Tidy Tuesday Exercise

Author

Rachel Robertson

Published

April 11, 2024

Tidy Tuesday Exercise with Data from Solar Eclipses

I will begin by loading the packages I need for analysis.

# Load packages for data cleaning, processing, visualization, and analysis
library(tidytuesdayR) ## tidy Tuesday package to access data
library(tidyverse)
── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
✔ dplyr     1.1.4     ✔ readr     2.1.4
✔ forcats   1.0.0     ✔ stringr   1.5.1
✔ ggplot2   3.4.4     ✔ tibble    3.2.1
✔ lubridate 1.9.3     ✔ tidyr     1.3.0
✔ purrr     1.0.2     
── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag()    masks stats::lag()
ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(tidymodels)
── Attaching packages ────────────────────────────────────── tidymodels 1.1.1 ──
✔ broom        1.0.5     ✔ rsample      1.2.0
✔ dials        1.2.0     ✔ tune         1.1.2
✔ infer        1.0.5     ✔ workflows    1.1.3
✔ modeldata    1.2.0     ✔ workflowsets 1.0.1
✔ parsnip      1.1.1     ✔ yardstick    1.2.0
✔ recipes      1.0.9     
── Conflicts ───────────────────────────────────────── tidymodels_conflicts() ──
✖ scales::discard() masks purrr::discard()
✖ dplyr::filter()   masks stats::filter()
✖ recipes::fixed()  masks stringr::fixed()
✖ dplyr::lag()      masks stats::lag()
✖ yardstick::spec() masks readr::spec()
✖ recipes::step()   masks stats::step()
• Use suppressPackageStartupMessages() to eliminate package startup messages
library(here)
here() starts at C:/Users/rrsta/OneDrive/Desktop/MADAcourseexercises/MADAcourserepo
library(dplyr)
library(ggplot2)
library(rsample)
library(yardstick)
library(doParallel)
Loading required package: foreach

Attaching package: 'foreach'

The following objects are masked from 'package:purrr':

    accumulate, when

Loading required package: iterators
Loading required package: parallel
library(mgcv) # engine for GAM model
Loading required package: nlme

Attaching package: 'nlme'

The following object is masked from 'package:dplyr':

    collapse

This is mgcv 1.9-1. For overview type 'help("mgcv-package")'.

Now, I will load the data set from NASA including the timing and location of solar eclipses in 2023 and 2024.

# Load data using the tidy Tuesday package
tuesdata <- tidytuesdayR::tt_load('2024-04-09') ## select the data from this week
--- Compiling #TidyTuesday Information for 2024-04-09 ----
--- There are 4 files available ---
--- Starting Download ---

    Downloading file 1 of 4: `eclipse_annular_2023.csv`
    Downloading file 2 of 4: `eclipse_total_2024.csv`
    Downloading file 3 of 4: `eclipse_partial_2023.csv`
    Downloading file 4 of 4: `eclipse_partial_2024.csv`
--- Download complete ---
# Create a data frame for each object in this week's data
eclipse_annular_2023 <- tuesdata$eclipse_annular_2023
eclipse_total_2024 <- tuesdata$eclipse_total_2024
eclipse_partial_2023 <- tuesdata$eclipse_partial_2023
eclipse_partial_2024 <- tuesdata$eclipse_partial_2024

Now, I will begin looking at the structure and summary of the data and cleaning the data.

# Annular Eclipse 2023
str(eclipse_annular_2023)
spc_tbl_ [811 × 10] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
 $ state    : chr [1:811] "AZ" "AZ" "AZ" "AZ" ...
 $ name     : chr [1:811] "Chilchinbito" "Chinle" "Del Muerto" "Dennehotso" ...
 $ lat      : num [1:811] 36.5 36.2 36.2 36.8 35.7 ...
 $ lon      : num [1:811] -110 -110 -109 -110 -109 ...
 $ eclipse_1: 'hms' num [1:811] 15:10:50 15:11:10 15:11:20 15:10:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:811] 15:56:20 15:56:50 15:57:00 15:56:20 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:811] 16:30:29 16:31:21 16:31:13 16:29:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:811] 16:33:31 16:34:06 16:34:31 16:34:07 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:811] 17:09:40 17:10:30 17:10:40 17:09:40 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_6: 'hms' num [1:811] 18:02:10 18:03:20 18:03:30 18:02:00 ...
  ..- attr(*, "units")= chr "secs"
 - attr(*, "spec")=
  .. cols(
  ..   state = col_character(),
  ..   name = col_character(),
  ..   lat = col_double(),
  ..   lon = col_double(),
  ..   eclipse_1 = col_time(format = ""),
  ..   eclipse_2 = col_time(format = ""),
  ..   eclipse_3 = col_time(format = ""),
  ..   eclipse_4 = col_time(format = ""),
  ..   eclipse_5 = col_time(format = ""),
  ..   eclipse_6 = col_time(format = "")
  .. )
 - attr(*, "problems")=<externalptr> 
summary(eclipse_annular_2023)
    state               name                lat             lon         
 Length:811         Length:811         Min.   :27.22   Min.   :-124.45  
 Class :character   Class :character   1st Qu.:31.30   1st Qu.:-111.98  
 Mode  :character   Mode  :character   Median :35.42   Median :-106.70  
                                       Mean   :35.41   Mean   :-108.05  
                                       3rd Qu.:38.42   3rd Qu.:-101.36  
                                       Max.   :44.87   Max.   : -96.72  
  eclipse_1         eclipse_2         eclipse_3         eclipse_4       
 Length:811        Length:811        Length:811        Length:811       
 Class1:hms        Class1:hms        Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime   Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric    Mode  :numeric    Mode  :numeric   
                                                                        
                                                                        
  eclipse_5         eclipse_6       
 Length:811        Length:811       
 Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric   
                                    
                                    
# Total Eclipse 2024
str(eclipse_total_2024)
spc_tbl_ [3,330 × 10] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
 $ state    : chr [1:3330] "AR" "AR" "AR" "AR" ...
 $ name     : chr [1:3330] "Acorn" "Adona" "Alexander" "Alicia" ...
 $ lat      : num [1:3330] 34.6 35 34.6 35.9 35.4 ...
 $ lon      : num [1:3330] -94.2 -92.9 -92.5 -91.1 -93.7 ...
 $ eclipse_1: 'hms' num [1:3330] 17:30:40 17:33:20 17:33:20 17:37:30 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:3330] 18:15:50 18:18:30 18:18:30 18:22:40 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:3330] 18:47:35 18:50:08 18:51:09 18:54:29 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:3330] 18:51:37 18:54:22 18:53:38 18:58:05 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:3330] 19:23:40 19:26:10 19:26:20 19:29:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_6: 'hms' num [1:3330] 20:08:30 20:10:50 20:11:10 20:14:10 ...
  ..- attr(*, "units")= chr "secs"
 - attr(*, "spec")=
  .. cols(
  ..   state = col_character(),
  ..   name = col_character(),
  ..   lat = col_double(),
  ..   lon = col_double(),
  ..   eclipse_1 = col_time(format = ""),
  ..   eclipse_2 = col_time(format = ""),
  ..   eclipse_3 = col_time(format = ""),
  ..   eclipse_4 = col_time(format = ""),
  ..   eclipse_5 = col_time(format = ""),
  ..   eclipse_6 = col_time(format = "")
  .. )
 - attr(*, "problems")=<externalptr> 
summary(eclipse_total_2024)
    state               name                lat             lon         
 Length:3330        Length:3330        Min.   :28.45   Min.   :-101.16  
 Class :character   Class :character   1st Qu.:35.42   1st Qu.: -92.41  
 Mode  :character   Mode  :character   Median :39.24   Median : -86.56  
                                       Mean   :38.33   Mean   : -86.93  
                                       3rd Qu.:41.22   3rd Qu.: -82.31  
                                       Max.   :46.91   Max.   : -67.43  
  eclipse_1         eclipse_2         eclipse_3         eclipse_4       
 Length:3330       Length:3330       Length:3330       Length:3330      
 Class1:hms        Class1:hms        Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime   Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric    Mode  :numeric    Mode  :numeric   
                                                                        
                                                                        
  eclipse_5         eclipse_6       
 Length:3330       Length:3330      
 Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric   
                                    
                                    
# Partial Eclipse 2023
str(eclipse_partial_2023)
spc_tbl_ [31,363 × 9] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
 $ state    : chr [1:31363] "AL" "AL" "AL" "AL" ...
 $ name     : chr [1:31363] "Abanda" "Abbeville" "Adamsville" "Addison" ...
 $ lat      : num [1:31363] 33.1 31.6 33.6 34.2 32.9 ...
 $ lon      : num [1:31363] -85.5 -85.3 -87 -87.2 -87.7 ...
 $ eclipse_1: 'hms' num [1:31363] 15:41:20 15:42:30 15:38:20 15:37:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:31363] 16:23:30 16:25:50 16:20:50 16:19:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:31363] 17:11:10 17:13:50 17:07:50 17:06:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:31363] 18:00:00 18:03:10 17:56:30 17:55:10 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:31363] 18:45:10 18:49:30 18:42:10 18:40:30 ...
  ..- attr(*, "units")= chr "secs"
 - attr(*, "spec")=
  .. cols(
  ..   state = col_character(),
  ..   name = col_character(),
  ..   lat = col_double(),
  ..   lon = col_double(),
  ..   eclipse_1 = col_time(format = ""),
  ..   eclipse_2 = col_time(format = ""),
  ..   eclipse_3 = col_time(format = ""),
  ..   eclipse_4 = col_time(format = ""),
  ..   eclipse_5 = col_time(format = "")
  .. )
 - attr(*, "problems")=<externalptr> 
summary(eclipse_partial_2023)
    state               name                lat             lon         
 Length:31363       Length:31363       Min.   :17.96   Min.   :-176.60  
 Class :character   Class :character   1st Qu.:35.36   1st Qu.: -97.50  
 Mode  :character   Mode  :character   Median :39.56   Median : -89.26  
                                       Mean   :38.80   Mean   : -91.97  
                                       3rd Qu.:41.93   3rd Qu.: -81.14  
                                       Max.   :71.25   Max.   : 174.11  
  eclipse_1         eclipse_2         eclipse_3         eclipse_4       
 Length:31363      Length:31363      Length:31363      Length:31363     
 Class1:hms        Class1:hms        Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime   Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric    Mode  :numeric    Mode  :numeric   
                                                                        
                                                                        
  eclipse_5       
 Length:31363     
 Class1:hms       
 Class2:difftime  
 Mode  :numeric   
                  
                  
# Partial Eclipse 2024
str(eclipse_partial_2024)
spc_tbl_ [28,844 × 9] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
 $ state    : chr [1:28844] "AL" "AL" "AL" "AL" ...
 $ name     : chr [1:28844] "Abanda" "Abbeville" "Adamsville" "Addison" ...
 $ lat      : num [1:28844] 33.1 31.6 33.6 34.2 32.9 ...
 $ lon      : num [1:28844] -85.5 -85.3 -87 -87.2 -87.7 ...
 $ eclipse_1: 'hms' num [1:28844] 17:43:00 17:41:40 17:41:00 17:41:30 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:28844] 18:24:10 18:21:40 18:23:10 18:24:10 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:28844] 19:02:00 19:00:30 19:00:00 19:00:30 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:28844] 19:39:20 19:38:50 19:36:40 19:36:40 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:28844] 20:18:50 20:17:20 20:17:30 20:18:00 ...
  ..- attr(*, "units")= chr "secs"
 - attr(*, "spec")=
  .. cols(
  ..   state = col_character(),
  ..   name = col_character(),
  ..   lat = col_double(),
  ..   lon = col_double(),
  ..   eclipse_1 = col_time(format = ""),
  ..   eclipse_2 = col_time(format = ""),
  ..   eclipse_3 = col_time(format = ""),
  ..   eclipse_4 = col_time(format = ""),
  ..   eclipse_5 = col_time(format = "")
  .. )
 - attr(*, "problems")=<externalptr> 
summary(eclipse_partial_2024)
    state               name                lat             lon         
 Length:28844       Length:28844       Min.   :17.96   Min.   :-176.60  
 Class :character   Class :character   1st Qu.:35.24   1st Qu.: -99.08  
 Mode  :character   Mode  :character   Median :39.52   Median : -90.30  
                                       Mean   :38.76   Mean   : -93.00  
                                       3rd Qu.:42.04   3rd Qu.: -81.16  
                                       Max.   :71.25   Max.   : 174.11  
  eclipse_1         eclipse_2         eclipse_3         eclipse_4       
 Length:28844      Length:28844      Length:28844      Length:28844     
 Class1:hms        Class1:hms        Class1:hms        Class1:hms       
 Class2:difftime   Class2:difftime   Class2:difftime   Class2:difftime  
 Mode  :numeric    Mode  :numeric    Mode  :numeric    Mode  :numeric   
                                                                        
                                                                        
  eclipse_5       
 Length:28844     
 Class1:hms       
 Class2:difftime  
 Mode  :numeric   
                  
                  

The data frames all include the variables: state (chr), name(chr), lat(num), lon(num), and several eclipse time variables. It looks like some of the data frames include overlapping latitude and longitude ranges. They also have some of the same state and name (or city) values. The eclipse variables include a series of different points in the eclipse capturing the time that they that place. These have a wide range and depend on the location and eclipse range for each data frame. ## Data Cleaning I will start cleaning the data by looking for missing variables and removing them.

# Look for missing data in all data frames
colSums(is.na(eclipse_total_2024))
    state      name       lat       lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 
        0         0         0         0         0         0         0         0 
eclipse_5 eclipse_6 
        0         0 
colSums(is.na(eclipse_annular_2023))
    state      name       lat       lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 
        0         0         0         0         0         0         0         0 
eclipse_5 eclipse_6 
        0         0 
colSums(is.na(eclipse_partial_2023))
    state      name       lat       lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 
        0         0         0         0         0         0         0         0 
eclipse_5 
        0 
colSums(is.na(eclipse_partial_2024))
    state      name       lat       lon eclipse_1 eclipse_2 eclipse_3 eclipse_4 
        0         0         0         0         0         0         0         0 
eclipse_5 
        0 

There seems to be no missing values in any of the data sets so this does not need to be cleaned. We will move on to exploring the name variable. The name value, which is the city name, has some cities with spaces between their names. We will fix this by replacing the spaces in the city name with an underscore.

# Replace space in city names with an underscore
eclipse_total_2024$name<-gsub(" ", "_", eclipse_total_2024$name)
eclipse_annular_2023$name<-gsub(" ", "_", eclipse_annular_2023$name)
eclipse_partial_2023$name<-gsub(" ", "_", eclipse_partial_2023$name)
eclipse_partial_2024$name<-gsub(" ", "_", eclipse_partial_2024$name)
str(eclipse_total_2024$name) # check structure of one object as an example
 chr [1:3330] "Acorn" "Adona" "Alexander" "Alicia" "Alix" "Alleene" ...

Now that all of the spaces in the city names have an underscore rather than a space, we can convert this character variable into a factor for the ease of working with it. We will also change the state character variable to a factor for the same reason

# Change the character variables to factors
names <- c('state', 'name')
eclipse_total_2024 <- eclipse_total_2024 %>%
  mutate(across(names, as.factor))
Warning: There was 1 warning in `mutate()`.
ℹ In argument: `across(names, as.factor)`.
Caused by warning:
! Using an external vector in selections was deprecated in tidyselect 1.1.0.
ℹ Please use `all_of()` or `any_of()` instead.
  # Was:
  data %>% select(names)

  # Now:
  data %>% select(all_of(names))

See <https://tidyselect.r-lib.org/reference/faq-external-vector.html>.
eclipse_annular_2023 <- eclipse_annular_2023 %>%
  mutate(across(names, as.factor))
eclipse_partial_2023 <- eclipse_partial_2023 %>%
  mutate(across(names, as.factor))
eclipse_partial_2024 <- eclipse_partial_2024 %>%
  mutate(across(names, as.factor))
str(eclipse_total_2024) # check structure of one as an example
tibble [3,330 × 10] (S3: tbl_df/tbl/data.frame)
 $ state    : Factor w/ 14 levels "AR","IL","IN",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ name     : Factor w/ 2938 levels "Abbott","Abington",..: 3 10 21 27 28 29 35 42 44 49 ...
 $ lat      : num [1:3330] 34.6 35 34.6 35.9 35.4 ...
 $ lon      : num [1:3330] -94.2 -92.9 -92.5 -91.1 -93.7 ...
 $ eclipse_1: 'hms' num [1:3330] 17:30:40 17:33:20 17:33:20 17:37:30 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:3330] 18:15:50 18:18:30 18:18:30 18:22:40 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:3330] 18:47:35 18:50:08 18:51:09 18:54:29 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:3330] 18:51:37 18:54:22 18:53:38 18:58:05 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:3330] 19:23:40 19:26:10 19:26:20 19:29:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_6: 'hms' num [1:3330] 20:08:30 20:10:50 20:11:10 20:14:10 ...
  ..- attr(*, "units")= chr "secs"

Now that there is a limited number of state and name variables, as factors, we can see how many times each of them occur in each data frame. I am interested in seeing which cities and states occur more than once

# Total eclipse 2024
n1 <- eclipse_total_2024 %>% 
      group_by(name) %>% 
      tally() %>%
  filter(n > 1)

s1 <- eclipse_total_2024 %>% 
      group_by(state) %>% 
      tally() %>%
  filter(n > 1)

# partial eclipse 2024
n2 <- eclipse_partial_2024 %>% 
      group_by(name) %>% 
      tally() %>%
  filter(n > 1)

s2 <- eclipse_partial_2024 %>% 
      group_by(state) %>% 
      tally() %>%
  filter(n > 1)

# partial eclipse 2023
n3 <- eclipse_partial_2023 %>% 
      group_by(name) %>% 
      tally() %>%
  filter(n > 1)

s3 <- eclipse_partial_2023 %>% 
      group_by(state) %>% 
      tally() %>%
  filter(n > 1)

# annular eclipse 2023
n4 <- eclipse_annular_2023 %>% 
      group_by(name) %>% 
      tally() %>%
  filter(n > 1)

s4 <- eclipse_annular_2023 %>% 
      group_by(state) %>% 
      tally() %>%
  filter(n > 1)

# to find the state and city most repeated among all 4 eclipses, I will have to get the sum of n for nx and sx for each name or state respectively

# Combine tallies for each variable (either name or state)
combined_n <- bind_rows(n1, n2, n3, n4)
combined_s <- bind_rows(s1, s2, s3, s4)

# Summarize combined tallies by name
total_n <- combined_n %>%
  group_by(name) %>%
  summarize(total_n = sum(n))

# Summarize combined tallies by state
total_s <- combined_s %>%
  group_by(state) %>%
  summarize(total_s = sum(n))

# Now I will make a histogram to look at the total_n and total_s for each city and state 
## it is difficult to see the city names so I will filter to exclude some of the cities with a smaller n sum
total_n_filtered <- total_n %>%
  filter(total_n >= 25)
# Plot of cities that frequently undergo eclipse
total_city <- ggplot(total_n_filtered, aes(x = reorder(name, -total_n), y = total_n)) +
  geom_bar(stat = "identity", fill = "skyblue", color = "black") +
  labs(title = "Most Frequent City for any Eclipse 2023-2024",
       x = "City name",
       y = "Sum of eclipse")+
  theme(axis.text.x = element_text(angle = 90, hjust = 1, size = 8))

total_city

# Plot of states with frequent eclipses
total_state <- ggplot(total_s, aes(x = reorder(state, -total_s), y = total_s)) +
  geom_bar(stat = "identity", fill = "skyblue", color = "black") +
  labs(title = "Most Frequent State for any Eclipse 2023-2024",
       x = "State",
       y = "Sum of eclipse")+
  theme(axis.text.x = element_text(angle = 90, hjust = 1))

total_state

It looks like the top three most frequent states for eclipses are PA, TX, and CA while the top three cities are Fairview, Fraklin, and Clinton.

I now want to look at the differences in longitude and latitude of all of the eclipses. To do this I will create a scatter plot of these values with colors to distinguish each of the eclipse types

# Compare the longitude and latitude across all eclipses)
## Note; I went to chat gpt to ask how to group data frames by color when they are plotted in a scatter plot
# Add a grouping variable to each data frame
eclipse_partial_2023$group <- "a"
eclipse_partial_2024$group <- "b"
eclipse_total_2024$group <- "c"
eclipse_annular_2023$group <- "d"

# Combine data frames into one
combined <- bind_rows(eclipse_partial_2023, eclipse_partial_2024, eclipse_total_2024, eclipse_annular_2023)

# Plot longitude and latitude for all data frames
eclipse_location <- ggplot(combined, aes(x = lon, y = lat, color = group)) +
  geom_point() +
  labs(title = "Longitude and Latitude for All Eclipses",
       x = "Longitude",
       y = "Latitude")
eclipse_location

You can see the shape of the eastern half of the U.S. in this scatter plot with the partial eclipse dots (b). You can also see the paths of the total and annular eclipses. I am guessing that the other partial eclipse, red, is in the same locations as the partial eclipse, b, and cannot be seen because the dots overlap.

I will reproduce the graph with just the total and annular eclipses to examine their point of crossover.

# Total and annular eclipse combined into a scatter plot of longitude and latitude
totcombined <- bind_rows(eclipse_total_2024, eclipse_annular_2023)

# Plot longitude and latitude for all data frames
eclipse_tot_an <- ggplot(totcombined, aes(x = lon, y = lat, color = group)) +
  geom_point() +
  labs(title = "Longitude and Latitude for Total and Annular Eclipses",
       x = "Longitude",
       y = "Latitude")
eclipse_tot_an

Now you may visualize where the paths of the total and annular eclipses would meet. This is around a longitude of -100 and latitude of 30.

Question

After exploring the data, I think it would be interesting to focus on the total eclipse data. This is not only because it is more recent, but it also includes more rows than the annular eclipse data. I chose not to analyze the partial eclipse data because of how scattered the location data is. This will make it hard for me to find location dependent trends, which is what I am most interested in. I am interested in examining how location (longitude and latitude) might be related to the time spent in totality. To answer this we will first make a column for time spent under totality.

# new variable for time under totality
total_ecl <- eclipse_total_2024%>% 
  mutate(totality = eclipse_4 - eclipse_3) # end of eclipse totality minus beginning of totality
total_ecl$totality <- as.numeric(total_ecl$totality) # convert to time in totality in seconds
str(total_ecl) # check structure
tibble [3,330 × 12] (S3: tbl_df/tbl/data.frame)
 $ state    : Factor w/ 14 levels "AR","IL","IN",..: 1 1 1 1 1 1 1 1 1 1 ...
 $ name     : Factor w/ 2938 levels "Abbott","Abington",..: 3 10 21 27 28 29 35 42 44 49 ...
 $ lat      : num [1:3330] 34.6 35 34.6 35.9 35.4 ...
 $ lon      : num [1:3330] -94.2 -92.9 -92.5 -91.1 -93.7 ...
 $ eclipse_1: 'hms' num [1:3330] 17:30:40 17:33:20 17:33:20 17:37:30 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_2: 'hms' num [1:3330] 18:15:50 18:18:30 18:18:30 18:22:40 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_3: 'hms' num [1:3330] 18:47:35 18:50:08 18:51:09 18:54:29 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_4: 'hms' num [1:3330] 18:51:37 18:54:22 18:53:38 18:58:05 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_5: 'hms' num [1:3330] 19:23:40 19:26:10 19:26:20 19:29:50 ...
  ..- attr(*, "units")= chr "secs"
 $ eclipse_6: 'hms' num [1:3330] 20:08:30 20:10:50 20:11:10 20:14:10 ...
  ..- attr(*, "units")= chr "secs"
 $ group    : chr [1:3330] "c" "c" "c" "c" ...
 $ totality : num [1:3330] 242 254 149 216 186 241 214 176 149 230 ...

I will create a heat map to visualize longitude and latitude with time spend under totality. This is useful because I can spatially see where totality has the greatest time, in relation to longitude and latitude. A long time will be a darker color on the heat map.

# create a heat map using ggplot2
tot_ecl_plot <- ggplot(total_ecl, aes(x = lon, y = lat, fill = totality)) +
  geom_tile(width = 1, height = 1) +  # Set width and height of tiles to 1 (adjust as needed)
  scale_fill_gradient(low = "blue", high = "red") +
  labs(x = "Longitude", y = "Latitude", fill = "Time Under Totality (sec)") +
  ggtitle("Time Under Totality Based On Location in U.S. 2024 Total Eclipse")
tot_ecl_plot

It seems that the time under totality is greatest towards the center of the eclipse path, and the time decreases as you approach the outer edges of the path ## Fitting ### Linear Regression The simplest way to characterize the relationship between time under totality and latitude/ longitude would be by using linear regression because the longest time under totality follows a nearly linear path in the center of the eclipse path. This, however, may not be able to capture the changing gradient of totality time from the center to the edges of the eclipse path. We will attempt to fit a linear regression with machine learning anyways.

# split into training and testing data
split_data <- initial_split(total_ecl, prop = 3/4) # split it 3/4 training to testing data
train_data <- training(split_data) # create data frame for training data
test_data  <- testing(split_data) # create data frame for testing data

# Linear Regression
set.seed(123) # set seed for reproducibility
glm_recipe <- 
  recipe(totality ~ lat + lon, data = train_data) # specify the recipe

glm_model <- linear_reg() %>% # set engine and mode for model
  set_engine("lm") %>% 
  set_mode("regression") 

glm_workflow <- workflow() %>% # create workflow with recipe and model
  add_model(glm_model) %>% 
  add_recipe(glm_recipe) 

glm_fit <- 
  glm_workflow %>% # fit the model to the training data using the workflow
  fit(data = train_data) 
tidy(glm_fit) 
# A tibble: 3 × 5
  term        estimate std.error statistic    p.value
  <chr>          <dbl>     <dbl>     <dbl>      <dbl>
1 (Intercept)  -266.     115.        -2.31 0.0207    
2 lat             4.27     1.33       3.21 0.00136   
3 lon            -3.30     0.742     -4.44 0.00000917

It looks like latitude is positively related to time under totality and longitude is negatively related. The lat and lon estimates, 4.1 and -3.4 respectively, are fairly close to one another.

Now let’s evaluate how well this model performs by producing some predictions and finding performance metrics.

# Use fit model to make predictions
glm_aug <- augment(glm_fit, train_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
eval_metrics(data = glm_aug,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae       49.7   
2 rmse      62.2   
3 rsq        0.0166

These do not seem to be the ideal values of performance metrics. The MAE of 50 means that the predictions were about 50 units off from the observed values. The RMSE is slightly higher than MAE because the square root adds weight to error. The R squared value is very low, which is also bad because it means that the model doesn’t capture the variance in the variables.

To try and improve this poorly fitting model, we will use cross validation.

# cross validation
folds <- vfold_cv(train_data, v = 5) # assign a number of folds
cv_glm_wf <- 
  workflow() %>% #define an object for the cv workflow 
  add_model(glm_model) %>%
  add_recipe(glm_recipe)

cv_glm_fit <- 
  cv_glm_wf %>% # apply cv workflow to an object for the cv fit
  fit_resamples(folds)
print(cv_glm_fit)
# Resampling results
# 5-fold cross-validation 
# A tibble: 5 × 4
  splits             id    .metrics         .notes          
  <list>             <chr> <list>           <list>          
1 <split [1997/500]> Fold1 <tibble [2 × 4]> <tibble [0 × 3]>
2 <split [1997/500]> Fold2 <tibble [2 × 4]> <tibble [0 × 3]>
3 <split [1998/499]> Fold3 <tibble [2 × 4]> <tibble [0 × 3]>
4 <split [1998/499]> Fold4 <tibble [2 × 4]> <tibble [0 × 3]>
5 <split [1998/499]> Fold5 <tibble [2 × 4]> <tibble [0 × 3]>
# Examine metrics of the cv fit linear model
glm_cv_metrics <- cv_glm_fit %>%
  collect_metrics() %>% # get the metrics for all of the re-sampled folds
  filter(.metric %in% c("rmse", "mae", "rsq")) # filter by metrics we want
print(glm_cv_metrics)
# A tibble: 2 × 6
  .metric .estimator    mean     n std_err .config             
  <chr>   <chr>        <dbl> <int>   <dbl> <chr>               
1 rmse    standard   62.3        5 0.903   Preprocessor1_Model1
2 rsq     standard    0.0164     5 0.00523 Preprocessor1_Model1

It seems that the cross validation slightly increased the R squared to 0.022, but did not affect the rmse very much, if at all. This means that the model is the slightest bit better, but it seems that the linear model is much too simple for the trends in the data. To determine why this might be, I am going to plot the residuals and see how they are distributed

plotresiduals <- data.frame(
  linear_model = c(glm_aug$.pred), 
  residuals = c(glm_aug$.pred - glm_aug$totality)) #calculate residuals by predicted - observed
plotresiduals
     linear_model     residuals
1        184.6417  -3.358258775
2        182.3557  56.355721279
3        190.7776 -13.222387522
4        193.9508  40.950799968
5        192.7517  18.751655968
6        193.2240  16.223973778
7        186.3831 -54.616912891
8        186.3832 -55.616791629
9        193.4518 -37.548202041
10       181.9026 -24.097402725
11       187.3359  35.335871558
12       170.8608  35.860800872
13       178.2793 -43.720744392
14       189.4086 -20.591434594
15       195.5334  68.533377571
16       187.3694 -16.630627813
17       184.9840 -23.015997475
18       190.1736 -27.826387441
19       192.5938 -56.406176325
20       194.4913   7.491293082
21       171.2681  29.268087601
22       190.5218 -65.478229297
23       188.8485 -12.151509732
24       183.8876 -14.112373491
25       184.4539 -53.546143276
26       190.1465 -60.853512909
27       178.2391 158.239108978
28       175.6371  36.637075704
29       186.4278 -35.572247600
30       192.9604  15.960434547
31       187.6902 -56.309755326
32       180.4677 -24.532273856
33       181.2775 -51.722490876
34       184.6685 -43.331530904
35       172.3644 -45.635601371
36       180.4220 -42.578013072
37       188.0740 -34.926046921
38       155.9468 -48.053182163
39       184.5970 -42.402975715
40       195.7099  78.709914326
41       184.7221 -39.277931202
42       174.0222 -26.977797370
43       190.5001 -63.499885280
44       194.5302  84.530169324
45       190.8092 -41.190832017
46       194.8595   9.859478133
47       186.0331  38.033067349
48       189.4223 -59.577674891
49       186.5355  19.535544275
50       178.5094  -5.490618323
51       168.9522  91.952165569
52       188.0765 -23.923526344
53       165.6026 -36.397419989
54       187.4935 -15.506524218
55       186.1548 -48.845234875
56       193.7339 -35.266078503
57       189.5783 -62.421745268
58       189.6160 -35.383999774
59       179.8726 -49.127425168
60       187.8896 -58.110360807
61       185.3300 -36.670015488
62       176.8821  16.882076615
63       184.2396  23.239602389
64       172.4474  34.447390947
65       180.0025   0.002459479
66       186.3137  10.313733584
67       188.2631 -24.736913204
68       195.1008 185.100778858
69       195.4311  50.431111028
70       194.9537  56.953698091
71       188.7992  -6.200808970
72       187.3158  36.315810160
73       189.8048  11.804769685
74       177.0586 -47.941419407
75       182.3410 -51.659019416
76       177.3864 167.386381334
77       188.2584 -26.741616488
78       191.5545  31.554524620
79       188.7601 -59.239891706
80       190.4325 -44.567488663
81       169.6621  76.662067684
82       176.4014 -44.598561535
83       188.0033  -4.996657866
84       188.0645 -47.935488317
85       184.9139 -40.086142389
86       175.2908  19.290848149
87       184.7492 164.749200503
88       186.3015 156.301463126
89       182.5395  37.539494408
90       188.5088 -48.491157861
91       189.5490 -53.451024516
92       184.9048 -48.095214681
93       173.5310 -19.469048482
94       158.8352  14.835150334
95       187.8661 -29.133875243
96       185.2087 -54.791277296
97       193.1998 -40.800154490
98       175.8363 161.836332783
99       186.9256   6.925569625
100      178.7148 -24.285220434
101      181.0872 171.087206282
102      186.0301  20.030070576
103      165.6630 -45.336951432
104      173.0224 -37.977624764
105      180.9610 -36.038987477
106      182.3944 -50.605649577
107      185.4526 175.452586500
108      193.8413 -26.158718557
109      191.3670  92.367046612
110      186.8422 -44.157789723
111      155.3138 -12.686222739
112      191.2468 -61.753242590
113      187.1213  43.121328607
114      186.6273  -5.372744100
115      186.8819   2.881893650
116      188.9740 -48.025963979
117      183.5870 -38.413043602
118      187.7330 -13.266995999
119      171.5128 -49.487173815
120      195.0958  19.095818585
121      190.8982 -59.101846545
122      179.4752 -37.524799664
123      190.4394 -57.560598314
124      191.0549 -73.945055521
125      195.0075  13.007482790
126      188.5915 -37.408520559
127      185.6109 -38.389080033
128      183.6041 -19.395866991
129      179.9919  27.991864288
130      182.4738 -52.526193554
131      186.6490 -56.351009646
132      180.7034 -50.296558436
133      185.6802  -1.319800718
134      187.9874 -38.012619132
135      188.2752 -53.724818688
136      195.0229  20.022910974
137      186.9391 -56.060858585
138      189.5461 -60.453863296
139      164.8886 -46.111423232
140      178.8261   7.826089141
141      188.8120 -50.188046920
142      188.5219 -47.478143747
143      181.9453  10.945292920
144      181.5730  57.572965997
145      185.8343 100.834308419
146      189.0347 -55.965253642
147      179.8696 -21.130353399
148      180.3448 -19.655150156
149      194.3618 130.361789908
150      183.4244 -47.575629189
151      182.5312 -23.468797062
152      179.4425  -6.557472599
153      174.3297 -42.670330551
154      196.3952 186.395159521
155      191.3834 -54.616619841
156      179.7953 -18.204701595
157      196.1293 126.129315446
158      181.1435 142.143457410
159      187.6297 -27.370277629
160      168.3008  -3.699198920
161      185.6111  71.611073079
162      187.1698 -47.830186138
163      181.3332 -31.666776498
164      162.7718 -22.228236470
165      185.5532  45.553168983
166      191.9793 -69.020691359
167      182.0891  -2.910850553
168      185.6399 -40.360081489
169      186.9815 -57.018519202
170      191.4178 -67.582249661
171      171.3987   0.398656406
172      188.3687 -40.631265908
173      181.1467 -13.853270758
174      172.3817 -16.618312926
175      177.2565 -23.743549137
176      185.7190 -24.280971994
177      185.3603 -49.639691374
178      191.2435 -65.756502095
179      181.4150 -34.584989053
180      184.0910  10.091045186
181      190.4945 -64.505469421
182      190.7609 164.760884189
183      185.1538 -33.846178097
184      188.7138 -40.286155598
185      179.2071 -25.792917155
186      173.8689 -30.131052801
187      162.3526 -31.647375048
188      186.8156 -57.184406091
189      190.7167  95.716667918
190      191.9591 -67.040860799
191      190.2303 -72.769684884
192      195.8805  82.880535315
193      189.2701 -60.729946531
194      195.6180 179.618014564
195      186.5058 130.505796397
196      188.8915 -47.108487829
197      186.7830 -31.216967814
198      179.3905 -25.609497770
199      171.4363 -35.563718217
200      164.2910 -45.708993522
201      182.4138  -2.586239181
202      177.2820  46.281962496
203      186.7790 -56.220988605
204      190.3307 -68.669292391
205      192.3714  37.371386882
206      173.1747 -28.825322468
207      178.1405  28.140520351
208      186.5148  29.514840205
209      191.3210 -70.679025133
210      190.4972 -22.502820200
211      180.1177 -41.882274100
212      195.8452  90.845200878
213      189.8288  -0.171246969
214      191.9972 -14.002841236
215      181.3753 -50.624693364
216      186.2574  24.257427660
217      177.3755  27.375531269
218      171.5770 -27.422951528
219      174.3871  -4.612921713
220      182.8285  30.828451386
221      162.9993   5.999290503
222      189.2206  59.220581447
223      189.5776 -53.422449875
224      169.2567  83.256684199
225      180.1362 -42.863835454
226      179.7667 -17.233300160
227      188.0577 170.057695900
228      193.8225  22.822508257
229      179.9345   9.934470816
230      176.7328  74.732783994
231      172.5328  30.532750787
232      182.4802  72.480207829
233      194.0892  93.089150562
234      187.9486 -56.051424395
235      178.4327 138.432682565
236      192.7733 -51.226732048
237      177.3620  -0.638013027
238      186.6924   7.692358379
239      194.3400 -15.659968849
240      179.9910 105.990994916
241      182.8810 -49.119018658
242      179.2795 -24.720503421
243      182.2782 -51.721847050
244      164.0502 -29.949838523
245      185.2271 -54.772940892
246      188.8777 -56.122259423
247      188.9939 -10.006142058
248      192.2038  92.203832175
249      178.0097  64.009694003
250      190.6721 118.672112170
251      188.1637 -56.836329751
252      194.1103  15.110336019
253      188.0056 -57.994351977
254      177.7315  58.731477182
255      194.9142  10.914169604
256      163.5299 118.529904769
257      184.5600 -34.440006869
258      196.0883 144.088276586
259      192.8241  84.824075022
260      196.0262 121.026231388
261      180.4615 -28.538538261
262      191.8089 -70.191131771
263      191.4284 -69.571595919
264      186.2745 -20.725486931
265      196.3878 136.387789404
266      192.4301 167.430075350
267      184.4461 -42.553892463
268      178.0325 -43.967530513
269      182.6503 -17.349709025
270      185.7293 -37.270689382
271      190.2617 -68.738312263
272      187.5041 -57.495894055
273      174.0892  34.089235739
274      164.9640  -8.036022734
275      181.5522 -45.447806965
276      189.0160 -59.983999837
277      176.7695  -1.230541755
278      175.9882 -33.011822313
279      190.7127 -69.287280326
280      187.4929 -24.507106324
281      184.8390 -54.160972021
282      193.6267 -18.373307611
283      190.5867 -64.413316881
284      183.2303 -51.769733489
285      190.2347 -72.765262724
286      178.3069 -41.693122022
287      193.7138  32.713821557
288      192.9629 -52.037058710
289      189.9470 -34.053014402
290      185.0791 137.079066174
291      193.4142 -39.585823948
292      177.9948 -42.005226537
293      173.1831 -23.816880273
294      193.1959 -28.804060311
295      164.2832  -6.716774529
296      179.8015 -35.198540115
297      181.8600 -32.139951069
298      179.7381 -10.261905355
299      178.3742 156.374192098
300      164.0004 -15.999613222
301      195.6454  58.645355218
302      195.8089 115.808884633
303      187.4091 -57.590908916
304      188.6330 -36.366974806
305      190.1032 -61.896814138
306      186.0852 -31.914831015
307      191.5128 -60.487172734
308      180.4127 -10.587268210
309      172.0872   5.087171565
310      180.9364 -50.063565161
311      179.1849 -10.815087755
312      172.6044  14.604433234
313      193.8047 -32.195294476
314      189.1025 -52.897463321
315      189.1410   4.141047722
316      173.8418 -21.158157878
317      191.6727  41.672715119
318      191.2749 -70.725087655
319      191.6897 -68.310290408
320      191.0876 -65.912434058
321      173.3543 -16.645655298
322      187.0602 -55.939809760
323      179.9982 -38.001812615
324      184.7469  10.746922865
325      176.1400 -11.859984352
326      187.2968 -22.703182073
327      192.2751 -22.724902347
328      185.8259 -55.174123658
329      172.3968 -16.603180052
330      194.7201   4.720082688
331      185.1481 147.148088675
332      188.6712 -39.328770539
333      195.3518  43.351820142
334      190.7222 -65.277838437
335      190.7268 -66.273190038
336      184.5449 -53.455060635
337      187.5957  48.595681576
338      188.1751 -58.824850458
339      196.2303 155.230306698
340      182.9401  59.940070376
341      196.1556 126.155620486
342      195.7199  76.719914283
343      185.1640  49.164027739
344      179.8699  70.869918532
345      189.7247 -57.275299051
346      190.4621   5.462090510
347      194.8228 150.822837567
348      174.2660  98.266017641
349      191.1476 -72.852383629
350      193.0987 138.098745137
351      185.6171 156.617144426
352      187.5275 -39.472508316
353      188.3088 -27.691245377
354      187.2943  29.294344744
355      180.9871 108.987100527
356      190.0291  52.029088631
357      172.9494  -0.050555411
358      188.3489  20.348876045
359      189.6825 -61.317527172
360      177.9304 -45.069627849
361      176.3577 141.357672266
362      190.1711 126.171130759
363      191.1054 -38.894634018
364      195.6318 121.631774778
365      188.2257 -33.774261622
366      182.9681 -46.031898544
367      193.0023 -50.997714015
368      191.8148 111.814767453
369      186.3343 -36.665695789
370      195.5105 129.510486290
371      186.1429 -20.857097438
372      193.8602 -16.139752222
373      188.8276 -46.172424521
374      185.1933  -7.806678322
375      182.9245 -52.075510311
376      170.8491 -22.150898977
377      188.6036 -65.396359452
378      174.1283  16.128272203
379      180.8555 -48.144492473
380      164.7576  -6.242392756
381      177.2118  82.211767033
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1037     180.4744 -47.525580798
1038     182.4534   9.453442512
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1080     184.7060 -35.294035829
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1094     170.1971  58.197051990
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1100     190.1117 -67.888302588
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1106     187.3601 -50.639869100
1107     182.2445   8.244517987
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1110     186.2280  19.227981382
1111     176.2915  97.291465679
1112     158.9389  -8.061114579
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1114     187.5640  21.564043343
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1177     162.3551  -1.644923287
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1190     195.9404  74.940424318
1191     173.1895   0.189546781
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1234     162.9481  -2.051854516
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1300     173.4349  26.434906210
1301     177.7247  21.724738936
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1307     188.4775  28.477513816
1308     178.1551  -4.844852384
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1315     191.3327  23.332692343
1316     162.2941 -31.705865771
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1318     173.0634 -43.936603789
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1320     174.0607 -40.939322281
1321     181.2858 141.285796796
1322     195.9882 103.988234997
1323     163.9260  -6.073997032
1324     186.7061 -52.293922888
1325     187.3419  -0.658104293
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1329     178.1257 108.125699601
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1340     179.3645 -16.635499604
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1359     157.6929  59.692924992
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1370     188.0389  -8.961058646
1371     185.2451 -51.754855910
1372     189.7784  -8.221576111
1373     194.0380 174.037975158
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1380     182.2465 -45.753526129
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1389     194.9083  34.908267795
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1391     194.1105 -21.889549286
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1400     189.6527 -57.347309377
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1403     187.0646   3.064614874
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1407     183.8090 -45.191002930
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1409     190.9822   1.982171952
1410     177.9935 -38.006542245
1411     178.5964  17.596376823
1412     176.6382 -49.361805716
1413     186.6512  -3.348791456
1414     179.0652 -28.934809542
1415     184.0895  -8.910462567
1416     181.1174   7.117368318
1417     191.9103 -62.089653398
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1419     190.0678 -10.932181130
1420     190.0631 -53.936874368
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1423     182.5492  19.549177297
1424     176.9266 -14.073426188
1425     189.0015  71.001491524
1426     194.2459  12.245902212
1427     173.6437 -43.356289536
1428     184.6925  28.692496280
1429     184.6602 -48.339837819
1430     187.0326   2.032612403
1431     172.7878  60.787754640
1432     186.7342  37.734240418
1433     178.3286  10.328557100
1434     191.8238 157.823763098
1435     196.1312 126.131218091
1436     180.9967 -48.003300641
1437     172.1758  67.175836013
1438     181.2724 -50.727577347
1439     160.5347 132.534705818
1440     195.0136 177.013602624
1441     179.5743 138.574333755
1442     189.7106 -59.289362243
1443     180.2808 -50.719201092
1444     175.9532 -48.046827363
1445     190.0591 -60.940876966
1446     180.5591 -45.440943701
1447     164.9108 134.910788710
1448     191.1454 103.145447986
1449     188.7466 -44.253352321
1450     170.7561 -17.243857334
1451     188.1501  73.150071847
1452     160.6933  43.693285407
1453     176.6795  27.679482502
1454     186.4745 -26.525523840
1455     188.0217  70.021674132
1456     171.2636  39.263591019
1457     194.6848   6.684805120
1458     189.7109 115.710851282
1459     177.2886  44.288639223
1460     190.9475  -6.052528036
1461     188.7593  11.759279264
1462     192.8404 -53.159561740
1463     191.2176 -32.782402525
1464     180.2368 -46.763214800
1465     187.3775 -49.622472236
1466     172.2379 -26.762064283
1467     174.0353 -14.964654465
1468     173.2167   3.216708091
1469     186.5249 -44.475134614
1470     195.3372  28.337202556
1471     195.2203  24.220325590
1472     182.2685  20.268530504
1473     192.0691 122.069081931
1474     161.8266 -19.173414811
1475     190.6015 -64.398534080
1476     179.8900  60.890027781
1477     179.7337 -42.266269778
1478     176.3779 -49.622107169
1479     178.9917 -17.008310277
1480     183.4467 -49.553331656
1481     184.2875 154.287494955
1482     189.8648 -37.135160083
1483     187.7437  50.743690863
1484     193.3233 -44.676676261
1485     189.3487 -54.651281090
1486     177.3463 126.346286269
1487     188.6389 -55.361117151
1488     182.6401 172.640122557
1489     187.9342 -43.065815304
1490     187.5485 -41.451516964
1491     192.3909 -11.609100794
1492     164.2396 -22.760386274
1493     176.2215 -18.778492378
1494     191.6286 -66.371373915
1495     179.3253 -21.674729084
1496     191.8215  35.821484706
1497     188.3885  82.388479193
1498     182.0093 -44.990720487
1499     188.6212   1.621246051
1500     191.1725 -72.827458127
1501     188.4242 -52.575830637
1502     185.5825  18.582487215
1503     178.2738 -36.726242295
1504     188.0793 -50.920688257
1505     191.3578 -60.642189867
1506     168.2321 -47.767885786
1507     186.3945  74.394470160
1508     194.2321  39.232098447
1509     195.8734 114.873354596
1510     183.2404  93.240374229
1511     182.5030 -31.496970988
1512     185.7886  76.788552826
1513     184.1133 -52.886738287
1514     191.1430  -4.857038472
1515     193.8912 -26.108827959
1516     174.2906  80.290610001
1517     185.5254  19.525350055
1518     187.1229 -56.877099786
1519     187.5510 -11.449036308
1520     180.9442  75.944192515
1521     185.0443 -53.955727361
1522     177.2149 -44.785099366
1523     185.7393 -22.260732767
1524     189.0312 -56.968811139
1525     189.4031  51.403072881
1526     190.0180  38.017984593
1527     182.6593 -52.340728218
1528     187.4612 -52.538815615
1529     188.9926 -53.007402786
1530     176.5526  33.552603820
1531     190.8260 -65.173980221
1532     188.1654 -58.834553659
1533     192.3317 -63.668291714
1534     173.7909  -2.209054479
1535     190.4593 -63.540698677
1536     187.5119 -54.488134900
1537     186.9521   3.952126351
1538     193.8621 -23.137905919
1539     187.6511 -25.348887845
1540     189.1849 -58.815145963
1541     192.3188 -62.681170259
1542     169.5974  50.597425258
1543     186.8310  81.831010687
1544     182.8036  67.803567619
1545     177.9333  47.933275386
1546     188.1142 -54.885769582
1547     186.9235 -11.076478072
1548     195.2468  27.246793145
1549     194.2321 -12.767942070
1550     188.6868 -31.313163648
1551     188.7331 -30.266911706
1552     180.7639  59.763938809
1553     192.8042  21.804166100
1554     186.6576 -55.342361263
1555     177.5844 -48.415645625
1556     185.5410  21.540984589
1557     188.7070 -57.292982870
1558     189.3604 -37.639580107
1559     179.6945 -36.305452490
1560     190.0819 -70.918073308
1561     187.5282 -31.471845904
1562     169.0131 116.013143608
1563     188.0084 -70.991631198
1564     173.8894 -21.110600225
1565     187.5336 -32.466351449
1566     175.5488 -44.451199565
1567     171.9481  16.948110532
1568     159.3503  10.350348920
1569     186.2941   9.294052763
1570     170.5595 150.559465995
1571     195.9508  76.950781640
1572     195.2845  33.284454816
1573     170.6668  40.666793568
1574     193.2783 -32.721660150
1575     175.9422   3.942174795
1576     194.6413  -5.358657721
1577     194.0270  69.027046699
1578     169.9017  84.901667903
1579     185.8563 -30.143749137
1580     190.4984 -71.501554464
1581     190.3072 -62.692846510
1582     176.9070 -22.093018255
1583     179.3857 143.385732507
1584     190.7237 -72.276318346
1585     184.6425 -30.357521324
1586     187.8294 -45.170584155
1587     194.1938 -12.806192766
1588     169.4893  53.489269801
1589     184.5426 -30.457446611
1590     191.4417 132.441666940
1591     194.4327  -5.567306207
1592     188.2526 -69.747414972
1593     174.6574  -8.342570630
1594     190.6684 -53.331632190
1595     195.0763  34.076345000
1596     189.3418 -26.658204208
1597     183.8123 -47.187678415
1598     190.5430 -54.457037946
1599     169.1340  -8.865951064
1600     188.9371 -55.062941727
1601     190.2554 -66.744609801
1602     196.1783 126.178272230
1603     167.1013 147.101317104
1604     174.2782 -32.721838096
1605     185.8929 -51.107077200
1606     187.0159  36.015898374
1607     185.7552 123.755238967
1608     185.8340 -33.165963514
1609     195.1942  47.194168762
1610     185.4929 160.492942536
1611     170.8124 -26.187554334
1612     170.2179  83.217871245
1613     172.1684 -46.831608282
1614     173.1201 -34.879901685
1615     161.9197  28.919733422
1616     186.7075 -43.292458056
1617     189.3699 -39.630088447
1618     193.8876 -24.112446388
1619     187.1350 -55.864972721
1620     172.5480 -35.452046650
1621     180.6283 -19.371667608
1622     179.4580  84.458044350
1623     186.5168 -54.483207280
1624     192.7544 -56.245633069
1625     187.3538  30.353778880
1626     173.5487 -32.451319953
1627     181.9754   3.975372756
1628     172.1873 -47.812701767
1629     185.1022 165.102213126
1630     190.5666 -63.433364960
1631     192.1579 -51.842117607
1632     189.9021 -77.097901335
1633     184.3468  21.346811958
1634     182.5578  29.557771883
1635     185.3729 158.372851726
1636     173.5297 -21.470296348
1637     181.4079 -50.592131268
1638     185.4220 115.422041697
1639     187.9366 -56.063445389
1640     196.0534 137.053402220
1641     191.8247  -1.175305414
1642     182.1748   1.174845419
1643     177.7480 -43.251985147
1644     186.4834 158.483409420
1645     170.4155 -41.584542180
1646     192.5277 -42.472270421
1647     192.9251  18.925117066
1648     187.2212 -25.778776951
1649     175.8661   0.866068172
1650     186.0274 -54.972585030
1651     190.7888  64.788757189
1652     188.7494 -29.250592857
1653     161.9890  14.988983127
1654     185.4113 -45.588736087
1655     165.1360  -9.864040792
1656     184.9840 -36.015955938
1657     164.1964  -0.803582982
1658     187.2426  33.242561127
1659     188.6541 -56.345859468
1660     182.5469 -45.453102026
1661     193.8770 171.876970267
1662     176.6972 -47.302755939
1663     190.4662  74.466236621
1664     184.7736 -24.226376654
1665     186.4386 -52.561392970
1666     190.1760 -70.823988025
1667     195.9209  94.920941779
1668     175.6436 -46.356428523
1669     180.6064 -47.393592062
1670     173.2929  20.292892741
1671     171.3386 -47.661366782
1672     188.2617 -73.738271947
1673     191.4179 -61.582139255
1674     170.6729  21.672934947
1675     186.9441 -26.055886377
1676     176.9396  -6.060360573
1677     177.1061 -46.893868829
1678     188.2904 -12.709603388
1679     190.5262 -55.473811312
1680     191.8134  56.813388210
1681     177.1619 -48.838055060
1682     187.6631 -38.336859706
1683     195.4130  36.413011926
1684     192.0327  86.032666078
1685     190.1749  -1.825132240
1686     178.4888  38.488810814
1687     188.1460 -19.854040278
1688     184.3985 -41.601497735
1689     194.8915  15.891508477
1690     181.0003 -48.999653082
1691     187.8267 -48.173334007
1692     165.3035 -36.696495282
1693     179.6739 -34.326149606
1694     194.2907  13.290673352
1695     194.5576  -6.442436052
1696     189.3696 -19.630403395
1697     181.2048 141.204841361
1698     195.1526 152.152588169
1699     176.8202 -43.179790817
1700     170.2294  37.229427130
1701     182.4554  55.455361955
1702     170.7932 -44.206831993
1703     192.4759 -39.524055568
1704     192.9231 -51.076920177
1705     190.8296  36.829649018
1706     191.3450 -69.655034597
1707     195.5016  57.501562736
1708     180.3024 -49.697639117
1709     177.1317  20.131652378
1710     188.3761 -24.623930580
1711     181.1082  76.108176473
1712     194.3576   6.357550933
1713     189.3961 -28.603921045
1714     192.1882 -65.811814503
1715     190.4718 -72.528235629
1716     178.4205 -39.579453785
1717     178.2457  66.245747429
1718     177.9640  88.964007083
1719     186.6665 -53.333470587
1720     190.7226 -44.277394437
1721     187.8776 -47.122429185
1722     185.7714 -12.228622574
1723     192.8236 -55.176417745
1724     184.4856 -50.514370062
1725     179.6596 -48.340408128
1726     185.5664 -51.433579795
1727     187.7310 -53.269049061
1728     189.7183 -56.281665283
1729     171.9818 -47.018185207
1730     177.2287 135.228721260
1731     186.4872 -45.512783910
1732     189.9742 -53.025843319
1733     189.0324 -59.967554582
1734     184.8745 -52.125489465
1735     191.4395  75.439464725
1736     184.9058 -45.094175045
1737     186.3842 -54.615804725
1738     177.7223 -20.277711060
1739     188.4253 -59.574736656
1740     193.0388 -11.961163156
1741     153.9482  71.948154878
1742     184.8933  45.893253176
1743     184.2141 -51.785949857
1744     185.5562  96.556183409
1745     188.9590 -56.040987499
1746     186.5524 -51.447572853
1747     187.4377 -45.562252755
1748     185.8168 -44.183189644
1749     179.8798  23.879805794
1750     171.5675 -41.432469526
1751     180.3155 -37.684488118
1752     190.3547  -8.645337252
1753     168.1924 -40.807646338
1754     172.3325 -37.667472752
1755     185.5561 -39.443870759
1756     188.9146 -69.085359867
1757     184.0039 -27.996076000
1758     189.0093 -58.990666014
1759     182.2603 -30.739746011
1760     188.2977 -28.702255802
1761     177.3324 -47.667604231
1762     191.3854 -72.614591857
1763     191.7569 -31.243099653
1764     196.4354 166.435400148
1765     188.3071 -50.692920362
1766     174.7423 -17.257680213
1767     176.1146  15.114565114
1768     190.8680 -31.131997660
1769     172.3506  -6.649433865
1770     186.5072 143.507165707
1771     193.0101  66.010121399
1772     194.5893   0.589349104
1773     195.5427  46.542729896
1774     189.1955 -60.804512371
1775     189.4210  12.420985858
1776     190.2541 -37.745856239
1777     156.1103  50.110252101
1778     183.7187  97.718680127
1779     187.3468 -15.653157462
1780     193.0497   3.049695964
1781     187.1700  22.169994540
1782     192.5866 -31.413404476
1783     184.4228 -22.577214033
1784     191.6047 -63.395290394
1785     191.3315 -38.668485927
1786     189.5839 -58.416058565
1787     180.3492  64.349237441
1788     185.5028 124.502762758
1789     188.2949   3.294858801
1790     172.2856 142.285621463
1791     186.3276 -28.672411378
1792     173.9934 -40.006621577
1793     158.3403  28.340282279
1794     170.3045 123.304511535
1795     189.4437 -51.556304632
1796     185.3814 -53.618623771
1797     168.8985 -43.101543087
1798     184.6623 -33.337684657
1799     179.6893 -41.310734861
1800     195.3126  34.312586938
1801     163.5817  -9.418286586
1802     175.6051  -3.394871252
1803     196.0524 155.052367172
1804     194.9848  13.984807743
1805     165.1606 -34.839377225
1806     190.2279 -65.772070716
1807     192.5020 -61.498011635
1808     175.8489  82.848875533
1809     181.8576 -35.142378616
1810     181.7670  52.767015751
1811     180.8134 -50.186589742
1812     194.9382  36.938177471
1813     181.0381 179.038072544
1814     186.5697 -49.430272594
1815     176.2378 -45.762234737
1816     191.3805 -73.619549564
1817     193.9475 -22.052472489
1818     191.1903  -9.809673256
1819     191.9195  -9.080515754
1820     188.8665 -54.133531300
1821     194.3213  24.321319828
1822     188.3647 -55.635312790
1823     188.8960   7.896003738
1824     173.6305 -34.369487369
1825     188.5233 -25.476656791
1826     192.9686  25.968583382
1827     192.2141 122.214128595
1828     196.0364 156.036445796
1829     180.4469 -16.553072664
1830     189.8330  79.833002837
1831     187.3328 -12.667246883
1832     183.5315 -39.468510367
1833     194.2452   5.245189638
1834     178.3486  34.348631833
1835     186.7332  89.733209399
1836     191.3044 -61.695646682
1837     178.3966  11.396567926
1838     191.5846 -42.415395369
1839     190.8735 -46.126452377
1840     190.4273 -63.572654353
1841     187.4939  -6.506104106
1842     184.4673 144.467346255
1843     189.0753 126.075308616
1844     161.6518  91.651821571
1845     176.9439   8.943894755
1846     190.9292 -19.070760156
1847     191.7219 131.721868682
1848     165.0926  19.092607176
1849     188.0806 -48.919379500
1850     195.5092  52.509167990
1851     173.5706 -28.429448897
1852     190.3444 -59.655604226
1853     188.2892 -44.710819523
1854     193.1734  15.173358675
1855     186.5276 -53.472353799
1856     189.2434  34.243430269
1857     185.8431  51.843080708
1858     191.4903 161.490258807
1859     185.0569 -52.943056964
1860     186.4360  26.436026957
1861     190.1509  31.150906672
1862     164.7497 -46.250251785
1863     190.0152  -7.984815729
1864     170.4262 -48.573808936
1865     168.0258 148.025751851
1866     191.1887 -61.811254764
1867     187.6992   5.699179401
1868     175.9561 -28.043882761
1869     188.4874   7.487428896
1870     190.4762  -5.523825237
1871     171.5033  31.503334540
1872     187.5241 -48.475876219
1873     196.5761 176.576082518
1874     186.3517  13.351708853
1875     169.7970  78.796981771
1876     181.9745  -6.025506817
1877     192.2052 137.205170060
1878     191.1349 141.134885060
1879     180.6131 -45.386937529
1880     188.1940  -8.806007175
1881     185.6682 -42.331770714
1882     189.0171 -41.982903793
1883     186.3310   0.331042172
1884     185.7336 -53.266435074
1885     190.0797 -60.920339585
1886     188.4786 -31.521417082
1887     187.3884 -56.611605034
1888     184.5323 149.532279894
1889     173.0490   5.049045814
1890     173.3767 -14.623293391
1891     187.1888  19.188817122
1892     185.5250 -49.474953067
1893     176.1995 -35.800491289
1894     165.8628 -33.137248935
1895     178.7402  15.740208251
1896     167.5452 -14.454827246
1897     194.4567  10.456680484
1898     185.0906 147.090560561
1899     187.9768  -5.023168909
1900     185.4653 -53.534662224
1901     187.8839 -71.116078522
1902     190.3428 -52.657163413
1903     191.7131 -65.286853917
1904     190.2207 -53.779286986
1905     175.8349 -21.165093051
1906     196.5346 156.534556560
1907     180.7483 150.748252574
1908     191.4427 -66.557324132
1909     188.4523 -36.547651431
1910     192.4269 -61.573111015
1911     192.4044 129.404427790
1912     187.9612 -54.038825875
1913     195.4190  36.418991350
1914     190.4590 -66.540958547
1915     193.4645 169.464456425
1916     183.2637 -44.736347494
1917     173.7210 -20.279022382
1918     195.5053  65.505335846
1919     192.9113 -54.088717307
1920     186.8553 -40.144656653
1921     193.6807   3.680659730
1922     177.9432 -37.056801299
1923     188.0264  -0.973567716
1924     189.4107 -60.589281683
1925     184.5130 -43.487001390
1926     193.4404 -40.559566091
1927     180.1748 -41.825202501
1928     184.2237  -5.776259346
1929     195.8556  86.855640039
1930     186.7314  11.731358728
1931     189.2110 -46.788965704
1932     187.2444 -43.755559341
1933     189.1471 -53.852891543
1934     186.8295  89.829526375
1935     188.4964 -57.503550656
1936     192.1936  -6.806407218
1937     177.0672 -48.932764289
1938     191.4307 -66.569301389
1939     188.7615 -46.238507716
1940     187.1560  50.155973569
1941     188.1229 -29.877133729
1942     180.5083 150.508319930
1943     195.7379  68.737914992
1944     191.1010 -62.899028049
1945     191.8933 -69.106735442
1946     187.1913  29.191293718
1947     193.9352  79.935188946
1948     183.6319 -50.368147489
1949     178.3075  33.307531501
1950     195.5319  55.531902754
1951     186.5732 -13.426829860
1952     184.5592 -52.440796296
1953     185.0333  77.033343085
1954     186.7915 -56.208478103
1955     191.5473 -67.452726490
1956     179.3313 159.331289991
1957     188.4058 -33.594182488
1958     194.6771   9.677098360
1959     184.4714  12.471405800
1960     176.5047  20.504680754
1961     181.5199 -30.480101877
1962     192.9136 -50.086436566
1963     170.0684  29.068353404
1964     187.1284 -46.871586166
1965     189.9104 135.910388386
1966     188.1399 -57.860113589
1967     186.0544  38.054438307
1968     186.7210 107.720977108
1969     194.2013  50.201323731
1970     183.0086   9.008634974
1971     187.3663  47.366291802
1972     189.5394 -62.460595399
1973     194.6827  -0.317331399
1974     177.3635 -43.636456429
1975     183.6675 -52.332543404
1976     180.3150  10.314994825
1977     181.0872 168.087164175
1978     184.7301  20.730136489
1979     191.7517 -70.248271721
1980     191.2730 -19.726961368
1981     183.8611 -46.138885812
1982     185.3113 -44.688743293
1983     173.2477  12.247670401
1984     172.7557  -6.244265513
1985     181.2722 -46.727780105
1986     180.6297  50.629667642
1987     169.9117 -47.088302125
1988     188.5832 -58.416753468
1989     187.4235 -48.576481426
1990     193.6261  39.626132263
1991     176.3693 -49.630714977
1992     186.5437  37.543731797
1993     191.9205 -67.079540199
1994     180.6620 -51.337987468
1995     172.3313 -25.668747168
1996     192.9691 -52.030889802
1997     186.8771 -36.122851224
1998     187.8674   5.867417726
1999     195.3987  65.398729456
2000     184.5863 -36.413723073
2001     173.6163 -13.383713487
2002     180.3117  57.311718741
2003     189.5762 -58.423846191
2004     190.1805 -47.819470477
2005     181.8187 -52.181345067
2006     188.5197 -25.480336441
2007     193.4437  48.443715075
2008     181.8168 -51.183197797
2009     187.7762 -55.223824471
2010     188.9172 -60.082791242
2011     171.6022  60.602183979
2012     184.6887 -53.311326774
2013     172.2819 -48.718092202
2014     187.0133 -48.986677470
2015     187.6887  15.688695609
2016     188.8041 -59.195900946
2017     183.1886  23.188627743
2018     172.2239 -38.776109612
2019     167.3226 -39.677447952
2020     182.6957 -52.304256938
2021     169.1107  85.110681299
2022     188.6611 -55.338903396
2023     181.4550  22.455021134
2024     157.7291  -5.270910165
2025     196.3132 186.313189078
2026     193.3736 -36.626356950
2027     187.1147  35.114672094
2028     178.1639 -43.836057064
2029     172.8764 -13.123594633
2030     154.9411  72.941135530
2031     193.0428  39.042816277
2032     191.7538 -64.246193258
2033     186.8700  23.869996496
2034     194.8516  10.851606499
2035     185.8772 -54.122795859
2036     177.0380  45.038026596
2037     192.3905  59.390462502
2038     195.3863  72.386314513
2039     189.0178 -51.982191616
2040     192.9880 -49.012004534
2041     186.2098 -53.790240956
2042     189.0402  18.040193635
2043     168.6186 -34.381383801
2044     181.1831 -47.816925682
2045     194.1680 138.168029422
2046     171.8091 -30.190934804
2047     188.4341 -20.565947636
2048     192.8342 -27.165790692
2049     184.3893 -32.610711827
2050     189.0573 -28.942717593
2051     183.0878 -45.912205385
2052     178.2340 -36.765961768
2053     182.7742 -22.225771597
2054     179.8952 -40.104752180
2055     189.1240 -73.875989510
2056     189.8386  57.838626663
2057     189.7219 -60.278073074
2058     184.4452 -47.554811899
2059     185.9035 -32.096527390
2060     195.0809  46.080927534
2061     195.0365  19.036507800
2062     173.4243 -36.575688332
2063     195.8421 141.842061873
2064     185.4348 -20.565212748
2065     184.4197 -23.580264738
2066     192.2559 -29.744094744
2067     189.4964 -31.503557850
2068     187.2573  23.257287186
2069     191.7557  73.755668255
2070     186.4502 126.450208154
2071     182.0613 -47.938670923
2072     191.4944 131.494378794
2073     189.0444 -52.955583461
2074     169.1289  -4.871078462
2075     168.2246  12.224561440
2076     186.8272 -52.172752840
2077     186.9572  15.957179494
2078     172.3122 113.312242448
2079     175.3692 -48.630843412
2080     183.5920 175.591995875
2081     187.0589 -17.941095056
2082     189.0413 -65.958703931
2083     170.2962   1.296208723
2084     183.9794 -52.020642022
2085     193.9916  96.991556018
2086     189.0862 -51.913770890
2087     189.5500  80.549991663
2088     165.0884 -24.911554277
2089     176.4317  92.431734044
2090     186.5984 -56.401557240
2091     187.9869  -4.013124704
2092     174.0447 133.044727841
2093     191.4211  34.421140848
2094     172.8358 -48.164203442
2095     190.7280 -42.272021839
2096     195.2793  28.279344367
2097     188.1972 -44.802816679
2098     181.5954 -50.404646615
2099     194.9227 191.922718926
2100     188.2264 -16.773575444
2101     181.8342  39.834187431
2102     171.7160 -46.283986149
2103     188.1974 -37.802599629
2104     172.0505 -25.949476800
2105     177.5876 117.587632790
2106     178.9599 -39.040079759
2107     188.3882 -20.611791703
2108     163.5833  16.583319505
2109     190.6203  33.620283305
2110     187.8607 -54.139337382
2111     186.3679  42.367865238
2112     187.6716 -16.328387400
2113     190.4174 -56.582607948
2114     187.5927  -5.407318870
2115     153.1250  16.124951188
2116     191.0223 -63.977728459
2117     187.4678 -52.532195848
2118     174.4886 -43.511437508
2119     191.8634  75.863422760
2120     186.1170 -26.883045608
2121     176.9891 -50.010919245
2122     164.3640 -42.635998731
2123     181.4562  94.456177587
2124     191.3289 -72.671071382
2125     176.4115 132.411456204
2126     174.1003 -22.899691986
2127     177.0906 -49.909384714
2128     184.1739 -38.826089014
2129     179.5102  25.510163948
2130     181.2664 -27.733623236
2131     189.3325 -59.667513321
2132     174.8587 -48.141262130
2133     171.7636 -41.236431688
2134     191.6549 -71.345097891
2135     188.6239 -51.376136117
2136     183.6612   2.661157892
2137     192.5745 -44.425455944
2138     196.2342 151.234205152
2139     183.5630 -41.437019941
2140     191.3225 -72.677464160
2141     185.1763 167.176329739
2142     187.5760 -57.423992977
2143     179.5973  45.597259294
2144     162.4114 -32.588638379
2145     185.8508 145.850800193
2146     194.3398 -16.660235581
2147     181.7536   9.753638592
2148     186.8173  19.817339271
2149     191.7240 -63.275957668
2150     189.1196 -55.880352962
2151     174.7769 -38.223147606
2152     170.4546  25.454551404
2153     194.6277   1.627670872
2154     192.7564 -56.243643651
2155     185.5861 -22.413851570
2156     186.7940 -50.205969384
2157     191.9805 -69.019473669
2158     192.9864  53.986401284
2159     173.1259 -37.874137870
2160     186.7604   8.760416366
2161     192.9799  48.979897629
2162     188.6275 -47.372481617
2163     179.7097 -13.290278066
2164     179.0503 -14.949699301
2165     187.8741 -53.125912872
2166     185.6487 -54.351345919
2167     189.0051 -53.994872323
2168     185.0754  27.075404087
2169     182.0150  88.015034182
2170     193.3713 -16.628674978
2171     187.7393 -49.260682636
2172     186.6310 -55.368994494
2173     186.6237  62.623732138
2174     186.2030 -52.797049062
2175     187.0468  -1.953180776
2176     189.9626  54.962581228
2177     190.8507 -18.149278964
2178     188.5468 -42.453162596
2179     184.4135 -53.586496615
2180     183.1330  40.133033497
2181     184.1715 106.171512204
2182     185.0052  86.005248967
2183     190.2652 -61.734755165
2184     187.4252  10.425198658
2185     164.0515 -34.948498732
2186     177.8604 -32.139613415
2187     187.5263 -42.473727784
2188     193.8584 -29.141564566
2189     174.5740 -29.426047545
2190     185.4727 -39.527303262
2191     188.0015 -12.998511941
2192     191.1443  16.144320987
2193     190.0815 -61.918455836
2194     191.0707 -70.929319259
2195     187.2688  14.268834731
2196     164.7118 -12.288188344
2197     163.3938  75.393794660
2198     186.8775 -47.122488341
2199     179.2406 -19.759433584
2200     170.3735  11.373534846
2201     183.9998 -30.000184158
2202     194.2523 -11.747717786
2203     187.0689 -24.931096680
2204     191.5026 -72.497375647
2205     188.9810 -54.019006343
2206     185.2066  55.206621838
2207     185.8684  24.868428968
2208     185.1352 -29.864832204
2209     186.8346 -17.165401275
2210     184.0417 176.041707426
2211     195.3078  28.307776643
2212     186.6924   6.692359548
2213     155.8611 -21.138863160
2214     176.5695 -44.430545070
2215     176.9878  49.987810266
2216     187.4978 -32.502246665
2217     192.1400 -37.859997237
2218     170.9124 -32.087564159
2219     187.1377   2.137676892
2220     182.4808 -51.519188753
2221     190.2703 -61.729667851
2222     190.1403 -53.859708727
2223     185.8351 -47.164948048
2224     177.9152 -27.084811680
2225     187.9716 -49.028443738
2226     188.8924 -43.107640067
2227     172.1485 -13.851522391
2228     176.8836 -44.116367427
2229     186.6213 -39.378736805
2230     190.1338 -62.866217905
2231     183.2125   1.212533757
2232     187.6620  14.662028196
2233     192.6141 -51.385892363
2234     196.4195 176.419508343
2235     191.4737  80.473738388
2236     189.0604  -1.939642011
2237     179.4217 -13.578288285
2238     187.8355  -3.164475084
2239     183.0669 135.066927732
2240     185.4011  23.401133919
2241     157.1731  48.173147708
2242     189.8324 -49.167593025
2243     195.8901  72.890110943
2244     189.0708 -61.929231931
2245     181.2633  42.263283974
2246     189.3426 -59.657380204
2247     190.1485 -76.851542023
2248     194.6124   2.612385407
2249     190.7099 -75.290097352
2250     162.4380  70.437993007
2251     187.0097  20.009666599
2252     191.2119  13.211936676
2253     186.0924  66.092431167
2254     186.6201  93.620103104
2255     175.7744  39.774438987
2256     182.7221 -18.277918918
2257     180.6395 -49.360512343
2258     190.2932 -28.706798131
2259     182.9704 -43.029593304
2260     192.9409 -51.059144588
2261     156.4908 -47.509225487
2262     186.8462 -11.153774840
2263     194.9114 168.911426592
2264     195.1727  29.172733238
2265     192.7976 -51.202447079
2266     170.4933 -20.506743265
2267     165.8703 -41.129732123
2268     184.2123 -53.787746782
2269     185.0487 -45.951275093
2270     180.0096 -38.990371301
2271     193.3261 -42.673879037
2272     189.6583 -78.341685982
2273     156.7071 -35.292911910
2274     183.7596 -42.240436771
2275     180.4933 -48.506693204
2276     195.2660  36.266001598
2277     187.0168  20.016820607
2278     179.4607  40.460735558
2279     186.7591  -4.240929616
2280     191.8940 -32.106031226
2281     190.9952 -72.004820242
2282     176.3064  -2.693591786
2283     177.5093 -44.490735154
2284     190.2116 -67.788379054
2285     190.8009  23.800885676
2286     169.7502  40.750225719
2287     177.0776 130.077603993
2288     189.3859 -57.614137970
2289     185.9717  -3.028272739
2290     187.3148  -9.685178393
2291     188.8400 -27.159976351
2292     186.1625 -51.837466676
2293     190.3823 -75.617729723
2294     194.8261  16.826083977
2295     188.7259 -33.274055747
2296     187.7410  37.740999016
2297     187.5588  22.558812303
2298     188.2349  25.234853348
2299     189.5709 -50.429079894
2300     180.0419 -48.958052211
2301     195.9497  93.949676287
2302     192.5790 171.579041050
2303     184.7027 -40.297285034
2304     186.9588 -24.041163809
2305     186.2407 -16.759312827
2306     195.6672  89.667222938
2307     189.6431 -55.356867818
2308     193.8672  -9.132776637
2309     179.2822 -13.717807820
2310     185.6038 150.603836674
2311     187.1895  26.189470994
2312     189.5048 -58.495151993
2313     192.4557 -62.544330058
2314     190.1546 -59.845368281
2315     176.3568 -47.643208053
2316     187.1195 -16.880451408
2317     174.0949 -26.905140511
2318     187.9757 -39.024331272
2319     187.3961   4.396126380
2320     182.0136 -51.986443322
2321     185.1296 -26.870352434
2322     188.6670 -59.333040069
2323     183.4187 -37.581316149
2324     187.0037 -16.996329057
2325     188.8330 -48.166961371
2326     185.8373  62.837287825
2327     171.6375 -40.362533594
2328     183.4356 -53.564388377
2329     185.5609 -36.439060996
2330     183.7595 -53.240487091
2331     187.3155  34.315469395
2332     182.5866 -36.413429077
2333     179.9285 -34.071497548
2334     172.4350 -41.565020551
2335     188.1617 -30.838308553
2336     183.6356 -23.364448456
2337     181.5660  61.565993095
2338     178.0891   7.089107843
2339     193.2814 137.281362018
2340     190.7821 -53.217884386
2341     186.7387  -1.261292979
2342     171.1868  -5.813217865
2343     180.7660 -23.233965544
2344     193.6057 -38.394318576
2345     187.1264 -55.873605101
2346     190.7126 -26.287436986
2347     190.4804 -63.519617168
2348     181.8397  25.839654287
2349     184.9048 -50.095156886
2350     192.6059 -19.394116438
2351     189.7478 -60.252209134
2352     191.9914  71.991424964
2353     194.0627 163.062698242
2354     185.4017  58.401682456
2355     186.8796 -46.120387364
2356     178.7650  -4.235021546
2357     194.4083  -7.591682551
2358     172.8442 152.844191980
2359     180.5036 -50.496418945
2360     168.4477  22.447715732
2361     188.2968 -51.703178247
2362     192.9782  57.978211573
2363     170.4576   0.457553219
2364     184.0565 -52.943485009
2365     163.0705  24.070493679
2366     192.5742 -59.425834258
2367     184.5933 -32.406686386
2368     176.4619 110.461910594
2369     180.4157 -44.584296426
2370     195.5231 105.523053933
2371     192.4305 -56.569462127
2372     190.7325   0.732531693
2373     185.6926 -18.307351227
2374     187.8299 -48.170061493
2375     191.6240   2.623993888
2376     187.2820  34.281984703
2377     179.2133   1.213274970
2378     190.0224 -56.977622777
2379     186.2667 -55.733289635
2380     172.7438  22.743789988
2381     189.4346   5.434582952
2382     176.7431 -37.256889544
2383     190.7814 -66.218607661
2384     187.8596  39.859643532
2385     187.4107 -55.589329633
2386     187.2491  30.249137103
2387     195.7507 146.750724915
2388     188.5911 -32.408871995
2389     184.1681 -49.831918072
2390     189.5162 -60.483819580
2391     178.7361  -8.263912714
2392     173.0975 123.097477881
2393     173.1845  23.184518976
2394     190.5048 -38.495196371
2395     182.3787  -4.621268767
2396     183.9104  40.910433146
2397     173.0319  -8.968145559
2398     185.3546 -52.645441727
2399     190.3719  -8.628053278
2400     165.8838 -12.116156335
2401     194.0831 -17.916887214
2402     172.8234  10.823443949
2403     187.6843  10.684254360
2404     178.6364   9.636425719
2405     184.5822  -7.417807410
2406     186.0115 -17.988471408
2407     189.8246 181.824570363
2408     187.1318  38.131822262
2409     194.2841 -15.715932603
2410     191.7570 -70.242986552
2411     155.9194 -45.080591161
2412     170.0775  13.077465286
2413     165.4441 -28.555856208
2414     178.9089 159.908865829
2415     191.6628 -69.337163759
2416     184.0245 -42.975455431
2417     188.3171 -40.682903909
2418     189.7488 -56.251181610
2419     189.0073 -41.992653220
2420     185.6993 -17.300743610
2421     174.6675 -46.332456731
2422     191.2043 -71.795710310
2423     189.8013  87.801294401
2424     190.5248 -10.475208007
2425     180.3747  23.374673475
2426     190.6305  -2.369450370
2427     186.1700 -44.830036369
2428     189.0658 -58.934184253
2429     181.5970  85.597000351
2430     195.3921  49.392053070
2431     187.6650  -6.334983847
2432     185.0586 -30.941385805
2433     188.9545 -19.045531395
2434     187.5671 -22.432879460
2435     176.8610  74.861039227
2436     187.6556 -35.344350442
2437     180.8350 -46.164996069
2438     181.2821  61.282107300
2439     185.9612 -47.038756923
2440     189.7933  47.793318329
2441     167.5556 -48.444448025
2442     181.7436  82.743643297
2443     186.0089 172.008886590
2444     196.2497 159.249695890
2445     186.8680 -37.131958359
2446     196.4821 146.482070866
2447     187.0811 -30.918897719
2448     192.2553 -65.744656132
2449     187.6662   8.666231297
2450     178.2577 -44.742283172
2451     189.7091 -58.290939665
2452     187.2727  34.272725719
2453     180.2833 -41.716691714
2454     164.5337  21.533737752
2455     184.8085 -12.191460478
2456     180.8356 -13.164355883
2457     189.8130 -61.186968229
2458     177.1541 -48.845883577
2459     193.9136 -28.086370275
2460     192.1064   2.106432099
2461     189.1847 139.184712949
2462     185.9709  63.970877210
2463     182.5656  16.565611599
2464     173.8692  19.869239002
2465     189.9002 -68.099778291
2466     195.5904  48.590436829
2467     154.9760 -45.024046381
2468     193.7024 123.702388164
2469     185.0421 -42.957894224
2470     188.0492 -42.950813103
2471     191.1159 -71.884127108
2472     181.6871 -13.312921208
2473     172.3181  29.318121929
2474     190.3019 -48.698096492
2475     163.1877  -7.812297386
2476     178.0349 134.034927240
2477     188.5942 -75.405785581
2478     184.3377 -50.662264518
2479     192.8628 -53.137192788
2480     192.2491 -45.750948361
2481     193.3473  54.347294036
2482     183.0573  63.057264088
2483     187.4639 -42.536088395
2484     188.0275  -1.972492932
2485     187.2059  -7.794103629
2486     173.5120 -28.487959690
2487     193.6416 -37.358440289
2488     192.1810 -16.818988772
2489     191.0883 -49.911742970
2490     193.1494 -45.850557465
2491     187.2611  23.261085944
2492     178.5978  -1.402236966
2493     187.5238 -15.476185509
2494     189.7427 -66.257312231
2495     186.2690   5.268983013
2496     185.3512 -22.648818218
2497     167.0912 -45.908770963
# plot predictions versus residuals for model 2
ggplot(plotresiduals, aes(x=linear_model, y=residuals)) + 
  geom_point() + 
  geom_abline(slope = 0, intercept = 0, color = "pink", size = 1.5) + #add straight line at 0
  labs(x= "Predicted Values", y= "Residuals")
Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
ℹ Please use `linewidth` instead.

The residuals clearly show several parabolic lines that are not captured with the linear model. because of this, we will try a slightly more complex model, a polynomial model.

Polynomial Model

We can observe that, though nearly linear, the path that the time under totality follows also has curvature. This is why it may be better captured using a polynomial model.

# Create fit for first polynomial model
set.seed(123)  # set seed for reproducibility

poly_recipe <- 
  recipe(totality ~ lat + lon, data = train_data) %>% 
  step_poly(lat, lon, degree = 2)
# use poly() to specify a polynomial model; where the degree is the number of degrees the model is allowed to go to

poly_model <- 
  linear_reg() %>% 
  set_engine("lm") %>% # specify the model, which is also in regression mode
  set_mode("regression")

poly_workflow <- # add a workflow for the polynomial model and recipe
  workflow() %>% 
  add_model(poly_model) %>% 
  add_recipe(poly_recipe) 

poly_fit <- 
  poly_workflow %>% 
  fit(data = train_data) # fit the polynomial model to the train data using the workflow
tidy(poly_fit)
# A tibble: 5 × 5
  term        estimate std.error statistic      p.value
  <chr>          <dbl>     <dbl>     <dbl>        <dbl>
1 (Intercept)     185.      1.24    149.   0           
2 lat_poly_1     1715.    408.        4.20 0.0000276   
3 lat_poly_2      881.    155.        5.69 0.0000000138
4 lon_poly_1    -2175.    409.       -5.32 0.000000115 
5 lon_poly_2     -591.    153.       -3.87 0.000114    

The estimates for the lat and lon for the polynomial model are much larger than that of the estimates produced from the linear model. However, the standard error for these estimates is relatively high. Let’s look at more specific metrics to determine how to tune the degree parameter.

# Use fit model to make predictions
poly_aug <- augment(poly_fit, train_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
eval_metrics(data = poly_aug,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae       49.1   
2 rmse      61.8   
3 rsq        0.0296

The MAE and RMSE are 49 and 62, respectively, which are slightly less than that for the linear regression model. This is an improvement, but not by much. Additionally, the R squared value is 3.5%, which again, is a slight improvement from the previous model. To tune the degree parameter, we may choose any of these metrics, because they all need some improvement. We will use cross validation to tune the polynomial model.

folds_data <- vfold_cv(train_data, v = 5, repeats = 5)
# Set the number of cores to use
num_cores <- detectCores() - 1
# Initialize parallel backend
doParallel::registerDoParallel(cores = num_cores) # add parallel processing to speed up the computations

set.seed(123) # set seed for reproducibility
poly_grid <- grid_regular(degree(range = c(1,20)))
  
poly_recipe2 <- 
  recipe(totality ~ lat + lon, data = train_data) %>% 
  step_poly(lat, lon, degree = tune())
# use poly() to specify a polynomial model; where the degree is the number of degrees the model is allowed to go to

poly_spec <- 
  linear_reg() %>% 
  set_engine("lm") %>% # specify the model, which is also in regression mode
  set_mode("regression")

poly_tune_wf <- workflow() %>%
  add_model(poly_spec) %>%  # add the tuning spec and recipe to the workflow
  add_recipe(poly_recipe2)

poly_tune_cv <- tune_grid(
  object = poly_tune_wf,  # Specify object as the workflow
  resamples = folds_data, # use data for tuning from the CV folds
  grid = expand.grid(degree = poly_grid),  #  add lasso tuning penalty grid
  control = control_grid(save_pred = TRUE)) # save the predictions

poly_tune_cv %>% 
  autoplot()

# Stop parallel processing
stopImplicitCluster()

When I tune the degree using a possibility of 20 degrees the RMSE is minimized around 11 degrees while the R squared is maximized around 20 degrees. To avoid overfitting, we will choose the cv resampled model that minimizes the RMSE.

# Select the best degree parameter based on RMSE
best_degree <- select_best(poly_tune_cv, metric = "rmse")

# View the best degree parameter
best_degree
# A tibble: 1 × 2
  degree .config             
   <dbl> <chr>               
1     20 Preprocessor3_Model1
## the best degree is 10.5 and can be used in the tuned recipe

# Re fit the model
poly_tune_recipe <- 
  recipe(totality ~ lat + lon, data = train_data) %>% 
  step_poly(lat, lon, degree = 10.5)

poly_tune_wf2 <- workflow() %>%
  add_model(poly_model) %>%
  add_recipe(poly_tune_recipe)

poly_tune_fit <- poly_tune_wf2%>%
  fit(data = train_data) # use the workflow to fit the rf model to the data
tidy(poly_tune_fit)
# A tibble: 21 × 5
   term        estimate std.error statistic  p.value
   <chr>          <dbl>     <dbl>     <dbl>    <dbl>
 1 (Intercept)    185.       1.19   156.    0       
 2 lat_poly_1    2203.     428.       5.14  2.93e- 7
 3 lat_poly_2    3308.     274.      12.1   1.13e-32
 4 lat_poly_3    1901.     188.      10.1   1.40e-23
 5 lat_poly_4    -262.     149.      -1.76  7.83e- 2
 6 lat_poly_5    -395.     141.      -2.80  5.19e- 3
 7 lat_poly_6    -866.     112.      -7.72  1.69e-14
 8 lat_poly_7    -219.      91.9     -2.38  1.74e- 2
 9 lat_poly_8     757.      88.4      8.56  1.94e-17
10 lat_poly_9      29.0     79.1      0.367 7.14e- 1
# ℹ 11 more rows
# Find the metrics

We can see that as the degree for the lat and lon variables increase, the estimate decreases. The SE also decreases, though it is proportionally higher compared to the estimate. Let’s look at the metrics of this fit tuned model.

