# Import libraries


library(plyr)

library(tidyverse) # cleaning & wrangling functions
## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v ggplot2 3.3.5     v purrr   0.3.4
## v tibble  3.1.6     v dplyr   1.0.8
## v tidyr   1.2.0     v stringr 1.4.0
## v readr   2.1.2     v forcats 0.5.1
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library(janitor) # data cleaning
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##     chisq.test, fisher.test
library(magrittr) # piping
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library(flextable) #table layout and formatting
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## Attaching package: 'flextable'
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##     compose
library(dlookr) # exploratory data analysis functions
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library(patchwork) # easy plot layout
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library(ggpubr) # creates a wrapper for plotting a list
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library(viridis) #coloration for box plots
## Loading required package: viridisLite
library(broom) # creates a tidy data frame from statistical test results
library(InformationValue) # optimize threshold
## Warning: package 'InformationValue' was built under R version 4.1.3
library(caret) # modeling
## Loading required package: lattice
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library(ROCR) #roc curve
library(car) # marginal plots\
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library(MASS) # use for gamma shape function
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library(tinytex)
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library(tidyverse)
library(caret)
library(caTools)
library(ggplot2)
library(Amelia)
## Loading required package: Rcpp
## ## 
## ## Amelia II: Multiple Imputation
## ## (Version 1.8.0, built: 2021-05-26)
## ## Copyright (C) 2005-2022 James Honaker, Gary King and Matthew Blackwell
## ## Refer to http://gking.harvard.edu/amelia/ for more information
## ##
library(kableExtra)
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library(tidyverse)
library(ggplot2)
library(dplyr)
library(MASS)
library(corrplot)
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library(RColorBrewer)
library(GGally)
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library(ggResidpanel)
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library(psych)
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library(mice)
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library(reshape2)
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library(cowplot)
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library(car)
library(caTools)
library(VIM)
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## Loading required package: grid
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library(broom)

# Libraries and Options
knitr::opts_chunk$set(echo = F, warning = F, message = F, eval = T, 
                      fig.height = 5, fig.width = 10) 

library(knitr)
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library(skimr)
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library(visdat)
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library(inspectdf)
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library(corrplot)
library(scales)
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library(tidyverse)
library(tidyr)
library(bestglm)
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## Loading required package: leaps
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library(pROC)
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library(car)
library(ggcorrplot)
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library(mice)
library(caret)
library(dplyr)
library(MASS)
library(zoo)
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##     as.Date, as.Date.numeric
options(scipen = 9)
set.seed(123)

boxplot_depend_vs_independ <- function(df_train, target_name) {

  train_int_names <- df_train %>% select_if(is.numeric)

  int_names <- names(train_int_names)
  
  myGlist <- vector('list', length(int_names))
  
  names(myGlist) <- int_names
  
  for (i in int_names) {       
 
   myGlist[[i]] <- 
       ggplot(df_train, aes_string(x = target_name, y = i)) + 
        geom_boxplot(color = 'steelblue', outlier.color = 'firebrick', 
                     outlier.alpha = 0.35) +
        labs(title = paste0(i,' vs target'), y = i, x= 'target') +
        theme_minimal() + 
        theme(
          plot.title = element_text(hjust = 0.45),
          panel.grid.major.y =  element_line(color = "grey", 
                                             linetype = "dashed"),
          panel.grid.major.x = element_blank(),
          panel.grid.minor.y = element_blank(),
          panel.grid.minor.x = element_blank(),
          axis.ticks.x = element_line(color = "grey")
        )
       
      }

    myGlist <- within(myGlist, rm(target_name))
    gridExtra::grid.arrange(grobs = myGlist, ncol = 3)
}


plot_corr_matrix <- function(dataframe, significance_threshold){
  title <- paste0('Correlation Matrix for significance > ',
                  significance_threshold)
  
  df_cor <- dataframe %>% mutate_if(is.character, as.factor)
  
  df_cor <- df_cor %>% mutate_if(is.factor, as.numeric)
  #run a correlation and drop the insignificant ones
  corr <- cor(df_cor)
  #prepare to drop duplicates and correlations of 1     
  corr[lower.tri(corr,diag=TRUE)] <- NA 
  #drop perfect correlations
  corr[corr == 1] <- NA 
  #turn into a 3-column table
  corr <- as.data.frame(as.table(corr))
  #remove the NA values from above 
  corr <- na.omit(corr) 
  #select significant values  
  corr <- subset(corr, abs(Freq) > significance_threshold) 
  #sort by highest correlation
  corr <- corr[order(-abs(corr$Freq)),] 
  #print table
  # print(corr)
  #turn corr back into matrix in order to plot with corrplot
  mtx_corr <- reshape2::acast(corr, Var1~Var2, value.var="Freq")
  