# Use fit model to make predictions
poly_aug2 <- augment(poly_tune_fit, train_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
eval_metrics(data = poly_aug2,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae        46.4  
2 rmse       59.0  
3 rsq         0.117

This tuning has led to a great increase in R squared, from around 3% to around 12%. That is still not the best, but it is much better than before. The RMSE and MAE have also both significantly decreased to 59 and 47 respectively. This is an improvement, but I am sure that there must be an even better model. Before moving to the next model, we will also look at the residuals to see if this model has been overfit or if there are still trends that it does not capture.

plotresiduals2 <- data.frame(
  polynomial_model = c(poly_aug2$.pred), 
  residuals = c(poly_aug2$.pred - poly_aug2$totality)) #calculate residuals by predicted - observed
plotresiduals2
     polynomial_model    residuals
1           189.94159   1.94158630
2           188.53914  62.53913849
3           176.02804 -27.97195980
4           199.60770  46.60770079
5           186.41724  12.41724234
6           195.03717  18.03717284
7           178.86153 -62.13846976
8           178.77189 -63.22811114
9           197.39235 -33.60765193
10          178.09397 -27.90602936
11          205.22988  53.22988427
12          134.47704  -0.52295942
13          190.49255 -31.50745228
14          174.21851 -35.78149054
15          190.41215  63.41214834
16          184.64595 -19.35405490
17          187.89469 -20.10530564
18          177.15068 -40.84932120
19          204.13475 -44.86525058
20          211.93670  24.93670143
21          137.07568  -4.92431561
22          195.57255 -60.42745220
23          178.39349 -22.60650961
24          185.59766 -12.40234082
25          186.38637 -51.61363396
26          186.95057 -64.04943167
27          162.70417 142.70416811
28          147.22858   8.22858041
29          190.52585 -31.47414706
30          190.56870  13.56870356
31          158.88822 -85.11178368
32          175.82756 -29.17244237
33          193.58656 -39.41344357
34          198.13789 -29.86211263
35          214.52407  -3.47593179
36          184.38416 -38.61584465
37          177.01144 -45.98855682
38          144.79172 -59.20828485
39          200.54157 -26.45843356
40          179.30481  62.30481200
41          182.74034 -41.25965967
42          171.79511 -29.20488618
43          193.29121 -60.70878777
44          201.06039  91.06038521
45          189.55981 -42.44018699
46          174.94753 -10.05246667
47          186.33714  38.33714479
48          190.11900 -58.88100255
49          185.46297  18.46296828
50          167.16942 -16.83057528
51          120.02215  43.02215218
52          180.27869 -31.72131248
53          170.39487 -31.60512620
54          186.40557 -16.59442680
55          184.09197 -50.90802610
56          170.80628 -58.19372373
57          220.01554 -31.98445610
58          177.04738 -47.95261793
59          196.34493 -32.65506858
60          183.37767 -62.62232986
61          199.07754 -22.92245587
62          156.68269  -3.31730909
63          191.83112  30.83111598
64          137.34571  -0.65429148
65          171.73878  -8.26122266
66          189.33981  13.33981009
67          227.65753  14.65752723
68          200.45990 190.45989557
69          187.57893  42.57893228
70          205.51857  67.51857159
71          180.41988 -14.58012299
72          215.82933  64.82933093
73          176.33322  -1.66677900
74          201.28797 -23.71202932
75          188.78979 -45.21020657
76          154.87745 144.87745393
77          183.97763 -31.02236802
78          172.06307  12.06306750
79          186.13024 -61.86976189
80          187.24807 -47.75193383
81          123.37129  30.37129491
82          194.95257 -26.04743263
83          187.19180  -5.80819876
84          176.85853 -59.14147063
85          183.27325 -41.72674684
86          150.21806  -5.78194430
87          137.85696 117.85695809
88          235.83407 205.83407111
89          187.44355  42.44354648
90          212.39913 -24.60086719
91          188.28357 -54.71643225
92          180.96760 -52.03240175
93          165.51689 -27.48311034
94          184.02183  40.02183045
95          179.65581 -37.34419400
96          180.94284 -59.05716233
97          184.30707 -49.69293044
98          141.81433 127.81432518
99          213.78137  33.78136925
100         259.09320  56.09319889
101         188.15557 178.15557101
102         189.33559  23.33558892
103         176.36485 -34.63514874
104         182.65130 -28.34870142
105         179.22789 -37.77210715
106         187.24936 -45.75063568
107         179.59971 169.59971087
108         196.47180 -23.52819882
109         172.88415  73.88415107
110         180.94854 -50.05146208
111         148.67721 -19.32278593
112         194.65438 -58.34562079
113         189.70716  45.70715751
114         209.34991  17.34991189
115         173.64831 -10.35168601
116         222.91909 -14.08091152
117         180.48945 -41.51054740
118         184.08512 -16.91487747
119         201.35277 -19.64722843
120         175.08540  -0.91459652
121         197.44255 -52.55745325
122         181.51965 -35.48035174
123         195.39121 -52.60878519
124         214.27812 -50.72188054
125         166.51027 -15.48972639
126         225.74637  -0.25363147
127         193.98575 -30.01424923
128         183.43376 -19.56623993
129         171.86625  19.86624734
130         195.89116 -39.10884053
131         178.95880 -64.04120247
132         193.56837 -37.43163251
133         191.89314   4.89313774
134         176.89818 -49.10182225
135         179.44799 -62.55201278
136         178.17493   3.17492506
137         178.29076 -64.70924194
138         194.70945 -55.29054812
139         174.65985 -36.34015400
140         166.39806  -4.60193690
141         221.74263 -17.25736732
142         216.26017 -19.73982864
143         180.75601   9.75601359
144         184.40324  60.40323888
145         167.27296  82.27296366
146         219.69126 -25.30873907
147         174.24465 -26.75535248
148         174.63233 -25.36767031
149         193.88926 129.88926347
150         203.09667 -27.90333073
151         179.53697 -26.46303056
152         170.22124 -15.77876040
153         191.69689 -25.30311195
154         166.66618 156.66618257
155         198.47362 -47.52637560
156         173.52735 -24.47265186
157         180.45865 110.45864657
158         185.85039 146.85038510
159         186.46582 -28.53418484
160         151.09075 -20.90924509
161         136.25550  22.25550129
162         190.31374 -44.68625793
163         178.17734 -34.82265671
164         160.23536 -24.76464203
165         188.80340  48.80339768
166         189.53793 -71.46206560
167         179.91735  -5.08265270
168         192.77578 -33.22421987
169         179.45541 -64.54458750
170         182.25881 -76.74118772
171         150.27341 -20.72658800
172         188.09350 -40.90650281
173         176.05601 -18.94399253
174         233.51396  44.51395860
175         172.17515 -28.82484693
176         206.10150  -3.89850155
177         181.39279 -53.60720903
178         188.62697 -68.37302583
179         178.98152 -37.01847973
180         189.90738  15.90737670
181         184.68131 -70.31868574
182         184.67053 158.67053407
183         203.72663 -15.27336857
184         224.45696  -4.54303542
185         256.86904  51.86904396
186         174.14902 -29.85098331
187         163.62361 -30.37639003
188         179.01563 -64.98437331
189         179.55598  84.55597504
190         212.66201 -46.33799446
191         213.50813 -49.49187223
192         177.54690  64.54690119
193         192.31306 -57.68694351
194         207.04230 191.04230253
195         239.11804 183.11803757
196         186.30182 -49.69818109
197         187.77934 -30.22065538
198         174.84125 -30.15875170
199         179.43745 -27.56254717
200         173.22624 -36.77376393
201         181.32935  -3.67065271
202         154.96368  23.96368060
203         178.36038 -64.63961798
204         213.68455 -45.31545448
205         176.91312  21.91311862
206         173.37562 -28.62437795
207         161.32664  11.32663621
208         177.82487  20.82487444
209         197.58005 -64.41994538
210         176.95018 -36.04982053
211         184.31086 -37.68914168
212         171.14045  66.14044540
213         174.22315 -15.77685206
214         189.15265 -16.84734614
215         192.03716 -39.96284369
216         186.94547  24.94546750
217         157.31730   7.31730063
218         224.24812  25.24812495
219         156.57190 -22.42810038
220         187.90356  35.90356204
221         148.88282  -8.11717552
222         196.84871  66.84871343
223         190.64207 -52.35792546
224         121.74079  35.74078850
225         185.01743 -37.98256778
226         172.94269 -24.05730979
227         241.24772 223.24771902
228         201.36615  30.36614699
229         171.20624   1.20624203
230         150.14694  48.14694280
231         138.89791  -3.10209321
232         190.24906  80.24906013
233         191.95653  90.95653011
234         188.38125 -55.61875326
235         164.37616 124.37616349
236         182.66243 -61.33757338
237         162.57854 -15.42146289
238         187.27069   8.27068778
239         168.33423 -41.66577234
240         176.02917 102.02917029
241         183.64538 -48.35462451
242         174.39046 -29.60953805
243         200.28466 -33.71534226
244         164.44143 -29.55857488
245         181.86828 -58.13172116
246         214.48493 -30.51507449
247         177.63723 -21.36277146
248         170.54770  70.54769876
249         159.48219  45.48218870
250         181.99676 109.99676160
251         180.39484 -64.60515856
252         204.43821  25.43821370
253         181.98078 -64.01922353
254         157.54559  38.54558576
255         175.46899  -8.53101312
256         125.67442  80.67441640
257         210.15017  -8.84983388
258         167.33229 115.33228995
259         174.44629  66.44628973
260         167.30239  92.30239117
261         176.68497 -32.31502963
262         187.87518 -74.12482238
263         186.80884 -74.19115915
264         191.69109 -15.30891241
265         153.51291  93.51291037
266         169.93202 144.93201737
267         201.98543 -25.01456798
268         233.04481  11.04480756
269         180.53969 -19.46031133
270         187.33414 -35.66586464
271         214.85067 -44.14933419
272         183.55273 -61.44727444
273         141.40994   1.40993824
274         153.77244 -19.22756402
275         184.33005 -42.66995491
276         191.15669 -57.84330552
277         160.56028 -17.43972176
278         178.64212 -30.35788083
279         204.84342 -55.15657783
280         189.05356 -22.94644018
281         184.54812 -54.45187597
282         198.48428 -13.51572427
283         192.07385 -62.92615105
284         196.76707 -38.23293326
285         212.95756 -50.04243735
286         236.75420  16.75420140
287         197.71039  36.71038516
288         186.71696 -58.28304150
289         178.06866 -45.93133819
290         131.04805  83.04804791
291         196.16974 -36.83026111
292         187.35072 -32.64928326
293         168.85983 -28.14016977
294         199.33564 -22.66436406
295         153.46182 -17.53818108
296         179.41578 -35.58422311
297         178.55610 -35.44389951
298         171.63377 -18.36622918
299         163.69153 141.69152815
300         157.69749 -22.30251250
301         165.26307  28.26307118
302         190.10089 110.10089290
303         181.04523 -63.95477045
304         184.35744 -40.64255811
305         192.39488 -59.60512464
306         194.93533 -23.06466797
307         194.59364 -57.40635731
308         173.67642 -17.32357685
309         233.50199  66.50199460
310         193.56294 -37.43705587
311         170.23693 -19.76306944
312         238.69868  80.69867584
313         179.50911 -46.49088517
314         182.88839 -59.11160616
315         180.39190  -4.60809718
316         166.49963 -28.50037009
317         171.57025  21.57024656
318         194.12355 -67.87645458
319         181.24063 -78.75936732
320         186.16063 -70.83937261
321         162.36802 -27.63197750
322         183.30558 -59.69442109
323         181.01441 -36.98558746
324         191.58778  17.58778449
325         163.61120 -24.38880127
326         188.20605 -21.79394761
327         196.24711 -18.75288589
328         179.52020 -61.47979924
329         161.84916 -27.15083732
330         180.89968  -9.10031540
331         130.08594  92.08593613
332         224.55043  -3.44956744
333         177.97740  25.97740470
334         191.59123 -64.40877448
335         205.69187 -51.30812592
336         181.03672 -56.96327710
337         223.69459  84.69459382
338         183.22036 -63.77964034
339         173.62410 132.62409879
340         191.42399  68.42399102
341         193.82904 123.82904379
342         177.55913  58.55913446
343         185.12110  49.12109646
344         173.64033  64.64033303
345         185.16768 -61.83231820
346         172.58523 -12.41477172
347         200.45831 156.45831110
348         133.25195  57.25194770
349         207.93122 -56.06878133
350         173.50265 118.50264828
351         180.28270 151.28269602
352         191.89448 -35.10552166
353         177.50392 -38.49608363
354         187.58566  29.58565540
355         183.56720 111.56719639
356         182.27264  44.27263685
357         151.91430 -21.08569840
358         197.69824  29.69823807
359         194.65794 -56.34206128
360         230.55978   7.55978480
361         146.19765 111.19765240
362         190.57426 126.57426082
363         191.59222 -38.40778421
364         214.13041 140.13040647
365         186.52577 -35.47423175
366         181.24223 -47.75776647
367         183.75345 -60.24655458
368         171.01042  91.01041810
369         189.93372 -33.06628045
370         229.25045 163.25045099
371         203.43293  -3.56706790
372         194.75242 -15.24758306
373         186.48417 -48.51583189
374         190.88178  -2.11822472
375         195.40799 -39.59201088
376         220.41553  27.41552659
377         175.50610 -78.49390273
378         253.42747  95.42747412
379         190.43450 -38.56550120
380         152.93488 -18.06511610
381         153.44218  58.44217899
382         194.10796 -30.89204428
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1465        177.40205 -59.59795493
1466        170.08473 -28.91526778
1467        162.95528 -26.04472424
1468        150.76494 -19.23506484
1469        182.76040 -48.23960493
1470        160.00265  -6.99735089
1471        173.37070   2.37070220
1472        183.70028  21.70027968
1473        170.36034 100.36033786
1474        158.54893 -22.45106725
1475        184.42426 -70.57574086
1476        173.15227  54.15226706
1477        184.72549 -37.27450834
1478        215.94403 -10.05596736
1479        171.64442 -24.35558424
1480        181.52641 -51.47358901
1481        191.30185 161.30184508
1482        178.77407 -48.22592750
1483        221.85022  84.85022453
1484        176.41570 -61.58430048
1485        187.34580 -56.65419624
1486        154.35878 103.35878121
1487        205.66942 -38.33058468
1488        194.36625 184.36624893
1489        191.85778 -39.14222165
1490        178.05805 -50.94195186
1491        193.65289 -10.34711235
1492        160.90108 -26.09891576
1493        168.31104 -26.68896471
1494        184.46593 -73.53407289
1495        173.27767 -27.72233015
1496        172.72801  16.72801022
1497        219.43799 113.43799407
1498        183.21027 -43.78973194
1499        185.46761  -1.53238740
1500        214.17436 -49.82564401
1501        192.80326 -48.19673686
1502        191.46320  24.46320203
1503        181.29352 -33.70648057
1504        177.56805 -61.43194938
1505        195.30041 -56.69958730
1506        191.55249 -24.44751011
1507        180.40002  68.40002234
1508        203.56239  48.56238843
1509        182.27964 101.27964334
1510        193.41520 103.41519903
1511        179.22666 -34.77334176
1512        183.40683  74.40683170
1513        189.18362 -47.81637551
1514        176.04763 -19.95237017
1515        180.59161 -39.40838955
1516        134.69357  40.69356748
1517        191.54575  25.54575491
1518        181.40078 -62.59922025
1519        208.38827   9.38826744
1520        181.59286  76.59285801
1521        180.07451 -58.92548678
1522        193.10577 -28.89422834
1523        190.75895 -17.24104564
1524        218.66755 -27.33244978
1525        191.37373  53.37372914
1526        179.41622  27.41621775
1527        199.55773 -35.44226930
1528        189.05332 -50.94668228
1529        190.52757 -51.47243140
1530        152.34208   9.34207516
1531        184.60136 -71.39863655
1532        185.64763 -61.35237095
1533        180.77606 -75.22394450
1534        154.41996 -21.58003597
1535        194.71919 -59.28080778
1536        186.33145 -55.66855191
1537        182.97075  -0.02924821
1538        186.82117 -30.17882662
1539        188.24256 -24.75743959
1540        194.12691 -53.87309091
1541        202.40316 -52.59684012
1542        128.67953   9.67952853
1543        205.09553 100.09552746
1544        191.26871  76.26871198
1545        159.12654  29.12653880
1546        190.74359 -52.25641101
1547        201.59947   3.59946714
1548        165.37009  -2.62991126
1549        182.05064 -24.94936104
1550        203.63246 -16.36754432
1551        175.36503 -43.63496866
1552        179.36512  58.36512027
1553        185.91842  14.91842364
1554        180.70643 -61.29357357
1555        222.00905  -3.99095065
1556        191.36957  27.36956887
1557        193.16328 -52.83671842
1558        176.64206 -50.35794230
1559        180.16627 -35.83373092
1560        215.57137 -45.42862707
1561        190.53230 -28.46769869
1562        117.97609  64.97609262
1563        215.15599 -43.84400577
1564        166.77533 -28.22466825
1565        171.65148 -48.34851957
1566        193.81567 -26.18432688
1567        143.06316 -11.93684076
1568        152.36874   3.36873936
1569        189.54882  12.54881850
1570        114.44069  94.44068536
1571        156.96175  37.96174619
1572        178.91271  16.91271357
1573        132.42507   2.42506888
1574        193.44240 -32.55759717
1575        156.95143 -15.04856938
1576        164.58019 -35.41981130
1577        194.60599  69.60598508
1578        121.85557  36.85557106
1579        189.56594 -26.43405985
1580        216.29284 -45.70715827
1581        193.30986 -59.69014172
1582        170.26969 -28.73030780
1583        172.21102 136.21101964
1584        214.73657 -48.26342970
1585        184.94421 -30.05578962
1586        192.25845 -40.74155350
1587        192.52553 -14.47447251
1588        128.09709  12.09708759
1589        214.04049  -0.95951411
1590        173.91714 114.91713864
1591        186.19893 -13.80106782
1592        170.42203 -87.57796826
1593        158.71759 -24.28240859
1594        194.89063 -49.10936920
1595        193.95693  32.95692887
1596        174.48466 -41.51533930
1597        200.24006 -30.75994054
1598        194.09935 -50.90065116
1599        155.18079 -22.81921386
1600        182.82955 -61.17045308
1601        211.86174 -45.13826093
1602        154.38195  84.38195346
1603        112.91947  92.91947352
1604        177.24203 -29.75797262
1605        181.41058 -55.58942113
1606        233.08795  82.08794672
1607        168.62712 106.62712357
1608        188.83407 -30.16592893
1609        197.25406  49.25406045
1610        181.03114 156.03114324
1611        168.81743 -28.18256507
1612        122.54445  35.54444896
1613        210.80604  -8.19396446
1614        230.11423  22.11423321
1615        143.69399  10.69399001
1616        189.70096 -40.29903580
1617        177.31351 -51.68649130
1618        184.09391 -33.90609099
1619        183.05662 -59.94338005
1620        227.41501  19.41501059
1621        175.23325 -24.76674912
1622        171.01599  76.01598865
1623        178.63772 -62.36228015
1624        192.04151 -56.95849133
1625        192.79552  35.79552262
1626        234.47481  28.47481305
1627        180.14819   2.14819032
1628        197.76792 -22.23207740
1629        132.27866 112.27865541
1630        187.20868 -66.79131817
1631        195.97092 -48.02907686
1632        209.52210 -57.47789958
1633        191.80850  28.80849601
1634        186.41193  33.41192555
1635        182.01662 155.01662038
1636        166.61761 -28.38239032
1637        194.14040 -37.85960098
1638        135.71309  65.71309477
1639        187.52934 -56.47065522
1640        169.56712 110.56711898
1641        181.18914 -11.81086493
1642        180.74450  -0.25549621
1643        235.80050  14.80049716
1644        220.30380 192.30379949
1645        184.89752 -27.10248470
1646        198.04367 -36.95633491
1647        189.00852  15.00852344
1648        157.28305 -55.71695026
1649        157.57771 -17.42228626
1650        179.25344 -61.74656443
1651        175.83579  49.83578511
1652        175.33541 -42.66459014
1653        147.43152   0.43152444
1654        183.32906 -47.67093959
1655        154.55658 -20.44341733
1656        203.19493 -17.80507416
1657        150.86076 -14.13923512
1658        233.18504  79.18503718
1659        193.08255 -51.91744539
1660        182.02256 -45.97744185
1661        181.70420 159.70420154
1662        197.44212 -26.55787947
1663        180.45325  64.45324771
1664        218.32749   9.32749391
1665        183.13263 -55.86736820
1666        216.36931 -44.63069291
1667        165.64735  64.64734855
1668        197.15870 -24.84129588
1669        189.61884 -38.38115708
1670        143.62253  -9.37746953
1671        195.50132 -23.49868198
1672        216.55389 -45.44611370
1673        193.45588 -59.54411926
1674        139.90022  -9.09977763
1675        189.57010 -23.42989593
1676        162.98614 -20.01386013
1677        196.83155 -27.16845080
1678        205.15383   4.15382992
1679        194.72656 -51.27344124
1680        171.02786  36.02786305
1681        201.87121 -24.12878614
1682        191.43344 -34.56656340
1683        169.84153  10.84152702
1684        170.50655  64.50654710
1685        173.02033 -18.97966539
1686        162.93490  22.93489702
1687        181.47184 -26.52816015
1688        203.57052 -22.42947870
1689        184.51497   5.51496875
1690        190.42500 -39.57499582
1691        176.81728 -59.18272378
1692        169.44075 -32.55925220
1693        178.86997 -35.13003429
1694        235.31768  54.31767622
1695        173.12272 -27.87728362
1696        174.35009 -34.64991349
1697        187.44957 147.44956929
1698        205.44360 162.44360014
1699        189.60614 -30.39385630
1700        133.68461   0.68460644
1701        189.04385  62.04384812
1702        188.80757 -26.19242717
1703        200.14526 -31.85473529
1704        176.36027 -67.63972515
1705        172.65918  18.65918331
1706        189.01058 -71.98942253
1707        180.11843  42.11842810
1708        196.10153 -33.89847212
1709        157.35099   0.35099372
1710        184.77247 -28.22752727
1711        182.71479  77.71478621
1712        199.20747  11.20747251
1713        174.83299 -43.16700668
1714        198.66035 -59.33965080
1715        216.37306 -46.62693723
1716        185.16425 -32.83574879
1717        161.21784  49.21783830
1718        159.26202  70.26201970
1719        183.61634 -56.38365776
1720        190.55142 -44.44858075
1721        176.67012 -58.32987769
1722        217.22072  19.22072007
1723        182.98988 -65.01011875
1724        180.34502 -54.65497780
1725        194.83564 -33.16436296
1726        180.71005 -56.28994870
1727        178.00043 -62.99957439
1728        194.40177 -51.59822718
1729        209.65285  -9.34715241
1730        153.38613 111.38613474
1731        187.70386 -44.29614450
1732        188.82184 -54.17816094
1733        189.66899 -59.33101391
1734        180.29013 -56.70986701
1735        171.75220  55.75220013
1736        181.69547 -48.30452787
1737        180.47684 -60.52316197
1738        170.99244 -27.00755567
1739        187.00116 -60.99884492
1740        201.35324  -3.64676154
1741        139.87305  57.87305198
1742        192.04282  53.04282499
1743        191.48216 -44.51784059
1744        138.36508  49.36508079
1745        192.86623 -52.13377029
1746        179.19851 -58.80148994
1747        177.74323 -55.25676841
1748        185.21477 -44.78523022
1749        171.10961  15.10960986
1750        185.28540 -27.71459585
1751        180.38482 -37.61517864
1752        173.39341 -25.60659043
1753        197.54616 -11.45383555
1754        224.16416  14.16415649
1755        185.92344 -39.07655867
1756        177.86525 -80.13474557
1757        183.36831 -28.63169094
1758        212.31860 -35.68139804
1759        178.87212 -34.12787822
1760        226.97653   9.97653492
1761        223.30045  -1.69955315
1762        211.04358 -52.95641522
1763        194.77208 -28.22792310
1764        179.64634 149.64633941
1765        177.97484 -61.02516226
1766        165.50719 -26.49281083
1767        154.15015  -6.84985330
1768        184.83539 -37.16461329
1769        235.08205  56.08205359
1770        199.99583 156.99582956
1771        178.40195  51.40194653
1772        186.19410  -7.80589575
1773        171.27520  22.27520368
1774        216.92936 -33.07063811
1775        180.16661   3.16661488
1776        181.99199 -46.00800991
1777        150.29382  44.29381882
1778        193.70960 107.70959726
1779        187.79765 -15.20234524
1780        196.75054   6.75053658
1781        182.16800  17.16799960
1782        201.21718 -22.78282314
1783        185.92278 -21.07722320
1784        190.93806 -64.06194167
1785        193.56800 -36.43200380
1786        214.68452 -33.31548386
1787        176.66077  60.66077357
1788        182.89399 121.89398714
1789        190.30830   5.30830300
1790        119.23985  89.23984919
1791        194.39648 -20.60351884
1792        186.87714 -27.12285636
1793        180.92877  50.92876733
1794        118.42890  71.42890198
1795        187.82853 -53.17146600
1796        179.87486 -59.12513563
1797        200.22957 -11.77042886
1798        209.81055  -8.18944739
1799        183.62819 -37.37180942
1800        168.81431   7.81430919
1801        154.83871 -18.16128702
1802        158.42841 -20.57158914
1803        176.26516 135.26516064
1804        169.54828 -11.45171558
1805        168.76769 -31.23231015
1806        208.36789 -47.63210842
1807        182.71287 -71.28712841
1808        143.76172  50.76171883
1809        178.95400 -38.04599881
1810        185.00664  56.00664023
1811        193.92341 -37.07658728
1812        217.06334  59.06334302
1813        186.26323 184.26323037
1814        186.12622 -49.87378176
1815        227.32225   5.32224528
1816        214.84655 -50.15345462
1817        182.87124 -33.12876121
1818        177.92533 -23.07466969
1819        185.79212 -15.20788223
1820        217.83684 -25.16315530
1821        204.82234  34.82233559
1822        191.95591 -52.04409070
1823        184.68883   3.68882584
1824        233.64148  25.64148384
1825        213.96431  -0.03568949
1826        187.44538  20.44538437
1827        170.54407 100.54407065
1828        203.65305 163.65305130
1829        174.31559 -22.68440775
1830        190.94532  80.94532335
1831        187.67501 -12.32499061
1832        180.32916 -42.67083624
1833        201.17251  12.17250684
1834        162.18895  18.18895266
1835        236.36774 139.36774436
1836        210.17052 -42.82947610
1837        164.31557  -2.68443226
1838        197.87035 -36.12964838
1839        192.82753 -44.17246538
1840        191.25822 -62.74178312
1841        184.26793  -9.73206787
1842        189.18000 149.17999632
1843        212.44651 149.44651335
1844        132.53828  62.53828161
1845        158.93102  -9.06897870
1846        178.94597 -31.05402982
1847        174.24360 114.24360320
1848        143.00929  -2.99070634
1849        176.78839 -60.21161031
1850        182.93303  39.93302962
1851        237.41963  35.41963104
1852        195.56145 -54.43855187
1853        190.58799 -42.41201014
1854        230.67545  52.67545275
1855        178.69208 -61.30792212
1856        188.61397  33.61396682
1857        185.62041  51.62041201
1858        177.07998 147.07998496
1859        185.51170 -52.48830011
1860        185.10642  25.10642133
1861        176.75747  17.75747407
1862        174.78941 -36.21059077
1863        173.27545 -24.72454762
1864        197.72406 -21.27594224
1865        111.94190  91.94190057
1866        195.18711 -57.81288914
1867        200.20545  18.20545386
1868        173.64236 -30.35763831
1869        189.24357   8.24356621
1870        173.29095 -22.70904513
1871        136.69311  -3.30688786
1872        191.32512 -44.67488157
1873        157.35974 137.35974101
1874        145.05185 -27.94815337
1875        122.93693  31.93692526
1876        179.22780  -8.77220177
1877        170.18031 115.18031077
1878        182.06235 132.06234784
1879        185.87787 -40.12212776
1880        199.74409   2.74409014
1881        191.17282 -36.82718019
1882        176.72884 -54.27116106
1883        190.58275   4.58274915
1884        180.22288 -58.77712212
1885        189.55151 -61.44848735
1886        225.93566   5.93565676
1887        178.64698 -65.35302264
1888        189.88963 154.88963109
1889        149.45854 -18.54146360
1890        161.60763 -26.39236839
1891        182.04679  14.04679139
1892        181.77967 -53.22033430
1893        181.24498 -30.75501904
1894        168.21770 -30.78229531
1895        165.29044   2.29044341
1896        158.26846 -23.73153557
1897        199.21804  15.21804491
1898        129.72059  91.72059344
1899        227.65444  34.65443831
1900        181.86424 -57.13575546
1901        218.13207 -40.86792607
1902        191.33799 -51.66201064
1903        183.12318 -73.87681822
1904        191.43989 -52.56010560
1905        169.10515 -27.89484836
1906        152.00429 112.00429426
1907        185.08628 155.08628302
1908        184.05224 -73.94775599
1909        185.50544 -39.49455538
1910        178.10143 -75.89857468
1911        170.30255 107.30255279
1912        178.40274 -63.59726257
1913        161.96059   2.96059103
1914        200.84055 -56.15945376
1915        175.77173 151.77173094
1916        180.47159 -47.52841465
1917        166.02396 -27.97603509
1918        194.32023  64.32022945
1919        176.97985 -70.02014810
1920        191.08023 -35.91976600
1921        246.08779  56.08778857
1922        243.56901  28.56901026
1923        206.30678  17.30677824
1924        192.24041 -57.75958511
1925        181.18328 -46.81671663
1926        190.02566 -43.97433515
1927        183.34557 -38.65442671
1928        188.14418  -1.85581849
1929        168.81633  59.81632805
1930        186.21473  11.21472786
1931        179.21621 -56.78379359
1932        178.75420 -52.24579596
1933        222.28332 -20.71667907
1934        215.91028 118.91027933
1935        182.44641 -63.55359215
1936        188.59313 -10.40687142
1937        219.99903  -6.00097293
1938        185.63817 -72.36183189
1939        224.05450 -10.94550159
1940        210.22051  73.22050794
1941        219.92519   1.92518655
1942        182.69237 152.69237065
1943        167.30747  40.30746825
1944        194.63374 -59.36626304
1945        199.34584 -61.65416032
1946        183.68180  25.68179612
1947        191.09977  77.09977096
1948        181.64163 -52.35837064
1949        162.00395  17.00394536
1950        173.14065  33.14064645
1951        204.60596   4.60596392
1952        188.40474 -48.59525936
1953        189.45773  81.45772610
1954        179.51009 -63.48990745
1955        181.89433 -77.10566643
1956        172.23245 152.23245153
1957        184.75066 -37.24934422
1958        195.08693  10.08693335
1959        191.24856  19.24855920
1960        154.36308  -1.63692114
1961        178.07253 -33.92746580
1962        205.88191 -37.11809176
1963        136.51816  -4.48184499
1964        178.70193 -55.29806776
1965        196.54053 142.54052547
1966        184.11755 -61.88244958
1967        145.78893  -2.21106521
1968        225.85554 146.85554099
1969        201.23145  57.23144629
1970        185.52169  11.52169261
1971        227.35534  87.35533847
1972        220.09246 -31.90753620
1973        171.03771 -23.96229064
1974        192.42504 -28.57496435
1975        184.19100 -51.80899832
1976        172.98612   2.98611712
1977        186.38655 173.38654855
1978        192.33026  28.33025811
1979        197.65629 -64.34371048
1980        182.73968 -28.26031664
1981        180.40430 -49.59569660
1982        182.68801 -47.31199423
1983        146.88629 -14.11370618
1984        238.64303  59.64302898
1985        186.44857 -41.55142726
1986        177.59726  47.59726027
1987        192.69958 -24.30042316
1988        193.26906 -53.73093615
1989        177.39829 -58.60171371
1990        194.54982  40.54981824
1991        210.02139 -15.97860722
1992        192.87312  43.87312194
1993        181.42260 -77.57739985
1994        198.53876 -33.46124395
1995        169.25890 -28.74109654
1996        186.30775 -58.69224949
1997        191.55853 -31.44147497
1998        213.72803  31.72803016
1999        198.87124  68.87124242
2000        207.20966 -13.79034067
2001        160.65709 -26.34291219
2002        176.01812  53.01811665
2003        190.13137 -57.86862782
2004        186.88282 -51.11718452
2005        193.51782 -40.48218252
2006        190.64931 -23.35069258
2007        189.02287  44.02287331
2008        190.89253 -42.10746598
2009        189.21073 -53.78926546
2010        192.07996 -56.92003716
2011        128.43706  17.43705875
2012        185.13683 -52.86317432
2013        205.63108 -15.36891504
2014        188.87168 -47.12832383
2015        208.06663  36.06662521
2016        188.83456 -59.16543894
2017        188.38129  28.38128732
2018        183.27237 -27.72763126
2019        176.08573 -30.91427074
2020        190.13526 -44.86474397
2021        121.32383  37.32383363
2022        193.30222 -50.69777909
2023        179.66974  20.66974220
2024        164.88861   1.88860892
2025        184.48476 174.48475935
2026        185.30099 -44.69900878
2027        184.40370  32.40370286
2028        190.09241 -31.90759378
2029        160.20897 -25.79102665
2030        146.62866  64.62866142
2031        185.18499  31.18499108
2032        185.34885 -70.65114715
2033        225.68809  62.68808506
2034        178.71192  -5.28808229
2035        179.74838 -60.25161719
2036        153.65332  21.65331501
2037        173.34089  40.34088639
2038        202.10068  79.10068420
2039        188.98121 -52.01879111
2040        177.16681 -64.83318585
2041        179.35201 -60.64799223
2042        186.26009  15.26008751
2043        202.30646  -0.69353761
2044        187.02440 -41.97559875
2045        236.00775 180.00774974
2046        225.32916  23.32916007
2047        199.46489  -9.53510654
2048        201.71625 -18.28375146
2049        183.41101 -33.58899159
2050        174.81374 -43.18626245
2051        181.06988 -47.93012106
2052        181.33823 -33.66177109
2053        180.36181 -24.63818844
2054        182.05955 -37.94044925
2055        176.82297 -86.17703036
2056        186.28256  54.28256315
2057        193.06424 -56.93576164
2058        195.06171 -36.93828727
2059        189.26544 -28.73455620
2060        200.77337  51.77337389
2061        180.04891   4.04890750
2062        180.88156 -29.11843852
2063        196.67056 142.67055909
2064        190.05504 -15.94495566
2065        185.63085 -22.36914558
2066        198.87563 -23.12437021
2067        175.54019 -45.45980771
2068        183.16145  19.16145320
2069        170.75169  52.75168647
2070        186.47245 126.47245175
2071        185.11238 -44.88761968
2072        176.18840 116.18840388
2073        189.16550 -52.83450289
2074        152.03177 -21.96822517
2075        143.61351 -12.38649293
2076        178.30281 -60.69719347
2077        201.75508  30.75508352
2078        123.55271  64.55270672
2079        203.53216 -20.46784226
2080        193.85386 185.85385924
2081        194.47604 -10.52395953
2082        197.32248 -57.67752463
2083        149.23091 -19.76908775
2084        192.10202 -43.89798273
2085        189.72790  92.72790250
2086        188.57778 -52.42221890
2087        195.78442  86.78441734
2088        162.88173 -27.11827144
2089        147.42481  63.42481333
2090        178.62138 -64.37861680
2091        226.11299  34.11298537
2092        130.51755  89.51755014
2093        171.59307  14.59307328
2094        211.36143  -9.63856517
2095        189.15691 -43.84309121
2096        169.53539   2.53538654
2097        191.43034 -41.56965581
2098        192.56140 -39.43860054
2099        199.81774 196.81774267
2100        226.10648  21.10647632
2101        183.87468  41.87467634
2102        193.58640 -24.41359508
2103        176.26777 -49.73223028
2104        169.10809 -28.89191001
2105        156.78636  96.78636234
2106        182.86136 -35.13864287
2107        188.27776 -20.72224144
2108        144.78128  -2.21872130
2109        173.48870  16.48869565
2110        190.46600 -51.53400405
2111        178.19560  34.19560206
2112        185.27777 -18.72222914
2113        195.06660 -51.93339707
2114        183.46542  -9.53457682
2115        119.14467 -17.85532608
2116        191.59852 -63.40147860
2117        177.55131 -62.44869267
2118        191.92507 -26.07492801
2119        170.63915  54.63914805
2120        190.93042 -22.06957796
2121        214.76074 -12.23925869
2122        172.20959 -34.79041353
2123        186.05825  99.05825195
2124        200.29996 -63.70004002
2125        146.71511 102.71511134
2126        244.04581  47.04581142
2127        207.39069 -19.60931082
2128        208.88889 -14.11110509
2129        169.07015  15.07014646
2130        177.43274 -31.56726479
2131        193.24374 -55.75626096
2132        200.85279 -22.14720873
2133        218.03409   5.03409472
2134        212.05040 -50.94959700
2135        191.70234 -48.29765571
2136        187.22496   6.22495874
2137        196.06265 -40.93734537
2138        171.24740 126.24739745
2139        180.26953 -44.73046738
2140        209.85628 -54.14371698
2141        132.44396 114.44396094
2142        182.28742 -62.71257505
2143        170.22512  36.22512331
2144        164.30573 -30.69427333
2145        179.40380 139.40380140
2146        166.53256 -44.46744084
2147        179.73557   7.73556959
2148        223.87554  56.87553878
2149        187.08047 -67.91952620
2150        185.11006 -59.88993821
2151        184.57243 -28.42757356
2152        138.23597  -6.76403408
2153        183.87359  -9.12641186
2154        193.47952 -55.52048300
2155        208.89787   0.89786819
2156        178.66334 -58.33665574
2157        193.19437 -67.80562517
2158        180.55250  41.55249907
2159        182.45652 -28.54347639
2160        186.64991   8.64991352
2161        181.57371  37.57370631
2162        190.23197 -45.76803344
2163        269.80556  76.80556347
2164        170.88615 -23.11385470
2165        191.31121 -49.68879408
2166        179.59603 -60.40397047
2167        191.89212 -51.10787710
2168        192.23432  34.23431846
2169        188.95039  94.95038791
2170        202.38952  -7.61048052
2171        176.97392 -60.02608050
2172        178.45191 -63.54809149
2173        181.41463  57.41463459
2174        181.89545 -57.10454679
2175        206.03300  17.03300315
2176        183.98794  48.98793764
2177        178.01872 -30.98128051
2178        222.05112  -8.94888135
2179        184.07812 -53.92188372
2180        190.29300  47.29299885
2181        192.83112 114.83112077
2182        189.15181  90.15181313
2183        185.86714 -66.13286169
2184        182.54102   5.54102343
2185        166.71649 -32.28350837
2186        249.90000  39.90000101
2187        192.08550 -37.91450094
2188        183.61621 -39.38379197
2189        174.39603 -29.60397212
2190        185.43804 -39.56196068
2191        183.51192 -17.48807581
2192        172.32500  -2.67499690
2193        195.76309 -56.23690839
2194        209.07590 -52.92410436
2195        212.80094  39.80094178
2196        155.99847 -21.00152828
2197        130.47111  42.47110785
2198        179.53935 -54.46065322
2199        263.24901  64.24901133
2200        144.02958 -14.97042257
2201        182.64454 -31.35545994
2202        190.60215 -15.39785086
2203        191.11332 -20.88668414
2204        209.60764 -54.39235652
2205        190.68815 -52.31185283
2206        189.90172  59.90171507
2207        139.63440 -21.36559641
2208        207.91471  -7.08528905
2209        198.51747  -5.48253117
2210        192.26546 184.26545660
2211        161.88707  -5.11293024
2212        217.04644  37.04643676
2213        152.55749 -24.44250525
2214        192.79899 -28.20100624
2215        152.87502  25.87502011
2216        181.17838 -38.82161917
2217        200.10516 -29.89484093
2218        218.36967  15.36967301
2219        185.06845   0.06845496
2220        188.15218 -45.84782404
2221        187.72088 -64.27912456
2222        191.27190 -52.72809633
2223        185.01121 -47.98879169
2224        174.39311 -30.60688582
2225        192.48676 -44.51323657
2226        184.60515 -47.39484849
2227        159.81896 -26.18103649
2228        232.79070  11.79069867
2229        190.25586 -35.74413994
2230        200.96146 -52.03853731
2231        185.19608   3.19607612
2232        198.49017  25.49016764
2233        186.42041 -57.57958893
2234        157.84030 137.84029661
2235        171.75120  60.75120162
2236        179.20258 -11.79741558
2237        171.47496 -21.52504398
2238        193.25992   2.25992259
2239        193.92252 145.92252330
2240        201.60361  39.60361207
2241        149.97624  40.97624465
2242        184.93150 -54.06849647
2243        156.29008  33.29008404
2244        211.88430 -39.11570450
2245        180.72843  41.72843074
2246        194.37897 -54.62103459
2247        195.11178 -71.88822441
2248        187.77680  -4.22320002
2249        211.55854 -54.44145964
2250        133.65125  41.65124623
2251        182.21966  15.21966359
2252        172.78123  -5.21877175
2253        174.00726  54.00726350
2254        186.92401  93.92400542
2255        147.37563  11.37563095
2256        180.54383 -20.45616601
2257        191.49505 -38.50495437
2258        178.32574 -40.67425673
2259        180.26932 -45.73068198
2260        196.38834 -47.61165795
2261        153.32439 -50.67560940
2262        201.82325   3.82324656
2263        200.63663 174.63662649
2264        178.75362  12.75362135
2265        209.33593 -34.66406968
2266        217.88975  26.88975360
2267        174.58665 -32.41335372
2268        182.46230 -55.53770476
2269        181.93852 -49.06148322
2270        181.64040 -37.35959627
2271        192.02002 -43.97998157
2272        209.26231 -58.73768875
2273        146.34676 -45.65324390
2274        180.38416 -45.61583794
2275        191.14281 -37.85718709
2276        175.95657  16.95656529
2277        220.73389  53.73389180
2278        169.15470  30.15469733
2279        152.30708 -38.69292155
2280        196.15993 -27.84007288
2281        205.75145 -57.24854781
2282        159.92484 -19.07516262
2283        190.92462 -31.07538312
2284        215.64756 -42.35243614
2285        172.14100   5.14100173
2286        131.70058   2.70058488
2287        152.12255 105.12254638
2288        192.82389 -54.17611186
2289        183.65067  -5.34933032
2290        190.94018  -6.05981986
2291        175.32414 -40.67585996
2292        180.25180 -57.74819563
2293        195.71508 -70.28492320
2294        191.39145  13.39145330
2295        187.62232 -34.37767772
2296        216.32102  66.32102017
2297        208.45081  43.45081152
2298        201.76963  38.76962741
2299        184.07515 -55.92484847
2300        194.13697 -34.86303071
2301        161.96347  59.96347164
2302        169.96360 148.96360362
2303        202.25252 -22.74748354
2304        191.23818 -19.76181619
2305        206.69634   3.69633894
2306        194.44483  88.44483077
2307        186.05341 -58.94659276
2308        199.94742  -3.05257940
2309        268.08224  75.08223976
2310        164.43392 129.43391977
2311        182.86023  21.86023443
2312        217.94868 -30.05131584
2313        189.76843 -65.23157499
2314        194.92316 -55.07683843
2315        200.14732 -23.85267696
2316        189.36151 -14.63848948
2317        172.20354 -28.79646225
2318        176.77733 -50.22267071
2319        182.95577  -0.04422509
2320        191.44248 -42.55751614
2321        211.19380  -0.80619697
2322        186.89819 -61.10180989
2323        180.37081 -40.62919084
2324        190.08020 -13.91980000
2325        188.55940 -48.44060379
2326        184.21379  61.21379498
2327        186.17966 -25.82034259
2328        191.89109 -45.10890531
2329        187.12321 -34.87679037
2330        187.30927 -49.69072996
2331        226.30028  73.30027718
2332        179.51607 -39.48393447
2333        178.97694 -35.02306000
2334        221.47903   7.47903063
2335        177.46368 -41.53632034
2336        182.90310 -24.09690408
2337        184.52812  64.52812051
2338        163.56519  -7.43480513
2339        175.54830 119.54829933
2340        195.37586 -48.62413717
2341        188.79553   0.79552716
2342        153.28809 -23.71191107
2343        176.06120 -27.93880346
2344        172.74993 -59.25006979
2345        183.70313 -59.29686715
2346        180.35573 -36.64426849
2347        188.14477 -65.85522683
2348        182.21710  26.21710349
2349        188.60348 -46.39651584
2350        199.03210 -12.96790285
2351        193.76689 -56.23311242
2352        170.76915  50.76915158
2353        185.42033 154.42032662
2354        188.13672  61.13672303
2355        189.67800 -43.32199861
2356        167.64426 -15.35574022
2357        185.03301 -16.96698855
2358        122.10738 102.10737976
2359        196.19571 -34.80429041
2360        139.23551  -6.76448668
2361        192.80291 -47.19709232
2362        179.65712  44.65711835
2363        149.42083 -20.57916961
2364        182.80826 -54.19174220
2365        143.14962   4.14961912
2366        190.51551 -61.48449340
2367        211.24317  -5.75683328
2368        147.38771  81.38770594
2369        187.08570 -37.91430196
2370        204.00794 114.00793984
2371        183.10665 -65.89334694
2372        173.06665 -16.93334861
2373        212.04023   8.04022844
2374        192.30483 -43.69516721
2375        177.88177 -11.11822509
2376        191.60208  38.60207616
2377        168.58094  -9.41906346
2378        192.14811 -54.85189496
2379        178.98601 -63.01398793
2380        141.94715  -8.05284602
2381        177.71304  -6.28696373
2382        182.51646 -31.48353890
2383        205.93624 -51.06376258
2384        214.89049  66.89048969
2385        185.05841 -57.94159496
2386        186.24450  29.24449862
2387        203.04401 154.04401162
2388        222.73065   1.73064507
2389        180.52021 -53.47978535
2390        194.49906 -55.50093992
2391        168.36434 -18.63565820
2392        123.39480  73.39479992
2393        244.61685  94.61684514
2394        184.89005 -44.10995050
2395        180.93234  -6.06765721
2396        192.50056  49.50055845
2397        156.57083 -25.42917018
2398        183.97773 -54.02226782
2399        173.41443 -25.58556874
2400        156.59448 -21.40551910
2401        191.68947 -20.31052771
2402        147.01225 -14.98775107
2403        188.38995  11.38994612
2404        165.47434  -3.52566041
2405        189.15644  -2.84355774
2406        208.25654   4.25654406
2407        203.35494 195.35494085
2408        186.13306  37.13305794
2409        175.45410 -34.54590150
2410        199.49040 -62.50959966
2411        147.03781 -53.96218777
2412        143.34047 -13.65952716
2413        164.98697 -29.01302764
2414        168.56859 149.56859421
2415        182.03855 -78.96145279
2416        180.52553 -46.47446752
2417        188.69868 -40.30132466
2418        187.95553 -58.04447444
2419        185.92339 -45.07661324
2420        212.93204   9.93204369
2421        199.06492 -21.93508450
2422        203.64722 -59.35277540
2423        192.68051  90.68051367
2424        174.07928 -26.92072486
2425        173.86953  16.86953188
2426        173.16081 -19.83918653
2427        186.59579 -44.40421155
2428        193.86756 -54.13243620
2429        186.46084  90.46083922
2430        182.67782  36.67781950
2431        222.47232  28.47231541
2432        207.85100  -8.14900189
2433        175.88749 -32.11251103
2434        189.81129 -20.18870587
2435        151.06490  49.06490087
2436        179.12292 -43.87707686
2437        187.05627 -39.94372507
2438        182.90208  62.90208072
2439        184.69121 -48.30878983
2440        184.28781  42.28780738
2441        187.92345 -28.07654758
2442        187.09661  88.09661088
2443        180.21307 166.21306640
2444        172.35411 135.35410766
2445        191.40847 -32.59152522
2446        159.85560 109.85560300
2447        191.69425 -26.30574698
2448        196.07038 -61.92961834
2449        230.46819  51.46819043
2450        191.75279 -31.24720892
2451        203.78315 -44.21685291
2452        192.06137  39.06137062
2453        183.38656 -38.61344150
2454        142.70320  -0.29680240
2455        189.37603  -7.62396763
2456        175.09864 -18.90136443
2457        209.62959 -41.37040985
2458        217.53227  -8.46772581
2459        182.92865 -39.07135114
2460        183.75928  -6.24071646
2461        219.80547 169.80546871
2462        159.32479  37.32479039
2463        184.55445  18.55445322
2464        145.39763  -8.60236933
2465        216.85381 -41.14619000
2466        159.25759  12.25758737
2467        127.83922 -72.16077965
2468        182.45516 112.45516259
2469        182.94991 -45.05009443
2470        176.38264 -54.61735977
2471        206.14892 -56.85108065
2472        177.72975 -17.27025404
2473        138.82605  -4.17394847
2474        188.55697 -50.44303126
2475        153.61834 -17.38165988
2476        160.24677 116.24676536
2477        211.96589 -52.03410733
2478        180.51281 -54.48719440
2479        177.22873 -68.77127005
2480        198.71539 -39.28460817
2481        186.14524  47.14523731
2482        191.85051  71.85051435
2483        155.93879 -74.06120785
2484        198.13414   8.13414069
2485        182.82857 -12.17143130
2486        237.49275  35.49274637
2487        170.99419 -60.00580603
2488        193.00249 -15.99750741
2489        196.41750 -44.58250384
2490        196.42548 -42.57452019
2491        183.00352  19.00351973
2492        166.68127 -13.31872549
2493        190.34747 -12.65253155
2494        218.75945 -37.24054502
2495        190.05389   9.05389168
2496        189.26554 -18.73446390
2497        189.83096 -23.16903742
# plot predictions versus residuals for model 2
ggplot(plotresiduals2, aes(x=polynomial_model, y=residuals)) + 
  geom_point() + 
  geom_abline(slope = 0, intercept = 0, color = "pink", size = 1.5) + #add straight line at 0
  labs(x= "Predicted Values", y= "Residuals")

From the residual plot, we can clearly see that there are trends remaining that we did not capture. This means that I will move to a more complex model.

GAM Model

lastly, we will try the GAM model to fit the data. The advantage of this model is that it is more complex and can allow for separate functions for each predictor. This might be useful to capture complex trends. Additionally, it has a “smoothing” parameter that help’s control the effect of each predictor. I will try to initially fit this GAM model.

set.seed(123) # set seed for reproducibility

gam_recipe <- recipe(totality ~ lat + lon, data = train_data)%>% 
  step_normalize(all_predictors()) # normalize for all predictors (lat and lon)

# model with selecting features but default for adjusting df
gam_model <- gen_additive_mod()%>% 
  set_args(select_features = TRUE)%>% 
  set_args(adjust_deg_free = NULL)%>% 
  set_engine("mgcv")%>% 
  set_mode("regression")

gam_workflow <- workflow()%>% 
  add_recipe(gam_recipe)%>% 
  add_model(gam_model, formula = totality ~ s(lon) + s(lat)) # also have to add formula for add_model() for gam

gam_fit <- 
  gam_workflow %>% 
  fit(data = train_data) # fit the GAM model to the train data using the workflow
tidy(gam_fit)
# A tibble: 2 × 5
  term     edf ref.df statistic p.value
  <chr>  <dbl>  <dbl>     <dbl>   <dbl>
1 s(lon)  8.92      9      28.6       0
2 s(lat)  8.52      9      29.2       0

The estimated degrees of freedom for both are approximately 9, with statistics approximately equal to 29. I will now make soem predictions and examine some performance metrics.

# Use fit model to make predictions
gam_aug <- augment(gam_fit, train_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
eval_metrics(data = gam_aug,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae        46.6  
2 rmse       59.1  
3 rsq         0.112

This resulted in a MAE and RMSE approximately equal to the tuned polynomial model (47 and 59 respectively). I got an R squared value of around 12%. To improve these values, I would like to tune for the adjusted degrees of freedom.

num_cores <- detectCores() - 1
# Initialize parallel backend
doParallel::registerDoParallel(cores = num_cores) # add parallel processing to speed up the computations

set.seed(123) # set seed for reproducibility
gam_grid <- grid_regular(adjust_deg_free(range = c(2,10)))

gam_recipe <- recipe(totality ~ lat + lon, data = train_data)%>% 
  step_normalize(all_predictors()) # normalize for all predictors (lat and lon)

# model with selecting features but default for adjusting df
gam_spec <- gen_additive_mod()%>% 
  set_args(select_features = TRUE)%>% 
  set_args(adjust_deg_free = tune())%>% 
  set_engine("mgcv")%>% 
  set_mode("regression")

gam_tune_workflow <- workflow()%>% 
  add_recipe(gam_recipe)%>% 
  add_model(gam_spec, formula = totality ~ s(lon) + s(lat)) # also have to add formula for add_model() for gam tuning

gam_tune_cv <- tune_grid(
  object = gam_tune_workflow ,  # Specify object as the workflow
  resamples = folds_data, # use data for tuning from the CV folds
  grid = expand.grid(adjust_deg_free = gam_grid), 
  control = control_grid(save_pred = TRUE))

gam_tune_cv %>% 
  autoplot()

It seems like the ideal tuning parameter here is a smoothness adjustment of 2. We will select the model based on the best rmse and fit that tuned model.

# Get optimal parameters
gam_best_rmse <- gam_tune_cv %>% 
  select_best(metric = "rmse")
gam_best_rmse
# A tibble: 1 × 2
  adjust_deg_free .config             
            <dbl> <chr>               
1               2 Preprocessor1_Model1
# Finalize workflow
gam_tune_wf <- gam_tune_workflow %>% 
  finalize_workflow(gam_best_rmse)

# fit model
gam_tune_fit <- fit(gam_tune_wf, train_data)
tidy(gam_tune_fit)
# A tibble: 2 × 5
  term     edf ref.df statistic p.value
  <chr>  <dbl>  <dbl>     <dbl>   <dbl>
1 s(lon)  8.77      9      27.8       0
2 s(lat)  8.26      9      28.3       0

The estimated degrees of freedom is similar to what was found above. The statistics have slightly decreased, to approximately 28 for both lon and lat. We will not evaluate the model with metrics

# Use fit model to make predictions
gam_aug2 <- augment(gam_tune_fit, train_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
eval_metrics(data = gam_aug2,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae        46.6  
2 rmse       59.1  
3 rsq         0.112

The metrics are the same as before, displaying that there was not much change after tuning. Perhaps, the tuned parameter for smoothing was the same as the default parameter before tuning. We will now examine the residual plot, to compare this to the other models.

plotresiduals3 <- data.frame(
  general_additive_model = c(gam_aug2$.pred), 
  residuals = c(gam_aug2$.pred - gam_aug2$totality)) #calculate residuals by predicted - observed
plotresiduals3
     general_additive_model    residuals
1                  195.2987   7.29867189
2                  188.4331  62.43312769
3                  184.8440 -19.15596348
4                  189.4001  36.40014310
5                  184.3746  10.37458448
6                  187.0011  10.00112377
7                  180.3419 -60.65806250
8                  181.6982 -60.30184266
9                  194.7743 -36.22567329
10                 171.0829 -34.91712027
11                 206.7187  54.71874923
12                 127.5636  -7.43635578
13                 201.5793 -20.42071914
14                 182.9620 -27.03804170
15                 192.6107  65.61068350
16                 197.6102  -6.38982465
17                 193.7753 -14.22474464
18                 186.0544 -31.94562766
19                 198.8046 -50.19540869
20                 207.6560  20.65601279
21                 131.0793 -10.92067610
22                 194.6128 -61.38715193
23                 180.6646 -20.33537815
24                 188.2159  -9.78413649
25                 177.3767 -60.62331712
26                 192.7718 -58.22821373
27                 161.5181 141.51807019
28                 152.5962  13.59616645
29                 193.6478 -28.35219164
30                 185.4274   8.42736422
31                 182.6300 -61.36996352
32                 172.2603 -32.73967648
33                 194.3568 -38.64319751
34                 189.0945 -38.90551393
35                 207.7859 -10.21413260
36                 185.3195 -37.68046096
37                 181.0518 -41.94823946
38                 147.3275 -56.67249340
39                 192.0196 -34.98036749
40                 184.1203  67.12028748
41                 185.8470 -38.15300822
42                 173.7587 -27.24129223
43                 188.6654 -65.33455465
44                 190.4480  80.44801161
45                 186.9835 -45.01650655
46                 179.0061  -5.99394298
47                 182.9727  34.97267887
48                 188.5963 -60.40366282
49                 182.0531  15.05306248
50                 169.9774 -14.02259201
51                 110.7807  33.78066476
52                 179.9831 -32.01689494
53                 174.7457 -27.25433788
54                 182.9340 -20.06598578
55                 191.4073 -43.59265671
56                 175.8051 -53.19488330
57                 207.0075 -44.99245302
58                 186.5617 -38.43831612
59                 204.7194 -24.28063443
60                 190.9599 -55.04007725
61                 189.4525 -32.54749337
62                 162.2344   2.23437120
63                 196.5232  35.52315007
64                 134.8552  -3.14479288
65                 167.9517 -12.04833708
66                 185.5967   9.59668157
67                 211.5468  -1.45322702
68                 190.1585 180.15852540
69                 188.1125  43.11250540
70                 196.3811  58.38106106
71                 180.8314 -14.16864004
72                 211.8872  60.88723425
73                 181.1690   3.16903114
74                 212.8297 -12.17031133
75                 182.9835 -51.01648908
76                 156.4726 146.47257107
77                 187.0544 -27.94560689
78                 182.1275  22.12750255
79                 190.1241 -57.87585314
80                 187.3584 -47.64157032
81                 114.4858  21.48577298
82                 204.6945 -16.30554705
83                 193.8914   0.89138077
84                 185.1952 -50.80482605
85                 187.4554 -37.54463873
86                 155.7972  -0.20279413
87                 156.6317 136.63174762
88                 222.0519 192.05191066
89                 187.3179  42.31790863
90                 206.8407 -30.15934022
91                 194.3183 -48.68166086
92                 182.4389 -50.56109272
93                 165.9208 -27.07921542
94                 158.7595  14.75948494
95                 179.7788 -37.22124190
96                 176.5498 -63.45019962
97                 188.0526 -45.94739375
98                 145.9640 131.96397092
99                 204.6728  24.67282730
100                273.3729  70.37292061
101                185.1071 175.10707509
102                186.1736  20.17359426
103                181.6070 -29.39297969
104                179.9597 -31.04032197
105                175.0386 -41.96143679
106                180.7705 -52.22952783
107                179.7742 169.77419643
108                194.7235 -25.27650462
109                180.9427  81.94269580
110                178.5424 -52.45758913
111                143.3212 -24.67880416
112                190.1875 -62.81252153
113                196.2499  52.24992323
114                199.8954   7.89535361
115                193.0806   9.08063430
116                208.7241 -28.27590220
117                176.5874 -45.41262588
118                184.1824 -16.81763890
119                194.6021 -26.39794351
120                179.7775   3.77745491
121                188.3021 -61.69787822
122                185.9419 -31.05811273
123                187.3237 -60.67626892
124                212.9333 -52.06673780
125                172.3272  -9.67280192
126                210.4094 -15.59064243
127                184.2467 -39.75330781
128                183.6425 -19.35746454
129                167.1332  15.13324647
130                192.1762 -42.82379517
131                184.6816 -58.31844287
132                197.1634 -33.83656631
133                193.5372   6.53724326
134                181.3286 -44.67143441
135                188.6014 -53.39856105
136                181.9545   6.95448272
137                184.0454 -58.95462177
138                186.8010 -63.19899583
139                181.1691 -29.83091212
140                166.8136  -4.18636905
141                208.8650 -30.13499025
142                207.7348 -28.26518647
143                176.0572   5.05718255
144                180.9885  56.98848855
145                188.8961 103.89609404
146                208.3280 -36.67196533
147                173.0629 -27.93710686
148                171.0069 -28.99312071
149                186.3166 122.31658368
150                198.3987 -32.60134184
151                173.6763 -32.32366443
152                169.1280 -16.87196708
153                193.3836 -23.61640378
154                174.9219 164.92189634
155                189.2280 -56.77202144
156                172.3611 -25.63890718
157                185.7314 115.73136919
158                182.2797 143.27970954
159                198.6758 -16.32421456
160                145.4578 -26.54220296
161                173.6496  59.64963644
162                192.1987 -42.80134220
163                172.0659 -40.93409587
164                166.7477 -18.25226358
165                186.4369  46.43686194
166                188.1191 -72.88090276
167                174.6902 -10.30975004
168                183.1563 -42.84374762
169                186.9809 -57.01906098
170                188.6390 -70.36101278
171                144.4708 -26.52920439
172                184.4700 -44.52996525
173                169.6853 -25.31467869
174                227.4575  38.45746606
175                180.8101 -20.18987980
176                196.9274 -13.07264816
177                185.3367 -49.66328303
178                190.2724 -66.72756016
179                172.8997 -43.10027511
180                194.5700  20.57001254
181                191.1139 -63.88609084
182                185.3094 159.30935393
183                194.8883 -24.11167768
184                209.8541 -19.14594920
185                273.3517  68.35168213
186                175.3586 -28.64141131
187                169.6920 -24.30801923
188                185.5586 -58.44142399
189                182.6982  87.69817563
190                205.5281 -53.47193294
191                209.2159 -53.78406472
192                180.7111  67.71108496
193                188.1162 -61.88376168
194                197.2893 181.28926480
195                221.1917 165.19166305
196                186.6547 -49.34525900
197                180.6140 -37.38600147
198                176.6680 -28.33203860
199                173.0149 -33.98509041
200                180.2238 -29.77618031
201                177.3467  -7.65331974
202                158.2855  27.28552940
203                183.1831 -59.81690595
204                202.9111 -56.08888937
205                182.5583  27.55830924
206                171.9459 -30.05405254
207                163.0004  13.00039820
208                193.8389  36.83888074
209                193.2372 -68.76278926
210                185.5592 -27.44077161
211                186.7744 -35.22557796
212                177.6464  72.64638731
213                181.6034  -8.39663039
214                185.7544 -20.24557335
215                191.6504 -40.34959813
216                183.2115  21.21154485
217                161.2910  11.29095445
218                218.9534  19.95335841
219                160.3630 -18.63703235
220                188.7604  36.76037631
221                155.2956  -1.70439661
222                190.7069  60.70693503
223                195.5329 -47.46709829
224                112.5982  26.59818470
225                187.7047 -35.29525766
226                171.5951 -25.40487088
227                235.8983 217.89834985
228                190.5718  19.57183618
229                167.1999  -2.80006123
230                153.9808  51.98080848
231                136.6657  -5.33425971
232                191.1815  81.18153768
233                185.4721  84.47208067
234                191.4051 -52.59490720
235                162.5787 122.57870149
236                187.4938 -56.50622887
237                168.5126  -9.48744074
238                183.0431   4.04306034
239                173.3794 -36.62061970
240                170.8484  96.84841443
241                175.3893 -56.61073979
242                176.5937 -27.40627861
243                199.1647 -34.83525461
244                170.7648 -23.23522210
245                176.2578 -63.74222112
246                207.5146 -37.48542693
247                180.7858 -18.21421665
248                180.6195  80.61946995
249                160.2632  46.26315775
250                183.7634 111.76338937
251                189.2722 -55.72783120
252                194.4940  15.49400576
253                190.2508 -55.74916254
254                159.3232  40.32321114
255                180.2598  -3.74018581
256                129.9238  84.92376242
257                204.1007 -14.89926913
258                174.8963 122.89625173
259                181.1308  73.13075084
260                174.7507  99.75069511
261                173.6217 -35.37833101
262                187.7648 -74.23521857
263                188.6814 -72.31856262
264                192.1243 -14.87567826
265                162.9837 102.98372944
266                179.9839 154.98389116
267                194.0627 -32.93729021
268                246.8892  24.88924349
269                176.0133 -23.98671108
270                193.8695 -29.13049373
271                203.6688 -55.33119472
272                191.3342 -53.66577870
273                144.2192   4.21920265
274                157.5565 -15.44346133
275                179.8265 -47.17349755
276                188.8036 -60.19641036
277                167.3648 -10.63520887
278                187.1353 -21.86468276
279                197.7902 -62.20975223
280                183.7596 -28.24041902
281                176.4421 -62.55785116
282                193.9597 -18.04032390
283                189.0964 -65.90361427
284                190.6310 -44.36902761
285                209.3604 -53.63963072
286                251.3405  31.34047300
287                188.2775  27.27753804
288                185.7962 -59.20375996
289                186.6873 -37.31270863
290                163.2531 115.25308909
291                193.7026 -39.29736970
292                198.1626 -21.83738162
293                167.7573 -29.24273907
294                193.6063 -28.39374342
295                158.6079 -12.39212999
296                181.2565 -33.74345373
297                171.3460 -42.65398379
298                169.6034 -20.39655616
299                162.1474 140.14743955
300                163.5939 -16.40614470
301                172.2786  35.27856407
302                192.7429 112.74285207
303                189.6309 -55.36907991
304                188.5050 -36.49495313
305                187.8593 -64.14071431
306                185.2709 -32.72913178
307                190.7397 -61.26028657
308                168.9962 -22.00378361
309                229.9962  62.99620218
310                196.0094 -34.99059716
311                170.7943 -19.20573414
312                234.3437  76.34366366
313                181.1607 -44.83930660
314                189.2342 -52.76576864
315                181.2277  -3.77232782
316                168.0452 -26.95481720
317                181.7239  31.72386676
318                191.7526 -70.24740440
319                186.9905 -73.00946318
320                190.0100 -66.99003547
321                162.2654 -27.73463258
322                191.3041 -51.69585595
323                182.5775 -35.42254007
324                196.2941  22.29413211
325                171.2678 -16.73215618
326                181.6186 -28.38140692
327                187.5863 -27.41374393
328                181.7994 -59.20061077
329                158.4126 -30.58743696
330                184.3761  -5.62390563
331                167.4785 129.47848396
332                210.0228 -17.97721374
333                182.3969  30.39690673
334                189.4595 -66.54047701
335                204.3732 -52.62681532
336                175.4933 -62.50671393
337                215.5782  76.57815459
338                190.6058 -56.39415473
339                177.4277 136.42768739
340                193.9932  70.99322680
341                191.4775 121.47750760
342                182.7205  63.72051265
343                152.9529  16.95288421
344                168.6697  59.66971051
345                189.9084 -57.09156594
346                182.3364  -2.66356603
347                190.0973 146.09728684
348                136.1964  60.19639884
349                199.4569 -64.54309337
350                180.3970 125.39701005
351                180.0075 151.00749495
352                186.9861 -40.01394460
353                180.5926 -35.40737410
354                194.2681  36.26814014
355                179.2377 107.23773785
356                183.0386  45.03857021
357                150.7733 -22.22672254
358                189.9519  21.95187695
359                187.0638 -63.93615529
360                244.1787  21.17874054
361                150.0270 115.02696218
362                187.9553 123.95526253
363                186.8808 -43.11920955
364                209.7466 135.74664400
365                184.4727 -37.52726274
366                173.2020 -55.79798266
367                183.8145 -60.18554141
368                180.5528 100.55275561
369                194.0864 -28.91356295
370                219.4307 153.43071713
371                193.6840 -13.31599750
372                192.8425 -17.15754774
373                186.3334 -48.66663705
374                195.7557   2.75573363
375                189.8343 -45.16566834
376                217.7943  24.79425457
377                197.2843 -56.71566424
378                246.2103  88.21026682
379                191.9109 -37.08907220
380                157.0964 -13.90356870
381                156.1886  61.18858185
382                198.4690 -26.53095858
383                174.6189 -54.38114673
384                142.5971 112.59711021
385                189.3397 -26.66027998
386                183.3241   7.32411598
387                181.5754 -36.42459490
388                187.7683 -61.23174117
389                177.1352 -50.86484467
390                180.2878 126.28782769
391                194.6544 -26.34558786
392                191.8503 -54.14970694
393                208.1095 -28.89048578
394                186.8871 -36.11291362
395                159.0108  17.01078175
396                200.9251   8.92509261
397                189.0367 179.03674205
398                181.0981  46.09810794
399                204.1949 -11.80512909
400                219.3583  14.35825318
401                191.1634 -44.83659084
402                209.9234  -8.07660128
403                187.6074 -28.39258621
404                194.6935  28.69349359
405                185.6320 -49.36803066
406                179.2144 -31.78562170
407                185.9508 -60.04922173
408                203.1461  53.14607801
409                188.4862  96.48617073
410                167.4700  -6.52999424
411                191.9812 141.98116243
412                222.5672  -4.43277322
413                179.5212 -10.47879544
414                186.7359 -28.26410660
415                139.4284  37.42840051
416                164.0750  93.07499371
417                183.0741 -55.92588705
418                184.5127 -13.48726788
419                183.4923 114.49234502
420                190.2523 -63.74772035
421                182.9375 176.93746003
422                193.9136 134.91358159
423                179.8329  29.83287267
424                199.0061 184.00614319
425                131.4035  -6.59648652
426                188.1056 -49.89436200
427                144.1122  43.11221182
428                195.6758   1.67577543
429                201.7207 -20.27933436
430                172.1935 -30.80645067
431                183.1333 129.13330513
432                186.8061 -12.19389861
433                142.9650  -5.03504859
434                179.3270 -39.67304162
435                194.0154 -38.98460533
436                184.7939  10.79388534
437                186.3668 -37.63321501
438                212.1309  -5.86911487
439                135.5865 -20.41345297
440                109.7161  79.71614455
441                193.8518  53.85184208
442                200.6283 -27.37174543
443                146.6774 -25.32258431
444                184.0360 -41.96404405
445                202.6584 -21.34155122
446                191.3212  45.32118332
447                208.4632 -32.53682739
448                208.7872 -15.21275892
449                162.2201  63.22011606
450                113.9604  30.96037587
451                196.9679  74.96791455
452                164.1520   5.15195517
453                173.3597 -41.64033370
454                180.9953 -14.00474513
455                182.5038 142.50382976
456                185.5267 -46.47334980
457                165.3585 -76.64147949
458                188.2986 -40.70139066
459                209.1147   1.11471119
460                186.2993 -42.70066663
461                212.4730  24.47297850
462                171.8832 -27.11680136
463                194.3038  31.30376777
464                168.5712  40.57123882
465                191.0244  20.02442354
466                177.9043 -59.09571605
467                197.4429 165.44292645
468                182.5630 -47.43696713
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1024               197.3751  80.37509261
1025               185.1421 -28.85791550
1026               149.1035  30.10348234
1027               189.9243 -58.07566563
1028               213.4463  18.44629867
1029               188.1927 112.19274343
1030               192.6195  55.61949661
1031               214.0022 -10.99783330
1032               187.2153 -81.78466324
1033               195.3441  -8.65589104
1034               162.1682 132.16818496
1035               183.6987 -28.30126738
1036               202.8160 -60.18399418
1037               193.0669 -34.93312094
1038               180.2191   7.21914437
1039               185.0472 -53.95277461
1040               170.5653 -14.43466743
1041               204.9342  -0.06578743
1042               187.5009 -62.49909140
1043               174.6155 -58.38446466
1044               198.1825  62.18249305
1045               224.8631 134.86308880
1046               193.2959  13.29591917
1047               178.3307 -55.66933239
1048               156.5018   4.50179411
1049               181.4743  76.47425331
1050               224.3844   0.38435643
1051               167.9903 -23.00971279
1052               190.0261 -55.97392681
1053               191.4573   5.45732312
1054               193.7462 -34.25375438
1055               167.9964 -26.00364830
1056               158.1896 -32.81037499
1057               187.0355 -31.96447802
1058               212.6569  36.65694390
1059               216.2680  54.26800287
1060               195.4074  41.40738004
1061               157.2618  -7.73822369
1062               190.9272 -56.07279870
1063               185.6436 -11.35643225
1064               186.5549 -26.44511963
1065               196.5490  32.54897802
1066               183.4922 -52.50779890
1067               181.1714 -56.82859499
1068               189.4269 -63.57305161
1069               214.5194  -0.48060214
1070               186.2469 -55.75307688
1071               185.9472 -57.05275795
1072               184.2534 -17.74660110
1073               196.2582  90.25820694
1074               193.6800 -18.31996659
1075               193.5451  30.54510604
1076               192.2104 -42.78959920
1077               147.1794 127.17943117
1078               170.5451 -23.45491785
1079               186.3839 -39.61609275
1080               187.9581 -32.04190015
1081               208.6510  10.65095927
1082               218.7945  -7.20549056
1083               187.5837 -60.41627575
1084               206.5515 -17.44850102
1085               180.6775 -34.32246223
1086               171.8735 -28.12645178
1087               151.5216 -31.47844519
1088               185.9477 -72.05231527
1089               219.8795  65.87951943
1090               212.1493 -53.85073187
1091               220.7241  24.72407212
1092               189.5461 -60.45393648
1093               189.9323 -22.06774925
1094               119.0446   7.04459616
1095               186.1498 -16.85016134
1096               181.0516  55.05161183
1097               180.1412 177.14115157
1098               187.0146 -46.98535271
1099               192.4125  -4.58749470
1100               205.8861 -52.11392456
1101               180.5537 -42.44633542
1102               182.5213 -82.47865683
1103               198.0920 -65.90796276
1104               159.9432  30.94322770
1105               221.3999  -4.60014756
1106               182.5516 -55.44839299
1107               178.0849   4.08487076
1108               204.2947 -14.70531969
1109               184.3918  49.39181082
1110               184.4831  17.48310201
1111               150.4709  71.47087619
1112               160.2964  -6.70362224
1113               200.0368  19.03675227
1114               208.2886  42.28861653
1115               192.2656   2.26556731
1116               177.6054 -51.39461921
1117               180.0617 -38.93831971
1118               183.9890  77.98903197
1119               186.1534 -46.84662423
1120               192.0867 -37.91328769
1121               229.9352  50.93523364
1122               219.0526  22.05262375
1123               196.1061  40.10609314
1124               184.2713 -44.72871468
1125               193.7163 -35.28373523
1126               202.9715 -11.02854507
1127               179.5953  10.59527420
1128               187.7546 -66.24541699
1129               195.5408 -34.45924534
1130               187.2763 -44.72368452
1131               196.8481 -24.15191238
1132               183.3791   4.37911536
1133               184.4239 115.42390777
1134               152.3148  38.31484764
1135               190.8331 -55.16694505
1136               208.4226 -53.57738029
1137               175.2421 -32.75789745
1138               122.4381  92.43812631
1139               176.6475 156.64750035
1140               175.1088  61.10881650
1141               216.3802  -9.61975987
1142               254.3974  36.39738393
1143               184.7623  -3.23765542
1144               183.0714  35.07140467
1145               179.8754 -32.12460647
1146               196.9684  50.96843977
1147               170.2944 -20.70560127
1148               168.9004  58.90044444
1149               170.4909 -23.50910351
1150               184.6776 -43.32243862
1151               151.3338 -10.66617608
1152               183.6356 123.63560488
1153               170.9943 -36.00566920
1154               190.1504 -45.84959899
1155               198.1208   5.12075545
1156               193.9745 -61.02552802
1157               183.3349  44.33490127
1158               186.8464 -58.15363944
1159               181.2932  -6.70678890
1160               194.4036 150.40363358
1161               184.0826 -31.91740771
1162               119.7377   3.73768588
1163               218.2266  71.22662552
1164               197.0146 107.01458030
1165               178.9850 -54.01500490
1166               179.7397 -32.26031970
1167               163.5240 -12.47604532
1168               180.8764 -41.12358591
1169               169.5800 -44.42003216
1170               180.4368 145.43681845
1171               182.9045 -56.09548577
1172               165.8314  -7.16863209
1173               178.3687 -51.63131875
1174               163.7032 -21.29676309
1175               178.3832 -57.61675234
1176               207.8133 -47.18665493
1177               158.2615  -5.73848685
1178               133.0513 115.05130234
1179               189.1653 -54.83472525
1180               181.1483  68.14827327
1181               177.4611 -29.53886784
1182               177.1186 -60.88138003
1183               197.3099 -28.69007833
1184               152.1414  69.14144378
1185               190.8657 -54.13431184
1186               151.4337  14.43374729
1187               177.8383 -85.16171222
1188               197.2302 -65.76979402
1189               190.4421 -55.55789790
1190               165.6967  44.69674467
1191               236.8332  63.83324303
1192               160.2445  53.24451774
1193               200.3543 155.35425452
1194               147.7558   6.75580658
1195               110.2399  73.23985339
1196               173.1783 -29.82165410
1197               188.3605 -71.63947462
1198               196.8039 136.80390934
1199               195.8168  83.81682525
1200               231.1741   5.17408556
1201               157.9724   3.97242624
1202               191.0080 -58.99204816
1203               197.7853 176.78527819
1204               180.3171 -57.68290619
1205               184.9063 -30.09368696
1206               178.3797 -60.62026588
1207               187.2008 -46.79920381
1208               207.8101 -48.18990524
1209               187.6407 -47.35928056
1210               182.0681 -31.93191840
1211               188.1336 -48.86644356
1212               190.4041 -22.59589428
1213               181.2644 -40.73556998
1214               177.5952 -59.40477539
1215               190.4228 -59.57717750
1216               196.1742 -66.82581079
1217               174.9428 -62.05722357
1218               203.9459 -60.05409353
1219               172.0913 -43.90867318
1220               197.0702 -50.92984470
1221               122.9946  -5.00535087
1222               191.2638  69.26377890
1223               183.0800   0.08003369
1224               175.1470 -63.85297703
1225               186.0519 -26.94812219
1226               228.7728  98.77279135
1227               195.6430  33.64303185
1228               172.8626  -9.13744609
1229               187.8451 -24.15494907
1230               187.5515 -49.44851715
1231               186.3992 -62.60083396
1232               185.7614 -54.23855343
1233               206.9980 -42.00203712
1234               157.9647  -7.03532521
1235               180.7069 -34.29309702
1236               209.6505 -17.34949541
1237               231.8182 171.81820417
1238               198.3516 -19.64844666
1239               210.8287 -13.17134615
1240               176.6522 132.65215136
1241               169.6090 -26.39101720
1242               170.7095 -35.29049850
1243               194.8171 118.81710546
1244               201.2082  41.20821574
1245               189.2786 -63.72136531
1246               185.4449  24.44485935
1247               162.8423   2.84231166
1248               186.1514 -74.84864243
1249               182.0739  16.07386148
1250               177.4904 -28.50962580
1251               190.3736 150.37360921
1252               185.0394 175.03941250
1253               193.4372  38.43717277
1254               187.2076  66.20763120
1255               181.7153  63.71528393
1256               186.7692 -10.23083480
1257               186.8975 -36.10249618
1258               172.0293 -23.97072636
1259               194.2796  36.27956876
1260               188.5647 -50.43525736
1261               179.9857 106.98567009
1262               182.4675 -20.53246115
1263               183.7192 -32.28075259
1264               149.9687 -40.03131317
1265               177.1635 -56.83648752
1266               183.7962 -54.20382540
1267               187.1063  12.10633749
1268               191.8681  31.86810427
1269               134.3397 -17.66032765
1270               162.5368  39.53683924
1271               179.4743 130.47427924
1272               192.8758 -45.12418583
1273               156.6422 -29.35782292
1274               207.9295  45.92945076
1275               217.0380 169.03804019
1276               184.5881  32.58807464
1277               199.5501  75.55013850
1278               174.1908 134.19076821
1279               187.2084  66.20842440
1280               188.2747  43.27470111
1281               165.0785 -22.92147380
1282               177.2494 -63.75057923
1283               193.1371 -43.86286233
1284               178.5222 -56.47777286
1285               190.6090  18.60896725
1286               190.1310 -65.86898647
1287               178.5297  44.52965223
1288               173.2197  91.21972801
1289               190.3014 -36.69858909
1290               180.1040 -49.89602023
1291               188.5805 -50.41945759
1292               161.8971 -13.10287055
1293               187.8626 -29.13744511
1294               190.5409  85.54087943
1295               190.0595 -55.94045489
1296               185.6090   9.60900412
1297               145.2911 -28.70890526
1298               185.8656   4.86561788
1299               182.3840  93.38401005
1300               142.8444  -4.15555604
1301               163.0106   7.01057984
1302               180.7837  54.78372645
1303               178.5356  22.53562104
1304               185.9689 -42.03106441
1305               206.0474 -17.95259375
1306               155.3518 135.35183933
1307               191.0795  31.07953524
1308               170.0910 -12.90902653
1309               206.8285 -50.17149994
1310               181.4232  74.42324954
1311               207.7133 -31.28665851
1312               193.1891  26.18910841
1313               216.0686  -5.93142379
1314               183.9189 144.91892591
1315               182.3580  14.35799347
1316               169.8647 -24.13525614
1317               206.1629  21.16290143
1318               215.2235  -1.77648091
1319               164.0800 123.07995711
1320               188.2205 -26.77945062
1321               185.4168 145.41684386
1322               171.8392  79.83916929
1323               159.0431 -10.95690964
1324               192.1239 -46.87611837
1325               192.4656   4.46564798
1326               190.6626  31.66264272
1327               196.4304  31.43035633
1328               181.2234  33.22335777
1329               160.8243  90.82429552
1330               190.4232 -48.57684593
1331               185.0152 -29.98482657
1332               183.0071 -54.99293663
1333               177.3256  26.32563886
1334               138.7833 108.78334598
1335               212.6964  34.69637644
1336               218.2243  78.22430598
1337               184.8166 -39.18342751
1338               186.1587 146.15872390
1339               206.7223 159.72232497
1340               172.4040 -23.59596571
1341               181.2296  10.22962314
1342               190.0144 -60.98558543
1343               197.9100 -39.08995030
1344               208.9667 -28.03325167
1345               168.7412  67.74122603
1346               180.8869  54.88688662
1347               188.4114 -60.58857352
1348               186.5182 -33.48182711
1349               182.5445 -63.45552804
1350               188.4578 -60.54217537
1351               180.6169  70.61685858
1352               169.4288 -17.57116819
1353               209.3168 -24.68324943
1354               192.7585 -37.24150743
1355               236.9031  12.90311567
1356               211.2667 -54.73332483
1357               188.8860 -23.11403034
1358               189.6900 116.69000812
1359               144.5862  46.58619320
1360               186.0192 -60.98077408
1361               184.0094 -25.99063789
1362               187.3061 -61.69394709
1363               206.4552 -53.54479474
1364               182.8391  55.83909424
1365               237.3670  48.36703325
1366               195.0651  75.06511258
1367               185.4196 -28.58038899
1368               190.3216 -26.67836908
1369               183.2741  -4.72592306
1370               213.1217  16.12174013
1371               177.1369 -59.86313557
1372               182.1698 -15.83021936
1373               180.2014 160.20139507
1374               169.8609  16.86089006
1375               197.8221 -14.17786777
1376               191.2740 -58.72596255
1377               179.2005   3.20051969
1378               118.4132   8.41324007
1379               185.5104 -69.48955636
1380               175.2128 -52.78722682
1381               189.1010 -25.89900686
1382               187.5186 -59.48137646
1383               188.7349 -63.26510958
1384               184.8264 -17.17363883
1385               185.9355 -29.06446706
1386               155.0243  40.02430158
1387               141.4823  37.48230234
1388               206.7744 140.77435153
1389               195.3881  35.38811117
1390               170.9070 -24.09300251
1391               179.5889 -36.41112367
1392               181.7438  39.74377086
1393               158.9160  21.91601459
1394               168.7411  24.74108543
1395               187.8071 -49.19285809
1396               182.7094   8.70939338
1397               176.7153 -21.28466486
1398               181.4709  41.47092230
1399               222.8076  35.80759224
1400               188.1550 -58.84497914
1401               187.3827  -2.61727836
1402               188.2465 -46.75354739
1403               199.0689  15.06887086
1404               192.7671 -46.23293671
1405               185.7647 -45.23526730
1406               174.8323 -29.16774527
1407               197.4106 -31.58940980
1408               182.5187 -52.48125945
1409               183.6148  -5.38522096
1410               192.1800 -23.82004376
1411               165.1736   4.17364634
1412               212.9140 -13.08603394
1413               185.3655  -4.63453081
1414               179.8301 -28.16994053
1415               191.0315  -1.96850636
1416               170.4233  -3.57668261
1417               190.0949 -63.90507102
1418               188.2595 -56.74052860
1419               183.3083 -17.69171802
1420               187.8173 -56.18271103
1421               184.3180 -31.68199677
1422               181.0862 -35.91384732
1423               183.8236  20.82362969
1424               173.8971 -17.10286690
1425               196.4691  78.46909844
1426               195.3249  13.32494357
1427               190.1527 -26.84732586
1428               196.0329  40.03291422
1429               183.8215 -49.17853482
1430               182.3407  -2.65929463
1431               130.1327  18.13268183
1432               182.8490  33.84904076
1433               166.1029  -1.89707791
1434               180.6186 146.61857344
1435               166.6169  96.61692264
1436               187.9348 -41.06515808
1437               125.3004  20.30039605
1438               192.3947 -39.60525877
1439               139.8912 111.89124470
1440               191.3345 173.33447573
1441               168.9302 127.93020521
1442               186.8264 -62.17362954
1443               206.0748 -24.92523081
1444               226.0276   2.02764760
1445               192.3603 -58.63971278
1446               187.7179 -38.28211669
1447               116.1272  86.12723523
1448               181.4536  93.45357298
1449               209.7300 -23.26995361
1450               155.0106 -32.98944575
1451               213.3290  98.32898924
1452               148.0845  31.08451732
1453               159.0600  10.06001539
1454               191.8275 -21.17254445
1455               215.1169  97.11686200
1456               127.3412  -4.65877726
1457               192.2862   4.28620545
1458               192.5608 118.56082965
1459               158.6358  25.63579959
1460               184.3713 -12.62868667
1461               183.7575   6.75753196
1462               191.7967 -54.20334828
1463               186.5353 -37.46473182
1464               193.6177 -33.38225641
1465               182.6127 -54.38729293
1466               165.7537 -33.24632508
1467               165.3864 -23.61361229
1468               150.6192 -19.38079897
1469               178.1761 -52.82393762
1470               167.4251   0.42514646
1471               178.3519   7.35187097
1472               181.0520  19.05198999
1473               180.3889 110.38888284
1474               164.2728 -16.72716578
1475               190.8370 -64.16298335
1476               168.2115  49.21148861
1477               189.2662 -32.73379182
1478               224.4284  -1.57164687
1479               174.0541 -21.94589747
1480               173.6772 -59.32275623
1481               192.3694 162.36943864
1482               187.0431 -39.95687760
1483               213.4118  76.41181586
1484               179.1708 -58.82924931
1485               187.4197 -56.58029409
1486               156.3400 105.33999203
1487               205.5367 -38.46331508
1488               197.1535 187.15350987
1489               185.6972 -45.30281280
1490               180.2996 -48.70039601
1491               186.6719 -17.32814694
1492               166.7274 -20.27261730
1493               176.5412 -18.45879039
1494               189.3918 -68.60815577
1495               174.6776 -26.32244194
1496               182.1396  26.13960832
1497               210.7901 104.79008091
1498               176.6667 -50.33332036
1499               182.3399  -4.66011348
1500               214.1228 -49.87723865
1501               186.0654 -54.93458764
1502               191.0387  24.03866525
1503               190.1765 -24.82350577
1504               186.4995 -52.50050718
1505               190.3478 -61.65219662
1506               191.6380 -24.36200972
1507               183.2061  71.20611901
1508               192.4412  37.44123240
1509               186.7703 105.77031971
1510               197.0581 107.05813203
1511               172.2945 -41.70545331
1512               181.1509  72.15089946
1513               179.9423 -57.05772755
1514               184.3235 -11.67652353
1515               185.0390 -34.96097977
1516               137.7471  43.74707274
1517               191.3505  25.35050996
1518               189.7425 -54.25753341
1519               205.0417   6.04170913
1520               176.7760  71.77603940
1521               178.3611 -60.63889638
1522               204.5786 -17.42136801
1523               194.9616 -13.03839453
1524               208.1934 -37.80661573
1525               187.1031  49.10308123
1526               181.9230  29.92299530
1527               196.4974 -38.50264017
1528               192.1697 -47.83033377
1529               185.5263 -56.47369727
1530               157.5298  14.52977885
1531               190.0279 -65.97207616
1532               191.1217 -55.87828408
1533               183.6430 -72.35700433
1534               156.2287 -19.77134793
1535               188.2419 -65.75808255
1536               192.2066 -49.79339109
1537               196.3131  13.31313571
1538               188.9500 -28.04997254
1539               183.4430 -29.55701321
1540               186.5903 -61.40968837
1541               196.8282 -58.17179000
1542               120.0494   1.04935717
1543               207.2623 102.26226698
1544               193.4422  78.44224074
1545               160.5731  30.57314222
1546               190.1982 -52.80181621
1547               191.8908  -6.10920343
1548               171.7059   3.70591275
1549               185.6655 -21.33449515
1550               203.2449 -16.75508260
1551               182.5163 -36.48370505
1552               174.0696  53.06955659
1553               184.1867  13.18668326
1554               188.1600 -53.84003572
1555               234.8361   8.83607892
1556               190.8585  26.85854598
1557               187.4585 -58.54148246
1558               186.4312 -40.56880504
1559               182.9092 -33.09079133
1560               208.3453 -52.65469056
1561               184.8337 -34.16634310
1562               108.5557  55.55569560
1563               175.2048 -83.79515958
1564               168.4900 -26.50995558
1565               193.7567 -26.24326217
1566               200.5605 -19.43949332
1567               138.8574 -16.14259631
1568               153.4055   4.40554832
1569               185.9142   8.91415289
1570               106.5264  86.52640155
1571               164.9887  45.98865080
1572               182.3646  20.36463519
1573               125.1134  -4.88658272
1574               192.2674 -33.73257690
1575               163.6963  -8.30370102
1576               171.1017 -28.89834795
1577               186.7042  61.70415285
1578               113.1042  28.10418970
1579               194.8359 -21.16409599
1580               206.2896 -55.71039852
1581               188.1771 -64.82286517
1582               178.8665 -20.13348944
1583               167.8463 131.84634155
1584               204.6423 -58.35765663
1585               189.3665 -25.63349439
1586               186.9286 -46.07137304
1587               192.1423 -14.85771980
1588               119.4016   3.40164608
1589               209.2286  -5.77141339
1590               181.1448 122.14484351
1591               187.4372 -12.56277672
1592               184.9848 -73.01520966
1593               163.3380 -19.66200346
1594               187.3307 -56.66926944
1595               194.7058  33.70583282
1596               183.8515 -32.14850443
1597               193.4182 -37.58178248
1598               187.3139 -57.68611715
1599               148.4285 -29.57152976
1600               189.4781 -54.52188433
1601               201.8943 -55.10569322
1602               163.3286  93.32864389
1603               105.5174  85.51737338
1604               179.8954 -27.10457296
1605               187.2259 -49.77406239
1606               215.0947  64.09468572
1607               189.2792 127.27921059
1608               194.6622 -24.33776189
1609               193.8810  45.88099941
1610               180.0793 155.07926844
1611               161.9285 -35.07145179
1612               114.2319  27.23193642
1613               204.0741 -14.92590011
1614               223.2229  15.22293524
1615               150.2904  17.29037173
1616               193.4397 -36.56027703
1617               186.8724 -42.12757812
1618               187.3127 -30.68728263
1619               191.1369 -51.86305912
1620               220.4314  12.43140976
1621               170.5153 -29.48474601
1622               166.7927  71.79271733
1623               180.9034 -60.09661639
1624               189.4437 -59.55631662
1625               198.7690  41.76896192
1626               227.8295  21.82953030
1627               175.0809  -2.91911129
1628               191.6742 -28.32583455
1629               170.8609 150.86093702
1630               189.7670 -64.23295717
1631               191.8512 -52.14877668
1632               193.6641 -73.33590230
1633               196.5280  33.52800216
1634               185.8282  32.82819345
1635               180.5394 153.53939685
1636               166.9572 -28.04280235
1637               194.5141 -37.48585492
1638               173.4420 103.44200979
1639               191.5394 -52.46062129
1640               176.7201 117.72008830
1641               184.4315  -8.56851055
1642               176.1480  -4.85196733
1643               248.3642  27.36419218
1644               215.7987 187.79869801
1645               178.3676 -33.63244800
1646               192.4899 -42.51010515
1647               184.9605  10.96050411
1648               187.2417 -25.75830737
1649               164.3765 -10.62346059
1650               179.8775 -61.12246780
1651               181.4799  55.47988468
1652               182.5333 -35.46673751
1653               153.9371   6.93713243
1654               189.0000 -41.99997435
1655               158.0188 -16.98115784
1656               194.5210 -26.47896548
1657               155.9427  -9.05726049
1658               217.3722  63.37217364
1659               187.5298 -57.47024438
1660               174.0913 -53.90873370
1661               181.7298 159.72981622
1662               208.0224 -15.97758092
1663               182.8027  66.80274259
1664               214.1501   5.15011387
1665               190.7641 -48.23587757
1666               207.9882 -53.01184737
1667               173.1295  72.12949540
1668               204.0668 -17.93319501
1669               191.9834 -36.01657662
1670               143.9214  -9.07859323
1671               188.7614 -30.23858496
1672               177.3373 -84.66266020
1673               190.6184 -62.38161959
1674               132.7074 -16.29262083
1675               181.9417 -31.05827638
1676               170.0642 -12.93582604
1677               208.3443 -15.65570435
1678               204.8842   3.88422066
1679               187.3242 -58.67577843
1680               181.2433  46.24328192
1681               213.6648 -12.33519688
1682               185.6615 -40.33846952
1683               175.4402  16.44017630
1684               180.6899  74.68994193
1685               182.5438  -9.45624025
1686               162.8809  22.88092644
1687               180.2197 -27.78031959
1688               196.1367 -29.86328637
1689               186.8974   7.89737656
1690               191.1724 -38.82762975
1691               183.8615 -52.13854851
1692               174.3431 -27.65690823
1693               181.1219 -32.87808311
1694               223.8142  42.81424407
1695               177.0653 -23.93470192
1696               182.4785 -26.52151331
1697               184.4175 144.41751649
1698               194.1680 151.16795081
1699               200.2555 -19.74453917
1700               125.7500  -7.25001215
1701               189.4135  62.41354664
1702               182.1260 -32.87396742
1703               192.0125 -39.98752904
1704               182.5803 -61.41974315
1705               181.2712  27.27123231
1706               189.6371 -71.36292284
1707               184.4153  46.41530657
1708               202.5998 -27.40018955
1709               162.3294   5.32936396
1710               190.8051 -22.19491319
1711               178.2698  73.26979044
1712               194.6351   6.63510859
1713               184.6509 -33.34909260
1714               193.7289 -64.27107366
1715               207.4437 -55.55626880
1716               194.7298 -23.27020495
1717               161.1422  49.14216011
1718               159.7045  70.70450879
1719               191.4128 -48.58721573
1720               187.1215 -47.87845187
1721               183.4169 -51.58312863
1722               210.1550  12.15498607
1723               183.4463 -64.55366693
1724               176.9041 -58.09593475
1725               203.5002 -24.49984902
1726               184.5497 -52.45025329
1727               186.4364 -54.56359095
1728               196.7964 -49.20363999
1729               202.8681 -16.13187678
1730               155.6150 113.61499524
1731               193.7545 -38.24548731
1732               188.0039 -54.99611216
1733               189.2366 -59.76338528
1734               177.1900 -59.80998635
1735               180.8632  64.86320279
1736               184.3036 -45.69643172
1737               187.0576 -53.94243279
1738               178.4179 -19.58208698
1739               190.6968 -57.30322398
1740               190.6345 -14.36552602
1741               133.8298  51.82979707
1742               193.2805  54.28053467
1743               182.2424 -53.75756346
1744               175.3459  86.34591179
1745               185.6317 -59.36829100
1746               179.2744 -58.72561909
1747               180.8092 -52.19079202
1748               192.1343 -37.86570362
1749               166.7490  10.74897509
1750               178.8599 -34.14014269
1751               179.9733 -38.02667648
1752               183.6477 -15.35233674
1753               200.0083  -8.99174140
1754               217.2507   7.25066637
1755               192.5266 -32.47336357
1756               198.6469 -59.35310064
1757               184.7132 -27.28678967
1758               207.2708 -40.72921902
1759               171.6941 -41.30588130
1760               211.1231  -5.87689606
1761               235.1711  10.17114758
1762               202.4957 -61.50433970
1763               187.1676 -35.83244344
1764               181.5965 151.59645690
1765               187.3060 -51.69400404
1766               170.3623 -21.63771772
1767               160.4226  -0.57736067
1768               186.5174 -35.48260767
1769               229.8804  50.88035629
1770               204.2400 161.23997306
1771               181.9206  54.92057702
1772               187.7169  -6.28309180
1773               176.4159  27.41587160
1774               207.9699 -42.03011025
1775               181.4940   4.49403309
1776               187.1803 -40.81969556
1777               141.7971  35.79709778
1778               197.4336 111.43360578
1779               183.1572 -19.84276918
1780               187.7767  -2.22334085
1781               186.3235  21.32353488
1782               191.3064 -32.69364139
1783               190.2224 -16.77763407
1784               190.7770 -64.22297693
1785               187.0255 -42.97446400
1786               204.3696 -43.63041477
1787               171.2353  55.23533730
1788               180.9874 119.98736759
1789               184.4902  -0.50977826
1790               116.4500  86.45001245
1791               184.9388 -30.06121671
1792               187.5893 -26.41071175
1793               155.5111  25.51105557
1794               110.1194  63.11941523
1795               194.1264 -46.87363787
1796               180.4480 -58.55199500
1797               199.9731 -12.02688417
1798               203.3853 -14.61467288
1799               187.9187 -33.08132252
1800               174.6989  13.69888817
1801               161.0217 -11.97834291
1802               165.0936 -13.90640466
1803               182.2502 141.25015349
1804               174.7750  -6.22496522
1805               173.8792 -26.12083980
1806               200.3132 -55.68676409
1807               183.8198 -70.18018196
1808               148.3225  55.32254166
1809               171.7658 -45.23415880
1810               182.1212  53.12124330
1811               197.1316 -33.86835425
1812               211.5130  53.51304493
1813               182.6478 180.64778014
1814               193.0784 -42.92161042
1815               233.6820  11.68202327
1816               207.0814 -57.91858330
1817               186.4863 -29.51367386
1818               184.7779 -16.22212776
1819               185.1758 -15.82418285
1820               208.0968 -34.90316714
1821               194.9648  24.96482137
1822               188.9456 -55.05443251
1823               182.4227   1.42267491
1824               227.2494  19.24940253
1825               207.5895  -6.41051003
1826               184.4581  17.45812002
1827               180.1283 110.12831988
1828               196.8614 156.86136870
1829               169.9334 -27.06655084
1830               187.5923  77.59231922
1831               198.4734  -1.52660450
1832               175.7867 -47.21332879
1833               195.1117   6.11172858
1834               162.8161  18.81605417
1835               220.1554 123.15536743
1836               213.0868 -39.91322477
1837               166.2393  -0.76074611
1838               188.2273 -45.77270649
1839               187.1368 -49.86321348
1840               188.8812 -65.11875958
1841               183.2515 -10.74848260
1842               189.0234 149.02341727
1843               204.2062 141.20620671
1844               139.3193  69.31934646
1845               164.9615  -3.03849091
1846               185.4543 -24.54571248
1847               181.2767 121.27669844
1848               145.2688  -0.73119392
1849               185.0893 -51.91074914
1850               184.9368  41.93682266
1851               230.5278  28.52783881
1852               187.2918 -62.70818901
1853               184.5422 -48.45777490
1854               224.8800  46.88004172
1855               180.5090 -59.49103536
1856               185.0814  30.08141902
1857               182.6110  48.61102513
1858               182.3001 152.30011795
1859               177.1992 -60.80080341
1860               181.8883  21.88831942
1861               181.3652  22.36520047
1862               181.5311 -29.46894763
1863               182.7899 -15.21012868
1864               191.9097 -27.09034308
1865               102.6741  82.67412350
1866               189.9769 -63.02308097
1867               191.2241   9.22412446
1868               181.8816 -22.11842380
1869               184.1553   3.15527996
1870               183.5672 -12.43281874
1871               131.3034  -8.69660676
1872               190.5896 -45.41038790
1873               164.8879 144.88790457
1874               179.7665   6.76654532
1875               114.1339  23.13388135
1876               173.5023 -14.49773993
1877               180.2373 125.23731799
1878               184.3837 134.38368672
1879               186.5225 -39.47745832
1880               202.4865   5.48653987
1881               181.7937 -46.20627697
1882               186.4922 -44.50778144
1883               187.4565   1.45652441
1884               183.9757 -55.02433629
1885               193.9987 -57.00131033
1886               210.9515  -9.04852882
1887               186.6751 -57.32492055
1888               189.8914 154.89138136
1889               148.7532 -19.24677223
1890               161.6254 -26.37460181
1891               185.4062  17.40623204
1892               186.7155 -48.28445569
1893               190.3014 -21.69858936
1894               171.5770 -27.42299799
1895               165.4722   2.47220433
1896               155.3491 -26.65090365
1897               194.6806  10.68063803
1898               165.2520 127.25199684
1899               213.3574  20.35739125
1900               176.6054 -62.39459772
1901               173.8112 -85.18884098
1902               187.4702 -55.52978177
1903               188.7792 -68.22082260
1904               187.5699 -56.43006351
1905               176.8795 -20.12046675
1906               161.6407 121.64072736
1907               180.8474 150.84736822
1908               189.4069 -68.59311965
1909               185.7317 -39.26834907
1910               184.2042 -69.79581391
1911               180.2817 117.28172116
1912               187.4182 -54.58179633
1913               169.0808  10.08082486
1914               196.6877 -60.31234467
1915               180.4675 156.46754916
1916               173.3254 -54.67455936
1917               167.1291 -26.87089857
1918               192.1798  62.17984329
1919               180.4514 -66.54860052
1920               192.1640 -34.83595207
1921               231.3032  41.30317255
1922               256.1916  41.19159209
1923               206.0058  17.00583394
1924               188.0548 -61.94524987
1925               181.5136 -46.48644057
1926               188.7980 -45.20198309
1927               185.0764 -36.92357608
1928               192.7372   2.73720640
1929               175.7083  66.70825019
1930               182.4039   7.40385685
1931               187.9793 -48.02068828
1932               179.7214 -51.27859325
1933               208.1899 -34.81008527
1934               213.0217 116.02167346
1935               189.9819 -56.01806422
1936               185.4543 -13.54569297
1937               231.0643   5.06430058
1938               189.8461 -68.15389988
1939               209.4663 -25.53366077
1940               209.6178  72.61783381
1941               208.7331  -9.26692958
1942               177.8729 147.87293413
1943               174.2006  47.20058634
1944               189.8627 -64.13732424
1945               193.9810 -67.01900888
1946               189.5649  31.56490389
1947               185.1560  71.15595609
1948               173.9178 -60.08221446
1949               162.8467  17.84671402
1950               178.7284  38.72839426
1951               194.8295  -5.17045661
1952               179.0780 -57.92196617
1953               188.3764  80.37637723
1954               186.5210 -56.47898318
1955               188.2588 -70.74116911
1956               167.9125 147.91253067
1957               186.2924 -35.70758309
1958               194.9988   9.99880999
1959               196.1984  24.19842291
1960               160.1787   4.17872462
1961               171.3927 -40.60730438
1962               200.9190 -42.08100247
1963               128.5167 -12.48333993
1964               179.7648 -54.23517897
1965               191.7191 137.71908656
1966               190.9024 -55.09758682
1967               180.1306  32.13059356
1968               217.5204 138.52042247
1969               190.5144  46.51443785
1970               185.6006  11.60057411
1971               220.0407  80.04073284
1972               207.4368 -44.56321440
1973               175.5658 -19.43417985
1974               204.0066 -16.99336922
1975               175.4853 -60.51473725
1976               167.8481  -2.15193036
1977               182.8748 169.87477552
1978               196.2345  32.23451895
1979               192.8654 -69.13464753
1980               185.5923 -25.40773715
1981               175.1700 -54.83001434
1982               187.6747 -42.32527370
1983               146.9579 -14.04209130
1984               232.5634  53.56336989
1985               184.0915 -43.90854271
1986               172.0735  42.07347040
1987               187.5062 -29.49380311
1988               202.6481 -44.35188795
1989               181.8620 -54.13800386
1990               186.7294  32.72942395
1991               218.9898  -7.01022136
1992               199.0320  50.03202799
1993               185.6104 -73.38958809
1994               204.3678 -27.63217402
1995               165.2447 -32.75532957
1996               185.5165 -59.48348716
1997               191.2295 -31.77054371
1998               209.5548  27.55475823
1999               194.6452  64.64523067
2000               200.2659 -20.73405255
2001               161.6156 -25.38443688
2002               170.5899  47.58990539
2003               187.0408 -60.95923249
2004               187.7245 -50.27548076
2005               191.6753 -42.32467501
2006               196.7127 -17.28731572
2007               184.6077  39.60768704
2008               187.9600 -45.03995128
2009               191.5201 -51.47992852
2010               188.4610 -60.53902257
2011               123.3716  12.37155610
2012               176.6385 -61.36154575
2013               199.2391 -21.76092105
2014               193.0535 -42.94648699
2015               207.5456  35.54563286
2016               189.7838 -58.21618548
2017               190.4420  30.44199631
2018               178.1334 -32.86658322
2019               176.2977 -30.70231423
2020               183.6131 -51.38686535
2021               112.1516  28.15164548
2022               186.9335 -57.06654540
2023               174.3574  15.35741244
2024               153.2721  -9.72794016
2025               189.1228 179.12279125
2026               188.4694 -41.53056704
2027               190.6371  38.63707293
2028               201.2465 -20.75351446
2029               158.4660 -27.53400398
2030               137.1314  55.13136286
2031               183.7318  29.73175801
2032               189.6086 -66.39139828
2033               218.6525  55.65247072
2034               182.0838  -1.91622134
2035               183.1781 -56.82190755
2036               157.6055  25.60554688
2037               181.5100  48.50996828
2038               196.0724  73.07242479
2039               185.8754 -55.12462353
2040               183.3556 -58.64438520
2041               179.1711 -60.82890545
2042               183.4218  12.42177367
2043               204.9757   1.97566867
2044               185.3478 -43.65215466
2045               233.2246 177.22463679
2046               219.4364  17.43640174
2047               201.9320  -7.06802598
2048               192.0310 -27.96903732
2049               186.0211 -30.97888573
2050               183.5112 -34.48879300
2051               173.1677 -55.83230281
2052               190.3331 -24.66688689
2053               175.6723 -29.32770975
2054               184.6381 -35.36189889
2055               196.4723 -66.52768738
2056               184.7581  52.75810166
2057               187.6477 -62.35225246
2058               185.9014 -46.09859555
2059               194.7287 -23.27127525
2060               195.4668  46.46681438
2061               183.4426   7.44263644
2062               179.8251 -30.17489835
2063               197.6795 143.67952058
2064               195.3534 -10.64664647
2065               189.7858 -18.21420640
2066               188.8152 -33.18483183
2067               185.5339 -35.46606310
2068               188.6211  24.62113420
2069               180.8435  62.84349852
2070               193.0735 133.07347545
2071               179.0117 -50.98830933
2072               181.9308 121.93079483
2073               185.8972 -56.10284142
2074               145.0574 -28.94264030
2075               137.3881 -18.61192193
2076               180.9106 -58.08944764
2077               202.4427  31.44274341
2078               120.8006  61.80062657
2079               208.6799 -15.32012217
2080               197.1149 189.11491205
2081               185.6757 -19.32426541
2082               204.7429 -50.25712737
2083               141.7616 -27.23840375
2084               183.1934 -52.80658178
2085               184.5656  87.56560913
2086               186.1785 -54.82147544
2087               190.4882  81.48821438
2088               167.4052 -22.59478741
2089               151.4486  67.44857020
2090               183.0872 -59.91280967
2091               213.0490  21.04895363
2092               132.9295  91.92947221
2093               181.8856  24.88562863
2094               205.5115 -15.48852729
2095               187.0521 -45.94786316
2096               175.3258   8.32580709
2097               184.9387 -48.06125938
2098               191.3492 -40.65082912
2099               189.6977 186.69770097
2100               212.0470   7.04702915
2101               180.6219  38.62194788
2102               187.0670 -30.93303880
2103               182.1556 -43.84435173
2104               164.3121 -33.68794181
2105               157.7126  97.71255476
2106               190.0323 -27.96769244
2107               194.8996 -14.10041469
2108               150.4076   3.40757585
2109               181.2503  24.25027406
2110               190.7878 -51.21221887
2111               193.7273  49.72734572
2112               183.3814 -20.61856932
2113               187.3174 -59.68263501
2114               184.2076  -8.79239610
2115               132.4043  -4.59573722
2116               190.0212 -64.97881022
2117               184.4884 -55.51162207
2118               194.2837 -23.71625261
2119               180.8211  64.82111664
2120               194.0659 -18.93409885
2121               225.8476  -1.15236690
2122               179.0060 -27.99400507
2123               183.0348  96.03480249
2124               194.6592 -69.34082655
2125               150.5227 106.52269797
2126               237.4121  40.41206352
2127               219.0373  -7.96270090
2128               203.6014 -19.39857834
2129               165.7861  11.78607037
2130               171.2548 -37.74517308
2131               187.6595 -61.34045189
2132               203.9385 -19.06149220
2133               211.4480  -1.55198078
2134               204.2066 -58.79343062
2135               185.0807 -54.91929698
2136               190.0567   9.05665579
2137               192.4462 -44.55383307
2138               175.6492 130.64919305
2139               175.2859 -49.71405421
2140               201.2530 -62.74701643
2141               170.9006 152.90058727
2142               190.6028 -54.39719490
2143               166.1558  32.15583469
2144               170.4107 -24.58926888
2145               183.1261 143.12607636
2146               172.5852 -38.41477867
2147               174.4201   2.42006343
2148               216.5372  49.53724868
2149               190.1293 -64.87067223
2150               189.4662 -55.53376006
2151               188.7755 -24.22452936
2152               130.6962 -14.30382795
2153               186.4682  -6.53180128
2154               190.5106 -58.48936719
2155               200.3558  -7.64419312
2156               179.9899 -57.01008995
2157               190.0842 -70.91577072
2158               182.5322  43.53221115
2159               180.1497 -30.85028555
2160               182.6258   4.62575637
2161               182.8141  38.81407283
2162               184.8547 -51.14525232
2163               287.0794  94.07940507
2164               172.5898 -21.41017043
2165               190.1010 -50.89899613
2166               179.5674 -60.43259356
2167               185.5058 -57.49416906
2168               194.0069  36.00691763
2169               188.1564  94.15642994
2170               193.6049 -16.39514301
2171               183.9432 -53.05675722
2172               181.9632 -60.03682904
2173               185.9856  61.98562293
2174               188.8475 -50.15246962
2175               196.3395   7.33948895
2176               183.7492  48.74922445
2177               185.3539 -23.64614261
2178               209.1627 -21.83730595
2179               175.7798 -62.22018538
2180               192.9611  49.96110855
2181               195.2475 117.24752901
2182               187.9988  88.99875761
2183               189.8370 -62.16299384
2184               186.4228   9.42280472
2185               173.2169 -25.78312201
2186               261.2852  51.28516646
2187               187.9110 -42.08904753
2188               184.3834 -38.61660150
2189               178.3782 -25.62175970
2190               191.8915 -33.10848202
2191               187.7482 -13.25177884
2192               182.5956   7.59561670
2193               187.0914 -64.90863747
2194               214.0895 -47.91049116
2195               203.4887  30.48866327
2196               160.5667 -16.43333565
2197               135.4067  47.40669214
2198               179.0397 -54.96030053
2199               279.3261  80.32609192
2200               136.5135 -22.48650131
2201               183.2669 -30.73307727
2202               190.6873 -15.31274045
2203               186.5867 -25.41331922
2204               201.4073 -62.59265966
2205               185.4867 -57.51325727
2206               188.7061  58.70613626
2207               167.8992   6.89915721
2208               199.9349 -15.06512610
2209               188.9452 -15.05481216
2210               194.1714 186.17143350
2211               168.8861   1.88605154
2212               208.5806  28.58060341
2213               146.2887 -30.71133329
2214               203.0062 -17.99376840
2215               156.7195  29.71954074
2216               179.3437 -40.65632138
2217               189.9560 -40.04398999
2218               214.3182  11.31821790
2219               182.3354  -2.66462082
2220               181.6842 -52.31578589
2221               189.2977 -62.70228752
2222               187.6520 -56.34800155
2223               177.8720 -55.12799951
2224               182.2763 -22.72369210
2225               187.4841 -49.51586058
2226               189.1676 -42.83241475
2227               155.7113 -30.28870608
2228               241.6799  20.67993764
2229               193.3866 -32.61336577
2230               197.7562 -55.24381015
2231               185.6224   3.62244227
2232               202.4632  29.46320497
2233               189.5635 -54.43646270
2234               167.2325 147.23247729
2235               180.8312  69.83117216
2236               180.9054 -10.09464510
2237               171.3242 -21.67575391
2238               185.7712  -5.22884177
2239               197.3649 149.36492978
2240               153.5264  -8.47357641
2241               144.6049  35.60491035
2242               188.2231 -50.77686474
2243               164.5579  41.55785932
2244               207.2750 -43.72499225
2245               175.7836  36.78360738
2246               186.6956 -62.30441803
2247               207.4278 -59.57222166
2248               189.0420  -2.95802172
2249               211.7623 -54.23771539
2250               140.0774  48.07744892
2251               182.9853  15.98529118
2252               182.8545   4.85445779
2253               191.8004  71.80043335
2254               193.5540 100.55401383
2255               152.7029  16.70290011
2256               176.0621 -24.93792230
2257               194.5151 -35.48486046
2258               186.2987 -32.70127698
2259               172.8170 -53.18297279
2260               193.0391 -50.96092568
2261               150.2271 -53.77293483
2262               192.0731  -5.92691977
2263               190.2353 164.23531291
2264               182.7057  16.70566501
2265               203.7565 -40.24348902
2266               216.6189  25.61892975
2267               178.9558 -28.04424700
2268               174.8510 -63.14902498
2269               185.3643 -45.63572178
2270               183.4366 -35.56335362
2271               190.1951 -45.80486676
2272               191.2967 -76.70333717
2273               149.6243 -42.37571615
2274               176.2050 -49.79497898
2275               194.7311 -34.26893398
2276               180.5720  21.57196171
2277               212.5781  45.57807556
2278               165.5784  26.57842948
2279               184.2632  -6.73684237
2280               187.5700 -36.43004326
2281               197.9933 -65.00670765
2282               167.0754 -11.92462059
2283               202.4488 -19.55115351
2284               204.2150 -53.78495600
2285               181.6986  14.69860148
2286               123.2920  -5.70798535
2287               154.7323 107.73234595
2288               186.1304 -60.86959304
2289               160.0879 -28.91209627
2290               199.4431   2.44310596
2291               182.1495 -33.85050073
2292               178.0677 -59.93225438
2293               206.3096 -59.69038231
2294               190.8961  12.89609321
2295               194.2653 -27.73466748
2296               207.2917  57.29171777
2297               207.9911  42.99109621
2298               193.2325  30.23251786
2299               188.6100 -51.38999597
2300               201.0221 -27.97786752
2301               169.9826  67.98257975
2302               179.9087 158.90868788
2303               193.8791 -31.12093959
2304               187.1519 -23.84812026
2305               197.1717  -5.82827997
2306               195.8437  89.84366333
2307               192.6625 -52.33745109
2308               194.4976  -8.50243903
2309               283.7983  90.79825285
2310               187.4342 152.43417420
2311               188.1122  27.11223784
2312               205.8030 -42.19700570
2313               187.7711 -67.22889246
2314               187.2632 -62.73675666
2315               209.6227 -14.37727453
2316               184.2609 -19.73911334
2317               174.4303 -26.56970326
2318               181.5837 -45.41628563
2319               183.9149   0.91485138
2320               187.8856 -46.11443485
2321               203.9999  -8.00006293
2322               190.2702 -57.72977313
2323               175.9588 -45.04118392
2324               185.1860 -18.81401051
2325               185.5020 -51.49803909
2326               181.6060  58.60603561
2327               179.8105 -32.18945313
2328               183.9033 -53.09669438
2329               193.6286 -28.37142953
2330               178.3066 -58.69341957
2331               215.7121  62.71214124
2332               172.2202 -46.77984999
2333               179.9345 -34.06552074
2334               214.5514   0.55140231
2335               180.6199 -38.38010060
2336               182.7122 -24.28777723
2337               181.1489  61.14886932
2338               166.8524  -4.14755811
2339               180.6951 124.69509806
2340               187.3784 -56.62155291
2341               184.2370  -3.76304882
2342               147.0004 -29.99959235
2343               171.1731 -32.82685216
2344               176.8383 -55.16170752
2345               191.5626 -51.43736270
2346               186.1167 -30.88330044
2347               189.5214 -64.47857344
2348               178.2144  22.21438851
2349               179.3150 -55.68497526
2350               188.9233 -23.07668179
2351               186.7454 -63.25459452
2352               180.9362  60.93623332
2353               182.8499 151.84994765
2354               185.8914  58.89140923
2355               193.1088 -39.89120797
2356               169.2472 -13.75282713
2357               186.4449 -15.55509707
2358               121.1495 101.14951344
2359               201.8227 -29.17725339
2360               132.1760 -13.82398048
2361               186.6005 -53.39950993
2362               182.3052  47.30523589
2363               142.0852 -27.91483740
2364               174.8060 -62.19404592
2365               149.3192  10.31919284
2366               188.2596 -63.74036084
2367               205.4216 -11.57835697
2368               151.2635  85.26350400
2369               189.2845 -35.71552756
2370               196.8085 106.80853725
2371               188.0724 -60.92756984
2372               183.3395  -6.66048661
2373               203.9532  -0.04682689
2374               188.2544 -47.74559659
2375               184.0459  -4.95408846
2376               197.8449  44.84487324
2377               167.8585 -10.14152350
2378               187.6595 -59.34053760
2379               182.2937 -59.70630920
2380               140.3721  -9.62788402
2381               181.0504  -2.94958666
2382               192.5846 -21.41543330
2383               205.0731 -51.92685189
2384               205.7734  57.77341003
2385               192.0268 -50.97315385
2386               192.8600  35.85998030
2387               196.5467 147.54670470
2388               209.9357 -11.06434994
2389               175.5279 -58.47211938
2390               186.4347 -63.56533756
2391               170.5260 -16.47395004
2392               123.2321  73.23209070
2393               239.1734  89.17336464
2394               187.0991 -41.90087657
2395               176.6044 -10.39562005
2396               196.8666  53.86658530
2397               155.5464 -26.45358659
2398               176.8079 -61.19205782
2399               183.6741 -15.32587866
2400               158.3329 -19.66714578
2401               191.2656 -20.73444389
2402               145.5833 -16.41671920
2403               195.0533  18.05329937
2404               166.5649  -2.43505022
2405               194.5150   2.51498372
2406               199.0935  -4.90649353
2407               197.0579 189.05791611
2408               192.7344  43.73441944
2409               178.5626 -31.43739399
2410               194.0275 -67.97248115
2411               147.3240 -53.67598456
2412               135.5735 -21.42654305
2413               168.9603 -25.03973160
2414               165.3092 146.30915893
2415               186.9218 -74.07815989
2416               177.5270 -49.47300862
2417               184.3190 -44.68102791
2418               193.8893 -52.11070381
2419               192.5306 -38.46937835
2420               205.0221   2.02212354
2421               201.4765 -19.52347064
2422               196.6673 -66.33269577
2423               188.7104  86.71037169
2424               184.1701 -16.82991563
2425               168.4014  11.40137852
2426               183.4417  -9.55829555
2427               193.4350 -37.56501049
2428               186.8657 -61.13430263
2429               183.8219  87.82191411
2430               186.2930  40.29299352
2431               209.7451  15.74506004
2432               200.0061 -15.99389543
2433               181.3134 -26.68662062
2434               199.5420 -10.45795466
2435               154.6827  52.68267022
2436               179.7130 -43.28695488
2437               187.1144 -39.88560132
2438               178.6508  58.65079657
2439               191.7821 -41.21786156
2440               183.6398  41.63978854
2441               189.7680 -26.23199160
2442               184.9740  85.97396757
2443               184.7301 170.73013746
2444               176.4600 139.46001412
2445               191.6061 -32.39385717
2446               169.1818 119.18183634
2447               188.0681 -29.93192921
2448               191.9271 -66.07294981
2449               215.0846  36.08457795
2450               203.1220 -19.87801237
2451               200.1414 -47.85857760
2452               198.2138  45.21381752
2453               184.5751 -37.42487386
2454               146.3341   3.33410063
2455               194.9537  -2.04625659
2456               169.3130 -24.68697619
2457               201.8721 -49.12785431
2458               229.0752   3.07520579
2459               183.9229 -38.07707957
2460               184.5277  -5.47233667
2461               211.7036 161.70356392
2462               186.0740  64.07400052
2463               182.9781  16.97805643
2464               147.5947  -6.40530983
2465               207.8939 -50.10613419
2466               166.9821  19.98206445
2467               142.3569 -57.64311392
2468               182.1754 112.17536262
2469               187.2913 -40.70872327
2470               182.8233 -48.17665962
2471               198.2268 -64.77319456
2472               171.1379 -23.86213021
2473               135.8762  -7.12380212
2474               187.5667 -51.43331159
2475               160.0444 -10.95559432
2476               160.0744 116.07442723
2477               180.8571 -83.14291282
2478               175.8781 -59.12191420
2479               183.4597 -62.54029267
2480               191.8435 -46.15652858
2481               183.7212  44.72119014
2482               194.8297  74.82966274
2483               186.1515 -43.84849390
2484               201.8459  11.84593793
2485               196.7293   1.72928371
2486               230.5165  28.51649813
2487               176.5782 -54.42177047
2488               186.5560 -22.44397728
2489               187.6108 -53.38915258
2490               193.4317 -45.56832341
2491               188.3060  24.30603797
2492               168.7390 -11.26096281
2493               183.2858 -19.71423871
2494               207.3865 -48.61351087
2495               186.7046   5.70457345
2496               195.0566 -12.94344269
2497               194.3550 -18.64502436
# plot predictions versus residuals for model 2
ggplot(plotresiduals3, aes(x= general_additive_model, y=residuals)) + 
  geom_point() + 
  geom_abline(slope = 0, intercept = 0, color = "pink", size = 1.5) + #add straight line at 0
  labs(x= "Predicted Values", y= "Residuals")

This model is an improvement upon the previous two model types, but it still does not capture all of the trends within the data. ## Choosing Best Model We will decide which model is best by comparing the predictions that they make. We have already determined that the GAM has the best performance metrics, followed by the tuned polynomial model, and lastly the linear regression. However, it is important to see how the models compare to one another when making predictions. This can be easily compared visually.

# Comparing all three models
# set seed for reproducibility
set.seed(123)

# create data frame with the observed values and 3 sets of predicted values 
plotdata <- data.frame(
  observed = c(train_data$totality), 
  glm_pred = c(glm_aug$.pred),
  poly_pred = c(poly_aug2$.pred), 
  gam_pred = c(gam_aug2$.pred), 
  model = rep(c("Linear regression", "Polynomial model", "General additive model"), each = nrow(train_data))) # add label indicating the model
plotdata
     observed glm_pred poly_pred gam_pred                  model
1         188 184.6417 189.94159 195.2987      Linear regression
2         126 182.3557 188.53914 188.4331      Linear regression
3         204 190.7776 176.02804 184.8440      Linear regression
4         153 193.9508 199.60770 189.4001      Linear regression
5         174 192.7517 186.41724 184.3746      Linear regression
6         177 193.2240 195.03717 187.0011      Linear regression
7         241 186.3831 178.86153 180.3419      Linear regression
8         242 186.3832 178.77189 181.6982      Linear regression
9         231 193.4518 197.39235 194.7743      Linear regression
10        206 181.9026 178.09397 171.0829      Linear regression
11        152 187.3359 205.22988 206.7187      Linear regression
12        135 170.8608 134.47704 127.5636      Linear regression
13        222 178.2793 190.49255 201.5793      Linear regression
14        210 189.4086 174.21851 182.9620      Linear regression
15        127 195.5334 190.41215 192.6107      Linear regression
16        204 187.3694 184.64595 197.6102      Linear regression
17        208 184.9840 187.89469 193.7753      Linear regression
18        218 190.1736 177.15068 186.0544      Linear regression
19        249 192.5938 204.13475 198.8046      Linear regression
20        187 194.4913 211.93670 207.6560      Linear regression
21        142 171.2681 137.07568 131.0793      Linear regression
22        256 190.5218 195.57255 194.6128      Linear regression
23        201 188.8485 178.39349 180.6646      Linear regression
24        198 183.8876 185.59766 188.2159      Linear regression
25        238 184.4539 186.38637 177.3767      Linear regression
26        251 190.1465 186.95057 192.7718      Linear regression
27         20 178.2391 162.70417 161.5181      Linear regression
28        139 175.6371 147.22858 152.5962      Linear regression
29        222 186.4278 190.52585 193.6478      Linear regression
30        177 192.9604 190.56870 185.4274      Linear regression
31        244 187.6902 158.88822 182.6300      Linear regression
32        205 180.4677 175.82756 172.2603      Linear regression
33        233 181.2775 193.58656 194.3568      Linear regression
34        228 184.6685 198.13789 189.0945      Linear regression
35        218 172.3644 214.52407 207.7859      Linear regression
36        223 180.4220 184.38416 185.3195      Linear regression
37        223 188.0740 177.01144 181.0518      Linear regression
38        204 155.9468 144.79172 147.3275      Linear regression
39        227 184.5970 200.54157 192.0196      Linear regression
40        117 195.7099 179.30481 184.1203      Linear regression
41        224 184.7221 182.74034 185.8470      Linear regression
42        201 174.0222 171.79511 173.7587      Linear regression
43        254 190.5001 193.29121 188.6654      Linear regression
44        110 194.5302 201.06039 190.4480      Linear regression
45        232 190.8092 189.55981 186.9835      Linear regression
46        185 194.8595 174.94753 179.0061      Linear regression
47        148 186.0331 186.33714 182.9727      Linear regression
48        249 189.4223 190.11900 188.5963      Linear regression
49        167 186.5355 185.46297 182.0531      Linear regression
50        184 178.5094 167.16942 169.9774      Linear regression
51         77 168.9522 120.02215 110.7807      Linear regression
52        212 188.0765 180.27869 179.9831      Linear regression
53        202 165.6026 170.39487 174.7457      Linear regression
54        203 187.4935 186.40557 182.9340      Linear regression
55        235 186.1548 184.09197 191.4073      Linear regression
56        229 193.7339 170.80628 175.8051      Linear regression
57        252 189.5783 220.01554 207.0075      Linear regression
58        225 189.6160 177.04738 186.5617      Linear regression
59        229 179.8726 196.34493 204.7194      Linear regression
60        246 187.8896 183.37767 190.9599      Linear regression
61        222 185.3300 199.07754 189.4525      Linear regression
62        160 176.8821 156.68269 162.2344      Linear regression
63        161 184.2396 191.83112 196.5232      Linear regression
64        138 172.4474 137.34571 134.8552      Linear regression
65        180 180.0025 171.73878 167.9517      Linear regression
66        176 186.3137 189.33981 185.5967      Linear regression
67        213 188.2631 227.65753 211.5468      Linear regression
68         10 195.1008 200.45990 190.1585      Linear regression
69        145 195.4311 187.57893 188.1125      Linear regression
70        138 194.9537 205.51857 196.3811      Linear regression
71        195 188.7992 180.41988 180.8314      Linear regression
72        151 187.3158 215.82933 211.8872      Linear regression
73        178 189.8048 176.33322 181.1690      Linear regression
74        225 177.0586 201.28797 212.8297      Linear regression
75        234 182.3410 188.78979 182.9835      Linear regression
76         10 177.3864 154.87745 156.4726      Linear regression
77        215 188.2584 183.97763 187.0544      Linear regression
78        160 191.5545 172.06307 182.1275      Linear regression
79        248 188.7601 186.13024 190.1241      Linear regression
80        235 190.4325 187.24807 187.3584      Linear regression
81         93 169.6621 123.37129 114.4858      Linear regression
82        221 176.4014 194.95257 204.6945      Linear regression
83        193 188.0033 187.19180 193.8914      Linear regression
84        236 188.0645 176.85853 185.1952      Linear regression
85        225 184.9139 183.27325 187.4554      Linear regression
86        156 175.2908 150.21806 155.7972      Linear regression
87         20 184.7492 137.85696 156.6317      Linear regression
88         30 186.3015 235.83407 222.0519      Linear regression
89        145 182.5395 187.44355 187.3179      Linear regression
90        237 188.5088 212.39913 206.8407      Linear regression
91        243 189.5490 188.28357 194.3183      Linear regression
92        233 184.9048 180.96760 182.4389      Linear regression
93        193 173.5310 165.51689 165.9208      Linear regression
94        144 158.8352 184.02183 158.7595      Linear regression
95        217 187.8661 179.65581 179.7788      Linear regression
96        240 185.2087 180.94284 176.5498      Linear regression
97        234 193.1998 184.30707 188.0526      Linear regression
98         14 175.8363 141.81433 145.9640      Linear regression
99        180 186.9256 213.78137 204.6728      Linear regression
100       203 178.7148 259.09320 273.3729      Linear regression
101        10 181.0872 188.15557 185.1071      Linear regression
102       166 186.0301 189.33559 186.1736      Linear regression
103       211 165.6630 176.36485 181.6070      Linear regression
104       211 173.0224 182.65130 179.9597      Linear regression
105       217 180.9610 179.22789 175.0386      Linear regression
106       233 182.3944 187.24936 180.7705      Linear regression
107        10 185.4526 179.59971 179.7742      Linear regression
108       220 193.8413 196.47180 194.7235      Linear regression
109        99 191.3670 172.88415 180.9427      Linear regression
110       231 186.8422 180.94854 178.5424      Linear regression
111       168 155.3138 148.67721 143.3212      Linear regression
112       253 191.2468 194.65438 190.1875      Linear regression
113       144 187.1213 189.70716 196.2499      Linear regression
114       192 186.6273 209.34991 199.8954      Linear regression
115       184 186.8819 173.64831 193.0806      Linear regression
116       237 188.9740 222.91909 208.7241      Linear regression
117       222 183.5870 180.48945 176.5874      Linear regression
118       201 187.7330 184.08512 184.1824      Linear regression
119       221 171.5128 201.35277 194.6021      Linear regression
120       176 195.0958 175.08540 179.7775      Linear regression
121       250 190.8982 197.44255 188.3021      Linear regression
122       217 179.4752 181.51965 185.9419      Linear regression
123       248 190.4394 195.39121 187.3237      Linear regression
124       265 191.0549 214.27812 212.9333      Linear regression
125       182 195.0075 166.51027 172.3272      Linear regression
126       226 188.5915 225.74637 210.4094      Linear regression
127       224 185.6109 193.98575 184.2467      Linear regression
128       203 183.6041 183.43376 183.6425      Linear regression
129       152 179.9919 171.86625 167.1332      Linear regression
130       235 182.4738 195.89116 192.1762      Linear regression
131       243 186.6490 178.95880 184.6816      Linear regression
132       231 180.7034 193.56837 197.1634      Linear regression
133       187 185.6802 191.89314 193.5372      Linear regression
134       226 187.9874 176.89818 181.3286      Linear regression
135       242 188.2752 179.44799 188.6014      Linear regression
136       175 195.0229 178.17493 181.9545      Linear regression
137       243 186.9391 178.29076 184.0454      Linear regression
138       250 189.5461 194.70945 186.8010      Linear regression
139       211 164.8886 174.65985 181.1691      Linear regression
140       171 178.8261 166.39806 166.8136      Linear regression
141       239 188.8120 221.74263 208.8650      Linear regression
142       236 188.5219 216.26017 207.7348      Linear regression
143       171 181.9453 180.75601 176.0572      Linear regression
144       124 181.5730 184.40324 180.9885      Linear regression
145        85 185.8343 167.27296 188.8961      Linear regression
146       245 189.0347 219.69126 208.3280      Linear regression
147       201 179.8696 174.24465 173.0629      Linear regression
148       200 180.3448 174.63233 171.0069      Linear regression
149        64 194.3618 193.88926 186.3166      Linear regression
150       231 183.4244 203.09667 198.3987      Linear regression
151       206 182.5312 179.53697 173.6763      Linear regression
152       186 179.4425 170.22124 169.1280      Linear regression
153       217 174.3297 191.69689 193.3836      Linear regression
154        10 196.3952 166.66618 174.9219      Linear regression
155       246 191.3834 198.47362 189.2280      Linear regression
156       198 179.7953 173.52735 172.3611      Linear regression
157        70 196.1293 180.45865 185.7314      Linear regression
158        39 181.1435 185.85039 182.2797      Linear regression
159       215 187.6297 186.46582 198.6758      Linear regression
160       172 168.3008 151.09075 145.4578      Linear regression
161       114 185.6111 136.25550 173.6496      Linear regression
162       235 187.1698 190.31374 192.1987      Linear regression
163       213 181.3332 178.17734 172.0659      Linear regression
164       185 162.7718 160.23536 166.7477      Linear regression
165       140 185.5532 188.80340 186.4369      Linear regression
166       261 191.9793 189.53793 188.1191      Linear regression
167       185 182.0891 179.91735 174.6902      Linear regression
168       226 185.6399 192.77578 183.1563      Linear regression
169       244 186.9815 179.45541 186.9809      Linear regression
170       259 191.4178 182.25881 188.6390      Linear regression
171       171 171.3987 150.27341 144.4708      Linear regression
172       229 188.3687 188.09350 184.4700      Linear regression
173       195 181.1467 176.05601 169.6853      Linear regression
174       189 172.3817 233.51396 227.4575      Linear regression
175       201 177.2565 172.17515 180.8101      Linear regression
176       210 185.7190 206.10150 196.9274      Linear regression
177       235 185.3603 181.39279 185.3367      Linear regression
178       257 191.2435 188.62697 190.2724      Linear regression
179       216 181.4150 178.98152 172.8997      Linear regression
180       174 184.0910 189.90738 194.5700      Linear regression
181       255 190.4945 184.68131 191.1139      Linear regression
182        26 190.7609 184.67053 185.3094      Linear regression
183       219 185.1538 203.72663 194.8883      Linear regression
184       229 188.7138 224.45696 209.8541      Linear regression
185       205 179.2071 256.86904 273.3517      Linear regression
186       204 173.8689 174.14902 175.3586      Linear regression
187       194 162.3526 163.62361 169.6920      Linear regression
188       244 186.8156 179.01563 185.5586      Linear regression
189        95 190.7167 179.55598 182.6982      Linear regression
190       259 191.9591 212.66201 205.5281      Linear regression
191       263 190.2303 213.50813 209.2159      Linear regression
192       113 195.8805 177.54690 180.7111      Linear regression
193       250 189.2701 192.31306 188.1162      Linear regression
194        16 195.6180 207.04230 197.2893      Linear regression
195        56 186.5058 239.11804 221.1917      Linear regression
196       236 188.8915 186.30182 186.6547      Linear regression
197       218 186.7830 187.77934 180.6140      Linear regression
198       205 179.3905 174.84125 176.6680      Linear regression
199       207 171.4363 179.43745 173.0149      Linear regression
200       210 164.2910 173.22624 180.2238      Linear regression
201       185 182.4138 181.32935 177.3467      Linear regression
202       131 177.2820 154.96368 158.2855      Linear regression
203       243 186.7790 178.36038 183.1831      Linear regression
204       259 190.3307 213.68455 202.9111      Linear regression
205       155 192.3714 176.91312 182.5583      Linear regression
206       202 173.1747 173.37562 171.9459      Linear regression
207       150 178.1405 161.32664 163.0004      Linear regression
208       157 186.5148 177.82487 193.8389      Linear regression
209       262 191.3210 197.58005 193.2372      Linear regression
210       213 190.4972 176.95018 185.5592      Linear regression
211       222 180.1177 184.31086 186.7744      Linear regression
212       105 195.8452 171.14045 177.6464      Linear regression
213       190 189.8288 174.22315 181.6034      Linear regression
214       206 191.9972 189.15265 185.7544      Linear regression
215       232 181.3753 192.03716 191.6504      Linear regression
216       162 186.2574 186.94547 183.2115      Linear regression
217       150 177.3755 157.31730 161.2910      Linear regression
218       199 171.5770 224.24812 218.9534      Linear regression
219       179 174.3871 156.57190 160.3630      Linear regression
220       152 182.8285 187.90356 188.7604      Linear regression
221       157 162.9993 148.88282 155.2956      Linear regression
222       130 189.2206 196.84871 190.7069      Linear regression
223       243 189.5776 190.64207 195.5329      Linear regression
224        86 169.2567 121.74079 112.5982      Linear regression
225       223 180.1362 185.01743 187.7047      Linear regression
226       197 179.7667 172.94269 171.5951      Linear regression
227        18 188.0577 241.24772 235.8983      Linear regression
228       171 193.8225 201.36615 190.5718      Linear regression
229       170 179.9345 171.20624 167.1999      Linear regression
230       102 176.7328 150.14694 153.9808      Linear regression
231       142 172.5328 138.89791 136.6657      Linear regression
232       110 182.4802 190.24906 191.1815      Linear regression
233       101 194.0892 191.95653 185.4721      Linear regression
234       244 187.9486 188.38125 191.4051      Linear regression
235        40 178.4327 164.37616 162.5787      Linear regression
236       244 192.7733 182.66243 187.4938      Linear regression
237       178 177.3620 162.57854 168.5126      Linear regression
238       179 186.6924 187.27069 183.0431      Linear regression
239       210 194.3400 168.33423 173.3794      Linear regression
240        74 179.9910 176.02917 170.8484      Linear regression
241       232 182.8810 183.64538 175.3893      Linear regression
242       204 179.2795 174.39046 176.5937      Linear regression
243       234 182.2782 200.28466 199.1647      Linear regression
244       194 164.0502 164.44143 170.7648      Linear regression
245       240 185.2271 181.86828 176.2578      Linear regression
246       245 188.8777 214.48493 207.5146      Linear regression
247       199 188.9939 177.63723 180.7858      Linear regression
248       100 192.2038 170.54770 180.6195      Linear regression
249       114 178.0097 159.48219 160.2632      Linear regression
250        72 190.6721 181.99676 183.7634      Linear regression
251       245 188.1637 180.39484 189.2722      Linear regression
252       179 194.1103 204.43821 194.4940      Linear regression
253       246 188.0056 181.98078 190.2508      Linear regression
254       119 177.7315 157.54559 159.3232      Linear regression
255       184 194.9142 175.46899 180.2598      Linear regression
256        45 163.5299 125.67442 129.9238      Linear regression
257       219 184.5600 210.15017 204.1007      Linear regression
258        52 196.0883 167.33229 174.8963      Linear regression
259       108 192.8241 174.44629 181.1308      Linear regression
260        75 196.0262 167.30239 174.7507      Linear regression
261       209 180.4615 176.68497 173.6217      Linear regression
262       262 191.8089 187.87518 187.7648      Linear regression
263       261 191.4284 186.80884 188.6814      Linear regression
264       207 186.2745 191.69109 192.1243      Linear regression
265        60 196.3878 153.51291 162.9837      Linear regression
266        25 192.4301 169.93202 179.9839      Linear regression
267       227 184.4461 201.98543 194.0627      Linear regression
268       222 178.0325 233.04481 246.8892      Linear regression
269       200 182.6503 180.53969 176.0133      Linear regression
270       223 185.7293 187.33414 193.8695      Linear regression
271       259 190.2617 214.85067 203.6688      Linear regression
272       245 187.5041 183.55273 191.3342      Linear regression
273       140 174.0892 141.40994 144.2192      Linear regression
274       173 164.9640 153.77244 157.5565      Linear regression
275       227 181.5522 184.33005 179.8265      Linear regression
276       249 189.0160 191.15669 188.8036      Linear regression
277       178 176.7695 160.56028 167.3648      Linear regression
278       209 175.9882 178.64212 187.1353      Linear regression
279       260 190.7127 204.84342 197.7902      Linear regression
280       212 187.4929 189.05356 183.7596      Linear regression
281       239 184.8390 184.54812 176.4421      Linear regression
282       212 193.6267 198.48428 193.9597      Linear regression
283       255 190.5867 192.07385 189.0964      Linear regression
284       235 183.2303 196.76707 190.6310      Linear regression
285       263 190.2347 212.95756 209.3604      Linear regression
286       220 178.3069 236.75420 251.3405      Linear regression
287       161 193.7138 197.71039 188.2775      Linear regression
288       245 192.9629 186.71696 185.7962      Linear regression
289       224 189.9470 178.06866 186.6873      Linear regression
290        48 185.0791 131.04805 163.2531      Linear regression
291       233 193.4142 196.16974 193.7026      Linear regression
292       220 177.9948 187.35072 198.1626      Linear regression
293       197 173.1831 168.85983 167.7573      Linear regression
294       222 193.1959 199.33564 193.6063      Linear regression
295       171 164.2832 153.46182 158.6079      Linear regression
296       215 179.8015 179.41578 181.2565      Linear regression
297       214 181.8600 178.55610 171.3460      Linear regression
298       190 179.7381 171.63377 169.6034      Linear regression
299        22 178.3742 163.69153 162.1474      Linear regression
300       180 164.0004 157.69749 163.5939      Linear regression
301       137 195.6454 165.26307 172.2786      Linear regression
302        80 195.8089 190.10089 192.7429      Linear regression
303       245 187.4091 181.04523 189.6309      Linear regression
304       225 188.6330 184.35744 188.5050      Linear regression
305       252 190.1032 192.39488 187.8593      Linear regression
306       218 186.0852 194.93533 185.2709      Linear regression
307       252 191.5128 194.59364 190.7397      Linear regression
308       191 180.4127 173.67642 168.9962      Linear regression
309       167 172.0872 233.50199 229.9962      Linear regression
310       231 180.9364 193.56294 196.0094      Linear regression
311       190 179.1849 170.23693 170.7943      Linear regression
312       158 172.6044 238.69868 234.3437      Linear regression
313       226 193.8047 179.50911 181.1607      Linear regression
314       242 189.1025 182.88839 189.2342      Linear regression
315       185 189.1410 180.39190 181.2277      Linear regression
316       195 173.8418 166.49963 168.0452      Linear regression
317       150 191.6727 171.57025 181.7239      Linear regression
318       262 191.2749 194.12355 191.7526      Linear regression
319       260 191.6897 181.24063 186.9905      Linear regression
320       257 191.0876 186.16063 190.0100      Linear regression
321       190 173.3543 162.36802 162.2654      Linear regression
322       243 187.0602 183.30558 191.3041      Linear regression
323       218 179.9982 181.01441 182.5775      Linear regression
324       174 184.7469 191.58778 196.2941      Linear regression
325       188 176.1400 163.61120 171.2678      Linear regression
326       210 187.2968 188.20605 181.6186      Linear regression
327       215 192.2751 196.24711 187.5863      Linear regression
328       241 185.8259 179.52020 181.7994      Linear regression
329       189 172.3968 161.84916 158.4126      Linear regression
330       190 194.7201 180.89968 184.3761      Linear regression
331        38 185.1481 130.08594 167.4785      Linear regression
332       228 188.6712 224.55043 210.0228      Linear regression
333       152 195.3518 177.97740 182.3969      Linear regression
334       256 190.7222 191.59123 189.4595      Linear regression
335       257 190.7268 205.69187 204.3732      Linear regression
336       238 184.5449 181.03672 175.4933      Linear regression
337       139 187.5957 223.69459 215.5782      Linear regression
338       247 188.1751 183.22036 190.6058      Linear regression
339        41 196.2303 173.62410 177.4277      Linear regression
340       123 182.9401 191.42399 193.9932      Linear regression
341        70 196.1556 193.82904 191.4775      Linear regression
342       119 195.7199 177.55913 182.7205      Linear regression
343       136 185.1640 185.12110 152.9529      Linear regression
344       109 179.8699 173.64033 168.6697      Linear regression
345       247 189.7247 185.16768 189.9084      Linear regression
346       185 190.4621 172.58523 182.3364      Linear regression
347        44 194.8228 200.45831 190.0973      Linear regression
348        76 174.2660 133.25195 136.1964      Linear regression
349       264 191.1476 207.93122 199.4569      Linear regression
350        55 193.0987 173.50265 180.3970      Linear regression
351        29 185.6171 180.28270 180.0075      Linear regression
352       227 187.5275 191.89448 186.9861      Linear regression
353       216 188.3088 177.50392 180.5926      Linear regression
354       158 187.2943 187.58566 194.2681      Linear regression
355        72 180.9871 183.56720 179.2377      Linear regression
356       138 190.0291 182.27264 183.0386      Linear regression
357       173 172.9494 151.91430 150.7733      Linear regression
358       168 188.3489 197.69824 189.9519      Linear regression
359       251 189.6825 194.65794 187.0638      Linear regression
360       223 177.9304 230.55978 244.1787      Linear regression
361        35 176.3577 146.19765 150.0270      Linear regression
362        64 190.1711 190.57426 187.9553      Linear regression
363       230 191.1054 191.59222 186.8808      Linear regression
364        74 195.6318 214.13041 209.7466      Linear regression
365       222 188.2257 186.52577 184.4727      Linear regression
366       229 182.9681 181.24223 173.2020      Linear regression
367       244 193.0023 183.75345 183.8145      Linear regression
368        80 191.8148 171.01042 180.5528      Linear regression
369       223 186.3343 189.93372 194.0864      Linear regression
370        66 195.5105 229.25045 219.4307      Linear regression
371       207 186.1429 203.43293 193.6840      Linear regression
372       210 193.8602 194.75242 192.8425      Linear regression
373       235 188.8276 186.48417 186.3334      Linear regression
374       193 185.1933 190.88178 195.7557      Linear regression
375       235 182.9245 195.40799 189.8343      Linear regression
376       193 170.8491 220.41553 217.7943      Linear regression
377       254 188.6036 175.50610 197.2843      Linear regression
378       158 174.1283 253.42747 246.2103      Linear regression
379       229 180.8555 190.43450 191.9109      Linear regression
380       171 164.7576 152.93488 157.0964      Linear regression
381        95 177.2118 153.44218 156.1886      Linear regression
382       225 188.8657 194.10796 198.4690      Linear regression
383       229 183.6305 180.33677 174.6189      Linear regression
384        30 175.4983 138.52723 142.5971      Linear regression
385       216 167.4401 187.23050 189.3397      Linear regression
386       176 186.5741 187.51346 183.3241      Linear regression
387       218 188.5362 176.09279 181.5754      Linear regression
388       249 189.7700 192.46935 187.7683      Linear regression
389       228 183.9718 180.47721 177.1352      Linear regression
390        54 185.7932 180.22383 180.2878      Linear regression
391       221 172.1402 200.99109 194.6544      Linear regression
392       246 192.8937 194.98291 191.8503      Linear regression
393       237 189.0273 221.29530 208.1095      Linear regression
394       223 180.2038 184.69040 186.8871      Linear regression
395       142 177.0641 154.73030 159.0108      Linear regression
396       192 188.0615 196.61970 200.9251      Linear regression
397        10 186.0709 182.96095 189.0367      Linear regression
398       135 191.4371 171.22527 181.0981      Linear regression
399       216 187.8508 204.58255 204.1949      Linear regression
400       205 192.5704 225.13275 219.3583      Linear regression
401       236 187.4110 190.99138 191.1634      Linear regression
402       218 172.5516 216.59582 209.9234      Linear regression
403       216 187.0590 191.53711 187.6074      Linear regression
404       166 183.9275 190.27071 194.6935      Linear regression
405       235 188.1306 192.09539 185.6320      Linear regression
406       211 194.2674 176.31570 179.2144      Linear regression
407       246 189.2603 191.88063 185.9508      Linear regression
408       150 187.9506 212.35175 203.1461      Linear regression
409        92 194.4791 197.96107 188.4862      Linear regression
410       174 178.6070 165.90986 167.4700      Linear regression
411        50 186.3768 185.46090 191.9812      Linear regression
412       227 176.9931 211.31482 222.5672      Linear regression
413       190 182.7820 182.25659 179.5212      Linear regression
414       215 192.0421 193.46091 186.7359      Linear regression
415       102 163.2123 133.92938 139.4284      Linear regression
416        71 178.8506 166.77715 164.0750      Linear regression
417       239 187.3001 177.54191 183.0741      Linear regression
418       198 187.7261 183.72299 184.5127      Linear regression
419        69 193.9879 186.98209 183.4923      Linear regression
420       254 190.4069 184.88459 190.2523      Linear regression
421         6 194.1802 185.89893 182.9375      Linear regression
422        59 182.4731 192.23975 193.9136      Linear regression
423       150 181.8963 183.27105 179.8329      Linear regression
424        15 189.6678 205.91355 199.0061      Linear regression
425       138 171.6412 136.40919 131.4035      Linear regression
426       238 188.8674 178.93632 188.1056      Linear regression
427       101 161.5414 137.44116 144.1122      Linear regression
428       194 185.0522 190.35052 195.6758      Linear regression
429       222 178.1541 190.47998 201.7207      Linear regression
430       203 167.4428 172.86947 172.1935      Linear regression
431        54 181.3091 186.31773 183.1333      Linear regression
432       199 187.3072 195.52562 186.8061      Linear regression
433       148 173.3375 142.49393 142.9650      Linear regression
434       219 187.3166 182.75548 179.3270      Linear regression
435       233 189.1121 187.44187 194.0154      Linear regression
436       174 187.2730 182.24198 184.7939      Linear regression
437       224 184.7777 182.91486 186.3668      Linear regression
438       218 172.8407 218.56003 212.1309      Linear regression
439       156 170.4061 143.08761 135.5865      Linear regression
440        30 167.3260 117.07993 109.7161      Linear regression
441       140 195.3728 192.31351 193.8518      Linear regression
442       228 179.8115 193.14475 200.6283      Linear regression
443       172 167.9852 151.53951 146.6774      Linear regression
444       226 188.0883 189.20547 184.0360      Linear regression
445       224 178.6820 191.95130 202.6584      Linear regression
446       146 186.3171 171.63033 191.3212      Linear regression
447       241 189.0787 222.72653 208.4632      Linear regression
448       224 177.0632 197.33867 208.7872      Linear regression
449        99 178.5208 163.49341 162.2201      Linear regression
450        83 167.8837 121.86294 113.9604      Linear regression
451       122 183.5501 192.95035 196.9679      Linear regression
452       159 178.0607 161.69104 164.1520      Linear regression
453       215 194.2306 167.26481 173.3597      Linear regression
454       195 183.0701 182.74739 180.9953      Linear regression
455        40 191.3944 177.69918 182.5038      Linear regression
456       232 185.1390 181.86072 185.5267      Linear regression
457       242 186.9886 225.46915 165.3585      Linear regression
458       229 181.1149 188.83247 188.2986      Linear regression
459       208 185.1423 215.26236 209.1147      Linear regression
460       229 181.2179 187.79802 186.2993      Linear regression
461       188 186.1381 219.65822 212.4730      Linear regression
462       199 194.6405 166.24581 171.8832      Linear regression
463       163 194.3295 204.90473 194.3038      Linear regression
464       128 180.0361 173.70320 168.5712      Linear regression
465       171 187.4733 184.74860 191.0244      Linear regression
466       237 183.3422 186.53698 177.9043      Linear regression
467        32 183.5577 193.97464 197.4429      Linear regression
468       230 185.1415 192.22509 182.5630      Linear regression
469       191 187.1230 186.54107 182.6130      Linear regression
470       214 183.7067 181.91588 180.8306      Linear regression
471       136 182.3954 187.71878 187.3530      Linear regression
472       261 190.8449 207.58392 199.1305      Linear regression
473       243 186.5782 178.97683 184.3798      Linear regression
474       246 189.9840 191.00208 187.8238      Linear regression
475       145 168.1129 139.32854 132.8885      Linear regression
476       247 190.3129 194.34115 187.3354      Linear regression
477       162 181.6866 180.58288 175.6970      Linear regression
478       170 183.3805 187.83261 190.1724      Linear regression
479       170 187.2669 182.21925 185.8408      Linear regression
480        40 191.8321 172.88011 180.8384      Linear regression
481       177 186.4388 146.70929 180.8555      Linear regression
482       253 190.3712 185.33668 190.0724      Linear regression
483       262 191.7232 193.44988 190.5163      Linear regression
484       240 192.1222 198.26606 191.6308      Linear regression
485       232 180.8857 196.94480 201.0760      Linear regression
486       261 189.7248 205.51013 207.9888      Linear regression
487       239 185.3211 179.93334 180.3920      Linear regression
488       258 190.9595 204.85896 210.0100      Linear regression
489        71 164.8029 125.06549 125.9731      Linear regression
490       217 194.1428 169.44216 174.2223      Linear regression
491       130 183.6660 192.83489 196.9723      Linear regression
492        60 175.9933 142.98354 147.0326      Linear regression
493        52 177.0084 151.56596 154.3746      Linear regression
494       261 189.6183 200.96188 207.1122      Linear regression
495        90 186.7596 201.75171 205.2618      Linear regression
496       148 190.2093 177.98580 181.6771      Linear regression
497       141 162.0345 145.50663 152.0855      Linear regression
498       234 182.0346 198.99811 198.4611      Linear regression
499       242 186.2473 179.43890 184.1259      Linear regression
500       210 187.0578 190.75764 182.8923      Linear regression
501       193 189.4358 175.86982 181.1579      Linear regression
502        30 171.6110 117.92782 112.9220      Linear regression
503       235 186.0815 182.99261 177.5706      Linear regression
504       218 184.2462 182.90812 184.5896      Linear regression
505       152 182.7526 187.41677 187.8362      Linear regression
506       214 185.9363 190.05949 194.7511      Linear regression
507        30 177.1485 152.96840 154.9800      Linear regression
508       203 173.6643 173.73024 174.1561      Linear regression
509       206 184.1123 184.77361 187.5428      Linear regression
510       238 193.3553 175.09498 178.4551      Linear regression
511       187 182.0592 179.60478 174.1391      Linear regression
512       155 173.0953 144.60114 144.1909      Linear regression
513       161 174.3314 148.91964 152.5129      Linear regression
514       214 168.4169 196.06426 196.6844      Linear regression
515       151 189.4092 187.23439 184.5688      Linear regression
516       220 172.4632 212.60014 206.0494      Linear regression
517       207 189.1456 175.16342 181.7123      Linear regression
518       227 177.2064 204.07346 216.0132      Linear regression
519       180 165.0301 157.15393 161.1558      Linear regression
520       199 177.4160 171.49831 179.7407      Linear regression
521       202 194.5205 170.51715 174.9892      Linear regression
522       266 190.8207 215.86441 208.4212      Linear regression
523       236 187.6172 191.76871 189.7798      Linear regression
524       211 178.9506 251.01738 266.9951      Linear regression
525       135 190.8108 174.47749 181.2236      Linear regression
526       144 182.2165 185.83560 184.1759      Linear regression
527       111 186.3777 215.09926 207.1204      Linear regression
528       207 173.1532 177.44131 175.6362      Linear regression
529       222 193.3461 197.46664 193.4889      Linear regression
530       224 176.2613 223.33324 230.3882      Linear regression
531       259 192.1066 193.58378 190.2506      Linear regression
532       173 175.4356 156.03399 162.2850      Linear regression
533       124 187.8058 225.96473 218.0754      Linear regression
534       221 172.0500 201.93933 195.4505      Linear regression
535       192 187.3463 184.99894 182.6950      Linear regression
536       211 187.6689 184.41080 180.3701      Linear regression
537       146 165.0886 142.38481 144.5826      Linear regression
538       154 176.2635 152.88226 158.7584      Linear regression
539        30 184.6333 187.70707 186.8495      Linear regression
540       227 177.1796 212.65058 224.4707      Linear regression
541       106 192.1131 170.55306 180.6933      Linear regression
542       211 175.4807 180.89093 187.9279      Linear regression
543       235 187.0006 178.64687 179.8601      Linear regression
544       221 183.9110 181.17489 179.5294      Linear regression
545       121 195.7706 169.83630 176.4080      Linear regression
546       106 169.6046 126.06513 117.2940      Linear regression
547       251 190.0500 191.38238 194.7579      Linear regression
548       244 189.5118 185.24516 189.4565      Linear regression
549       237 183.6293 191.88051 183.5032      Linear regression
550       142 187.1974 202.74059 205.4836      Linear regression
551       265 188.6527 211.06333 181.5034      Linear regression
552       197 187.2454 187.12138 182.8669      Linear regression
553       237 190.4924 189.66046 187.3374      Linear regression
554       194 184.3541 188.14945 193.0174      Linear regression
555       210 185.8281 205.34841 195.9694      Linear regression
556       225 193.2183 227.44022 219.5229      Linear regression
557       104 182.0140 188.28130 187.2193      Linear regression
558       175 181.0638 176.22695 170.0244      Linear regression
559       232 184.2570 196.46410 187.7818      Linear regression
560        93 196.0245 173.46479 177.5420      Linear regression
561       188 185.3698 191.68116 195.2309      Linear regression
562       193 181.8619 178.44541 172.1799      Linear regression
563       197 172.0557 228.72790 222.7128      Linear regression
564       228 188.6107 175.78475 184.5665      Linear regression
565       216 189.1958 174.60804 183.5405      Linear regression
566       185 180.6790 174.40009 168.7456      Linear regression
567       137 184.0358 192.91337 197.1099      Linear regression
568       113 185.7730 183.91603 181.4584      Linear regression
569       156 195.3675 171.10611 176.7204      Linear regression
570       222 174.6898 201.58642 203.8090      Linear regression
571       176 174.3122 154.70301 158.2662      Linear regression
572       265 190.1650 201.46174 198.6276      Linear regression
573       168 186.5230 186.15769 182.4306      Linear regression
574       114 185.2121 188.74360 187.0406      Linear regression
575       242 188.5397 193.12479 186.4840      Linear regression
576       186 186.2917 190.84144 188.0594      Linear regression
577       203 176.2267 172.67922 181.3076      Linear regression
578       215 166.7167 184.59905 188.7065      Linear regression
579       183 187.8864 210.02883 207.9826      Linear regression
580        30 167.8881 116.86838 108.3807      Linear regression
581       201 179.3960 173.47879 174.5872      Linear regression
582       226 188.7403 218.85469 208.3623      Linear regression
583       227 193.7524 172.32856 178.6158      Linear regression
584        40 196.2581 198.23845 194.0544      Linear regression
585       232 180.8224 195.50907 199.3459      Linear regression
586       225 176.5665 205.24006 215.2530      Linear regression
587       203 194.5042 172.26538 176.3261      Linear regression
588       220 171.8154 207.11711 200.3388      Linear regression
589       111 161.8942 138.27338 144.9753      Linear regression
590       243 187.4342 186.68765 192.3669      Linear regression
591        30 181.6580 190.64028 189.5974      Linear regression
592        30 175.9208 142.26999 146.3230      Linear regression
593       222 180.1593 183.99755 186.1067      Linear regression
594       192 194.2324 199.78164 194.7475      Linear regression
595       230 193.5459 193.90379 192.0941      Linear regression
596       185 189.6157 176.14471 181.1253      Linear regression
597       261 190.6403 211.45457 201.5566      Linear regression
598       232 186.1064 184.05640 177.8846      Linear regression
599       216 192.4751 198.90422 188.8408      Linear regression
600       221 191.2376 187.98836 186.3536      Linear regression
601       221 180.0009 184.08915 187.0445      Linear regression
602       263 191.2165 197.79696 193.5259      Linear regression
603       228 193.7155 181.36213 182.4654      Linear regression
604        76 178.8932 167.02289 164.2260      Linear regression
605       208 166.0692 174.74054 178.5957      Linear regression
606        95 195.8575 176.90922 182.4344      Linear regression
607       259 190.2687 216.50574 205.2032      Linear regression
608       234 184.7423 180.38425 179.5365      Linear regression
609       193 181.2813 176.47313 169.9532      Linear regression
610       234 188.9566 177.50692 187.1313      Linear regression
611       261 191.9544 197.11211 192.5072      Linear regression
612       153 195.3632 176.57651 181.2643      Linear regression
613        78 188.1495 229.50115 221.9819      Linear regression
614       120 163.8648 135.96330 140.4280      Linear regression
615        84 185.5272 184.06993 181.7581      Linear regression
616       224 184.6178 182.58220 185.1787      Linear regression
617       194 188.6705 181.81930 181.0081      Linear regression
618       228 187.9471 191.06745 184.8445      Linear regression
619         3 186.2795 240.99584 222.0351      Linear regression
620       241 187.5229 177.68520 185.1403      Linear regression
621       242 187.1510 178.22010 184.9475      Linear regression
622       248 189.9606 192.43901 187.6597      Linear regression
623       228 180.5384 189.51026 192.1675      Linear regression
624       170 168.2204 150.38257 144.8528      Linear regression
625       242 189.7231 186.61335 188.4541      Linear regression
626        94 186.6635 238.41268 220.0590      Linear regression
627       115 195.7736 171.16272 177.5296      Linear regression
628       166 186.5574 185.15761 181.9147      Linear regression
629       264 190.0765 205.44032 209.2210      Linear regression
630       166 192.4996 180.28143 183.1806      Linear regression
631       183 157.9398 161.00606 155.3196      Linear regression
632       230 187.2036 179.49101 179.2722      Linear regression
633       231 180.6251 196.00568 200.9908      Linear regression
634       258 192.1341 206.02981 199.5349      Linear regression
635       172 184.1986 190.56074 195.4146      Linear regression
636       181 195.0062 167.78475 173.3619      Linear regression
637       216 173.7634 189.76811 189.2476      Linear regression
638       173 187.7109 210.09769 208.4321      Linear regression
639       236 184.8943 180.16537 178.7605      Linear regression
640       220 171.4911 201.52526 194.7759      Linear regression
641       239 185.1387 182.58324 176.1432      Linear regression
642       252 192.2059 185.42526 189.3700      Linear regression
643       226 189.3903 176.49846 186.3199      Linear regression
644       256 192.1373 179.73725 186.0233      Linear regression
645       134 180.9885 179.66691 174.4029      Linear regression
646       244 188.5015 180.66071 189.2590      Linear regression
647       240 187.5396 189.46020 191.8866      Linear regression
648       139 192.6517 176.63361 182.0221      Linear regression
649       250 192.7131 176.50877 181.6074      Linear regression
650       125 164.0232 136.87692 141.0899      Linear regression
651       219 179.9539 181.52006 183.5494      Linear regression
652       256 190.7245 183.92432 190.4066      Linear regression
653       210 178.7314 177.49814 183.6265      Linear regression
654       248 189.7771 185.80645 189.3420      Linear regression
655        10 181.1544 187.25269 184.0789      Linear regression
656       238 185.9107 181.27967 187.0434      Linear regression
657       217 193.9105 184.42080 187.4927      Linear regression
658        73 196.0419 165.35822 173.1159      Linear regression
659       220 188.7400 175.30033 182.8283      Linear regression
660       220 171.9565 208.49686 201.7279      Linear regression
661        40 190.1132 200.34865 195.0884      Linear regression
662       240 185.2900 182.01473 176.3392      Linear regression
663       212 188.6482 176.62031 181.0123      Linear regression
664       264 188.6601 211.83157 181.4782      Linear regression
665       229 189.5663 178.62029 187.3545      Linear regression
666       237 186.2367 180.75758 177.8826      Linear regression
667       225 188.7089 220.95193 209.0595      Linear regression
668       221 188.6404 186.42091 193.0858      Linear regression
669       183 190.3297 172.88457 181.9749      Linear regression
670       242 190.4160 191.58475 187.4029      Linear regression
671       145 195.3476 192.59836 191.2736      Linear regression
672       169 190.4231 173.54878 181.3637      Linear regression
673       175 191.3018 172.68093 182.7163      Linear regression
674       143 186.6950 216.15170 207.5171      Linear regression
675       114 195.9271 157.64548 166.0640      Linear regression
676       166 187.2527 182.69046 187.6253      Linear regression
677       222 181.5541 180.89337 175.0407      Linear regression
678       223 190.5702 182.30732 186.6908      Linear regression
679        22 192.7341 170.27619 179.8791      Linear regression
680       263 191.1250 205.26522 197.6694      Linear regression
681       253 192.4918 177.97521 182.6497      Linear regression
682       145 193.1746 184.63811 183.4327      Linear regression
683       107 190.7300 178.28618 182.2088      Linear regression
684       240 185.2861 179.91729 178.7189      Linear regression
685        71 194.1112 235.51746 232.7053      Linear regression
686       247 192.8404 188.77872 187.1731      Linear regression
687       204 189.8794 173.57786 183.2864      Linear regression
688       154 174.9203 148.07664 152.9818      Linear regression
689       221 193.6885 205.68992 201.9922      Linear regression
690       217 186.4144 192.22081 183.2180      Linear regression
691       225 193.7688 177.15415 182.7057      Linear regression
692       241 187.1692 177.84575 183.7245      Linear regression
693         5 194.9860 201.15700 190.6070      Linear regression
694       139 195.6042 167.56198 174.1660      Linear regression
695       182 187.8621 216.97576 210.7950      Linear regression
696       213 191.6836 188.11908 185.8683      Linear regression
697       144 181.4044 181.27335 176.5646      Linear regression
698       186 183.0775 184.07902 183.3916      Linear regression
699       111 193.8306 188.76685 184.2739      Linear regression
700       128 195.6158 179.23234 183.8975      Linear regression
701       187 178.3421 167.34173 171.0940      Linear regression
702       254 190.2621 194.22302 195.0562      Linear regression
703       235 183.1902 183.93502 175.4001      Linear regression
704       244 193.0629 176.02062 179.6339      Linear regression
705       202 192.5837 195.08069 187.1156      Linear regression
706        80 195.8378 220.07201 213.6639      Linear regression
707       100 177.0074 152.04669 155.3398      Linear regression
708       241 186.1361 179.79231 184.6273      Linear regression
709       170 186.8446 183.93422 181.8539      Linear regression
710        20 168.9817 114.58836 104.8962      Linear regression
711       254 190.4631 189.84533 189.2069      Linear regression
712        19 185.6758 179.61837 180.1973      Linear regression
713       229 180.4522 191.65363 195.6596      Linear regression
714       234 183.5358 182.27902 174.1048      Linear regression
715       114 186.8096 237.02624 219.5836      Linear regression
716       241 189.4647 194.79267 197.6111      Linear regression
717       199 183.9733 185.70224 188.6307      Linear regression
718       233 184.4010 180.35104 177.3424      Linear regression
719        32 179.7074 175.16942 170.2307      Linear regression
720       221 189.9113 176.77299 186.1727      Linear regression
721       149 178.1743 161.46183 162.9788      Linear regression
722       239 192.4716 195.51216 192.2540      Linear regression
723       206 172.3117 176.77028 172.2628      Linear regression
724       169 157.9237 167.28244 154.7235      Linear regression
725       236 187.1909 189.73826 192.4623      Linear regression
726       112 191.7305 170.85276 180.7425      Linear regression
727       240 185.3040 180.16591 177.6364      Linear regression
728       220 188.5338 184.52859 190.1778      Linear regression
729       243 186.7097 179.00510 185.0913      Linear regression
730       239 193.1278 178.03540 183.9782      Linear regression
731       250 189.6222 192.56348 187.8285      Linear regression
732       234 186.5979 187.57607 193.6069      Linear regression
733       233 189.6477 180.12948 187.7640      Linear regression
734       237 189.2217 206.81575 202.8108      Linear regression
735       232 182.2633 186.67852 180.4321      Linear regression
736       249 188.6107 189.53132 201.7868      Linear regression
737       230 182.2186 183.48948 176.4415      Linear regression
738        39 176.1208 144.34122 148.4115      Linear regression
739       246 192.5292 218.03194 211.7510      Linear regression
740       162 192.9329 185.56772 183.9557      Linear regression
741        41 190.5194 187.11686 186.3659      Linear regression
742       259 190.0653 217.37845 207.3685      Linear regression
743        59 184.5294 190.79619 191.2567      Linear regression
744       233 184.8722 191.58455 181.9824      Linear regression
745       153 178.8657 165.41326 164.4711      Linear regression
746       107 181.7521 186.68134 184.4198      Linear regression
747       155 192.9751 184.39039 183.5832      Linear regression
748       243 189.2012 221.58407 207.8067      Linear regression
749        23 177.3089 154.13729 156.0116      Linear regression
750       203 172.6400 230.75250 223.7801      Linear regression
751       241 188.4408 192.90969 186.2477      Linear regression
752       209 179.5713 176.43440 178.0673      Linear regression
753        20 172.9430 123.78665 123.1313      Linear regression
754       181 182.1824 180.64847 175.9864      Linear regression
755       225 184.2413 206.99347 200.9195      Linear regression
756       233 188.5073 220.25813 208.7133      Linear regression
757       156 186.8734 229.18152 222.9065      Linear regression
758       224 188.8219 195.29353 199.1559      Linear regression
759       145 176.4166 151.99690 157.4071      Linear regression
760       216 183.9625 182.20710 182.2178      Linear regression
761       189 189.9090 173.98151 181.6682      Linear regression
762       198 185.6212 191.36235 194.8938      Linear regression
763       256 192.3318 193.94055 190.4967      Linear regression
764        93 168.5706 123.59868 114.9190      Linear regression
765       175 194.6770 199.24536 194.7633      Linear regression
766       114 194.2574 196.96542 187.9067      Linear regression
767       195 174.1794 245.16368 238.5642      Linear regression
768       235 187.6224 192.02820 189.1292      Linear regression
769       198 174.1599 243.39870 237.0032      Linear regression
770       237 187.2383 177.69712 181.5340      Linear regression
771       199 194.5292 179.80897 182.4097      Linear regression
772       165 176.8653 157.70812 163.5957      Linear regression
773       178 172.1850 154.50197 150.7048      Linear regression
774       238 187.0221 178.00706 181.2825      Linear regression
775       254 190.7931 194.24271 189.1980      Linear regression
776       217 178.0453 241.94115 255.1790      Linear regression
777       189 184.8068 190.37157 195.7003      Linear regression
778       129 182.7647 190.18846 191.8564      Linear regression
779       166 193.5272 196.12115 187.4672      Linear regression
780       213 179.7565 178.39880 179.9927      Linear regression
781       203 164.4895 169.10280 175.3816      Linear regression
782       222 178.4884 188.89780 199.2619      Linear regression
783       246 192.9242 189.34309 187.6314      Linear regression
784       198 172.9249 169.85665 167.7542      Linear regression
785        12 162.4699 126.75972 132.8920      Linear regression
786       232 180.6906 198.63049 204.3647      Linear regression
787       158 189.1193 189.78330 185.5766      Linear regression
788       244 192.7567 212.69194 206.7412      Linear regression
789       132 195.7660 169.23909 174.6264      Linear regression
790       246 190.2732 193.35544 187.4084      Linear regression
791       254 192.4301 197.92018 193.4613      Linear regression
792       151 181.3779 180.12081 174.9855      Linear regression
793       226 193.8147 177.13685 179.4286      Linear regression
794        35 182.7771 193.63096 196.4895      Linear regression
795       140 186.7924 226.93820 212.0308      Linear regression
796       173 194.5673 227.07172 218.2769      Linear regression
797       225 179.1045 191.31156 200.7384      Linear regression
798       110 186.8591 227.38048 217.6266      Linear regression
799       105 190.4556 182.15363 183.5570      Linear regression
800        63 185.0507 187.11721 185.3639      Linear regression
801       214 194.1535 178.87415 181.0721      Linear regression
802       177 187.1594 211.15677 205.7436      Linear regression
803       259 191.5092 183.69189 189.2208      Linear regression
804       173 185.5827 200.38794 155.1678      Linear regression
805       219 171.9676 195.26880 188.9742      Linear regression
806       153 192.2931 175.29696 182.2552      Linear regression
807       251 190.1911 186.32768 189.6041      Linear regression
808       173 193.7792 201.36297 190.5668      Linear regression
809       205 168.4045 200.63001 203.6823      Linear regression
810       226 183.8589 180.55604 177.3017      Linear regression
811       255 190.2364 204.48324 198.7224      Linear regression
812       240 189.1269 187.15539 186.8793      Linear regression
813       229 181.0041 189.21102 189.3966      Linear regression
814       241 190.5658 192.39695 187.2916      Linear regression
815       173 182.5515 183.54203 181.3171      Linear regression
816       141 173.8995 252.08398 245.5080      Linear regression
817       238 187.2083 188.69892 192.7248      Linear regression
818       180 195.0711 163.31840 169.8382      Linear regression
819       237 183.5293 189.68921 181.1332      Linear regression
820       129 162.4570 141.29001 147.8569      Linear regression
821       124 194.3479 199.79605 189.5782      Linear regression
822         7 196.2844 180.57460 182.4331      Linear regression
823       147 185.8263 136.22640 171.8642      Linear regression
824       236 188.2550 198.81697 203.2821      Linear regression
825       233 192.9038 194.54036 192.4548      Linear regression
826       222 185.2156 200.67754 191.3136      Linear regression
827       109 179.5743 171.23696 166.8786      Linear regression
828       132 195.7526 159.82823 167.7347      Linear regression
829        52 185.0366 133.49900 161.1513      Linear regression
830       245 187.6855 181.17326 189.8385      Linear regression
831       250 189.4365 192.50822 187.9457      Linear regression
832       258 190.6397 202.63960 196.9292      Linear regression
833       151 185.5107 190.15749 188.5163      Linear regression
834       242 185.8441 179.40546 181.0384      Linear regression
835       213 179.6630 178.15226 180.1232      Linear regression
836       214 180.6705 178.41392 175.1967      Linear regression
837       245 187.5874 179.50357 188.2337      Linear regression
838       241 186.1035 179.11089 181.3494      Linear regression
839       206 179.6919 175.67966 176.2768      Linear regression
840       226 188.8815 175.61995 184.9960      Linear regression
841       236 187.5711 191.50213 190.2794      Linear regression
842       207 180.9116 176.59196 171.3479      Linear regression
843       238 186.9011 178.33349 180.5574      Linear regression
844       145 187.0317 184.21706 190.4062      Linear regression
845       210 192.3664 195.86314 187.4347      Linear regression
846       180 194.7076 193.37900 192.0420      Linear regression
847       148 184.7918 192.50511 194.8670      Linear regression
848       218 177.4237 238.46382 249.2693      Linear regression
849       225 175.7970 204.53577 211.5117      Linear regression
850       186 187.2546 204.88961 203.7152      Linear regression
851        62 185.3741 134.45184 172.4318      Linear regression
852       226 181.2684 184.33826 181.0676      Linear regression
853        20 194.2568 183.17210 181.8442      Linear regression
854       240 193.2144 173.61119 178.8745      Linear regression
855        61 196.1069 163.17551 171.3518      Linear regression
856       199 183.5209 183.95926 184.3672      Linear regression
857       211 189.4976 174.13220 183.3987      Linear regression
858        39 186.2904 184.35711 190.7201      Linear regression
859       104 185.1576 188.26371 186.5278      Linear regression
860       212 173.6034 230.47499 224.3939      Linear regression
861       247 188.1086 164.57306 191.2475      Linear regression
862        71 172.7801 126.28184 125.0693      Linear regression
863       261 189.6308 201.56931 207.2398      Linear regression
864       226 193.8696 171.12734 175.5301      Linear regression
865       237 185.3479 180.50154 183.0000      Linear regression
866       225 177.4684 224.23315 236.5542      Linear regression
867       238 184.0347 187.77059 178.5978      Linear regression
868       107 191.6416 171.21166 180.7297      Linear regression
869       249 192.7769 184.59893 184.4350      Linear regression
870       204 191.8873 186.46344 185.3415      Linear regression
871        31 195.4339 207.04302 196.3836      Linear regression
872       210 186.2312 200.73885 190.8714      Linear regression
873       165 162.4688 151.76438 158.3090      Linear regression
874       145 186.2186 162.41006 187.7331      Linear regression
875       190 186.6841 210.69284 201.3507      Linear regression
876        18 170.4174 116.27216 108.1078      Linear regression
877       146 195.5403 164.03878 171.0426      Linear regression
878       202 175.3166 172.27717 178.8850      Linear regression
879       251 190.4333 196.16866 187.3673      Linear regression
880       129 186.1996 178.54855 193.5926      Linear regression
881       133 186.3343 187.58902 196.9577      Linear regression
882       217 193.7855 207.97032 203.9618      Linear regression
883       250 189.4436 194.44344 186.8961      Linear regression
884       220 188.5604 184.75329 190.6882      Linear regression
885       163 181.6092 180.12762 175.0124      Linear regression
886        51 186.5433 233.73349 220.6080      Linear regression
887        90 179.2041 169.19528 165.5870      Linear regression
888       208 185.8641 190.95309 194.6244      Linear regression
889       263 189.7593 194.22827 206.2680      Linear regression
890       242 189.1532 188.47001 186.4001      Linear regression
891       208 189.8894 173.87327 183.8958      Linear regression
892       115 195.8223 167.61097 174.6204      Linear regression
893       226 180.7199 186.63028 187.0758      Linear regression
894       167 180.7376 175.11836 169.2063      Linear regression
895        50 186.4761 239.48005 221.2534      Linear regression
896       258 190.9119 185.50187 190.3506      Linear regression
897       203 185.9926 209.22880 200.2273      Linear regression
898       166 194.7779 200.88752 195.3977      Linear regression
899       213 185.9056 201.38532 191.6009      Linear regression
900       233 182.8312 184.77125 176.6852      Linear regression
901       228 188.3143 188.35885 184.3292      Linear regression
902       228 183.3621 180.51907 173.5130      Linear regression
903       179 173.5237 245.23079 238.0988      Linear regression
904       197 187.2660 186.01443 197.8403      Linear regression
905       247 192.8555 175.63959 181.2725      Linear regression
906       234 182.3369 198.83195 196.8583      Linear regression
907       161 181.4580 179.54525 174.1812      Linear regression
908       197 194.2986 208.86936 205.2052      Linear regression
909       211 194.1908 179.45416 183.9364      Linear regression
910       182 186.9260 179.78831 195.2241      Linear regression
911       257 192.1719 179.48842 184.4003      Linear regression
912       236 193.2063 201.21847 197.4926      Linear regression
913       247 192.8932 186.10220 185.3612      Linear regression
914       177 181.8577 179.80675 174.5217      Linear regression
915       239 193.0368 207.04796 202.1388      Linear regression
916       189 194.1083 202.75004 195.1380      Linear regression
917        82 185.7708 181.66771 180.3983      Linear regression
918       159 181.4082 179.50469 174.1330      Linear regression
919       190 177.7349 166.82669 172.9215      Linear regression
920       160 183.0697 188.05840 189.6468      Linear regression
921       139 186.3843 181.96028 181.1639      Linear regression
922       242 186.3930 180.53110 187.1813      Linear regression
923       217 171.8906 193.23507 186.9265      Linear regression
924       246 187.7417 181.07146 189.7694      Linear regression
925       194 192.8570 195.62403 187.2928      Linear regression
926       243 192.8850 204.22432 199.4388      Linear regression
927       172 185.7552 191.24937 190.1853      Linear regression
928       226 188.0927 176.51136 181.8602      Linear regression
929       223 184.9064 183.74139 188.2250      Linear regression
930       115 187.5960 232.96471 226.4828      Linear regression
931       185 176.5857 162.87095 170.3695      Linear regression
932       180 187.1693 209.68815 200.1574      Linear regression
933       154 180.1887 172.96393 167.8034      Linear regression
934       208 167.1292 177.04081 178.0455      Linear regression
935       260 190.4304 214.52864 203.6270      Linear regression
936       126 183.1724 191.83740 195.0699      Linear regression
937       219 172.9830 217.35184 211.2758      Linear regression
938       186 194.2710 201.98219 195.2895      Linear regression
939       163 174.8158 150.88799 155.7399      Linear regression
940       137 186.5911 210.53200 205.3580      Linear regression
941       184 163.3509 159.58510 166.1057      Linear regression
942       200 184.3032 186.89003 191.2769      Linear regression
943       182 181.3884 177.25353 170.9244      Linear regression
944       196 188.6694 181.01137 180.7991      Linear regression
945       209 188.4388 210.24162 206.5398      Linear regression
946       171 181.4570 178.44985 172.6109      Linear regression
947       216 174.6305 187.74059 191.0897      Linear regression
948        24 175.9683 142.94484 147.0573      Linear regression
949       249 189.7464 191.56114 187.9666      Linear regression
950       224 193.4668 191.37861 191.4483      Linear regression
951       242 186.9529 178.08724 183.1544      Linear regression
952       135 193.7797 192.09451 185.6284      Linear regression
953       112 189.2105 201.34743 194.3087      Linear regression
954       215 167.7792 190.05088 191.5919      Linear regression
955       200 171.8769 170.99411 165.6785      Linear regression
956       195 188.1611 186.97368 182.3291      Linear regression
957       242 187.8055 189.76249 191.2563      Linear regression
958        50 183.9639 193.13874 195.8464      Linear regression
959       239 186.4774 182.69649 190.3511      Linear regression
960       133 187.4156 230.22563 223.4091      Linear regression
961       129 195.7482 175.58877 179.4283      Linear regression
962        40 196.4366 154.59157 163.0093      Linear regression
963       190 180.7013 174.55271 168.9757      Linear regression
964       152 189.0884 191.66813 186.7395      Linear regression
965       196 193.4261 202.75307 192.0205      Linear regression
966        99 186.7098 237.22855 220.2381      Linear regression
967       206 186.3322 180.38194 163.6738      Linear regression
968       129 169.6094 131.66190 123.1971      Linear regression
969       247 188.2093 187.06603 191.0797      Linear regression
970       235 183.7596 195.13336 187.1464      Linear regression
971       113 169.1684 127.82059 119.1141      Linear regression
972       131 192.9937 178.95030 182.0931      Linear regression
973        20 181.3074 188.29697 185.7032      Linear regression
974       175 175.3978 156.36994 162.5938      Linear regression
975        90 195.9677 167.42891 174.7453      Linear regression
976       104 193.7083 185.32635 183.1228      Linear regression
977       239 186.9080 185.73264 192.7079      Linear regression
978        58 194.7763 200.66001 190.2228      Linear regression
979       139 188.7695 201.78055 193.9809      Linear regression
980       210 194.3300 169.81072 174.3764      Linear regression
981       240 186.2554 181.05718 187.6880      Linear regression
982       176 194.5736 222.18569 214.9759      Linear regression
983       220 189.7887 176.13549 185.9156      Linear regression
984        30 177.2600 153.84522 155.6888      Linear regression
985       261 191.8213 210.43033 202.9197      Linear regression
986       174 181.8045 179.75109 174.4384      Linear regression
987       252 190.2513 185.12344 190.1731      Linear regression
988       246 188.0550 180.99759 189.6812      Linear regression
989       169 186.2428 188.36459 184.5798      Linear regression
990       208 179.3618 176.31851 179.0031      Linear regression
991       109 186.6640 185.15660 191.6301      Linear regression
992       224 180.6518 184.27967 183.9855      Linear regression
993       197 193.5988 203.40435 193.4221      Linear regression
994       236 188.1342 192.38343 186.0818      Linear regression
995       234 181.7182 196.71672 196.7048      Linear regression
996       190 188.3698 186.50691 182.4345      Linear regression
997       237 184.3876 188.16018 178.8651      Linear regression
998       223 183.1788 180.01169 173.9668      Linear regression
999       217 188.6323 199.62323 201.6213      Linear regression
1000       95 175.6430 142.67422 147.2947      Linear regression
1001      163 173.2101 147.96678 147.8780      Linear regression
1002      115 174.4360 138.10018 141.5851      Linear regression
1003      211 184.4950 185.13495 189.2458      Linear regression
1004       22 196.3510 153.17614 162.2837      Linear regression
1005      183 173.8068 158.44992 160.1979      Linear regression
1006       60 168.7341 114.73802 105.1206      Linear regression
1007      244 187.8984 186.92955 191.6299      Linear regression
1008      251 192.5780 196.15006 192.3069      Linear regression
1009      189 163.4567 161.62019 168.1705      Linear regression
1010      166 176.1934 155.66770 162.1543      Linear regression
1011      216 188.1764 184.59732 185.4936      Linear regression
1012      224 192.9163 200.47465 193.0512      Linear regression
1013      224 180.2648 185.93053 188.3758      Linear regression
1014      215 167.3021 185.34173 187.4783      Linear regression
1015      206 168.1409 198.38117 201.7183      Linear regression
1016      245 189.2651 190.69758 186.1196      Linear regression
1017       22 182.2083 192.28507 193.2823      Linear regression
1018      216 174.4880 188.43792 191.1166      Linear regression
1019      202 184.7461 188.18946 193.7526      Linear regression
1020      180 187.6476 184.04933 189.8961      Linear regression
1021      146 187.1332 188.34887 195.0029      Linear regression
1022      104 181.3843 184.50755 180.8731      Linear regression
1023      218 182.4127 179.38002 171.9261      Linear regression
1024      117 183.7345 193.34683 197.3751      Linear regression
1025      214 187.2746 190.45200 185.1421      Linear regression
1026      119 184.9162 206.30467 149.1035      Linear regression
1027      248 188.7926 188.13770 189.9243      Linear regression
1028      195 187.9759 229.12033 213.4463      Linear regression
1029       76 184.8758 189.11398 188.1927      Linear regression
1030      137 186.9658 186.03172 192.6195      Linear regression
1031      225 175.3749 209.51154 214.0022      Linear regression
1032      269 189.2209 208.31003 187.2153      Linear regression
1033      204 185.5173 190.53252 195.3441      Linear regression
1034       30 196.5858 152.25526 162.1682      Linear regression
1035      212 173.7935 183.51094 183.6987      Linear regression
1036      263 190.8718 212.63726 202.8160      Linear regression
1037      228 180.4744 189.91482 193.0669      Linear regression
1038      173 182.4534 182.98175 180.2191      Linear regression
1039      239 187.7590 177.27193 185.0472      Linear regression
1040      185 176.8919 163.32880 170.5653      Linear regression
1041      205 168.9492 203.78533 204.9342      Linear regression
1042      250 189.4052 193.55195 187.5009      Linear regression
1043      233 183.8733 180.62972 174.6155      Linear regression
1044      136 187.0405 191.98509 198.1825      Linear regression
1045       90 187.9238 231.86519 224.8631      Linear regression
1046      180 194.6519 195.85540 193.2959      Linear regression
1047      234 185.4427 186.73629 178.3307      Linear regression
1048      152 175.7356 150.64717 156.5018      Linear regression
1049      105 191.0271 175.45970 181.4743      Linear regression
1050      224 192.9799 232.80115 224.3844      Linear regression
1051      191 165.0309 163.29602 167.9903      Linear regression
1052      246 188.2859 181.95897 190.0261      Linear regression
1053      186 183.9551 187.65743 191.4573      Linear regression
1054      228 188.9255 187.08512 193.7462      Linear regression
1055      194 174.0205 165.73233 167.9964      Linear regression
1056      191 171.3545 164.35951 158.1896      Linear regression
1057      219 193.9645 186.73128 187.0355      Linear regression
1058      176 187.3886 228.97436 212.6569      Linear regression
1059      162 186.9842 223.82780 216.2680      Linear regression
1060      154 184.7986 192.53884 195.4074      Linear regression
1061      165 158.4142 174.52882 157.2618      Linear regression
1062      247 188.2325 184.92223 190.9272      Linear regression
1063      197 194.5263 183.78667 185.6436      Linear regression
1064      213 173.9977 185.71897 186.5549      Linear regression
1065      164 184.3946 191.84941 196.5490      Linear regression
1066      236 183.0706 190.86159 183.4922      Linear regression
1067      238 186.9521 178.10989 181.1714      Linear regression
1068      253 190.3632 187.76434 189.4269      Linear regression
1069      215 172.5733 221.39685 214.5194      Linear regression
1070      242 186.3721 180.07675 186.2469      Linear regression
1071      243 188.7095 193.14487 185.9472      Linear regression
1072      202 190.4900 174.17426 184.2534      Linear regression
1073      106 183.1736 192.80754 196.2582      Linear regression
1074      212 193.7020 197.24627 193.6800      Linear regression
1075      163 195.0862 192.44688 193.5451      Linear regression
1076      235 183.0897 197.61027 192.2104      Linear regression
1077       20 176.1018 143.42337 147.1794      Linear regression
1078      194 164.4531 164.67918 170.5451      Linear regression
1079      226 193.7504 186.35816 186.3839      Linear regression
1080      220 184.7060 183.94366 187.9581      Linear regression
1081      198 187.6940 219.43600 208.6510      Linear regression
1082      226 176.5920 208.86583 218.7945      Linear regression
1083      248 189.0182 193.27318 187.5837      Linear regression
1084      224 174.9722 203.21069 206.5515      Linear regression
1085      215 188.3816 177.33149 180.6775      Linear regression
1086      200 180.0993 174.32348 171.8735      Linear regression
1087      183 169.3482 158.32731 151.5216      Linear regression
1088      258 191.9612 180.01878 185.9477      Linear regression
1089      154 187.0340 226.89134 219.8795      Linear regression
1090      266 190.8392 212.78182 212.1493      Linear regression
1091      196 192.7544 226.12982 220.7241      Linear regression
1092      250 190.0128 186.00122 189.5461      Linear regression
1093      212 186.6686 191.71569 189.9323      Linear regression
1094      112 170.1971 127.22601 119.0446      Linear regression
1095      203 194.3696 184.75584 186.1498      Linear regression
1096      126 191.9945 170.93965 181.0516      Linear regression
1097        3 185.3782 181.22701 180.1412      Linear regression
1098      234 190.9451 191.81036 187.0146      Linear regression
1099      197 186.0367 191.77328 192.4125      Linear regression
1100      258 190.1117 217.45406 205.8861      Linear regression
1101      223 186.3900 188.54751 180.5537      Linear regression
1102      265 188.7477 209.95764 182.5213      Linear regression
1103      264 191.4193 205.69295 198.0920      Linear regression
1104      129 177.7500 157.92283 159.9432      Linear regression
1105      226 176.1575 213.68794 221.3999      Linear regression
1106      238 187.3601 177.42784 182.5516      Linear regression
1107      174 182.2445 181.86445 178.0849      Linear regression
1108      219 187.9235 204.63912 204.2947      Linear regression
1109      135 185.6755 187.27185 184.3918      Linear regression
1110      167 186.2280 188.25077 184.4831      Linear regression
1111       79 176.2915 146.32035 150.4709      Linear regression
1112      167 158.9389 178.97932 160.2964      Linear regression
1113      181 187.8412 194.88902 200.0368      Linear regression
1114      166 187.5640 209.09453 208.2886      Linear regression
1115      190 187.9023 185.73535 192.2656      Linear regression
1116      229 193.7452 174.46151 177.6054      Linear regression
1117      219 187.9565 178.58417 180.0617      Linear regression
1118      106 186.3838 180.46918 183.9890      Linear regression
1119      233 185.2741 181.93239 186.1534      Linear regression
1120      230 185.7996 185.18765 192.0867      Linear regression
1121      179 172.3758 235.23882 229.9352      Linear regression
1122      197 185.3559 223.41475 219.0526      Linear regression
1123      156 187.3075 189.54543 196.1061      Linear regression
1124      229 188.2894 188.89042 184.2713      Linear regression
1125      229 180.7452 191.30429 193.7163      Linear regression
1126      214 187.7647 200.61402 202.9715      Linear regression
1127      169 182.2948 182.75214 179.5953      Linear regression
1128      254 190.3080 195.11591 187.7546      Linear regression
1129      230 188.9681 189.38227 195.5408      Linear regression
1130      232 189.1843 177.81762 187.2763      Linear regression
1131      221 172.3706 202.94915 196.8481      Linear regression
1132      179 191.7303 175.99568 183.3791      Linear regression
1133       69 190.6149 183.44169 184.4239      Linear regression
1134      114 176.2679 147.68458 152.3148      Linear regression
1135      246 187.8663 183.01461 190.8331      Linear regression
1136      262 190.3203 215.76035 208.4226      Linear regression
1137      208 180.0160 176.18028 175.2421      Linear regression
1138       30 151.2823  81.59575 122.4381      Linear regression
1139       20 196.4854 172.96513 176.6475      Linear regression
1140      114 195.8206 168.18884 175.1088      Linear regression
1141      226 176.4071 207.05565 216.3802      Linear regression
1142      218 178.2907 240.04750 254.3974      Linear regression
1143      188 192.3549 186.27918 184.7623      Linear regression
1144      148 192.9619 182.44599 183.0714      Linear regression
1145      212 168.7795 183.19790 179.8754      Linear regression
1146      146 184.0897 192.60623 196.9684      Linear regression
1147      191 179.5222 171.22348 170.2944      Linear regression
1148      110 185.4695 132.83103 168.9004      Linear regression
1149      194 164.6333 164.87931 170.4909      Linear regression
1150      228 188.4229 187.64942 184.6776      Linear regression
1151      162 165.1847 148.66492 151.3338      Linear regression
1152       60 181.1449 186.91656 183.6356      Linear regression
1153      207 170.2738 177.68841 170.9943      Linear regression
1154      236 187.5523 191.59985 190.1504      Linear regression
1155      193 194.4900 199.40959 198.1208      Linear regression
1156      255 192.3410 198.74706 193.9745      Linear regression
1157      139 186.6461 180.96226 183.3349      Linear regression
1158      245 188.7423 193.42261 186.8464      Linear regression
1159      188 189.6986 175.15128 181.2932      Linear regression
1160       44 185.7906 182.27523 194.4036      Linear regression
1161      216 186.4391 193.27101 184.0826      Linear regression
1162      116 169.7956 128.28277 119.7377      Linear regression
1163      147 187.2795 225.74966 218.2266      Linear regression
1164       90 183.8899 193.54315 197.0146      Linear regression
1165      233 185.6054 187.49708 178.9850      Linear regression
1166      212 172.3422 184.67342 179.7397      Linear regression
1167      176 175.5447 157.05014 163.5240      Linear regression
1168      222 184.0854 181.48376 180.8764      Linear regression
1169      214 186.6438 160.93121 169.5800      Linear regression
1170       35 191.9434 171.26891 180.4368      Linear regression
1171      239 193.2495 182.38045 182.9045      Linear regression
1172      173 176.7537 159.29550 165.8314      Linear regression
1173      230 186.7049 182.29125 178.3687      Linear regression
1174      185 165.3610 160.13738 163.7032      Linear regression
1175      236 184.9624 187.38661 178.3832      Linear regression
1176      255 189.5906 218.35768 207.8133      Linear regression
1177      164 162.3551 151.74397 158.2615      Linear regression
1178       18 154.0670 141.24934 133.0513      Linear regression
1179      244 186.9656 181.03677 189.1653      Linear regression
1180      113 192.7217 173.92556 181.1483      Linear regression
1181      207 166.7138 175.41110 177.4611      Linear regression
1182      238 185.8307 182.14644 177.1186      Linear regression
1183      226 188.8935 192.08407 197.3099      Linear regression
1184       83 176.5595 148.31175 152.1414      Linear regression
1185      245 187.5880 182.73728 190.8657      Linear regression
1186      137 161.9611 144.85789 151.4337      Linear regression
1187      263 188.2933 214.46712 177.8383      Linear regression
1188      263 191.4401 204.45369 197.2302      Linear regression
1189      246 187.9858 182.34713 190.4421      Linear regression
1190      121 195.9404 157.90061 165.6967      Linear regression
1191      173 173.1895 243.34250 236.8332      Linear regression
1192      107 178.0396 159.70935 160.2445      Linear regression
1193       45 189.3900 207.90857 200.3543      Linear regression
1194      141 163.9280 142.83777 147.7558      Linear regression
1195       37 170.6352 117.90444 110.2399      Linear regression
1196      203 180.0704 175.04429 173.1783      Linear regression
1197      260 191.3548 182.88115 188.3605      Linear regression
1198       60 186.5053 190.36173 196.8039      Linear regression
1199      112 184.2699 192.99848 195.8168      Linear regression
1200      226 177.2954 219.21026 231.1741      Linear regression
1201      154 175.9533 151.97579 157.9724      Linear regression
1202      250 191.6593 194.65982 191.0080      Linear regression
1203       21 183.3676 194.21664 197.7853      Linear regression
1204      238 185.2661 179.98269 180.3171      Linear regression
1205      215 189.8597 174.78791 184.9063      Linear regression
1206      239 193.2933 174.48824 178.3797      Linear regression
1207      234 190.5777 188.35607 187.2008      Linear regression
1208      256 189.4496 212.25703 207.8101      Linear regression
1209      235 185.6383 182.09016 187.6407      Linear regression
1210      214 188.8731 175.31335 182.0681      Linear regression
1211      237 189.7933 183.19511 188.1336      Linear regression
1212      213 175.4191 183.65655 190.4041      Linear regression
1213      222 180.6696 182.49151 181.2644      Linear regression
1214      237 184.8148 180.22500 177.5952      Linear regression
1215      250 189.9704 184.91845 190.4228      Linear regression
1216      263 191.2257 202.82984 196.1742      Linear regression
1217      237 184.0398 183.12418 174.9428      Linear regression
1218      264 189.6339 188.18703 203.9459      Linear regression
1219      216 182.4848 179.27539 172.0913      Linear regression
1220      248 192.7044 201.83796 197.0702      Linear regression
1221      128 169.7963 131.39304 122.9946      Linear regression
1222      122 186.7464 184.85165 191.2638      Linear regression
1223      183 191.0574 172.94710 183.0800      Linear regression
1224      239 184.4709 182.24762 175.1470      Linear regression
1225      213 191.8157 189.84438 186.0519      Linear regression
1226      130 194.9351 244.47615 228.7728      Linear regression
1227      162 187.3847 189.02960 195.6430      Linear regression
1228      182 181.7309 178.75086 172.8626      Linear regression
1229      212 186.2924 197.63431 187.8451      Linear regression
1230      237 190.2979 187.09122 187.5515      Linear regression
1231      249 189.5590 194.04645 186.3992      Linear regression
1232      240 187.8817 177.40357 185.7614      Linear regression
1233      249 189.4500 220.34257 206.9980      Linear regression
1234      165 162.9481 151.47297 157.9647      Linear regression
1235      215 188.3775 177.27348 180.7069      Linear regression
1236      227 188.4542 223.48891 209.6505      Linear regression
1237       60 188.4012 238.08051 231.8182      Linear regression
1238      218 184.9944 206.39619 198.3516      Linear regression
1239      224 175.1193 207.28559 210.8287      Linear regression
1240       44 180.5720 181.59932 176.6522      Linear regression
1241      196 180.8088 175.19693 169.6090      Linear regression
1242      206 181.7002 177.69942 170.7095      Linear regression
1243       76 195.7641 199.33457 194.8171      Linear regression
1244      160 187.4196 196.23366 201.2082      Linear regression
1245      253 192.0821 185.01347 189.2786      Linear regression
1246      161 182.6916 185.94204 185.4449      Linear regression
1247      160 177.0310 157.48503 162.8423      Linear regression
1248      261 191.9409 184.54703 186.1514      Linear regression
1249      166 189.5494 181.47714 182.0739      Linear regression
1250      206 173.9985 175.87678 177.4904      Linear regression
1251       40 190.3324 193.64975 190.3736      Linear regression
1252       10 181.2562 187.86051 185.0394      Linear regression
1253      155 195.1165 196.33844 193.4372      Linear regression
1254      121 194.1393 195.64026 187.2076      Linear regression
1255      118 186.3020 180.53750 181.7153      Linear regression
1256      197 194.4988 184.14460 186.7692      Linear regression
1257      223 191.6935 193.59717 186.8975      Linear regression
1258      196 163.7852 165.44016 172.0293      Linear regression
1259      158 185.0222 192.30002 194.2796      Linear regression
1260      239 189.4822 182.55585 188.5647      Linear regression
1261       73 196.0889 176.87668 179.9857      Linear regression
1262      203 183.4968 182.97281 182.4675      Linear regression
1263      216 184.1113 182.69348 183.7192      Linear regression
1264      190 156.7963 147.64222 149.9687      Linear regression
1265      234 182.8189 185.17282 177.1635      Linear regression
1266      238 185.6108 180.35794 183.7962      Linear regression
1267      175 183.1917 186.15698 187.1063      Linear regression
1268      160 186.4901 172.29723 191.8681      Linear regression
1269      152 170.8294 141.25609 134.3397      Linear regression
1270      123 178.5844 163.57767 162.5368      Linear regression
1271       49 196.1897 176.33524 179.4743      Linear regression
1272      238 189.2994 186.22492 192.8758      Linear regression
1273      186 172.5356 159.52234 156.6422      Linear regression
1274      162 187.4120 216.86909 207.9295      Linear regression
1275       48 186.5803 223.64368 217.0380      Linear regression
1276      152 182.4054 185.83020 184.5881      Linear regression
1277      124 186.2978 195.03187 199.5501      Linear regression
1278       40 196.2706 166.08996 174.1908      Linear regression
1279      121 182.1687 188.00948 187.2084      Linear regression
1280      145 193.9554 197.67443 188.2747      Linear regression
1281      188 174.2527 161.82348 165.0785      Linear regression
1282      241 185.6556 180.71864 177.2494      Linear regression
1283      237 186.9952 188.25798 193.1371      Linear regression
1284      235 185.1131 187.44143 178.5222      Linear regression
1285      172 188.1273 198.88190 190.6090      Linear regression
1286      256 191.0506 189.07102 190.1310      Linear regression
1287      134 181.4679 182.68713 178.5297      Linear regression
1288       82 196.1171 167.86552 173.2197      Linear regression
1289      227 180.4483 187.90262 190.3014      Linear regression
1290      230 185.7342 188.93636 180.1040      Linear regression
1291      239 188.9939 180.11999 188.5805      Linear regression
1292      175 175.2425 155.95135 161.8971      Linear regression
1293      217 187.0798 191.63871 187.8626      Linear regression
1294      105 184.8297 190.63132 190.5409      Linear regression
1295      246 192.4752 187.43786 190.0595      Linear regression
1296      176 194.9970 183.13706 185.6090      Linear regression
1297      174 171.0789 151.76427 145.2911      Linear regression
1298      181 192.9529 191.87199 185.8656      Linear regression
1299       89 190.8631 178.44270 182.3840      Linear regression
1300      147 173.4349 142.03779 142.8444      Linear regression
1301      156 177.7247 159.68900 163.0106      Linear regression
1302      126 186.0997 182.31285 180.7837      Linear regression
1303      156 195.4273 173.90843 178.5356      Linear regression
1304      228 188.5610 185.70004 185.9689      Linear regression
1305      224 188.7846 212.00318 206.0474      Linear regression
1306       20 184.6343 138.62664 155.3518      Linear regression
1307      160 188.4775 198.84759 191.0795      Linear regression
1308      183 178.1551 166.01747 170.0910      Linear regression
1309      257 189.8991 218.45192 206.8285      Linear regression
1310      107 193.1234 177.22884 181.4232      Linear regression
1311      239 188.6074 216.07268 207.7133      Linear regression
1312      167 188.1026 201.90425 193.1891      Linear regression
1313      222 192.1619 221.80041 216.0686      Linear regression
1314       39 190.8617 181.82564 183.9189      Linear regression
1315      168 191.3327 172.14603 182.3580      Linear regression
1316      194 162.2941 163.88464 169.8647      Linear regression
1317      185 187.9391 206.23712 206.1629      Linear regression
1318      217 173.0634 221.51798 215.2235      Linear regression
1319       41 185.0735 130.17887 164.0800      Linear regression
1320      215 174.0607 187.26099 188.2205      Linear regression
1321       40 181.2858 188.10889 185.4168      Linear regression
1322       92 195.9882 164.00293 171.8392      Linear regression
1323      170 163.9260 153.34655 159.0431      Linear regression
1324      239 186.7061 184.54370 192.1239      Linear regression
1325      188 187.3419 201.93101 192.4656      Linear regression
1326      159 193.9876 201.47072 190.6626      Linear regression
1327      165 184.6598 192.17244 196.4304      Linear regression
1328      148 191.0087 172.21249 181.2234      Linear regression
1329       70 178.1257 161.59893 160.8243      Linear regression
1330      239 189.2829 184.84940 190.4232      Linear regression
1331      215 187.3515 190.45455 185.0152      Linear regression
1332      238 193.3092 182.50536 183.0071      Linear regression
1333      151 181.6390 181.72154 177.3256      Linear regression
1334       30 174.9887 134.94451 138.7833      Linear regression
1335      178 186.5883 220.42153 212.6964      Linear regression
1336      140 187.0654 235.27076 218.2243      Linear regression
1337      224 185.5777 194.59794 184.8166      Linear regression
1338       40 196.1691 180.92394 186.1587      Linear regression
1339       47 195.7608 209.56788 206.7223      Linear regression
1340      196 179.3645 171.94256 172.4040      Linear regression
1341      171 190.1099 175.29774 181.2296      Linear regression
1342      251 190.0716 185.31318 190.0144      Linear regression
1343      237 189.2808 194.50874 197.9100      Linear regression
1344      237 188.9392 223.47657 208.9667      Linear regression
1345      101 196.0545 161.95210 168.7412      Linear regression
1346      126 186.0414 182.82338 180.8869      Linear regression
1347      249 189.0187 192.03773 188.4114      Linear regression
1348      220 191.6157 191.52298 186.5182      Linear regression
1349      246 192.8688 176.35771 182.5445      Linear regression
1350      249 189.7816 187.46284 188.4578      Linear regression
1351      110 185.9570 182.06041 180.6169      Linear regression
1352      187 181.0303 175.67983 169.4288      Linear regression
1353      234 188.8437 223.86287 209.3168      Linear regression
1354      230 185.8903 185.81085 192.7585      Linear regression
1355      224 177.3238 225.19624 236.9031      Linear regression
1356      266 190.8789 214.59756 211.2667      Linear regression
1357      212 192.6190 198.96738 188.8860      Linear regression
1358       73 194.6489 199.88844 189.6900      Linear regression
1359       98 157.6929 147.69049 144.5862      Linear regression
1360      247 189.3176 193.07780 186.0192      Linear regression
1361      210 186.9263 192.53433 184.0094      Linear regression
1362      249 190.3274 194.91066 187.3061      Linear regression
1363      260 190.1794 217.35128 206.4552      Linear regression
1364      127 190.2936 181.02309 182.8391      Linear regression
1365      189 173.7668 244.57657 237.3670      Linear regression
1366      120 186.8195 188.43511 195.0651      Linear regression
1367      214 190.1702 175.75587 185.4196      Linear regression
1368      217 168.9517 192.71154 190.3216      Linear regression
1369      188 190.8220 173.02462 183.2741      Linear regression
1370      197 188.0389 228.17916 213.1217      Linear regression
1371      237 185.2451 185.02942 177.1369      Linear regression
1372      198 189.7784 173.77815 182.1698      Linear regression
1373       20 194.0380 177.68131 180.2014      Linear regression
1374      153 180.6162 175.60191 169.8609      Linear regression
1375      212 168.1532 195.93044 197.8221      Linear regression
1376      250 191.8476 193.47641 191.2740      Linear regression
1377      176 195.0472 174.78367 179.2005      Linear regression
1378      110 168.7395 126.94636 118.4132      Linear regression
1379      255 188.1477 165.96712 185.5104      Linear regression
1380      228 182.2465 182.54815 175.2128      Linear regression
1381      215 174.0800 188.14238 189.1010      Linear regression
1382      247 190.1323 192.79396 187.5186      Linear regression
1383      252 190.2314 189.82674 188.7349      Linear regression
1384      202 183.6989 183.92833 184.8264      Linear regression
1385      215 190.7876 180.07943 185.9355      Linear regression
1386      115 176.7888 151.05241 155.0243      Linear regression
1387      104 162.6991 135.24539 141.4823      Linear regression
1388       66 186.6580 204.02624 206.7744      Linear regression
1389      160 194.9083 200.70853 195.3881      Linear regression
1390      195 179.7964 172.62947 170.9070      Linear regression
1391      216 194.1105 177.03401 179.5889      Linear regression
1392      142 192.1866 173.08149 181.7438      Linear regression
1393      137 177.2220 155.16714 158.9160      Linear regression
1394      144 195.6466 161.61953 168.7411      Linear regression
1395      237 188.9673 178.51641 187.8071      Linear regression
1396      174 191.3225 172.70285 182.7094      Linear regression
1397      198 178.3949 171.48105 176.7153      Linear regression
1398      140 190.5406 176.27433 181.4709      Linear regression
1399      187 171.5078 226.66053 222.8076      Linear regression
1400      247 189.6527 187.46820 188.1550      Linear regression
1401      190 183.5751 185.64653 187.3827      Linear regression
1402      235 182.2808 192.48898 188.2465      Linear regression
1403      184 187.0646 190.98112 199.0689      Linear regression
1404      239 187.2222 187.70260 192.7671      Linear regression
1405      231 193.5830 185.88321 185.7647      Linear regression
1406      204 182.6683 180.01781 174.8323      Linear regression
1407      229 183.8090 203.31149 197.4106      Linear regression
1408      235 193.4770 181.69941 182.5187      Linear regression
1409      189 190.9822 173.76702 183.6148      Linear regression
1410      216 177.9935 182.41179 192.1800      Linear regression
1411      161 178.5964 164.50629 165.1736      Linear regression
1412      226 176.6382 202.56741 212.9140      Linear regression
1413      190 186.6512 189.68308 185.3655      Linear regression
1414      208 179.0652 175.85967 179.8301      Linear regression
1415      193 184.0895 187.10312 191.0315      Linear regression
1416      174 181.1174 176.60048 170.4233      Linear regression
1417      254 191.9103 187.07054 190.0949      Linear regression
1418      245 189.4964 186.53730 188.2595      Linear regression
1419      201 190.0678 173.36384 183.3083      Linear regression
1420      244 190.0631 190.08310 187.8173      Linear regression
1421      216 188.0551 185.65195 184.3180      Linear regression
1422      217 188.4196 176.68005 181.0862      Linear regression
1423      163 182.5492 185.11600 183.8236      Linear regression
1424      191 176.9266 166.10861 173.8971      Linear regression
1425      118 189.0015 204.23890 196.4691      Linear regression
1426      182 194.2459 203.66438 195.3249      Linear regression
1427      217 173.6437 191.31373 190.1527      Linear regression
1428      156 184.6925 192.56265 196.0329      Linear regression
1429      233 184.6602 193.32941 183.8215      Linear regression
1430      185 187.0326 185.80653 182.3407      Linear regression
1431      112 172.7878 131.37496 130.1327      Linear regression
1432      149 186.7342 181.34425 182.8490      Linear regression
1433      168 178.3286 163.96427 166.1029      Linear regression
1434       34 191.8238 171.97040 180.6186      Linear regression
1435       70 196.1312 157.81820 166.6169      Linear regression
1436      229 180.9967 188.17773 187.9348      Linear regression
1437      105 172.1758 128.56427 125.3004      Linear regression
1438      232 181.2724 192.20548 192.3947      Linear regression
1439       28 160.5347 133.72247 139.8912      Linear regression
1440       18 195.0136 202.16760 191.3345      Linear regression
1441       41 179.5743 173.63649 168.9302      Linear regression
1442      249 189.7106 192.69094 186.8264      Linear regression
1443      231 180.2808 198.55979 206.0748      Linear regression
1444      224 175.9532 220.07524 226.0276      Linear regression
1445      251 190.0591 185.96382 192.3603      Linear regression
1446      226 180.5591 186.50875 187.7179      Linear regression
1447       30 164.9108 116.64865 116.1272      Linear regression
1448       88 191.1454 175.24153 181.4536      Linear regression
1449      233 188.7466 224.77613 209.7300      Linear regression
1450      188 170.7561 161.95832 155.0106      Linear regression
1451      115 188.1501 221.82353 213.3290      Linear regression
1452      117 160.6933 142.47519 148.0845      Linear regression
1453      149 176.6795 153.79412 159.0600      Linear regression
1454      213 186.4745 191.63615 191.8275      Linear regression
1455      118 188.0217 223.42521 215.1169      Linear regression
1456      132 171.2636 133.34500 127.3412      Linear regression
1457      188 194.6848 191.65396 192.2862      Linear regression
1458       74 189.7109 198.10946 192.5608      Linear regression
1459      133 177.2886 155.21549 158.6358      Linear regression
1460      197 190.9475 175.38010 184.3713      Linear regression
1461      177 188.7593 187.76260 183.7575      Linear regression
1462      246 192.8404 195.01613 191.7967      Linear regression
1463      224 191.2176 189.35180 186.5353      Linear regression
1464      227 180.2368 189.48564 193.6177      Linear regression
1465      237 187.3775 177.40205 182.6127      Linear regression
1466      199 172.2379 170.08473 165.7537      Linear regression
1467      189 174.0353 162.95528 165.3864      Linear regression
1468      170 173.2167 150.76494 150.6192      Linear regression
1469      231 186.5249 182.76040 178.1761      Linear regression
1470      167 195.3372 160.00265 167.4251      Linear regression
1471      171 195.2203 173.37070 178.3519      Linear regression
1472      162 182.2685 183.70028 181.0520      Linear regression
1473       70 192.0691 170.36034 180.3889      Linear regression
1474      181 161.8266 158.54893 164.2728      Linear regression
1475      255 190.6015 184.42426 190.8370      Linear regression
1476      119 179.8900 173.15227 168.2115      Linear regression
1477      222 179.7337 184.72549 189.2662      Linear regression
1478      226 176.3779 215.94403 224.4284      Linear regression
1479      196 178.9917 171.64442 174.0541      Linear regression
1480      233 183.4467 181.52641 173.6772      Linear regression
1481       30 184.2875 191.30185 192.3694      Linear regression
1482      227 189.8648 178.77407 187.0431      Linear regression
1483      137 187.7437 221.85022 213.4118      Linear regression
1484      238 193.3233 176.41570 179.1708      Linear regression
1485      244 189.3487 187.34580 187.4197      Linear regression
1486       51 177.3463 154.35878 156.3400      Linear regression
1487      244 188.6389 205.66942 205.5367      Linear regression