  #plot correlations visually
  corrplot(mtx_corr,
           title=title,
           mar=c(0,0,1,0),
           method='color', 
           tl.col="black", 
           na.label= " ",
           addCoef.col = 'black',
           number.cex = .9)
}
missing.types <- c("NA", "")

getwd()
## [1] "C:/Users/polhe/Documents/R"
train <- read.csv("C:/Users/polhe/Downloads/insurance_training_data.csv")
test <- read.csv("C:/Users/polhe/Downloads/insurance-evaluation-data.csv")

##      INDEX        TARGET_FLAG       TARGET_AMT        KIDSDRIV     
##  Min.   :    1   Min.   :0.0000   Min.   :     0   Min.   :0.0000  
##  1st Qu.: 2559   1st Qu.:0.0000   1st Qu.:     0   1st Qu.:0.0000  
##  Median : 5133   Median :0.0000   Median :     0   Median :0.0000  
##  Mean   : 5152   Mean   :0.2638   Mean   :  1504   Mean   :0.1711  
##  3rd Qu.: 7745   3rd Qu.:1.0000   3rd Qu.:  1036   3rd Qu.:0.0000  
##  Max.   :10302   Max.   :1.0000   Max.   :107586   Max.   :4.0000  
##                                                                    
##       AGE           HOMEKIDS           YOJ          INCOME         
##  Min.   :16.00   Min.   :0.0000   Min.   : 0.0   Length:8161       
##  1st Qu.:39.00   1st Qu.:0.0000   1st Qu.: 9.0   Class :character  
##  Median :45.00   Median :0.0000   Median :11.0   Mode  :character  
##  Mean   :44.79   Mean   :0.7212   Mean   :10.5                     
##  3rd Qu.:51.00   3rd Qu.:1.0000   3rd Qu.:13.0                     
##  Max.   :81.00   Max.   :5.0000   Max.   :23.0                     
##  NA's   :6                        NA's   :454                      
##    PARENT1            HOME_VAL           MSTATUS              SEX           
##  Length:8161        Length:8161        Length:8161        Length:8161       
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##                                                                             
##   EDUCATION             JOB               TRAVTIME        CAR_USE         
##  Length:8161        Length:8161        Min.   :  5.00   Length:8161       
##  Class :character   Class :character   1st Qu.: 22.00   Class :character  
##  Mode  :character   Mode  :character   Median : 33.00   Mode  :character  
##                                        Mean   : 33.49                     
##                                        3rd Qu.: 44.00                     
##                                        Max.   :142.00                     
##                                                                           
##    BLUEBOOK              TIF           CAR_TYPE           RED_CAR         
##  Length:8161        Min.   : 1.000   Length:8161        Length:8161       
##  Class :character   1st Qu.: 1.000   Class :character   Class :character  
##  Mode  :character   Median : 4.000   Mode  :character   Mode  :character  
##                     Mean   : 5.351                                        
##                     3rd Qu.: 7.000                                        
##                     Max.   :25.000                                        
##                                                                           
##    OLDCLAIM            CLM_FREQ        REVOKED             MVR_PTS      
##  Length:8161        Min.   :0.0000   Length:8161        Min.   : 0.000  
##  Class :character   1st Qu.:0.0000   Class :character   1st Qu.: 0.000  
##  Mode  :character   Median :0.0000   Mode  :character   Median : 1.000  
##                     Mean   :0.7986                      Mean   : 1.696  
##                     3rd Qu.:2.0000                      3rd Qu.: 3.000  
##                     Max.   :5.0000                      Max.   :13.000  
##                                                                         
##     CAR_AGE        URBANICITY       
##  Min.   :-3.000   Length:8161       
##  1st Qu.: 1.000   Class :character  
##  Median : 8.000   Mode  :character  
##  Mean   : 8.328                     
##  3rd Qu.:12.000                     
##  Max.   :28.000                     
##  NA's   :510
## 'data.frame':    8161 obs. of  26 variables:
##  $ INDEX      : int  1 2 4 5 6 7 8 11 12 13 ...
##  $ TARGET_FLAG: int  0 0 0 0 0 1 0 1 1 0 ...
##  $ TARGET_AMT : num  0 0 0 0 0 ...
##  $ KIDSDRIV   : int  0 0 0 0 0 0 0 1 0 0 ...
##  $ AGE        : int  60 43 35 51 50 34 54 37 34 50 ...
##  $ HOMEKIDS   : int  0 0 1 0 0 1 0 2 0 0 ...
##  $ YOJ        : int  11 11 10 14 NA 12 NA NA 10 7 ...
##  $ INCOME     : chr  "$67,349" "$91,449" "$16,039" "" ...
##  $ PARENT1    : chr  "No" "No" "No" "No" ...
##  $ HOME_VAL   : chr  "$0" "$257,252" "$124,191" "$306,251" ...
##  $ MSTATUS    : chr  "z_No" "z_No" "Yes" "Yes" ...
##  $ SEX        : chr  "M" "M" "z_F" "M" ...
##  $ EDUCATION  : chr  "PhD" "z_High School" "z_High School" "<High School" ...
##  $ JOB        : chr  "Professional" "z_Blue Collar" "Clerical" "z_Blue Collar" ...
##  $ TRAVTIME   : int  14 22 5 32 36 46 33 44 34 48 ...
##  $ CAR_USE    : chr  "Private" "Commercial" "Private" "Private" ...
##  $ BLUEBOOK   : chr  "$14,230" "$14,940" "$4,010" "$15,440" ...
##  $ TIF        : int  11 1 4 7 1 1 1 1 1 7 ...
##  $ CAR_TYPE   : chr  "Minivan" "Minivan" "z_SUV" "Minivan" ...
##  $ RED_CAR    : chr  "yes" "yes" "no" "yes" ...
##  $ OLDCLAIM   : chr  "$4,461" "$0" "$38,690" "$0" ...
##  $ CLM_FREQ   : int  2 0 2 0 2 0 0 1 0 0 ...
##  $ REVOKED    : chr  "No" "No" "No" "No" ...
##  $ MVR_PTS    : int  3 0 3 0 3 0 0 10 0 1 ...
##  $ CAR_AGE    : int  18 1 10 6 17 7 1 7 1 17 ...
##  $ URBANICITY : chr  "Highly Urban/ Urban" "Highly Urban/ Urban" "Highly Urban/ Urban" "Highly Urban/ Urban" ...

## Rows: 8,161
## Columns: 26
## $ INDEX       <int> 1, 2, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 19, 20, 2~
## $ TARGET_FLAG <int> 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1~
## $ TARGET_AMT  <dbl> 0.000, 0.000, 0.000, 0.000, 0.000, 2946.000, 0.000, 4021.0~
## $ KIDSDRIV    <int> 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0~
## $ AGE         <int> 60, 43, 35, 51, 50, 34, 54, 37, 34, 50, 53, 43, 55, 53, 45~
## $ HOMEKIDS    <int> 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 2, 1~
## $ YOJ         <int> 11, 11, 10, 14, NA, 12, NA, NA, 10, 7, 14, 5, 11, 11, 0, 1~
## $ INCOME      <chr> "$67,349", "$91,449", "$16,039", "", "$114,986", "$125,301~
## $ PARENT1     <chr> "No", "No", "No", "No", "No", "Yes", "No", "No", "No", "No~
## $ HOME_VAL    <chr> "$0", "$257,252", "$124,191", "$306,251", "$243,925", "$0"~
## $ MSTATUS     <chr> "z_No", "z_No", "Yes", "Yes", "Yes", "z_No", "Yes", "Yes",~
## $ SEX         <chr> "M", "M", "z_F", "M", "z_F", "z_F", "z_F", "M", "z_F", "M"~
## $ EDUCATION   <chr> "PhD", "z_High School", "z_High School", "<High School", "~
## $ JOB         <chr> "Professional", "z_Blue Collar", "Clerical", "z_Blue Colla~
## $ TRAVTIME    <int> 14, 22, 5, 32, 36, 46, 33, 44, 34, 48, 15, 36, 25, 64, 48,~
## $ CAR_USE     <chr> "Private", "Commercial", "Private", "Private", "Private", ~
## $ BLUEBOOK    <chr> "$14,230", "$14,940", "$4,010", "$15,440", "$18,000", "$17~
## $ TIF         <int> 11, 1, 4, 7, 1, 1, 1, 1, 1, 7, 1, 7, 7, 6, 1, 6, 6, 7, 4, ~
## $ CAR_TYPE    <chr> "Minivan", "Minivan", "z_SUV", "Minivan", "z_SUV", "Sports~
## $ RED_CAR     <chr> "yes", "yes", "no", "yes", "no", "no", "no", "yes", "no", ~
## $ OLDCLAIM    <chr> "$4,461", "$0", "$38,690", "$0", "$19,217", "$0", "$0", "$~
## $ CLM_FREQ    <int> 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2~
## $ REVOKED     <chr> "No", "No", "No", "No", "Yes", "No", "No", "Yes", "No", "N~
## $ MVR_PTS     <int> 3, 0, 3, 0, 3, 0, 0, 10, 0, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, ~
## $ CAR_AGE     <int> 18, 1, 10, 6, 17, 7, 1, 7, 1, 17, 11, 1, 9, 10, 5, 13, 16,~
## $ URBANICITY  <chr> "Highly Urban/ Urban", "Highly Urban/ Urban", "Highly Urba~
## [1] 12
## [1] 14
##      INDEX        TARGET_FLAG       TARGET_AMT        KIDSDRIV     
##  Min.   :    1   Min.   :0.0000   Min.   :     0   Min.   :0.0000  
##  1st Qu.: 2559   1st Qu.:0.0000   1st Qu.:     0   1st Qu.:0.0000  
##  Median : 5133   Median :0.0000   Median :     0   Median :0.0000  
##  Mean   : 5152   Mean   :0.2638   Mean   :  1504   Mean   :0.1711  
##  3rd Qu.: 7745   3rd Qu.:1.0000   3rd Qu.:  1036   3rd Qu.:0.0000  
##  Max.   :10302   Max.   :1.0000   Max.   :107586   Max.   :4.0000  
##                                                                    
##       AGE           HOMEKIDS           YOJ          INCOME         
##  Min.   :16.00   Min.   :0.0000   Min.   : 0.0   Length:8161       
##  1st Qu.:39.00   1st Qu.:0.0000   1st Qu.: 9.0   Class :character  
##  Median :45.00   Median :0.0000   Median :11.0   Mode  :character  
##  Mean   :44.79   Mean   :0.7212   Mean   :10.5                     
##  3rd Qu.:51.00   3rd Qu.:1.0000   3rd Qu.:13.0                     
##  Max.   :81.00   Max.   :5.0000   Max.   :23.0                     
##  NA's   :6                        NA's   :454                      
##    PARENT1            HOME_VAL           MSTATUS              SEX           
##  Length:8161        Length:8161        Length:8161        Length:8161       
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##                                                                             
##   EDUCATION             JOB               TRAVTIME        CAR_USE         
##  Length:8161        Length:8161        Min.   :  5.00   Length:8161       
##  Class :character   Class :character   1st Qu.: 22.00   Class :character  
##  Mode  :character   Mode  :character   Median : 33.00   Mode  :character  
##                                        Mean   : 33.49                     
##                                        3rd Qu.: 44.00                     
##                                        Max.   :142.00                     
##                                                                           
##    BLUEBOOK              TIF           CAR_TYPE           RED_CAR         
##  Length:8161        Min.   : 1.000   Length:8161        Length:8161       
##  Class :character   1st Qu.: 1.000   Class :character   Class :character  
##  Mode  :character   Median : 4.000   Mode  :character   Mode  :character  
##                     Mean   : 5.351                                        
##                     3rd Qu.: 7.000                                        
##                     Max.   :25.000                                        
##                                                                           
##    OLDCLAIM            CLM_FREQ        REVOKED             MVR_PTS      
##  Length:8161        Min.   :0.0000   Length:8161        Min.   : 0.000  
##  Class :character   1st Qu.:0.0000   Class :character   1st Qu.: 0.000  
##  Mode  :character   Median :0.0000   Mode  :character   Median : 1.000  
##                     Mean   :0.7986                      Mean   : 1.696  
##                     3rd Qu.:2.0000                      3rd Qu.: 3.000  
##                     Max.   :5.0000                      Max.   :13.000  
##                                                                         
##     CAR_AGE        URBANICITY       
##  Min.   :-3.000   Length:8161       
##  1st Qu.: 1.000   Class :character  
##  Median : 8.000   Mode  :character  
##  Mean   : 8.328                     
##  3rd Qu.:12.000                     
##  Max.   :28.000                     
##  NA's   :510
##       INDEX TARGET_FLAG  TARGET_AMT    KIDSDRIV         AGE    HOMEKIDS 
##           0           0           0           0           6           0 
##         YOJ      INCOME     PARENT1    HOME_VAL     MSTATUS         SEX 
##         454           0           0           0           0           0 
##   EDUCATION         JOB    TRAVTIME     CAR_USE    BLUEBOOK         TIF 
##           0           0           0           0           0           0 
##    CAR_TYPE     RED_CAR    OLDCLAIM    CLM_FREQ     REVOKED     MVR_PTS 
##           0           0           0           0           0           0 
##     CAR_AGE  URBANICITY 
##         510           0