1488       10 182.6401 194.36625 197.1535      Linear regression
1489      231 187.9342 191.85778 185.6972      Linear regression
1490      229 187.5485 178.05805 180.2996      Linear regression
1491      204 192.3909 193.65289 186.6719      Linear regression
1492      187 164.2396 160.90108 166.7274      Linear regression
1493      195 176.2215 168.31104 176.5412      Linear regression
1494      258 191.6286 184.46593 189.3918      Linear regression
1495      201 179.3253 173.27767 174.6776      Linear regression
1496      156 191.8215 172.72801 182.1396      Linear regression
1497      106 188.3885 219.43799 210.7901      Linear regression
1498      227 182.0093 183.21027 176.6667      Linear regression
1499      187 188.6212 185.46761 182.3399      Linear regression
1500      264 191.1725 214.17436 214.1228      Linear regression
1501      241 188.4242 192.80326 186.0654      Linear regression
1502      167 185.5825 191.46320 191.0387      Linear regression
1503      215 178.2738 181.29352 190.1765      Linear regression
1504      239 188.0793 177.56805 186.4995      Linear regression
1505      252 191.3578 195.30041 190.3478      Linear regression
1506      216 168.2321 191.55249 191.6380      Linear regression
1507      112 186.3945 180.40002 183.2061      Linear regression
1508      155 194.2321 203.56239 192.4412      Linear regression
1509       81 195.8734 182.27964 186.7703      Linear regression
1510       90 183.2404 193.41520 197.0581      Linear regression
1511      214 182.5030 179.22666 172.2945      Linear regression
1512      109 185.7886 183.40683 181.1509      Linear regression
1513      237 184.1133 189.18362 179.9423      Linear regression
1514      196 191.1430 176.04763 184.3235      Linear regression
1515      220 193.8912 180.59161 185.0390      Linear regression
1516       94 174.2906 134.69357 137.7471      Linear regression
1517      166 185.5254 191.54575 191.3505      Linear regression
1518      244 187.1229 181.40078 189.7425      Linear regression
1519      199 187.5510 208.38827 205.0417      Linear regression
1520      105 180.9442 181.59286 176.7760      Linear regression
1521      239 185.0443 180.07451 178.3611      Linear regression
1522      222 177.2149 193.10577 204.5786      Linear regression
1523      208 185.7393 190.75895 194.9616      Linear regression
1524      246 189.0312 218.66755 208.1934      Linear regression
1525      138 189.4031 191.37373 187.1031      Linear regression
1526      152 190.0180 179.41622 181.9230      Linear regression
1527      235 182.6593 199.55773 196.4974      Linear regression
1528      240 187.4612 189.05332 192.1697      Linear regression
1529      242 188.9926 190.52757 185.5263      Linear regression
1530      143 176.5526 152.34208 157.5298      Linear regression
1531      256 190.8260 184.60136 190.0279      Linear regression
1532      247 188.1654 185.64763 191.1217      Linear regression
1533      256 192.3317 180.77606 183.6430      Linear regression
1534      176 173.7909 154.41996 156.2287      Linear regression
1535      254 190.4593 194.71919 188.2419      Linear regression
1536      242 187.5119 186.33145 192.2066      Linear regression
1537      183 186.9521 182.97075 196.3131      Linear regression
1538      217 193.8621 186.82117 188.9500      Linear regression
1539      213 187.6511 188.24256 183.4430      Linear regression
1540      248 189.1849 194.12691 186.5903      Linear regression
1541      255 192.3188 202.40316 196.8282      Linear regression
1542      119 169.5974 128.67953 120.0494      Linear regression
1543      105 186.8310 205.09553 207.2623      Linear regression
1544      115 182.8036 191.26871 193.4422      Linear regression
1545      130 177.9333 159.12654 160.5731      Linear regression
1546      243 188.1142 190.74359 190.1982      Linear regression
1547      198 186.9235 201.59947 191.8908      Linear regression
1548      168 195.2468 165.37009 171.7059      Linear regression
1549      207 194.2321 182.05064 185.6655      Linear regression
1550      220 188.6868 203.63246 203.2449      Linear regression
1551      219 188.7331 175.36503 182.5163      Linear regression
1552      121 180.7639 179.36512 174.0696      Linear regression
1553      171 192.8042 185.91842 184.1867      Linear regression
1554      242 186.6576 180.70643 188.1600      Linear regression
1555      226 177.5844 222.00905 234.8361      Linear regression
1556      164 185.5410 191.36957 190.8585      Linear regression
1557      246 188.7070 193.16328 187.4585      Linear regression
1558      227 189.3604 176.64206 186.4312      Linear regression
1559      216 179.6945 180.16627 182.9092      Linear regression
1560      261 190.0819 215.57137 208.3453      Linear regression
1561      219 187.5282 190.53230 184.8337      Linear regression
1562       53 169.0131 117.97609 108.5557      Linear regression
1563      259 188.0084 215.15599 175.2048      Linear regression
1564      195 173.8894 166.77533 168.4900      Linear regression
1565      220 187.5336 171.65148 193.7567      Linear regression
1566      220 175.5488 193.81567 200.5605      Linear regression
1567      155 171.9481 143.06316 138.8574      Linear regression
1568      149 159.3503 152.36874 153.4055      Linear regression
1569      177 186.2941 189.54882 185.9142      Linear regression
1570       20 170.5595 114.44069 106.5264      Linear regression
1571      119 195.9508 156.96175 164.9887      Linear regression
1572      162 195.2845 178.91271 182.3646      Linear regression
1573      130 170.6668 132.42507 125.1134      Linear regression
1574      226 193.2783 193.44240 192.2674      Linear regression
1575      172 175.9422 156.95143 163.6963      Linear regression
1576      200 194.6413 164.58019 171.1017      Linear regression
1577      125 194.0270 194.60599 186.7042      Linear regression
1578       85 169.9017 121.85557 113.1042      Linear regression
1579      216 185.8563 189.56594 194.8359      Linear regression
1580      262 190.4984 216.29284 206.2896      Linear regression
1581      253 190.3072 193.30986 188.1771      Linear regression
1582      199 176.9070 170.26969 178.8665      Linear regression
1583       36 179.3857 172.21102 167.8463      Linear regression
1584      263 190.7237 214.73657 204.6423      Linear regression
1585      215 184.6425 184.94421 189.3665      Linear regression
1586      233 187.8294 192.25845 186.9286      Linear regression
1587      207 194.1938 192.52553 192.1423      Linear regression
1588      116 169.4893 128.09709 119.4016      Linear regression
1589      215 184.5426 214.04049 209.2286      Linear regression
1590       59 191.4417 173.91714 181.1448      Linear regression
1591      200 194.4327 186.19893 187.4372      Linear regression
1592      258 188.2526 170.42203 184.9848      Linear regression
1593      183 174.6574 158.71759 163.3380      Linear regression
1594      244 190.6684 194.89063 187.3307      Linear regression
1595      161 195.0763 193.95693 194.7058      Linear regression
1596      216 189.3418 174.48466 183.8515      Linear regression
1597      231 183.8123 200.24006 193.4182      Linear regression
1598      245 190.5430 194.09935 187.3139      Linear regression
1599      178 169.1340 155.18079 148.4285      Linear regression
1600      244 188.9371 182.82955 189.4781      Linear regression
1601      257 190.2554 211.86174 201.8943      Linear regression
1602       70 196.1783 154.38195 163.3286      Linear regression
1603       20 167.1013 112.91947 105.5174      Linear regression
1604      207 174.2782 177.24203 179.8954      Linear regression
1605      237 185.8929 181.41058 187.2259      Linear regression
1606      151 187.0159 233.08795 215.0947      Linear regression
1607       62 185.7552 168.62712 189.2792      Linear regression
1608      219 185.8340 188.83407 194.6622      Linear regression
1609      148 195.1942 197.25406 193.8810      Linear regression
1610       25 185.4929 181.03114 180.0793      Linear regression
1611      197 170.8124 168.81743 161.9285      Linear regression
1612       87 170.2179 122.54445 114.2319      Linear regression
1613      219 172.1684 210.80604 204.0741      Linear regression
1614      208 173.1201 230.11423 223.2229      Linear regression
1615      133 161.9197 143.69399 150.2904      Linear regression
1616      230 186.7075 189.70096 193.4397      Linear regression
1617      229 189.3699 177.31351 186.8724      Linear regression
1618      218 193.8876 184.09391 187.3127      Linear regression
1619      243 187.1350 183.05662 191.1369      Linear regression
1620      208 172.5480 227.41501 220.4314      Linear regression
1621      200 180.6283 175.23325 170.5153      Linear regression
1622       95 179.4580 171.01599 166.7927      Linear regression
1623      241 186.5168 178.63772 180.9034      Linear regression
1624      249 192.7544 192.04151 189.4437      Linear regression
1625      157 187.3538 192.79552 198.7690      Linear regression
1626      206 173.5487 234.47481 227.8295      Linear regression
1627      178 181.9754 180.14819 175.0809      Linear regression
1628      220 172.1873 197.76792 191.6742      Linear regression
1629       20 185.1022 132.27866 170.8609      Linear regression
1630      254 190.5666 187.20868 189.7670      Linear regression
1631      244 192.1579 195.97092 191.8512      Linear regression
1632      267 189.9021 209.52210 193.6641      Linear regression
1633      163 184.3468 191.80850 196.5280      Linear regression
1634      153 182.5578 186.41193 185.8282      Linear regression
1635       27 185.3729 182.01662 180.5394      Linear regression
1636      195 173.5297 166.61761 166.9572      Linear regression
1637      232 181.4079 194.14040 194.5141      Linear regression
1638       70 185.4220 135.71309 173.4420      Linear regression
1639      244 187.9366 187.52934 191.5394      Linear regression
1640       59 196.0534 169.56712 176.7201      Linear regression
1641      193 191.8247 181.18914 184.4315      Linear regression
1642      181 182.1748 180.74450 176.1480      Linear regression
1643      221 177.7480 235.80050 248.3642      Linear regression
1644       28 186.4834 220.30380 215.7987      Linear regression
1645      212 170.4155 184.89752 178.3676      Linear regression
1646      235 192.5277 198.04367 192.4899      Linear regression
1647      174 192.9251 189.00852 184.9605      Linear regression
1648      213 187.2212 157.28305 187.2417      Linear regression
1649      175 175.8661 157.57771 164.3765      Linear regression
1650      241 186.0274 179.25344 179.8775      Linear regression
1651      126 190.7888 175.83579 181.4799      Linear regression
1652      218 188.7494 175.33541 182.5333      Linear regression
1653      147 161.9890 147.43152 153.9371      Linear regression
1654      231 185.4113 183.32906 189.0000      Linear regression
1655      175 165.1360 154.55658 158.0188      Linear regression
1656      221 184.9840 203.19493 194.5210      Linear regression
1657      165 164.1964 150.86076 155.9427      Linear regression
1658      154 187.2426 233.18504 217.3722      Linear regression
1659      245 188.6541 193.08255 187.5298      Linear regression
1660      228 182.5469 182.02256 174.0913      Linear regression
1661       22 193.8770 181.70420 181.7298      Linear regression
1662      224 176.6972 197.44212 208.0224      Linear regression
1663      116 190.4662 180.45325 182.8027      Linear regression
1664      209 184.7736 218.32749 214.1501      Linear regression
1665      239 186.4386 183.13263 190.7641      Linear regression
1666      261 190.1760 216.36931 207.9882      Linear regression
1667      101 195.9209 165.64735 173.1295      Linear regression
1668      222 175.6436 197.15870 204.0668      Linear regression
1669      228 180.6064 189.61884 191.9834      Linear regression
1670      153 173.2929 143.62253 143.9214      Linear regression
1671      219 171.3386 195.50132 188.7614      Linear regression
1672      262 188.2617 216.55389 177.3373      Linear regression
1673      253 191.4179 193.45588 190.6184      Linear regression
1674      149 170.6729 139.90022 132.7074      Linear regression
1675      213 186.9441 189.57010 181.9417      Linear regression
1676      183 176.9396 162.98614 170.0642      Linear regression
1677      224 177.1061 196.83155 208.3443      Linear regression
1678      201 188.2904 205.15383 204.8842      Linear regression
1679      246 190.5262 194.72656 187.3242      Linear regression
1680      135 191.8134 171.02786 181.2433      Linear regression
1681      226 177.1619 201.87121 213.6648      Linear regression
1682      226 187.6631 191.43344 185.6615      Linear regression
1683      159 195.4130 169.84153 175.4402      Linear regression
1684      106 192.0327 170.50655 180.6899      Linear regression
1685      192 190.1749 173.02033 182.5438      Linear regression
1686      140 178.4888 162.93490 162.8809      Linear regression
1687      208 188.1460 181.47184 180.2197      Linear regression
1688      226 184.3985 203.57052 196.1367      Linear regression
1689      179 194.8915 184.51497 186.8974      Linear regression
1690      230 181.0003 190.42500 191.1724      Linear regression
1691      236 187.8267 176.81728 183.8615      Linear regression
1692      202 165.3035 169.44075 174.3431      Linear regression
1693      214 179.6739 178.86997 181.1219      Linear regression
1694      181 194.2907 235.31768 223.8142      Linear regression
1695      201 194.5576 173.12272 177.0653      Linear regression
1696      209 189.3696 174.35009 182.4785      Linear regression
1697       40 181.2048 187.44957 184.4175      Linear regression
1698       43 195.1526 205.44360 194.1680      Linear regression
1699      220 176.8202 189.60614 200.2555      Linear regression
1700      133 170.2294 133.68461 125.7500      Linear regression
1701      127 182.4554 189.04385 189.4135      Linear regression
1702      215 170.7932 188.80757 182.1260      Linear regression
1703      232 192.4759 200.14526 192.0125      Linear regression
1704      244 192.9231 176.36027 182.5803      Linear regression
1705      154 190.8296 172.65918 181.2712      Linear regression
1706      261 191.3450 189.01058 189.6371      Linear regression
1707      138 195.5016 180.11843 184.4153      Linear regression
1708      230 180.3024 196.10153 202.5998      Linear regression
1709      157 177.1317 157.35099 162.3294      Linear regression
1710      213 188.3761 184.77247 190.8051      Linear regression
1711      105 181.1082 182.71479 178.2698      Linear regression
1712      188 194.3576 199.20747 194.6351      Linear regression
1713      218 189.3961 174.83299 184.6509      Linear regression
1714      258 192.1882 198.66035 193.7289      Linear regression
1715      263 190.4718 216.37306 207.4437      Linear regression
1716      218 178.4205 185.16425 194.7298      Linear regression
1717      112 178.2457 161.21784 161.1422      Linear regression
1718       89 177.9640 159.26202 159.7045      Linear regression
1719      240 186.6665 183.61634 191.4128      Linear regression
1720      235 190.7226 190.55142 187.1215      Linear regression
1721      235 187.8776 176.67012 183.4169      Linear regression
1722      198 185.7714 217.22072 210.1550      Linear regression
1723      248 192.8236 182.98988 183.4463      Linear regression
1724      235 184.4856 180.34502 176.9041      Linear regression
1725      228 179.6596 194.83564 203.5002      Linear regression
1726      237 185.5664 180.71005 184.5497      Linear regression
1727      241 187.7310 178.00043 186.4364      Linear regression
1728      246 189.7183 194.40177 196.7964      Linear regression
1729      219 171.9818 209.65285 202.8681      Linear regression
1730       42 177.2287 153.38613 155.6150      Linear regression
1731      232 186.4872 187.70386 193.7545      Linear regression
1732      243 189.9742 188.82184 188.0039      Linear regression
1733      249 189.0324 189.66899 189.2366      Linear regression
1734      237 184.8745 180.29013 177.1900      Linear regression
1735      116 191.4395 171.75220 180.8632      Linear regression
1736      230 184.9058 181.69547 184.3036      Linear regression
1737      241 186.3842 180.47684 187.0576      Linear regression
1738      198 177.7223 170.99244 178.4179      Linear regression
1739      248 188.4253 187.00116 190.6968      Linear regression
1740      205 193.0388 201.35324 190.6345      Linear regression
1741       82 153.9482 139.87305 133.8298      Linear regression
1742      139 184.8933 192.04282 193.2805      Linear regression
1743      236 184.2141 191.48216 182.2424      Linear regression
1744       89 185.5562 138.36508 175.3459      Linear regression
1745      245 188.9590 192.86623 185.6317      Linear regression
1746      238 186.5524 179.19851 179.2744      Linear regression
1747      233 187.4377 177.74323 180.8092      Linear regression
1748      230 185.8168 185.21477 192.1343      Linear regression
1749      156 179.8798 171.10961 166.7490      Linear regression
1750      213 171.5675 185.28540 178.8599      Linear regression
1751      218 180.3155 180.38482 179.9733      Linear regression
1752      199 190.3547 173.39341 183.6477      Linear regression
1753      209 168.1924 197.54616 200.0083      Linear regression
1754      210 172.3325 224.16416 217.2507      Linear regression
1755      225 185.5561 185.92344 192.5266      Linear regression
1756      258 188.9146 177.86525 198.6469      Linear regression
1757      212 184.0039 183.36831 184.7132      Linear regression
1758      248 189.0093 212.31860 207.2708      Linear regression
1759      213 182.2603 178.87212 171.6941      Linear regression
1760      217 188.2977 226.97653 211.1231      Linear regression
1761      225 177.3324 223.30045 235.1711      Linear regression
1762      264 191.3854 211.04358 202.4957      Linear regression
1763      223 191.7569 194.77208 187.1676      Linear regression
1764       30 196.4354 179.64634 181.5965      Linear regression
1765      239 188.3071 177.97484 187.3060      Linear regression
1766      192 174.7423 165.50719 170.3623      Linear regression
1767      161 176.1146 154.15015 160.4226      Linear regression
1768      222 190.8680 184.83539 186.5174      Linear regression
1769      179 172.3506 235.08205 229.8804      Linear regression
1770       43 186.5072 199.99583 204.2400      Linear regression
1771      127 193.0101 178.40195 181.9206      Linear regression
1772      194 194.5893 186.19410 187.7169      Linear regression
1773      149 195.5427 171.27520 176.4159      Linear regression
1774      250 189.1955 216.92936 207.9699      Linear regression
1775      177 189.4210 180.16661 181.4940      Linear regression
1776      228 190.2541 181.99199 187.1803      Linear regression
1777      106 156.1103 150.29382 141.7971      Linear regression
1778       86 183.7187 193.70960 197.4336      Linear regression
1779      203 187.3468 187.79765 183.1572      Linear regression
1780      190 193.0497 196.75054 187.7767      Linear regression
1781      165 187.1700 182.16800 186.3235      Linear regression
1782      224 192.5866 201.21718 191.3064      Linear regression
1783      207 184.4228 185.92278 190.2224      Linear regression
1784      255 191.6047 190.93806 190.7770      Linear regression
1785      230 191.3315 193.56800 187.0255      Linear regression
1786      248 189.5839 214.68452 204.3696      Linear regression
1787      116 180.3492 176.66077 171.2353      Linear regression
1788       61 185.5028 182.89399 180.9874      Linear regression
1789      185 188.2949 190.30830 184.4902      Linear regression
1790       30 172.2856 119.23985 116.4500      Linear regression
1791      215 186.3276 194.39648 184.9388      Linear regression
1792      214 173.9934 186.87714 187.5893      Linear regression
1793      130 158.3403 180.92877 155.5111      Linear regression
1794       47 170.3045 118.42890 110.1194      Linear regression
1795      241 189.4437 187.82853 194.1264      Linear regression
1796      239 185.3814 179.87486 180.4480      Linear regression
1797      212 168.8985 200.22957 199.9731      Linear regression
1798      218 184.6623 209.81055 203.3853      Linear regression
1799      221 179.6893 183.62819 187.9187      Linear regression
1800      161 195.3126 168.81431 174.6989      Linear regression
1801      173 163.5817 154.83871 161.0217      Linear regression
1802      179 175.6051 158.42841 165.0936      Linear regression
1803       41 196.0524 176.26516 182.2502      Linear regression
1804      181 194.9848 169.54828 174.7750      Linear regression
1805      200 165.1606 168.76769 173.8792      Linear regression
1806      256 190.2279 208.36789 200.3132      Linear regression
1807      254 192.5020 182.71287 183.8198      Linear regression
1808       93 175.8489 143.76172 148.3225      Linear regression
1809      217 181.8576 178.95400 171.7658      Linear regression
1810      129 181.7670 185.00664 182.1212      Linear regression
1811      231 180.8134 193.92341 197.1316      Linear regression
1812      158 194.9382 217.06334 211.5130      Linear regression
1813        2 181.0381 186.26323 182.6478      Linear regression
1814      236 186.5697 186.12622 193.0784      Linear regression
1815      222 176.2378 227.32225 233.6820      Linear regression
1816      265 191.3805 214.84655 207.0814      Linear regression
1817      216 193.9475 182.87124 186.4863      Linear regression
1818      201 191.1903 177.92533 184.7779      Linear regression
1819      201 191.9195 185.79212 185.1758      Linear regression
1820      243 188.8665 217.83684 208.0968      Linear regression
1821      170 194.3213 204.82234 194.9648      Linear regression
1822      244 188.3647 191.95591 188.9456      Linear regression
1823      181 188.8960 184.68883 182.4227      Linear regression
1824      208 173.6305 233.64148 227.2494      Linear regression
1825      214 188.5233 213.96431 207.5895      Linear regression
1826      167 192.9686 187.44538 184.4581      Linear regression
1827       70 192.2141 170.54407 180.1283      Linear regression
1828       40 196.0364 203.65305 196.8614      Linear regression
1829      197 180.4469 174.31559 169.9334      Linear regression
1830      110 189.8330 190.94532 187.5923      Linear regression
1831      200 187.3328 187.67501 198.4734      Linear regression
1832      223 183.5315 180.32916 175.7867      Linear regression
1833      189 194.2452 201.17251 195.1117      Linear regression
1834      144 178.3486 162.18895 162.8161      Linear regression
1835       97 186.7332 236.36774 220.1554      Linear regression
1836      253 191.3044 210.17052 213.0868      Linear regression
1837      167 178.3966 164.31557 166.2393      Linear regression
1838      234 191.5846 197.87035 188.2273      Linear regression
1839      237 190.8735 192.82753 187.1368      Linear regression
1840      254 190.4273 191.25822 188.8812      Linear regression
1841      194 187.4939 184.26793 183.2515      Linear regression
1842       40 184.4673 189.18000 189.0234      Linear regression
1843       63 189.0753 212.44651 204.2062      Linear regression
1844       70 161.6518 132.53828 139.3193      Linear regression
1845      168 176.9439 158.93102 164.9615      Linear regression
1846      210 190.9292 178.94597 185.4543      Linear regression
1847       60 191.7219 174.24360 181.2767      Linear regression
1848      146 165.0926 143.00929 145.2688      Linear regression
1849      237 188.0806 176.78839 185.0893      Linear regression
1850      143 195.5092 182.93303 184.9368      Linear regression
1851      202 173.5706 237.41963 230.5278      Linear regression
1852      250 190.3444 195.56145 187.2918      Linear regression
1853      233 188.2892 190.58799 184.5422      Linear regression
1854      178 193.1734 230.67545 224.8800      Linear regression
1855      240 186.5276 178.69208 180.5090      Linear regression
1856      155 189.2434 188.61397 185.0814      Linear regression
1857      134 185.8431 185.62041 182.6110      Linear regression
1858       30 191.4903 177.07998 182.3001      Linear regression
1859      238 185.0569 185.51170 177.1992      Linear regression
1860      160 186.4360 185.10642 181.8883      Linear regression
1861      159 190.1509 176.75747 181.3652      Linear regression
1862      211 164.7497 174.78941 181.5311      Linear regression
1863      198 190.0152 173.27545 182.7899      Linear regression
1864      219 170.4262 197.72406 191.9097      Linear regression
1865       20 168.0258 111.94190 102.6741      Linear regression
1866      253 191.1887 195.18711 189.9769      Linear regression
1867      182 187.6992 200.20545 191.2241      Linear regression
1868      204 175.9561 173.64236 181.8816      Linear regression
1869      181 188.4874 189.24357 184.1553      Linear regression
1870      196 190.4762 173.29095 183.5672      Linear regression
1871      140 171.5033 136.69311 131.3034      Linear regression
1872      236 187.5241 191.32512 190.5896      Linear regression
1873       20 196.5761 157.35974 164.8879      Linear regression
1874      173 186.3517 145.05185 179.7665      Linear regression
1875       91 169.7970 122.93693 114.1339      Linear regression
1876      188 181.9745 179.22780 173.5023      Linear regression
1877       55 192.2052 170.18031 180.2373      Linear regression
1878       50 191.1349 182.06235 184.3837      Linear regression
1879      226 180.6131 185.87787 186.5225      Linear regression
1880      197 188.1940 199.74409 202.4865      Linear regression
1881      228 185.6682 191.17282 181.7937      Linear regression
1882      231 189.0171 176.72884 186.4922      Linear regression
1883      186 186.3310 190.58275 187.4565      Linear regression
1884      239 185.7336 180.22288 183.9757      Linear regression
1885      251 190.0797 189.55151 193.9987      Linear regression
1886      220 188.4786 225.93566 210.9515      Linear regression
1887      244 187.3884 178.64698 186.6751      Linear regression
1888       35 184.5323 189.88963 189.8914      Linear regression
1889      168 173.0490 149.45854 148.7532      Linear regression
1890      188 173.3767 161.60763 161.6254      Linear regression
1891      168 187.1888 182.04679 185.4062      Linear regression
1892      235 185.5250 181.77967 186.7155      Linear regression
1893      212 176.1995 181.24498 190.3014      Linear regression
1894      199 165.8628 168.21770 171.5770      Linear regression
1895      163 178.7402 165.29044 165.4722      Linear regression
1896      182 167.5452 158.26846 155.3491      Linear regression
1897      184 194.4567 199.21804 194.6806      Linear regression
1898       38 185.0906 129.72059 165.2520      Linear regression
1899      193 187.9768 227.65444 213.3574      Linear regression
1900      239 185.4653 181.86424 176.6054      Linear regression
1901      259 187.8839 218.13207 173.8112      Linear regression
1902      243 190.3428 191.33799 187.4702      Linear regression
1903      257 191.7131 183.12318 188.7792      Linear regression
1904      244 190.2207 191.43989 187.5699      Linear regression
1905      197 175.8349 169.10515 176.8795      Linear regression
1906       40 196.5346 152.00429 161.6407      Linear regression
1907       30 180.7483 185.08628 180.8474      Linear regression
1908      258 191.4427 184.05224 189.4069      Linear regression
1909      225 188.4523 185.50544 185.7317      Linear regression
1910      254 192.4269 178.10143 184.2042      Linear regression
1911       63 192.4044 170.30255 180.2817      Linear regression
1912      242 187.9612 178.40274 187.4182      Linear regression
1913      159 195.4190 161.96059 169.0808      Linear regression
1914      257 190.4590 200.84055 196.6877      Linear regression
1915       24 193.4645 175.77173 180.4675      Linear regression
1916      228 183.2637 180.47159 173.3254      Linear regression
1917      194 173.7210 166.02396 167.1291      Linear regression
1918      130 195.5053 194.32023 192.1798      Linear regression
1919      247 192.9113 176.97985 180.4514      Linear regression
1920      227 186.8553 191.08023 192.1640      Linear regression
1921      190 193.6807 246.08779 231.3032      Linear regression
1922      215 177.9432 243.56901 256.1916      Linear regression
1923      189 188.0264 206.30678 206.0058      Linear regression
1924      250 189.4107 192.24041 188.0548      Linear regression
1925      228 184.5130 181.18328 181.5136      Linear regression
1926      234 193.4404 190.02566 188.7980      Linear regression
1927      222 180.1748 183.34557 185.0764      Linear regression
1928      190 184.2237 188.14418 192.7372      Linear regression
1929      109 195.8556 168.81633 175.7083      Linear regression
1930      175 186.7314 186.21473 182.4039      Linear regression
1931      236 189.2110 179.21621 187.9793      Linear regression
1932      231 187.2444 178.75420 179.7214      Linear regression
1933      243 189.1471 222.28332 208.1899      Linear regression
1934       97 186.8295 215.91028 213.0217      Linear regression
1935      246 188.4964 182.44641 189.9819      Linear regression
1936      199 192.1936 188.59313 185.4543      Linear regression
1937      226 177.0672 219.99903 231.0643      Linear regression
1938      258 191.4307 185.63817 189.8461      Linear regression
1939      235 188.7615 224.05450 209.4663      Linear regression
1940      137 187.1560 210.22051 209.6178      Linear regression
1941      218 188.1229 219.92519 208.7331      Linear regression
1942       30 180.5083 182.69237 177.8729      Linear regression
1943      127 195.7379 167.30747 174.2006      Linear regression
1944      254 191.1010 194.63374 189.8627      Linear regression
1945      261 191.8933 199.34584 193.9810      Linear regression
1946      158 187.1913 183.68180 189.5649      Linear regression
1947      114 193.9352 191.09977 185.1560      Linear regression
1948      234 183.6319 181.64163 173.9178      Linear regression
1949      145 178.3075 162.00395 162.8467      Linear regression
1950      140 195.5319 173.14065 178.7284      Linear regression
1951      200 186.5732 204.60596 194.8295      Linear regression
1952      237 184.5592 188.40474 179.0780      Linear regression
1953      108 185.0333 189.45773 188.3764      Linear regression
1954      243 186.7915 179.51009 186.5210      Linear regression
1955      259 191.5473 181.89433 188.2588      Linear regression
1956       20 179.3313 172.23245 167.9125      Linear regression
1957      222 188.4058 184.75066 186.2924      Linear regression
1958      185 194.6771 195.08693 194.9988      Linear regression
1959      172 184.4714 191.24856 196.1984      Linear regression
1960      156 176.5047 154.36308 160.1787      Linear regression
1961      212 181.5199 178.07253 171.3927      Linear regression
1962      243 192.9136 205.88191 200.9190      Linear regression
1963      141 170.0684 136.51816 128.5167      Linear regression
1964      234 187.1284 178.70193 179.7648      Linear regression
1965       54 189.9104 196.54053 191.7191      Linear regression
1966      246 188.1399 184.11755 190.9024      Linear regression
1967      148 186.0544 145.78893 180.1306      Linear regression
1968       79 186.7210 225.85554 217.5204      Linear regression
1969      144 194.2013 201.23145 190.5144      Linear regression
1970      174 183.0086 185.52169 185.6006      Linear regression
1971      140 187.3663 227.35534 220.0407      Linear regression
1972      252 189.5394 220.09246 207.4368      Linear regression
1973      195 194.6827 171.03771 175.5658      Linear regression
1974      221 177.3635 192.42504 204.0066      Linear regression
1975      236 183.6675 184.19100 175.4853      Linear regression
1976      170 180.3150 172.98612 167.8481      Linear regression
1977       13 181.0872 186.38655 182.8748      Linear regression
1978      164 184.7301 192.33026 196.2345      Linear regression
1979      262 191.7517 197.65629 192.8654      Linear regression
1980      211 191.2730 182.73968 185.5923      Linear regression
1981      230 183.8611 180.40430 175.1700      Linear regression
1982      230 185.3113 182.68801 187.6747      Linear regression
1983      161 173.2477 146.88629 146.9579      Linear regression
1984      179 172.7557 238.64303 232.5634      Linear regression
1985      228 181.2722 186.44857 184.0915      Linear regression
1986      130 180.6297 177.59726 172.0735      Linear regression
1987      217 169.9117 192.69958 187.5062      Linear regression
1988      247 188.5832 193.26906 202.6481      Linear regression
1989      236 187.4235 177.39829 181.8620      Linear regression
1990      154 193.6261 194.54982 186.7294      Linear regression
1991      226 176.3693 210.02139 218.9898      Linear regression
1992      149 186.5437 192.87312 199.0320      Linear regression
1993      259 191.9205 181.42260 185.6104      Linear regression
1994      232 180.6620 198.53876 204.3678      Linear regression
1995      198 172.3313 169.25890 165.2447      Linear regression
1996      245 192.9691 186.30775 185.5165      Linear regression
1997      223 186.8771 191.55853 191.2295      Linear regression
1998      182 187.8674 213.72803 209.5548      Linear regression
1999      130 195.3987 198.87124 194.6452      Linear regression
2000      221 184.5863 207.20966 200.2659      Linear regression
2001      187 173.6163 160.65709 161.6156      Linear regression
2002      123 180.3117 176.01812 170.5899      Linear regression
2003      248 189.5762 190.13137 187.0408      Linear regression
2004      238 190.1805 186.88282 187.7245      Linear regression
2005      234 181.8187 193.51782 191.6753      Linear regression
2006      214 188.5197 190.64931 196.7127      Linear regression
2007      145 193.4437 189.02287 184.6077      Linear regression
2008      233 181.8168 190.89253 187.9600      Linear regression
2009      243 187.7762 189.21073 191.5201      Linear regression
2010      249 188.9172 192.07996 188.4610      Linear regression
2011      111 171.6022 128.43706 123.3716      Linear regression
2012      238 184.6887 185.13683 176.6385      Linear regression
2013      221 172.2819 205.63108 199.2391      Linear regression
2014      236 187.0133 188.87168 193.0535      Linear regression
2015      172 187.6887 208.06663 207.5456      Linear regression
2016      248 188.8041 188.83456 189.7838      Linear regression
2017      160 183.1886 188.38129 190.4420      Linear regression
2018      211 172.2239 183.27237 178.1334      Linear regression
2019      207 167.3226 176.08573 176.2977      Linear regression
2020      235 182.6957 190.13526 183.6131      Linear regression
2021       84 169.1107 121.32383 112.1516      Linear regression
2022      244 188.6611 193.30222 186.9335      Linear regression
2023      159 181.4550 179.66974 174.3574      Linear regression
2024      163 157.7291 164.88861 153.2721      Linear regression
2025       10 196.3132 184.48476 189.1228      Linear regression
2026      230 193.3736 185.30099 188.4694      Linear regression
2027      152 187.1147 184.40370 190.6371      Linear regression
2028      222 178.1639 190.09241 201.2465      Linear regression
2029      186 172.8764 160.20897 158.4660      Linear regression
2030       82 154.9411 146.62866 137.1314      Linear regression
2031      154 193.0428 185.18499 183.7318      Linear regression
2032      256 191.7538 185.34885 189.6086      Linear regression
2033      163 186.8700 225.68809 218.6525      Linear regression
2034      184 194.8516 178.71192 182.0838      Linear regression
2035      240 185.8772 179.74838 183.1781      Linear regression
2036      132 177.0380 153.65332 157.6055      Linear regression
2037      133 192.3905 173.34089 181.5100      Linear regression
2038      123 195.3863 202.10068 196.0724      Linear regression
2039      241 189.0178 188.98121 185.8754      Linear regression
2040      242 192.9880 177.16681 183.3556      Linear regression
2041      240 186.2098 179.35201 179.1711      Linear regression
2042      171 189.0402 186.26009 183.4218      Linear regression
2043      203 168.6186 202.30646 204.9757      Linear regression
2044      229 181.1831 187.02440 185.3478      Linear regression
2045       56 194.1680 236.00775 233.2246      Linear regression
2046      202 171.8091 225.32916 219.4364      Linear regression
2047      209 188.4341 199.46489 201.9320      Linear regression
2048      220 192.8342 201.71625 192.0310      Linear regression
2049      217 184.3893 183.41101 186.0211      Linear regression
2050      218 189.0573 174.81374 183.5112      Linear regression
2051      229 183.0878 181.06988 173.1677      Linear regression
2052      215 178.2340 181.33823 190.3331      Linear regression
2053      205 182.7742 180.36181 175.6723      Linear regression
2054      220 179.8952 182.05955 184.6381      Linear regression
2055      263 189.1240 176.82297 196.4723      Linear regression
2056      132 189.8386 186.28256 184.7581      Linear regression
2057      250 189.7219 193.06424 187.6477      Linear regression
2058      232 184.4452 195.06171 185.9014      Linear regression
2059      218 185.9035 189.26544 194.7287      Linear regression
2060      149 195.0809 200.77337 195.4668      Linear regression
2061      176 195.0365 180.04891 183.4426      Linear regression
2062      210 173.4243 180.88156 179.8251      Linear regression
2063       54 195.8421 196.67056 197.6795      Linear regression
2064      206 185.4348 190.05504 195.3534      Linear regression
2065      208 184.4197 185.63085 189.7858      Linear regression
2066      222 192.2559 198.87563 188.8152      Linear regression
2067      221 189.4964 175.54019 185.5339      Linear regression
2068      164 187.2573 183.16145 188.6211      Linear regression
2069      118 191.7557 170.75169 180.8435      Linear regression
2070       60 186.4502 186.47245 193.0735      Linear regression
2071      230 182.0613 185.11238 179.0117      Linear regression
2072       60 191.4944 176.18840 181.9308      Linear regression
2073      242 189.0444 189.16550 185.8972      Linear regression
2074      174 169.1289 152.03177 145.0574      Linear regression
2075      156 168.2246 143.61351 137.3881      Linear regression
2076      239 186.8272 178.30281 180.9106      Linear regression
2077      171 186.9572 201.75508 202.4427      Linear regression
2078       59 172.3122 123.55271 120.8006      Linear regression
2079      224 175.3692 203.53216 208.6799      Linear regression
2080        8 183.5920 193.85386 197.1149      Linear regression
2081      205 187.0589 194.47604 185.6757      Linear regression
2082      255 189.0413 197.32248 204.7429      Linear regression
2083      169 170.2962 149.23091 141.7616      Linear regression
2084      236 183.9794 192.10202 183.1934      Linear regression
2085       97 193.9916 189.72790 184.5656      Linear regression
2086      241 189.0862 188.57778 186.1785      Linear regression
2087      109 189.5500 195.78442 190.4882      Linear regression
2088      190 165.0884 162.88173 167.4052      Linear regression
2089       84 176.4317 147.42481 151.4486      Linear regression
2090      243 186.5984 178.62138 183.0872      Linear regression
2091      192 187.9869 226.11299 213.0490      Linear regression
2092       41 174.0447 130.51755 132.9295      Linear regression
2093      157 191.4211 171.59307 181.8856      Linear regression
2094      221 172.8358 211.36143 205.5115      Linear regression
2095      233 190.7280 189.15691 187.0521      Linear regression
2096      167 195.2793 169.53539 175.3258      Linear regression
2097      233 188.1972 191.43034 184.9387      Linear regression
2098      232 181.5954 192.56140 191.3492      Linear regression
2099        3 194.9227 199.81774 189.6977      Linear regression
2100      205 188.2264 226.10648 212.0470      Linear regression
2101      142 181.8342 183.87468 180.6219      Linear regression
2102      218 171.7160 193.58640 187.0670      Linear regression
2103      226 188.1974 176.26777 182.1556      Linear regression
2104      198 172.0505 169.10809 164.3121      Linear regression
2105       60 177.5876 156.78636 157.7126      Linear regression
2106      218 178.9599 182.86136 190.0323      Linear regression
2107      209 188.3882 188.27776 194.8996      Linear regression
2108      147 163.5833 144.78128 150.4076      Linear regression
2109      157 190.6203 173.48870 181.2503      Linear regression
2110      242 187.8607 190.46600 190.7878      Linear regression
2111      144 186.3679 178.19560 193.7273      Linear regression
2112      204 187.6716 185.27777 183.3814      Linear regression
2113      247 190.4174 195.06660 187.3174      Linear regression
2114      193 187.5927 183.46542 184.2076      Linear regression
2115      137 153.1250 119.14467 132.4043      Linear regression
2116      255 191.0223 191.59852 190.0212      Linear regression
2117      240 187.4678 177.55131 184.4884      Linear regression
2118      218 174.4886 191.92507 194.2837      Linear regression
2119      116 191.8634 170.63915 180.8211      Linear regression
2120      213 186.1170 190.93042 194.0659      Linear regression
2121      227 176.9891 214.76074 225.8476      Linear regression
2122      207 164.3640 172.20959 179.0060      Linear regression
2123       87 181.4562 186.05825 183.0348      Linear regression
2124      264 191.3289 200.29996 194.6592      Linear regression
2125       44 176.4115 146.71511 150.5227      Linear regression
2126      197 174.1003 244.04581 237.4121      Linear regression
2127      227 177.0906 207.39069 219.0373      Linear regression
2128      223 184.1739 208.88889 203.6014      Linear regression
2129      154 179.5102 169.07015 165.7861      Linear regression
2130      209 181.2664 177.43274 171.2548      Linear regression
2131      249 189.3325 193.24374 187.6595      Linear regression
2132      223 174.8587 200.85279 203.9385      Linear regression
2133      213 171.7636 218.03409 211.4480      Linear regression
2134      263 191.6549 212.05040 204.2066      Linear regression
2135      240 188.6239 191.70234 185.0807      Linear regression
2136      181 183.6612 187.22496 190.0567      Linear regression
2137      237 192.5745 196.06265 192.4462      Linear regression
2138       45 196.2342 171.24740 175.6492      Linear regression
2139      225 183.5630 180.26953 175.2859      Linear regression
2140      264 191.3225 209.85628 201.2530      Linear regression
2141       18 185.1763 132.44396 170.9006      Linear regression
2142      245 187.5760 182.28742 190.6028      Linear regression
2143      134 179.5973 170.22512 166.1558      Linear regression
2144      195 162.4114 164.30573 170.4107      Linear regression
2145       40 185.8508 179.40380 183.1261      Linear regression
2146      211 194.3398 166.53256 172.5852      Linear regression
2147      172 181.7536 179.73557 174.4201      Linear regression
2148      167 186.8173 223.87554 216.5372      Linear regression
2149      255 191.7240 187.08047 190.1293      Linear regression
2150      245 189.1196 185.11006 189.4662      Linear regression
2151      213 174.7769 184.57243 188.7755      Linear regression
2152      145 170.4546 138.23597 130.6962      Linear regression
2153      193 194.6277 183.87359 186.4682      Linear regression
2154      249 192.7564 193.47952 190.5106      Linear regression
2155      208 185.5861 208.89787 200.3558      Linear regression
2156      237 186.7940 178.66334 179.9899      Linear regression
2157      261 191.9805 193.19437 190.0842      Linear regression
2158      139 192.9864 180.55250 182.5322      Linear regression
2159      211 173.1259 182.45652 180.1497      Linear regression
2160      178 186.7604 186.64991 182.6258      Linear regression
2161      144 192.9799 181.57371 182.8141      Linear regression
2162      236 188.6275 190.23197 184.8547      Linear regression
2163      193 179.7097 269.80556 287.0794      Linear regression
2164      194 179.0503 170.88615 172.5898      Linear regression
2165      241 187.8741 191.31121 190.1010      Linear regression
2166      240 185.6487 179.59603 179.5674      Linear regression
2167      243 189.0051 191.89212 185.5058      Linear regression
2168      158 185.0754 192.23432 194.0069      Linear regression
2169       94 182.0150 188.95039 188.1564      Linear regression
2170      210 193.3713 202.38952 193.6049      Linear regression
2171      237 187.7393 176.97392 183.9432      Linear regression
2172      242 186.6310 178.45191 181.9632      Linear regression
2173      124 186.6237 181.41463 185.9856      Linear regression
2174      239 186.2030 181.89545 188.8475      Linear regression
2175      189 187.0468 206.03300 196.3395      Linear regression
2176      135 189.9626 183.98794 183.7492      Linear regression
2177      209 190.8507 178.01872 185.3539      Linear regression
2178      231 188.5468 222.05112 209.1627      Linear regression
2179      238 184.4135 184.07812 175.7798      Linear regression
2180      143 183.1330 190.29300 192.9611      Linear regression
2181       78 184.1715 192.83112 195.2475      Linear regression
2182       99 185.0052 189.15181 187.9988      Linear regression
2183      252 190.2652 185.86714 189.8370      Linear regression
2184      177 187.4252 182.54102 186.4228      Linear regression
2185      199 164.0515 166.71649 173.2169      Linear regression
2186      210 177.8604 249.90000 261.2852      Linear regression
2187      230 187.5263 192.08550 187.9110      Linear regression
2188      223 193.8584 183.61621 184.3834      Linear regression
2189      204 174.5740 174.39603 178.3782      Linear regression
2190      225 185.4727 185.43804 191.8915      Linear regression
2191      201 188.0015 183.51192 187.7482      Linear regression
2192      175 191.1443 172.32500 182.5956      Linear regression
2193      252 190.0815 195.76309 187.0914      Linear regression
2194      262 191.0707 209.07590 214.0895      Linear regression
2195      173 187.2688 212.80094 203.4887      Linear regression
2196      177 164.7118 155.99847 160.5667      Linear regression
2197       88 163.3938 130.47111 135.4067      Linear regression
2198      234 186.8775 179.53935 179.0397      Linear regression
2199      199 179.2406 263.24901 279.3261      Linear regression
2200      159 170.3735 144.02958 136.5135      Linear regression
2201      214 183.9998 182.64454 183.2669      Linear regression
2202      206 194.2523 190.60215 190.6873      Linear regression
2203      212 187.0689 191.11332 186.5867      Linear regression
2204      264 191.5026 209.60764 201.4073      Linear regression
2205      243 188.9810 190.68815 185.4867      Linear regression
2206      130 185.2066 189.90172 188.7061      Linear regression
2207      161 185.8684 139.63440 167.8992      Linear regression
2208      215 185.1352 207.91471 199.9349      Linear regression
2209      204 186.8346 198.51747 188.9452      Linear regression
2210        8 184.0417 192.26546 194.1714      Linear regression
2211      167 195.3078 161.88707 168.8861      Linear regression
2212      180 186.6924 217.04644 208.5806      Linear regression
2213      177 155.8611 152.55749 146.2887      Linear regression
2214      221 176.5695 192.79899 203.0062      Linear regression
2215      127 176.9878 152.87502 156.7195      Linear regression
2216      220 187.4978 181.17838 179.3437      Linear regression
2217      230 192.1400 200.10516 189.9560      Linear regression
2218      203 170.9124 218.36967 214.3182      Linear regression
2219      185 187.1377 185.06845 182.3354      Linear regression
2220      234 182.4808 188.15218 181.6842      Linear regression
2221      252 190.2703 187.72088 189.2977      Linear regression
2222      244 190.1403 191.27190 187.6520      Linear regression
2223      233 185.8351 185.01121 177.8720      Linear regression
2224      205 177.9152 174.39311 182.2763      Linear regression
2225      237 187.9716 192.48676 187.4841      Linear regression
2226      232 188.8924 184.60515 189.1676      Linear regression
2227      186 172.1485 159.81896 155.7113      Linear regression
2228      221 176.8836 232.79070 241.6799      Linear regression
2229      226 186.6213 190.25586 193.3866      Linear regression
2230      253 190.1338 200.96146 197.7562      Linear regression
2231      182 183.2125 185.19608 185.6224      Linear regression
2232      173 187.6620 198.49017 202.4632      Linear regression
2233      244 192.6141 186.42041 189.5635      Linear regression
2234       20 196.4195 157.84030 167.2325      Linear regression
2235      111 191.4737 171.75120 180.8312      Linear regression
2236      191 189.0604 179.20258 180.9054      Linear regression
2237      193 179.4217 171.47496 171.3242      Linear regression
2238      191 187.8355 193.25992 185.7712      Linear regression
2239       48 183.0669 193.92252 197.3649      Linear regression
2240      162 185.4011 201.60361 153.5264      Linear regression
2241      109 157.1731 149.97624 144.6049      Linear regression
2242      239 189.8324 184.93150 188.2231      Linear regression
2243      123 195.8901 156.29008 164.5579      Linear regression
2244      251 189.0708 211.88430 207.2750      Linear regression
2245      139 181.2633 180.72843 175.7836      Linear regression
2246      249 189.3426 194.37897 186.6956      Linear regression
2247      267 190.1485 195.11178 207.4278      Linear regression
2248      192 194.6124 187.77680 189.0420      Linear regression
2249      266 190.7099 211.55854 211.7623      Linear regression
2250       92 162.4380 133.65125 140.0774      Linear regression
2251      167 187.0097 182.21966 182.9853      Linear regression
2252      178 191.2119 172.78123 182.8545      Linear regression
2253      120 186.0924 174.00726 191.8004      Linear regression
2254       93 186.6201 186.92401 193.5540      Linear regression
2255      136 175.7744 147.37563 152.7029      Linear regression
2256      201 182.7221 180.54383 176.0621      Linear regression
2257      230 180.6395 191.49505 194.5151      Linear regression
2258      219 190.2932 178.32574 186.2987      Linear regression
2259      226 182.9704 180.26932 172.8170      Linear regression
2260      244 192.9409 196.38834 193.0391      Linear regression
2261      204 156.4908 153.32439 150.2271      Linear regression
2262      198 186.8462 201.82325 192.0731      Linear regression
2263       26 194.9114 200.63663 190.2353      Linear regression
2264      166 195.1727 178.75362 182.7057      Linear regression
2265      244 192.7976 209.33593 203.7565      Linear regression
2266      191 170.4933 217.88975 216.6189      Linear regression
2267      207 165.8703 174.58665 178.9558      Linear regression
2268      238 184.2123 182.46230 174.8510      Linear regression
2269      231 185.0487 181.93852 185.3643      Linear regression
2270      219 180.0096 181.64040 183.4366      Linear regression
2271      236 193.3261 192.02002 190.1951      Linear regression
2272      268 189.6583 209.26231 191.2967      Linear regression
2273      192 156.7071 146.34676 149.6243      Linear regression
2274      226 183.7596 180.38416 176.2050      Linear regression
2275      229 180.4933 191.14281 194.7311      Linear regression
2276      159 195.2660 175.95657 180.5720      Linear regression
2277      167 187.0168 220.73389 212.5781      Linear regression
2278      139 179.4607 169.15470 165.5784      Linear regression
2279      191 186.7591 152.30708 184.2632      Linear regression
2280      224 191.8940 196.15993 187.5700      Linear regression
2281      263 190.9952 205.75145 197.9933      Linear regression
2282      179 176.3064 159.92484 167.0754      Linear regression
2283      222 177.5093 190.92462 202.4488      Linear regression
2284      258 190.2116 215.64756 204.2150      Linear regression
2285      167 190.8009 172.14100 181.6986      Linear regression
2286      129 169.7502 131.70058 123.2920      Linear regression
2287       47 177.0776 152.12255 154.7323      Linear regression
2288      247 189.3859 192.82389 186.1304      Linear regression
2289      189 185.9717 183.65067 160.0879      Linear regression
2290      197 187.3148 190.94018 199.4431      Linear regression
2291      216 188.8400 175.32414 182.1495      Linear regression
2292      238 186.1625 180.25180 178.0677      Linear regression
2293      266 190.3823 195.71508 206.3096      Linear regression
2294      178 194.8261 191.39145 190.8961      Linear regression
2295      222 188.7259 187.62232 194.2653      Linear regression
2296      150 187.7410 216.32102 207.2917      Linear regression
2297      165 187.5588 208.45081 207.9911      Linear regression
2298      163 188.2349 201.76963 193.2325      Linear regression
2299      240 189.5709 184.07515 188.6100      Linear regression
2300      229 180.0419 194.13697 201.0221      Linear regression
2301      102 195.9497 161.96347 169.9826      Linear regression
2302       21 192.5790 169.96360 179.9087      Linear regression
2303      225 184.7027 202.25252 193.8791      Linear regression
2304      211 186.9588 191.23818 187.1519      Linear regression
2305      203 186.2407 206.69634 197.1717      Linear regression
2306      106 195.6672 194.44483 195.8437      Linear regression
2307      245 189.6431 186.05341 192.6625      Linear regression
2308      203 193.8672 199.94742 194.4976      Linear regression
2309      193 179.2822 268.08224 283.7983      Linear regression
2310       35 185.6038 164.43392 187.4342      Linear regression
2311      161 187.1895 182.86023 188.1122      Linear regression
2312      248 189.5048 217.94868 205.8030      Linear regression
2313      255 192.4557 189.76843 187.7711      Linear regression
2314      250 190.1546 194.92316 187.2632      Linear regression
2315      224 176.3568 200.14732 209.6227      Linear regression
2316      204 187.1195 189.36151 184.2609      Linear regression
2317      201 174.0949 172.20354 174.4303      Linear regression
2318      227 187.9757 176.77733 181.5837      Linear regression
2319      183 187.3961 182.95577 183.9149      Linear regression
2320      234 182.0136 191.44248 187.8856      Linear regression
2321      212 185.1296 211.19380 203.9999      Linear regression
2322      248 188.6670 186.89819 190.2702      Linear regression
2323      221 183.4187 180.37081 175.9588      Linear regression
2324      204 187.0037 190.08020 185.1860      Linear regression
2325      237 188.8330 188.55940 185.5020      Linear regression
2326      123 185.8373 184.21379 181.6060      Linear regression
2327      212 171.6375 186.17966 179.8105      Linear regression
2328      237 183.4356 191.89109 183.9033      Linear regression
2329      222 185.5609 187.12321 193.6286      Linear regression
2330      237 183.7595 187.30927 178.3066      Linear regression
2331      153 187.3155 226.30028 215.7121      Linear regression
2332      219 182.5866 179.51607 172.2202      Linear regression
2333      214 179.9285 178.97694 179.9345      Linear regression
2334      214 172.4350 221.47903 214.5514      Linear regression
2335      219 188.1617 177.46368 180.6199      Linear regression
2336      207 183.6356 182.90310 182.7122      Linear regression
2337      120 181.5660 184.52812 181.1489      Linear regression
2338      171 178.0891 163.56519 166.8524      Linear regression
2339       56 193.2814 175.54830 180.6951      Linear regression
2340      244 190.7821 195.37586 187.3784      Linear regression
2341      188 186.7387 188.79553 184.2370      Linear regression
2342      177 171.1868 153.28809 147.0004      Linear regression
2343      204 180.7660 176.06120 171.1731      Linear regression
2344      232 193.6057 172.74993 176.8383      Linear regression
2345      243 187.1264 183.70313 191.5626      Linear regression
2346      217 190.7126 180.35573 186.1167      Linear regression
2347      254 190.4804 188.14477 189.5214      Linear regression
2348      156 181.8397 182.21710 178.2144      Linear regression
2349      235 184.9048 188.60348 179.3150      Linear regression
2350      212 192.6059 199.03210 188.9233      Linear regression
2351      250 189.7478 193.76689 186.7454      Linear regression
2352      120 191.9914 170.76915 180.9362      Linear regression
2353       31 194.0627 185.42033 182.8499      Linear regression
2354      127 185.4017 188.13672 185.8914      Linear regression
2355      233 186.8796 189.67800 193.1088      Linear regression
2356      183 178.7650 167.64426 169.2472      Linear regression
2357      202 194.4083 185.03301 186.4449      Linear regression
2358       20 172.8442 122.10738 121.1495      Linear regression
2359      231 180.5036 196.19571 201.8227      Linear regression
2360      146 168.4477 139.23551 132.1760      Linear regression
2361      240 188.2968 192.80291 186.6005      Linear regression
2362      135 192.9782 179.65712 182.3052      Linear regression
2363      170 170.4576 149.42083 142.0852      Linear regression
2364      237 184.0565 182.80826 174.8060      Linear regression
2365      139 163.0705 143.14962 149.3192      Linear regression
2366      252 192.5742 190.51551 188.2596      Linear regression
2367      217 184.5933 211.24317 205.4216      Linear regression
2368       66 176.4619 147.38771 151.2635      Linear regression
2369      225 180.4157 187.08570 189.2845      Linear regression
2370       90 195.5231 204.00794 196.8085      Linear regression
2371      249 192.4305 183.10665 188.0724      Linear regression
2372      190 190.7325 173.06665 183.3395      Linear regression
2373      204 185.6926 212.04023 203.9532      Linear regression
2374      236 187.8299 192.30483 188.2544      Linear regression
2375      189 191.6240 177.88177 184.0459      Linear regression
2376      153 187.2820 191.60208 197.8449      Linear regression
2377      178 179.2133 168.58094 167.8585      Linear regression
2378      247 190.0224 192.14811 187.6595      Linear regression
2379      242 186.2667 178.98601 182.2937      Linear regression
2380      150 172.7438 141.94715 140.3721      Linear regression
2381      184 189.4346 177.71304 181.0504      Linear regression
2382      214 176.7431 182.51646 192.5846      Linear regression
2383      257 190.7814 205.93624 205.0731      Linear regression
2384      148 187.8596 214.89049 205.7734      Linear regression
2385      243 187.4107 185.05841 192.0268      Linear regression
2386      157 187.2491 186.24450 192.8600      Linear regression
2387       49 195.7507 203.04401 196.5467      Linear regression
2388      221 188.5911 222.73065 209.9357      Linear regression
2389      234 184.1681 180.52021 175.5279      Linear regression
2390      250 189.5162 194.49906 186.4347      Linear regression
2391      187 178.7361 168.36434 170.5260      Linear regression
2392       50 173.0975 123.39480 123.2321      Linear regression
2393      150 173.1845 244.61685 239.1734      Linear regression
2394      229 190.5048 184.89005 187.0991      Linear regression
2395      187 182.3787 180.93234 176.6044      Linear regression
2396      143 183.9104 192.50056 196.8666      Linear regression
2397      182 173.0319 156.57083 155.5464      Linear regression
2398      238 185.3546 183.97773 176.8079      Linear regression
2399      199 190.3719 173.41443 183.6741      Linear regression
2400      178 165.8838 156.59448 158.3329      Linear regression
2401      212 194.0831 191.68947 191.2656      Linear regression
2402      162 172.8234 147.01225 145.5833      Linear regression
2403      177 187.6843 188.38995 195.0533      Linear regression
2404      169 178.6364 165.47434 166.5649      Linear regression
2405      192 184.5822 189.15644 194.5150      Linear regression
2406      204 186.0115 208.25654 199.0935      Linear regression
2407        8 189.8246 203.35494 197.0579      Linear regression
2408      149 187.1318 186.13306 192.7344      Linear regression
2409      210 194.2841 175.45410 178.5626      Linear regression
2410      262 191.7570 199.49040 194.0275      Linear regression
2411      201 155.9194 147.03781 147.3240      Linear regression
2412      157 170.0775 143.34047 135.5735      Linear regression
2413      194 165.4441 164.98697 168.9603      Linear regression
2414       19 178.9089 168.56859 165.3092      Linear regression
2415      261 191.6628 182.03855 186.9218      Linear regression
2416      227 184.0245 180.52553 177.5270      Linear regression
2417      229 188.3171 188.69868 184.3190      Linear regression
2418      246 189.7488 187.95553 193.8893      Linear regression
2419      231 189.0073 185.92339 192.5306      Linear regression
2420      203 185.6993 212.93204 205.0221      Linear regression
2421      221 174.6675 199.06492 201.4765      Linear regression
2422      263 191.2043 203.64722 196.6673      Linear regression
2423      102 189.8013 192.68051 188.7104      Linear regression
2424      201 190.5248 174.07928 184.1701      Linear regression
2425      157 180.3747 173.86953 168.4014      Linear regression
2426      193 190.6305 173.16081 183.4417      Linear regression
2427      231 186.1700 186.59579 193.4350      Linear regression
2428      248 189.0658 193.86756 186.8657      Linear regression
2429       96 181.5970 186.46084 183.8219      Linear regression
2430      146 195.3921 182.67782 186.2930      Linear regression
2431      194 187.6650 222.47232 209.7451      Linear regression
2432      216 185.0586 207.85100 200.0061      Linear regression
2433      208 188.9545 175.88749 181.3134      Linear regression
2434      210 187.5671 189.81129 199.5420      Linear regression
2435      102 176.8610 151.06490 154.6827      Linear regression
2436      223 187.6556 179.12292 179.7130      Linear regression
2437      227 180.8350 187.05627 187.1144      Linear regression
2438      120 181.2821 182.90208 178.6508      Linear regression
2439      233 185.9612 184.69121 191.7821      Linear regression
2440      142 189.7933 184.28781 183.6398      Linear regression
2441      216 167.5556 187.92345 189.7680      Linear regression
2442       99 181.7436 187.09661 184.9740      Linear regression
2443       14 186.0089 180.21307 184.7301      Linear regression
2444       37 196.2497 172.35411 176.4600      Linear regression
2445      224 186.8680 191.40847 191.6061      Linear regression
2446       50 196.4821 159.85560 169.1818      Linear regression
2447      218 187.0811 191.69425 188.0681      Linear regression
2448      258 192.2553 196.07038 191.9271      Linear regression
2449      179 187.6662 230.46819 215.0846      Linear regression
2450      223 178.2577 191.75279 203.1220      Linear regression
2451      248 189.7091 203.78315 200.1414      Linear regression
2452      153 187.2727 192.06137 198.2138      Linear regression
2453      222 180.2833 183.38656 184.5751      Linear regression
2454      143 164.5337 142.70320 146.3341      Linear regression
2455      197 184.8085 189.37603 194.9537      Linear regression
2456      194 180.8356 175.09864 169.3130      Linear regression
2457      251 189.8130 209.62959 201.8721      Linear regression
2458      226 177.1541 217.53227 229.0752      Linear regression
2459      222 193.9136 182.92865 183.9229      Linear regression
2460      190 192.1064 183.75928 184.5277      Linear regression
2461       50 189.1847 219.80547 211.7036      Linear regression
2462      122 185.9709 159.32479 186.0740      Linear regression
2463      166 182.5656 184.55445 182.9781      Linear regression
2464      154 173.8692 145.39763 147.5947      Linear regression
2465      258 189.9002 216.85381 207.8939      Linear regression
2466      147 195.5904 159.25759 166.9821      Linear regression
2467      200 154.9760 127.83922 142.3569      Linear regression
2468       70 193.7024 182.45516 182.1754      Linear regression
2469      228 185.0421 182.94991 187.2913      Linear regression
2470      231 188.0492 176.38264 182.8233      Linear regression
2471      263 191.1159 206.14892 198.2268      Linear regression
2472      195 181.6871 177.72975 171.1379      Linear regression
2473      143 172.3181 138.82605 135.8762      Linear regression
2474      239 190.3019 188.55697 187.5667      Linear regression
2475      171 163.1877 153.61834 160.0444      Linear regression
2476       44 178.0349 160.24677 160.0744      Linear regression
2477      264 188.5942 211.96589 180.8571      Linear regression
2478      235 184.3377 180.51281 175.8781      Linear regression
2479      246 192.8628 177.22873 183.4597      Linear regression
2480      238 192.2491 198.71539 191.8435      Linear regression
2481      139 193.3473 186.14524 183.7212      Linear regression
2482      120 183.0573 191.85051 194.8297      Linear regression
2483      230 187.4639 155.93879 186.1515      Linear regression
2484      190 188.0275 198.13414 201.8459      Linear regression
2485      195 187.2059 182.82857 196.7293      Linear regression
2486      202 173.5120 237.49275 230.5165      Linear regression
2487      231 193.6416 170.99419 176.5782      Linear regression
2488      209 192.1810 193.00249 186.5560      Linear regression
2489      241 191.0883 196.41750 187.6108      Linear regression
2490      239 193.1494 196.42548 193.4317      Linear regression
2491      164 187.2611 183.00352 188.3060      Linear regression
2492      180 178.5978 166.68127 168.7390      Linear regression
2493      203 187.5238 190.34747 183.2858      Linear regression
2494      256 189.7427 218.75945 207.3865      Linear regression
2495      181 186.2690 190.05389 186.7046      Linear regression
2496      208 185.3512 189.26554 195.0566      Linear regression
2497      213 167.0912 189.83096 194.3550      Linear regression
2498      188 184.6417 189.94159 195.2987       Polynomial model
2499      126 182.3557 188.53914 188.4331       Polynomial model
2500      204 190.7776 176.02804 184.8440       Polynomial model
2501      153 193.9508 199.60770 189.4001       Polynomial model
2502      174 192.7517 186.41724 184.3746       Polynomial model
2503      177 193.2240 195.03717 187.0011       Polynomial model
2504      241 186.3831 178.86153 180.3419       Polynomial model
2505      242 186.3832 178.77189 181.6982       Polynomial model
2506      231 193.4518 197.39235 194.7743       Polynomial model
2507      206 181.9026 178.09397 171.0829       Polynomial model
2508      152 187.3359 205.22988 206.7187       Polynomial model
2509      135 170.8608 134.47704 127.5636       Polynomial model
2510      222 178.2793 190.49255 201.5793       Polynomial model
2511      210 189.4086 174.21851 182.9620       Polynomial model
2512      127 195.5334 190.41215 192.6107       Polynomial model
2513      204 187.3694 184.64595 197.6102       Polynomial model
2514      208 184.9840 187.89469 193.7753       Polynomial model
2515      218 190.1736 177.15068 186.0544       Polynomial model
2516      249 192.5938 204.13475 198.8046       Polynomial model
2517      187 194.4913 211.93670 207.6560       Polynomial model
2518      142 171.2681 137.07568 131.0793       Polynomial model
2519      256 190.5218 195.57255 194.6128       Polynomial model
2520      201 188.8485 178.39349 180.6646       Polynomial model
2521      198 183.8876 185.59766 188.2159       Polynomial model
2522      238 184.4539 186.38637 177.3767       Polynomial model
2523      251 190.1465 186.95057 192.7718       Polynomial model
2524       20 178.2391 162.70417 161.5181       Polynomial model
2525      139 175.6371 147.22858 152.5962       Polynomial model
2526      222 186.4278 190.52585 193.6478       Polynomial model
2527      177 192.9604 190.56870 185.4274       Polynomial model
2528      244 187.6902 158.88822 182.6300       Polynomial model
2529      205 180.4677 175.82756 172.2603       Polynomial model
2530      233 181.2775 193.58656 194.3568       Polynomial model
2531      228 184.6685 198.13789 189.0945       Polynomial model
2532      218 172.3644 214.52407 207.7859       Polynomial model
2533      223 180.4220 184.38416 185.3195       Polynomial model
2534      223 188.0740 177.01144 181.0518       Polynomial model
2535      204 155.9468 144.79172 147.3275       Polynomial model
2536      227 184.5970 200.54157 192.0196       Polynomial model
2537      117 195.7099 179.30481 184.1203       Polynomial model
2538      224 184.7221 182.74034 185.8470       Polynomial model
2539      201 174.0222 171.79511 173.7587       Polynomial model
2540      254 190.5001 193.29121 188.6654       Polynomial model
2541      110 194.5302 201.06039 190.4480       Polynomial model
2542      232 190.8092 189.55981 186.9835       Polynomial model
2543      185 194.8595 174.94753 179.0061       Polynomial model
2544      148 186.0331 186.33714 182.9727       Polynomial model
2545      249 189.4223 190.11900 188.5963       Polynomial model
2546      167 186.5355 185.46297 182.0531       Polynomial model
2547      184 178.5094 167.16942 169.9774       Polynomial model
2548       77 168.9522 120.02215 110.7807       Polynomial model
2549      212 188.0765 180.27869 179.9831       Polynomial model
2550      202 165.6026 170.39487 174.7457       Polynomial model
2551      203 187.4935 186.40557 182.9340       Polynomial model
2552      235 186.1548 184.09197 191.4073       Polynomial model
2553      229 193.7339 170.80628 175.8051       Polynomial model
2554      252 189.5783 220.01554 207.0075       Polynomial model
2555      225 189.6160 177.04738 186.5617       Polynomial model
2556      229 179.8726 196.34493 204.7194       Polynomial model
2557      246 187.8896 183.37767 190.9599       Polynomial model
2558      222 185.3300 199.07754 189.4525       Polynomial model
2559      160 176.8821 156.68269 162.2344       Polynomial model
2560      161 184.2396 191.83112 196.5232       Polynomial model
2561      138 172.4474 137.34571 134.8552       Polynomial model
2562      180 180.0025 171.73878 167.9517       Polynomial model
2563      176 186.3137 189.33981 185.5967       Polynomial model
2564      213 188.2631 227.65753 211.5468       Polynomial model
2565       10 195.1008 200.45990 190.1585       Polynomial model
2566      145 195.4311 187.57893 188.1125       Polynomial model
2567      138 194.9537 205.51857 196.3811       Polynomial model
2568      195 188.7992 180.41988 180.8314       Polynomial model
2569      151 187.3158 215.82933 211.8872       Polynomial model
2570      178 189.8048 176.33322 181.1690       Polynomial model
2571      225 177.0586 201.28797 212.8297       Polynomial model
2572      234 182.3410 188.78979 182.9835       Polynomial model
2573       10 177.3864 154.87745 156.4726       Polynomial model
2574      215 188.2584 183.97763 187.0544       Polynomial model
2575      160 191.5545 172.06307 182.1275       Polynomial model
2576      248 188.7601 186.13024 190.1241       Polynomial model
2577      235 190.4325 187.24807 187.3584       Polynomial model
2578       93 169.6621 123.37129 114.4858       Polynomial model
2579      221 176.4014 194.95257 204.6945       Polynomial model
2580      193 188.0033 187.19180 193.8914       Polynomial model
2581      236 188.0645 176.85853 185.1952       Polynomial model
2582      225 184.9139 183.27325 187.4554       Polynomial model
2583      156 175.2908 150.21806 155.7972       Polynomial model
2584       20 184.7492 137.85696 156.6317       Polynomial model
2585       30 186.3015 235.83407 222.0519       Polynomial model
2586      145 182.5395 187.44355 187.3179       Polynomial model
2587      237 188.5088 212.39913 206.8407       Polynomial model
2588      243 189.5490 188.28357 194.3183       Polynomial model
2589      233 184.9048 180.96760 182.4389       Polynomial model
2590      193 173.5310 165.51689 165.9208       Polynomial model
2591      144 158.8352 184.02183 158.7595       Polynomial model
2592      217 187.8661 179.65581 179.7788       Polynomial model
2593      240 185.2087 180.94284 176.5498       Polynomial model
2594      234 193.1998 184.30707 188.0526       Polynomial model
2595       14 175.8363 141.81433 145.9640       Polynomial model
2596      180 186.9256 213.78137 204.6728       Polynomial model
2597      203 178.7148 259.09320 273.3729       Polynomial model
2598       10 181.0872 188.15557 185.1071       Polynomial model
2599      166 186.0301 189.33559 186.1736       Polynomial model
2600      211 165.6630 176.36485 181.6070       Polynomial model
2601      211 173.0224 182.65130 179.9597       Polynomial model
2602      217 180.9610 179.22789 175.0386       Polynomial model
2603      233 182.3944 187.24936 180.7705       Polynomial model
2604       10 185.4526 179.59971 179.7742       Polynomial model
2605      220 193.8413 196.47180 194.7235       Polynomial model
2606       99 191.3670 172.88415 180.9427       Polynomial model
2607      231 186.8422 180.94854 178.5424       Polynomial model
2608      168 155.3138 148.67721 143.3212       Polynomial model
2609      253 191.2468 194.65438 190.1875       Polynomial model
2610      144 187.1213 189.70716 196.2499       Polynomial model
2611      192 186.6273 209.34991 199.8954       Polynomial model
2612      184 186.8819 173.64831 193.0806       Polynomial model
2613      237 188.9740 222.91909 208.7241       Polynomial model
2614      222 183.5870 180.48945 176.5874       Polynomial model
2615      201 187.7330 184.08512 184.1824       Polynomial model
2616      221 171.5128 201.35277 194.6021       Polynomial model
2617      176 195.0958 175.08540 179.7775       Polynomial model
2618      250 190.8982 197.44255 188.3021       Polynomial model
2619      217 179.4752 181.51965 185.9419       Polynomial model
2620      248 190.4394 195.39121 187.3237       Polynomial model
2621      265 191.0549 214.27812 212.9333       Polynomial model
2622      182 195.0075 166.51027 172.3272       Polynomial model
2623      226 188.5915 225.74637 210.4094       Polynomial model
2624      224 185.6109 193.98575 184.2467       Polynomial model
2625      203 183.6041 183.43376 183.6425       Polynomial model
2626      152 179.9919 171.86625 167.1332       Polynomial model
2627      235 182.4738 195.89116 192.1762       Polynomial model
2628      243 186.6490 178.95880 184.6816       Polynomial model
2629      231 180.7034 193.56837 197.1634       Polynomial model
2630      187 185.6802 191.89314 193.5372       Polynomial model
2631      226 187.9874 176.89818 181.3286       Polynomial model
2632      242 188.2752 179.44799 188.6014       Polynomial model
2633      175 195.0229 178.17493 181.9545       Polynomial model
2634      243 186.9391 178.29076 184.0454       Polynomial model
2635      250 189.5461 194.70945 186.8010       Polynomial model
2636      211 164.8886 174.65985 181.1691       Polynomial model
2637      171 178.8261 166.39806 166.8136       Polynomial model
2638      239 188.8120 221.74263 208.8650       Polynomial model
2639      236 188.5219 216.26017 207.7348       Polynomial model
2640      171 181.9453 180.75601 176.0572       Polynomial model
2641      124 181.5730 184.40324 180.9885       Polynomial model
2642       85 185.8343 167.27296 188.8961       Polynomial model
2643      245 189.0347 219.69126 208.3280       Polynomial model
2644      201 179.8696 174.24465 173.0629       Polynomial model
2645      200 180.3448 174.63233 171.0069       Polynomial model
2646       64 194.3618 193.88926 186.3166       Polynomial model
2647      231 183.4244 203.09667 198.3987       Polynomial model
2648      206 182.5312 179.53697 173.6763       Polynomial model
2649      186 179.4425 170.22124 169.1280       Polynomial model
2650      217 174.3297 191.69689 193.3836       Polynomial model
2651       10 196.3952 166.66618 174.9219       Polynomial model
2652      246 191.3834 198.47362 189.2280       Polynomial model
2653      198 179.7953 173.52735 172.3611       Polynomial model
2654       70 196.1293 180.45865 185.7314       Polynomial model
2655       39 181.1435 185.85039 182.2797       Polynomial model
2656      215 187.6297 186.46582 198.6758       Polynomial model
2657      172 168.3008 151.09075 145.4578       Polynomial model
2658      114 185.6111 136.25550 173.6496       Polynomial model
2659      235 187.1698 190.31374 192.1987       Polynomial model
2660      213 181.3332 178.17734 172.0659       Polynomial model
2661      185 162.7718 160.23536 166.7477       Polynomial model
2662      140 185.5532 188.80340 186.4369       Polynomial model
2663      261 191.9793 189.53793 188.1191       Polynomial model
2664      185 182.0891 179.91735 174.6902       Polynomial model
2665      226 185.6399 192.77578 183.1563       Polynomial model
2666      244 186.9815 179.45541 186.9809       Polynomial model
2667      259 191.4178 182.25881 188.6390       Polynomial model
2668      171 171.3987 150.27341 144.4708       Polynomial model
2669      229 188.3687 188.09350 184.4700       Polynomial model
2670      195 181.1467 176.05601 169.6853       Polynomial model
2671      189 172.3817 233.51396 227.4575       Polynomial model
2672      201 177.2565 172.17515 180.8101       Polynomial model
2673      210 185.7190 206.10150 196.9274       Polynomial model
2674      235 185.3603 181.39279 185.3367       Polynomial model
2675      257 191.2435 188.62697 190.2724       Polynomial model
2676      216 181.4150 178.98152 172.8997       Polynomial model
2677      174 184.0910 189.90738 194.5700       Polynomial model
2678      255 190.4945 184.68131 191.1139       Polynomial model
2679       26 190.7609 184.67053 185.3094       Polynomial model
2680      219 185.1538 203.72663 194.8883       Polynomial model
2681      229 188.7138 224.45696 209.8541       Polynomial model
2682      205 179.2071 256.86904 273.3517       Polynomial model
2683      204 173.8689 174.14902 175.3586       Polynomial model
2684      194 162.3526 163.62361 169.6920       Polynomial model
2685      244 186.8156 179.01563 185.5586       Polynomial model
2686       95 190.7167 179.55598 182.6982       Polynomial model
2687      259 191.9591 212.66201 205.5281       Polynomial model
2688      263 190.2303 213.50813 209.2159       Polynomial model
2689      113 195.8805 177.54690 180.7111       Polynomial model
2690      250 189.2701 192.31306 188.1162       Polynomial model
2691       16 195.6180 207.04230 197.2893       Polynomial model
2692       56 186.5058 239.11804 221.1917       Polynomial model
2693      236 188.8915 186.30182 186.6547       Polynomial model
2694      218 186.7830 187.77934 180.6140       Polynomial model
2695      205 179.3905 174.84125 176.6680       Polynomial model
2696      207 171.4363 179.43745 173.0149       Polynomial model
2697      210 164.2910 173.22624 180.2238       Polynomial model
2698      185 182.4138 181.32935 177.3467       Polynomial model
2699      131 177.2820 154.96368 158.2855       Polynomial model
2700      243 186.7790 178.36038 183.1831       Polynomial model
2701      259 190.3307 213.68455 202.9111       Polynomial model
2702      155 192.3714 176.91312 182.5583       Polynomial model
2703      202 173.1747 173.37562 171.9459       Polynomial model
2704      150 178.1405 161.32664 163.0004       Polynomial model
2705      157 186.5148 177.82487 193.8389       Polynomial model
2706      262 191.3210 197.58005 193.2372       Polynomial model
2707      213 190.4972 176.95018 185.5592       Polynomial model
2708      222 180.1177 184.31086 186.7744       Polynomial model
2709      105 195.8452 171.14045 177.6464       Polynomial model
2710      190 189.8288 174.22315 181.6034       Polynomial model
2711      206 191.9972 189.15265 185.7544       Polynomial model
2712      232 181.3753 192.03716 191.6504       Polynomial model
2713      162 186.2574 186.94547 183.2115       Polynomial model
2714      150 177.3755 157.31730 161.2910       Polynomial model
2715      199 171.5770 224.24812 218.9534       Polynomial model
2716      179 174.3871 156.57190 160.3630       Polynomial model
2717      152 182.8285 187.90356 188.7604       Polynomial model
2718      157 162.9993 148.88282 155.2956       Polynomial model
2719      130 189.2206 196.84871 190.7069       Polynomial model
2720      243 189.5776 190.64207 195.5329       Polynomial model
2721       86 169.2567 121.74079 112.5982       Polynomial model
2722      223 180.1362 185.01743 187.7047       Polynomial model
2723      197 179.7667 172.94269 171.5951       Polynomial model
2724       18 188.0577 241.24772 235.8983       Polynomial model
2725      171 193.8225 201.36615 190.5718       Polynomial model
2726      170 179.9345 171.20624 167.1999       Polynomial model
2727      102 176.7328 150.14694 153.9808       Polynomial model
2728      142 172.5328 138.89791 136.6657       Polynomial model
2729      110 182.4802 190.24906 191.1815       Polynomial model
2730      101 194.0892 191.95653 185.4721       Polynomial model
2731      244 187.9486 188.38125 191.4051       Polynomial model
2732       40 178.4327 164.37616 162.5787       Polynomial model
2733      244 192.7733 182.66243 187.4938       Polynomial model
2734      178 177.3620 162.57854 168.5126       Polynomial model
2735      179 186.6924 187.27069 183.0431       Polynomial model
2736      210 194.3400 168.33423 173.3794       Polynomial model
2737       74 179.9910 176.02917 170.8484       Polynomial model
2738      232 182.8810 183.64538 175.3893       Polynomial model
2739      204 179.2795 174.39046 176.5937       Polynomial model
2740      234 182.2782 200.28466 199.1647       Polynomial model
2741      194 164.0502 164.44143 170.7648       Polynomial model
2742      240 185.2271 181.86828 176.2578       Polynomial model
2743      245 188.8777 214.48493 207.5146       Polynomial model
2744      199 188.9939 177.63723 180.7858       Polynomial model
2745      100 192.2038 170.54770 180.6195       Polynomial model
2746      114 178.0097 159.48219 160.2632       Polynomial model
2747       72 190.6721 181.99676 183.7634       Polynomial model
2748      245 188.1637 180.39484 189.2722       Polynomial model
2749      179 194.1103 204.43821 194.4940       Polynomial model
2750      246 188.0056 181.98078 190.2508       Polynomial model
2751      119 177.7315 157.54559 159.3232       Polynomial model
2752      184 194.9142 175.46899 180.2598       Polynomial model
2753       45 163.5299 125.67442 129.9238       Polynomial model
2754      219 184.5600 210.15017 204.1007       Polynomial model
2755       52 196.0883 167.33229 174.8963       Polynomial model
2756      108 192.8241 174.44629 181.1308       Polynomial model
2757       75 196.0262 167.30239 174.7507       Polynomial model
2758      209 180.4615 176.68497 173.6217       Polynomial model
2759      262 191.8089 187.87518 187.7648       Polynomial model
2760      261 191.4284 186.80884 188.6814       Polynomial model
2761      207 186.2745 191.69109 192.1243       Polynomial model
2762       60 196.3878 153.51291 162.9837       Polynomial model
2763       25 192.4301 169.93202 179.9839       Polynomial model
2764      227 184.4461 201.98543 194.0627       Polynomial model
2765      222 178.0325 233.04481 246.8892       Polynomial model
2766      200 182.6503 180.53969 176.0133       Polynomial model
2767      223 185.7293 187.33414 193.8695       Polynomial model
2768      259 190.2617 214.85067 203.6688       Polynomial model
2769      245 187.5041 183.55273 191.3342       Polynomial model
2770      140 174.0892 141.40994 144.2192       Polynomial model
2771      173 164.9640 153.77244 157.5565       Polynomial model
2772      227 181.5522 184.33005 179.8265       Polynomial model
2773      249 189.0160 191.15669 188.8036       Polynomial model
2774      178 176.7695 160.56028 167.3648       Polynomial model
2775      209 175.9882 178.64212 187.1353       Polynomial model
2776      260 190.7127 204.84342 197.7902       Polynomial model
2777      212 187.4929 189.05356 183.7596       Polynomial model
2778      239 184.8390 184.54812 176.4421       Polynomial model
2779      212 193.6267 198.48428 193.9597       Polynomial model
2780      255 190.5867 192.07385 189.0964       Polynomial model
2781      235 183.2303 196.76707 190.6310       Polynomial model
2782      263 190.2347 212.95756 209.3604       Polynomial model
2783      220 178.3069 236.75420 251.3405       Polynomial model
2784      161 193.7138 197.71039 188.2775       Polynomial model
2785      245 192.9629 186.71696 185.7962       Polynomial model
2786      224 189.9470 178.06866 186.6873       Polynomial model
2787       48 185.0791 131.04805 163.2531       Polynomial model
2788      233 193.4142 196.16974 193.7026       Polynomial model
2789      220 177.9948 187.35072 198.1626       Polynomial model
2790      197 173.1831 168.85983 167.7573       Polynomial model
2791      222 193.1959 199.33564 193.6063       Polynomial model
2792      171 164.2832 153.46182 158.6079       Polynomial model
2793      215 179.8015 179.41578 181.2565       Polynomial model
2794      214 181.8600 178.55610 171.3460       Polynomial model
2795      190 179.7381 171.63377 169.6034       Polynomial model
2796       22 178.3742 163.69153 162.1474       Polynomial model
2797      180 164.0004 157.69749 163.5939       Polynomial model
2798      137 195.6454 165.26307 172.2786       Polynomial model
2799       80 195.8089 190.10089 192.7429       Polynomial model
2800      245 187.4091 181.04523 189.6309       Polynomial model
2801      225 188.6330 184.35744 188.5050       Polynomial model
2802      252 190.1032 192.39488 187.8593       Polynomial model
2803      218 186.0852 194.93533 185.2709       Polynomial model
2804      252 191.5128 194.59364 190.7397       Polynomial model
2805      191 180.4127 173.67642 168.9962       Polynomial model
2806      167 172.0872 233.50199 229.9962       Polynomial model
2807      231 180.9364 193.56294 196.0094       Polynomial model
2808      190 179.1849 170.23693 170.7943       Polynomial model
2809      158 172.6044 238.69868 234.3437       Polynomial model
2810      226 193.8047 179.50911 181.1607       Polynomial model
2811      242 189.1025 182.88839 189.2342       Polynomial model
2812      185 189.1410 180.39190 181.2277       Polynomial model
2813      195 173.8418 166.49963 168.0452       Polynomial model
2814      150 191.6727 171.57025 181.7239       Polynomial model
2815      262 191.2749 194.12355 191.7526       Polynomial model
2816      260 191.6897 181.24063 186.9905       Polynomial model
2817      257 191.0876 186.16063 190.0100       Polynomial model
2818      190 173.3543 162.36802 162.2654       Polynomial model
2819      243 187.0602 183.30558 191.3041       Polynomial model
2820      218 179.9982 181.01441 182.5775       Polynomial model
2821      174 184.7469 191.58778 196.2941       Polynomial model
2822      188 176.1400 163.61120 171.2678       Polynomial model
2823      210 187.2968 188.20605 181.6186       Polynomial model
2824      215 192.2751 196.24711 187.5863       Polynomial model
2825      241 185.8259 179.52020 181.7994       Polynomial model
2826      189 172.3968 161.84916 158.4126       Polynomial model
2827      190 194.7201 180.89968 184.3761       Polynomial model
2828       38 185.1481 130.08594 167.4785       Polynomial model
2829      228 188.6712 224.55043 210.0228       Polynomial model
2830      152 195.3518 177.97740 182.3969       Polynomial model
2831      256 190.7222 191.59123 189.4595       Polynomial model
2832      257 190.7268 205.69187 204.3732       Polynomial model
2833      238 184.5449 181.03672 175.4933       Polynomial model
2834      139 187.5957 223.69459 215.5782       Polynomial model
2835      247 188.1751 183.22036 190.6058       Polynomial model
2836       41 196.2303 173.62410 177.4277       Polynomial model
2837      123 182.9401 191.42399 193.9932       Polynomial model
2838       70 196.1556 193.82904 191.4775       Polynomial model
2839      119 195.7199 177.55913 182.7205       Polynomial model
2840      136 185.1640 185.12110 152.9529       Polynomial model
2841      109 179.8699 173.64033 168.6697       Polynomial model
2842      247 189.7247 185.16768 189.9084       Polynomial model
2843      185 190.4621 172.58523 182.3364       Polynomial model
2844       44 194.8228 200.45831 190.0973       Polynomial model
2845       76 174.2660 133.25195 136.1964       Polynomial model
2846      264 191.1476 207.93122 199.4569       Polynomial model
2847       55 193.0987 173.50265 180.3970       Polynomial model
2848       29 185.6171 180.28270 180.0075       Polynomial model
2849      227 187.5275 191.89448 186.9861       Polynomial model
2850      216 188.3088 177.50392 180.5926       Polynomial model
2851      158 187.2943 187.58566 194.2681       Polynomial model
2852       72 180.9871 183.56720 179.2377       Polynomial model
2853      138 190.0291 182.27264 183.0386       Polynomial model
2854      173 172.9494 151.91430 150.7733       Polynomial model
2855      168 188.3489 197.69824 189.9519       Polynomial model
2856      251 189.6825 194.65794 187.0638       Polynomial model
2857      223 177.9304 230.55978 244.1787       Polynomial model
2858       35 176.3577 146.19765 150.0270       Polynomial model
2859       64 190.1711 190.57426 187.9553       Polynomial model
2860      230 191.1054 191.59222 186.8808       Polynomial model
2861       74 195.6318 214.13041 209.7466       Polynomial model
2862      222 188.2257 186.52577 184.4727       Polynomial model
2863      229 182.9681 181.24223 173.2020       Polynomial model
2864      244 193.0023 183.75345 183.8145       Polynomial model
2865       80 191.8148 171.01042 180.5528       Polynomial model
2866      223 186.3343 189.93372 194.0864       Polynomial model
2867       66 195.5105 229.25045 219.4307       Polynomial model
2868      207 186.1429 203.43293 193.6840       Polynomial model
2869      210 193.8602 194.75242 192.8425       Polynomial model
2870      235 188.8276 186.48417 186.3334       Polynomial model
2871      193 185.1933 190.88178 195.7557       Polynomial model
2872      235 182.9245 195.40799 189.8343       Polynomial model
2873      193 170.8491 220.41553 217.7943       Polynomial model
2874      254 188.6036 175.50610 197.2843       Polynomial model
2875      158 174.1283 253.42747 246.2103       Polynomial model
2876      229 180.8555 190.43450 191.9109       Polynomial model
2877      171 164.7576 152.93488 157.0964       Polynomial model
2878       95 177.2118 153.44218 156.1886       Polynomial model
2879      225 188.8657 194.10796 198.4690       Polynomial model
2880      229 183.6305 180.33677 174.6189       Polynomial model
2881       30 175.4983 138.52723 142.5971       Polynomial model
2882      216 167.4401 187.23050 189.3397       Polynomial model
2883      176 186.5741 187.51346 183.3241       Polynomial model
2884      218 188.5362 176.09279 181.5754       Polynomial model
2885      249 189.7700 192.46935 187.7683       Polynomial model
2886      228 183.9718 180.47721 177.1352       Polynomial model
2887       54 185.7932 180.22383 180.2878       Polynomial model
2888      221 172.1402 200.99109 194.6544       Polynomial model
2889      246 192.8937 194.98291 191.8503       Polynomial model
2890      237 189.0273 221.29530 208.1095       Polynomial model
2891      223 180.2038 184.69040 186.8871       Polynomial model
2892      142 177.0641 154.73030 159.0108       Polynomial model
2893      192 188.0615 196.61970 200.9251       Polynomial model
2894       10 186.0709 182.96095 189.0367       Polynomial model
2895      135 191.4371 171.22527 181.0981       Polynomial model
2896      216 187.8508 204.58255 204.1949       Polynomial model
2897      205 192.5704 225.13275 219.3583       Polynomial model
2898      236 187.4110 190.99138 191.1634       Polynomial model
2899      218 172.5516 216.59582 209.9234       Polynomial model
2900      216 187.0590 191.53711 187.6074       Polynomial model
2901      166 183.9275 190.27071 194.6935       Polynomial model
2902      235 188.1306 192.09539 185.6320       Polynomial model
2903      211 194.2674 176.31570 179.2144       Polynomial model
2904      246 189.2603 191.88063 185.9508       Polynomial model
2905      150 187.9506 212.35175 203.1461       Polynomial model
2906       92 194.4791 197.96107 188.4862       Polynomial model
2907      174 178.6070 165.90986 167.4700       Polynomial model
2908       50 186.3768 185.46090 191.9812       Polynomial model
2909      227 176.9931 211.31482 222.5672       Polynomial model
2910      190 182.7820 182.25659 179.5212       Polynomial model
2911      215 192.0421 193.46091 186.7359       Polynomial model
2912      102 163.2123 133.92938 139.4284       Polynomial model
2913       71 178.8506 166.77715 164.0750       Polynomial model
2914      239 187.3001 177.54191 183.0741       Polynomial model
2915      198 187.7261 183.72299 184.5127       Polynomial model
2916       69 193.9879 186.98209 183.4923       Polynomial model
2917      254 190.4069 184.88459 190.2523       Polynomial model
2918        6 194.1802 185.89893 182.9375       Polynomial model
2919       59 182.4731 192.23975 193.9136       Polynomial model
2920      150 181.8963 183.27105 179.8329       Polynomial model
2921       15 189.6678 205.91355 199.0061       Polynomial model
2922      138 171.6412 136.40919 131.4035       Polynomial model
2923      238 188.8674 178.93632 188.1056       Polynomial model
2924      101 161.5414 137.44116 144.1122       Polynomial model
2925      194 185.0522 190.35052 195.6758       Polynomial model
2926      222 178.1541 190.47998 201.7207       Polynomial model
2927      203 167.4428 172.86947 172.1935       Polynomial model
2928       54 181.3091 186.31773 183.1333       Polynomial model
2929      199 187.3072 195.52562 186.8061       Polynomial model
2930      148 173.3375 142.49393 142.9650       Polynomial model
2931      219 187.3166 182.75548 179.3270       Polynomial model
2932      233 189.1121 187.44187 194.0154       Polynomial model
2933      174 187.2730 182.24198 184.7939       Polynomial model
2934      224 184.7777 182.91486 186.3668       Polynomial model
2935      218 172.8407 218.56003 212.1309       Polynomial model
2936      156 170.4061 143.08761 135.5865       Polynomial model
2937       30 167.3260 117.07993 109.7161       Polynomial model
2938      140 195.3728 192.31351 193.8518       Polynomial model
2939      228 179.8115 193.14475 200.6283       Polynomial model
2940      172 167.9852 151.53951 146.6774       Polynomial model
2941      226 188.0883 189.20547 184.0360       Polynomial model
2942      224 178.6820 191.95130 202.6584       Polynomial model
2943      146 186.3171 171.63033 191.3212       Polynomial model
2944      241 189.0787 222.72653 208.4632       Polynomial model
2945      224 177.0632 197.33867 208.7872       Polynomial model
2946       99 178.5208 163.49341 162.2201       Polynomial model
2947       83 167.8837 121.86294 113.9604       Polynomial model
2948      122 183.5501 192.95035 196.9679       Polynomial model
2949      159 178.0607 161.69104 164.1520       Polynomial model
2950      215 194.2306 167.26481 173.3597       Polynomial model
2951      195 183.0701 182.74739 180.9953       Polynomial model
2952       40 191.3944 177.69918 182.5038       Polynomial model
2953      232 185.1390 181.86072 185.5267       Polynomial model
2954      242 186.9886 225.46915 165.3585       Polynomial model
2955      229 181.1149 188.83247 188.2986       Polynomial model
2956      208 185.1423 215.26236 209.1147       Polynomial model
2957      229 181.2179 187.79802 186.2993       Polynomial model
2958      188 186.1381 219.65822 212.4730       Polynomial model
2959      199 194.6405 166.24581 171.8832       Polynomial model
2960      163 194.3295 204.90473 194.3038       Polynomial model
2961      128 180.0361 173.70320 168.5712       Polynomial model
2962      171 187.4733 184.74860 191.0244       Polynomial model
2963      237 183.3422 186.53698 177.9043       Polynomial model
2964       32 183.5577 193.97464 197.4429       Polynomial model
2965      230 185.1415 192.22509 182.5630       Polynomial model
2966      191 187.1230 186.54107 182.6130       Polynomial model
2967      214 183.7067 181.91588 180.8306       Polynomial model
2968      136 182.3954 187.71878 187.3530       Polynomial model
2969      261 190.8449 207.58392 199.1305       Polynomial model
2970      243 186.5782 178.97683 184.3798       Polynomial model
2971      246 189.9840 191.00208 187.8238       Polynomial model
2972      145 168.1129 139.32854 132.8885       Polynomial model
2973      247 190.3129 194.34115 187.3354       Polynomial model
2974      162 181.6866 180.58288 175.6970       Polynomial model
2975      170 183.3805 187.83261 190.1724       Polynomial model
2976      170 187.2669 182.21925 185.8408       Polynomial model
2977       40 191.8321 172.88011 180.8384       Polynomial model
2978      177 186.4388 146.70929 180.8555       Polynomial model
2979      253 190.3712 185.33668 190.0724       Polynomial model
2980      262 191.7232 193.44988 190.5163       Polynomial model
2981      240 192.1222 198.26606 191.6308       Polynomial model
2982      232 180.8857 196.94480 201.0760       Polynomial model
2983      261 189.7248 205.51013 207.9888       Polynomial model
2984      239 185.3211 179.93334 180.3920       Polynomial model
2985      258 190.9595 204.85896 210.0100       Polynomial model
2986       71 164.8029 125.06549 125.9731       Polynomial model
2987      217 194.1428 169.44216 174.2223       Polynomial model
2988      130 183.6660 192.83489 196.9723       Polynomial model
2989       60 175.9933 142.98354 147.0326       Polynomial model
2990       52 177.0084 151.56596 154.3746       Polynomial model
2991      261 189.6183 200.96188 207.1122       Polynomial model
2992       90 186.7596 201.75171 205.2618       Polynomial model
2993      148 190.2093 177.98580 181.6771       Polynomial model
2994      141 162.0345 145.50663 152.0855       Polynomial model
2995      234 182.0346 198.99811 198.4611       Polynomial model
2996      242 186.2473 179.43890 184.1259       Polynomial model
2997      210 187.0578 190.75764 182.8923       Polynomial model
2998      193 189.4358 175.86982 181.1579       Polynomial model
2999       30 171.6110 117.92782 112.9220       Polynomial model
3000      235 186.0815 182.99261 177.5706       Polynomial model
3001      218 184.2462 182.90812 184.5896       Polynomial model
3002      152 182.7526 187.41677 187.8362       Polynomial model
3003      214 185.9363 190.05949 194.7511       Polynomial model
3004       30 177.1485 152.96840 154.9800       Polynomial model
3005      203 173.6643 173.73024 174.1561       Polynomial model
3006      206 184.1123 184.77361 187.5428       Polynomial model
3007      238 193.3553 175.09498 178.4551       Polynomial model
3008      187 182.0592 179.60478 174.1391       Polynomial model
3009      155 173.0953 144.60114 144.1909       Polynomial model
3010      161 174.3314 148.91964 152.5129       Polynomial model
3011      214 168.4169 196.06426 196.6844       Polynomial model
3012      151 189.4092 187.23439 184.5688       Polynomial model
3013      220 172.4632 212.60014 206.0494       Polynomial model
3014      207 189.1456 175.16342 181.7123       Polynomial model
3015      227 177.2064 204.07346 216.0132       Polynomial model
3016      180 165.0301 157.15393 161.1558       Polynomial model
3017      199 177.4160 171.49831 179.7407       Polynomial model
3018      202 194.5205 170.51715 174.9892       Polynomial model
3019      266 190.8207 215.86441 208.4212       Polynomial model
3020      236 187.6172 191.76871 189.7798       Polynomial model
3021      211 178.9506 251.01738 266.9951       Polynomial model
3022      135 190.8108 174.47749 181.2236       Polynomial model
3023      144 182.2165 185.83560 184.1759       Polynomial model
3024      111 186.3777 215.09926 207.1204       Polynomial model
3025      207 173.1532 177.44131 175.6362       Polynomial model
3026      222 193.3461 197.46664 193.4889       Polynomial model
3027      224 176.2613 223.33324 230.3882       Polynomial model
3028      259 192.1066 193.58378 190.2506       Polynomial model
3029      173 175.4356 156.03399 162.2850       Polynomial model
3030      124 187.8058 225.96473 218.0754       Polynomial model
3031      221 172.0500 201.93933 195.4505       Polynomial model
3032      192 187.3463 184.99894 182.6950       Polynomial model
3033      211 187.6689 184.41080 180.3701       Polynomial model
3034      146 165.0886 142.38481 144.5826       Polynomial model
3035      154 176.2635 152.88226 158.7584       Polynomial model
3036       30 184.6333 187.70707 186.8495       Polynomial model
3037      227 177.1796 212.65058 224.4707       Polynomial model
3038      106 192.1131 170.55306 180.6933       Polynomial model
3039      211 175.4807 180.89093 187.9279       Polynomial model
3040      235 187.0006 178.64687 179.8601       Polynomial model
3041      221 183.9110 181.17489 179.5294       Polynomial model
3042      121 195.7706 169.83630 176.4080       Polynomial model
3043      106 169.6046 126.06513 117.2940       Polynomial model
3044      251 190.0500 191.38238 194.7579       Polynomial model
3045      244 189.5118 185.24516 189.4565       Polynomial model
3046      237 183.6293 191.88051 183.5032       Polynomial model
3047      142 187.1974 202.74059 205.4836       Polynomial model
3048      265 188.6527 211.06333 181.5034       Polynomial model
3049      197 187.2454 187.12138 182.8669       Polynomial model
3050      237 190.4924 189.66046 187.3374       Polynomial model
3051      194 184.3541 188.14945 193.0174       Polynomial model
3052      210 185.8281 205.34841 195.9694       Polynomial model
3053      225 193.2183 227.44022 219.5229       Polynomial model
3054      104 182.0140 188.28130 187.2193       Polynomial model
3055      175 181.0638 176.22695 170.0244       Polynomial model
3056      232 184.2570 196.46410 187.7818       Polynomial model
3057       93 196.0245 173.46479 177.5420       Polynomial model
3058      188 185.3698 191.68116 195.2309       Polynomial model
3059      193 181.8619 178.44541 172.1799       Polynomial model
3060      197 172.0557 228.72790 222.7128       Polynomial model
3061      228 188.6107 175.78475 184.5665       Polynomial model
3062      216 189.1958 174.60804 183.5405       Polynomial model
3063      185 180.6790 174.40009 168.7456       Polynomial model
3064      137 184.0358 192.91337 197.1099       Polynomial model
3065      113 185.7730 183.91603 181.4584       Polynomial model
3066      156 195.3675 171.10611 176.7204       Polynomial model
3067      222 174.6898 201.58642 203.8090       Polynomial model
3068      176 174.3122 154.70301 158.2662       Polynomial model
3069      265 190.1650 201.46174 198.6276       Polynomial model
3070      168 186.5230 186.15769 182.4306       Polynomial model
3071      114 185.2121 188.74360 187.0406       Polynomial model
3072      242 188.5397 193.12479 186.4840       Polynomial model
3073      186 186.2917 190.84144 188.0594       Polynomial model
3074      203 176.2267 172.67922 181.3076       Polynomial model
3075      215 166.7167 184.59905 188.7065       Polynomial model
3076      183 187.8864 210.02883 207.9826       Polynomial model
3077       30 167.8881 116.86838 108.3807       Polynomial model
3078      201 179.3960 173.47879 174.5872       Polynomial model
3079      226 188.7403 218.85469 208.3623       Polynomial model
3080      227 193.7524 172.32856 178.6158       Polynomial model
3081       40 196.2581 198.23845 194.0544       Polynomial model
3082      232 180.8224 195.50907 199.3459       Polynomial model
3083      225 176.5665 205.24006 215.2530       Polynomial model
3084      203 194.5042 172.26538 176.3261       Polynomial model
3085      220 171.8154 207.11711 200.3388       Polynomial model
3086      111 161.8942 138.27338 144.9753       Polynomial model
3087      243 187.4342 186.68765 192.3669       Polynomial model
3088       30 181.6580 190.64028 189.5974       Polynomial model
3089       30 175.9208 142.26999 146.3230       Polynomial model
3090      222 180.1593 183.99755 186.1067       Polynomial model
3091      192 194.2324 199.78164 194.7475       Polynomial model
3092      230 193.5459 193.90379 192.0941       Polynomial model
3093      185 189.6157 176.14471 181.1253       Polynomial model
3094      261 190.6403 211.45457 201.5566       Polynomial model
3095      232 186.1064 184.05640 177.8846       Polynomial model
3096      216 192.4751 198.90422 188.8408       Polynomial model
3097      221 191.2376 187.98836 186.3536       Polynomial model
3098      221 180.0009 184.08915 187.0445       Polynomial model
3099      263 191.2165 197.79696 193.5259       Polynomial model
3100      228 193.7155 181.36213 182.4654       Polynomial model
3101       76 178.8932 167.02289 164.2260       Polynomial model
3102      208 166.0692 174.74054 178.5957       Polynomial model
3103       95 195.8575 176.90922 182.4344       Polynomial model
3104      259 190.2687 216.50574 205.2032       Polynomial model
3105      234 184.7423 180.38425 179.5365       Polynomial model
3106      193 181.2813 176.47313 169.9532       Polynomial model
3107      234 188.9566 177.50692 187.1313       Polynomial model
3108      261 191.9544 197.11211 192.5072       Polynomial model
3109      153 195.3632 176.57651 181.2643       Polynomial model
3110       78 188.1495 229.50115 221.9819       Polynomial model
3111      120 163.8648 135.96330 140.4280       Polynomial model
3112       84 185.5272 184.06993 181.7581       Polynomial model
3113      224 184.6178 182.58220 185.1787       Polynomial model
3114      194 188.6705 181.81930 181.0081       Polynomial model
3115      228 187.9471 191.06745 184.8445       Polynomial model
3116        3 186.2795 240.99584 222.0351       Polynomial model
3117      241 187.5229 177.68520 185.1403       Polynomial model
3118      242 187.1510 178.22010 184.9475       Polynomial model
3119      248 189.9606 192.43901 187.6597       Polynomial model
3120      228 180.5384 189.51026 192.1675       Polynomial model
3121      170 168.2204 150.38257 144.8528       Polynomial model
3122      242 189.7231 186.61335 188.4541       Polynomial model
3123       94 186.6635 238.41268 220.0590       Polynomial model
3124      115 195.7736 171.16272 177.5296       Polynomial model
3125      166 186.5574 185.15761 181.9147       Polynomial model
3126      264 190.0765 205.44032 209.2210       Polynomial model
3127      166 192.4996 180.28143 183.1806       Polynomial model
3128      183 157.9398 161.00606 155.3196       Polynomial model
3129      230 187.2036 179.49101 179.2722       Polynomial model
3130      231 180.6251 196.00568 200.9908       Polynomial model
3131      258 192.1341 206.02981 199.5349       Polynomial model
3132      172 184.1986 190.56074 195.4146       Polynomial model
3133      181 195.0062 167.78475 173.3619       Polynomial model
3134      216 173.7634 189.76811 189.2476       Polynomial model
3135      173 187.7109 210.09769 208.4321       Polynomial model
3136      236 184.8943 180.16537 178.7605       Polynomial model
3137      220 171.4911 201.52526 194.7759       Polynomial model
3138      239 185.1387 182.58324 176.1432       Polynomial model
3139      252 192.2059 185.42526 189.3700       Polynomial model
3140      226 189.3903 176.49846 186.3199       Polynomial model
3141      256 192.1373 179.73725 186.0233       Polynomial model
3142      134 180.9885 179.66691 174.4029       Polynomial model
3143      244 188.5015 180.66071 189.2590       Polynomial model
3144      240 187.5396 189.46020 191.8866       Polynomial model
3145      139 192.6517 176.63361 182.0221       Polynomial model
3146      250 192.7131 176.50877 181.6074       Polynomial model
3147      125 164.0232 136.87692 141.0899       Polynomial model
3148      219 179.9539 181.52006 183.5494       Polynomial model
3149      256 190.7245 183.92432 190.4066       Polynomial model
3150      210 178.7314 177.49814 183.6265       Polynomial model
3151      248 189.7771 185.80645 189.3420       Polynomial model
3152       10 181.1544 187.25269 184.0789       Polynomial model
3153      238 185.9107 181.27967 187.0434       Polynomial model
3154      217 193.9105 184.42080 187.4927       Polynomial model
3155       73 196.0419 165.35822 173.1159       Polynomial model
3156      220 188.7400 175.30033 182.8283       Polynomial model
3157      220 171.9565 208.49686 201.7279       Polynomial model
3158       40 190.1132 200.34865 195.0884       Polynomial model
3159      240 185.2900 182.01473 176.3392       Polynomial model
3160      212 188.6482 176.62031 181.0123       Polynomial model
3161      264 188.6601 211.83157 181.4782       Polynomial model
3162      229 189.5663 178.62029 187.3545       Polynomial model
3163      237 186.2367 180.75758 177.8826       Polynomial model
3164      225 188.7089 220.95193 209.0595       Polynomial model
3165      221 188.6404 186.42091 193.0858       Polynomial model
3166      183 190.3297 172.88457 181.9749       Polynomial model
3167      242 190.4160 191.58475 187.4029       Polynomial model
3168      145 195.3476 192.59836 191.2736       Polynomial model
3169      169 190.4231 173.54878 181.3637       Polynomial model
3170      175 191.3018 172.68093 182.7163       Polynomial model
3171      143 186.6950 216.15170 207.5171       Polynomial model
3172      114 195.9271 157.64548 166.0640       Polynomial model
3173      166 187.2527 182.69046 187.6253       Polynomial model
3174      222 181.5541 180.89337 175.0407       Polynomial model
3175      223 190.5702 182.30732 186.6908       Polynomial model
3176       22 192.7341 170.27619 179.8791       Polynomial model
3177      263 191.1250 205.26522 197.6694       Polynomial model
3178      253 192.4918 177.97521 182.6497       Polynomial model
3179      145 193.1746 184.63811 183.4327       Polynomial model
3180      107 190.7300 178.28618 182.2088       Polynomial model
3181      240 185.2861 179.91729 178.7189       Polynomial model
3182       71 194.1112 235.51746 232.7053       Polynomial model
3183      247 192.8404 188.77872 187.1731       Polynomial model
3184      204 189.8794 173.57786 183.2864       Polynomial model
3185      154 174.9203 148.07664 152.9818       Polynomial model
3186      221 193.6885 205.68992 201.9922       Polynomial model
3187      217 186.4144 192.22081 183.2180       Polynomial model
3188      225 193.7688 177.15415 182.7057       Polynomial model
3189      241 187.1692 177.84575 183.7245       Polynomial model
3190        5 194.9860 201.15700 190.6070       Polynomial model
3191      139 195.6042 167.56198 174.1660       Polynomial model
3192      182 187.8621 216.97576 210.7950       Polynomial model
3193      213 191.6836 188.11908 185.8683       Polynomial model
3194      144 181.4044 181.27335 176.5646       Polynomial model
3195      186 183.0775 184.07902 183.3916       Polynomial model
3196      111 193.8306 188.76685 184.2739       Polynomial model
3197      128 195.6158 179.23234 183.8975       Polynomial model
3198      187 178.3421 167.34173 171.0940       Polynomial model
3199      254 190.2621 194.22302 195.0562       Polynomial model
3200      235 183.1902 183.93502 175.4001       Polynomial model
3201      244 193.0629 176.02062 179.6339       Polynomial model
3202      202 192.5837 195.08069 187.1156       Polynomial model
3203       80 195.8378 220.07201 213.6639       Polynomial model
3204      100 177.0074 152.04669 155.3398       Polynomial model
3205      241 186.1361 179.79231 184.6273       Polynomial model
3206      170 186.8446 183.93422 181.8539       Polynomial model
3207       20 168.9817 114.58836 104.8962       Polynomial model
3208      254 190.4631 189.84533 189.2069       Polynomial model
3209       19 185.6758 179.61837 180.1973       Polynomial model
3210      229 180.4522 191.65363 195.6596       Polynomial model
3211      234 183.5358 182.27902 174.1048       Polynomial model
3212      114 186.8096 237.02624 219.5836       Polynomial model
3213      241 189.4647 194.79267 197.6111       Polynomial model
3214      199 183.9733 185.70224 188.6307       Polynomial model
3215      233 184.4010 180.35104 177.3424       Polynomial model
3216       32 179.7074 175.16942 170.2307       Polynomial model
3217      221 189.9113 176.77299 186.1727       Polynomial model
3218      149 178.1743 161.46183 162.9788       Polynomial model
3219      239 192.4716 195.51216 192.2540       Polynomial model
3220      206 172.3117 176.77028 172.2628       Polynomial model
3221      169 157.9237 167.28244 154.7235       Polynomial model
3222      236 187.1909 189.73826 192.4623       Polynomial model
3223      112 191.7305 170.85276 180.7425       Polynomial model
3224      240 185.3040 180.16591 177.6364       Polynomial model
3225      220 188.5338 184.52859 190.1778       Polynomial model
3226      243 186.7097 179.00510 185.0913       Polynomial model
3227      239 193.1278 178.03540 183.9782       Polynomial model
3228      250 189.6222 192.56348 187.8285       Polynomial model
3229      234 186.5979 187.57607 193.6069       Polynomial model
3230      233 189.6477 180.12948 187.7640       Polynomial model
3231      237 189.2217 206.81575 202.8108       Polynomial model
3232      232 182.2633 186.67852 180.4321       Polynomial model
3233      249 188.6107 189.53132 201.7868       Polynomial model
3234      230 182.2186 183.48948 176.4415       Polynomial model
3235       39 176.1208 144.34122 148.4115       Polynomial model
3236      246 192.5292 218.03194 211.7510       Polynomial model
3237      162 192.9329 185.56772 183.9557       Polynomial model
3238       41 190.5194 187.11686 186.3659       Polynomial model
3239      259 190.0653 217.37845 207.3685       Polynomial model
3240       59 184.5294 190.79619 191.2567       Polynomial model
3241      233 184.8722 191.58455 181.9824       Polynomial model
3242      153 178.8657 165.41326 164.4711       Polynomial model
3243      107 181.7521 186.68134 184.4198       Polynomial model
3244      155 192.9751 184.39039 183.5832       Polynomial model
3245      243 189.2012 221.58407 207.8067       Polynomial model
3246       23 177.3089 154.13729 156.0116       Polynomial model
3247      203 172.6400 230.75250 223.7801       Polynomial model
3248      241 188.4408 192.90969 186.2477       Polynomial model
3249      209 179.5713 176.43440 178.0673       Polynomial model
3250       20 172.9430 123.78665 123.1313       Polynomial model
3251      181 182.1824 180.64847 175.9864       Polynomial model
3252      225 184.2413 206.99347 200.9195       Polynomial model
3253      233 188.5073 220.25813 208.7133       Polynomial model
3254      156 186.8734 229.18152 222.9065       Polynomial model
3255      224 188.8219 195.29353 199.1559       Polynomial model
3256      145 176.4166 151.99690 157.4071       Polynomial model
3257      216 183.9625 182.20710 182.2178       Polynomial model
3258      189 189.9090 173.98151 181.6682       Polynomial model
3259      198 185.6212 191.36235 194.8938       Polynomial model
3260      256 192.3318 193.94055 190.4967       Polynomial model
3261       93 168.5706 123.59868 114.9190       Polynomial model
3262      175 194.6770 199.24536 194.7633       Polynomial model
3263      114 194.2574 196.96542 187.9067       Polynomial model
3264      195 174.1794 245.16368 238.5642       Polynomial model
3265      235 187.6224 192.02820 189.1292       Polynomial model
3266      198 174.1599 243.39870 237.0032       Polynomial model
3267      237 187.2383 177.69712 181.5340       Polynomial model
3268      199 194.5292 179.80897 182.4097       Polynomial model
3269      165 176.8653 157.70812 163.5957       Polynomial model
3270      178 172.1850 154.50197 150.7048       Polynomial model
3271      238 187.0221 178.00706 181.2825       Polynomial model
3272      254 190.7931 194.24271 189.1980       Polynomial model
3273      217 178.0453 241.94115 255.1790       Polynomial model
3274      189 184.8068 190.37157 195.7003       Polynomial model
3275      129 182.7647 190.18846 191.8564       Polynomial model
3276      166 193.5272 196.12115 187.4672       Polynomial model
3277      213 179.7565 178.39880 179.9927       Polynomial model
3278      203 164.4895 169.10280 175.3816       Polynomial model
3279      222 178.4884 188.89780 199.2619       Polynomial model
3280      246 192.9242 189.34309 187.6314       Polynomial model
3281      198 172.9249 169.85665 167.7542       Polynomial model
3282       12 162.4699 126.75972 132.8920       Polynomial model
3283      232 180.6906 198.63049 204.3647       Polynomial model
3284      158 189.1193 189.78330 185.5766       Polynomial model
3285      244 192.7567 212.69194 206.7412       Polynomial model
3286      132 195.7660 169.23909 174.6264       Polynomial model
3287      246 190.2732 193.35544 187.4084       Polynomial model
3288      254 192.4301 197.92018 193.4613       Polynomial model
3289      151 181.3779 180.12081 174.9855       Polynomial model
3290      226 193.8147 177.13685 179.4286       Polynomial model
3291       35 182.7771 193.63096 196.4895       Polynomial model
3292      140 186.7924 226.93820 212.0308       Polynomial model
3293      173 194.5673 227.07172 218.2769       Polynomial model
3294      225 179.1045 191.31156 200.7384       Polynomial model
3295      110 186.8591 227.38048 217.6266       Polynomial model
3296      105 190.4556 182.15363 183.5570       Polynomial model
3297       63 185.0507 187.11721 185.3639       Polynomial model
3298      214 194.1535 178.87415 181.0721       Polynomial model
3299      177 187.1594 211.15677 205.7436       Polynomial model
3300      259 191.5092 183.69189 189.2208       Polynomial model
3301      173 185.5827 200.38794 155.1678       Polynomial model
3302      219 171.9676 195.26880 188.9742       Polynomial model
3303      153 192.2931 175.29696 182.2552       Polynomial model
3304      251 190.1911 186.32768 189.6041       Polynomial model
3305      173 193.7792 201.36297 190.5668       Polynomial model
3306      205 168.4045 200.63001 203.6823       Polynomial model
3307      226 183.8589 180.55604 177.3017       Polynomial model
3308      255 190.2364 204.48324 198.7224       Polynomial model
3309      240 189.1269 187.15539 186.8793       Polynomial model
3310      229 181.0041 189.21102 189.3966       Polynomial model
3311      241 190.5658 192.39695 187.2916       Polynomial model
3312      173 182.5515 183.54203 181.3171       Polynomial model
3313      141 173.8995 252.08398 245.5080       Polynomial model
3314      238 187.2083 188.69892 192.7248       Polynomial model
3315      180 195.0711 163.31840 169.8382       Polynomial model
3316      237 183.5293 189.68921 181.1332       Polynomial model
3317      129 162.4570 141.29001 147.8569       Polynomial model
3318      124 194.3479 199.79605 189.5782       Polynomial model
3319        7 196.2844 180.57460 182.4331       Polynomial model
3320      147 185.8263 136.22640 171.8642       Polynomial model
3321      236 188.2550 198.81697 203.2821       Polynomial model
3322      233 192.9038 194.54036 192.4548       Polynomial model
3323      222 185.2156 200.67754 191.3136       Polynomial model
3324      109 179.5743 171.23696 166.8786       Polynomial model
3325      132 195.7526 159.82823 167.7347       Polynomial model
3326       52 185.0366 133.49900 161.1513       Polynomial model
3327      245 187.6855 181.17326 189.8385       Polynomial model
3328      250 189.4365 192.50822 187.9457       Polynomial model
3329      258 190.6397 202.63960 196.9292       Polynomial model
3330      151 185.5107 190.15749 188.5163       Polynomial model
3331      242 185.8441 179.40546 181.0384       Polynomial model
3332      213 179.6630 178.15226 180.1232       Polynomial model
3333      214 180.6705 178.41392 175.1967       Polynomial model
3334      245 187.5874 179.50357 188.2337       Polynomial model
3335      241 186.1035 179.11089 181.3494       Polynomial model
3336      206 179.6919 175.67966 176.2768       Polynomial model
3337      226 188.8815 175.61995 184.9960       Polynomial model
3338      236 187.5711 191.50213 190.2794       Polynomial model
3339      207 180.9116 176.59196 171.3479       Polynomial model
3340      238 186.9011 178.33349 180.5574       Polynomial model
3341      145 187.0317 184.21706 190.4062       Polynomial model
3342      210 192.3664 195.86314 187.4347       Polynomial model
3343      180 194.7076 193.37900 192.0420       Polynomial model
3344      148 184.7918 192.50511 194.8670       Polynomial model
3345      218 177.4237 238.46382 249.2693       Polynomial model
3346      225 175.7970 204.53577 211.5117       Polynomial model
3347      186 187.2546 204.88961 203.7152       Polynomial model
3348       62 185.3741 134.45184 172.4318       Polynomial model
3349      226 181.2684 184.33826 181.0676       Polynomial model
3350       20 194.2568 183.17210 181.8442       Polynomial model
3351      240 193.2144 173.61119 178.8745       Polynomial model
3352       61 196.1069 163.17551 171.3518       Polynomial model
3353      199 183.5209 183.95926 184.3672       Polynomial model
3354      211 189.4976 174.13220 183.3987       Polynomial model
3355       39 186.2904 184.35711 190.7201       Polynomial model
3356      104 185.1576 188.26371 186.5278       Polynomial model
3357      212 173.6034 230.47499 224.3939       Polynomial model
3358      247 188.1086 164.57306 191.2475       Polynomial model
3359       71 172.7801 126.28184 125.0693       Polynomial model
3360      261 189.6308 201.56931 207.2398       Polynomial model
3361      226 193.8696 171.12734 175.5301       Polynomial model
3362      237 185.3479 180.50154 183.0000       Polynomial model
3363      225 177.4684 224.23315 236.5542       Polynomial model
3364      238 184.0347 187.77059 178.5978       Polynomial model
3365      107 191.6416 171.21166 180.7297       Polynomial model
3366      249 192.7769 184.59893 184.4350       Polynomial model
3367      204 191.8873 186.46344 185.3415       Polynomial model
3368       31 195.4339 207.04302 196.3836       Polynomial model
3369      210 186.2312 200.73885 190.8714       Polynomial model
3370      165 162.4688 151.76438 158.3090       Polynomial model
3371      145 186.2186 162.41006 187.7331       Polynomial model
3372      190 186.6841 210.69284 201.3507       Polynomial model
3373       18 170.4174 116.27216 108.1078       Polynomial model
3374      146 195.5403 164.03878 171.0426       Polynomial model
3375      202 175.3166 172.27717 178.8850       Polynomial model
3376      251 190.4333 196.16866 187.3673       Polynomial model
3377      129 186.1996 178.54855 193.5926       Polynomial model
3378      133 186.3343 187.58902 196.9577       Polynomial model
3379      217 193.7855 207.97032 203.9618       Polynomial model
3380      250 189.4436 194.44344 186.8961       Polynomial model
3381      220 188.5604 184.75329 190.6882       Polynomial model
3382      163 181.6092 180.12762 175.0124       Polynomial model
3383       51 186.5433 233.73349 220.6080       Polynomial model
3384       90 179.2041 169.19528 165.5870       Polynomial model
3385      208 185.8641 190.95309 194.6244       Polynomial model
3386      263 189.7593 194.22827 206.2680       Polynomial model
3387      242 189.1532 188.47001 186.4001       Polynomial model
3388      208 189.8894 173.87327 183.8958       Polynomial model
3389      115 195.8223 167.61097 174.6204       Polynomial model
3390      226 180.7199 186.63028 187.0758       Polynomial model
3391      167 180.7376 175.11836 169.2063       Polynomial model
3392       50 186.4761 239.48005 221.2534       Polynomial model
3393      258 190.9119 185.50187 190.3506       Polynomial model
3394      203 185.9926 209.22880 200.2273       Polynomial model
3395      166 194.7779 200.88752 195.3977       Polynomial model
3396      213 185.9056 201.38532 191.6009       Polynomial model
3397      233 182.8312 184.77125 176.6852       Polynomial model
3398      228 188.3143 188.35885 184.3292       Polynomial model
3399      228 183.3621 180.51907 173.5130       Polynomial model
3400      179 173.5237 245.23079 238.0988       Polynomial model
3401      197 187.2660 186.01443 197.8403       Polynomial model
3402      247 192.8555 175.63959 181.2725       Polynomial model
3403      234 182.3369 198.83195 196.8583       Polynomial model
3404      161 181.4580 179.54525 174.1812       Polynomial model
3405      197 194.2986 208.86936 205.2052       Polynomial model
3406      211 194.1908 179.45416 183.9364       Polynomial model
3407      182 186.9260 179.78831 195.2241       Polynomial model
3408      257 192.1719 179.48842 184.4003       Polynomial model
3409      236 193.2063 201.21847 197.4926       Polynomial model
3410      247 192.8932 186.10220 185.3612       Polynomial model
3411      177 181.8577 179.80675 174.5217       Polynomial model
3412      239 193.0368 207.04796 202.1388       Polynomial model
3413      189 194.1083 202.75004 195.1380       Polynomial model
3414       82 185.7708 181.66771 180.3983       Polynomial model
3415      159 181.4082 179.50469 174.1330       Polynomial model
3416      190 177.7349 166.82669 172.9215       Polynomial model
3417      160 183.0697 188.05840 189.6468       Polynomial model
3418      139 186.3843 181.96028 181.1639       Polynomial model
3419      242 186.3930 180.53110 187.1813       Polynomial model
3420      217 171.8906 193.23507 186.9265       Polynomial model
3421      246 187.7417 181.07146 189.7694       Polynomial model
3422      194 192.8570 195.62403 187.2928       Polynomial model
3423      243 192.8850 204.22432 199.4388       Polynomial model
3424      172 185.7552 191.24937 190.1853       Polynomial model
3425      226 188.0927 176.51136 181.8602       Polynomial model
3426      223 184.9064 183.74139 188.2250       Polynomial model
3427      115 187.5960 232.96471 226.4828       Polynomial model
3428      185 176.5857 162.87095 170.3695       Polynomial model
3429      180 187.1693 209.68815 200.1574       Polynomial model
3430      154 180.1887 172.96393 167.8034       Polynomial model
3431      208 167.1292 177.04081 178.0455       Polynomial model
3432      260 190.4304 214.52864 203.6270       Polynomial model
3433      126 183.1724 191.83740 195.0699       Polynomial model
3434      219 172.9830 217.35184 211.2758       Polynomial model
3435      186 194.2710 201.98219 195.2895       Polynomial model
3436      163 174.8158 150.88799 155.7399       Polynomial model
3437      137 186.5911 210.53200 205.3580       Polynomial model
3438      184 163.3509 159.58510 166.1057       Polynomial model
3439      200 184.3032 186.89003 191.2769       Polynomial model
3440      182 181.3884 177.25353 170.9244       Polynomial model
3441      196 188.6694 181.01137 180.7991       Polynomial model
3442      209 188.4388 210.24162 206.5398       Polynomial model
3443      171 181.4570 178.44985 172.6109       Polynomial model
3444      216 174.6305 187.74059 191.0897       Polynomial model
3445       24 175.9683 142.94484 147.0573       Polynomial model
3446      249 189.7464 191.56114 187.9666       Polynomial model
3447      224 193.4668 191.37861 191.4483       Polynomial model
3448      242 186.9529 178.08724 183.1544       Polynomial model
3449      135 193.7797 192.09451 185.6284       Polynomial model
3450      112 189.2105 201.34743 194.3087       Polynomial model
3451      215 167.7792 190.05088 191.5919       Polynomial model
3452      200 171.8769 170.99411 165.6785       Polynomial model
3453      195 188.1611 186.97368 182.3291       Polynomial model
3454      242 187.8055 189.76249 191.2563       Polynomial model
3455       50 183.9639 193.13874 195.8464       Polynomial model
3456      239 186.4774 182.69649 190.3511       Polynomial model
3457      133 187.4156 230.22563 223.4091       Polynomial model
3458      129 195.7482 175.58877 179.4283       Polynomial model
3459       40 196.4366 154.59157 163.0093       Polynomial model
3460      190 180.7013 174.55271 168.9757       Polynomial model
3461      152 189.0884 191.66813 186.7395       Polynomial model
3462      196 193.4261 202.75307 192.0205       Polynomial model
3463       99 186.7098 237.22855 220.2381       Polynomial model
3464      206 186.3322 180.38194 163.6738       Polynomial model
3465      129 169.6094 131.66190 123.1971       Polynomial model
3466      247 188.2093 187.06603 191.0797       Polynomial model
3467      235 183.7596 195.13336 187.1464       Polynomial model
3468      113 169.1684 127.82059 119.1141       Polynomial model
3469      131 192.9937 178.95030 182.0931       Polynomial model
3470       20 181.3074 188.29697 185.7032       Polynomial model
3471      175 175.3978 156.36994 162.5938       Polynomial model
3472       90 195.9677 167.42891 174.7453       Polynomial model
3473      104 193.7083 185.32635 183.1228       Polynomial model
3474      239 186.9080 185.73264 192.7079       Polynomial model
3475       58 194.7763 200.66001 190.2228       Polynomial model
3476      139 188.7695 201.78055 193.9809       Polynomial model
3477      210 194.3300 169.81072 174.3764       Polynomial model
3478      240 186.2554 181.05718 187.6880       Polynomial model
3479      176 194.5736 222.18569 214.9759       Polynomial model
3480      220 189.7887 176.13549 185.9156       Polynomial model
3481       30 177.2600 153.84522 155.6888       Polynomial model
3482      261 191.8213 210.43033 202.9197       Polynomial model
3483      174 181.8045 179.75109 174.4384       Polynomial model
3484      252 190.2513 185.12344 190.1731       Polynomial model
3485      246 188.0550 180.99759 189.6812       Polynomial model
3486      169 186.2428 188.36459 184.5798       Polynomial model
3487      208 179.3618 176.31851 179.0031       Polynomial model
3488      109 186.6640 185.15660 191.6301       Polynomial model
3489      224 180.6518 184.27967 183.9855       Polynomial model
3490      197 193.5988 203.40435 193.4221       Polynomial model
3491      236 188.1342 192.38343 186.0818       Polynomial model
3492      234 181.7182 196.71672 196.7048       Polynomial model
3493      190 188.3698 186.50691 182.4345       Polynomial model
3494      237 184.3876 188.16018 178.8651       Polynomial model
3495      223 183.1788 180.01169 173.9668       Polynomial model
3496      217 188.6323 199.62323 201.6213       Polynomial model
3497       95 175.6430 142.67422 147.2947       Polynomial model
3498      163 173.2101 147.96678 147.8780       Polynomial model
3499      115 174.4360 138.10018 141.5851       Polynomial model
3500      211 184.4950 185.13495 189.2458       Polynomial model
3501       22 196.3510 153.17614 162.2837       Polynomial model
3502      183 173.8068 158.44992 160.1979       Polynomial model
3503       60 168.7341 114.73802 105.1206       Polynomial model
3504      244 187.8984 186.92955 191.6299       Polynomial model
3505      251 192.5780 196.15006 192.3069       Polynomial model
3506      189 163.4567 161.62019 168.1705       Polynomial model
3507      166 176.1934 155.66770 162.1543       Polynomial model
3508      216 188.1764 184.59732 185.4936       Polynomial model
3509      224 192.9163 200.47465 193.0512       Polynomial model
3510      224 180.2648 185.93053 188.3758       Polynomial model
3511      215 167.3021 185.34173 187.4783       Polynomial model
3512      206 168.1409 198.38117 201.7183       Polynomial model
3513      245 189.2651 190.69758 186.1196       Polynomial model
3514       22 182.2083 192.28507 193.2823       Polynomial model
3515      216 174.4880 188.43792 191.1166       Polynomial model
3516      202 184.7461 188.18946 193.7526       Polynomial model
3517      180 187.6476 184.04933 189.8961       Polynomial model
3518      146 187.1332 188.34887 195.0029       Polynomial model
3519      104 181.3843 184.50755 180.8731       Polynomial model
3520      218 182.4127 179.38002 171.9261       Polynomial model
3521      117 183.7345 193.34683 197.3751       Polynomial model
3522      214 187.2746 190.45200 185.1421       Polynomial model
3523      119 184.9162 206.30467 149.1035       Polynomial model
3524      248 188.7926 188.13770 189.9243       Polynomial model
3525      195 187.9759 229.12033 213.4463       Polynomial model
3526       76 184.8758 189.11398 188.1927       Polynomial model
3527      137 186.9658 186.03172 192.6195       Polynomial model
3528      225 175.3749 209.51154 214.0022       Polynomial model
3529      269 189.2209 208.31003 187.2153       Polynomial model
3530      204 185.5173 190.53252 195.3441       Polynomial model
3531       30 196.5858 152.25526 162.1682       Polynomial model
3532      212 173.7935 183.51094 183.6987       Polynomial model
3533      263 190.8718 212.63726 202.8160       Polynomial model
3534      228 180.4744 189.91482 193.0669       Polynomial model
3535      173 182.4534 182.98175 180.2191       Polynomial model
3536      239 187.7590 177.27193 185.0472       Polynomial model
3537      185 176.8919 163.32880 170.5653       Polynomial model
3538      205 168.9492 203.78533 204.9342       Polynomial model
3539      250 189.4052 193.55195 187.5009       Polynomial model
3540      233 183.8733 180.62972 174.6155       Polynomial model
3541      136 187.0405 191.98509 198.1825       Polynomial model
3542       90 187.9238 231.86519 224.8631       Polynomial model
3543      180 194.6519 195.85540 193.2959       Polynomial model
3544      234 185.4427 186.73629 178.3307       Polynomial model
3545      152 175.7356 150.64717 156.5018       Polynomial model
3546      105 191.0271 175.45970 181.4743       Polynomial model
3547      224 192.9799 232.80115 224.3844       Polynomial model
3548      191 165.0309 163.29602 167.9903       Polynomial model
3549      246 188.2859 181.95897 190.0261       Polynomial model
3550      186 183.9551 187.65743 191.4573       Polynomial model
3551      228 188.9255 187.08512 193.7462       Polynomial model
3552      194 174.0205 165.73233 167.9964       Polynomial model
3553      191 171.3545 164.35951 158.1896       Polynomial model
3554      219 193.9645 186.73128 187.0355       Polynomial model
3555      176 187.3886 228.97436 212.6569       Polynomial model
3556      162 186.9842 223.82780 216.2680       Polynomial model
3557      154 184.7986 192.53884 195.4074       Polynomial model
3558      165 158.4142 174.52882 157.2618       Polynomial model
3559      247 188.2325 184.92223 190.9272       Polynomial model
3560      197 194.5263 183.78667 185.6436       Polynomial model
3561      213 173.9977 185.71897 186.5549       Polynomial model
3562      164 184.3946 191.84941 196.5490       Polynomial model
3563      236 183.0706 190.86159 183.4922       Polynomial model
3564      238 186.9521 178.10989 181.1714       Polynomial model
3565      253 190.3632 187.76434 189.4269       Polynomial model
3566      215 172.5733 221.39685 214.5194       Polynomial model
3567      242 186.3721 180.07675 186.2469       Polynomial model
3568      243 188.7095 193.14487 185.9472       Polynomial model
3569      202 190.4900 174.17426 184.2534       Polynomial model
3570      106 183.1736 192.80754 196.2582       Polynomial model
3571      212 193.7020 197.24627 193.6800       Polynomial model
3572      163 195.0862 192.44688 193.5451       Polynomial model
3573      235 183.0897 197.61027 192.2104       Polynomial model
3574       20 176.1018 143.42337 147.1794       Polynomial model
3575      194 164.4531 164.67918 170.5451       Polynomial model
3576      226 193.7504 186.35816 186.3839       Polynomial model
3577      220 184.7060 183.94366 187.9581       Polynomial model
3578      198 187.6940 219.43600 208.6510       Polynomial model
3579      226 176.5920 208.86583 218.7945       Polynomial model
3580      248 189.0182 193.27318 187.5837       Polynomial model
3581      224 174.9722 203.21069 206.5515       Polynomial model
3582      215 188.3816 177.33149 180.6775       Polynomial model
3583      200 180.0993 174.32348 171.8735       Polynomial model
3584      183 169.3482 158.32731 151.5216       Polynomial model
3585      258 191.9612 180.01878 185.9477       Polynomial model
3586      154 187.0340 226.89134 219.8795       Polynomial model
3587      266 190.8392 212.78182 212.1493       Polynomial model
3588      196 192.7544 226.12982 220.7241       Polynomial model
3589      250 190.0128 186.00122 189.5461       Polynomial model
3590      212 186.6686 191.71569 189.9323       Polynomial model
3591      112 170.1971 127.22601 119.0446       Polynomial model
3592      203 194.3696 184.75584 186.1498       Polynomial model
3593      126 191.9945 170.93965 181.0516       Polynomial model
3594        3 185.3782 181.22701 180.1412       Polynomial model
3595      234 190.9451 191.81036 187.0146       Polynomial model
3596      197 186.0367 191.77328 192.4125       Polynomial model
3597      258 190.1117 217.45406 205.8861       Polynomial model
3598      223 186.3900 188.54751 180.5537       Polynomial model
3599      265 188.7477 209.95764 182.5213       Polynomial model
3600      264 191.4193 205.69295 198.0920       Polynomial model
3601      129 177.7500 157.92283 159.9432       Polynomial model
3602      226 176.1575 213.68794 221.3999       Polynomial model
3603      238 187.3601 177.42784 182.5516       Polynomial model
3604      174 182.2445 181.86445 178.0849       Polynomial model
3605      219 187.9235 204.63912 204.2947       Polynomial model
3606      135 185.6755 187.27185 184.3918       Polynomial model
3607      167 186.2280 188.25077 184.4831       Polynomial model
3608       79 176.2915 146.32035 150.4709       Polynomial model
3609      167 158.9389 178.97932 160.2964       Polynomial model
3610      181 187.8412 194.88902 200.0368       Polynomial model
3611      166 187.5640 209.09453 208.2886       Polynomial model
3612      190 187.9023 185.73535 192.2656       Polynomial model
3613      229 193.7452 174.46151 177.6054       Polynomial model
3614      219 187.9565 178.58417 180.0617       Polynomial model
3615      106 186.3838 180.46918 183.9890       Polynomial model
3616      233 185.2741 181.93239 186.1534       Polynomial model
3617      230 185.7996 185.18765 192.0867       Polynomial model
3618      179 172.3758 235.23882 229.9352       Polynomial model
3619      197 185.3559 223.41475 219.0526       Polynomial model
3620      156 187.3075 189.54543 196.1061       Polynomial model
3621      229 188.2894 188.89042 184.2713       Polynomial model
3622      229 180.7452 191.30429 193.7163       Polynomial model
3623      214 187.7647 200.61402 202.9715       Polynomial model
3624      169 182.2948 182.75214 179.5953       Polynomial model
3625      254 190.3080 195.11591 187.7546       Polynomial model
3626      230 188.9681 189.38227 195.5408       Polynomial model
3627      232 189.1843 177.81762 187.2763       Polynomial model
3628      221 172.3706 202.94915 196.8481       Polynomial model
3629      179 191.7303 175.99568 183.3791       Polynomial model
3630       69 190.6149 183.44169 184.4239       Polynomial model
3631      114 176.2679 147.68458 152.3148       Polynomial model
3632      246 187.8663 183.01461 190.8331       Polynomial model
3633      262 190.3203 215.76035 208.4226       Polynomial model
3634      208 180.0160 176.18028 175.2421       Polynomial model
3635       30 151.2823  81.59575 122.4381       Polynomial model
3636       20 196.4854 172.96513 176.6475       Polynomial model
3637      114 195.8206 168.18884 175.1088       Polynomial model
3638      226 176.4071 207.05565 216.3802       Polynomial model
3639      218 178.2907 240.04750 254.3974       Polynomial model
3640      188 192.3549 186.27918 184.7623       Polynomial model
3641      148 192.9619 182.44599 183.0714       Polynomial model
3642      212 168.7795 183.19790 179.8754       Polynomial model
3643      146 184.0897 192.60623 196.9684       Polynomial model
3644      191 179.5222 171.22348 170.2944       Polynomial model
3645      110 185.4695 132.83103 168.9004       Polynomial model
3646      194 164.6333 164.87931 170.4909       Polynomial model
3647      228 188.4229 187.64942 184.6776       Polynomial model
3648      162 165.1847 148.66492 151.3338       Polynomial model
3649       60 181.1449 186.91656 183.6356       Polynomial model
3650      207 170.2738 177.68841 170.9943       Polynomial model
3651      236 187.5523 191.59985 190.1504       Polynomial model
3652      193 194.4900 199.40959 198.1208       Polynomial model
3653      255 192.3410 198.74706 193.9745       Polynomial model
3654      139 186.6461 180.96226 183.3349       Polynomial model
3655      245 188.7423 193.42261 186.8464       Polynomial model
3656      188 189.6986 175.15128 181.2932       Polynomial model
3657       44 185.7906 182.27523 194.4036       Polynomial model
3658      216 186.4391 193.27101 184.0826       Polynomial model
3659      116 169.7956 128.28277 119.7377       Polynomial model
3660      147 187.2795 225.74966 218.2266       Polynomial model
3661       90 183.8899 193.54315 197.0146       Polynomial model
3662      233 185.6054 187.49708 178.9850       Polynomial model
3663      212 172.3422 184.67342 179.7397       Polynomial model
3664      176 175.5447 157.05014 163.5240       Polynomial model
3665      222 184.0854 181.48376 180.8764       Polynomial model
3666      214 186.6438 160.93121 169.5800       Polynomial model
3667       35 191.9434 171.26891 180.4368       Polynomial model
3668      239 193.2495 182.38045 182.9045       Polynomial model
3669      173 176.7537 159.29550 165.8314       Polynomial model
3670      230 186.7049 182.29125 178.3687       Polynomial model
3671      185 165.3610 160.13738 163.7032       Polynomial model
3672      236 184.9624 187.38661 178.3832       Polynomial model
3673      255 189.5906 218.35768 207.8133       Polynomial model
3674      164 162.3551 151.74397 158.2615       Polynomial model
3675       18 154.0670 141.24934 133.0513       Polynomial model
3676      244 186.9656 181.03677 189.1653       Polynomial model
3677      113 192.7217 173.92556 181.1483       Polynomial model
3678      207 166.7138 175.41110 177.4611       Polynomial model
3679      238 185.8307 182.14644 177.1186       Polynomial model
3680      226 188.8935 192.08407 197.3099       Polynomial model
3681       83 176.5595 148.31175 152.1414       Polynomial model
3682      245 187.5880 182.73728 190.8657       Polynomial model
3683      137 161.9611 144.85789 151.4337       Polynomial model
3684      263 188.2933 214.46712 177.8383       Polynomial model
3685      263 191.4401 204.45369 197.2302       Polynomial model
3686      246 187.9858 182.34713 190.4421       Polynomial model
3687      121 195.9404 157.90061 165.6967       Polynomial model
3688      173 173.1895 243.34250 236.8332       Polynomial model
3689      107 178.0396 159.70935 160.2445       Polynomial model
3690       45 189.3900 207.90857 200.3543       Polynomial model
3691      141 163.9280 142.83777 147.7558       Polynomial model
3692       37 170.6352 117.90444 110.2399       Polynomial model
3693      203 180.0704 175.04429 173.1783       Polynomial model
3694      260 191.3548 182.88115 188.3605       Polynomial model
3695       60 186.5053 190.36173 196.8039       Polynomial model
3696      112 184.2699 192.99848 195.8168       Polynomial model
3697      226 177.2954 219.21026 231.1741       Polynomial model
3698      154 175.9533 151.97579 157.9724       Polynomial model
3699      250 191.6593 194.65982 191.0080       Polynomial model
3700       21 183.3676 194.21664 197.7853       Polynomial model
3701      238 185.2661 179.98269 180.3171       Polynomial model
3702      215 189.8597 174.78791 184.9063       Polynomial model
3703      239 193.2933 174.48824 178.3797       Polynomial model
3704      234 190.5777 188.35607 187.2008       Polynomial model
3705      256 189.4496 212.25703 207.8101       Polynomial model
3706      235 185.6383 182.09016 187.6407       Polynomial model
3707      214 188.8731 175.31335 182.0681       Polynomial model
3708      237 189.7933 183.19511 188.1336       Polynomial model
3709      213 175.4191 183.65655 190.4041       Polynomial model
3710      222 180.6696 182.49151 181.2644       Polynomial model
3711      237 184.8148 180.22500 177.5952       Polynomial model
3712      250 189.9704 184.91845 190.4228       Polynomial model
3713      263 191.2257 202.82984 196.1742       Polynomial model
3714      237 184.0398 183.12418 174.9428       Polynomial model
3715      264 189.6339 188.18703 203.9459       Polynomial model
3716      216 182.4848 179.27539 172.0913       Polynomial model
3717      248 192.7044 201.83796 197.0702       Polynomial model
3718      128 169.7963 131.39304 122.9946       Polynomial model
3719      122 186.7464 184.85165 191.2638       Polynomial model
3720      183 191.0574 172.94710 183.0800       Polynomial model
3721      239 184.4709 182.24762 175.1470       Polynomial model
3722      213 191.8157 189.84438 186.0519       Polynomial model
3723      130 194.9351 244.47615 228.7728       Polynomial model
3724      162 187.3847 189.02960 195.6430       Polynomial model
3725      182 181.7309 178.75086 172.8626       Polynomial model
3726      212 186.2924 197.63431 187.8451       Polynomial model
3727      237 190.2979 187.09122 187.5515       Polynomial model
3728      249 189.5590 194.04645 186.3992       Polynomial model
3729      240 187.8817 177.40357 185.7614       Polynomial model
3730      249 189.4500 220.34257 206.9980       Polynomial model
3731      165 162.9481 151.47297 157.9647       Polynomial model
3732      215 188.3775 177.27348 180.7069       Polynomial model
3733      227 188.4542 223.48891 209.6505       Polynomial model
3734       60 188.4012 238.08051 231.8182       Polynomial model
3735      218 184.9944 206.39619 198.3516       Polynomial model
3736      224 175.1193 207.28559 210.8287       Polynomial model
3737       44 180.5720 181.59932 176.6522       Polynomial model
3738      196 180.8088 175.19693 169.6090       Polynomial model
3739      206 181.7002 177.69942 170.7095       Polynomial model
3740       76 195.7641 199.33457 194.8171       Polynomial model
3741      160 187.4196 196.23366 201.2082       Polynomial model
3742      253 192.0821 185.01347 189.2786       Polynomial model
3743      161 182.6916 185.94204 185.4449       Polynomial model
3744      160 177.0310 157.48503 162.8423       Polynomial model
3745      261 191.9409 184.54703 186.1514       Polynomial model
3746      166 189.5494 181.47714 182.0739       Polynomial model
3747      206 173.9985 175.87678 177.4904       Polynomial model
3748       40 190.3324 193.64975 190.3736       Polynomial model
3749       10 181.2562 187.86051 185.0394       Polynomial model
3750      155 195.1165 196.33844 193.4372       Polynomial model
3751      121 194.1393 195.64026 187.2076       Polynomial model
3752      118 186.3020 180.53750 181.7153       Polynomial model
3753      197 194.4988 184.14460 186.7692       Polynomial model
3754      223 191.6935 193.59717 186.8975       Polynomial model
3755      196 163.7852 165.44016 172.0293       Polynomial model
3756      158 185.0222 192.30002 194.2796       Polynomial model
3757      239 189.4822 182.55585 188.5647       Polynomial model
3758       73 196.0889 176.87668 179.9857       Polynomial model
3759      203 183.4968 182.97281 182.4675       Polynomial model
3760      216 184.1113 182.69348 183.7192       Polynomial model
3761      190 156.7963 147.64222 149.9687       Polynomial model
3762      234 182.8189 185.17282 177.1635       Polynomial model
3763      238 185.6108 180.35794 183.7962       Polynomial model
3764      175 183.1917 186.15698 187.1063       Polynomial model
3765      160 186.4901 172.29723 191.8681       Polynomial model
3766      152 170.8294 141.25609 134.3397       Polynomial model
3767      123 178.5844 163.57767 162.5368       Polynomial model
3768       49 196.1897 176.33524 179.4743       Polynomial model
3769      238 189.2994 186.22492 192.8758       Polynomial model
3770      186 172.5356 159.52234 156.6422       Polynomial model
3771      162 187.4120 216.86909 207.9295       Polynomial model
3772       48 186.5803 223.64368 217.0380       Polynomial model
3773      152 182.4054 185.83020 184.5881       Polynomial model
3774      124 186.2978 195.03187 199.5501       Polynomial model
3775       40 196.2706 166.08996 174.1908       Polynomial model
3776      121 182.1687 188.00948 187.2084       Polynomial model
3777      145 193.9554 197.67443 188.2747       Polynomial model
3778      188 174.2527 161.82348 165.0785       Polynomial model
3779      241 185.6556 180.71864 177.2494       Polynomial model
3780      237 186.9952 188.25798 193.1371       Polynomial model
3781      235 185.1131 187.44143 178.5222       Polynomial model
3782      172 188.1273 198.88190 190.6090       Polynomial model
3783      256 191.0506 189.07102 190.1310       Polynomial model
3784      134 181.4679 182.68713 178.5297       Polynomial model
3785       82 196.1171 167.86552 173.2197       Polynomial model
3786      227 180.4483 187.90262 190.3014       Polynomial model
3787      230 185.7342 188.93636 180.1040       Polynomial model
3788      239 188.9939 180.11999 188.5805       Polynomial model
3789      175 175.2425 155.95135 161.8971       Polynomial model
3790      217 187.0798 191.63871 187.8626       Polynomial model
3791      105 184.8297 190.63132 190.5409       Polynomial model
3792      246 192.4752 187.43786 190.0595       Polynomial model
3793      176 194.9970 183.13706 185.6090       Polynomial model
3794      174 171.0789 151.76427 145.2911       Polynomial model
3795      181 192.9529 191.87199 185.8656       Polynomial model
3796       89 190.8631 178.44270 182.3840       Polynomial model
3797      147 173.4349 142.03779 142.8444       Polynomial model
3798      156 177.7247 159.68900 163.0106       Polynomial model
3799      126 186.0997 182.31285 180.7837       Polynomial model
3800      156 195.4273 173.90843 178.5356       Polynomial model
3801      228 188.5610 185.70004 185.9689       Polynomial model
3802      224 188.7846 212.00318 206.0474       Polynomial model
3803       20 184.6343 138.62664 155.3518       Polynomial model
3804      160 188.4775 198.84759 191.0795       Polynomial model
3805      183 178.1551 166.01747 170.0910       Polynomial model
3806      257 189.8991 218.45192 206.8285       Polynomial model
3807      107 193.1234 177.22884 181.4232       Polynomial model
3808      239 188.6074 216.07268 207.7133       Polynomial model
3809      167 188.1026 201.90425 193.1891       Polynomial model
3810      222 192.1619 221.80041 216.0686       Polynomial model
3811       39 190.8617 181.82564 183.9189       Polynomial model
3812      168 191.3327 172.14603 182.3580       Polynomial model
3813      194 162.2941 163.88464 169.8647       Polynomial model
3814      185 187.9391 206.23712 206.1629       Polynomial model
3815      217 173.0634 221.51798 215.2235       Polynomial model
3816       41 185.0735 130.17887 164.0800       Polynomial model
3817      215 174.0607 187.26099 188.2205       Polynomial model
3818       40 181.2858 188.10889 185.4168       Polynomial model
3819       92 195.9882 164.00293 171.8392       Polynomial model
3820      170 163.9260 153.34655 159.0431       Polynomial model
3821      239 186.7061 184.54370 192.1239       Polynomial model
3822      188 187.3419 201.93101 192.4656       Polynomial model
3823      159 193.9876 201.47072 190.6626       Polynomial model
3824      165 184.6598 192.17244 196.4304       Polynomial model
3825      148 191.0087 172.21249 181.2234       Polynomial model
3826       70 178.1257 161.59893 160.8243       Polynomial model
3827      239 189.2829 184.84940 190.4232       Polynomial model
3828      215 187.3515 190.45455 185.0152       Polynomial model
3829      238 193.3092 182.50536 183.0071       Polynomial model
3830      151 181.6390 181.72154 177.3256       Polynomial model
3831       30 174.9887 134.94451 138.7833       Polynomial model
3832      178 186.5883 220.42153 212.6964       Polynomial model
3833      140 187.0654 235.27076 218.2243       Polynomial model
3834      224 185.5777 194.59794 184.8166       Polynomial model
3835       40 196.1691 180.92394 186.1587       Polynomial model
3836       47 195.7608 209.56788 206.7223       Polynomial model
3837      196 179.3645 171.94256 172.4040       Polynomial model
3838      171 190.1099 175.29774 181.2296       Polynomial model
3839      251 190.0716 185.31318 190.0144       Polynomial model
3840      237 189.2808 194.50874 197.9100       Polynomial model
3841      237 188.9392 223.47657 208.9667       Polynomial model
3842      101 196.0545 161.95210 168.7412       Polynomial model
3843      126 186.0414 182.82338 180.8869       Polynomial model
3844      249 189.0187 192.03773 188.4114       Polynomial model
3845      220 191.6157 191.52298 186.5182       Polynomial model
3846      246 192.8688 176.35771 182.5445       Polynomial model
3847      249 189.7816 187.46284 188.4578       Polynomial model
3848      110 185.9570 182.06041 180.6169       Polynomial model
3849      187 181.0303 175.67983 169.4288       Polynomial model
3850      234 188.8437 223.86287 209.3168       Polynomial model
3851      230 185.8903 185.81085 192.7585       Polynomial model
3852      224 177.3238 225.19624 236.9031       Polynomial model
3853      266 190.8789 214.59756 211.2667       Polynomial model
3854      212 192.6190 198.96738 188.8860       Polynomial model
3855       73 194.6489 199.88844 189.6900       Polynomial model
3856       98 157.6929 147.69049 144.5862       Polynomial model
3857      247 189.3176 193.07780 186.0192       Polynomial model
3858      210 186.9263 192.53433 184.0094       Polynomial model
3859      249 190.3274 194.91066 187.3061       Polynomial model
3860      260 190.1794 217.35128 206.4552       Polynomial model
3861      127 190.2936 181.02309 182.8391       Polynomial model
3862      189 173.7668 244.57657 237.3670       Polynomial model
3863      120 186.8195 188.43511 195.0651       Polynomial model
3864      214 190.1702 175.75587 185.4196       Polynomial model
3865      217 168.9517 192.71154 190.3216       Polynomial model
3866      188 190.8220 173.02462 183.2741       Polynomial model
3867      197 188.0389 228.17916 213.1217       Polynomial model
3868      237 185.2451 185.02942 177.1369       Polynomial model
3869      198 189.7784 173.77815 182.1698       Polynomial model
3870       20 194.0380 177.68131 180.2014       Polynomial model
3871      153 180.6162 175.60191 169.8609       Polynomial model
3872      212 168.1532 195.93044 197.8221       Polynomial model
3873      250 191.8476 193.47641 191.2740       Polynomial model
3874      176 195.0472 174.78367 179.2005       Polynomial model
3875      110 168.7395 126.94636 118.4132       Polynomial model
3876      255 188.1477 165.96712 185.5104       Polynomial model
3877      228 182.2465 182.54815 175.2128       Polynomial model
3878      215 174.0800 188.14238 189.1010       Polynomial model
3879      247 190.1323 192.79396 187.5186       Polynomial model
3880      252 190.2314 189.82674 188.7349       Polynomial model
3881      202 183.6989 183.92833 184.8264       Polynomial model
3882      215 190.7876 180.07943 185.9355       Polynomial model
3883      115 176.7888 151.05241 155.0243       Polynomial model
3884      104 162.6991 135.24539 141.4823       Polynomial model
3885       66 186.6580 204.02624 206.7744       Polynomial model
3886      160 194.9083 200.70853 195.3881       Polynomial model
3887      195 179.7964 172.62947 170.9070       Polynomial model
3888      216 194.1105 177.03401 179.5889       Polynomial model
3889      142 192.1866 173.08149 181.7438       Polynomial model
3890      137 177.2220 155.16714 158.9160       Polynomial model
3891      144 195.6466 161.61953 168.7411       Polynomial model
3892      237 188.9673 178.51641 187.8071       Polynomial model
3893      174 191.3225 172.70285 182.7094       Polynomial model
3894      198 178.3949 171.48105 176.7153       Polynomial model
3895      140 190.5406 176.27433 181.4709       Polynomial model
3896      187 171.5078 226.66053 222.8076       Polynomial model
3897      247 189.6527 187.46820 188.1550       Polynomial model
3898      190 183.5751 185.64653 187.3827       Polynomial model
3899      235 182.2808 192.48898 188.2465       Polynomial model
3900      184 187.0646 190.98112 199.0689       Polynomial model
3901      239 187.2222 187.70260 192.7671       Polynomial model
3902      231 193.5830 185.88321 185.7647       Polynomial model
3903      204 182.6683 180.01781 174.8323       Polynomial model
3904      229 183.8090 203.31149 197.4106       Polynomial model
3905      235 193.4770 181.69941 182.5187       Polynomial model
3906      189 190.9822 173.76702 183.6148       Polynomial model
3907      216 177.9935 182.41179 192.1800       Polynomial model
3908      161 178.5964 164.50629 165.1736       Polynomial model
3909      226 176.6382 202.56741 212.9140       Polynomial model
3910      190 186.6512 189.68308 185.3655       Polynomial model
3911      208 179.0652 175.85967 179.8301       Polynomial model
3912      193 184.0895 187.10312 191.0315       Polynomial model
3913      174 181.1174 176.60048 170.4233       Polynomial model
3914      254 191.9103 187.07054 190.0949       Polynomial model
3915      245 189.4964 186.53730 188.2595       Polynomial model
3916      201 190.0678 173.36384 183.3083       Polynomial model
3917      244 190.0631 190.08310 187.8173       Polynomial model
3918      216 188.0551 185.65195 184.3180       Polynomial model
3919      217 188.4196 176.68005 181.0862       Polynomial model
3920      163 182.5492 185.11600 183.8236       Polynomial model
3921      191 176.9266 166.10861 173.8971       Polynomial model
3922      118 189.0015 204.23890 196.4691       Polynomial model
3923      182 194.2459 203.66438 195.3249       Polynomial model
3924      217 173.6437 191.31373 190.1527       Polynomial model
3925      156 184.6925 192.56265 196.0329       Polynomial model
3926      233 184.6602 193.32941 183.8215       Polynomial model
3927      185 187.0326 185.80653 182.3407       Polynomial model
3928      112 172.7878 131.37496 130.1327       Polynomial model
3929      149 186.7342 181.34425 182.8490       Polynomial model
3930      168 178.3286 163.96427 166.1029       Polynomial model
3931       34 191.8238 171.97040 180.6186       Polynomial model
3932       70 196.1312 157.81820 166.6169       Polynomial model
3933      229 180.9967 188.17773 187.9348       Polynomial model
3934      105 172.1758 128.56427 125.3004       Polynomial model
3935      232 181.2724 192.20548 192.3947       Polynomial model
3936       28 160.5347 133.72247 139.8912       Polynomial model
3937       18 195.0136 202.16760 191.3345       Polynomial model
3938       41 179.5743 173.63649 168.9302       Polynomial model
3939      249 189.7106 192.69094 186.8264       Polynomial model
3940      231 180.2808 198.55979 206.0748       Polynomial model
3941      224 175.9532 220.07524 226.0276       Polynomial model
3942      251 190.0591 185.96382 192.3603       Polynomial model
3943      226 180.5591 186.50875 187.7179       Polynomial model
3944       30 164.9108 116.64865 116.1272       Polynomial model
3945       88 191.1454 175.24153 181.4536       Polynomial model
3946      233 188.7466 224.77613 209.7300       Polynomial model
3947      188 170.7561 161.95832 155.0106       Polynomial model
3948      115 188.1501 221.82353 213.3290       Polynomial model
3949      117 160.6933 142.47519 148.0845       Polynomial model
3950      149 176.6795 153.79412 159.0600       Polynomial model
3951      213 186.4745 191.63615 191.8275       Polynomial model
3952      118 188.0217 223.42521 215.1169       Polynomial model
3953      132 171.2636 133.34500 127.3412       Polynomial model
3954      188 194.6848 191.65396 192.2862       Polynomial model
3955       74 189.7109 198.10946 192.5608       Polynomial model
3956      133 177.2886 155.21549 158.6358       Polynomial model
3957      197 190.9475 175.38010 184.3713       Polynomial model
3958      177 188.7593 187.76260 183.7575       Polynomial model
3959      246 192.8404 195.01613 191.7967       Polynomial model
3960      224 191.2176 189.35180 186.5353       Polynomial model
3961      227 180.2368 189.48564 193.6177       Polynomial model
3962      237 187.3775 177.40205 182.6127       Polynomial model
3963      199 172.2379 170.08473 165.7537       Polynomial model
3964      189 174.0353 162.95528 165.3864       Polynomial model
3965      170 173.2167 150.76494 150.6192       Polynomial model
3966      231 186.5249 182.76040 178.1761       Polynomial model
3967      167 195.3372 160.00265 167.4251       Polynomial model
3968      171 195.2203 173.37070 178.3519       Polynomial model
3969      162 182.2685 183.70028 181.0520       Polynomial model
3970       70 192.0691 170.36034 180.3889       Polynomial model
3971      181 161.8266 158.54893 164.2728       Polynomial model
3972      255 190.6015 184.42426 190.8370       Polynomial model
3973      119 179.8900 173.15227 168.2115       Polynomial model
3974      222 179.7337 184.72549 189.2662       Polynomial model
3975      226 176.3779 215.94403 224.4284       Polynomial model
3976      196 178.9917 171.64442 174.0541       Polynomial model
3977      233 183.4467 181.52641 173.6772       Polynomial model
3978       30 184.2875 191.30185 192.3694       Polynomial model
3979      227 189.8648 178.77407 187.0431       Polynomial model
3980      137 187.7437 221.85022 213.4118       Polynomial model
3981      238 193.3233 176.41570 179.1708       Polynomial model
3982      244 189.3487 187.34580 187.4197       Polynomial model
3983       51 177.3463 154.35878 156.3400       Polynomial model
3984      244 188.6389 205.66942 205.5367       Polynomial model
3985       10 182.6401 194.36625 197.1535       Polynomial model
3986      231 187.9342 191.85778 185.6972       Polynomial model
3987      229 187.5485 178.05805 180.2996       Polynomial model
3988      204 192.3909 193.65289 186.6719       Polynomial model
3989      187 164.2396 160.90108 166.7274       Polynomial model
3990      195 176.2215 168.31104 176.5412       Polynomial model
3991      258 191.6286 184.46593 189.3918       Polynomial model
3992      201 179.3253 173.27767 174.6776       Polynomial model
3993      156 191.8215 172.72801 182.1396       Polynomial model
3994      106 188.3885 219.43799 210.7901       Polynomial model
3995      227 182.0093 183.21027 176.6667       Polynomial model
3996      187 188.6212 185.46761 182.3399       Polynomial model
3997      264 191.1725 214.17436 214.1228       Polynomial model
3998      241 188.4242 192.80326 186.0654       Polynomial model
3999      167 185.5825 191.46320 191.0387       Polynomial model
4000      215 178.2738 181.29352 190.1765       Polynomial model
4001      239 188.0793 177.56805 186.4995       Polynomial model
4002      252 191.3578 195.30041 190.3478       Polynomial model
4003      216 168.2321 191.55249 191.6380       Polynomial model
4004      112 186.3945 180.40002 183.2061       Polynomial model
4005      155 194.2321 203.56239 192.4412       Polynomial model
4006       81 195.8734 182.27964 186.7703       Polynomial model
4007       90 183.2404 193.41520 197.0581       Polynomial model
4008      214 182.5030 179.22666 172.2945       Polynomial model
4009      109 185.7886 183.40683 181.1509       Polynomial model
4010      237 184.1133 189.18362 179.9423       Polynomial model
4011      196 191.1430 176.04763 184.3235       Polynomial model
4012      220 193.8912 180.59161 185.0390       Polynomial model
4013       94 174.2906 134.69357 137.7471       Polynomial model
4014      166 185.5254 191.54575 191.3505       Polynomial model
4015      244 187.1229 181.40078 189.7425       Polynomial model
4016      199 187.5510 208.38827 205.0417       Polynomial model
4017      105 180.9442 181.59286 176.7760       Polynomial model
4018      239 185.0443 180.07451 178.3611       Polynomial model
4019      222 177.2149 193.10577 204.5786       Polynomial model
4020      208 185.7393 190.75895 194.9616       Polynomial model
4021      246 189.0312 218.66755 208.1934       Polynomial model
4022      138 189.4031 191.37373 187.1031       Polynomial model
4023      152 190.0180 179.41622 181.9230       Polynomial model
4024      235 182.6593 199.55773 196.4974       Polynomial model
4025      240 187.4612 189.05332 192.1697       Polynomial model
4026      242 188.9926 190.52757 185.5263       Polynomial model
4027      143 176.5526 152.34208 157.5298       Polynomial model
4028      256 190.8260 184.60136 190.0279       Polynomial model
4029      247 188.1654 185.64763 191.1217       Polynomial model
4030      256 192.3317 180.77606 183.6430       Polynomial model
4031      176 173.7909 154.41996 156.2287       Polynomial model
4032      254 190.4593 194.71919 188.2419       Polynomial model
4033      242 187.5119 186.33145 192.2066       Polynomial model
4034      183 186.9521 182.97075 196.3131       Polynomial model
4035      217 193.8621 186.82117 188.9500       Polynomial model
4036      213 187.6511 188.24256 183.4430       Polynomial model
4037      248 189.1849 194.12691 186.5903       Polynomial model
4038      255 192.3188 202.40316 196.8282       Polynomial model
4039      119 169.5974 128.67953 120.0494       Polynomial model
4040      105 186.8310 205.09553 207.2623       Polynomial model
4041      115 182.8036 191.26871 193.4422       Polynomial model
4042      130 177.9333 159.12654 160.5731       Polynomial model
4043      243 188.1142 190.74359 190.1982       Polynomial model
4044      198 186.9235 201.59947 191.8908       Polynomial model
4045      168 195.2468 165.37009 171.7059       Polynomial model
4046      207 194.2321 182.05064 185.6655       Polynomial model
4047      220 188.6868 203.63246 203.2449       Polynomial model
4048      219 188.7331 175.36503 182.5163       Polynomial model
4049      121 180.7639 179.36512 174.0696       Polynomial model
4050      171 192.8042 185.91842 184.1867       Polynomial model
4051      242 186.6576 180.70643 188.1600       Polynomial model
4052      226 177.5844 222.00905 234.8361       Polynomial model
4053      164 185.5410 191.36957 190.8585       Polynomial model
4054      246 188.7070 193.16328 187.4585       Polynomial model
4055      227 189.3604 176.64206 186.4312       Polynomial model
4056      216 179.6945 180.16627 182.9092       Polynomial model
4057      261 190.0819 215.57137 208.3453       Polynomial model
4058      219 187.5282 190.53230 184.8337       Polynomial model
4059       53 169.0131 117.97609 108.5557       Polynomial model
4060      259 188.0084 215.15599 175.2048       Polynomial model
4061      195 173.8894 166.77533 168.4900       Polynomial model
4062      220 187.5336 171.65148 193.7567       Polynomial model
4063      220 175.5488 193.81567 200.5605       Polynomial model
4064      155 171.9481 143.06316 138.8574       Polynomial model
4065      149 159.3503 152.36874 153.4055       Polynomial model
4066      177 186.2941 189.54882 185.9142       Polynomial model
4067       20 170.5595 114.44069 106.5264       Polynomial model
4068      119 195.9508 156.96175 164.9887       Polynomial model
4069      162 195.2845 178.91271 182.3646       Polynomial model
4070      130 170.6668 132.42507 125.1134       Polynomial model
4071      226 193.2783 193.44240 192.2674       Polynomial model
4072      172 175.9422 156.95143 163.6963       Polynomial model
4073      200 194.6413 164.58019 171.1017       Polynomial model
4074      125 194.0270 194.60599 186.7042       Polynomial model
4075       85 169.9017 121.85557 113.1042       Polynomial model
4076      216 185.8563 189.56594 194.8359       Polynomial model
4077      262 190.4984 216.29284 206.2896       Polynomial model
4078      253 190.3072 193.30986 188.1771       Polynomial model
4079      199 176.9070 170.26969 178.8665       Polynomial model
4080       36 179.3857 172.21102 167.8463       Polynomial model
4081      263 190.7237 214.73657 204.6423       Polynomial model
4082      215 184.6425 184.94421 189.3665       Polynomial model
4083      233 187.8294 192.25845 186.9286       Polynomial model
4084      207 194.1938 192.52553 192.1423       Polynomial model
4085      116 169.4893 128.09709 119.4016       Polynomial model
4086      215 184.5426 214.04049 209.2286       Polynomial model
4087       59 191.4417 173.91714 181.1448       Polynomial model
4088      200 194.4327 186.19893 187.4372       Polynomial model
4089      258 188.2526 170.42203 184.9848       Polynomial model
4090      183 174.6574 158.71759 163.3380       Polynomial model
4091      244 190.6684 194.89063 187.3307       Polynomial model
4092      161 195.0763 193.95693 194.7058       Polynomial model
4093      216 189.3418 174.48466 183.8515       Polynomial model
4094      231 183.8123 200.24006 193.4182       Polynomial model
4095      245 190.5430 194.09935 187.3139       Polynomial model
4096      178 169.1340 155.18079 148.4285       Polynomial model
4097      244 188.9371 182.82955 189.4781       Polynomial model
4098      257 190.2554 211.86174 201.8943       Polynomial model
4099       70 196.1783 154.38195 163.3286       Polynomial model
4100       20 167.1013 112.91947 105.5174       Polynomial model
4101      207 174.2782 177.24203 179.8954       Polynomial model
4102      237 185.8929 181.41058 187.2259       Polynomial model
4103      151 187.0159 233.08795 215.0947       Polynomial model
4104       62 185.7552 168.62712 189.2792       Polynomial model
4105      219 185.8340 188.83407 194.6622       Polynomial model
4106      148 195.1942 197.25406 193.8810       Polynomial model
4107       25 185.4929 181.03114 180.0793       Polynomial model
4108      197 170.8124 168.81743 161.9285       Polynomial model
4109       87 170.2179 122.54445 114.2319       Polynomial model
4110      219 172.1684 210.80604 204.0741       Polynomial model
4111      208 173.1201 230.11423 223.2229       Polynomial model
4112      133 161.9197 143.69399 150.2904       Polynomial model
4113      230 186.7075 189.70096 193.4397       Polynomial model
4114      229 189.3699 177.31351 186.8724       Polynomial model
4115      218 193.8876 184.09391 187.3127       Polynomial model
4116      243 187.1350 183.05662 191.1369       Polynomial model
4117      208 172.5480 227.41501 220.4314       Polynomial model
4118      200 180.6283 175.23325 170.5153       Polynomial model
4119       95 179.4580 171.01599 166.7927       Polynomial model
4120      241 186.5168 178.63772 180.9034       Polynomial model
4121      249 192.7544 192.04151 189.4437       Polynomial model
4122      157 187.3538 192.79552 198.7690       Polynomial model
4123      206 173.5487 234.47481 227.8295       Polynomial model
4124      178 181.9754 180.14819 175.0809       Polynomial model
4125      220 172.1873 197.76792 191.6742       Polynomial model
4126       20 185.1022 132.27866 170.8609       Polynomial model
4127      254 190.5666 187.20868 189.7670       Polynomial model
4128      244 192.1579 195.97092 191.8512       Polynomial model
4129      267 189.9021 209.52210 193.6641       Polynomial model
4130      163 184.3468 191.80850 196.5280       Polynomial model
4131      153 182.5578 186.41193 185.8282       Polynomial model
4132       27 185.3729 182.01662 180.5394       Polynomial model
4133      195 173.5297 166.61761 166.9572       Polynomial model
4134      232 181.4079 194.14040 194.5141       Polynomial model
4135       70 185.4220 135.71309 173.4420       Polynomial model
4136      244 187.9366 187.52934 191.5394       Polynomial model
4137       59 196.0534 169.56712 176.7201       Polynomial model
4138      193 191.8247 181.18914 184.4315       Polynomial model
4139      181 182.1748 180.74450 176.1480       Polynomial model
4140      221 177.7480 235.80050 248.3642       Polynomial model
4141       28 186.4834 220.30380 215.7987       Polynomial model
4142      212 170.4155 184.89752 178.3676       Polynomial model
4143      235 192.5277 198.04367 192.4899       Polynomial model
4144      174 192.9251 189.00852 184.9605       Polynomial model
4145      213 187.2212 157.28305 187.2417       Polynomial model
4146      175 175.8661 157.57771 164.3765       Polynomial model
4147      241 186.0274 179.25344 179.8775       Polynomial model
4148      126 190.7888 175.83579 181.4799       Polynomial model
4149      218 188.7494 175.33541 182.5333       Polynomial model
4150      147 161.9890 147.43152 153.9371       Polynomial model
4151      231 185.4113 183.32906 189.0000       Polynomial model
4152      175 165.1360 154.55658 158.0188       Polynomial model
4153      221 184.9840 203.19493 194.5210       Polynomial model
4154      165 164.1964 150.86076 155.9427       Polynomial model
4155      154 187.2426 233.18504 217.3722       Polynomial model
4156      245 188.6541 193.08255 187.5298       Polynomial model
4157      228 182.5469 182.02256 174.0913       Polynomial model
4158       22 193.8770 181.70420 181.7298       Polynomial model
4159      224 176.6972 197.44212 208.0224       Polynomial model
4160      116 190.4662 180.45325 182.8027       Polynomial model
4161      209 184.7736 218.32749 214.1501       Polynomial model
4162      239 186.4386 183.13263 190.7641       Polynomial model
4163      261 190.1760 216.36931 207.9882       Polynomial model
4164      101 195.9209 165.64735 173.1295       Polynomial model
4165      222 175.6436 197.15870 204.0668       Polynomial model
4166      228 180.6064 189.61884 191.9834       Polynomial model
4167      153 173.2929 143.62253 143.9214       Polynomial model
4168      219 171.3386 195.50132 188.7614       Polynomial model
4169      262 188.2617 216.55389 177.3373       Polynomial model
4170      253 191.4179 193.45588 190.6184       Polynomial model
4171      149 170.6729 139.90022 132.7074       Polynomial model
4172      213 186.9441 189.57010 181.9417       Polynomial model
4173      183 176.9396 162.98614 170.0642       Polynomial model
4174      224 177.1061 196.83155 208.3443       Polynomial model
4175      201 188.2904 205.15383 204.8842       Polynomial model
4176      246 190.5262 194.72656 187.3242       Polynomial model
4177      135 191.8134 171.02786 181.2433       Polynomial model
4178      226 177.1619 201.87121 213.6648       Polynomial model
4179      226 187.6631 191.43344 185.6615       Polynomial model
4180      159 195.4130 169.84153 175.4402       Polynomial model
4181      106 192.0327 170.50655 180.6899       Polynomial model
4182      192 190.1749 173.02033 182.5438       Polynomial model
4183      140 178.4888 162.93490 162.8809       Polynomial model
4184      208 188.1460 181.47184 180.2197       Polynomial model
4185      226 184.3985 203.57052 196.1367       Polynomial model
4186      179 194.8915 184.51497 186.8974       Polynomial model
4187      230 181.0003 190.42500 191.1724       Polynomial model
4188      236 187.8267 176.81728 183.8615       Polynomial model
4189      202 165.3035 169.44075 174.3431       Polynomial model
4190      214 179.6739 178.86997 181.1219       Polynomial model
4191      181 194.2907 235.31768 223.8142       Polynomial model
4192      201 194.5576 173.12272 177.0653       Polynomial model
4193      209 189.3696 174.35009 182.4785       Polynomial model
4194       40 181.2048 187.44957 184.4175       Polynomial model
4195       43 195.1526 205.44360 194.1680       Polynomial model
4196      220 176.8202 189.60614 200.2555       Polynomial model
4197      133 170.2294 133.68461 125.7500       Polynomial model
4198      127 182.4554 189.04385 189.4135       Polynomial model
4199      215 170.7932 188.80757 182.1260       Polynomial model
4200      232 192.4759 200.14526 192.0125       Polynomial model
4201      244 192.9231 176.36027 182.5803       Polynomial model
4202      154 190.8296 172.65918 181.2712       Polynomial model
4203      261 191.3450 189.01058 189.6371       Polynomial model
4204      138 195.5016 180.11843 184.4153       Polynomial model
4205      230 180.3024 196.10153 202.5998       Polynomial model
4206      157 177.1317 157.35099 162.3294       Polynomial model
4207      213 188.3761 184.77247 190.8051       Polynomial model
4208      105 181.1082 182.71479 178.2698       Polynomial model
4209      188 194.3576 199.20747 194.6351       Polynomial model
4210      218 189.3961 174.83299 184.6509       Polynomial model
4211      258 192.1882 198.66035 193.7289       Polynomial model
4212      263 190.4718 216.37306 207.4437       Polynomial model
4213      218 178.4205 185.16425 194.7298       Polynomial model
4214      112 178.2457 161.21784 161.1422       Polynomial model
4215       89 177.9640 159.26202 159.7045       Polynomial model
4216      240 186.6665 183.61634 191.4128       Polynomial model
4217      235 190.7226 190.55142 187.1215       Polynomial model
4218      235 187.8776 176.67012 183.4169       Polynomial model
4219      198 185.7714 217.22072 210.1550       Polynomial model
4220      248 192.8236 182.98988 183.4463       Polynomial model
4221      235 184.4856 180.34502 176.9041       Polynomial model
4222      228 179.6596 194.83564 203.5002       Polynomial model
4223      237 185.5664 180.71005 184.5497       Polynomial model
4224      241 187.7310 178.00043 186.4364       Polynomial model
4225      246 189.7183 194.40177 196.7964       Polynomial model
4226      219 171.9818 209.65285 202.8681       Polynomial model
4227       42 177.2287 153.38613 155.6150       Polynomial model
4228      232 186.4872 187.70386 193.7545       Polynomial model
4229      243 189.9742 188.82184 188.0039       Polynomial model
4230      249 189.0324 189.66899 189.2366       Polynomial model
4231      237 184.8745 180.29013 177.1900       Polynomial model
4232      116 191.4395 171.75220 180.8632       Polynomial model
4233      230 184.9058 181.69547 184.3036       Polynomial model
4234      241 186.3842 180.47684 187.0576       Polynomial model
4235      198 177.7223 170.99244 178.4179       Polynomial model
4236      248 188.4253 187.00116 190.6968       Polynomial model
4237      205 193.0388 201.35324 190.6345       Polynomial model
4238       82 153.9482 139.87305 133.8298       Polynomial model
4239      139 184.8933 192.04282 193.2805       Polynomial model
4240      236 184.2141 191.48216 182.2424       Polynomial model
4241       89 185.5562 138.36508 175.3459       Polynomial model
4242      245 188.9590 192.86623 185.6317       Polynomial model
4243      238 186.5524 179.19851 179.2744       Polynomial model
4244      233 187.4377 177.74323 180.8092       Polynomial model
4245      230 185.8168 185.21477 192.1343       Polynomial model
4246      156 179.8798 171.10961 166.7490       Polynomial model
4247      213 171.5675 185.28540 178.8599       Polynomial model
4248      218 180.3155 180.38482 179.9733       Polynomial model
4249      199 190.3547 173.39341 183.6477       Polynomial model
4250      209 168.1924 197.54616 200.0083       Polynomial model
4251      210 172.3325 224.16416 217.2507       Polynomial model
4252      225 185.5561 185.92344 192.5266       Polynomial model
4253      258 188.9146 177.86525 198.6469       Polynomial model
4254      212 184.0039 183.36831 184.7132       Polynomial model
4255      248 189.0093 212.31860 207.2708       Polynomial model
4256      213 182.2603 178.87212 171.6941       Polynomial model
4257      217 188.2977 226.97653 211.1231       Polynomial model
4258      225 177.3324 223.30045 235.1711       Polynomial model
4259      264 191.3854 211.04358 202.4957       Polynomial model
4260      223 191.7569 194.77208 187.1676       Polynomial model
4261       30 196.4354 179.64634 181.5965       Polynomial model
4262      239 188.3071 177.97484 187.3060       Polynomial model
4263      192 174.7423 165.50719 170.3623       Polynomial model
4264      161 176.1146 154.15015 160.4226       Polynomial model
4265      222 190.8680 184.83539 186.5174       Polynomial model
4266      179 172.3506 235.08205 229.8804       Polynomial model
4267       43 186.5072 199.99583 204.2400       Polynomial model
4268      127 193.0101 178.40195 181.9206       Polynomial model
4269      194 194.5893 186.19410 187.7169       Polynomial model
4270      149 195.5427 171.27520 176.4159       Polynomial model
4271      250 189.1955 216.92936 207.9699       Polynomial model
4272      177 189.4210 180.16661 181.4940       Polynomial model
4273      228 190.2541 181.99199 187.1803       Polynomial model
4274      106 156.1103 150.29382 141.7971       Polynomial model
4275       86 183.7187 193.70960 197.4336       Polynomial model
4276      203 187.3468 187.79765 183.1572       Polynomial model
4277      190 193.0497 196.75054 187.7767       Polynomial model
4278      165 187.1700 182.16800 186.3235       Polynomial model
4279      224 192.5866 201.21718 191.3064       Polynomial model
4280      207 184.4228 185.92278 190.2224       Polynomial model
4281      255 191.6047 190.93806 190.7770       Polynomial model
4282      230 191.3315 193.56800 187.0255       Polynomial model
4283      248 189.5839 214.68452 204.3696       Polynomial model
4284      116 180.3492 176.66077 171.2353       Polynomial model
4285       61 185.5028 182.89399 180.9874       Polynomial model
4286      185 188.2949 190.30830 184.4902       Polynomial model
4287       30 172.2856 119.23985 116.4500       Polynomial model
4288      215 186.3276 194.39648 184.9388       Polynomial model
4289      214 173.9934 186.87714 187.5893       Polynomial model
4290      130 158.3403 180.92877 155.5111       Polynomial model
4291       47 170.3045 118.42890 110.1194       Polynomial model
4292      241 189.4437 187.82853 194.1264       Polynomial model
4293      239 185.3814 179.87486 180.4480       Polynomial model
4294      212 168.8985 200.22957 199.9731       Polynomial model
4295      218 184.6623 209.81055 203.3853       Polynomial model
4296      221 179.6893 183.62819 187.9187       Polynomial model
4297      161 195.3126 168.81431 174.6989       Polynomial model
4298      173 163.5817 154.83871 161.0217       Polynomial model
4299      179 175.6051 158.42841 165.0936       Polynomial model
4300       41 196.0524 176.26516 182.2502       Polynomial model
4301      181 194.9848 169.54828 174.7750       Polynomial model
4302      200 165.1606 168.76769 173.8792       Polynomial model
4303      256 190.2279 208.36789 200.3132       Polynomial model
4304      254 192.5020 182.71287 183.8198       Polynomial model
4305       93 175.8489 143.76172 148.3225       Polynomial model
4306      217 181.8576 178.95400 171.7658       Polynomial model
4307      129 181.7670 185.00664 182.1212       Polynomial model
4308      231 180.8134 193.92341 197.1316       Polynomial model
4309      158 194.9382 217.06334 211.5130       Polynomial model
4310        2 181.0381 186.26323 182.6478       Polynomial model
4311      236 186.5697 186.12622 193.0784       Polynomial model
4312      222 176.2378 227.32225 233.6820       Polynomial model
4313      265 191.3805 214.84655 207.0814       Polynomial model
4314      216 193.9475 182.87124 186.4863       Polynomial model
4315      201 191.1903 177.92533 184.7779       Polynomial model
4316      201 191.9195 185.79212 185.1758       Polynomial model
4317      243 188.8665 217.83684 208.0968       Polynomial model
4318      170 194.3213 204.82234 194.9648       Polynomial model
4319      244 188.3647 191.95591 188.9456       Polynomial model
4320      181 188.8960 184.68883 182.4227       Polynomial model
4321      208 173.6305 233.64148 227.2494       Polynomial model
4322      214 188.5233 213.96431 207.5895       Polynomial model
4323      167 192.9686 187.44538 184.4581       Polynomial model
4324       70 192.2141 170.54407 180.1283       Polynomial model
4325       40 196.0364 203.65305 196.8614       Polynomial model
4326      197 180.4469 174.31559 169.9334       Polynomial model
4327      110 189.8330 190.94532 187.5923       Polynomial model
4328      200 187.3328 187.67501 198.4734       Polynomial model
4329      223 183.5315 180.32916 175.7867       Polynomial model
4330      189 194.2452 201.17251 195.1117       Polynomial model
4331      144 178.3486 162.18895 162.8161       Polynomial model
4332       97 186.7332 236.36774 220.1554       Polynomial model
4333      253 191.3044 210.17052 213.0868       Polynomial model
4334      167 178.3966 164.31557 166.2393       Polynomial model
4335      234 191.5846 197.87035 188.2273       Polynomial model
4336      237 190.8735 192.82753 187.1368       Polynomial model
4337      254 190.4273 191.25822 188.8812       Polynomial model
4338      194 187.4939 184.26793 183.2515       Polynomial model
4339       40 184.4673 189.18000 189.0234       Polynomial model
4340       63 189.0753 212.44651 204.2062       Polynomial model
4341       70 161.6518 132.53828 139.3193       Polynomial model
4342      168 176.9439 158.93102 164.9615       Polynomial model
4343      210 190.9292 178.94597 185.4543       Polynomial model
4344       60 191.7219 174.24360 181.2767       Polynomial model
4345      146 165.0926 143.00929 145.2688       Polynomial model
4346      237 188.0806 176.78839 185.0893       Polynomial model
4347      143 195.5092 182.93303 184.9368       Polynomial model
4348      202 173.5706 237.41963 230.5278       Polynomial model
4349      250 190.3444 195.56145 187.2918       Polynomial model
4350      233 188.2892 190.58799 184.5422       Polynomial model
4351      178 193.1734 230.67545 224.8800       Polynomial model
4352      240 186.5276 178.69208 180.5090       Polynomial model
4353      155 189.2434 188.61397 185.0814       Polynomial model
4354      134 185.8431 185.62041 182.6110       Polynomial model
4355       30 191.4903 177.07998 182.3001       Polynomial model
4356      238 185.0569 185.51170 177.1992       Polynomial model
4357      160 186.4360 185.10642 181.8883       Polynomial model
4358      159 190.1509 176.75747 181.3652       Polynomial model
4359      211 164.7497 174.78941 181.5311       Polynomial model
4360      198 190.0152 173.27545 182.7899       Polynomial model
4361      219 170.4262 197.72406 191.9097       Polynomial model
4362       20 168.0258 111.94190 102.6741       Polynomial model
4363      253 191.1887 195.18711 189.9769       Polynomial model
4364      182 187.6992 200.20545 191.2241       Polynomial model
4365      204 175.9561 173.64236 181.8816       Polynomial model
4366      181 188.4874 189.24357 184.1553       Polynomial model
4367      196 190.4762 173.29095 183.5672       Polynomial model
4368      140 171.5033 136.69311 131.3034       Polynomial model
4369      236 187.5241 191.32512 190.5896       Polynomial model
4370       20 196.5761 157.35974 164.8879       Polynomial model
4371      173 186.3517 145.05185 179.7665       Polynomial model
4372       91 169.7970 122.93693 114.1339       Polynomial model
4373      188 181.9745 179.22780 173.5023       Polynomial model
4374       55 192.2052 170.18031 180.2373       Polynomial model
4375       50 191.1349 182.06235 184.3837       Polynomial model
4376      226 180.6131 185.87787 186.5225       Polynomial model
4377      197 188.1940 199.74409 202.4865       Polynomial model
4378      228 185.6682 191.17282 181.7937       Polynomial model
4379      231 189.0171 176.72884 186.4922       Polynomial model
4380      186 186.3310 190.58275 187.4565       Polynomial model
4381      239 185.7336 180.22288 183.9757       Polynomial model
4382      251 190.0797 189.55151 193.9987       Polynomial model
4383      220 188.4786 225.93566 210.9515       Polynomial model
4384      244 187.3884 178.64698 186.6751       Polynomial model
4385       35 184.5323 189.88963 189.8914       Polynomial model
4386      168 173.0490 149.45854 148.7532       Polynomial model
4387      188 173.3767 161.60763 161.6254       Polynomial model
4388      168 187.1888 182.04679 185.4062       Polynomial model
4389      235 185.5250 181.77967 186.7155       Polynomial model
4390      212 176.1995 181.24498 190.3014       Polynomial model
4391      199 165.8628 168.21770 171.5770       Polynomial model
4392      163 178.7402 165.29044 165.4722       Polynomial model
4393      182 167.5452 158.26846 155.3491       Polynomial model
4394      184 194.4567 199.21804 194.6806       Polynomial model
4395       38 185.0906 129.72059 165.2520       Polynomial model
4396      193 187.9768 227.65444 213.3574       Polynomial model
4397      239 185.4653 181.86424 176.6054       Polynomial model
4398      259 187.8839 218.13207 173.8112       Polynomial model
4399      243 190.3428 191.33799 187.4702       Polynomial model
4400      257 191.7131 183.12318 188.7792       Polynomial model
4401      244 190.2207 191.43989 187.5699       Polynomial model
4402      197 175.8349 169.10515 176.8795       Polynomial model
4403       40 196.5346 152.00429 161.6407       Polynomial model
4404       30 180.7483 185.08628 180.8474       Polynomial model
4405      258 191.4427 184.05224 189.4069       Polynomial model
4406      225 188.4523 185.50544 185.7317       Polynomial model
4407      254 192.4269 178.10143 184.2042       Polynomial model
4408       63 192.4044 170.30255 180.2817       Polynomial model
4409      242 187.9612 178.40274 187.4182       Polynomial model
4410      159 195.4190 161.96059 169.0808       Polynomial model
4411      257 190.4590 200.84055 196.6877       Polynomial model
4412       24 193.4645 175.77173 180.4675       Polynomial model
4413      228 183.2637 180.47159 173.3254       Polynomial model
4414      194 173.7210 166.02396 167.1291       Polynomial model
4415      130 195.5053 194.32023 192.1798       Polynomial model
4416      247 192.9113 176.97985 180.4514       Polynomial model
4417      227 186.8553 191.08023 192.1640       Polynomial model
4418      190 193.6807 246.08779 231.3032       Polynomial model
4419      215 177.9432 243.56901 256.1916       Polynomial model
4420      189 188.0264 206.30678 206.0058       Polynomial model
4421      250 189.4107 192.24041 188.0548       Polynomial model
4422      228 184.5130 181.18328 181.5136       Polynomial model
4423      234 193.4404 190.02566 188.7980       Polynomial model
4424      222 180.1748 183.34557 185.0764       Polynomial model
4425      190 184.2237 188.14418 192.7372       Polynomial model
4426      109 195.8556 168.81633 175.7083       Polynomial model
4427      175 186.7314 186.21473 182.4039       Polynomial model
4428      236 189.2110 179.21621 187.9793       Polynomial model
4429      231 187.2444 178.75420 179.7214       Polynomial model
4430      243 189.1471 222.28332 208.1899       Polynomial model
4431       97 186.8295 215.91028 213.0217       Polynomial model
4432      246 188.4964 182.44641 189.9819       Polynomial model
4433      199 192.1936 188.59313 185.4543       Polynomial model
4434      226 177.0672 219.99903 231.0643       Polynomial model
4435      258 191.4307 185.63817 189.8461       Polynomial model
4436      235 188.7615 224.05450 209.4663       Polynomial model
4437      137 187.1560 210.22051 209.6178       Polynomial model
4438      218 188.1229 219.92519 208.7331       Polynomial model
4439       30 180.5083 182.69237 177.8729       Polynomial model
4440      127 195.7379 167.30747 174.2006       Polynomial model
4441      254 191.1010 194.63374 189.8627       Polynomial model
4442      261 191.8933 199.34584 193.9810       Polynomial model
4443      158 187.1913 183.68180 189.5649       Polynomial model
4444      114 193.9352 191.09977 185.1560       Polynomial model
4445      234 183.6319 181.64163 173.9178       Polynomial model
4446      145 178.3075 162.00395 162.8467       Polynomial model
4447      140 195.5319 173.14065 178.7284       Polynomial model
4448      200 186.5732 204.60596 194.8295       Polynomial model
4449      237 184.5592 188.40474 179.0780       Polynomial model
4450      108 185.0333 189.45773 188.3764       Polynomial model
4451      243 186.7915 179.51009 186.5210       Polynomial model
4452      259 191.5473 181.89433 188.2588       Polynomial model
4453       20 179.3313 172.23245 167.9125       Polynomial model
4454      222 188.4058 184.75066 186.2924       Polynomial model
4455      185 194.6771 195.08693 194.9988       Polynomial model
4456      172 184.4714 191.24856 196.1984       Polynomial model
4457      156 176.5047 154.36308 160.1787       Polynomial model
4458      212 181.5199 178.07253 171.3927       Polynomial model
4459      243 192.9136 205.88191 200.9190       Polynomial model
4460      141 170.0684 136.51816 128.5167       Polynomial model
4461      234 187.1284 178.70193 179.7648       Polynomial model
4462       54 189.9104 196.54053 191.7191       Polynomial model
4463      246 188.1399 184.11755 190.9024       Polynomial model
4464      148 186.0544 145.78893 180.1306       Polynomial model
4465       79 186.7210 225.85554 217.5204       Polynomial model
4466      144 194.2013 201.23145 190.5144       Polynomial model
4467      174 183.0086 185.52169 185.6006       Polynomial model
4468      140 187.3663 227.35534 220.0407       Polynomial model
4469      252 189.5394 220.09246 207.4368       Polynomial model
4470      195 194.6827 171.03771 175.5658       Polynomial model
4471      221 177.3635 192.42504 204.0066       Polynomial model
4472      236 183.6675 184.19100 175.4853       Polynomial model
4473      170 180.3150 172.98612 167.8481       Polynomial model
4474       13 181.0872 186.38655 182.8748       Polynomial model
4475      164 184.7301 192.33026 196.2345       Polynomial model
4476      262 191.7517 197.65629 192.8654       Polynomial model
4477      211 191.2730 182.73968 185.5923       Polynomial model
4478      230 183.8611 180.40430 175.1700       Polynomial model
4479      230 185.3113 182.68801 187.6747       Polynomial model
4480      161 173.2477 146.88629 146.9579       Polynomial model
4481      179 172.7557 238.64303 232.5634       Polynomial model
4482      228 181.2722 186.44857 184.0915       Polynomial model
4483      130 180.6297 177.59726 172.0735       Polynomial model
4484      217 169.9117 192.69958 187.5062       Polynomial model
4485      247 188.5832 193.26906 202.6481       Polynomial model
4486      236 187.4235 177.39829 181.8620       Polynomial model
4487      154 193.6261 194.54982 186.7294       Polynomial model
4488      226 176.3693 210.02139 218.9898       Polynomial model
4489      149 186.5437 192.87312 199.0320       Polynomial model
4490      259 191.9205 181.42260 185.6104       Polynomial model
4491      232 180.6620 198.53876 204.3678       Polynomial model
4492      198 172.3313 169.25890 165.2447       Polynomial model