## 
##  Variables sorted by number of missings: 
##     Variable       Count
##      CAR_AGE 0.062492342
##          YOJ 0.055630437
##          AGE 0.000735204
##        INDEX 0.000000000
##  TARGET_FLAG 0.000000000
##   TARGET_AMT 0.000000000
##     KIDSDRIV 0.000000000
##     HOMEKIDS 0.000000000
##       INCOME 0.000000000
##      PARENT1 0.000000000
##     HOME_VAL 0.000000000
##      MSTATUS 0.000000000
##          SEX 0.000000000
##    EDUCATION 0.000000000
##          JOB 0.000000000
##     TRAVTIME 0.000000000
##      CAR_USE 0.000000000
##     BLUEBOOK 0.000000000
##          TIF 0.000000000
##     CAR_TYPE 0.000000000
##      RED_CAR 0.000000000
##     OLDCLAIM 0.000000000
##     CLM_FREQ 0.000000000
##      REVOKED 0.000000000
##      MVR_PTS 0.000000000
##   URBANICITY 0.000000000
## TARGET_FLAG  TARGET_AMT    KIDSDRIV         AGE    HOMEKIDS         YOJ 
##        2141        2141           0           0           0           0 
##      INCOME     PARENT1    HOME_VAL     MSTATUS         SEX   EDUCATION 
##           0           0           0           0           0           0 
##         JOB    TRAVTIME     CAR_USE    BLUEBOOK         TIF    CAR_TYPE 
##           0           0           0           0           0           0 
##     RED_CAR    OLDCLAIM    CLM_FREQ     REVOKED     MVR_PTS     CAR_AGE 
##           0           0           0           0           0           0 
##  URBANICITY     dataset 
##           0           0