4493      245 192.9691 186.30775 185.5165       Polynomial model
4494      223 186.8771 191.55853 191.2295       Polynomial model
4495      182 187.8674 213.72803 209.5548       Polynomial model
4496      130 195.3987 198.87124 194.6452       Polynomial model
4497      221 184.5863 207.20966 200.2659       Polynomial model
4498      187 173.6163 160.65709 161.6156       Polynomial model
4499      123 180.3117 176.01812 170.5899       Polynomial model
4500      248 189.5762 190.13137 187.0408       Polynomial model
4501      238 190.1805 186.88282 187.7245       Polynomial model
4502      234 181.8187 193.51782 191.6753       Polynomial model
4503      214 188.5197 190.64931 196.7127       Polynomial model
4504      145 193.4437 189.02287 184.6077       Polynomial model
4505      233 181.8168 190.89253 187.9600       Polynomial model
4506      243 187.7762 189.21073 191.5201       Polynomial model
4507      249 188.9172 192.07996 188.4610       Polynomial model
4508      111 171.6022 128.43706 123.3716       Polynomial model
4509      238 184.6887 185.13683 176.6385       Polynomial model
4510      221 172.2819 205.63108 199.2391       Polynomial model
4511      236 187.0133 188.87168 193.0535       Polynomial model
4512      172 187.6887 208.06663 207.5456       Polynomial model
4513      248 188.8041 188.83456 189.7838       Polynomial model
4514      160 183.1886 188.38129 190.4420       Polynomial model
4515      211 172.2239 183.27237 178.1334       Polynomial model
4516      207 167.3226 176.08573 176.2977       Polynomial model
4517      235 182.6957 190.13526 183.6131       Polynomial model
4518       84 169.1107 121.32383 112.1516       Polynomial model
4519      244 188.6611 193.30222 186.9335       Polynomial model
4520      159 181.4550 179.66974 174.3574       Polynomial model
4521      163 157.7291 164.88861 153.2721       Polynomial model
4522       10 196.3132 184.48476 189.1228       Polynomial model
4523      230 193.3736 185.30099 188.4694       Polynomial model
4524      152 187.1147 184.40370 190.6371       Polynomial model
4525      222 178.1639 190.09241 201.2465       Polynomial model
4526      186 172.8764 160.20897 158.4660       Polynomial model
4527       82 154.9411 146.62866 137.1314       Polynomial model
4528      154 193.0428 185.18499 183.7318       Polynomial model
4529      256 191.7538 185.34885 189.6086       Polynomial model
4530      163 186.8700 225.68809 218.6525       Polynomial model
4531      184 194.8516 178.71192 182.0838       Polynomial model
4532      240 185.8772 179.74838 183.1781       Polynomial model
4533      132 177.0380 153.65332 157.6055       Polynomial model
4534      133 192.3905 173.34089 181.5100       Polynomial model
4535      123 195.3863 202.10068 196.0724       Polynomial model
4536      241 189.0178 188.98121 185.8754       Polynomial model
4537      242 192.9880 177.16681 183.3556       Polynomial model
4538      240 186.2098 179.35201 179.1711       Polynomial model
4539      171 189.0402 186.26009 183.4218       Polynomial model
4540      203 168.6186 202.30646 204.9757       Polynomial model
4541      229 181.1831 187.02440 185.3478       Polynomial model
4542       56 194.1680 236.00775 233.2246       Polynomial model
4543      202 171.8091 225.32916 219.4364       Polynomial model
4544      209 188.4341 199.46489 201.9320       Polynomial model
4545      220 192.8342 201.71625 192.0310       Polynomial model
4546      217 184.3893 183.41101 186.0211       Polynomial model
4547      218 189.0573 174.81374 183.5112       Polynomial model
4548      229 183.0878 181.06988 173.1677       Polynomial model
4549      215 178.2340 181.33823 190.3331       Polynomial model
4550      205 182.7742 180.36181 175.6723       Polynomial model
4551      220 179.8952 182.05955 184.6381       Polynomial model
4552      263 189.1240 176.82297 196.4723       Polynomial model
4553      132 189.8386 186.28256 184.7581       Polynomial model
4554      250 189.7219 193.06424 187.6477       Polynomial model
4555      232 184.4452 195.06171 185.9014       Polynomial model
4556      218 185.9035 189.26544 194.7287       Polynomial model
4557      149 195.0809 200.77337 195.4668       Polynomial model
4558      176 195.0365 180.04891 183.4426       Polynomial model
4559      210 173.4243 180.88156 179.8251       Polynomial model
4560       54 195.8421 196.67056 197.6795       Polynomial model
4561      206 185.4348 190.05504 195.3534       Polynomial model
4562      208 184.4197 185.63085 189.7858       Polynomial model
4563      222 192.2559 198.87563 188.8152       Polynomial model
4564      221 189.4964 175.54019 185.5339       Polynomial model
4565      164 187.2573 183.16145 188.6211       Polynomial model
4566      118 191.7557 170.75169 180.8435       Polynomial model
4567       60 186.4502 186.47245 193.0735       Polynomial model
4568      230 182.0613 185.11238 179.0117       Polynomial model
4569       60 191.4944 176.18840 181.9308       Polynomial model
4570      242 189.0444 189.16550 185.8972       Polynomial model
4571      174 169.1289 152.03177 145.0574       Polynomial model
4572      156 168.2246 143.61351 137.3881       Polynomial model
4573      239 186.8272 178.30281 180.9106       Polynomial model
4574      171 186.9572 201.75508 202.4427       Polynomial model
4575       59 172.3122 123.55271 120.8006       Polynomial model
4576      224 175.3692 203.53216 208.6799       Polynomial model
4577        8 183.5920 193.85386 197.1149       Polynomial model
4578      205 187.0589 194.47604 185.6757       Polynomial model
4579      255 189.0413 197.32248 204.7429       Polynomial model
4580      169 170.2962 149.23091 141.7616       Polynomial model
4581      236 183.9794 192.10202 183.1934       Polynomial model
4582       97 193.9916 189.72790 184.5656       Polynomial model
4583      241 189.0862 188.57778 186.1785       Polynomial model
4584      109 189.5500 195.78442 190.4882       Polynomial model
4585      190 165.0884 162.88173 167.4052       Polynomial model
4586       84 176.4317 147.42481 151.4486       Polynomial model
4587      243 186.5984 178.62138 183.0872       Polynomial model
4588      192 187.9869 226.11299 213.0490       Polynomial model
4589       41 174.0447 130.51755 132.9295       Polynomial model
4590      157 191.4211 171.59307 181.8856       Polynomial model
4591      221 172.8358 211.36143 205.5115       Polynomial model
4592      233 190.7280 189.15691 187.0521       Polynomial model
4593      167 195.2793 169.53539 175.3258       Polynomial model
4594      233 188.1972 191.43034 184.9387       Polynomial model
4595      232 181.5954 192.56140 191.3492       Polynomial model
4596        3 194.9227 199.81774 189.6977       Polynomial model
4597      205 188.2264 226.10648 212.0470       Polynomial model
4598      142 181.8342 183.87468 180.6219       Polynomial model
4599      218 171.7160 193.58640 187.0670       Polynomial model
4600      226 188.1974 176.26777 182.1556       Polynomial model
4601      198 172.0505 169.10809 164.3121       Polynomial model
4602       60 177.5876 156.78636 157.7126       Polynomial model
4603      218 178.9599 182.86136 190.0323       Polynomial model
4604      209 188.3882 188.27776 194.8996       Polynomial model
4605      147 163.5833 144.78128 150.4076       Polynomial model
4606      157 190.6203 173.48870 181.2503       Polynomial model
4607      242 187.8607 190.46600 190.7878       Polynomial model
4608      144 186.3679 178.19560 193.7273       Polynomial model
4609      204 187.6716 185.27777 183.3814       Polynomial model
4610      247 190.4174 195.06660 187.3174       Polynomial model
4611      193 187.5927 183.46542 184.2076       Polynomial model
4612      137 153.1250 119.14467 132.4043       Polynomial model
4613      255 191.0223 191.59852 190.0212       Polynomial model
4614      240 187.4678 177.55131 184.4884       Polynomial model
4615      218 174.4886 191.92507 194.2837       Polynomial model
4616      116 191.8634 170.63915 180.8211       Polynomial model
4617      213 186.1170 190.93042 194.0659       Polynomial model
4618      227 176.9891 214.76074 225.8476       Polynomial model
4619      207 164.3640 172.20959 179.0060       Polynomial model
4620       87 181.4562 186.05825 183.0348       Polynomial model
4621      264 191.3289 200.29996 194.6592       Polynomial model
4622       44 176.4115 146.71511 150.5227       Polynomial model
4623      197 174.1003 244.04581 237.4121       Polynomial model
4624      227 177.0906 207.39069 219.0373       Polynomial model
4625      223 184.1739 208.88889 203.6014       Polynomial model
4626      154 179.5102 169.07015 165.7861       Polynomial model
4627      209 181.2664 177.43274 171.2548       Polynomial model
4628      249 189.3325 193.24374 187.6595       Polynomial model
4629      223 174.8587 200.85279 203.9385       Polynomial model
4630      213 171.7636 218.03409 211.4480       Polynomial model
4631      263 191.6549 212.05040 204.2066       Polynomial model
4632      240 188.6239 191.70234 185.0807       Polynomial model
4633      181 183.6612 187.22496 190.0567       Polynomial model
4634      237 192.5745 196.06265 192.4462       Polynomial model
4635       45 196.2342 171.24740 175.6492       Polynomial model
4636      225 183.5630 180.26953 175.2859       Polynomial model
4637      264 191.3225 209.85628 201.2530       Polynomial model
4638       18 185.1763 132.44396 170.9006       Polynomial model
4639      245 187.5760 182.28742 190.6028       Polynomial model
4640      134 179.5973 170.22512 166.1558       Polynomial model
4641      195 162.4114 164.30573 170.4107       Polynomial model
4642       40 185.8508 179.40380 183.1261       Polynomial model
4643      211 194.3398 166.53256 172.5852       Polynomial model
4644      172 181.7536 179.73557 174.4201       Polynomial model
4645      167 186.8173 223.87554 216.5372       Polynomial model
4646      255 191.7240 187.08047 190.1293       Polynomial model
4647      245 189.1196 185.11006 189.4662       Polynomial model
4648      213 174.7769 184.57243 188.7755       Polynomial model
4649      145 170.4546 138.23597 130.6962       Polynomial model
4650      193 194.6277 183.87359 186.4682       Polynomial model
4651      249 192.7564 193.47952 190.5106       Polynomial model
4652      208 185.5861 208.89787 200.3558       Polynomial model
4653      237 186.7940 178.66334 179.9899       Polynomial model
4654      261 191.9805 193.19437 190.0842       Polynomial model
4655      139 192.9864 180.55250 182.5322       Polynomial model
4656      211 173.1259 182.45652 180.1497       Polynomial model
4657      178 186.7604 186.64991 182.6258       Polynomial model
4658      144 192.9799 181.57371 182.8141       Polynomial model
4659      236 188.6275 190.23197 184.8547       Polynomial model
4660      193 179.7097 269.80556 287.0794       Polynomial model
4661      194 179.0503 170.88615 172.5898       Polynomial model
4662      241 187.8741 191.31121 190.1010       Polynomial model
4663      240 185.6487 179.59603 179.5674       Polynomial model
4664      243 189.0051 191.89212 185.5058       Polynomial model
4665      158 185.0754 192.23432 194.0069       Polynomial model
4666       94 182.0150 188.95039 188.1564       Polynomial model
4667      210 193.3713 202.38952 193.6049       Polynomial model
4668      237 187.7393 176.97392 183.9432       Polynomial model
4669      242 186.6310 178.45191 181.9632       Polynomial model
4670      124 186.6237 181.41463 185.9856       Polynomial model
4671      239 186.2030 181.89545 188.8475       Polynomial model
4672      189 187.0468 206.03300 196.3395       Polynomial model
4673      135 189.9626 183.98794 183.7492       Polynomial model
4674      209 190.8507 178.01872 185.3539       Polynomial model
4675      231 188.5468 222.05112 209.1627       Polynomial model
4676      238 184.4135 184.07812 175.7798       Polynomial model
4677      143 183.1330 190.29300 192.9611       Polynomial model
4678       78 184.1715 192.83112 195.2475       Polynomial model
4679       99 185.0052 189.15181 187.9988       Polynomial model
4680      252 190.2652 185.86714 189.8370       Polynomial model
4681      177 187.4252 182.54102 186.4228       Polynomial model
4682      199 164.0515 166.71649 173.2169       Polynomial model
4683      210 177.8604 249.90000 261.2852       Polynomial model
4684      230 187.5263 192.08550 187.9110       Polynomial model
4685      223 193.8584 183.61621 184.3834       Polynomial model
4686      204 174.5740 174.39603 178.3782       Polynomial model
4687      225 185.4727 185.43804 191.8915       Polynomial model
4688      201 188.0015 183.51192 187.7482       Polynomial model
4689      175 191.1443 172.32500 182.5956       Polynomial model
4690      252 190.0815 195.76309 187.0914       Polynomial model
4691      262 191.0707 209.07590 214.0895       Polynomial model
4692      173 187.2688 212.80094 203.4887       Polynomial model
4693      177 164.7118 155.99847 160.5667       Polynomial model
4694       88 163.3938 130.47111 135.4067       Polynomial model
4695      234 186.8775 179.53935 179.0397       Polynomial model
4696      199 179.2406 263.24901 279.3261       Polynomial model
4697      159 170.3735 144.02958 136.5135       Polynomial model
4698      214 183.9998 182.64454 183.2669       Polynomial model
4699      206 194.2523 190.60215 190.6873       Polynomial model
4700      212 187.0689 191.11332 186.5867       Polynomial model
4701      264 191.5026 209.60764 201.4073       Polynomial model
4702      243 188.9810 190.68815 185.4867       Polynomial model
4703      130 185.2066 189.90172 188.7061       Polynomial model
4704      161 185.8684 139.63440 167.8992       Polynomial model
4705      215 185.1352 207.91471 199.9349       Polynomial model
4706      204 186.8346 198.51747 188.9452       Polynomial model
4707        8 184.0417 192.26546 194.1714       Polynomial model
4708      167 195.3078 161.88707 168.8861       Polynomial model
4709      180 186.6924 217.04644 208.5806       Polynomial model
4710      177 155.8611 152.55749 146.2887       Polynomial model
4711      221 176.5695 192.79899 203.0062       Polynomial model
4712      127 176.9878 152.87502 156.7195       Polynomial model
4713      220 187.4978 181.17838 179.3437       Polynomial model
4714      230 192.1400 200.10516 189.9560       Polynomial model
4715      203 170.9124 218.36967 214.3182       Polynomial model
4716      185 187.1377 185.06845 182.3354       Polynomial model
4717      234 182.4808 188.15218 181.6842       Polynomial model
4718      252 190.2703 187.72088 189.2977       Polynomial model
4719      244 190.1403 191.27190 187.6520       Polynomial model
4720      233 185.8351 185.01121 177.8720       Polynomial model
4721      205 177.9152 174.39311 182.2763       Polynomial model
4722      237 187.9716 192.48676 187.4841       Polynomial model
4723      232 188.8924 184.60515 189.1676       Polynomial model
4724      186 172.1485 159.81896 155.7113       Polynomial model
4725      221 176.8836 232.79070 241.6799       Polynomial model
4726      226 186.6213 190.25586 193.3866       Polynomial model
4727      253 190.1338 200.96146 197.7562       Polynomial model
4728      182 183.2125 185.19608 185.6224       Polynomial model
4729      173 187.6620 198.49017 202.4632       Polynomial model
4730      244 192.6141 186.42041 189.5635       Polynomial model
4731       20 196.4195 157.84030 167.2325       Polynomial model
4732      111 191.4737 171.75120 180.8312       Polynomial model
4733      191 189.0604 179.20258 180.9054       Polynomial model
4734      193 179.4217 171.47496 171.3242       Polynomial model
4735      191 187.8355 193.25992 185.7712       Polynomial model
4736       48 183.0669 193.92252 197.3649       Polynomial model
4737      162 185.4011 201.60361 153.5264       Polynomial model
4738      109 157.1731 149.97624 144.6049       Polynomial model
4739      239 189.8324 184.93150 188.2231       Polynomial model
4740      123 195.8901 156.29008 164.5579       Polynomial model
4741      251 189.0708 211.88430 207.2750       Polynomial model
4742      139 181.2633 180.72843 175.7836       Polynomial model
4743      249 189.3426 194.37897 186.6956       Polynomial model
4744      267 190.1485 195.11178 207.4278       Polynomial model
4745      192 194.6124 187.77680 189.0420       Polynomial model
4746      266 190.7099 211.55854 211.7623       Polynomial model
4747       92 162.4380 133.65125 140.0774       Polynomial model
4748      167 187.0097 182.21966 182.9853       Polynomial model
4749      178 191.2119 172.78123 182.8545       Polynomial model
4750      120 186.0924 174.00726 191.8004       Polynomial model
4751       93 186.6201 186.92401 193.5540       Polynomial model
4752      136 175.7744 147.37563 152.7029       Polynomial model
4753      201 182.7221 180.54383 176.0621       Polynomial model
4754      230 180.6395 191.49505 194.5151       Polynomial model
4755      219 190.2932 178.32574 186.2987       Polynomial model
4756      226 182.9704 180.26932 172.8170       Polynomial model
4757      244 192.9409 196.38834 193.0391       Polynomial model
4758      204 156.4908 153.32439 150.2271       Polynomial model
4759      198 186.8462 201.82325 192.0731       Polynomial model
4760       26 194.9114 200.63663 190.2353       Polynomial model
4761      166 195.1727 178.75362 182.7057       Polynomial model
4762      244 192.7976 209.33593 203.7565       Polynomial model
4763      191 170.4933 217.88975 216.6189       Polynomial model
4764      207 165.8703 174.58665 178.9558       Polynomial model
4765      238 184.2123 182.46230 174.8510       Polynomial model
4766      231 185.0487 181.93852 185.3643       Polynomial model
4767      219 180.0096 181.64040 183.4366       Polynomial model
4768      236 193.3261 192.02002 190.1951       Polynomial model
4769      268 189.6583 209.26231 191.2967       Polynomial model
4770      192 156.7071 146.34676 149.6243       Polynomial model
4771      226 183.7596 180.38416 176.2050       Polynomial model
4772      229 180.4933 191.14281 194.7311       Polynomial model
4773      159 195.2660 175.95657 180.5720       Polynomial model
4774      167 187.0168 220.73389 212.5781       Polynomial model
4775      139 179.4607 169.15470 165.5784       Polynomial model
4776      191 186.7591 152.30708 184.2632       Polynomial model
4777      224 191.8940 196.15993 187.5700       Polynomial model
4778      263 190.9952 205.75145 197.9933       Polynomial model
4779      179 176.3064 159.92484 167.0754       Polynomial model
4780      222 177.5093 190.92462 202.4488       Polynomial model
4781      258 190.2116 215.64756 204.2150       Polynomial model
4782      167 190.8009 172.14100 181.6986       Polynomial model
4783      129 169.7502 131.70058 123.2920       Polynomial model
4784       47 177.0776 152.12255 154.7323       Polynomial model
4785      247 189.3859 192.82389 186.1304       Polynomial model
4786      189 185.9717 183.65067 160.0879       Polynomial model
4787      197 187.3148 190.94018 199.4431       Polynomial model
4788      216 188.8400 175.32414 182.1495       Polynomial model
4789      238 186.1625 180.25180 178.0677       Polynomial model
4790      266 190.3823 195.71508 206.3096       Polynomial model
4791      178 194.8261 191.39145 190.8961       Polynomial model
4792      222 188.7259 187.62232 194.2653       Polynomial model
4793      150 187.7410 216.32102 207.2917       Polynomial model
4794      165 187.5588 208.45081 207.9911       Polynomial model
4795      163 188.2349 201.76963 193.2325       Polynomial model
4796      240 189.5709 184.07515 188.6100       Polynomial model
4797      229 180.0419 194.13697 201.0221       Polynomial model
4798      102 195.9497 161.96347 169.9826       Polynomial model
4799       21 192.5790 169.96360 179.9087       Polynomial model
4800      225 184.7027 202.25252 193.8791       Polynomial model
4801      211 186.9588 191.23818 187.1519       Polynomial model
4802      203 186.2407 206.69634 197.1717       Polynomial model
4803      106 195.6672 194.44483 195.8437       Polynomial model
4804      245 189.6431 186.05341 192.6625       Polynomial model
4805      203 193.8672 199.94742 194.4976       Polynomial model
4806      193 179.2822 268.08224 283.7983       Polynomial model
4807       35 185.6038 164.43392 187.4342       Polynomial model
4808      161 187.1895 182.86023 188.1122       Polynomial model
4809      248 189.5048 217.94868 205.8030       Polynomial model
4810      255 192.4557 189.76843 187.7711       Polynomial model
4811      250 190.1546 194.92316 187.2632       Polynomial model
4812      224 176.3568 200.14732 209.6227       Polynomial model
4813      204 187.1195 189.36151 184.2609       Polynomial model
4814      201 174.0949 172.20354 174.4303       Polynomial model
4815      227 187.9757 176.77733 181.5837       Polynomial model
4816      183 187.3961 182.95577 183.9149       Polynomial model
4817      234 182.0136 191.44248 187.8856       Polynomial model
4818      212 185.1296 211.19380 203.9999       Polynomial model
4819      248 188.6670 186.89819 190.2702       Polynomial model
4820      221 183.4187 180.37081 175.9588       Polynomial model
4821      204 187.0037 190.08020 185.1860       Polynomial model
4822      237 188.8330 188.55940 185.5020       Polynomial model
4823      123 185.8373 184.21379 181.6060       Polynomial model
4824      212 171.6375 186.17966 179.8105       Polynomial model
4825      237 183.4356 191.89109 183.9033       Polynomial model
4826      222 185.5609 187.12321 193.6286       Polynomial model
4827      237 183.7595 187.30927 178.3066       Polynomial model
4828      153 187.3155 226.30028 215.7121       Polynomial model
4829      219 182.5866 179.51607 172.2202       Polynomial model
4830      214 179.9285 178.97694 179.9345       Polynomial model
4831      214 172.4350 221.47903 214.5514       Polynomial model
4832      219 188.1617 177.46368 180.6199       Polynomial model
4833      207 183.6356 182.90310 182.7122       Polynomial model
4834      120 181.5660 184.52812 181.1489       Polynomial model
4835      171 178.0891 163.56519 166.8524       Polynomial model
4836       56 193.2814 175.54830 180.6951       Polynomial model
4837      244 190.7821 195.37586 187.3784       Polynomial model
4838      188 186.7387 188.79553 184.2370       Polynomial model
4839      177 171.1868 153.28809 147.0004       Polynomial model
4840      204 180.7660 176.06120 171.1731       Polynomial model
4841      232 193.6057 172.74993 176.8383       Polynomial model
4842      243 187.1264 183.70313 191.5626       Polynomial model
4843      217 190.7126 180.35573 186.1167       Polynomial model
4844      254 190.4804 188.14477 189.5214       Polynomial model
4845      156 181.8397 182.21710 178.2144       Polynomial model
4846      235 184.9048 188.60348 179.3150       Polynomial model
4847      212 192.6059 199.03210 188.9233       Polynomial model
4848      250 189.7478 193.76689 186.7454       Polynomial model
4849      120 191.9914 170.76915 180.9362       Polynomial model
4850       31 194.0627 185.42033 182.8499       Polynomial model
4851      127 185.4017 188.13672 185.8914       Polynomial model
4852      233 186.8796 189.67800 193.1088       Polynomial model
4853      183 178.7650 167.64426 169.2472       Polynomial model
4854      202 194.4083 185.03301 186.4449       Polynomial model
4855       20 172.8442 122.10738 121.1495       Polynomial model
4856      231 180.5036 196.19571 201.8227       Polynomial model
4857      146 168.4477 139.23551 132.1760       Polynomial model
4858      240 188.2968 192.80291 186.6005       Polynomial model
4859      135 192.9782 179.65712 182.3052       Polynomial model
4860      170 170.4576 149.42083 142.0852       Polynomial model
4861      237 184.0565 182.80826 174.8060       Polynomial model
4862      139 163.0705 143.14962 149.3192       Polynomial model
4863      252 192.5742 190.51551 188.2596       Polynomial model
4864      217 184.5933 211.24317 205.4216       Polynomial model
4865       66 176.4619 147.38771 151.2635       Polynomial model
4866      225 180.4157 187.08570 189.2845       Polynomial model
4867       90 195.5231 204.00794 196.8085       Polynomial model
4868      249 192.4305 183.10665 188.0724       Polynomial model
4869      190 190.7325 173.06665 183.3395       Polynomial model
4870      204 185.6926 212.04023 203.9532       Polynomial model
4871      236 187.8299 192.30483 188.2544       Polynomial model
4872      189 191.6240 177.88177 184.0459       Polynomial model
4873      153 187.2820 191.60208 197.8449       Polynomial model
4874      178 179.2133 168.58094 167.8585       Polynomial model
4875      247 190.0224 192.14811 187.6595       Polynomial model
4876      242 186.2667 178.98601 182.2937       Polynomial model
4877      150 172.7438 141.94715 140.3721       Polynomial model
4878      184 189.4346 177.71304 181.0504       Polynomial model
4879      214 176.7431 182.51646 192.5846       Polynomial model
4880      257 190.7814 205.93624 205.0731       Polynomial model
4881      148 187.8596 214.89049 205.7734       Polynomial model
4882      243 187.4107 185.05841 192.0268       Polynomial model
4883      157 187.2491 186.24450 192.8600       Polynomial model
4884       49 195.7507 203.04401 196.5467       Polynomial model
4885      221 188.5911 222.73065 209.9357       Polynomial model
4886      234 184.1681 180.52021 175.5279       Polynomial model
4887      250 189.5162 194.49906 186.4347       Polynomial model
4888      187 178.7361 168.36434 170.5260       Polynomial model
4889       50 173.0975 123.39480 123.2321       Polynomial model
4890      150 173.1845 244.61685 239.1734       Polynomial model
4891      229 190.5048 184.89005 187.0991       Polynomial model
4892      187 182.3787 180.93234 176.6044       Polynomial model
4893      143 183.9104 192.50056 196.8666       Polynomial model
4894      182 173.0319 156.57083 155.5464       Polynomial model
4895      238 185.3546 183.97773 176.8079       Polynomial model
4896      199 190.3719 173.41443 183.6741       Polynomial model
4897      178 165.8838 156.59448 158.3329       Polynomial model
4898      212 194.0831 191.68947 191.2656       Polynomial model
4899      162 172.8234 147.01225 145.5833       Polynomial model
4900      177 187.6843 188.38995 195.0533       Polynomial model
4901      169 178.6364 165.47434 166.5649       Polynomial model
4902      192 184.5822 189.15644 194.5150       Polynomial model
4903      204 186.0115 208.25654 199.0935       Polynomial model
4904        8 189.8246 203.35494 197.0579       Polynomial model
4905      149 187.1318 186.13306 192.7344       Polynomial model
4906      210 194.2841 175.45410 178.5626       Polynomial model
4907      262 191.7570 199.49040 194.0275       Polynomial model
4908      201 155.9194 147.03781 147.3240       Polynomial model
4909      157 170.0775 143.34047 135.5735       Polynomial model
4910      194 165.4441 164.98697 168.9603       Polynomial model
4911       19 178.9089 168.56859 165.3092       Polynomial model
4912      261 191.6628 182.03855 186.9218       Polynomial model
4913      227 184.0245 180.52553 177.5270       Polynomial model
4914      229 188.3171 188.69868 184.3190       Polynomial model
4915      246 189.7488 187.95553 193.8893       Polynomial model
4916      231 189.0073 185.92339 192.5306       Polynomial model
4917      203 185.6993 212.93204 205.0221       Polynomial model
4918      221 174.6675 199.06492 201.4765       Polynomial model
4919      263 191.2043 203.64722 196.6673       Polynomial model
4920      102 189.8013 192.68051 188.7104       Polynomial model
4921      201 190.5248 174.07928 184.1701       Polynomial model
4922      157 180.3747 173.86953 168.4014       Polynomial model
4923      193 190.6305 173.16081 183.4417       Polynomial model
4924      231 186.1700 186.59579 193.4350       Polynomial model
4925      248 189.0658 193.86756 186.8657       Polynomial model
4926       96 181.5970 186.46084 183.8219       Polynomial model
4927      146 195.3921 182.67782 186.2930       Polynomial model
4928      194 187.6650 222.47232 209.7451       Polynomial model
4929      216 185.0586 207.85100 200.0061       Polynomial model
4930      208 188.9545 175.88749 181.3134       Polynomial model
4931      210 187.5671 189.81129 199.5420       Polynomial model
4932      102 176.8610 151.06490 154.6827       Polynomial model
4933      223 187.6556 179.12292 179.7130       Polynomial model
4934      227 180.8350 187.05627 187.1144       Polynomial model
4935      120 181.2821 182.90208 178.6508       Polynomial model
4936      233 185.9612 184.69121 191.7821       Polynomial model
4937      142 189.7933 184.28781 183.6398       Polynomial model
4938      216 167.5556 187.92345 189.7680       Polynomial model
4939       99 181.7436 187.09661 184.9740       Polynomial model
4940       14 186.0089 180.21307 184.7301       Polynomial model
4941       37 196.2497 172.35411 176.4600       Polynomial model
4942      224 186.8680 191.40847 191.6061       Polynomial model
4943       50 196.4821 159.85560 169.1818       Polynomial model
4944      218 187.0811 191.69425 188.0681       Polynomial model
4945      258 192.2553 196.07038 191.9271       Polynomial model
4946      179 187.6662 230.46819 215.0846       Polynomial model
4947      223 178.2577 191.75279 203.1220       Polynomial model
4948      248 189.7091 203.78315 200.1414       Polynomial model
4949      153 187.2727 192.06137 198.2138       Polynomial model
4950      222 180.2833 183.38656 184.5751       Polynomial model
4951      143 164.5337 142.70320 146.3341       Polynomial model
4952      197 184.8085 189.37603 194.9537       Polynomial model
4953      194 180.8356 175.09864 169.3130       Polynomial model
4954      251 189.8130 209.62959 201.8721       Polynomial model
4955      226 177.1541 217.53227 229.0752       Polynomial model
4956      222 193.9136 182.92865 183.9229       Polynomial model
4957      190 192.1064 183.75928 184.5277       Polynomial model
4958       50 189.1847 219.80547 211.7036       Polynomial model
4959      122 185.9709 159.32479 186.0740       Polynomial model
4960      166 182.5656 184.55445 182.9781       Polynomial model
4961      154 173.8692 145.39763 147.5947       Polynomial model
4962      258 189.9002 216.85381 207.8939       Polynomial model
4963      147 195.5904 159.25759 166.9821       Polynomial model
4964      200 154.9760 127.83922 142.3569       Polynomial model
4965       70 193.7024 182.45516 182.1754       Polynomial model
4966      228 185.0421 182.94991 187.2913       Polynomial model
4967      231 188.0492 176.38264 182.8233       Polynomial model
4968      263 191.1159 206.14892 198.2268       Polynomial model
4969      195 181.6871 177.72975 171.1379       Polynomial model
4970      143 172.3181 138.82605 135.8762       Polynomial model
4971      239 190.3019 188.55697 187.5667       Polynomial model
4972      171 163.1877 153.61834 160.0444       Polynomial model
4973       44 178.0349 160.24677 160.0744       Polynomial model
4974      264 188.5942 211.96589 180.8571       Polynomial model
4975      235 184.3377 180.51281 175.8781       Polynomial model
4976      246 192.8628 177.22873 183.4597       Polynomial model
4977      238 192.2491 198.71539 191.8435       Polynomial model
4978      139 193.3473 186.14524 183.7212       Polynomial model
4979      120 183.0573 191.85051 194.8297       Polynomial model
4980      230 187.4639 155.93879 186.1515       Polynomial model
4981      190 188.0275 198.13414 201.8459       Polynomial model
4982      195 187.2059 182.82857 196.7293       Polynomial model
4983      202 173.5120 237.49275 230.5165       Polynomial model
4984      231 193.6416 170.99419 176.5782       Polynomial model
4985      209 192.1810 193.00249 186.5560       Polynomial model
4986      241 191.0883 196.41750 187.6108       Polynomial model
4987      239 193.1494 196.42548 193.4317       Polynomial model
4988      164 187.2611 183.00352 188.3060       Polynomial model
4989      180 178.5978 166.68127 168.7390       Polynomial model
4990      203 187.5238 190.34747 183.2858       Polynomial model
4991      256 189.7427 218.75945 207.3865       Polynomial model
4992      181 186.2690 190.05389 186.7046       Polynomial model
4993      208 185.3512 189.26554 195.0566       Polynomial model
4994      213 167.0912 189.83096 194.3550       Polynomial model
4995      188 184.6417 189.94159 195.2987 General additive model
4996      126 182.3557 188.53914 188.4331 General additive model
4997      204 190.7776 176.02804 184.8440 General additive model
4998      153 193.9508 199.60770 189.4001 General additive model
4999      174 192.7517 186.41724 184.3746 General additive model
5000      177 193.2240 195.03717 187.0011 General additive model
5001      241 186.3831 178.86153 180.3419 General additive model
5002      242 186.3832 178.77189 181.6982 General additive model
5003      231 193.4518 197.39235 194.7743 General additive model
5004      206 181.9026 178.09397 171.0829 General additive model
5005      152 187.3359 205.22988 206.7187 General additive model
5006      135 170.8608 134.47704 127.5636 General additive model
5007      222 178.2793 190.49255 201.5793 General additive model
5008      210 189.4086 174.21851 182.9620 General additive model
5009      127 195.5334 190.41215 192.6107 General additive model
5010      204 187.3694 184.64595 197.6102 General additive model
5011      208 184.9840 187.89469 193.7753 General additive model
5012      218 190.1736 177.15068 186.0544 General additive model
5013      249 192.5938 204.13475 198.8046 General additive model
5014      187 194.4913 211.93670 207.6560 General additive model
5015      142 171.2681 137.07568 131.0793 General additive model
5016      256 190.5218 195.57255 194.6128 General additive model
5017      201 188.8485 178.39349 180.6646 General additive model
5018      198 183.8876 185.59766 188.2159 General additive model
5019      238 184.4539 186.38637 177.3767 General additive model
5020      251 190.1465 186.95057 192.7718 General additive model
5021       20 178.2391 162.70417 161.5181 General additive model
5022      139 175.6371 147.22858 152.5962 General additive model
5023      222 186.4278 190.52585 193.6478 General additive model
5024      177 192.9604 190.56870 185.4274 General additive model
5025      244 187.6902 158.88822 182.6300 General additive model
5026      205 180.4677 175.82756 172.2603 General additive model
5027      233 181.2775 193.58656 194.3568 General additive model
5028      228 184.6685 198.13789 189.0945 General additive model
5029      218 172.3644 214.52407 207.7859 General additive model
5030      223 180.4220 184.38416 185.3195 General additive model
5031      223 188.0740 177.01144 181.0518 General additive model
5032      204 155.9468 144.79172 147.3275 General additive model
5033      227 184.5970 200.54157 192.0196 General additive model
5034      117 195.7099 179.30481 184.1203 General additive model
5035      224 184.7221 182.74034 185.8470 General additive model
5036      201 174.0222 171.79511 173.7587 General additive model
5037      254 190.5001 193.29121 188.6654 General additive model
5038      110 194.5302 201.06039 190.4480 General additive model
5039      232 190.8092 189.55981 186.9835 General additive model
5040      185 194.8595 174.94753 179.0061 General additive model
5041      148 186.0331 186.33714 182.9727 General additive model
5042      249 189.4223 190.11900 188.5963 General additive model
5043      167 186.5355 185.46297 182.0531 General additive model
5044      184 178.5094 167.16942 169.9774 General additive model
5045       77 168.9522 120.02215 110.7807 General additive model
5046      212 188.0765 180.27869 179.9831 General additive model
5047      202 165.6026 170.39487 174.7457 General additive model
5048      203 187.4935 186.40557 182.9340 General additive model
5049      235 186.1548 184.09197 191.4073 General additive model
5050      229 193.7339 170.80628 175.8051 General additive model
5051      252 189.5783 220.01554 207.0075 General additive model
5052      225 189.6160 177.04738 186.5617 General additive model
5053      229 179.8726 196.34493 204.7194 General additive model
5054      246 187.8896 183.37767 190.9599 General additive model
5055      222 185.3300 199.07754 189.4525 General additive model
5056      160 176.8821 156.68269 162.2344 General additive model
5057      161 184.2396 191.83112 196.5232 General additive model
5058      138 172.4474 137.34571 134.8552 General additive model
5059      180 180.0025 171.73878 167.9517 General additive model
5060      176 186.3137 189.33981 185.5967 General additive model
5061      213 188.2631 227.65753 211.5468 General additive model
5062       10 195.1008 200.45990 190.1585 General additive model
5063      145 195.4311 187.57893 188.1125 General additive model
5064      138 194.9537 205.51857 196.3811 General additive model
5065      195 188.7992 180.41988 180.8314 General additive model
5066      151 187.3158 215.82933 211.8872 General additive model
5067      178 189.8048 176.33322 181.1690 General additive model
5068      225 177.0586 201.28797 212.8297 General additive model
5069      234 182.3410 188.78979 182.9835 General additive model
5070       10 177.3864 154.87745 156.4726 General additive model
5071      215 188.2584 183.97763 187.0544 General additive model
5072      160 191.5545 172.06307 182.1275 General additive model
5073      248 188.7601 186.13024 190.1241 General additive model
5074      235 190.4325 187.24807 187.3584 General additive model
5075       93 169.6621 123.37129 114.4858 General additive model
5076      221 176.4014 194.95257 204.6945 General additive model
5077      193 188.0033 187.19180 193.8914 General additive model
5078      236 188.0645 176.85853 185.1952 General additive model
5079      225 184.9139 183.27325 187.4554 General additive model
5080      156 175.2908 150.21806 155.7972 General additive model
5081       20 184.7492 137.85696 156.6317 General additive model
5082       30 186.3015 235.83407 222.0519 General additive model
5083      145 182.5395 187.44355 187.3179 General additive model
5084      237 188.5088 212.39913 206.8407 General additive model
5085      243 189.5490 188.28357 194.3183 General additive model
5086      233 184.9048 180.96760 182.4389 General additive model
5087      193 173.5310 165.51689 165.9208 General additive model
5088      144 158.8352 184.02183 158.7595 General additive model
5089      217 187.8661 179.65581 179.7788 General additive model
5090      240 185.2087 180.94284 176.5498 General additive model
5091      234 193.1998 184.30707 188.0526 General additive model
5092       14 175.8363 141.81433 145.9640 General additive model
5093      180 186.9256 213.78137 204.6728 General additive model
5094      203 178.7148 259.09320 273.3729 General additive model
5095       10 181.0872 188.15557 185.1071 General additive model
5096      166 186.0301 189.33559 186.1736 General additive model
5097      211 165.6630 176.36485 181.6070 General additive model
5098      211 173.0224 182.65130 179.9597 General additive model
5099      217 180.9610 179.22789 175.0386 General additive model
5100      233 182.3944 187.24936 180.7705 General additive model
5101       10 185.4526 179.59971 179.7742 General additive model
5102      220 193.8413 196.47180 194.7235 General additive model
5103       99 191.3670 172.88415 180.9427 General additive model
5104      231 186.8422 180.94854 178.5424 General additive model
5105      168 155.3138 148.67721 143.3212 General additive model
5106      253 191.2468 194.65438 190.1875 General additive model
5107      144 187.1213 189.70716 196.2499 General additive model
5108      192 186.6273 209.34991 199.8954 General additive model
5109      184 186.8819 173.64831 193.0806 General additive model
5110      237 188.9740 222.91909 208.7241 General additive model
5111      222 183.5870 180.48945 176.5874 General additive model
5112      201 187.7330 184.08512 184.1824 General additive model
5113      221 171.5128 201.35277 194.6021 General additive model
5114      176 195.0958 175.08540 179.7775 General additive model
5115      250 190.8982 197.44255 188.3021 General additive model
5116      217 179.4752 181.51965 185.9419 General additive model
5117      248 190.4394 195.39121 187.3237 General additive model
5118      265 191.0549 214.27812 212.9333 General additive model
5119      182 195.0075 166.51027 172.3272 General additive model
5120      226 188.5915 225.74637 210.4094 General additive model
5121      224 185.6109 193.98575 184.2467 General additive model
5122      203 183.6041 183.43376 183.6425 General additive model
5123      152 179.9919 171.86625 167.1332 General additive model
5124      235 182.4738 195.89116 192.1762 General additive model
5125      243 186.6490 178.95880 184.6816 General additive model
5126      231 180.7034 193.56837 197.1634 General additive model
5127      187 185.6802 191.89314 193.5372 General additive model
5128      226 187.9874 176.89818 181.3286 General additive model
5129      242 188.2752 179.44799 188.6014 General additive model
5130      175 195.0229 178.17493 181.9545 General additive model
5131      243 186.9391 178.29076 184.0454 General additive model
5132      250 189.5461 194.70945 186.8010 General additive model
5133      211 164.8886 174.65985 181.1691 General additive model
5134      171 178.8261 166.39806 166.8136 General additive model
5135      239 188.8120 221.74263 208.8650 General additive model
5136      236 188.5219 216.26017 207.7348 General additive model
5137      171 181.9453 180.75601 176.0572 General additive model
5138      124 181.5730 184.40324 180.9885 General additive model
5139       85 185.8343 167.27296 188.8961 General additive model
5140      245 189.0347 219.69126 208.3280 General additive model
5141      201 179.8696 174.24465 173.0629 General additive model
5142      200 180.3448 174.63233 171.0069 General additive model
5143       64 194.3618 193.88926 186.3166 General additive model
5144      231 183.4244 203.09667 198.3987 General additive model
5145      206 182.5312 179.53697 173.6763 General additive model
5146      186 179.4425 170.22124 169.1280 General additive model
5147      217 174.3297 191.69689 193.3836 General additive model
5148       10 196.3952 166.66618 174.9219 General additive model
5149      246 191.3834 198.47362 189.2280 General additive model
5150      198 179.7953 173.52735 172.3611 General additive model
5151       70 196.1293 180.45865 185.7314 General additive model
5152       39 181.1435 185.85039 182.2797 General additive model
5153      215 187.6297 186.46582 198.6758 General additive model
5154      172 168.3008 151.09075 145.4578 General additive model
5155      114 185.6111 136.25550 173.6496 General additive model
5156      235 187.1698 190.31374 192.1987 General additive model
5157      213 181.3332 178.17734 172.0659 General additive model
5158      185 162.7718 160.23536 166.7477 General additive model
5159      140 185.5532 188.80340 186.4369 General additive model
5160      261 191.9793 189.53793 188.1191 General additive model
5161      185 182.0891 179.91735 174.6902 General additive model
5162      226 185.6399 192.77578 183.1563 General additive model
5163      244 186.9815 179.45541 186.9809 General additive model
5164      259 191.4178 182.25881 188.6390 General additive model
5165      171 171.3987 150.27341 144.4708 General additive model
5166      229 188.3687 188.09350 184.4700 General additive model
5167      195 181.1467 176.05601 169.6853 General additive model
5168      189 172.3817 233.51396 227.4575 General additive model
5169      201 177.2565 172.17515 180.8101 General additive model
5170      210 185.7190 206.10150 196.9274 General additive model
5171      235 185.3603 181.39279 185.3367 General additive model
5172      257 191.2435 188.62697 190.2724 General additive model
5173      216 181.4150 178.98152 172.8997 General additive model
5174      174 184.0910 189.90738 194.5700 General additive model
5175      255 190.4945 184.68131 191.1139 General additive model
5176       26 190.7609 184.67053 185.3094 General additive model
5177      219 185.1538 203.72663 194.8883 General additive model
5178      229 188.7138 224.45696 209.8541 General additive model
5179      205 179.2071 256.86904 273.3517 General additive model
5180      204 173.8689 174.14902 175.3586 General additive model
5181      194 162.3526 163.62361 169.6920 General additive model
5182      244 186.8156 179.01563 185.5586 General additive model
5183       95 190.7167 179.55598 182.6982 General additive model
5184      259 191.9591 212.66201 205.5281 General additive model
5185      263 190.2303 213.50813 209.2159 General additive model
5186      113 195.8805 177.54690 180.7111 General additive model
5187      250 189.2701 192.31306 188.1162 General additive model
5188       16 195.6180 207.04230 197.2893 General additive model
5189       56 186.5058 239.11804 221.1917 General additive model
5190      236 188.8915 186.30182 186.6547 General additive model
5191      218 186.7830 187.77934 180.6140 General additive model
5192      205 179.3905 174.84125 176.6680 General additive model
5193      207 171.4363 179.43745 173.0149 General additive model
5194      210 164.2910 173.22624 180.2238 General additive model
5195      185 182.4138 181.32935 177.3467 General additive model
5196      131 177.2820 154.96368 158.2855 General additive model
5197      243 186.7790 178.36038 183.1831 General additive model
5198      259 190.3307 213.68455 202.9111 General additive model
5199      155 192.3714 176.91312 182.5583 General additive model
5200      202 173.1747 173.37562 171.9459 General additive model
5201      150 178.1405 161.32664 163.0004 General additive model
5202      157 186.5148 177.82487 193.8389 General additive model
5203      262 191.3210 197.58005 193.2372 General additive model
5204      213 190.4972 176.95018 185.5592 General additive model
5205      222 180.1177 184.31086 186.7744 General additive model
5206      105 195.8452 171.14045 177.6464 General additive model
5207      190 189.8288 174.22315 181.6034 General additive model
5208      206 191.9972 189.15265 185.7544 General additive model
5209      232 181.3753 192.03716 191.6504 General additive model
5210      162 186.2574 186.94547 183.2115 General additive model
5211      150 177.3755 157.31730 161.2910 General additive model
5212      199 171.5770 224.24812 218.9534 General additive model
5213      179 174.3871 156.57190 160.3630 General additive model
5214      152 182.8285 187.90356 188.7604 General additive model
5215      157 162.9993 148.88282 155.2956 General additive model
5216      130 189.2206 196.84871 190.7069 General additive model
5217      243 189.5776 190.64207 195.5329 General additive model
5218       86 169.2567 121.74079 112.5982 General additive model
5219      223 180.1362 185.01743 187.7047 General additive model
5220      197 179.7667 172.94269 171.5951 General additive model
5221       18 188.0577 241.24772 235.8983 General additive model
5222      171 193.8225 201.36615 190.5718 General additive model
5223      170 179.9345 171.20624 167.1999 General additive model
5224      102 176.7328 150.14694 153.9808 General additive model
5225      142 172.5328 138.89791 136.6657 General additive model
5226      110 182.4802 190.24906 191.1815 General additive model
5227      101 194.0892 191.95653 185.4721 General additive model
5228      244 187.9486 188.38125 191.4051 General additive model
5229       40 178.4327 164.37616 162.5787 General additive model
5230      244 192.7733 182.66243 187.4938 General additive model
5231      178 177.3620 162.57854 168.5126 General additive model
5232      179 186.6924 187.27069 183.0431 General additive model
5233      210 194.3400 168.33423 173.3794 General additive model
5234       74 179.9910 176.02917 170.8484 General additive model
5235      232 182.8810 183.64538 175.3893 General additive model
5236      204 179.2795 174.39046 176.5937 General additive model
5237      234 182.2782 200.28466 199.1647 General additive model
5238      194 164.0502 164.44143 170.7648 General additive model
5239      240 185.2271 181.86828 176.2578 General additive model
5240      245 188.8777 214.48493 207.5146 General additive model
5241      199 188.9939 177.63723 180.7858 General additive model
5242      100 192.2038 170.54770 180.6195 General additive model
5243      114 178.0097 159.48219 160.2632 General additive model
5244       72 190.6721 181.99676 183.7634 General additive model
5245      245 188.1637 180.39484 189.2722 General additive model
5246      179 194.1103 204.43821 194.4940 General additive model
5247      246 188.0056 181.98078 190.2508 General additive model
5248      119 177.7315 157.54559 159.3232 General additive model
5249      184 194.9142 175.46899 180.2598 General additive model
5250       45 163.5299 125.67442 129.9238 General additive model
5251      219 184.5600 210.15017 204.1007 General additive model
5252       52 196.0883 167.33229 174.8963 General additive model
5253      108 192.8241 174.44629 181.1308 General additive model
5254       75 196.0262 167.30239 174.7507 General additive model
5255      209 180.4615 176.68497 173.6217 General additive model
5256      262 191.8089 187.87518 187.7648 General additive model
5257      261 191.4284 186.80884 188.6814 General additive model
5258      207 186.2745 191.69109 192.1243 General additive model
5259       60 196.3878 153.51291 162.9837 General additive model
5260       25 192.4301 169.93202 179.9839 General additive model
5261      227 184.4461 201.98543 194.0627 General additive model
5262      222 178.0325 233.04481 246.8892 General additive model
5263      200 182.6503 180.53969 176.0133 General additive model
5264      223 185.7293 187.33414 193.8695 General additive model
5265      259 190.2617 214.85067 203.6688 General additive model
5266      245 187.5041 183.55273 191.3342 General additive model
5267      140 174.0892 141.40994 144.2192 General additive model
5268      173 164.9640 153.77244 157.5565 General additive model
5269      227 181.5522 184.33005 179.8265 General additive model
5270      249 189.0160 191.15669 188.8036 General additive model
5271      178 176.7695 160.56028 167.3648 General additive model
5272      209 175.9882 178.64212 187.1353 General additive model
5273      260 190.7127 204.84342 197.7902 General additive model
5274      212 187.4929 189.05356 183.7596 General additive model
5275      239 184.8390 184.54812 176.4421 General additive model
5276      212 193.6267 198.48428 193.9597 General additive model
5277      255 190.5867 192.07385 189.0964 General additive model
5278      235 183.2303 196.76707 190.6310 General additive model
5279      263 190.2347 212.95756 209.3604 General additive model
5280      220 178.3069 236.75420 251.3405 General additive model
5281      161 193.7138 197.71039 188.2775 General additive model
5282      245 192.9629 186.71696 185.7962 General additive model
5283      224 189.9470 178.06866 186.6873 General additive model
5284       48 185.0791 131.04805 163.2531 General additive model
5285      233 193.4142 196.16974 193.7026 General additive model
5286      220 177.9948 187.35072 198.1626 General additive model
5287      197 173.1831 168.85983 167.7573 General additive model
5288      222 193.1959 199.33564 193.6063 General additive model
5289      171 164.2832 153.46182 158.6079 General additive model
5290      215 179.8015 179.41578 181.2565 General additive model
5291      214 181.8600 178.55610 171.3460 General additive model
5292      190 179.7381 171.63377 169.6034 General additive model
5293       22 178.3742 163.69153 162.1474 General additive model
5294      180 164.0004 157.69749 163.5939 General additive model
5295      137 195.6454 165.26307 172.2786 General additive model
5296       80 195.8089 190.10089 192.7429 General additive model
5297      245 187.4091 181.04523 189.6309 General additive model
5298      225 188.6330 184.35744 188.5050 General additive model
5299      252 190.1032 192.39488 187.8593 General additive model
5300      218 186.0852 194.93533 185.2709 General additive model
5301      252 191.5128 194.59364 190.7397 General additive model
5302      191 180.4127 173.67642 168.9962 General additive model
5303      167 172.0872 233.50199 229.9962 General additive model
5304      231 180.9364 193.56294 196.0094 General additive model
5305      190 179.1849 170.23693 170.7943 General additive model
5306      158 172.6044 238.69868 234.3437 General additive model
5307      226 193.8047 179.50911 181.1607 General additive model
5308      242 189.1025 182.88839 189.2342 General additive model
5309      185 189.1410 180.39190 181.2277 General additive model
5310      195 173.8418 166.49963 168.0452 General additive model
5311      150 191.6727 171.57025 181.7239 General additive model
5312      262 191.2749 194.12355 191.7526 General additive model
5313      260 191.6897 181.24063 186.9905 General additive model
5314      257 191.0876 186.16063 190.0100 General additive model
5315      190 173.3543 162.36802 162.2654 General additive model
5316      243 187.0602 183.30558 191.3041 General additive model
5317      218 179.9982 181.01441 182.5775 General additive model
5318      174 184.7469 191.58778 196.2941 General additive model
5319      188 176.1400 163.61120 171.2678 General additive model
5320      210 187.2968 188.20605 181.6186 General additive model
5321      215 192.2751 196.24711 187.5863 General additive model
5322      241 185.8259 179.52020 181.7994 General additive model
5323      189 172.3968 161.84916 158.4126 General additive model
5324      190 194.7201 180.89968 184.3761 General additive model
5325       38 185.1481 130.08594 167.4785 General additive model
5326      228 188.6712 224.55043 210.0228 General additive model
5327      152 195.3518 177.97740 182.3969 General additive model
5328      256 190.7222 191.59123 189.4595 General additive model
5329      257 190.7268 205.69187 204.3732 General additive model
5330      238 184.5449 181.03672 175.4933 General additive model
5331      139 187.5957 223.69459 215.5782 General additive model
5332      247 188.1751 183.22036 190.6058 General additive model
5333       41 196.2303 173.62410 177.4277 General additive model
5334      123 182.9401 191.42399 193.9932 General additive model
5335       70 196.1556 193.82904 191.4775 General additive model
5336      119 195.7199 177.55913 182.7205 General additive model
5337      136 185.1640 185.12110 152.9529 General additive model
5338      109 179.8699 173.64033 168.6697 General additive model
5339      247 189.7247 185.16768 189.9084 General additive model
5340      185 190.4621 172.58523 182.3364 General additive model
5341       44 194.8228 200.45831 190.0973 General additive model
5342       76 174.2660 133.25195 136.1964 General additive model
5343      264 191.1476 207.93122 199.4569 General additive model
5344       55 193.0987 173.50265 180.3970 General additive model
5345       29 185.6171 180.28270 180.0075 General additive model
5346      227 187.5275 191.89448 186.9861 General additive model
5347      216 188.3088 177.50392 180.5926 General additive model
5348      158 187.2943 187.58566 194.2681 General additive model
5349       72 180.9871 183.56720 179.2377 General additive model
5350      138 190.0291 182.27264 183.0386 General additive model
5351      173 172.9494 151.91430 150.7733 General additive model
5352      168 188.3489 197.69824 189.9519 General additive model
5353      251 189.6825 194.65794 187.0638 General additive model
5354      223 177.9304 230.55978 244.1787 General additive model
5355       35 176.3577 146.19765 150.0270 General additive model
5356       64 190.1711 190.57426 187.9553 General additive model
5357      230 191.1054 191.59222 186.8808 General additive model
5358       74 195.6318 214.13041 209.7466 General additive model
5359      222 188.2257 186.52577 184.4727 General additive model
5360      229 182.9681 181.24223 173.2020 General additive model
5361      244 193.0023 183.75345 183.8145 General additive model
5362       80 191.8148 171.01042 180.5528 General additive model
5363      223 186.3343 189.93372 194.0864 General additive model
5364       66 195.5105 229.25045 219.4307 General additive model
5365      207 186.1429 203.43293 193.6840 General additive model
5366      210 193.8602 194.75242 192.8425 General additive model
5367      235 188.8276 186.48417 186.3334 General additive model
5368      193 185.1933 190.88178 195.7557 General additive model
5369      235 182.9245 195.40799 189.8343 General additive model
5370      193 170.8491 220.41553 217.7943 General additive model
5371      254 188.6036 175.50610 197.2843 General additive model
5372      158 174.1283 253.42747 246.2103 General additive model
5373      229 180.8555 190.43450 191.9109 General additive model
5374      171 164.7576 152.93488 157.0964 General additive model
5375       95 177.2118 153.44218 156.1886 General additive model
5376      225 188.8657 194.10796 198.4690 General additive model
5377      229 183.6305 180.33677 174.6189 General additive model
5378       30 175.4983 138.52723 142.5971 General additive model
5379      216 167.4401 187.23050 189.3397 General additive model
5380      176 186.5741 187.51346 183.3241 General additive model
5381      218 188.5362 176.09279 181.5754 General additive model
5382      249 189.7700 192.46935 187.7683 General additive model
5383      228 183.9718 180.47721 177.1352 General additive model
5384       54 185.7932 180.22383 180.2878 General additive model
5385      221 172.1402 200.99109 194.6544 General additive model
5386      246 192.8937 194.98291 191.8503 General additive model
5387      237 189.0273 221.29530 208.1095 General additive model
5388      223 180.2038 184.69040 186.8871 General additive model
5389      142 177.0641 154.73030 159.0108 General additive model
5390      192 188.0615 196.61970 200.9251 General additive model
5391       10 186.0709 182.96095 189.0367 General additive model
5392      135 191.4371 171.22527 181.0981 General additive model
5393      216 187.8508 204.58255 204.1949 General additive model
5394      205 192.5704 225.13275 219.3583 General additive model
5395      236 187.4110 190.99138 191.1634 General additive model
5396      218 172.5516 216.59582 209.9234 General additive model
5397      216 187.0590 191.53711 187.6074 General additive model
5398      166 183.9275 190.27071 194.6935 General additive model
5399      235 188.1306 192.09539 185.6320 General additive model
5400      211 194.2674 176.31570 179.2144 General additive model
5401      246 189.2603 191.88063 185.9508 General additive model
5402      150 187.9506 212.35175 203.1461 General additive model
5403       92 194.4791 197.96107 188.4862 General additive model
5404      174 178.6070 165.90986 167.4700 General additive model
5405       50 186.3768 185.46090 191.9812 General additive model
5406      227 176.9931 211.31482 222.5672 General additive model
5407      190 182.7820 182.25659 179.5212 General additive model
5408      215 192.0421 193.46091 186.7359 General additive model
5409      102 163.2123 133.92938 139.4284 General additive model
5410       71 178.8506 166.77715 164.0750 General additive model
5411      239 187.3001 177.54191 183.0741 General additive model
5412      198 187.7261 183.72299 184.5127 General additive model
5413       69 193.9879 186.98209 183.4923 General additive model
5414      254 190.4069 184.88459 190.2523 General additive model
5415        6 194.1802 185.89893 182.9375 General additive model
5416       59 182.4731 192.23975 193.9136 General additive model
5417      150 181.8963 183.27105 179.8329 General additive model
5418       15 189.6678 205.91355 199.0061 General additive model
5419      138 171.6412 136.40919 131.4035 General additive model
5420      238 188.8674 178.93632 188.1056 General additive model
5421      101 161.5414 137.44116 144.1122 General additive model
5422      194 185.0522 190.35052 195.6758 General additive model
5423      222 178.1541 190.47998 201.7207 General additive model
5424      203 167.4428 172.86947 172.1935 General additive model
5425       54 181.3091 186.31773 183.1333 General additive model
5426      199 187.3072 195.52562 186.8061 General additive model
5427      148 173.3375 142.49393 142.9650 General additive model
5428      219 187.3166 182.75548 179.3270 General additive model
5429      233 189.1121 187.44187 194.0154 General additive model
5430      174 187.2730 182.24198 184.7939 General additive model
5431      224 184.7777 182.91486 186.3668 General additive model
5432      218 172.8407 218.56003 212.1309 General additive model
5433      156 170.4061 143.08761 135.5865 General additive model
5434       30 167.3260 117.07993 109.7161 General additive model
5435      140 195.3728 192.31351 193.8518 General additive model
5436      228 179.8115 193.14475 200.6283 General additive model
5437      172 167.9852 151.53951 146.6774 General additive model
5438      226 188.0883 189.20547 184.0360 General additive model
5439      224 178.6820 191.95130 202.6584 General additive model
5440      146 186.3171 171.63033 191.3212 General additive model
5441      241 189.0787 222.72653 208.4632 General additive model
5442      224 177.0632 197.33867 208.7872 General additive model
5443       99 178.5208 163.49341 162.2201 General additive model
5444       83 167.8837 121.86294 113.9604 General additive model
5445      122 183.5501 192.95035 196.9679 General additive model
5446      159 178.0607 161.69104 164.1520 General additive model
5447      215 194.2306 167.26481 173.3597 General additive model
5448      195 183.0701 182.74739 180.9953 General additive model
5449       40 191.3944 177.69918 182.5038 General additive model
5450      232 185.1390 181.86072 185.5267 General additive model
5451      242 186.9886 225.46915 165.3585 General additive model
5452      229 181.1149 188.83247 188.2986 General additive model
5453      208 185.1423 215.26236 209.1147 General additive model
5454      229 181.2179 187.79802 186.2993 General additive model
5455      188 186.1381 219.65822 212.4730 General additive model
5456      199 194.6405 166.24581 171.8832 General additive model
5457      163 194.3295 204.90473 194.3038 General additive model
5458      128 180.0361 173.70320 168.5712 General additive model
5459      171 187.4733 184.74860 191.0244 General additive model
5460      237 183.3422 186.53698 177.9043 General additive model
5461       32 183.5577 193.97464 197.4429 General additive model
5462      230 185.1415 192.22509 182.5630 General additive model
5463      191 187.1230 186.54107 182.6130 General additive model
5464      214 183.7067 181.91588 180.8306 General additive model
5465      136 182.3954 187.71878 187.3530 General additive model
5466      261 190.8449 207.58392 199.1305 General additive model
5467      243 186.5782 178.97683 184.3798 General additive model
5468      246 189.9840 191.00208 187.8238 General additive model
5469      145 168.1129 139.32854 132.8885 General additive model
5470      247 190.3129 194.34115 187.3354 General additive model
5471      162 181.6866 180.58288 175.6970 General additive model
5472      170 183.3805 187.83261 190.1724 General additive model
5473      170 187.2669 182.21925 185.8408 General additive model
5474       40 191.8321 172.88011 180.8384 General additive model
5475      177 186.4388 146.70929 180.8555 General additive model
5476      253 190.3712 185.33668 190.0724 General additive model
5477      262 191.7232 193.44988 190.5163 General additive model
5478      240 192.1222 198.26606 191.6308 General additive model
5479      232 180.8857 196.94480 201.0760 General additive model
5480      261 189.7248 205.51013 207.9888 General additive model
5481      239 185.3211 179.93334 180.3920 General additive model
5482      258 190.9595 204.85896 210.0100 General additive model
5483       71 164.8029 125.06549 125.9731 General additive model
5484      217 194.1428 169.44216 174.2223 General additive model
5485      130 183.6660 192.83489 196.9723 General additive model
5486       60 175.9933 142.98354 147.0326 General additive model
5487       52 177.0084 151.56596 154.3746 General additive model
5488      261 189.6183 200.96188 207.1122 General additive model
5489       90 186.7596 201.75171 205.2618 General additive model
5490      148 190.2093 177.98580 181.6771 General additive model
5491      141 162.0345 145.50663 152.0855 General additive model
5492      234 182.0346 198.99811 198.4611 General additive model
5493      242 186.2473 179.43890 184.1259 General additive model
5494      210 187.0578 190.75764 182.8923 General additive model
5495      193 189.4358 175.86982 181.1579 General additive model
5496       30 171.6110 117.92782 112.9220 General additive model
5497      235 186.0815 182.99261 177.5706 General additive model
5498      218 184.2462 182.90812 184.5896 General additive model
5499      152 182.7526 187.41677 187.8362 General additive model
5500      214 185.9363 190.05949 194.7511 General additive model
5501       30 177.1485 152.96840 154.9800 General additive model
5502      203 173.6643 173.73024 174.1561 General additive model
5503      206 184.1123 184.77361 187.5428 General additive model
5504      238 193.3553 175.09498 178.4551 General additive model
5505      187 182.0592 179.60478 174.1391 General additive model
5506      155 173.0953 144.60114 144.1909 General additive model
5507      161 174.3314 148.91964 152.5129 General additive model
5508      214 168.4169 196.06426 196.6844 General additive model
5509      151 189.4092 187.23439 184.5688 General additive model
5510      220 172.4632 212.60014 206.0494 General additive model
5511      207 189.1456 175.16342 181.7123 General additive model
5512      227 177.2064 204.07346 216.0132 General additive model
5513      180 165.0301 157.15393 161.1558 General additive model
5514      199 177.4160 171.49831 179.7407 General additive model
5515      202 194.5205 170.51715 174.9892 General additive model
5516      266 190.8207 215.86441 208.4212 General additive model
5517      236 187.6172 191.76871 189.7798 General additive model
5518      211 178.9506 251.01738 266.9951 General additive model
5519      135 190.8108 174.47749 181.2236 General additive model
5520      144 182.2165 185.83560 184.1759 General additive model
5521      111 186.3777 215.09926 207.1204 General additive model
5522      207 173.1532 177.44131 175.6362 General additive model
5523      222 193.3461 197.46664 193.4889 General additive model
5524      224 176.2613 223.33324 230.3882 General additive model
5525      259 192.1066 193.58378 190.2506 General additive model
5526      173 175.4356 156.03399 162.2850 General additive model
5527      124 187.8058 225.96473 218.0754 General additive model
5528      221 172.0500 201.93933 195.4505 General additive model
5529      192 187.3463 184.99894 182.6950 General additive model
5530      211 187.6689 184.41080 180.3701 General additive model
5531      146 165.0886 142.38481 144.5826 General additive model
5532      154 176.2635 152.88226 158.7584 General additive model
5533       30 184.6333 187.70707 186.8495 General additive model
5534      227 177.1796 212.65058 224.4707 General additive model
5535      106 192.1131 170.55306 180.6933 General additive model
5536      211 175.4807 180.89093 187.9279 General additive model
5537      235 187.0006 178.64687 179.8601 General additive model
5538      221 183.9110 181.17489 179.5294 General additive model
5539      121 195.7706 169.83630 176.4080 General additive model
5540      106 169.6046 126.06513 117.2940 General additive model
5541      251 190.0500 191.38238 194.7579 General additive model
5542      244 189.5118 185.24516 189.4565 General additive model
5543      237 183.6293 191.88051 183.5032 General additive model
5544      142 187.1974 202.74059 205.4836 General additive model
5545      265 188.6527 211.06333 181.5034 General additive model
5546      197 187.2454 187.12138 182.8669 General additive model
5547      237 190.4924 189.66046 187.3374 General additive model
5548      194 184.3541 188.14945 193.0174 General additive model
5549      210 185.8281 205.34841 195.9694 General additive model
5550      225 193.2183 227.44022 219.5229 General additive model
5551      104 182.0140 188.28130 187.2193 General additive model
5552      175 181.0638 176.22695 170.0244 General additive model
5553      232 184.2570 196.46410 187.7818 General additive model
5554       93 196.0245 173.46479 177.5420 General additive model
5555      188 185.3698 191.68116 195.2309 General additive model
5556      193 181.8619 178.44541 172.1799 General additive model
5557      197 172.0557 228.72790 222.7128 General additive model
5558      228 188.6107 175.78475 184.5665 General additive model
5559      216 189.1958 174.60804 183.5405 General additive model
5560      185 180.6790 174.40009 168.7456 General additive model
5561      137 184.0358 192.91337 197.1099 General additive model
5562      113 185.7730 183.91603 181.4584 General additive model
5563      156 195.3675 171.10611 176.7204 General additive model
5564      222 174.6898 201.58642 203.8090 General additive model
5565      176 174.3122 154.70301 158.2662 General additive model
5566      265 190.1650 201.46174 198.6276 General additive model
5567      168 186.5230 186.15769 182.4306 General additive model
5568      114 185.2121 188.74360 187.0406 General additive model
5569      242 188.5397 193.12479 186.4840 General additive model
5570      186 186.2917 190.84144 188.0594 General additive model
5571      203 176.2267 172.67922 181.3076 General additive model
5572      215 166.7167 184.59905 188.7065 General additive model
5573      183 187.8864 210.02883 207.9826 General additive model
5574       30 167.8881 116.86838 108.3807 General additive model
5575      201 179.3960 173.47879 174.5872 General additive model
5576      226 188.7403 218.85469 208.3623 General additive model
5577      227 193.7524 172.32856 178.6158 General additive model
5578       40 196.2581 198.23845 194.0544 General additive model
5579      232 180.8224 195.50907 199.3459 General additive model
5580      225 176.5665 205.24006 215.2530 General additive model
5581      203 194.5042 172.26538 176.3261 General additive model
5582      220 171.8154 207.11711 200.3388 General additive model
5583      111 161.8942 138.27338 144.9753 General additive model
5584      243 187.4342 186.68765 192.3669 General additive model
5585       30 181.6580 190.64028 189.5974 General additive model
5586       30 175.9208 142.26999 146.3230 General additive model
5587      222 180.1593 183.99755 186.1067 General additive model
5588      192 194.2324 199.78164 194.7475 General additive model
5589      230 193.5459 193.90379 192.0941 General additive model
5590      185 189.6157 176.14471 181.1253 General additive model
5591      261 190.6403 211.45457 201.5566 General additive model
5592      232 186.1064 184.05640 177.8846 General additive model
5593      216 192.4751 198.90422 188.8408 General additive model
5594      221 191.2376 187.98836 186.3536 General additive model
5595      221 180.0009 184.08915 187.0445 General additive model
5596      263 191.2165 197.79696 193.5259 General additive model
5597      228 193.7155 181.36213 182.4654 General additive model
5598       76 178.8932 167.02289 164.2260 General additive model
5599      208 166.0692 174.74054 178.5957 General additive model
5600       95 195.8575 176.90922 182.4344 General additive model
5601      259 190.2687 216.50574 205.2032 General additive model
5602      234 184.7423 180.38425 179.5365 General additive model
5603      193 181.2813 176.47313 169.9532 General additive model
5604      234 188.9566 177.50692 187.1313 General additive model
5605      261 191.9544 197.11211 192.5072 General additive model
5606      153 195.3632 176.57651 181.2643 General additive model
5607       78 188.1495 229.50115 221.9819 General additive model
5608      120 163.8648 135.96330 140.4280 General additive model
5609       84 185.5272 184.06993 181.7581 General additive model
5610      224 184.6178 182.58220 185.1787 General additive model
5611      194 188.6705 181.81930 181.0081 General additive model
5612      228 187.9471 191.06745 184.8445 General additive model
5613        3 186.2795 240.99584 222.0351 General additive model
5614      241 187.5229 177.68520 185.1403 General additive model
5615      242 187.1510 178.22010 184.9475 General additive model
5616      248 189.9606 192.43901 187.6597 General additive model
5617      228 180.5384 189.51026 192.1675 General additive model
5618      170 168.2204 150.38257 144.8528 General additive model
5619      242 189.7231 186.61335 188.4541 General additive model
5620       94 186.6635 238.41268 220.0590 General additive model
5621      115 195.7736 171.16272 177.5296 General additive model
5622      166 186.5574 185.15761 181.9147 General additive model
5623      264 190.0765 205.44032 209.2210 General additive model
5624      166 192.4996 180.28143 183.1806 General additive model
5625      183 157.9398 161.00606 155.3196 General additive model
5626      230 187.2036 179.49101 179.2722 General additive model
5627      231 180.6251 196.00568 200.9908 General additive model
5628      258 192.1341 206.02981 199.5349 General additive model
5629      172 184.1986 190.56074 195.4146 General additive model
5630      181 195.0062 167.78475 173.3619 General additive model
5631      216 173.7634 189.76811 189.2476 General additive model
5632      173 187.7109 210.09769 208.4321 General additive model
5633      236 184.8943 180.16537 178.7605 General additive model
5634      220 171.4911 201.52526 194.7759 General additive model
5635      239 185.1387 182.58324 176.1432 General additive model
5636      252 192.2059 185.42526 189.3700 General additive model
5637      226 189.3903 176.49846 186.3199 General additive model
5638      256 192.1373 179.73725 186.0233 General additive model
5639      134 180.9885 179.66691 174.4029 General additive model
5640      244 188.5015 180.66071 189.2590 General additive model
5641      240 187.5396 189.46020 191.8866 General additive model
5642      139 192.6517 176.63361 182.0221 General additive model
5643      250 192.7131 176.50877 181.6074 General additive model
5644      125 164.0232 136.87692 141.0899 General additive model
5645      219 179.9539 181.52006 183.5494 General additive model
5646      256 190.7245 183.92432 190.4066 General additive model
5647      210 178.7314 177.49814 183.6265 General additive model
5648      248 189.7771 185.80645 189.3420 General additive model
5649       10 181.1544 187.25269 184.0789 General additive model
5650      238 185.9107 181.27967 187.0434 General additive model
5651      217 193.9105 184.42080 187.4927 General additive model
5652       73 196.0419 165.35822 173.1159 General additive model
5653      220 188.7400 175.30033 182.8283 General additive model
5654      220 171.9565 208.49686 201.7279 General additive model
5655       40 190.1132 200.34865 195.0884 General additive model
5656      240 185.2900 182.01473 176.3392 General additive model
5657      212 188.6482 176.62031 181.0123 General additive model
5658      264 188.6601 211.83157 181.4782 General additive model
5659      229 189.5663 178.62029 187.3545 General additive model
5660      237 186.2367 180.75758 177.8826 General additive model
5661      225 188.7089 220.95193 209.0595 General additive model
5662      221 188.6404 186.42091 193.0858 General additive model
5663      183 190.3297 172.88457 181.9749 General additive model
5664      242 190.4160 191.58475 187.4029 General additive model
5665      145 195.3476 192.59836 191.2736 General additive model
5666      169 190.4231 173.54878 181.3637 General additive model
5667      175 191.3018 172.68093 182.7163 General additive model
5668      143 186.6950 216.15170 207.5171 General additive model
5669      114 195.9271 157.64548 166.0640 General additive model
5670      166 187.2527 182.69046 187.6253 General additive model
5671      222 181.5541 180.89337 175.0407 General additive model
5672      223 190.5702 182.30732 186.6908 General additive model
5673       22 192.7341 170.27619 179.8791 General additive model
5674      263 191.1250 205.26522 197.6694 General additive model
5675      253 192.4918 177.97521 182.6497 General additive model
5676      145 193.1746 184.63811 183.4327 General additive model
5677      107 190.7300 178.28618 182.2088 General additive model
5678      240 185.2861 179.91729 178.7189 General additive model
5679       71 194.1112 235.51746 232.7053 General additive model
5680      247 192.8404 188.77872 187.1731 General additive model
5681      204 189.8794 173.57786 183.2864 General additive model
5682      154 174.9203 148.07664 152.9818 General additive model
5683      221 193.6885 205.68992 201.9922 General additive model
5684      217 186.4144 192.22081 183.2180 General additive model
5685      225 193.7688 177.15415 182.7057 General additive model
5686      241 187.1692 177.84575 183.7245 General additive model
5687        5 194.9860 201.15700 190.6070 General additive model
5688      139 195.6042 167.56198 174.1660 General additive model
5689      182 187.8621 216.97576 210.7950 General additive model
5690      213 191.6836 188.11908 185.8683 General additive model
5691      144 181.4044 181.27335 176.5646 General additive model
5692      186 183.0775 184.07902 183.3916 General additive model
5693      111 193.8306 188.76685 184.2739 General additive model
5694      128 195.6158 179.23234 183.8975 General additive model
5695      187 178.3421 167.34173 171.0940 General additive model
5696      254 190.2621 194.22302 195.0562 General additive model
5697      235 183.1902 183.93502 175.4001 General additive model
5698      244 193.0629 176.02062 179.6339 General additive model
5699      202 192.5837 195.08069 187.1156 General additive model
5700       80 195.8378 220.07201 213.6639 General additive model
5701      100 177.0074 152.04669 155.3398 General additive model
5702      241 186.1361 179.79231 184.6273 General additive model
5703      170 186.8446 183.93422 181.8539 General additive model
5704       20 168.9817 114.58836 104.8962 General additive model
5705      254 190.4631 189.84533 189.2069 General additive model
5706       19 185.6758 179.61837 180.1973 General additive model
5707      229 180.4522 191.65363 195.6596 General additive model
5708      234 183.5358 182.27902 174.1048 General additive model
5709      114 186.8096 237.02624 219.5836 General additive model
5710      241 189.4647 194.79267 197.6111 General additive model
5711      199 183.9733 185.70224 188.6307 General additive model
5712      233 184.4010 180.35104 177.3424 General additive model
5713       32 179.7074 175.16942 170.2307 General additive model
5714      221 189.9113 176.77299 186.1727 General additive model
5715      149 178.1743 161.46183 162.9788 General additive model
5716      239 192.4716 195.51216 192.2540 General additive model
5717      206 172.3117 176.77028 172.2628 General additive model
5718      169 157.9237 167.28244 154.7235 General additive model
5719      236 187.1909 189.73826 192.4623 General additive model
5720      112 191.7305 170.85276 180.7425 General additive model
5721      240 185.3040 180.16591 177.6364 General additive model
5722      220 188.5338 184.52859 190.1778 General additive model
5723      243 186.7097 179.00510 185.0913 General additive model
5724      239 193.1278 178.03540 183.9782 General additive model
5725      250 189.6222 192.56348 187.8285 General additive model
5726      234 186.5979 187.57607 193.6069 General additive model
5727      233 189.6477 180.12948 187.7640 General additive model
5728      237 189.2217 206.81575 202.8108 General additive model
5729      232 182.2633 186.67852 180.4321 General additive model
5730      249 188.6107 189.53132 201.7868 General additive model
5731      230 182.2186 183.48948 176.4415 General additive model
5732       39 176.1208 144.34122 148.4115 General additive model
5733      246 192.5292 218.03194 211.7510 General additive model
5734      162 192.9329 185.56772 183.9557 General additive model
5735       41 190.5194 187.11686 186.3659 General additive model
5736      259 190.0653 217.37845 207.3685 General additive model
5737       59 184.5294 190.79619 191.2567 General additive model
5738      233 184.8722 191.58455 181.9824 General additive model
5739      153 178.8657 165.41326 164.4711 General additive model
5740      107 181.7521 186.68134 184.4198 General additive model
5741      155 192.9751 184.39039 183.5832 General additive model
5742      243 189.2012 221.58407 207.8067 General additive model
5743       23 177.3089 154.13729 156.0116 General additive model
5744      203 172.6400 230.75250 223.7801 General additive model
5745      241 188.4408 192.90969 186.2477 General additive model
5746      209 179.5713 176.43440 178.0673 General additive model
5747       20 172.9430 123.78665 123.1313 General additive model
5748      181 182.1824 180.64847 175.9864 General additive model
5749      225 184.2413 206.99347 200.9195 General additive model
5750      233 188.5073 220.25813 208.7133 General additive model
5751      156 186.8734 229.18152 222.9065 General additive model
5752      224 188.8219 195.29353 199.1559 General additive model
5753      145 176.4166 151.99690 157.4071 General additive model
5754      216 183.9625 182.20710 182.2178 General additive model
5755      189 189.9090 173.98151 181.6682 General additive model
5756      198 185.6212 191.36235 194.8938 General additive model
5757      256 192.3318 193.94055 190.4967 General additive model
5758       93 168.5706 123.59868 114.9190 General additive model
5759      175 194.6770 199.24536 194.7633 General additive model
5760      114 194.2574 196.96542 187.9067 General additive model
5761      195 174.1794 245.16368 238.5642 General additive model
5762      235 187.6224 192.02820 189.1292 General additive model
5763      198 174.1599 243.39870 237.0032 General additive model
5764      237 187.2383 177.69712 181.5340 General additive model
5765      199 194.5292 179.80897 182.4097 General additive model
5766      165 176.8653 157.70812 163.5957 General additive model
5767      178 172.1850 154.50197 150.7048 General additive model
5768      238 187.0221 178.00706 181.2825 General additive model
5769      254 190.7931 194.24271 189.1980 General additive model
5770      217 178.0453 241.94115 255.1790 General additive model
5771      189 184.8068 190.37157 195.7003 General additive model
5772      129 182.7647 190.18846 191.8564 General additive model
5773      166 193.5272 196.12115 187.4672 General additive model
5774      213 179.7565 178.39880 179.9927 General additive model
5775      203 164.4895 169.10280 175.3816 General additive model
5776      222 178.4884 188.89780 199.2619 General additive model
5777      246 192.9242 189.34309 187.6314 General additive model
5778      198 172.9249 169.85665 167.7542 General additive model
5779       12 162.4699 126.75972 132.8920 General additive model
5780      232 180.6906 198.63049 204.3647 General additive model
5781      158 189.1193 189.78330 185.5766 General additive model
5782      244 192.7567 212.69194 206.7412 General additive model
5783      132 195.7660 169.23909 174.6264 General additive model
5784      246 190.2732 193.35544 187.4084 General additive model
5785      254 192.4301 197.92018 193.4613 General additive model
5786      151 181.3779 180.12081 174.9855 General additive model
5787      226 193.8147 177.13685 179.4286 General additive model
5788       35 182.7771 193.63096 196.4895 General additive model
5789      140 186.7924 226.93820 212.0308 General additive model
5790      173 194.5673 227.07172 218.2769 General additive model
5791      225 179.1045 191.31156 200.7384 General additive model
5792      110 186.8591 227.38048 217.6266 General additive model
5793      105 190.4556 182.15363 183.5570 General additive model
5794       63 185.0507 187.11721 185.3639 General additive model
5795      214 194.1535 178.87415 181.0721 General additive model
5796      177 187.1594 211.15677 205.7436 General additive model
5797      259 191.5092 183.69189 189.2208 General additive model
5798      173 185.5827 200.38794 155.1678 General additive model
5799      219 171.9676 195.26880 188.9742 General additive model
5800      153 192.2931 175.29696 182.2552 General additive model
5801      251 190.1911 186.32768 189.6041 General additive model
5802      173 193.7792 201.36297 190.5668 General additive model
5803      205 168.4045 200.63001 203.6823 General additive model
5804      226 183.8589 180.55604 177.3017 General additive model
5805      255 190.2364 204.48324 198.7224 General additive model
5806      240 189.1269 187.15539 186.8793 General additive model
5807      229 181.0041 189.21102 189.3966 General additive model
5808      241 190.5658 192.39695 187.2916 General additive model
5809      173 182.5515 183.54203 181.3171 General additive model
5810      141 173.8995 252.08398 245.5080 General additive model
5811      238 187.2083 188.69892 192.7248 General additive model
5812      180 195.0711 163.31840 169.8382 General additive model
5813      237 183.5293 189.68921 181.1332 General additive model
5814      129 162.4570 141.29001 147.8569 General additive model
5815      124 194.3479 199.79605 189.5782 General additive model
5816        7 196.2844 180.57460 182.4331 General additive model
5817      147 185.8263 136.22640 171.8642 General additive model
5818      236 188.2550 198.81697 203.2821 General additive model
5819      233 192.9038 194.54036 192.4548 General additive model
5820      222 185.2156 200.67754 191.3136 General additive model
5821      109 179.5743 171.23696 166.8786 General additive model
5822      132 195.7526 159.82823 167.7347 General additive model
5823       52 185.0366 133.49900 161.1513 General additive model
5824      245 187.6855 181.17326 189.8385 General additive model
5825      250 189.4365 192.50822 187.9457 General additive model
5826      258 190.6397 202.63960 196.9292 General additive model
5827      151 185.5107 190.15749 188.5163 General additive model
5828      242 185.8441 179.40546 181.0384 General additive model
5829      213 179.6630 178.15226 180.1232 General additive model
5830      214 180.6705 178.41392 175.1967 General additive model
5831      245 187.5874 179.50357 188.2337 General additive model
5832      241 186.1035 179.11089 181.3494 General additive model
5833      206 179.6919 175.67966 176.2768 General additive model
5834      226 188.8815 175.61995 184.9960 General additive model
5835      236 187.5711 191.50213 190.2794 General additive model
5836      207 180.9116 176.59196 171.3479 General additive model
5837      238 186.9011 178.33349 180.5574 General additive model
5838      145 187.0317 184.21706 190.4062 General additive model
5839      210 192.3664 195.86314 187.4347 General additive model
5840      180 194.7076 193.37900 192.0420 General additive model
5841      148 184.7918 192.50511 194.8670 General additive model
5842      218 177.4237 238.46382 249.2693 General additive model
5843      225 175.7970 204.53577 211.5117 General additive model
5844      186 187.2546 204.88961 203.7152 General additive model
5845       62 185.3741 134.45184 172.4318 General additive model
5846      226 181.2684 184.33826 181.0676 General additive model
5847       20 194.2568 183.17210 181.8442 General additive model
5848      240 193.2144 173.61119 178.8745 General additive model
5849       61 196.1069 163.17551 171.3518 General additive model
5850      199 183.5209 183.95926 184.3672 General additive model
5851      211 189.4976 174.13220 183.3987 General additive model
5852       39 186.2904 184.35711 190.7201 General additive model
5853      104 185.1576 188.26371 186.5278 General additive model
5854      212 173.6034 230.47499 224.3939 General additive model
5855      247 188.1086 164.57306 191.2475 General additive model
5856       71 172.7801 126.28184 125.0693 General additive model
5857      261 189.6308 201.56931 207.2398 General additive model
5858      226 193.8696 171.12734 175.5301 General additive model
5859      237 185.3479 180.50154 183.0000 General additive model
5860      225 177.4684 224.23315 236.5542 General additive model
5861      238 184.0347 187.77059 178.5978 General additive model
5862      107 191.6416 171.21166 180.7297 General additive model
5863      249 192.7769 184.59893 184.4350 General additive model
5864      204 191.8873 186.46344 185.3415 General additive model
5865       31 195.4339 207.04302 196.3836 General additive model
5866      210 186.2312 200.73885 190.8714 General additive model
5867      165 162.4688 151.76438 158.3090 General additive model
5868      145 186.2186 162.41006 187.7331 General additive model
5869      190 186.6841 210.69284 201.3507 General additive model
5870       18 170.4174 116.27216 108.1078 General additive model
5871      146 195.5403 164.03878 171.0426 General additive model
5872      202 175.3166 172.27717 178.8850 General additive model
5873      251 190.4333 196.16866 187.3673 General additive model
5874      129 186.1996 178.54855 193.5926 General additive model
5875      133 186.3343 187.58902 196.9577 General additive model
5876      217 193.7855 207.97032 203.9618 General additive model
5877      250 189.4436 194.44344 186.8961 General additive model
5878      220 188.5604 184.75329 190.6882 General additive model
5879      163 181.6092 180.12762 175.0124 General additive model
5880       51 186.5433 233.73349 220.6080 General additive model
5881       90 179.2041 169.19528 165.5870 General additive model
5882      208 185.8641 190.95309 194.6244 General additive model
5883      263 189.7593 194.22827 206.2680 General additive model
5884      242 189.1532 188.47001 186.4001 General additive model
5885      208 189.8894 173.87327 183.8958 General additive model
5886      115 195.8223 167.61097 174.6204 General additive model
5887      226 180.7199 186.63028 187.0758 General additive model
5888      167 180.7376 175.11836 169.2063 General additive model
5889       50 186.4761 239.48005 221.2534 General additive model
5890      258 190.9119 185.50187 190.3506 General additive model
5891      203 185.9926 209.22880 200.2273 General additive model
5892      166 194.7779 200.88752 195.3977 General additive model
5893      213 185.9056 201.38532 191.6009 General additive model
5894      233 182.8312 184.77125 176.6852 General additive model
5895      228 188.3143 188.35885 184.3292 General additive model
5896      228 183.3621 180.51907 173.5130 General additive model
5897      179 173.5237 245.23079 238.0988 General additive model
5898      197 187.2660 186.01443 197.8403 General additive model
5899      247 192.8555 175.63959 181.2725 General additive model
5900      234 182.3369 198.83195 196.8583 General additive model
5901      161 181.4580 179.54525 174.1812 General additive model
5902      197 194.2986 208.86936 205.2052 General additive model
5903      211 194.1908 179.45416 183.9364 General additive model
5904      182 186.9260 179.78831 195.2241 General additive model
5905      257 192.1719 179.48842 184.4003 General additive model
5906      236 193.2063 201.21847 197.4926 General additive model
5907      247 192.8932 186.10220 185.3612 General additive model
5908      177 181.8577 179.80675 174.5217 General additive model
5909      239 193.0368 207.04796 202.1388 General additive model
5910      189 194.1083 202.75004 195.1380 General additive model
5911       82 185.7708 181.66771 180.3983 General additive model
5912      159 181.4082 179.50469 174.1330 General additive model
5913      190 177.7349 166.82669 172.9215 General additive model
5914      160 183.0697 188.05840 189.6468 General additive model
5915      139 186.3843 181.96028 181.1639 General additive model
5916      242 186.3930 180.53110 187.1813 General additive model
5917      217 171.8906 193.23507 186.9265 General additive model
5918      246 187.7417 181.07146 189.7694 General additive model
5919      194 192.8570 195.62403 187.2928 General additive model
5920      243 192.8850 204.22432 199.4388 General additive model
5921      172 185.7552 191.24937 190.1853 General additive model
5922      226 188.0927 176.51136 181.8602 General additive model
5923      223 184.9064 183.74139 188.2250 General additive model
5924      115 187.5960 232.96471 226.4828 General additive model
5925      185 176.5857 162.87095 170.3695 General additive model
5926      180 187.1693 209.68815 200.1574 General additive model
5927      154 180.1887 172.96393 167.8034 General additive model
5928      208 167.1292 177.04081 178.0455 General additive model
5929      260 190.4304 214.52864 203.6270 General additive model
5930      126 183.1724 191.83740 195.0699 General additive model
5931      219 172.9830 217.35184 211.2758 General additive model
5932      186 194.2710 201.98219 195.2895 General additive model
5933      163 174.8158 150.88799 155.7399 General additive model
5934      137 186.5911 210.53200 205.3580 General additive model
5935      184 163.3509 159.58510 166.1057 General additive model
5936      200 184.3032 186.89003 191.2769 General additive model
5937      182 181.3884 177.25353 170.9244 General additive model
5938      196 188.6694 181.01137 180.7991 General additive model
5939      209 188.4388 210.24162 206.5398 General additive model
5940      171 181.4570 178.44985 172.6109 General additive model
5941      216 174.6305 187.74059 191.0897 General additive model
5942       24 175.9683 142.94484 147.0573 General additive model
5943      249 189.7464 191.56114 187.9666 General additive model
5944      224 193.4668 191.37861 191.4483 General additive model
5945      242 186.9529 178.08724 183.1544 General additive model
5946      135 193.7797 192.09451 185.6284 General additive model
5947      112 189.2105 201.34743 194.3087 General additive model
5948      215 167.7792 190.05088 191.5919 General additive model
5949      200 171.8769 170.99411 165.6785 General additive model
5950      195 188.1611 186.97368 182.3291 General additive model
5951      242 187.8055 189.76249 191.2563 General additive model
5952       50 183.9639 193.13874 195.8464 General additive model
5953      239 186.4774 182.69649 190.3511 General additive model
5954      133 187.4156 230.22563 223.4091 General additive model
5955      129 195.7482 175.58877 179.4283 General additive model
5956       40 196.4366 154.59157 163.0093 General additive model
5957      190 180.7013 174.55271 168.9757 General additive model
5958      152 189.0884 191.66813 186.7395 General additive model
5959      196 193.4261 202.75307 192.0205 General additive model
5960       99 186.7098 237.22855 220.2381 General additive model
5961      206 186.3322 180.38194 163.6738 General additive model
5962      129 169.6094 131.66190 123.1971 General additive model
5963      247 188.2093 187.06603 191.0797 General additive model
5964      235 183.7596 195.13336 187.1464 General additive model
5965      113 169.1684 127.82059 119.1141 General additive model
5966      131 192.9937 178.95030 182.0931 General additive model
5967       20 181.3074 188.29697 185.7032 General additive model
5968      175 175.3978 156.36994 162.5938 General additive model
5969       90 195.9677 167.42891 174.7453 General additive model
5970      104 193.7083 185.32635 183.1228 General additive model
5971      239 186.9080 185.73264 192.7079 General additive model
5972       58 194.7763 200.66001 190.2228 General additive model
5973      139 188.7695 201.78055 193.9809 General additive model
5974      210 194.3300 169.81072 174.3764 General additive model
5975      240 186.2554 181.05718 187.6880 General additive model
5976      176 194.5736 222.18569 214.9759 General additive model
5977      220 189.7887 176.13549 185.9156 General additive model
5978       30 177.2600 153.84522 155.6888 General additive model
5979      261 191.8213 210.43033 202.9197 General additive model
5980      174 181.8045 179.75109 174.4384 General additive model
5981      252 190.2513 185.12344 190.1731 General additive model
5982      246 188.0550 180.99759 189.6812 General additive model
5983      169 186.2428 188.36459 184.5798 General additive model
5984      208 179.3618 176.31851 179.0031 General additive model
5985      109 186.6640 185.15660 191.6301 General additive model
5986      224 180.6518 184.27967 183.9855 General additive model
5987      197 193.5988 203.40435 193.4221 General additive model
5988      236 188.1342 192.38343 186.0818 General additive model
5989      234 181.7182 196.71672 196.7048 General additive model
5990      190 188.3698 186.50691 182.4345 General additive model
5991      237 184.3876 188.16018 178.8651 General additive model
5992      223 183.1788 180.01169 173.9668 General additive model
5993      217 188.6323 199.62323 201.6213 General additive model
5994       95 175.6430 142.67422 147.2947 General additive model
5995      163 173.2101 147.96678 147.8780 General additive model