## 
##  Variables sorted by number of missings: 
##     Variable     Count
##  TARGET_FLAG 0.2078237
##   TARGET_AMT 0.2078237
##     KIDSDRIV 0.0000000
##          AGE 0.0000000
##     HOMEKIDS 0.0000000
##          YOJ 0.0000000
##       INCOME 0.0000000
##      PARENT1 0.0000000
##     HOME_VAL 0.0000000
##      MSTATUS 0.0000000
##          SEX 0.0000000
##    EDUCATION 0.0000000
##          JOB 0.0000000
##     TRAVTIME 0.0000000
##      CAR_USE 0.0000000
##     BLUEBOOK 0.0000000
##          TIF 0.0000000
##     CAR_TYPE 0.0000000
##      RED_CAR 0.0000000
##     OLDCLAIM 0.0000000
##     CLM_FREQ 0.0000000
##      REVOKED 0.0000000
##      MVR_PTS 0.0000000
##      CAR_AGE 0.0000000
##   URBANICITY 0.0000000
##      dataset 0.0000000

## 
## Call:
## glm(formula = TARGET_FLAG ~ ., family = binomial, data = partial_train)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.6006  -0.7077  -0.3941   0.6052   3.1405  
## 
## Coefficients:
##                                    Estimate    Std. Error z value Pr(>|z|)    
## (Intercept)                   -3.0693600803  0.4202229450  -7.304 2.79e-13 ***
## KIDSDRIV                       0.3515571781  0.0658502027   5.339 9.36e-08 ***
## AGE                           -0.0050351848  0.0044734510  -1.126 0.260347    
## HOMEKIDS                       0.0426963442  0.0411955054   1.036 0.300001    
## YOJ                            0.0221778993  0.0131957855   1.681 0.092825 .  
## INCOME                        -0.0000030661  0.0000012362  -2.480 0.013132 *  
## PARENT1Yes                     0.3978016192  0.1199154819   3.317 0.000909 ***
## HOME_VAL                      -0.0000004493  0.0000006003  -0.748 0.454199    
## MSTATUSYes                    -0.4991286596  0.0945496365  -5.279 1.30e-07 ***
## SEXM                           0.0037133477  0.1227904683   0.030 0.975875    
## EDUCATIONBachelors            -0.3854845322  0.1253371196  -3.076 0.002101 ** 
## EDUCATIONHigh School          -0.0091475737  0.1037292319  -0.088 0.929728    
## EDUCATIONMasters              -0.3279560593  0.1958338109  -1.675 0.094000 .  
## EDUCATIONPhD                  -0.2487331410  0.2344401680  -1.061 0.288705    
## JOBBlue Collar                 0.4315970000  0.2022684830   2.134 0.032861 *  
## JOBClerical                    0.6047165792  0.2138058567   2.828 0.004679 ** 
## JOBDoctor                     -0.4064873412  0.2882108928  -1.410 0.158427    
## JOBHome Maker                  0.2501075565  0.2326974095   1.075 0.282456    
## JOBLawyer                      0.1822093417  0.1864925422   0.977 0.328553    
## JOBManager                    -0.5038699303  0.1875203483  -2.687 0.007209 ** 
## JOBProfessional                0.2702870392  0.1941936292   1.392 0.163970    
## JOBStudent                     0.1273971725  0.2409407879   0.529 0.596980    
## TRAVTIME                       0.0154721572  0.0020477806   7.556 4.17e-14 ***
## CAR_USEPrivate                -0.7441576243  0.1001753888  -7.429 1.10e-13 ***
## BLUEBOOK                      -0.0000187317  0.0000057560  -3.254 0.001137 ** 
## TIF                           -0.0553408373  0.0080125135  -6.907 4.96e-12 ***
## CAR_TYPEPanel Truck            0.6086211407  0.1763897369   3.450 0.000560 ***
## CAR_TYPEPickup                 0.5827238152  0.1096348431   5.315 1.07e-07 ***
## CAR_TYPESports Car             0.9917174655  0.1413403633   7.017 2.27e-12 ***
## CAR_TYPESUV                    0.7917833473  0.1207154076   6.559 5.41e-11 ***
## CAR_TYPEVan                    0.5669556496  0.1390734414   4.077 4.57e-05 ***
## RED_CARyes                     0.0897210565  0.0948013768   0.946 0.343939    
## OLDCLAIM                      -0.0000198112  0.0000045289  -4.374 1.22e-05 ***
## CLM_FREQ                       0.0260684436  0.0482543598   0.540 0.589039    
## REVOKEDYes                     0.9719598057  0.1006090601   9.661  < 2e-16 ***
## MVR_PTS                        0.1185528180  0.0207643129   5.709 1.13e-08 ***
## CAR_AGE                        0.0060231801  0.0112013913   0.538 0.590772    
## URBANICITYHighly Urban/ Urban  2.3394577233  0.1210807655  19.321  < 2e-16 ***
## CAR_AGE_BRAND_NEW_FLAG         0.0844545936  0.1141947062   0.740 0.459563    
## CLM_FREQ_ZERO                 -0.5302489350  0.1324076563  -4.005 6.21e-05 ***
## HOME_VAL_ZERO                  0.2448124839  0.1514241913   1.617 0.105936    
## MVR_PTS_ZERO                   0.0466216693  0.0930405735   0.501 0.616308    
## YOJ_ZERO                       0.7252968372  0.2095690851   3.461 0.000538 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8007.9  on 6937  degrees of freedom
## Residual deviance: 6152.6  on 6895  degrees of freedom
## AIC: 6238.6
## 
## Number of Fisher Scoring iterations: 5
## Start:  AIC=6238.64
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + SEX + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + CLM_FREQ + 
##     REVOKED + MVR_PTS + CAR_AGE + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + MVR_PTS_ZERO + YOJ_ZERO
## 
##                          Df Deviance    AIC
## - SEX                     1   6152.6 6236.6
## - MVR_PTS_ZERO            1   6152.9 6236.9
## - CAR_AGE                 1   6152.9 6236.9
## - CLM_FREQ                1   6152.9 6236.9
## - CAR_AGE_BRAND_NEW_FLAG  1   6153.2 6237.2
## - HOME_VAL                1   6153.2 6237.2
## - RED_CAR                 1   6153.5 6237.5
## - HOMEKIDS                1   6153.7 6237.7
## - AGE                     1   6153.9 6237.9
## <none>                        6152.6 6238.6
## - HOME_VAL_ZERO           1   6155.3 6239.3
## - YOJ                     1   6155.5 6239.5
## - INCOME                  1   6158.9 6242.9
## - EDUCATION               4   6168.9 6246.9
## - BLUEBOOK                1   6163.4 6247.4
## - PARENT1                 1   6163.7 6247.7
## - YOJ_ZERO                1   6164.7 6248.7
## - CLM_FREQ_ZERO           1   6168.6 6252.6
## - OLDCLAIM                1   6172.3 6256.3
## - MSTATUS                 1   6180.2 6264.2
## - KIDSDRIV                1   6181.1 6265.1
## - MVR_PTS                 1   6185.8 6269.8
## - TIF                     1   6202.1 6286.1
## - JOB                     8   6220.2 6290.2
## - CAR_USE                 1   6208.7 6292.7
## - TRAVTIME                1   6209.9 6293.9
## - CAR_TYPE                5   6229.4 6305.4
## - REVOKED                 1   6244.6 6328.6
## - URBANICITY              1   6673.3 6757.3
## 
## Step:  AIC=6236.64
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + CLM_FREQ + 
##     REVOKED + MVR_PTS + CAR_AGE + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + MVR_PTS_ZERO + YOJ_ZERO
## 
##                          Df Deviance    AIC
## - MVR_PTS_ZERO            1   6152.9 6234.9
## - CAR_AGE                 1   6152.9 6234.9
## - CLM_FREQ                1   6152.9 6234.9
## - CAR_AGE_BRAND_NEW_FLAG  1   6153.2 6235.2
## - HOME_VAL                1   6153.2 6235.2
## - HOMEKIDS                1   6153.7 6235.7
## - RED_CAR                 1   6153.8 6235.8
## - AGE                     1   6153.9 6235.9
## <none>                        6152.6 6236.6
## - HOME_VAL_ZERO           1   6155.3 6237.3
## - YOJ                     1   6155.5 6237.5
## - INCOME                  1   6158.9 6240.9
## - EDUCATION               4   6168.9 6244.9
## - PARENT1                 1   6163.7 6245.7
## - YOJ_ZERO                1   6164.7 6246.7
## - BLUEBOOK                1   6165.3 6247.3
## - CLM_FREQ_ZERO           1   6168.6 6250.6
## - OLDCLAIM                1   6172.3 6254.3
## - MSTATUS                 1   6180.2 6262.2
## - KIDSDRIV                1   6181.2 6263.2
## - MVR_PTS                 1   6185.8 6267.8
## - TIF                     1   6202.1 6284.1
## - JOB                     8   6220.2 6288.2
## - CAR_USE                 1   6208.7 6290.7
## - TRAVTIME                1   6209.9 6291.9
## - CAR_TYPE                5   6242.2 6316.2
## - REVOKED                 1   6244.6 6326.6
## - URBANICITY              1   6673.4 6755.4
## 
## Step:  AIC=6234.89
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + CLM_FREQ + 