5996      115 174.4360 138.10018 141.5851 General additive model
5997      211 184.4950 185.13495 189.2458 General additive model
5998       22 196.3510 153.17614 162.2837 General additive model
5999      183 173.8068 158.44992 160.1979 General additive model
6000       60 168.7341 114.73802 105.1206 General additive model
6001      244 187.8984 186.92955 191.6299 General additive model
6002      251 192.5780 196.15006 192.3069 General additive model
6003      189 163.4567 161.62019 168.1705 General additive model
6004      166 176.1934 155.66770 162.1543 General additive model
6005      216 188.1764 184.59732 185.4936 General additive model
6006      224 192.9163 200.47465 193.0512 General additive model
6007      224 180.2648 185.93053 188.3758 General additive model
6008      215 167.3021 185.34173 187.4783 General additive model
6009      206 168.1409 198.38117 201.7183 General additive model
6010      245 189.2651 190.69758 186.1196 General additive model
6011       22 182.2083 192.28507 193.2823 General additive model
6012      216 174.4880 188.43792 191.1166 General additive model
6013      202 184.7461 188.18946 193.7526 General additive model
6014      180 187.6476 184.04933 189.8961 General additive model
6015      146 187.1332 188.34887 195.0029 General additive model
6016      104 181.3843 184.50755 180.8731 General additive model
6017      218 182.4127 179.38002 171.9261 General additive model
6018      117 183.7345 193.34683 197.3751 General additive model
6019      214 187.2746 190.45200 185.1421 General additive model
6020      119 184.9162 206.30467 149.1035 General additive model
6021      248 188.7926 188.13770 189.9243 General additive model
6022      195 187.9759 229.12033 213.4463 General additive model
6023       76 184.8758 189.11398 188.1927 General additive model
6024      137 186.9658 186.03172 192.6195 General additive model
6025      225 175.3749 209.51154 214.0022 General additive model
6026      269 189.2209 208.31003 187.2153 General additive model
6027      204 185.5173 190.53252 195.3441 General additive model
6028       30 196.5858 152.25526 162.1682 General additive model
6029      212 173.7935 183.51094 183.6987 General additive model
6030      263 190.8718 212.63726 202.8160 General additive model
6031      228 180.4744 189.91482 193.0669 General additive model
6032      173 182.4534 182.98175 180.2191 General additive model
6033      239 187.7590 177.27193 185.0472 General additive model
6034      185 176.8919 163.32880 170.5653 General additive model
6035      205 168.9492 203.78533 204.9342 General additive model
6036      250 189.4052 193.55195 187.5009 General additive model
6037      233 183.8733 180.62972 174.6155 General additive model
6038      136 187.0405 191.98509 198.1825 General additive model
6039       90 187.9238 231.86519 224.8631 General additive model
6040      180 194.6519 195.85540 193.2959 General additive model
6041      234 185.4427 186.73629 178.3307 General additive model
6042      152 175.7356 150.64717 156.5018 General additive model
6043      105 191.0271 175.45970 181.4743 General additive model
6044      224 192.9799 232.80115 224.3844 General additive model
6045      191 165.0309 163.29602 167.9903 General additive model
6046      246 188.2859 181.95897 190.0261 General additive model
6047      186 183.9551 187.65743 191.4573 General additive model
6048      228 188.9255 187.08512 193.7462 General additive model
6049      194 174.0205 165.73233 167.9964 General additive model
6050      191 171.3545 164.35951 158.1896 General additive model
6051      219 193.9645 186.73128 187.0355 General additive model
6052      176 187.3886 228.97436 212.6569 General additive model
6053      162 186.9842 223.82780 216.2680 General additive model
6054      154 184.7986 192.53884 195.4074 General additive model
6055      165 158.4142 174.52882 157.2618 General additive model
6056      247 188.2325 184.92223 190.9272 General additive model
6057      197 194.5263 183.78667 185.6436 General additive model
6058      213 173.9977 185.71897 186.5549 General additive model
6059      164 184.3946 191.84941 196.5490 General additive model
6060      236 183.0706 190.86159 183.4922 General additive model
6061      238 186.9521 178.10989 181.1714 General additive model
6062      253 190.3632 187.76434 189.4269 General additive model
6063      215 172.5733 221.39685 214.5194 General additive model
6064      242 186.3721 180.07675 186.2469 General additive model
6065      243 188.7095 193.14487 185.9472 General additive model
6066      202 190.4900 174.17426 184.2534 General additive model
6067      106 183.1736 192.80754 196.2582 General additive model
6068      212 193.7020 197.24627 193.6800 General additive model
6069      163 195.0862 192.44688 193.5451 General additive model
6070      235 183.0897 197.61027 192.2104 General additive model
6071       20 176.1018 143.42337 147.1794 General additive model
6072      194 164.4531 164.67918 170.5451 General additive model
6073      226 193.7504 186.35816 186.3839 General additive model
6074      220 184.7060 183.94366 187.9581 General additive model
6075      198 187.6940 219.43600 208.6510 General additive model
6076      226 176.5920 208.86583 218.7945 General additive model
6077      248 189.0182 193.27318 187.5837 General additive model
6078      224 174.9722 203.21069 206.5515 General additive model
6079      215 188.3816 177.33149 180.6775 General additive model
6080      200 180.0993 174.32348 171.8735 General additive model
6081      183 169.3482 158.32731 151.5216 General additive model
6082      258 191.9612 180.01878 185.9477 General additive model
6083      154 187.0340 226.89134 219.8795 General additive model
6084      266 190.8392 212.78182 212.1493 General additive model
6085      196 192.7544 226.12982 220.7241 General additive model
6086      250 190.0128 186.00122 189.5461 General additive model
6087      212 186.6686 191.71569 189.9323 General additive model
6088      112 170.1971 127.22601 119.0446 General additive model
6089      203 194.3696 184.75584 186.1498 General additive model
6090      126 191.9945 170.93965 181.0516 General additive model
6091        3 185.3782 181.22701 180.1412 General additive model
6092      234 190.9451 191.81036 187.0146 General additive model
6093      197 186.0367 191.77328 192.4125 General additive model
6094      258 190.1117 217.45406 205.8861 General additive model
6095      223 186.3900 188.54751 180.5537 General additive model
6096      265 188.7477 209.95764 182.5213 General additive model
6097      264 191.4193 205.69295 198.0920 General additive model
6098      129 177.7500 157.92283 159.9432 General additive model
6099      226 176.1575 213.68794 221.3999 General additive model
6100      238 187.3601 177.42784 182.5516 General additive model
6101      174 182.2445 181.86445 178.0849 General additive model
6102      219 187.9235 204.63912 204.2947 General additive model
6103      135 185.6755 187.27185 184.3918 General additive model
6104      167 186.2280 188.25077 184.4831 General additive model
6105       79 176.2915 146.32035 150.4709 General additive model
6106      167 158.9389 178.97932 160.2964 General additive model
6107      181 187.8412 194.88902 200.0368 General additive model
6108      166 187.5640 209.09453 208.2886 General additive model
6109      190 187.9023 185.73535 192.2656 General additive model
6110      229 193.7452 174.46151 177.6054 General additive model
6111      219 187.9565 178.58417 180.0617 General additive model
6112      106 186.3838 180.46918 183.9890 General additive model
6113      233 185.2741 181.93239 186.1534 General additive model
6114      230 185.7996 185.18765 192.0867 General additive model
6115      179 172.3758 235.23882 229.9352 General additive model
6116      197 185.3559 223.41475 219.0526 General additive model
6117      156 187.3075 189.54543 196.1061 General additive model
6118      229 188.2894 188.89042 184.2713 General additive model
6119      229 180.7452 191.30429 193.7163 General additive model
6120      214 187.7647 200.61402 202.9715 General additive model
6121      169 182.2948 182.75214 179.5953 General additive model
6122      254 190.3080 195.11591 187.7546 General additive model
6123      230 188.9681 189.38227 195.5408 General additive model
6124      232 189.1843 177.81762 187.2763 General additive model
6125      221 172.3706 202.94915 196.8481 General additive model
6126      179 191.7303 175.99568 183.3791 General additive model
6127       69 190.6149 183.44169 184.4239 General additive model
6128      114 176.2679 147.68458 152.3148 General additive model
6129      246 187.8663 183.01461 190.8331 General additive model
6130      262 190.3203 215.76035 208.4226 General additive model
6131      208 180.0160 176.18028 175.2421 General additive model
6132       30 151.2823  81.59575 122.4381 General additive model
6133       20 196.4854 172.96513 176.6475 General additive model
6134      114 195.8206 168.18884 175.1088 General additive model
6135      226 176.4071 207.05565 216.3802 General additive model
6136      218 178.2907 240.04750 254.3974 General additive model
6137      188 192.3549 186.27918 184.7623 General additive model
6138      148 192.9619 182.44599 183.0714 General additive model
6139      212 168.7795 183.19790 179.8754 General additive model
6140      146 184.0897 192.60623 196.9684 General additive model
6141      191 179.5222 171.22348 170.2944 General additive model
6142      110 185.4695 132.83103 168.9004 General additive model
6143      194 164.6333 164.87931 170.4909 General additive model
6144      228 188.4229 187.64942 184.6776 General additive model
6145      162 165.1847 148.66492 151.3338 General additive model
6146       60 181.1449 186.91656 183.6356 General additive model
6147      207 170.2738 177.68841 170.9943 General additive model
6148      236 187.5523 191.59985 190.1504 General additive model
6149      193 194.4900 199.40959 198.1208 General additive model
6150      255 192.3410 198.74706 193.9745 General additive model
6151      139 186.6461 180.96226 183.3349 General additive model
6152      245 188.7423 193.42261 186.8464 General additive model
6153      188 189.6986 175.15128 181.2932 General additive model
6154       44 185.7906 182.27523 194.4036 General additive model
6155      216 186.4391 193.27101 184.0826 General additive model
6156      116 169.7956 128.28277 119.7377 General additive model
6157      147 187.2795 225.74966 218.2266 General additive model
6158       90 183.8899 193.54315 197.0146 General additive model
6159      233 185.6054 187.49708 178.9850 General additive model
6160      212 172.3422 184.67342 179.7397 General additive model
6161      176 175.5447 157.05014 163.5240 General additive model
6162      222 184.0854 181.48376 180.8764 General additive model
6163      214 186.6438 160.93121 169.5800 General additive model
6164       35 191.9434 171.26891 180.4368 General additive model
6165      239 193.2495 182.38045 182.9045 General additive model
6166      173 176.7537 159.29550 165.8314 General additive model
6167      230 186.7049 182.29125 178.3687 General additive model
6168      185 165.3610 160.13738 163.7032 General additive model
6169      236 184.9624 187.38661 178.3832 General additive model
6170      255 189.5906 218.35768 207.8133 General additive model
6171      164 162.3551 151.74397 158.2615 General additive model
6172       18 154.0670 141.24934 133.0513 General additive model
6173      244 186.9656 181.03677 189.1653 General additive model
6174      113 192.7217 173.92556 181.1483 General additive model
6175      207 166.7138 175.41110 177.4611 General additive model
6176      238 185.8307 182.14644 177.1186 General additive model
6177      226 188.8935 192.08407 197.3099 General additive model
6178       83 176.5595 148.31175 152.1414 General additive model
6179      245 187.5880 182.73728 190.8657 General additive model
6180      137 161.9611 144.85789 151.4337 General additive model
6181      263 188.2933 214.46712 177.8383 General additive model
6182      263 191.4401 204.45369 197.2302 General additive model
6183      246 187.9858 182.34713 190.4421 General additive model
6184      121 195.9404 157.90061 165.6967 General additive model
6185      173 173.1895 243.34250 236.8332 General additive model
6186      107 178.0396 159.70935 160.2445 General additive model
6187       45 189.3900 207.90857 200.3543 General additive model
6188      141 163.9280 142.83777 147.7558 General additive model
6189       37 170.6352 117.90444 110.2399 General additive model
6190      203 180.0704 175.04429 173.1783 General additive model
6191      260 191.3548 182.88115 188.3605 General additive model
6192       60 186.5053 190.36173 196.8039 General additive model
6193      112 184.2699 192.99848 195.8168 General additive model
6194      226 177.2954 219.21026 231.1741 General additive model
6195      154 175.9533 151.97579 157.9724 General additive model
6196      250 191.6593 194.65982 191.0080 General additive model
6197       21 183.3676 194.21664 197.7853 General additive model
6198      238 185.2661 179.98269 180.3171 General additive model
6199      215 189.8597 174.78791 184.9063 General additive model
6200      239 193.2933 174.48824 178.3797 General additive model
6201      234 190.5777 188.35607 187.2008 General additive model
6202      256 189.4496 212.25703 207.8101 General additive model
6203      235 185.6383 182.09016 187.6407 General additive model
6204      214 188.8731 175.31335 182.0681 General additive model
6205      237 189.7933 183.19511 188.1336 General additive model
6206      213 175.4191 183.65655 190.4041 General additive model
6207      222 180.6696 182.49151 181.2644 General additive model
6208      237 184.8148 180.22500 177.5952 General additive model
6209      250 189.9704 184.91845 190.4228 General additive model
6210      263 191.2257 202.82984 196.1742 General additive model
6211      237 184.0398 183.12418 174.9428 General additive model
6212      264 189.6339 188.18703 203.9459 General additive model
6213      216 182.4848 179.27539 172.0913 General additive model
6214      248 192.7044 201.83796 197.0702 General additive model
6215      128 169.7963 131.39304 122.9946 General additive model
6216      122 186.7464 184.85165 191.2638 General additive model
6217      183 191.0574 172.94710 183.0800 General additive model
6218      239 184.4709 182.24762 175.1470 General additive model
6219      213 191.8157 189.84438 186.0519 General additive model
6220      130 194.9351 244.47615 228.7728 General additive model
6221      162 187.3847 189.02960 195.6430 General additive model
6222      182 181.7309 178.75086 172.8626 General additive model
6223      212 186.2924 197.63431 187.8451 General additive model
6224      237 190.2979 187.09122 187.5515 General additive model
6225      249 189.5590 194.04645 186.3992 General additive model
6226      240 187.8817 177.40357 185.7614 General additive model
6227      249 189.4500 220.34257 206.9980 General additive model
6228      165 162.9481 151.47297 157.9647 General additive model
6229      215 188.3775 177.27348 180.7069 General additive model
6230      227 188.4542 223.48891 209.6505 General additive model
6231       60 188.4012 238.08051 231.8182 General additive model
6232      218 184.9944 206.39619 198.3516 General additive model
6233      224 175.1193 207.28559 210.8287 General additive model
6234       44 180.5720 181.59932 176.6522 General additive model
6235      196 180.8088 175.19693 169.6090 General additive model
6236      206 181.7002 177.69942 170.7095 General additive model
6237       76 195.7641 199.33457 194.8171 General additive model
6238      160 187.4196 196.23366 201.2082 General additive model
6239      253 192.0821 185.01347 189.2786 General additive model
6240      161 182.6916 185.94204 185.4449 General additive model
6241      160 177.0310 157.48503 162.8423 General additive model
6242      261 191.9409 184.54703 186.1514 General additive model
6243      166 189.5494 181.47714 182.0739 General additive model
6244      206 173.9985 175.87678 177.4904 General additive model
6245       40 190.3324 193.64975 190.3736 General additive model
6246       10 181.2562 187.86051 185.0394 General additive model
6247      155 195.1165 196.33844 193.4372 General additive model
6248      121 194.1393 195.64026 187.2076 General additive model
6249      118 186.3020 180.53750 181.7153 General additive model
6250      197 194.4988 184.14460 186.7692 General additive model
6251      223 191.6935 193.59717 186.8975 General additive model
6252      196 163.7852 165.44016 172.0293 General additive model
6253      158 185.0222 192.30002 194.2796 General additive model
6254      239 189.4822 182.55585 188.5647 General additive model
6255       73 196.0889 176.87668 179.9857 General additive model
6256      203 183.4968 182.97281 182.4675 General additive model
6257      216 184.1113 182.69348 183.7192 General additive model
6258      190 156.7963 147.64222 149.9687 General additive model
6259      234 182.8189 185.17282 177.1635 General additive model
6260      238 185.6108 180.35794 183.7962 General additive model
6261      175 183.1917 186.15698 187.1063 General additive model
6262      160 186.4901 172.29723 191.8681 General additive model
6263      152 170.8294 141.25609 134.3397 General additive model
6264      123 178.5844 163.57767 162.5368 General additive model
6265       49 196.1897 176.33524 179.4743 General additive model
6266      238 189.2994 186.22492 192.8758 General additive model
6267      186 172.5356 159.52234 156.6422 General additive model
6268      162 187.4120 216.86909 207.9295 General additive model
6269       48 186.5803 223.64368 217.0380 General additive model
6270      152 182.4054 185.83020 184.5881 General additive model
6271      124 186.2978 195.03187 199.5501 General additive model
6272       40 196.2706 166.08996 174.1908 General additive model
6273      121 182.1687 188.00948 187.2084 General additive model
6274      145 193.9554 197.67443 188.2747 General additive model
6275      188 174.2527 161.82348 165.0785 General additive model
6276      241 185.6556 180.71864 177.2494 General additive model
6277      237 186.9952 188.25798 193.1371 General additive model
6278      235 185.1131 187.44143 178.5222 General additive model
6279      172 188.1273 198.88190 190.6090 General additive model
6280      256 191.0506 189.07102 190.1310 General additive model
6281      134 181.4679 182.68713 178.5297 General additive model
6282       82 196.1171 167.86552 173.2197 General additive model
6283      227 180.4483 187.90262 190.3014 General additive model
6284      230 185.7342 188.93636 180.1040 General additive model
6285      239 188.9939 180.11999 188.5805 General additive model
6286      175 175.2425 155.95135 161.8971 General additive model
6287      217 187.0798 191.63871 187.8626 General additive model
6288      105 184.8297 190.63132 190.5409 General additive model
6289      246 192.4752 187.43786 190.0595 General additive model
6290      176 194.9970 183.13706 185.6090 General additive model
6291      174 171.0789 151.76427 145.2911 General additive model
6292      181 192.9529 191.87199 185.8656 General additive model
6293       89 190.8631 178.44270 182.3840 General additive model
6294      147 173.4349 142.03779 142.8444 General additive model
6295      156 177.7247 159.68900 163.0106 General additive model
6296      126 186.0997 182.31285 180.7837 General additive model
6297      156 195.4273 173.90843 178.5356 General additive model
6298      228 188.5610 185.70004 185.9689 General additive model
6299      224 188.7846 212.00318 206.0474 General additive model
6300       20 184.6343 138.62664 155.3518 General additive model
6301      160 188.4775 198.84759 191.0795 General additive model
6302      183 178.1551 166.01747 170.0910 General additive model
6303      257 189.8991 218.45192 206.8285 General additive model
6304      107 193.1234 177.22884 181.4232 General additive model
6305      239 188.6074 216.07268 207.7133 General additive model
6306      167 188.1026 201.90425 193.1891 General additive model
6307      222 192.1619 221.80041 216.0686 General additive model
6308       39 190.8617 181.82564 183.9189 General additive model
6309      168 191.3327 172.14603 182.3580 General additive model
6310      194 162.2941 163.88464 169.8647 General additive model
6311      185 187.9391 206.23712 206.1629 General additive model
6312      217 173.0634 221.51798 215.2235 General additive model
6313       41 185.0735 130.17887 164.0800 General additive model
6314      215 174.0607 187.26099 188.2205 General additive model
6315       40 181.2858 188.10889 185.4168 General additive model
6316       92 195.9882 164.00293 171.8392 General additive model
6317      170 163.9260 153.34655 159.0431 General additive model
6318      239 186.7061 184.54370 192.1239 General additive model
6319      188 187.3419 201.93101 192.4656 General additive model
6320      159 193.9876 201.47072 190.6626 General additive model
6321      165 184.6598 192.17244 196.4304 General additive model
6322      148 191.0087 172.21249 181.2234 General additive model
6323       70 178.1257 161.59893 160.8243 General additive model
6324      239 189.2829 184.84940 190.4232 General additive model
6325      215 187.3515 190.45455 185.0152 General additive model
6326      238 193.3092 182.50536 183.0071 General additive model
6327      151 181.6390 181.72154 177.3256 General additive model
6328       30 174.9887 134.94451 138.7833 General additive model
6329      178 186.5883 220.42153 212.6964 General additive model
6330      140 187.0654 235.27076 218.2243 General additive model
6331      224 185.5777 194.59794 184.8166 General additive model
6332       40 196.1691 180.92394 186.1587 General additive model
6333       47 195.7608 209.56788 206.7223 General additive model
6334      196 179.3645 171.94256 172.4040 General additive model
6335      171 190.1099 175.29774 181.2296 General additive model
6336      251 190.0716 185.31318 190.0144 General additive model
6337      237 189.2808 194.50874 197.9100 General additive model
6338      237 188.9392 223.47657 208.9667 General additive model
6339      101 196.0545 161.95210 168.7412 General additive model
6340      126 186.0414 182.82338 180.8869 General additive model
6341      249 189.0187 192.03773 188.4114 General additive model
6342      220 191.6157 191.52298 186.5182 General additive model
6343      246 192.8688 176.35771 182.5445 General additive model
6344      249 189.7816 187.46284 188.4578 General additive model
6345      110 185.9570 182.06041 180.6169 General additive model
6346      187 181.0303 175.67983 169.4288 General additive model
6347      234 188.8437 223.86287 209.3168 General additive model
6348      230 185.8903 185.81085 192.7585 General additive model
6349      224 177.3238 225.19624 236.9031 General additive model
6350      266 190.8789 214.59756 211.2667 General additive model
6351      212 192.6190 198.96738 188.8860 General additive model
6352       73 194.6489 199.88844 189.6900 General additive model
6353       98 157.6929 147.69049 144.5862 General additive model
6354      247 189.3176 193.07780 186.0192 General additive model
6355      210 186.9263 192.53433 184.0094 General additive model
6356      249 190.3274 194.91066 187.3061 General additive model
6357      260 190.1794 217.35128 206.4552 General additive model
6358      127 190.2936 181.02309 182.8391 General additive model
6359      189 173.7668 244.57657 237.3670 General additive model
6360      120 186.8195 188.43511 195.0651 General additive model
6361      214 190.1702 175.75587 185.4196 General additive model
6362      217 168.9517 192.71154 190.3216 General additive model
6363      188 190.8220 173.02462 183.2741 General additive model
6364      197 188.0389 228.17916 213.1217 General additive model
6365      237 185.2451 185.02942 177.1369 General additive model
6366      198 189.7784 173.77815 182.1698 General additive model
6367       20 194.0380 177.68131 180.2014 General additive model
6368      153 180.6162 175.60191 169.8609 General additive model
6369      212 168.1532 195.93044 197.8221 General additive model
6370      250 191.8476 193.47641 191.2740 General additive model
6371      176 195.0472 174.78367 179.2005 General additive model
6372      110 168.7395 126.94636 118.4132 General additive model
6373      255 188.1477 165.96712 185.5104 General additive model
6374      228 182.2465 182.54815 175.2128 General additive model
6375      215 174.0800 188.14238 189.1010 General additive model
6376      247 190.1323 192.79396 187.5186 General additive model
6377      252 190.2314 189.82674 188.7349 General additive model
6378      202 183.6989 183.92833 184.8264 General additive model
6379      215 190.7876 180.07943 185.9355 General additive model
6380      115 176.7888 151.05241 155.0243 General additive model
6381      104 162.6991 135.24539 141.4823 General additive model
6382       66 186.6580 204.02624 206.7744 General additive model
6383      160 194.9083 200.70853 195.3881 General additive model
6384      195 179.7964 172.62947 170.9070 General additive model
6385      216 194.1105 177.03401 179.5889 General additive model
6386      142 192.1866 173.08149 181.7438 General additive model
6387      137 177.2220 155.16714 158.9160 General additive model
6388      144 195.6466 161.61953 168.7411 General additive model
6389      237 188.9673 178.51641 187.8071 General additive model
6390      174 191.3225 172.70285 182.7094 General additive model
6391      198 178.3949 171.48105 176.7153 General additive model
6392      140 190.5406 176.27433 181.4709 General additive model
6393      187 171.5078 226.66053 222.8076 General additive model
6394      247 189.6527 187.46820 188.1550 General additive model
6395      190 183.5751 185.64653 187.3827 General additive model
6396      235 182.2808 192.48898 188.2465 General additive model
6397      184 187.0646 190.98112 199.0689 General additive model
6398      239 187.2222 187.70260 192.7671 General additive model
6399      231 193.5830 185.88321 185.7647 General additive model
6400      204 182.6683 180.01781 174.8323 General additive model
6401      229 183.8090 203.31149 197.4106 General additive model
6402      235 193.4770 181.69941 182.5187 General additive model
6403      189 190.9822 173.76702 183.6148 General additive model
6404      216 177.9935 182.41179 192.1800 General additive model
6405      161 178.5964 164.50629 165.1736 General additive model
6406      226 176.6382 202.56741 212.9140 General additive model
6407      190 186.6512 189.68308 185.3655 General additive model
6408      208 179.0652 175.85967 179.8301 General additive model
6409      193 184.0895 187.10312 191.0315 General additive model
6410      174 181.1174 176.60048 170.4233 General additive model
6411      254 191.9103 187.07054 190.0949 General additive model
6412      245 189.4964 186.53730 188.2595 General additive model
6413      201 190.0678 173.36384 183.3083 General additive model
6414      244 190.0631 190.08310 187.8173 General additive model
6415      216 188.0551 185.65195 184.3180 General additive model
6416      217 188.4196 176.68005 181.0862 General additive model
6417      163 182.5492 185.11600 183.8236 General additive model
6418      191 176.9266 166.10861 173.8971 General additive model
6419      118 189.0015 204.23890 196.4691 General additive model
6420      182 194.2459 203.66438 195.3249 General additive model
6421      217 173.6437 191.31373 190.1527 General additive model
6422      156 184.6925 192.56265 196.0329 General additive model
6423      233 184.6602 193.32941 183.8215 General additive model
6424      185 187.0326 185.80653 182.3407 General additive model
6425      112 172.7878 131.37496 130.1327 General additive model
6426      149 186.7342 181.34425 182.8490 General additive model
6427      168 178.3286 163.96427 166.1029 General additive model
6428       34 191.8238 171.97040 180.6186 General additive model
6429       70 196.1312 157.81820 166.6169 General additive model
6430      229 180.9967 188.17773 187.9348 General additive model
6431      105 172.1758 128.56427 125.3004 General additive model
6432      232 181.2724 192.20548 192.3947 General additive model
6433       28 160.5347 133.72247 139.8912 General additive model
6434       18 195.0136 202.16760 191.3345 General additive model
6435       41 179.5743 173.63649 168.9302 General additive model
6436      249 189.7106 192.69094 186.8264 General additive model
6437      231 180.2808 198.55979 206.0748 General additive model
6438      224 175.9532 220.07524 226.0276 General additive model
6439      251 190.0591 185.96382 192.3603 General additive model
6440      226 180.5591 186.50875 187.7179 General additive model
6441       30 164.9108 116.64865 116.1272 General additive model
6442       88 191.1454 175.24153 181.4536 General additive model
6443      233 188.7466 224.77613 209.7300 General additive model
6444      188 170.7561 161.95832 155.0106 General additive model
6445      115 188.1501 221.82353 213.3290 General additive model
6446      117 160.6933 142.47519 148.0845 General additive model
6447      149 176.6795 153.79412 159.0600 General additive model
6448      213 186.4745 191.63615 191.8275 General additive model
6449      118 188.0217 223.42521 215.1169 General additive model
6450      132 171.2636 133.34500 127.3412 General additive model
6451      188 194.6848 191.65396 192.2862 General additive model
6452       74 189.7109 198.10946 192.5608 General additive model
6453      133 177.2886 155.21549 158.6358 General additive model
6454      197 190.9475 175.38010 184.3713 General additive model
6455      177 188.7593 187.76260 183.7575 General additive model
6456      246 192.8404 195.01613 191.7967 General additive model
6457      224 191.2176 189.35180 186.5353 General additive model
6458      227 180.2368 189.48564 193.6177 General additive model
6459      237 187.3775 177.40205 182.6127 General additive model
6460      199 172.2379 170.08473 165.7537 General additive model
6461      189 174.0353 162.95528 165.3864 General additive model
6462      170 173.2167 150.76494 150.6192 General additive model
6463      231 186.5249 182.76040 178.1761 General additive model
6464      167 195.3372 160.00265 167.4251 General additive model
6465      171 195.2203 173.37070 178.3519 General additive model
6466      162 182.2685 183.70028 181.0520 General additive model
6467       70 192.0691 170.36034 180.3889 General additive model
6468      181 161.8266 158.54893 164.2728 General additive model
6469      255 190.6015 184.42426 190.8370 General additive model
6470      119 179.8900 173.15227 168.2115 General additive model
6471      222 179.7337 184.72549 189.2662 General additive model
6472      226 176.3779 215.94403 224.4284 General additive model
6473      196 178.9917 171.64442 174.0541 General additive model
6474      233 183.4467 181.52641 173.6772 General additive model
6475       30 184.2875 191.30185 192.3694 General additive model
6476      227 189.8648 178.77407 187.0431 General additive model
6477      137 187.7437 221.85022 213.4118 General additive model
6478      238 193.3233 176.41570 179.1708 General additive model
6479      244 189.3487 187.34580 187.4197 General additive model
6480       51 177.3463 154.35878 156.3400 General additive model
6481      244 188.6389 205.66942 205.5367 General additive model
6482       10 182.6401 194.36625 197.1535 General additive model
6483      231 187.9342 191.85778 185.6972 General additive model
6484      229 187.5485 178.05805 180.2996 General additive model
6485      204 192.3909 193.65289 186.6719 General additive model
6486      187 164.2396 160.90108 166.7274 General additive model
6487      195 176.2215 168.31104 176.5412 General additive model
6488      258 191.6286 184.46593 189.3918 General additive model
6489      201 179.3253 173.27767 174.6776 General additive model
6490      156 191.8215 172.72801 182.1396 General additive model
6491      106 188.3885 219.43799 210.7901 General additive model
6492      227 182.0093 183.21027 176.6667 General additive model
6493      187 188.6212 185.46761 182.3399 General additive model
6494      264 191.1725 214.17436 214.1228 General additive model
6495      241 188.4242 192.80326 186.0654 General additive model
6496      167 185.5825 191.46320 191.0387 General additive model
6497      215 178.2738 181.29352 190.1765 General additive model
6498      239 188.0793 177.56805 186.4995 General additive model
6499      252 191.3578 195.30041 190.3478 General additive model
6500      216 168.2321 191.55249 191.6380 General additive model
6501      112 186.3945 180.40002 183.2061 General additive model
6502      155 194.2321 203.56239 192.4412 General additive model
6503       81 195.8734 182.27964 186.7703 General additive model
6504       90 183.2404 193.41520 197.0581 General additive model
6505      214 182.5030 179.22666 172.2945 General additive model
6506      109 185.7886 183.40683 181.1509 General additive model
6507      237 184.1133 189.18362 179.9423 General additive model
6508      196 191.1430 176.04763 184.3235 General additive model
6509      220 193.8912 180.59161 185.0390 General additive model
6510       94 174.2906 134.69357 137.7471 General additive model
6511      166 185.5254 191.54575 191.3505 General additive model
6512      244 187.1229 181.40078 189.7425 General additive model
6513      199 187.5510 208.38827 205.0417 General additive model
6514      105 180.9442 181.59286 176.7760 General additive model
6515      239 185.0443 180.07451 178.3611 General additive model
6516      222 177.2149 193.10577 204.5786 General additive model
6517      208 185.7393 190.75895 194.9616 General additive model
6518      246 189.0312 218.66755 208.1934 General additive model
6519      138 189.4031 191.37373 187.1031 General additive model
6520      152 190.0180 179.41622 181.9230 General additive model
6521      235 182.6593 199.55773 196.4974 General additive model
6522      240 187.4612 189.05332 192.1697 General additive model
6523      242 188.9926 190.52757 185.5263 General additive model
6524      143 176.5526 152.34208 157.5298 General additive model
6525      256 190.8260 184.60136 190.0279 General additive model
6526      247 188.1654 185.64763 191.1217 General additive model
6527      256 192.3317 180.77606 183.6430 General additive model
6528      176 173.7909 154.41996 156.2287 General additive model
6529      254 190.4593 194.71919 188.2419 General additive model
6530      242 187.5119 186.33145 192.2066 General additive model
6531      183 186.9521 182.97075 196.3131 General additive model
6532      217 193.8621 186.82117 188.9500 General additive model
6533      213 187.6511 188.24256 183.4430 General additive model
6534      248 189.1849 194.12691 186.5903 General additive model
6535      255 192.3188 202.40316 196.8282 General additive model
6536      119 169.5974 128.67953 120.0494 General additive model
6537      105 186.8310 205.09553 207.2623 General additive model
6538      115 182.8036 191.26871 193.4422 General additive model
6539      130 177.9333 159.12654 160.5731 General additive model
6540      243 188.1142 190.74359 190.1982 General additive model
6541      198 186.9235 201.59947 191.8908 General additive model
6542      168 195.2468 165.37009 171.7059 General additive model
6543      207 194.2321 182.05064 185.6655 General additive model
6544      220 188.6868 203.63246 203.2449 General additive model
6545      219 188.7331 175.36503 182.5163 General additive model
6546      121 180.7639 179.36512 174.0696 General additive model
6547      171 192.8042 185.91842 184.1867 General additive model
6548      242 186.6576 180.70643 188.1600 General additive model
6549      226 177.5844 222.00905 234.8361 General additive model
6550      164 185.5410 191.36957 190.8585 General additive model
6551      246 188.7070 193.16328 187.4585 General additive model
6552      227 189.3604 176.64206 186.4312 General additive model
6553      216 179.6945 180.16627 182.9092 General additive model
6554      261 190.0819 215.57137 208.3453 General additive model
6555      219 187.5282 190.53230 184.8337 General additive model
6556       53 169.0131 117.97609 108.5557 General additive model
6557      259 188.0084 215.15599 175.2048 General additive model
6558      195 173.8894 166.77533 168.4900 General additive model
6559      220 187.5336 171.65148 193.7567 General additive model
6560      220 175.5488 193.81567 200.5605 General additive model
6561      155 171.9481 143.06316 138.8574 General additive model
6562      149 159.3503 152.36874 153.4055 General additive model
6563      177 186.2941 189.54882 185.9142 General additive model
6564       20 170.5595 114.44069 106.5264 General additive model
6565      119 195.9508 156.96175 164.9887 General additive model
6566      162 195.2845 178.91271 182.3646 General additive model
6567      130 170.6668 132.42507 125.1134 General additive model
6568      226 193.2783 193.44240 192.2674 General additive model
6569      172 175.9422 156.95143 163.6963 General additive model
6570      200 194.6413 164.58019 171.1017 General additive model
6571      125 194.0270 194.60599 186.7042 General additive model
6572       85 169.9017 121.85557 113.1042 General additive model
6573      216 185.8563 189.56594 194.8359 General additive model
6574      262 190.4984 216.29284 206.2896 General additive model
6575      253 190.3072 193.30986 188.1771 General additive model
6576      199 176.9070 170.26969 178.8665 General additive model
6577       36 179.3857 172.21102 167.8463 General additive model
6578      263 190.7237 214.73657 204.6423 General additive model
6579      215 184.6425 184.94421 189.3665 General additive model
6580      233 187.8294 192.25845 186.9286 General additive model
6581      207 194.1938 192.52553 192.1423 General additive model
6582      116 169.4893 128.09709 119.4016 General additive model
6583      215 184.5426 214.04049 209.2286 General additive model
6584       59 191.4417 173.91714 181.1448 General additive model
6585      200 194.4327 186.19893 187.4372 General additive model
6586      258 188.2526 170.42203 184.9848 General additive model
6587      183 174.6574 158.71759 163.3380 General additive model
6588      244 190.6684 194.89063 187.3307 General additive model
6589      161 195.0763 193.95693 194.7058 General additive model
6590      216 189.3418 174.48466 183.8515 General additive model
6591      231 183.8123 200.24006 193.4182 General additive model
6592      245 190.5430 194.09935 187.3139 General additive model
6593      178 169.1340 155.18079 148.4285 General additive model
6594      244 188.9371 182.82955 189.4781 General additive model
6595      257 190.2554 211.86174 201.8943 General additive model
6596       70 196.1783 154.38195 163.3286 General additive model
6597       20 167.1013 112.91947 105.5174 General additive model
6598      207 174.2782 177.24203 179.8954 General additive model
6599      237 185.8929 181.41058 187.2259 General additive model
6600      151 187.0159 233.08795 215.0947 General additive model
6601       62 185.7552 168.62712 189.2792 General additive model
6602      219 185.8340 188.83407 194.6622 General additive model
6603      148 195.1942 197.25406 193.8810 General additive model
6604       25 185.4929 181.03114 180.0793 General additive model
6605      197 170.8124 168.81743 161.9285 General additive model
6606       87 170.2179 122.54445 114.2319 General additive model
6607      219 172.1684 210.80604 204.0741 General additive model
6608      208 173.1201 230.11423 223.2229 General additive model
6609      133 161.9197 143.69399 150.2904 General additive model
6610      230 186.7075 189.70096 193.4397 General additive model
6611      229 189.3699 177.31351 186.8724 General additive model
6612      218 193.8876 184.09391 187.3127 General additive model
6613      243 187.1350 183.05662 191.1369 General additive model
6614      208 172.5480 227.41501 220.4314 General additive model
6615      200 180.6283 175.23325 170.5153 General additive model
6616       95 179.4580 171.01599 166.7927 General additive model
6617      241 186.5168 178.63772 180.9034 General additive model
6618      249 192.7544 192.04151 189.4437 General additive model
6619      157 187.3538 192.79552 198.7690 General additive model
6620      206 173.5487 234.47481 227.8295 General additive model
6621      178 181.9754 180.14819 175.0809 General additive model
6622      220 172.1873 197.76792 191.6742 General additive model
6623       20 185.1022 132.27866 170.8609 General additive model
6624      254 190.5666 187.20868 189.7670 General additive model
6625      244 192.1579 195.97092 191.8512 General additive model
6626      267 189.9021 209.52210 193.6641 General additive model
6627      163 184.3468 191.80850 196.5280 General additive model
6628      153 182.5578 186.41193 185.8282 General additive model
6629       27 185.3729 182.01662 180.5394 General additive model
6630      195 173.5297 166.61761 166.9572 General additive model
6631      232 181.4079 194.14040 194.5141 General additive model
6632       70 185.4220 135.71309 173.4420 General additive model
6633      244 187.9366 187.52934 191.5394 General additive model
6634       59 196.0534 169.56712 176.7201 General additive model
6635      193 191.8247 181.18914 184.4315 General additive model
6636      181 182.1748 180.74450 176.1480 General additive model
6637      221 177.7480 235.80050 248.3642 General additive model
6638       28 186.4834 220.30380 215.7987 General additive model
6639      212 170.4155 184.89752 178.3676 General additive model
6640      235 192.5277 198.04367 192.4899 General additive model
6641      174 192.9251 189.00852 184.9605 General additive model
6642      213 187.2212 157.28305 187.2417 General additive model
6643      175 175.8661 157.57771 164.3765 General additive model
6644      241 186.0274 179.25344 179.8775 General additive model
6645      126 190.7888 175.83579 181.4799 General additive model
6646      218 188.7494 175.33541 182.5333 General additive model
6647      147 161.9890 147.43152 153.9371 General additive model
6648      231 185.4113 183.32906 189.0000 General additive model
6649      175 165.1360 154.55658 158.0188 General additive model
6650      221 184.9840 203.19493 194.5210 General additive model
6651      165 164.1964 150.86076 155.9427 General additive model
6652      154 187.2426 233.18504 217.3722 General additive model
6653      245 188.6541 193.08255 187.5298 General additive model
6654      228 182.5469 182.02256 174.0913 General additive model
6655       22 193.8770 181.70420 181.7298 General additive model
6656      224 176.6972 197.44212 208.0224 General additive model
6657      116 190.4662 180.45325 182.8027 General additive model
6658      209 184.7736 218.32749 214.1501 General additive model
6659      239 186.4386 183.13263 190.7641 General additive model
6660      261 190.1760 216.36931 207.9882 General additive model
6661      101 195.9209 165.64735 173.1295 General additive model
6662      222 175.6436 197.15870 204.0668 General additive model
6663      228 180.6064 189.61884 191.9834 General additive model
6664      153 173.2929 143.62253 143.9214 General additive model
6665      219 171.3386 195.50132 188.7614 General additive model
6666      262 188.2617 216.55389 177.3373 General additive model
6667      253 191.4179 193.45588 190.6184 General additive model
6668      149 170.6729 139.90022 132.7074 General additive model
6669      213 186.9441 189.57010 181.9417 General additive model
6670      183 176.9396 162.98614 170.0642 General additive model
6671      224 177.1061 196.83155 208.3443 General additive model
6672      201 188.2904 205.15383 204.8842 General additive model
6673      246 190.5262 194.72656 187.3242 General additive model
6674      135 191.8134 171.02786 181.2433 General additive model
6675      226 177.1619 201.87121 213.6648 General additive model
6676      226 187.6631 191.43344 185.6615 General additive model
6677      159 195.4130 169.84153 175.4402 General additive model
6678      106 192.0327 170.50655 180.6899 General additive model
6679      192 190.1749 173.02033 182.5438 General additive model
6680      140 178.4888 162.93490 162.8809 General additive model
6681      208 188.1460 181.47184 180.2197 General additive model
6682      226 184.3985 203.57052 196.1367 General additive model
6683      179 194.8915 184.51497 186.8974 General additive model
6684      230 181.0003 190.42500 191.1724 General additive model
6685      236 187.8267 176.81728 183.8615 General additive model
6686      202 165.3035 169.44075 174.3431 General additive model
6687      214 179.6739 178.86997 181.1219 General additive model
6688      181 194.2907 235.31768 223.8142 General additive model
6689      201 194.5576 173.12272 177.0653 General additive model
6690      209 189.3696 174.35009 182.4785 General additive model
6691       40 181.2048 187.44957 184.4175 General additive model
6692       43 195.1526 205.44360 194.1680 General additive model
6693      220 176.8202 189.60614 200.2555 General additive model
6694      133 170.2294 133.68461 125.7500 General additive model
6695      127 182.4554 189.04385 189.4135 General additive model
6696      215 170.7932 188.80757 182.1260 General additive model
6697      232 192.4759 200.14526 192.0125 General additive model
6698      244 192.9231 176.36027 182.5803 General additive model
6699      154 190.8296 172.65918 181.2712 General additive model
6700      261 191.3450 189.01058 189.6371 General additive model
6701      138 195.5016 180.11843 184.4153 General additive model
6702      230 180.3024 196.10153 202.5998 General additive model
6703      157 177.1317 157.35099 162.3294 General additive model
6704      213 188.3761 184.77247 190.8051 General additive model
6705      105 181.1082 182.71479 178.2698 General additive model
6706      188 194.3576 199.20747 194.6351 General additive model
6707      218 189.3961 174.83299 184.6509 General additive model
6708      258 192.1882 198.66035 193.7289 General additive model
6709      263 190.4718 216.37306 207.4437 General additive model
6710      218 178.4205 185.16425 194.7298 General additive model
6711      112 178.2457 161.21784 161.1422 General additive model
6712       89 177.9640 159.26202 159.7045 General additive model
6713      240 186.6665 183.61634 191.4128 General additive model
6714      235 190.7226 190.55142 187.1215 General additive model
6715      235 187.8776 176.67012 183.4169 General additive model
6716      198 185.7714 217.22072 210.1550 General additive model
6717      248 192.8236 182.98988 183.4463 General additive model
6718      235 184.4856 180.34502 176.9041 General additive model
6719      228 179.6596 194.83564 203.5002 General additive model
6720      237 185.5664 180.71005 184.5497 General additive model
6721      241 187.7310 178.00043 186.4364 General additive model
6722      246 189.7183 194.40177 196.7964 General additive model
6723      219 171.9818 209.65285 202.8681 General additive model
6724       42 177.2287 153.38613 155.6150 General additive model
6725      232 186.4872 187.70386 193.7545 General additive model
6726      243 189.9742 188.82184 188.0039 General additive model
6727      249 189.0324 189.66899 189.2366 General additive model
6728      237 184.8745 180.29013 177.1900 General additive model
6729      116 191.4395 171.75220 180.8632 General additive model
6730      230 184.9058 181.69547 184.3036 General additive model
6731      241 186.3842 180.47684 187.0576 General additive model
6732      198 177.7223 170.99244 178.4179 General additive model
6733      248 188.4253 187.00116 190.6968 General additive model
6734      205 193.0388 201.35324 190.6345 General additive model
6735       82 153.9482 139.87305 133.8298 General additive model
6736      139 184.8933 192.04282 193.2805 General additive model
6737      236 184.2141 191.48216 182.2424 General additive model
6738       89 185.5562 138.36508 175.3459 General additive model
6739      245 188.9590 192.86623 185.6317 General additive model
6740      238 186.5524 179.19851 179.2744 General additive model
6741      233 187.4377 177.74323 180.8092 General additive model
6742      230 185.8168 185.21477 192.1343 General additive model
6743      156 179.8798 171.10961 166.7490 General additive model
6744      213 171.5675 185.28540 178.8599 General additive model
6745      218 180.3155 180.38482 179.9733 General additive model
6746      199 190.3547 173.39341 183.6477 General additive model
6747      209 168.1924 197.54616 200.0083 General additive model
6748      210 172.3325 224.16416 217.2507 General additive model
6749      225 185.5561 185.92344 192.5266 General additive model
6750      258 188.9146 177.86525 198.6469 General additive model
6751      212 184.0039 183.36831 184.7132 General additive model
6752      248 189.0093 212.31860 207.2708 General additive model
6753      213 182.2603 178.87212 171.6941 General additive model
6754      217 188.2977 226.97653 211.1231 General additive model
6755      225 177.3324 223.30045 235.1711 General additive model
6756      264 191.3854 211.04358 202.4957 General additive model
6757      223 191.7569 194.77208 187.1676 General additive model
6758       30 196.4354 179.64634 181.5965 General additive model
6759      239 188.3071 177.97484 187.3060 General additive model
6760      192 174.7423 165.50719 170.3623 General additive model
6761      161 176.1146 154.15015 160.4226 General additive model
6762      222 190.8680 184.83539 186.5174 General additive model
6763      179 172.3506 235.08205 229.8804 General additive model
6764       43 186.5072 199.99583 204.2400 General additive model
6765      127 193.0101 178.40195 181.9206 General additive model
6766      194 194.5893 186.19410 187.7169 General additive model
6767      149 195.5427 171.27520 176.4159 General additive model
6768      250 189.1955 216.92936 207.9699 General additive model
6769      177 189.4210 180.16661 181.4940 General additive model
6770      228 190.2541 181.99199 187.1803 General additive model
6771      106 156.1103 150.29382 141.7971 General additive model
6772       86 183.7187 193.70960 197.4336 General additive model
6773      203 187.3468 187.79765 183.1572 General additive model
6774      190 193.0497 196.75054 187.7767 General additive model
6775      165 187.1700 182.16800 186.3235 General additive model
6776      224 192.5866 201.21718 191.3064 General additive model
6777      207 184.4228 185.92278 190.2224 General additive model
6778      255 191.6047 190.93806 190.7770 General additive model
6779      230 191.3315 193.56800 187.0255 General additive model
6780      248 189.5839 214.68452 204.3696 General additive model
6781      116 180.3492 176.66077 171.2353 General additive model
6782       61 185.5028 182.89399 180.9874 General additive model
6783      185 188.2949 190.30830 184.4902 General additive model
6784       30 172.2856 119.23985 116.4500 General additive model
6785      215 186.3276 194.39648 184.9388 General additive model
6786      214 173.9934 186.87714 187.5893 General additive model
6787      130 158.3403 180.92877 155.5111 General additive model
6788       47 170.3045 118.42890 110.1194 General additive model
6789      241 189.4437 187.82853 194.1264 General additive model
6790      239 185.3814 179.87486 180.4480 General additive model
6791      212 168.8985 200.22957 199.9731 General additive model
6792      218 184.6623 209.81055 203.3853 General additive model
6793      221 179.6893 183.62819 187.9187 General additive model
6794      161 195.3126 168.81431 174.6989 General additive model
6795      173 163.5817 154.83871 161.0217 General additive model
6796      179 175.6051 158.42841 165.0936 General additive model
6797       41 196.0524 176.26516 182.2502 General additive model
6798      181 194.9848 169.54828 174.7750 General additive model
6799      200 165.1606 168.76769 173.8792 General additive model
6800      256 190.2279 208.36789 200.3132 General additive model
6801      254 192.5020 182.71287 183.8198 General additive model
6802       93 175.8489 143.76172 148.3225 General additive model
6803      217 181.8576 178.95400 171.7658 General additive model
6804      129 181.7670 185.00664 182.1212 General additive model
6805      231 180.8134 193.92341 197.1316 General additive model
6806      158 194.9382 217.06334 211.5130 General additive model
6807        2 181.0381 186.26323 182.6478 General additive model
6808      236 186.5697 186.12622 193.0784 General additive model
6809      222 176.2378 227.32225 233.6820 General additive model
6810      265 191.3805 214.84655 207.0814 General additive model
6811      216 193.9475 182.87124 186.4863 General additive model
6812      201 191.1903 177.92533 184.7779 General additive model
6813      201 191.9195 185.79212 185.1758 General additive model
6814      243 188.8665 217.83684 208.0968 General additive model
6815      170 194.3213 204.82234 194.9648 General additive model
6816      244 188.3647 191.95591 188.9456 General additive model
6817      181 188.8960 184.68883 182.4227 General additive model
6818      208 173.6305 233.64148 227.2494 General additive model
6819      214 188.5233 213.96431 207.5895 General additive model
6820      167 192.9686 187.44538 184.4581 General additive model
6821       70 192.2141 170.54407 180.1283 General additive model
6822       40 196.0364 203.65305 196.8614 General additive model
6823      197 180.4469 174.31559 169.9334 General additive model
6824      110 189.8330 190.94532 187.5923 General additive model
6825      200 187.3328 187.67501 198.4734 General additive model
6826      223 183.5315 180.32916 175.7867 General additive model
6827      189 194.2452 201.17251 195.1117 General additive model
6828      144 178.3486 162.18895 162.8161 General additive model
6829       97 186.7332 236.36774 220.1554 General additive model
6830      253 191.3044 210.17052 213.0868 General additive model
6831      167 178.3966 164.31557 166.2393 General additive model
6832      234 191.5846 197.87035 188.2273 General additive model
6833      237 190.8735 192.82753 187.1368 General additive model
6834      254 190.4273 191.25822 188.8812 General additive model
6835      194 187.4939 184.26793 183.2515 General additive model
6836       40 184.4673 189.18000 189.0234 General additive model
6837       63 189.0753 212.44651 204.2062 General additive model
6838       70 161.6518 132.53828 139.3193 General additive model
6839      168 176.9439 158.93102 164.9615 General additive model
6840      210 190.9292 178.94597 185.4543 General additive model
6841       60 191.7219 174.24360 181.2767 General additive model
6842      146 165.0926 143.00929 145.2688 General additive model
6843      237 188.0806 176.78839 185.0893 General additive model
6844      143 195.5092 182.93303 184.9368 General additive model
6845      202 173.5706 237.41963 230.5278 General additive model
6846      250 190.3444 195.56145 187.2918 General additive model
6847      233 188.2892 190.58799 184.5422 General additive model
6848      178 193.1734 230.67545 224.8800 General additive model
6849      240 186.5276 178.69208 180.5090 General additive model
6850      155 189.2434 188.61397 185.0814 General additive model
6851      134 185.8431 185.62041 182.6110 General additive model
6852       30 191.4903 177.07998 182.3001 General additive model
6853      238 185.0569 185.51170 177.1992 General additive model
6854      160 186.4360 185.10642 181.8883 General additive model
6855      159 190.1509 176.75747 181.3652 General additive model
6856      211 164.7497 174.78941 181.5311 General additive model
6857      198 190.0152 173.27545 182.7899 General additive model
6858      219 170.4262 197.72406 191.9097 General additive model
6859       20 168.0258 111.94190 102.6741 General additive model
6860      253 191.1887 195.18711 189.9769 General additive model
6861      182 187.6992 200.20545 191.2241 General additive model
6862      204 175.9561 173.64236 181.8816 General additive model
6863      181 188.4874 189.24357 184.1553 General additive model
6864      196 190.4762 173.29095 183.5672 General additive model
6865      140 171.5033 136.69311 131.3034 General additive model
6866      236 187.5241 191.32512 190.5896 General additive model
6867       20 196.5761 157.35974 164.8879 General additive model
6868      173 186.3517 145.05185 179.7665 General additive model
6869       91 169.7970 122.93693 114.1339 General additive model
6870      188 181.9745 179.22780 173.5023 General additive model
6871       55 192.2052 170.18031 180.2373 General additive model
6872       50 191.1349 182.06235 184.3837 General additive model
6873      226 180.6131 185.87787 186.5225 General additive model
6874      197 188.1940 199.74409 202.4865 General additive model
6875      228 185.6682 191.17282 181.7937 General additive model
6876      231 189.0171 176.72884 186.4922 General additive model
6877      186 186.3310 190.58275 187.4565 General additive model
6878      239 185.7336 180.22288 183.9757 General additive model
6879      251 190.0797 189.55151 193.9987 General additive model
6880      220 188.4786 225.93566 210.9515 General additive model
6881      244 187.3884 178.64698 186.6751 General additive model
6882       35 184.5323 189.88963 189.8914 General additive model
6883      168 173.0490 149.45854 148.7532 General additive model
6884      188 173.3767 161.60763 161.6254 General additive model
6885      168 187.1888 182.04679 185.4062 General additive model
6886      235 185.5250 181.77967 186.7155 General additive model
6887      212 176.1995 181.24498 190.3014 General additive model
6888      199 165.8628 168.21770 171.5770 General additive model
6889      163 178.7402 165.29044 165.4722 General additive model
6890      182 167.5452 158.26846 155.3491 General additive model
6891      184 194.4567 199.21804 194.6806 General additive model
6892       38 185.0906 129.72059 165.2520 General additive model
6893      193 187.9768 227.65444 213.3574 General additive model
6894      239 185.4653 181.86424 176.6054 General additive model
6895      259 187.8839 218.13207 173.8112 General additive model
6896      243 190.3428 191.33799 187.4702 General additive model
6897      257 191.7131 183.12318 188.7792 General additive model
6898      244 190.2207 191.43989 187.5699 General additive model
6899      197 175.8349 169.10515 176.8795 General additive model
6900       40 196.5346 152.00429 161.6407 General additive model
6901       30 180.7483 185.08628 180.8474 General additive model
6902      258 191.4427 184.05224 189.4069 General additive model
6903      225 188.4523 185.50544 185.7317 General additive model
6904      254 192.4269 178.10143 184.2042 General additive model
6905       63 192.4044 170.30255 180.2817 General additive model
6906      242 187.9612 178.40274 187.4182 General additive model
6907      159 195.4190 161.96059 169.0808 General additive model
6908      257 190.4590 200.84055 196.6877 General additive model
6909       24 193.4645 175.77173 180.4675 General additive model
6910      228 183.2637 180.47159 173.3254 General additive model
6911      194 173.7210 166.02396 167.1291 General additive model
6912      130 195.5053 194.32023 192.1798 General additive model
6913      247 192.9113 176.97985 180.4514 General additive model
6914      227 186.8553 191.08023 192.1640 General additive model
6915      190 193.6807 246.08779 231.3032 General additive model
6916      215 177.9432 243.56901 256.1916 General additive model
6917      189 188.0264 206.30678 206.0058 General additive model
6918      250 189.4107 192.24041 188.0548 General additive model
6919      228 184.5130 181.18328 181.5136 General additive model
6920      234 193.4404 190.02566 188.7980 General additive model
6921      222 180.1748 183.34557 185.0764 General additive model
6922      190 184.2237 188.14418 192.7372 General additive model
6923      109 195.8556 168.81633 175.7083 General additive model
6924      175 186.7314 186.21473 182.4039 General additive model
6925      236 189.2110 179.21621 187.9793 General additive model
6926      231 187.2444 178.75420 179.7214 General additive model
6927      243 189.1471 222.28332 208.1899 General additive model
6928       97 186.8295 215.91028 213.0217 General additive model
6929      246 188.4964 182.44641 189.9819 General additive model
6930      199 192.1936 188.59313 185.4543 General additive model
6931      226 177.0672 219.99903 231.0643 General additive model
6932      258 191.4307 185.63817 189.8461 General additive model
6933      235 188.7615 224.05450 209.4663 General additive model
6934      137 187.1560 210.22051 209.6178 General additive model
6935      218 188.1229 219.92519 208.7331 General additive model
6936       30 180.5083 182.69237 177.8729 General additive model
6937      127 195.7379 167.30747 174.2006 General additive model
6938      254 191.1010 194.63374 189.8627 General additive model
6939      261 191.8933 199.34584 193.9810 General additive model
6940      158 187.1913 183.68180 189.5649 General additive model
6941      114 193.9352 191.09977 185.1560 General additive model
6942      234 183.6319 181.64163 173.9178 General additive model
6943      145 178.3075 162.00395 162.8467 General additive model
6944      140 195.5319 173.14065 178.7284 General additive model
6945      200 186.5732 204.60596 194.8295 General additive model
6946      237 184.5592 188.40474 179.0780 General additive model
6947      108 185.0333 189.45773 188.3764 General additive model
6948      243 186.7915 179.51009 186.5210 General additive model
6949      259 191.5473 181.89433 188.2588 General additive model
6950       20 179.3313 172.23245 167.9125 General additive model
6951      222 188.4058 184.75066 186.2924 General additive model
6952      185 194.6771 195.08693 194.9988 General additive model
6953      172 184.4714 191.24856 196.1984 General additive model
6954      156 176.5047 154.36308 160.1787 General additive model
6955      212 181.5199 178.07253 171.3927 General additive model
6956      243 192.9136 205.88191 200.9190 General additive model
6957      141 170.0684 136.51816 128.5167 General additive model
6958      234 187.1284 178.70193 179.7648 General additive model
6959       54 189.9104 196.54053 191.7191 General additive model
6960      246 188.1399 184.11755 190.9024 General additive model
6961      148 186.0544 145.78893 180.1306 General additive model
6962       79 186.7210 225.85554 217.5204 General additive model
6963      144 194.2013 201.23145 190.5144 General additive model
6964      174 183.0086 185.52169 185.6006 General additive model
6965      140 187.3663 227.35534 220.0407 General additive model
6966      252 189.5394 220.09246 207.4368 General additive model
6967      195 194.6827 171.03771 175.5658 General additive model
6968      221 177.3635 192.42504 204.0066 General additive model
6969      236 183.6675 184.19100 175.4853 General additive model
6970      170 180.3150 172.98612 167.8481 General additive model
6971       13 181.0872 186.38655 182.8748 General additive model
6972      164 184.7301 192.33026 196.2345 General additive model
6973      262 191.7517 197.65629 192.8654 General additive model
6974      211 191.2730 182.73968 185.5923 General additive model
6975      230 183.8611 180.40430 175.1700 General additive model
6976      230 185.3113 182.68801 187.6747 General additive model
6977      161 173.2477 146.88629 146.9579 General additive model
6978      179 172.7557 238.64303 232.5634 General additive model
6979      228 181.2722 186.44857 184.0915 General additive model
6980      130 180.6297 177.59726 172.0735 General additive model
6981      217 169.9117 192.69958 187.5062 General additive model
6982      247 188.5832 193.26906 202.6481 General additive model
6983      236 187.4235 177.39829 181.8620 General additive model
6984      154 193.6261 194.54982 186.7294 General additive model
6985      226 176.3693 210.02139 218.9898 General additive model
6986      149 186.5437 192.87312 199.0320 General additive model
6987      259 191.9205 181.42260 185.6104 General additive model
6988      232 180.6620 198.53876 204.3678 General additive model
6989      198 172.3313 169.25890 165.2447 General additive model
6990      245 192.9691 186.30775 185.5165 General additive model
6991      223 186.8771 191.55853 191.2295 General additive model
6992      182 187.8674 213.72803 209.5548 General additive model
6993      130 195.3987 198.87124 194.6452 General additive model
6994      221 184.5863 207.20966 200.2659 General additive model
6995      187 173.6163 160.65709 161.6156 General additive model
6996      123 180.3117 176.01812 170.5899 General additive model
6997      248 189.5762 190.13137 187.0408 General additive model
6998      238 190.1805 186.88282 187.7245 General additive model
6999      234 181.8187 193.51782 191.6753 General additive model
7000      214 188.5197 190.64931 196.7127 General additive model
7001      145 193.4437 189.02287 184.6077 General additive model
7002      233 181.8168 190.89253 187.9600 General additive model
7003      243 187.7762 189.21073 191.5201 General additive model
7004      249 188.9172 192.07996 188.4610 General additive model
7005      111 171.6022 128.43706 123.3716 General additive model
7006      238 184.6887 185.13683 176.6385 General additive model
7007      221 172.2819 205.63108 199.2391 General additive model
7008      236 187.0133 188.87168 193.0535 General additive model
7009      172 187.6887 208.06663 207.5456 General additive model
7010      248 188.8041 188.83456 189.7838 General additive model
7011      160 183.1886 188.38129 190.4420 General additive model
7012      211 172.2239 183.27237 178.1334 General additive model
7013      207 167.3226 176.08573 176.2977 General additive model
7014      235 182.6957 190.13526 183.6131 General additive model
7015       84 169.1107 121.32383 112.1516 General additive model
7016      244 188.6611 193.30222 186.9335 General additive model
7017      159 181.4550 179.66974 174.3574 General additive model
7018      163 157.7291 164.88861 153.2721 General additive model
7019       10 196.3132 184.48476 189.1228 General additive model
7020      230 193.3736 185.30099 188.4694 General additive model
7021      152 187.1147 184.40370 190.6371 General additive model
7022      222 178.1639 190.09241 201.2465 General additive model
7023      186 172.8764 160.20897 158.4660 General additive model
7024       82 154.9411 146.62866 137.1314 General additive model
7025      154 193.0428 185.18499 183.7318 General additive model
7026      256 191.7538 185.34885 189.6086 General additive model
7027      163 186.8700 225.68809 218.6525 General additive model
7028      184 194.8516 178.71192 182.0838 General additive model
7029      240 185.8772 179.74838 183.1781 General additive model
7030      132 177.0380 153.65332 157.6055 General additive model
7031      133 192.3905 173.34089 181.5100 General additive model
7032      123 195.3863 202.10068 196.0724 General additive model
7033      241 189.0178 188.98121 185.8754 General additive model
7034      242 192.9880 177.16681 183.3556 General additive model
7035      240 186.2098 179.35201 179.1711 General additive model
7036      171 189.0402 186.26009 183.4218 General additive model
7037      203 168.6186 202.30646 204.9757 General additive model
7038      229 181.1831 187.02440 185.3478 General additive model
7039       56 194.1680 236.00775 233.2246 General additive model
7040      202 171.8091 225.32916 219.4364 General additive model
7041      209 188.4341 199.46489 201.9320 General additive model
7042      220 192.8342 201.71625 192.0310 General additive model
7043      217 184.3893 183.41101 186.0211 General additive model
7044      218 189.0573 174.81374 183.5112 General additive model
7045      229 183.0878 181.06988 173.1677 General additive model
7046      215 178.2340 181.33823 190.3331 General additive model
7047      205 182.7742 180.36181 175.6723 General additive model
7048      220 179.8952 182.05955 184.6381 General additive model
7049      263 189.1240 176.82297 196.4723 General additive model
7050      132 189.8386 186.28256 184.7581 General additive model
7051      250 189.7219 193.06424 187.6477 General additive model
7052      232 184.4452 195.06171 185.9014 General additive model
7053      218 185.9035 189.26544 194.7287 General additive model
7054      149 195.0809 200.77337 195.4668 General additive model
7055      176 195.0365 180.04891 183.4426 General additive model
7056      210 173.4243 180.88156 179.8251 General additive model
7057       54 195.8421 196.67056 197.6795 General additive model
7058      206 185.4348 190.05504 195.3534 General additive model
7059      208 184.4197 185.63085 189.7858 General additive model
7060      222 192.2559 198.87563 188.8152 General additive model
7061      221 189.4964 175.54019 185.5339 General additive model
7062      164 187.2573 183.16145 188.6211 General additive model
7063      118 191.7557 170.75169 180.8435 General additive model
7064       60 186.4502 186.47245 193.0735 General additive model
7065      230 182.0613 185.11238 179.0117 General additive model
7066       60 191.4944 176.18840 181.9308 General additive model
7067      242 189.0444 189.16550 185.8972 General additive model
7068      174 169.1289 152.03177 145.0574 General additive model
7069      156 168.2246 143.61351 137.3881 General additive model
7070      239 186.8272 178.30281 180.9106 General additive model
7071      171 186.9572 201.75508 202.4427 General additive model
7072       59 172.3122 123.55271 120.8006 General additive model
7073      224 175.3692 203.53216 208.6799 General additive model
7074        8 183.5920 193.85386 197.1149 General additive model
7075      205 187.0589 194.47604 185.6757 General additive model
7076      255 189.0413 197.32248 204.7429 General additive model
7077      169 170.2962 149.23091 141.7616 General additive model
7078      236 183.9794 192.10202 183.1934 General additive model
7079       97 193.9916 189.72790 184.5656 General additive model
7080      241 189.0862 188.57778 186.1785 General additive model
7081      109 189.5500 195.78442 190.4882 General additive model
7082      190 165.0884 162.88173 167.4052 General additive model
7083       84 176.4317 147.42481 151.4486 General additive model
7084      243 186.5984 178.62138 183.0872 General additive model
7085      192 187.9869 226.11299 213.0490 General additive model
7086       41 174.0447 130.51755 132.9295 General additive model
7087      157 191.4211 171.59307 181.8856 General additive model
7088      221 172.8358 211.36143 205.5115 General additive model
7089      233 190.7280 189.15691 187.0521 General additive model
7090      167 195.2793 169.53539 175.3258 General additive model
7091      233 188.1972 191.43034 184.9387 General additive model
7092      232 181.5954 192.56140 191.3492 General additive model
7093        3 194.9227 199.81774 189.6977 General additive model
7094      205 188.2264 226.10648 212.0470 General additive model
7095      142 181.8342 183.87468 180.6219 General additive model
7096      218 171.7160 193.58640 187.0670 General additive model
7097      226 188.1974 176.26777 182.1556 General additive model
7098      198 172.0505 169.10809 164.3121 General additive model
7099       60 177.5876 156.78636 157.7126 General additive model
7100      218 178.9599 182.86136 190.0323 General additive model
7101      209 188.3882 188.27776 194.8996 General additive model
7102      147 163.5833 144.78128 150.4076 General additive model
7103      157 190.6203 173.48870 181.2503 General additive model
7104      242 187.8607 190.46600 190.7878 General additive model
7105      144 186.3679 178.19560 193.7273 General additive model
7106      204 187.6716 185.27777 183.3814 General additive model
7107      247 190.4174 195.06660 187.3174 General additive model
7108      193 187.5927 183.46542 184.2076 General additive model
7109      137 153.1250 119.14467 132.4043 General additive model
7110      255 191.0223 191.59852 190.0212 General additive model
7111      240 187.4678 177.55131 184.4884 General additive model
7112      218 174.4886 191.92507 194.2837 General additive model
7113      116 191.8634 170.63915 180.8211 General additive model
7114      213 186.1170 190.93042 194.0659 General additive model
7115      227 176.9891 214.76074 225.8476 General additive model
7116      207 164.3640 172.20959 179.0060 General additive model
7117       87 181.4562 186.05825 183.0348 General additive model
7118      264 191.3289 200.29996 194.6592 General additive model
7119       44 176.4115 146.71511 150.5227 General additive model
7120      197 174.1003 244.04581 237.4121 General additive model
7121      227 177.0906 207.39069 219.0373 General additive model
7122      223 184.1739 208.88889 203.6014 General additive model
7123      154 179.5102 169.07015 165.7861 General additive model
7124      209 181.2664 177.43274 171.2548 General additive model
7125      249 189.3325 193.24374 187.6595 General additive model
7126      223 174.8587 200.85279 203.9385 General additive model
7127      213 171.7636 218.03409 211.4480 General additive model
7128      263 191.6549 212.05040 204.2066 General additive model
7129      240 188.6239 191.70234 185.0807 General additive model
7130      181 183.6612 187.22496 190.0567 General additive model
7131      237 192.5745 196.06265 192.4462 General additive model
7132       45 196.2342 171.24740 175.6492 General additive model
7133      225 183.5630 180.26953 175.2859 General additive model
7134      264 191.3225 209.85628 201.2530 General additive model
7135       18 185.1763 132.44396 170.9006 General additive model
7136      245 187.5760 182.28742 190.6028 General additive model
7137      134 179.5973 170.22512 166.1558 General additive model
7138      195 162.4114 164.30573 170.4107 General additive model
7139       40 185.8508 179.40380 183.1261 General additive model
7140      211 194.3398 166.53256 172.5852 General additive model
7141      172 181.7536 179.73557 174.4201 General additive model
7142      167 186.8173 223.87554 216.5372 General additive model
7143      255 191.7240 187.08047 190.1293 General additive model
7144      245 189.1196 185.11006 189.4662 General additive model
7145      213 174.7769 184.57243 188.7755 General additive model
7146      145 170.4546 138.23597 130.6962 General additive model
7147      193 194.6277 183.87359 186.4682 General additive model
7148      249 192.7564 193.47952 190.5106 General additive model
7149      208 185.5861 208.89787 200.3558 General additive model
7150      237 186.7940 178.66334 179.9899 General additive model
7151      261 191.9805 193.19437 190.0842 General additive model
7152      139 192.9864 180.55250 182.5322 General additive model
7153      211 173.1259 182.45652 180.1497 General additive model
7154      178 186.7604 186.64991 182.6258 General additive model
7155      144 192.9799 181.57371 182.8141 General additive model
7156      236 188.6275 190.23197 184.8547 General additive model
7157      193 179.7097 269.80556 287.0794 General additive model
7158      194 179.0503 170.88615 172.5898 General additive model
7159      241 187.8741 191.31121 190.1010 General additive model
7160      240 185.6487 179.59603 179.5674 General additive model
7161      243 189.0051 191.89212 185.5058 General additive model
7162      158 185.0754 192.23432 194.0069 General additive model
7163       94 182.0150 188.95039 188.1564 General additive model
7164      210 193.3713 202.38952 193.6049 General additive model
7165      237 187.7393 176.97392 183.9432 General additive model
7166      242 186.6310 178.45191 181.9632 General additive model
7167      124 186.6237 181.41463 185.9856 General additive model
7168      239 186.2030 181.89545 188.8475 General additive model
7169      189 187.0468 206.03300 196.3395 General additive model
7170      135 189.9626 183.98794 183.7492 General additive model
7171      209 190.8507 178.01872 185.3539 General additive model
7172      231 188.5468 222.05112 209.1627 General additive model
7173      238 184.4135 184.07812 175.7798 General additive model
7174      143 183.1330 190.29300 192.9611 General additive model
7175       78 184.1715 192.83112 195.2475 General additive model
7176       99 185.0052 189.15181 187.9988 General additive model
7177      252 190.2652 185.86714 189.8370 General additive model
7178      177 187.4252 182.54102 186.4228 General additive model
7179      199 164.0515 166.71649 173.2169 General additive model
7180      210 177.8604 249.90000 261.2852 General additive model
7181      230 187.5263 192.08550 187.9110 General additive model
7182      223 193.8584 183.61621 184.3834 General additive model
7183      204 174.5740 174.39603 178.3782 General additive model
7184      225 185.4727 185.43804 191.8915 General additive model
7185      201 188.0015 183.51192 187.7482 General additive model
7186      175 191.1443 172.32500 182.5956 General additive model
7187      252 190.0815 195.76309 187.0914 General additive model
7188      262 191.0707 209.07590 214.0895 General additive model
7189      173 187.2688 212.80094 203.4887 General additive model
7190      177 164.7118 155.99847 160.5667 General additive model
7191       88 163.3938 130.47111 135.4067 General additive model
7192      234 186.8775 179.53935 179.0397 General additive model
7193      199 179.2406 263.24901 279.3261 General additive model
7194      159 170.3735 144.02958 136.5135 General additive model
7195      214 183.9998 182.64454 183.2669 General additive model
7196      206 194.2523 190.60215 190.6873 General additive model
7197      212 187.0689 191.11332 186.5867 General additive model
7198      264 191.5026 209.60764 201.4073 General additive model
7199      243 188.9810 190.68815 185.4867 General additive model
7200      130 185.2066 189.90172 188.7061 General additive model
7201      161 185.8684 139.63440 167.8992 General additive model
7202      215 185.1352 207.91471 199.9349 General additive model
7203      204 186.8346 198.51747 188.9452 General additive model
7204        8 184.0417 192.26546 194.1714 General additive model
7205      167 195.3078 161.88707 168.8861 General additive model
7206      180 186.6924 217.04644 208.5806 General additive model
7207      177 155.8611 152.55749 146.2887 General additive model
7208      221 176.5695 192.79899 203.0062 General additive model
7209      127 176.9878 152.87502 156.7195 General additive model
7210      220 187.4978 181.17838 179.3437 General additive model
7211      230 192.1400 200.10516 189.9560 General additive model
7212      203 170.9124 218.36967 214.3182 General additive model
7213      185 187.1377 185.06845 182.3354 General additive model
7214      234 182.4808 188.15218 181.6842 General additive model
7215      252 190.2703 187.72088 189.2977 General additive model
7216      244 190.1403 191.27190 187.6520 General additive model
7217      233 185.8351 185.01121 177.8720 General additive model
7218      205 177.9152 174.39311 182.2763 General additive model
7219      237 187.9716 192.48676 187.4841 General additive model
7220      232 188.8924 184.60515 189.1676 General additive model
7221      186 172.1485 159.81896 155.7113 General additive model
7222      221 176.8836 232.79070 241.6799 General additive model
7223      226 186.6213 190.25586 193.3866 General additive model
7224      253 190.1338 200.96146 197.7562 General additive model
7225      182 183.2125 185.19608 185.6224 General additive model
7226      173 187.6620 198.49017 202.4632 General additive model
7227      244 192.6141 186.42041 189.5635 General additive model
7228       20 196.4195 157.84030 167.2325 General additive model
7229      111 191.4737 171.75120 180.8312 General additive model
7230      191 189.0604 179.20258 180.9054 General additive model
7231      193 179.4217 171.47496 171.3242 General additive model
7232      191 187.8355 193.25992 185.7712 General additive model
7233       48 183.0669 193.92252 197.3649 General additive model
7234      162 185.4011 201.60361 153.5264 General additive model
7235      109 157.1731 149.97624 144.6049 General additive model
7236      239 189.8324 184.93150 188.2231 General additive model
7237      123 195.8901 156.29008 164.5579 General additive model
7238      251 189.0708 211.88430 207.2750 General additive model
7239      139 181.2633 180.72843 175.7836 General additive model
7240      249 189.3426 194.37897 186.6956 General additive model
7241      267 190.1485 195.11178 207.4278 General additive model
7242      192 194.6124 187.77680 189.0420 General additive model
7243      266 190.7099 211.55854 211.7623 General additive model
7244       92 162.4380 133.65125 140.0774 General additive model
7245      167 187.0097 182.21966 182.9853 General additive model
7246      178 191.2119 172.78123 182.8545 General additive model
7247      120 186.0924 174.00726 191.8004 General additive model
7248       93 186.6201 186.92401 193.5540 General additive model
7249      136 175.7744 147.37563 152.7029 General additive model
7250      201 182.7221 180.54383 176.0621 General additive model
7251      230 180.6395 191.49505 194.5151 General additive model
7252      219 190.2932 178.32574 186.2987 General additive model
7253      226 182.9704 180.26932 172.8170 General additive model
7254      244 192.9409 196.38834 193.0391 General additive model
7255      204 156.4908 153.32439 150.2271 General additive model
7256      198 186.8462 201.82325 192.0731 General additive model
7257       26 194.9114 200.63663 190.2353 General additive model
7258      166 195.1727 178.75362 182.7057 General additive model
7259      244 192.7976 209.33593 203.7565 General additive model
7260      191 170.4933 217.88975 216.6189 General additive model
7261      207 165.8703 174.58665 178.9558 General additive model
7262      238 184.2123 182.46230 174.8510 General additive model
7263      231 185.0487 181.93852 185.3643 General additive model
7264      219 180.0096 181.64040 183.4366 General additive model
7265      236 193.3261 192.02002 190.1951 General additive model
7266      268 189.6583 209.26231 191.2967 General additive model
7267      192 156.7071 146.34676 149.6243 General additive model
7268      226 183.7596 180.38416 176.2050 General additive model
7269      229 180.4933 191.14281 194.7311 General additive model
7270      159 195.2660 175.95657 180.5720 General additive model
7271      167 187.0168 220.73389 212.5781 General additive model
7272      139 179.4607 169.15470 165.5784 General additive model
7273      191 186.7591 152.30708 184.2632 General additive model
7274      224 191.8940 196.15993 187.5700 General additive model
7275      263 190.9952 205.75145 197.9933 General additive model
7276      179 176.3064 159.92484 167.0754 General additive model
7277      222 177.5093 190.92462 202.4488 General additive model
7278      258 190.2116 215.64756 204.2150 General additive model
7279      167 190.8009 172.14100 181.6986 General additive model
7280      129 169.7502 131.70058 123.2920 General additive model
7281       47 177.0776 152.12255 154.7323 General additive model
7282      247 189.3859 192.82389 186.1304 General additive model
7283      189 185.9717 183.65067 160.0879 General additive model
7284      197 187.3148 190.94018 199.4431 General additive model
7285      216 188.8400 175.32414 182.1495 General additive model
7286      238 186.1625 180.25180 178.0677 General additive model
7287      266 190.3823 195.71508 206.3096 General additive model
7288      178 194.8261 191.39145 190.8961 General additive model
7289      222 188.7259 187.62232 194.2653 General additive model
7290      150 187.7410 216.32102 207.2917 General additive model
7291      165 187.5588 208.45081 207.9911 General additive model
7292      163 188.2349 201.76963 193.2325 General additive model
7293      240 189.5709 184.07515 188.6100 General additive model
7294      229 180.0419 194.13697 201.0221 General additive model
7295      102 195.9497 161.96347 169.9826 General additive model
7296       21 192.5790 169.96360 179.9087 General additive model
7297      225 184.7027 202.25252 193.8791 General additive model
7298      211 186.9588 191.23818 187.1519 General additive model
7299      203 186.2407 206.69634 197.1717 General additive model
7300      106 195.6672 194.44483 195.8437 General additive model
7301      245 189.6431 186.05341 192.6625 General additive model
7302      203 193.8672 199.94742 194.4976 General additive model
7303      193 179.2822 268.08224 283.7983 General additive model
7304       35 185.6038 164.43392 187.4342 General additive model
7305      161 187.1895 182.86023 188.1122 General additive model
7306      248 189.5048 217.94868 205.8030 General additive model
7307      255 192.4557 189.76843 187.7711 General additive model
7308      250 190.1546 194.92316 187.2632 General additive model
7309      224 176.3568 200.14732 209.6227 General additive model
7310      204 187.1195 189.36151 184.2609 General additive model
7311      201 174.0949 172.20354 174.4303 General additive model
7312      227 187.9757 176.77733 181.5837 General additive model
7313      183 187.3961 182.95577 183.9149 General additive model
7314      234 182.0136 191.44248 187.8856 General additive model
7315      212 185.1296 211.19380 203.9999 General additive model
7316      248 188.6670 186.89819 190.2702 General additive model
7317      221 183.4187 180.37081 175.9588 General additive model
7318      204 187.0037 190.08020 185.1860 General additive model
7319      237 188.8330 188.55940 185.5020 General additive model
7320      123 185.8373 184.21379 181.6060 General additive model
7321      212 171.6375 186.17966 179.8105 General additive model
7322      237 183.4356 191.89109 183.9033 General additive model
7323      222 185.5609 187.12321 193.6286 General additive model
7324      237 183.7595 187.30927 178.3066 General additive model
7325      153 187.3155 226.30028 215.7121 General additive model
7326      219 182.5866 179.51607 172.2202 General additive model
7327      214 179.9285 178.97694 179.9345 General additive model
7328      214 172.4350 221.47903 214.5514 General additive model
7329      219 188.1617 177.46368 180.6199 General additive model
7330      207 183.6356 182.90310 182.7122 General additive model
7331      120 181.5660 184.52812 181.1489 General additive model
7332      171 178.0891 163.56519 166.8524 General additive model
7333       56 193.2814 175.54830 180.6951 General additive model
7334      244 190.7821 195.37586 187.3784 General additive model
7335      188 186.7387 188.79553 184.2370 General additive model
7336      177 171.1868 153.28809 147.0004 General additive model
7337      204 180.7660 176.06120 171.1731 General additive model
7338      232 193.6057 172.74993 176.8383 General additive model
7339      243 187.1264 183.70313 191.5626 General additive model
7340      217 190.7126 180.35573 186.1167 General additive model
7341      254 190.4804 188.14477 189.5214 General additive model
7342      156 181.8397 182.21710 178.2144 General additive model
7343      235 184.9048 188.60348 179.3150 General additive model
7344      212 192.6059 199.03210 188.9233 General additive model
7345      250 189.7478 193.76689 186.7454 General additive model
7346      120 191.9914 170.76915 180.9362 General additive model
7347       31 194.0627 185.42033 182.8499 General additive model
7348      127 185.4017 188.13672 185.8914 General additive model
7349      233 186.8796 189.67800 193.1088 General additive model
7350      183 178.7650 167.64426 169.2472 General additive model
7351      202 194.4083 185.03301 186.4449 General additive model
7352       20 172.8442 122.10738 121.1495 General additive model
7353      231 180.5036 196.19571 201.8227 General additive model
7354      146 168.4477 139.23551 132.1760 General additive model
7355      240 188.2968 192.80291 186.6005 General additive model
7356      135 192.9782 179.65712 182.3052 General additive model
7357      170 170.4576 149.42083 142.0852 General additive model
7358      237 184.0565 182.80826 174.8060 General additive model
7359      139 163.0705 143.14962 149.3192 General additive model
7360      252 192.5742 190.51551 188.2596 General additive model
7361      217 184.5933 211.24317 205.4216 General additive model
7362       66 176.4619 147.38771 151.2635 General additive model
7363      225 180.4157 187.08570 189.2845 General additive model
7364       90 195.5231 204.00794 196.8085 General additive model
7365      249 192.4305 183.10665 188.0724 General additive model
7366      190 190.7325 173.06665 183.3395 General additive model
7367      204 185.6926 212.04023 203.9532 General additive model
7368      236 187.8299 192.30483 188.2544 General additive model
7369      189 191.6240 177.88177 184.0459 General additive model
7370      153 187.2820 191.60208 197.8449 General additive model
7371      178 179.2133 168.58094 167.8585 General additive model
7372      247 190.0224 192.14811 187.6595 General additive model
7373      242 186.2667 178.98601 182.2937 General additive model
7374      150 172.7438 141.94715 140.3721 General additive model
7375      184 189.4346 177.71304 181.0504 General additive model
7376      214 176.7431 182.51646 192.5846 General additive model
7377      257 190.7814 205.93624 205.0731 General additive model
7378      148 187.8596 214.89049 205.7734 General additive model
7379      243 187.4107 185.05841 192.0268 General additive model
7380      157 187.2491 186.24450 192.8600 General additive model
7381       49 195.7507 203.04401 196.5467 General additive model
7382      221 188.5911 222.73065 209.9357 General additive model
7383      234 184.1681 180.52021 175.5279 General additive model
7384      250 189.5162 194.49906 186.4347 General additive model
7385      187 178.7361 168.36434 170.5260 General additive model
7386       50 173.0975 123.39480 123.2321 General additive model
7387      150 173.1845 244.61685 239.1734 General additive model
7388      229 190.5048 184.89005 187.0991 General additive model
7389      187 182.3787 180.93234 176.6044 General additive model
7390      143 183.9104 192.50056 196.8666 General additive model
7391      182 173.0319 156.57083 155.5464 General additive model
7392      238 185.3546 183.97773 176.8079 General additive model
7393      199 190.3719 173.41443 183.6741 General additive model
7394      178 165.8838 156.59448 158.3329 General additive model
7395      212 194.0831 191.68947 191.2656 General additive model
7396      162 172.8234 147.01225 145.5833 General additive model
7397      177 187.6843 188.38995 195.0533 General additive model
7398      169 178.6364 165.47434 166.5649 General additive model
7399      192 184.5822 189.15644 194.5150 General additive model
7400      204 186.0115 208.25654 199.0935 General additive model
7401        8 189.8246 203.35494 197.0579 General additive model
7402      149 187.1318 186.13306 192.7344 General additive model
7403      210 194.2841 175.45410 178.5626 General additive model
7404      262 191.7570 199.49040 194.0275 General additive model
7405      201 155.9194 147.03781 147.3240 General additive model
7406      157 170.0775 143.34047 135.5735 General additive model
7407      194 165.4441 164.98697 168.9603 General additive model
7408       19 178.9089 168.56859 165.3092 General additive model
7409      261 191.6628 182.03855 186.9218 General additive model
7410      227 184.0245 180.52553 177.5270 General additive model
7411      229 188.3171 188.69868 184.3190 General additive model
7412      246 189.7488 187.95553 193.8893 General additive model
7413      231 189.0073 185.92339 192.5306 General additive model
7414      203 185.6993 212.93204 205.0221 General additive model
7415      221 174.6675 199.06492 201.4765 General additive model
7416      263 191.2043 203.64722 196.6673 General additive model
7417      102 189.8013 192.68051 188.7104 General additive model
7418      201 190.5248 174.07928 184.1701 General additive model
7419      157 180.3747 173.86953 168.4014 General additive model
7420      193 190.6305 173.16081 183.4417 General additive model
7421      231 186.1700 186.59579 193.4350 General additive model
7422      248 189.0658 193.86756 186.8657 General additive model
7423       96 181.5970 186.46084 183.8219 General additive model
7424      146 195.3921 182.67782 186.2930 General additive model
7425      194 187.6650 222.47232 209.7451 General additive model
7426      216 185.0586 207.85100 200.0061 General additive model
7427      208 188.9545 175.88749 181.3134 General additive model
7428      210 187.5671 189.81129 199.5420 General additive model
7429      102 176.8610 151.06490 154.6827 General additive model
7430      223 187.6556 179.12292 179.7130 General additive model
7431      227 180.8350 187.05627 187.1144 General additive model
7432      120 181.2821 182.90208 178.6508 General additive model
7433      233 185.9612 184.69121 191.7821 General additive model
7434      142 189.7933 184.28781 183.6398 General additive model
7435      216 167.5556 187.92345 189.7680 General additive model
7436       99 181.7436 187.09661 184.9740 General additive model
7437       14 186.0089 180.21307 184.7301 General additive model
7438       37 196.2497 172.35411 176.4600 General additive model
7439      224 186.8680 191.40847 191.6061 General additive model
7440       50 196.4821 159.85560 169.1818 General additive model
7441      218 187.0811 191.69425 188.0681 General additive model
7442      258 192.2553 196.07038 191.9271 General additive model
7443      179 187.6662 230.46819 215.0846 General additive model
7444      223 178.2577 191.75279 203.1220 General additive model
7445      248 189.7091 203.78315 200.1414 General additive model
7446      153 187.2727 192.06137 198.2138 General additive model
7447      222 180.2833 183.38656 184.5751 General additive model
7448      143 164.5337 142.70320 146.3341 General additive model
7449      197 184.8085 189.37603 194.9537 General additive model
7450      194 180.8356 175.09864 169.3130 General additive model
7451      251 189.8130 209.62959 201.8721 General additive model
7452      226 177.1541 217.53227 229.0752 General additive model
7453      222 193.9136 182.92865 183.9229 General additive model
7454      190 192.1064 183.75928 184.5277 General additive model
7455       50 189.1847 219.80547 211.7036 General additive model
7456      122 185.9709 159.32479 186.0740 General additive model
7457      166 182.5656 184.55445 182.9781 General additive model
7458      154 173.8692 145.39763 147.5947 General additive model
7459      258 189.9002 216.85381 207.8939 General additive model
7460      147 195.5904 159.25759 166.9821 General additive model
7461      200 154.9760 127.83922 142.3569 General additive model
7462       70 193.7024 182.45516 182.1754 General additive model
7463      228 185.0421 182.94991 187.2913 General additive model
7464      231 188.0492 176.38264 182.8233 General additive model
7465      263 191.1159 206.14892 198.2268 General additive model
7466      195 181.6871 177.72975 171.1379 General additive model
7467      143 172.3181 138.82605 135.8762 General additive model
7468      239 190.3019 188.55697 187.5667 General additive model
7469      171 163.1877 153.61834 160.0444 General additive model
7470       44 178.0349 160.24677 160.0744 General additive model
7471      264 188.5942 211.96589 180.8571 General additive model
7472      235 184.3377 180.51281 175.8781 General additive model
7473      246 192.8628 177.22873 183.4597 General additive model
7474      238 192.2491 198.71539 191.8435 General additive model
7475      139 193.3473 186.14524 183.7212 General additive model
7476      120 183.0573 191.85051 194.8297 General additive model
7477      230 187.4639 155.93879 186.1515 General additive model
7478      190 188.0275 198.13414 201.8459 General additive model
7479      195 187.2059 182.82857 196.7293 General additive model
7480      202 173.5120 237.49275 230.5165 General additive model
7481      231 193.6416 170.99419 176.5782 General additive model
7482      209 192.1810 193.00249 186.5560 General additive model
7483      241 191.0883 196.41750 187.6108 General additive model
7484      239 193.1494 196.42548 193.4317 General additive model
7485      164 187.2611 183.00352 188.3060 General additive model
7486      180 178.5978 166.68127 168.7390 General additive model
7487      203 187.5238 190.34747 183.2858 General additive model
7488      256 189.7427 218.75945 207.3865 General additive model
7489      181 186.2690 190.05389 186.7046 General additive model
7490      208 185.3512 189.26554 195.0566 General additive model
7491      213 167.0912 189.83096 194.3550 General additive model
# create a visual representation
ggplot(plotdata, aes(x = observed)) +
  geom_point(aes(y = glm_pred, color = "Linear regression"), shape = 1) +
  geom_point(aes(y = poly_pred, color = "Polynomial model"), shape = 2) +
  geom_point(aes(y = gam_pred, color = "General additive model"), shape = 3) +
  geom_abline(slope = 1, intercept = 0, linetype = "dashed", color = "black") + #add the 45 degree line
  labs(x = "Observed Values", y = "Predicted Values")