##     REVOKED + MVR_PTS + CAR_AGE + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + YOJ_ZERO
## 
##                          Df Deviance    AIC
## - CLM_FREQ                1   6153.2 6233.2
## - CAR_AGE                 1   6153.2 6233.2
## - CAR_AGE_BRAND_NEW_FLAG  1   6153.5 6233.5
## - HOME_VAL                1   6153.5 6233.5
## - HOMEKIDS                1   6154.0 6234.0
## - RED_CAR                 1   6154.1 6234.1
## - AGE                     1   6154.2 6234.2
## <none>                        6152.9 6234.9
## - HOME_VAL_ZERO           1   6155.5 6235.5
## - YOJ                     1   6155.7 6235.7
## - INCOME                  1   6159.1 6239.1
## - EDUCATION               4   6169.0 6243.0
## - PARENT1                 1   6163.9 6243.9
## - YOJ_ZERO                1   6165.0 6245.0
## - BLUEBOOK                1   6165.5 6245.5
## - CLM_FREQ_ZERO           1   6169.0 6249.0
## - OLDCLAIM                1   6172.6 6252.6
## - MSTATUS                 1   6180.4 6260.4
## - KIDSDRIV                1   6181.2 6261.2
## - TIF                     1   6202.2 6282.2
## - JOB                     8   6220.4 6286.4
## - MVR_PTS                 1   6206.5 6286.5
## - CAR_USE                 1   6209.0 6289.0
## - TRAVTIME                1   6210.3 6290.3
## - CAR_TYPE                5   6242.5 6314.5
## - REVOKED                 1   6244.9 6324.9
## - URBANICITY              1   6673.4 6753.4
## 
## Step:  AIC=6233.17
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + REVOKED + 
##     MVR_PTS + CAR_AGE + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + YOJ_ZERO
## 
##                          Df Deviance    AIC
## - CAR_AGE                 1   6153.4 6231.4
## - CAR_AGE_BRAND_NEW_FLAG  1   6153.7 6231.7
## - HOME_VAL                1   6153.7 6231.7
## - HOMEKIDS                1   6154.3 6232.3
## - RED_CAR                 1   6154.4 6232.4
## - AGE                     1   6154.4 6232.4
## <none>                        6153.2 6233.2
## - HOME_VAL_ZERO           1   6155.8 6233.8
## - YOJ                     1   6156.0 6234.0
## - INCOME                  1   6159.4 6237.4
## - EDUCATION               4   6169.3 6241.3
## - PARENT1                 1   6164.2 6242.2
## - YOJ_ZERO                1   6165.3 6243.3
## - BLUEBOOK                1   6165.8 6243.8
## - OLDCLAIM                1   6172.9 6250.9
## - MSTATUS                 1   6180.7 6258.7
## - KIDSDRIV                1   6181.6 6259.6
## - CLM_FREQ_ZERO           1   6199.3 6277.3
## - TIF                     1   6202.5 6280.5
## - JOB                     8   6220.6 6284.6
## - MVR_PTS                 1   6206.7 6284.7
## - CAR_USE                 1   6209.3 6287.3
## - TRAVTIME                1   6210.8 6288.8
## - CAR_TYPE                5   6242.9 6312.9
## - REVOKED                 1   6245.0 6323.0
## - URBANICITY              1   6673.8 6751.8
## 
## Step:  AIC=6231.44
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + REVOKED + 
##     MVR_PTS + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + CLM_FREQ_ZERO + 
##     HOME_VAL_ZERO + YOJ_ZERO
## 
##                          Df Deviance    AIC
## - CAR_AGE_BRAND_NEW_FLAG  1   6153.7 6229.7
## - HOME_VAL                1   6154.0 6230.0
## - HOMEKIDS                1   6154.5 6230.5
## - RED_CAR                 1   6154.7 6230.7
## - AGE                     1   6154.7 6230.7
## <none>                        6153.4 6231.4
## - HOME_VAL_ZERO           1   6156.1 6232.1
## - YOJ                     1   6156.3 6232.3
## - INCOME                  1   6159.6 6235.6
## - EDUCATION               4   6169.3 6239.3
## - PARENT1                 1   6164.4 6240.4