It is difficult to see which model fits the best because they all fit very poorly. Unfortunately, since I cannot tell which model is the best from this plot, I will evaluate the two top contenders for the best model: the GAM and Polynomial model. This is because the tuned polynomial and GAM models had very similar performance metrics. ## Model Evaluation To evaluate the top two contenders for the best (of the worst) models, we will evaluate both models based on the test data. To do this, we will use both models to make predictions for the test data, get performance metrics of both, look at their residuals, and choose the “best” of these two.

# Fit both models to make predictions
poly_aug3 <- augment(poly_tune_fit, test_data)
gam_aug3 <- augment(gam_tune_fit, test_data)

# choose multiple metrics to evaluate linear regression
eval_metrics <- metric_set(mae, rmse, rsq) 

# evaluate model based on the metric set
poly_metrics <- eval_metrics(data = gam_aug3,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
print(poly_metrics)
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae       46.4   
2 rmse      59.9   
3 rsq        0.0816
# evaluate model based on the metric set
gam_metrics <- eval_metrics(data = poly_aug3,
             truth = totality,
             estimate = .pred) %>% 
  select(-2) 
print(gam_metrics)
# A tibble: 3 × 2
  .metric .estimate
  <chr>       <dbl>
1 mae       46.3   
2 rmse      59.8   
3 rsq        0.0836

The tuned polynomial model fitted to the test data resulted in an MAE of 46.5, RMSE of 59.8, and R squared of 9.6%. Unsurprisingly, the tuned GAM resulted in nearly the same metric values with a MAE or 46.6, RMSE of 59.8, and R squared of 9.6%. This leads me to believe that there is not really a difference between the model I choose in performance, but there is a difference in interpretability. To be sure, I will look at residual plots for both of these model predictions once again.

# Polynomial residuals
plotresiduals4 <- data.frame(
  polynomial_model = c(poly_aug3$.pred), 
  residuals = c(poly_aug3$.pred - poly_aug3$totality)) #calculate residuals by predicted - observed
plotresiduals4
    polynomial_model    residuals
1           183.2047  -2.79533451
2           184.6909 -68.30909984
3           194.0385  57.03850625
4           187.4972 -56.50282042
5           186.8433  45.84326999
6           179.9117 101.91170386
7           197.7405 136.74048344
8           186.7409  24.74088105
9           188.7562 -61.24375014
10          184.8641 -55.13587296
11          189.7108 -12.28923020
12          181.3071 -47.69287369
13          183.8533   1.85325045
14          183.6757 -11.32429231
15          183.1847   6.18466548
16          189.6890 -59.31101615
17          186.7464 -69.25363488
18          185.3448 -24.65522405
19          184.7618 -51.23817533
20          183.1940 -68.80595597
21          183.3143 -70.68572839
22          190.9605 -52.03953136
23          194.5022   0.50221527
24          190.9886 -56.01136099
25          182.9923   0.99228444
26          187.7300 -63.27003869
27          183.6664 -18.33363428
28          184.5165 -44.48348359
29          188.3900 -67.60998862
30          193.4036 -53.59642094
31          179.5397 129.53968852
32          185.9370 -51.06298544
33          182.2756  20.27555294
34          213.6998 168.69980871
35          195.5115  75.51145140
36          199.3574 167.35738092
37          186.2943 -58.70574395
38          188.0010 -66.99899081
39          195.1557 -54.84428022
40          187.5207 -28.47927000
41          184.9517 -62.04827883
42          187.0705 -38.92945753
43          191.1705 -56.82949637
44          181.5939  44.59385189
45          188.3897   2.38973135
46          182.1285  16.12848959
47          179.9583 153.95832917
48          185.7563 -34.24367637
49          185.8684  80.86835350
50          179.9470 169.94704293
51          192.1645 -46.83550013
52          185.0887  24.08867694
53          185.4278 -56.57215558
54          203.3149  34.31485684
55          182.4232  18.42315743
56          185.2503   4.25029497
57          184.6219 -10.37810902
58          191.3839 -64.61609437
59          186.5371 -65.46293338
60          203.7780  16.77803993
61          187.6722   4.67216664
62          184.6021 -40.39794915
63          184.9758 -66.02420671
64          204.4751 113.47512507
65          185.8764 -60.12360727
66          180.7305  -5.26949635
67          184.8301 -48.16992458
68          182.0567  13.05669482
69          195.2972   0.29723874
70          186.2127  13.21267266
71          197.9415 -20.05850096
72          184.0323  19.03228886
73          186.8708 -53.12919057
74          198.9177  34.91766995
75          184.9649 -25.03507533
76          197.3913 -13.60868074
77          197.1216  69.12158844
78          184.0736 -28.92641433
79          180.0916  87.09160746
80          200.8001  32.80010614
81          181.5700  36.56997151
82          183.4512  16.45119482
83          185.7131 -52.28685392
84          197.1483 -31.85174290
85          185.2347 -59.76529745
86          198.5413  28.54130559
87          176.9654 146.96535693
88          193.1804  52.18037267
89          188.4402 -56.55981080
90          190.8088 -55.19121186
91          187.5116 -42.48836035
92          192.3626 -55.63735536
93          190.0578   2.05776906
94          191.6894  41.68941372
95          182.3182 -52.68177612
96          182.4311 -34.56892188
97          192.3439 -57.65609377
98          192.4599 -56.54007772
99          192.1413 -48.85865555
100         188.1132 148.11316423
101         192.2341 -46.76588163
102         189.5420 -57.45796283
103         190.7732 172.77321506
104         191.9084 -58.09162081
105         195.6701 165.67012811
106         191.3046 -52.69543315
107         187.1119 147.11193553
108         186.9516 -60.04840102
109         192.4287 -49.57130819
110         191.0162 -58.98383453
111         193.2710 -50.72904006
112         192.7905 162.79049299
113         187.1480   4.14803108
114         185.8341 -51.16591566
115         191.9007 -58.09934195
116         192.2024 -55.79756706
117         192.7223 -47.27774039
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680         219.5171 -31.48285977
681         207.4632 -54.53679509
682         197.8246 -59.17540286
683         189.1703 129.17034672
684         188.4259  35.42591711
685         163.3663 121.36625861
686         192.0032 -18.99679834
687         182.3359 -16.66412313
688         198.7145 -44.28551274
689         192.8294 -49.17056694
690         150.2429 -71.75707092
691         168.9902  10.99022959
692         213.5493 -50.45073808
693         234.3316 226.33158121
694         220.7396 -20.26043543
695         234.2523  85.25232958
696         178.0376 -21.96244445
697         184.9230  -5.07695075
698         213.4250 -46.57498645
699         178.8913  34.89128469
700         213.3852 -48.61479554
701         210.3902 -42.60982474
702         183.0712 -46.92878782
703         215.8442 -49.15577778
704         198.6504  -7.34961741
705         234.5054 191.50538768
706         225.2682  18.26816921
707         212.6909 -35.30910389
708         200.1801 -59.81988716
709         174.9071  10.90710055
710         215.7199 -11.28006401
711         170.7128 168.71281139
712         195.3549 -67.64507528
713         227.3592  57.35923748
714         196.9891 -63.01087610
715         172.6104  -2.38959805
716         142.6825 -19.31747366
717         218.8834 -31.11656612
718         222.1326  28.13259366
719         139.4065  35.40654739
720         146.9136 -61.08643989
721         197.9754 -60.02455742
722         219.6409 -34.35905406
723         220.0102  63.01024577
724         178.0638  10.06383850
725         208.6673 -55.33272258
726         182.8740 -58.12603770
727         195.5407 -28.45933033
728         173.2781  46.27805054
729         230.0637  38.06366933
730         130.8253 104.82525803
731         174.7403 -57.25966430
732         188.5474 -25.45263765
733         167.0272  57.02723669
734         153.5676 -67.43242625
735         215.2540  25.25403744
736         194.4199 -53.58014083
737         172.0594 -69.94056608
738         194.3824 -21.61764893
739         170.1202 -36.87983560
740         227.1894  43.18937928
741         165.6749  44.67487451
742         211.4871   4.48709853
743         224.1724  -3.82758046
744         220.2993 -29.70069164
745         221.3160  62.31601211
746         178.9489  20.94885559
747         173.1461 -30.85386495
748         216.7468 -33.25319042
749         168.0827 102.08272859
750         190.5125 -32.48748949
751         197.7912 -58.20876873
752         190.6504 -56.34958060
753         228.3429  28.34287518
754         204.1475 -42.85253495
755         161.7476 129.74764462
756         178.7061 -40.29392282
757         210.0828 -44.91720579
758         223.6011 -13.39891414
759         196.3112 -52.68877940
760         220.1205 -28.87947862
761         210.0447  -3.95533961
762         203.4108 -59.58916482
763         164.7268  58.72676825
764         220.9859 -19.01408223
765         174.6791 -22.32094574
766         213.3688 -25.63122363
767         188.7743 -18.22566282
768         178.7511  47.75111512
769         238.8859  37.88593439
770         186.3920 -57.60800812
771         177.0113  47.01133366
772         218.0384  57.03840300
773         191.7682  20.76815428
774         184.3285 -51.67150215
775         175.0201  78.02006974
776         178.3533 -42.64674142
777         209.4954 -19.50464444
778         198.5700 -28.43003928
779         164.4188  55.41881036
780         159.2026  21.20260826
781         150.2741 -37.72593922
782         215.3584 -38.64157106
783         170.1174  59.11740130
784         140.0337  10.03370648
785         156.1964 -20.80362674
786         203.6396 189.63959365
787         187.2693 -69.73071083
788         226.2854   5.28542836
789         214.0282 -20.97183639
790         170.4352   8.43521634
791         182.3162 -10.68376057
792         228.3782  70.37816611
793         196.8686 145.86855884
794         172.7695 -60.23046455
795         218.8570 -27.14302523
796         190.8439 -60.15609345
797         166.3312 -20.66877917
798         172.3141 -85.68594332
799         215.1024 -49.89760945
800         223.9869  11.98689576
801         161.8036  22.80359320
802         218.4519 -37.54809299
803         234.9335 213.93347602
804         175.7450  36.74499925
805         201.2946 -56.70542410
806         199.2385   8.23854225
807         187.1927  32.19265366
808         216.2322 -44.76780698
809         195.6839 -67.31608909
810         195.8994 -57.10063044
811         209.4080 -32.59199914
812         232.0571  96.05713976
813         128.2141 106.21408415
814         135.7672  51.76716122
815         169.7612 -34.23880881
816         171.7143 -35.28566833
817         183.1016 -30.89844759
818         131.3760 121.37602404
819         193.5064 -16.49363743
820         149.5019 -13.49810825
821         145.9914  -6.00860394
822         137.7889  24.78889559
823         178.7240 -35.27596636
824         133.5748  44.57475666
825         184.1488 -27.85119080
826         151.0226 -10.97739742
827         162.7402 -27.25981193
828         180.3986 -32.60137191
829         126.0985  90.09849779
830         191.2956 -20.70442688
831         161.1154 -25.88455017
832         147.4300  -6.57004912
833         167.1200 -29.88004001
# plot predictions versus residuals for model 2
ggplot(plotresiduals4, aes(x= polynomial_model, y=residuals)) + 
  geom_point() + 
  geom_abline(slope = 0, intercept = 0, color = "pink", size = 1.5) + #add straight line at 0
  labs(x= "Predicted Values", y= "Residuals", title = "Residual Plot for Polynomial Model Predictions")

# GAM residuals
plotresiduals5 <- data.frame(
  general_additive_model = c(gam_aug3$.pred), 
  residuals = c(gam_aug3$.pred - gam_aug3$totality)) #calculate residuals by predicted - observed
plotresiduals5
    general_additive_model   residuals
1                 185.8815  -0.1185105
2                 190.3920 -62.6080250
3                 199.7800  62.7799964
4                 187.2209 -56.7791236
5                 193.4961  52.4961121
6                 182.4711 104.4711266
7                 193.9462 132.9462193
8                 193.4019  31.4018955
9                 188.3694 -61.6306471
10                190.4184 -49.5816446
11                196.1195  -5.8804887
12                185.9259 -43.0741061
13                182.5922   0.5921520
14                184.2574 -10.7426493
15                182.7730   5.7729574
16                187.7942 -61.2057898
17                189.9659 -66.0340637
18                187.8930 -22.1069986
19                189.9004 -46.0996433
20                188.2873 -63.7126949
21                188.5069 -65.4931014
22                185.5338 -57.4661649
23                199.5849   5.5848552
24                191.2216 -55.7784406
25                185.6320   3.6319871
26                193.0639 -57.9361358
27                188.4435 -13.5565429
28                188.8708 -40.1291517
29                189.7901 -66.2098638
30                191.6163 -55.3836700
31                181.7038 131.7038000
32                187.2362 -49.7638063
33                186.7774  24.7773648
34                212.4042 167.4042322
35                200.9252  80.9251795
36                203.8201 171.8201343
37                188.4221 -56.5778721
38                192.2210 -62.7790121
39                190.8833 -59.1167137
40                194.1952 -21.8047752
41                190.3369 -56.6630659
42                184.5168 -41.4831504
43                187.0393 -60.9607286
44                181.3113  44.3113432
45                195.0478   9.0478131
46                186.0289  20.0288803
47                180.0881 154.0880695
48                188.4128 -31.5871785
49                192.4340  87.4340421
50                179.7420 169.7420145
51                191.6791 -47.3208555
52                191.4995  30.4995177
53                188.9932 -53.0067950
54                205.2935  36.2934558
55                187.1060  23.1060048
56                182.2079   1.2079067
57                190.7021  -4.2978883
58                190.4633 -65.5367316
59                189.8943 -62.1056817
60                204.8822  17.8822146
61                188.7429   5.7429254
62                187.2204 -37.7796214
63                190.3121 -60.6878643
64                206.9523 115.9522950
65                188.9774 -57.0226324
66                184.1625  -1.8374981
67                188.3073 -44.6926705
68                185.0555  16.0555383
69                193.0766  -1.9234054
70                192.8288  19.8288020
71                193.7029 -24.2970701
72                190.0438  25.0437940
73                187.0187 -52.9813281
74                194.6694  30.6693805
75                184.2210 -25.7789911
76                200.7878 -10.2122348
77                193.7451  65.7451209
78                189.1043 -23.8956605
79                181.6941  88.6941454
80                203.9085  35.9084811
81                185.6561  40.6560626
82                185.6840  18.6839693
83                187.7100 -50.2899533
84                199.7545 -29.2454804
85                189.6481 -55.3518970
86                194.4977  24.4977353
87                180.2559 150.2558993
88                186.1023  45.1022843
89                188.4845 -56.5155119
90                187.8756 -58.1244105
91                187.0153 -42.9847402
92                187.6943 -60.3057345
93                186.1202  -1.8797703
94                192.1641  42.1641308
95                187.9282 -47.0717600
96                186.0784 -30.9216018
97                187.8975 -62.1024550
98                188.0298 -60.9701588
99                188.8758 -52.1242476
100               183.7020 143.7019636
101               187.2026 -51.7973813
102               190.2542 -56.7458481
103               184.8399 166.8398867
104               188.0367 -61.9633140
105               187.2232 157.2231792
106               189.6446 -54.3554372
107               183.3159 143.3158766
108               189.5438 -57.4561992
109               188.3472 -53.6527877
110               188.4023 -61.5977318
111               187.3597 -56.6402825
112               185.7171 155.7171099
113               184.7487   1.7486529
114               187.8342 -49.1657589
115               188.3559 -61.6441459
116               188.4340 -59.5660375
117               187.2548 -52.7452459
118               189.4442 -58.5557802
119               180.8523  99.8523452
120               186.5444 -15.4555804
121               185.3610 153.3609583
122               184.3678  33.3678378
123               186.5998 -46.4001619
124               186.6299 -21.3700559
125               188.7249 -58.2751473
126               185.1530  -6.8470122
127               182.8325  16.8325195
128               189.4176 -53.5823690
129               185.2608 -20.7391888
130               184.8502  96.8502315
131               181.8591  81.8591032
132               183.7840  15.7840372
133               189.0876 -32.9123600
134               186.1720  12.1720103
135               189.4456 -45.5544233
136               185.8582 -29.1417575
137               186.4598 -34.5401964
138               185.7567  23.7566906
139               187.2493 -43.7507279
140               186.5962 -36.4038248
141               187.4350 -54.5649527
142               180.7797  72.7797072
143               188.4735 -36.5265398
144               179.7758 119.7757920
145               188.1793 -61.8206606
146               185.0308 -15.9692242
147               187.7604 -59.2395983
148               180.1111 -46.8889281
149               179.4245 -40.5755141
150               194.3482 -26.6517786
151               183.6552 -37.3448197
152               186.9138 166.9138400
153               191.8425 -41.1575109
154               183.0408 -32.9592431
155               183.7628 -37.2371708
156               189.2508 -32.7491581
157               182.1205  14.1204846
158               186.4508 -53.5491530
159               192.3785   1.3784516
160               194.7872 -18.2127922
161               186.7827 -36.2173300
162               193.2336 -40.7664041
163               182.8472  -1.1528083
164               187.7685 -47.2315426
165               185.3695 -52.6304726
166               195.8816  22.8815553
167               180.3373 -40.6626619
168               182.6418 -30.3581855
169               183.2972 -24.7027761
170               188.5930 -38.4070145
171               184.7740 -25.2260215
172               180.5644 -35.4356420
173               182.3565 -35.6435158
174               182.6747 -51.3253439
175               196.8687  44.8687073
176               180.2231 -42.7769326
177               186.2775  21.2775430
178               192.5471  97.5471212
179               193.3467 -35.6532863
180               188.0428 -48.9572265
181               179.7266 -35.2734071
182               180.1744 -57.8256318
183               178.9695 -62.0304981
184               181.5635 -51.4364737
185               181.2188  27.2187976
186               195.2516  13.2515673
187               185.0928 -24.9072228
188               179.2610 -43.7390285
189               178.7062 -55.2937884
190               182.5552   7.5552185
191               193.8552 -34.1448386
192               193.9665 -35.0334758
193               191.3711 -22.6289128
194               180.3896 -24.6104356
195               181.2567 -21.7433194
196               197.0161  57.0161151
197               194.0450 -34.9549754
198               186.8142 -52.1857627
199               188.8668 -18.1331787
200               197.8430 167.8429583
201               189.3854 -38.6146343
202               190.5926  40.5925874
203               182.3272 -56.6727767
204               179.2341 -59.7658776
205               183.1727 -58.8272676
206               187.5082 -33.4918459
207               190.9093  17.9093216
208               185.5384 147.5384085
209               179.9268 159.9268097
210               181.2725  10.2724762
211               196.2253  18.2252712
212               182.9394 -44.0605508
213               195.3289  -9.6711492
214               181.5851  10.5850725
215               182.4351  64.4350923
216               182.0688  18.0688325
217               182.7036 156.7035829
218               181.2740  32.2740125
219               180.9009  62.9008645
220               188.8644 -53.1356435
221               195.5820  53.5820194
222               181.9860  -6.0140297
223               178.0870 -62.9130412
224               195.3992  -4.6007737
225               196.9364 140.9364136
226               185.9299 -54.0701490
227               181.6164 163.6164158
228               180.4558 -55.5442398
229               178.8713 -62.1287248
230               192.2467 -50.7532529
231               181.8693  -4.1307434
232               179.5318 -61.4681826
233               184.5019 -48.4981432
234               193.3992 -19.6007621
235               181.4367  40.4367365
236               180.3129 -60.6870940
237               195.8575 145.8574934
238               185.9092 -12.0907669
239               184.8981 -57.1018644
240               182.2895 -34.7104959
241               194.4151 -28.5848531
242               189.3289 -53.6711218
243               185.1248  -4.8751514
244               180.8135 -14.1865375
245               192.1680  77.1680431
246               179.0089 -53.9911206
247               180.5810 -25.4190181
248               180.9031 -23.0969336
249               183.6385 -40.3614989
250               185.0167 -32.9833418
251               184.5974 -18.4026229
252               192.0549 -47.9451364
253               191.1770 -54.8229857
254               190.3777  -8.6223313
255               197.1106  96.1106378
256               178.9901 -52.0098859
257               181.1109 -21.8891416
258               182.4134 -35.5866197
259               182.2913   7.2912605
260               193.8904 -26.1095781
261               185.2330 -30.7669511
262               197.3485  80.3484663
263               189.7221  -3.2778616
264               181.9310  65.9310027
265               181.3888  42.3887843
266               181.2509   7.2508724
267               194.6595 -22.3405421
268               181.0191 -61.9808598
269               178.8844 -53.1155637
270               183.6863 -12.3136939
271               192.7450 -42.2549694
272               180.8021 -59.1979320
273               187.0463 -40.9537190
274               180.1975 -56.8025295
275               182.8216  59.8216099
276               196.8219  51.8219161
277               193.5251  -7.4749348
278               177.3935 -62.6064810
279               181.5184   0.5184066
280               182.2636   4.2635584
281               189.3322 -30.6678274
282               181.2125 -55.7874819
283               189.6331 -24.3669418
284               195.1202   3.1202413
285               181.4295 -15.5704853
286               178.0185 -57.9814553
287               184.9120  95.9120159
288               188.5786 148.5785879
289               187.4137  22.4136829
290               187.0406  11.0406103
291               193.9118  30.9117690
292               188.6536 178.6535549
293               196.2076  67.2076451
294               191.6532  37.6531670
295               193.9544 139.9543937
296               142.6154   8.6154146
297               156.1049  13.1049153
298               139.9923  42.9923417
299               136.4013   6.4012562
300               233.4813 193.4813234
301               186.4850 -61.5150253
302               184.8379  14.8379188
303               184.4559 -31.5441202
304               186.1060 -50.8939928
305               184.1744 -35.8256092
306               187.5421 -48.4578813
307               185.4283 -53.5717168
308               193.7337 -21.2662822
309               187.1920 -63.8080330
310               183.2186 -18.7813957
311               186.4669 -59.5331121
312               186.4061 -49.5939119
313               190.0786 -29.9214151
314               185.4836 -25.5164441
315               189.8106  38.8105907
316               185.2768 -55.7231626
317               186.7344 -61.2655869
318               186.7341 -63.2658919
319               187.5308 -60.4691713
320               189.0952 -59.9048393
321               184.7974 -39.2026064
322               188.5148 -56.4852147
323               189.5629 -55.4371034
324               181.2864  44.2863815
325               189.2178   2.2177866
326               183.1322  25.1321597
327               187.4445 -46.5555181
328               189.4816 -49.5183774
329               188.9129 -15.0870700
330               185.8542 -50.1457842
331               195.8323  52.8323369
332               183.0974  38.0973740
333               189.7087  64.7086993
334               183.4573  -8.5427230
335               184.6606 -39.3394283
336               186.2125 -58.7874657
337               182.0253  60.0253179
338               187.4874 -10.5125711
339               186.6023 -57.3977374
340               187.5773 -39.4227434
341               182.7159  13.7159156
342               140.7072  94.7072499
343               230.9742   4.9741709
344               238.3095  44.3095217
345               169.4315 -22.5684606
346               270.9271  66.9271116
347               204.8569 -15.1430715
348               221.8022  -5.1977714
349               224.2257   0.2257348
350               217.6439  26.6439035
351               158.7163  -6.2836755
352               193.9521 -21.0478537
353               131.2377 -15.7622705
354               149.6132 -25.3867537
355               228.9148  37.9148075
356               238.1741  37.1741259
357               168.8062 -20.1938136
358               185.2930 -21.7070107
359               207.7296 -16.2703856
360               125.4140  -8.5860002
361               152.0961 -29.9038798
362               114.7596  68.7595567
363               132.8123 -18.1877424
364               189.6310 -26.3689890
365               132.7119  -0.2880951
366               227.4414  31.4414140
367               166.8353 -21.1647385
368               209.2413 -15.7586862
369               206.9220 -16.0779751
370               241.0819  17.0819197
371               212.4525  -3.5475120
372               210.3221 -13.6779430
373               180.7207 -27.2792911
374               165.9145 -24.0854655
375               181.2889 -29.7110519
376               210.8849  -7.1150608
377               175.9639 -27.0361151
378               148.4795 -18.5205318
379               213.1030 -11.8970481
380               221.9470  18.9470242
381               218.0825  -8.9174946
382               225.2108   1.2107663
383               149.8072 -22.1927748
384               114.7983  24.7982902
385               166.5114 -14.4886047
386               198.6841 -20.3158851
387               277.7828  76.7827713
388               169.5109 -28.4890990
389               186.4740 -25.5260123
390               156.3416  -9.6584349
391               160.7115 -27.2884588
392               259.7014  44.7013755
393               116.7992  10.7991743
394               191.4982 -21.5018293
395               166.4809 -35.5190577
396               253.0394  36.0394107
397               170.6570 -34.3429937
398               207.2636   5.2635710
399               199.1741 -19.8258832
400               234.6168  60.6168296
401               280.0080  83.0079619
402               222.5954  15.5954468
403               211.6330  -5.3669554
404               183.7301 -29.2698861
405               146.6107 -25.3893239
406               142.1170 -26.8829819
407               160.5454 -30.4546358
408               139.6539  11.6539142
409               144.1207 -26.8792887
410               156.2727  -7.7272521
411               233.5709  47.5709029
412               174.7736 -27.2264364
413               202.3914 -19.6086037
414               266.2631  56.2630573
415               179.0705 -31.9295043
416               185.6181 -21.3819258
417               154.6595 -28.3405105
418               231.2692   4.2692108
419               117.5685   9.5684749
420               112.9711  92.9710972
421               228.7449  18.7449060
422               250.5306  30.5306448
423               244.0357  21.0356555
424               131.2685 -15.7315451
425               129.8051 -10.1949211
426               127.2930   6.2930159
427               196.5419 -23.4580947
428               141.7682 -13.2318300
429               115.7376  14.7375541
430               184.8373 -29.1626722
431               165.2341 -23.7659255
432               169.3462 -26.6537539
433               185.1232 -24.8768020
434               178.0433 -58.9567141
435               195.3144 -39.6855920
436               163.0797 101.0796616
437               176.5024 -52.4976274
438               168.2829  -2.7171243
439               195.2654 -27.7346343
440               194.9175 -38.0825346
441               174.2139 -39.7860636
442               192.9339 -18.0661149
443               181.6245 151.6244648
444               193.8887  -0.1113231
445               182.2863 -33.7137258
446               186.6131 -33.3869243
447               193.0672 -41.9327637
448               196.8388 -36.1612362
449               192.6364 -21.3636174
450               184.2807 129.2806878
451               152.1612 132.1611822
452               175.6734 -63.3265702
453               156.3368 136.3367677
454               163.6108   8.6108284
455               181.6694 -37.3305645
456               190.1844 -38.8156261
457               176.7160 -27.2839964
458               193.7566  46.7565844
459               178.4279 -53.5721007
460               195.8991 -22.1008743
461               182.3040 -40.6959893
462               160.8159  33.8159039
463               174.2038 -38.7962180
464               171.7789  19.7788533
465               174.3941  89.3940848
466               178.8019 -48.1980531
467               177.1164  56.1164305
468               179.5432 -54.4568179
469               188.9495 -34.0504768
470               177.0567 -59.9433185
471               148.5125 137.5124928
472               189.7552   0.7551946
473               178.2083 -52.7917245
474               180.9660 -13.0339965
475               189.1258 -45.8741520
476               192.9629  16.9629114
477               187.9977  17.9976646
478               171.9563 -21.0437472
479               188.5770 -38.4229726
480               196.7225  -5.2775395
481               202.5681 104.5680603
482               173.8701   1.8700536
483               176.9009   4.9008786
484               200.3084 -31.6915897
485               178.4500 -29.5500164
486               201.6496 -25.3503709
487               181.6872 -40.3128006
488               208.7065  16.7064608
489               187.5172 -34.4828330
490               178.0659  90.0658636
491               191.4648 -41.5351784
492               204.2163  83.2163184
493               175.7666 -63.2333661
494               160.1679  85.1678776
495               163.0678 158.0677767
496               186.5128 -37.4872493
497               190.3194 -33.6805745
498               205.6844 -24.3156027
499               203.4252   2.4251799
500               149.2790 125.2789976
501               178.8583  -0.1416782
502               158.1334  56.1334042
503               176.4925 -60.5074895
504               178.9682 -49.0318481
505               181.6962  74.6962194
506               198.0580  24.0580302
507               152.9315 142.9314702
508               184.2694  91.2694394
509               157.8826  53.8825512
510               210.6600  56.6599998
511               167.8214 -10.1785692
512               168.3646 -13.6353635
513               169.7051 -13.2948523
514               199.6521  41.6520735
515               176.7593 -49.2407296
516               167.7667  -9.2332671
517               187.9621 -13.0378949
518               175.8827 -64.1173210
519               199.9294 -25.0705896
520               196.5612 -32.4388088
521               179.7253 -53.2747374
522               169.6205 149.6205462
523               179.2570 -23.7430208
524               154.1945  68.1945469
525               162.1369  19.1368637
526               209.9148  -3.0851506
527               173.0721 -52.9278760
528               173.1791  -5.8208776
529               177.2472 -37.7528383
530               171.3153 131.3152655
531               164.4002  23.4002377
532               175.4361 -44.5638790
533               191.0624 -35.9376136
534               176.6737 -62.3262695
535               163.7100  14.7100226
536               192.0023 -34.9977454
537               190.2422 -34.7577880
538               171.1819   9.1818947
539               203.6821 -28.3179033
540               177.7688  35.7688053
541               177.2638 -23.7361724
542               184.8244 -17.1756125
543               179.5335  70.5334893
544               168.9484 -20.0516397
545               201.0034  23.0034077
546               149.9460 124.9460298
547               196.3522 -36.6478004
548               180.1509 113.1509235
549               177.0086  21.0086355
550               181.6151 -52.3848717
551               173.2181 -54.7818810
552               171.6078  -1.3922401
553               208.3978 109.3977726
554               183.5302 138.5301614
555               197.4402  33.4401924
556               172.7475 -52.2525410
557               176.4876 -62.5124147
558               189.7297 -37.2703474
559               169.2198  29.2197656
560               178.3714 -50.6286141
561               167.6587  -9.3412598
562               175.5047 -62.4953076
563               179.2107 -53.7893344
564               177.0287 -60.9713440
565               204.0389 -23.9610984
566               205.3282 -26.6718437
567               185.9217 -36.0783294
568               174.0135 -48.9864839
569               182.7551 -38.2448759
570               176.4636  23.4635641
571               185.4450 -34.5550204
572               153.3878  38.3878238
573               188.4612 -18.5387857
574               225.4179 160.4179248
575               178.0760 -59.9239543
576               205.6514  15.6514472
577               165.8276   8.8275860
578               182.9852 -45.0147632
579               176.2150 -35.7850143
580               170.7611 -20.2389407
581               169.4850  36.4849784
582               172.3616 -31.6384039
583               164.0015   9.0015226
584               174.3047 -59.6952814
585               170.2818 -31.7181676
586               167.1392  -5.8607886
587               180.6949 -46.3051044
588               186.1202 -27.8797877
589               173.2598 -48.7402086
590               176.7395 -63.2605250
591               218.0525  80.0525499
592               174.3911 -61.6089142
593               173.2356 -37.7644054
594               196.9503 -37.0497108
595               204.0704 144.0704267
596               177.4576 -49.5423508
597               174.4826 -60.5174444
598               168.6772 -11.3227566
599               164.6793   9.6793074
600               191.6700 -43.3300112
601               172.9072  92.9072317
602               181.7420 -31.2579561
603               177.2249 -40.7751252
604               173.0300  16.0300081
605               220.2557 189.2556985
606               229.3545 209.3544867
607               165.6942   0.6941703
608               201.3149 -30.6851235
609               180.2848  55.2847899
610               174.6824 -43.3175893
611               177.3044 -28.6956067
612               184.1979 -36.8020825
613               175.3434 -16.6565774
614               176.7393 -41.2606663
615               175.8382 -62.1618494
616               168.3126 -11.6874126
617               178.0239 -20.9761172
618               167.0350 117.0349560
619               194.1058 -38.8942228
620               175.5488 -39.4511753
621               175.0536  85.0535906
622               199.0848 -31.9152234
623               183.5205  -9.4795405
624               207.8379  17.8379090
625               184.8557  -1.1442799
626               175.6269  90.6269245
627               174.9230 -48.0770227
628               189.8690 -69.1309829
629               180.4447 -65.5553091
630               174.6828 112.6828328
631               169.5237 -12.4762970
632               168.9550 114.9549730
633               172.3320  17.3320084
634               179.0758 -60.9242171
635               164.0634  -7.9366351
636               161.8151   1.8151145
637               199.5210 -23.4790379
638               152.9434  18.9433632
639               168.7332 -10.2668096
640               144.0473 134.0473340
641               143.7675  51.7674660
642               159.4910  10.4910405
643               201.8612 -22.1388115
644               171.8835 -15.1164881
645               161.0208   2.0208364
646               141.8259 111.8258997
647               201.9429 -20.0570684
648               174.1621 -17.8379366
649               149.1096  68.1096047
650               139.4366  92.4365638
651               142.2437  31.2436837
652               180.2464 -19.7536212
653               186.0491 124.0491393
654               177.3622 -19.6378001
655               163.3673 -41.6327168
656               191.9653 -66.0347326
657               204.5684 -60.4316075
658               200.1836 -63.8164207
659               207.6829 -46.3171088
660               222.0584 214.0583832
661               206.0942 -48.9058103
662               207.9125 -45.0874872
663               216.8298  67.8297826
664               150.4663  71.4662601
665               181.4472 -68.5528292
666               181.2504  61.2504087
667               231.1846 108.1845644
668               211.1460 125.1460358
669               207.0481 -47.9519123
670               182.3498  25.3498050
671               203.7024 -60.2976402
672               205.9199 160.9198823
673               185.8310 -70.1690082
674               209.9151 -18.0849399
675               183.9675  45.9675181
676               178.0117 -47.9882601
677               206.6948 -55.3052134
678               184.0262 -67.9738273
679               173.4520 119.4519812
680               206.4898 -44.5102065
681               199.0445 -62.9555190
682               205.2457 -51.7543356
683               196.8722 136.8722485
684               190.6552  37.6552134
685               171.6261 129.6261141
686               191.5633 -19.4367211
687               162.0794 -36.9206421
688               198.9298 -44.0701810
689               190.4374 -51.5625552
690               178.6170 -43.3829752
691               190.5719  32.5719440
692               179.3045 -84.6954766
693               221.3029 213.3029384
694               207.5676 -33.4324277
695               215.8631  66.8631434
696               180.9669 -19.0330874
697               186.8316  -3.1684060
698               208.4829 -51.5171381
699               183.3329  39.3328935
700               203.0849 -58.9150944
701               201.8157 -51.1842808
702               183.6668 -46.3332182
703               208.7295 -56.2705194
704               202.1707  -3.8293169
705               220.9173 177.9172708
706               217.3072  10.3072108
707               203.5676 -44.4324438
708               206.4859 -53.5140579
709               179.5952  15.5952496
710               209.8913 -17.1086815
711               177.9658 175.9658142
712               191.5454 -71.4546041
713               215.0447  45.0447031
714               192.4477 -67.5523098
715               177.4236   2.4235881
716               178.1698  16.1697528
717               208.0906 -41.9093867
718               211.7395  17.7395259
719               176.0544  72.0544014
720               177.5099 -30.4901122
721               205.6094 -52.3906221
722               206.9380 -47.0619614
723               213.2841  56.2840935
724               182.0671  14.0671395
725               200.3577 -63.6423263
726               199.0090 -41.9909586
727               193.7569 -30.2431223
728               179.1379  52.1378543
729               213.0740  21.0739554
730               169.0394 143.0394262
731               177.8933 -54.1066530
732               199.3055 -14.6945159
733               174.1854  64.1853883
734               184.7835 -36.2164503
735               210.0264  20.0263802
736               191.2338 -56.7661988
737               174.5547 -67.4452817
738               201.1568 -14.8432382
739               174.6090 -32.3909805
740               213.9475  29.9474806
741               172.9058  51.9057998
742               206.1159  -0.8840839
743               209.8641 -18.1359164
744               214.6759 -35.3241442
745               213.7362  54.7362136
746               194.2521  36.2520688
747               176.9603 -27.0397490
748               205.0964 -44.9035900
749               189.1039 123.1038950
750               189.7901 -33.2099043
751               205.0466 -50.9533697
752               188.5054 -58.4946074
753               212.0447  12.0446976
754               200.3678 -46.6321585
755               186.2905 154.2904703
756               180.7644 -38.2355889
757               201.2730 -53.7270120
758               209.0122 -27.9877708
759               192.5991 -56.4009237
760               206.8725 -42.1274976
761               206.1147  -7.8853175
762               196.6916 -66.3083819
763               172.3120  66.3120141
764               207.7866 -32.2133601
765               178.3995 -18.6005427
766               204.9933 -34.0066915
767               189.1490 -17.8510034
768               183.4719  52.4718806
769               228.0565  27.0565249
770               185.6009 -58.3991109
771               193.0477  63.0476924
772               208.2297  47.2297359
773               199.0424  28.0423511
774               184.3639 -51.6361466
775               180.9050  83.9050271
776               180.4425 -40.5574953
777               205.9011 -23.0988927
778               202.7837 -24.2162560
779               172.0187  63.0186927
780               167.0957  29.0956771
781               183.0753  -4.9247169
782               204.0550 -49.9450364
783               190.2091  79.2091320
784               176.4841  46.4841168
785               185.8497   8.8496934
786               202.7190 188.7189626
787               202.2295 -54.7705303
788               210.7494 -10.2506264
789               207.1736 -27.8264129
790               176.0328  14.0327818
791               196.4991   3.4990659
792               212.5669  54.5669069
793               199.9536 148.9536151
794               176.9413 -56.0587361
795               206.2990 -39.7009984
796               188.5206 -62.4794300
797               172.0624 -14.9375966
798               184.2942 -73.7057700
799               206.6168 -58.3832081
800               218.1285   6.1284563
801               169.3129  30.3129048
802               207.6065 -48.3935063
803               221.4214 200.4214287
804               180.8637  41.8637089
805               195.7037 -62.2962635
806               201.9452  10.9452368
807               197.1269  42.1269138
808               205.6589 -55.3411432
809               191.8241 -71.1759131
810               191.9961 -61.0038505
811               203.0764 -38.9235617
812               218.1357  82.1356928
813               134.6811 112.6811081
814               142.3339  58.3338719
815               176.3673 -27.6327182
816               178.5884 -28.4116192
817               188.5312 -25.4688047
818               137.6725 127.6725489
819               197.8293 -12.1706947
820               154.2127  -8.7872925
821               150.8326  -1.1673613
822               144.3708  31.3707525
823               185.4386 -28.5614163
824               140.1052  51.1051908
825               190.2215 -21.7785078
826               157.5845  -4.4155022
827               166.4332 -23.5667836
828               183.3555 -29.6445024
829               131.1514  95.1513668
830               195.4234 -16.5766497
831               166.0147 -20.9853293
832               153.1019  -0.8980550
833               170.7469 -26.2531255
# plot predictions versus residuals for model 2
ggplot(plotresiduals5, aes(x= general_additive_model, y=residuals)) + 
  geom_point() + 
  geom_abline(slope = 0, intercept = 0, color = "pink", size = 1.5) + #add straight line at 0
  labs(x= "Predicted Values", y= "Residuals", title = "Residual Plot for GAM Predictions")

The residual plot for the polynomial model is very similarly shaped to the residual plot for the GAM, but it has a smaller range. ## Discussion When both models are so similar, but perform equally well (or bad), the best model boils down to interpret ability. For my question- how is latitude and longitude relate to time spent in totality- the polynomial model will be easiest to interpret. Overall, a polynomial to 6.5 degrees is capable of capturing complex patterns because it can have up to 6 inflection points. The local maxima will represent the longitude and latitude at which the time under totality is maximized. If you want to find the time under totality at a particular longitude and latitude, you can substitute in your location to the equation to make a prediction. However, this prediction is not very reliable because the performance of the model is relatively poor. The poor performance of this model, as well as the GAM model, indicate that there might be confounders or a cause of an un-captured trend in the time under totality. One potential confounder is the distance between the earth, moon, and sun, at any particular point in time. Though I have limited knowledge in astronomy, I know that the distance between the earth and moon differ with the elliptically shaped orbit of the moon around the earth. Additionally the Earth also has an elliptically shaped orbit around the sun, which may affect the distance between these three astral bodies at any given time. Additionally, the model may not be able to capture the gradient of time spend under totality, where the maximum is in the center of the eclipse’s path, while the time progressively shortens towards the edges of the eclipse’s path. Because of these factors, and additional trends that may not have been mentioned, a more complex model with more predictors is necessary to produce better predictions.