## - YOJ_ZERO                1   6165.7 6241.7
## - BLUEBOOK                1   6166.1 6242.1
## - OLDCLAIM                1   6173.1 6249.1
## - MSTATUS                 1   6181.0 6257.0
## - KIDSDRIV                1   6181.9 6257.9
## - CLM_FREQ_ZERO           1   6199.7 6275.7
## - TIF                     1   6202.7 6278.7
## - MVR_PTS                 1   6206.9 6282.9
## - JOB                     8   6221.1 6283.1
## - CAR_USE                 1   6209.6 6285.6
## - TRAVTIME                1   6211.0 6287.0
## - CAR_TYPE                5   6243.1 6311.1
## - REVOKED                 1   6245.1 6321.1
## - URBANICITY              1   6674.2 6750.2
## 
## Step:  AIC=6229.72
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     HOME_VAL + MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + 
##     BLUEBOOK + TIF + CAR_TYPE + RED_CAR + OLDCLAIM + REVOKED + 
##     MVR_PTS + URBANICITY + CLM_FREQ_ZERO + HOME_VAL_ZERO + YOJ_ZERO
## 
##                 Df Deviance    AIC
## - HOME_VAL       1   6154.3 6228.3
## - HOMEKIDS       1   6154.8 6228.8
## - RED_CAR        1   6155.0 6229.0
## - AGE            1   6155.0 6229.0
## <none>               6153.7 6229.7
## - HOME_VAL_ZERO  1   6156.4 6230.4
## - YOJ            1   6156.6 6230.6
## - INCOME         1   6160.0 6234.0
## - PARENT1        1   6164.6 6238.6
## - YOJ_ZERO       1   6166.0 6240.0
## - BLUEBOOK       1   6166.4 6240.4
## - EDUCATION      4   6173.1 6241.1
## - OLDCLAIM       1   6173.4 6247.4
## - MSTATUS        1   6181.4 6255.4
## - KIDSDRIV       1   6182.1 6256.1
## - CLM_FREQ_ZERO  1   6199.9 6273.9
## - TIF            1   6202.8 6276.8
## - MVR_PTS        1   6207.4 6281.4
## - JOB            8   6221.5 6281.5
## - CAR_USE        1   6210.0 6284.0
## - TRAVTIME       1   6211.2 6285.2
## - CAR_TYPE       5   6243.5 6309.5
## - REVOKED        1   6245.3 6319.3
## - URBANICITY     1   6674.7 6748.7
## 
## Step:  AIC=6228.26
## TARGET_FLAG ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + PARENT1 + 
##     MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + BLUEBOOK + 
##     TIF + CAR_TYPE + RED_CAR + OLDCLAIM + REVOKED + MVR_PTS + 
##     URBANICITY + CLM_FREQ_ZERO + HOME_VAL_ZERO + YOJ_ZERO
## 
##                 Df Deviance    AIC
## - HOMEKIDS       1   6155.4 6227.4
## - RED_CAR        1   6155.5 6227.5
## - AGE            1   6155.6 6227.6
## <none>               6154.3 6228.3
## - YOJ            1   6157.1 6229.1
## - PARENT1        1   6164.9 6236.9
## - INCOME         1   6165.2 6237.2
## - YOJ_ZERO       1   6166.4 6238.4
## - BLUEBOOK       1   6166.9 6238.9
## - EDUCATION      4   6173.9 6239.9
## - HOME_VAL_ZERO  1   6168.2 6240.2
## - OLDCLAIM       1   6174.1 6246.1
## - KIDSDRIV       1   6182.5 6254.5
## - MSTATUS        1   6182.6 6254.6
## - CLM_FREQ_ZERO  1   6201.1 6273.1
## - TIF            1   6203.5 6275.5
## - MVR_PTS        1   6207.7 6279.7
## - JOB            8   6223.0 6281.0
## - CAR_USE        1   6210.5 6282.5
## - TRAVTIME       1   6211.7 6283.7
## - CAR_TYPE       5   6243.9 6307.9
## - REVOKED        1   6245.9 6317.9
## - URBANICITY     1   6675.2 6747.2
## 
## Step:  AIC=6227.43
## TARGET_FLAG ~ KIDSDRIV + AGE + YOJ + INCOME + PARENT1 + MSTATUS + 
##     EDUCATION + JOB + TRAVTIME + CAR_USE + BLUEBOOK + TIF + CAR_TYPE + 
##     RED_CAR + OLDCLAIM + REVOKED + MVR_PTS + URBANICITY + CLM_FREQ_ZERO + 
##     HOME_VAL_ZERO + YOJ_ZERO
## 
##                 Df Deviance    AIC
## - RED_CAR        1   6156.7 6226.7
## <none>               6155.4 6227.4
## - AGE            1   6158.4 6228.4
## - YOJ            1   6159.7 6229.7
## - INCOME         1   6166.3 6236.3
## - BLUEBOOK       1   6168.0 6238.0
## - EDUCATION      4   6175.2 6239.2
## - HOME_VAL_ZERO  1   6169.4 6239.4
## - YOJ_ZERO       1   6169.6 6239.6
## - PARENT1        1   6172.1 6242.1
## - OLDCLAIM       1   6175.4 6245.4
## - MSTATUS        1   6182.6 6252.6
## - KIDSDRIV       1   6197.1 6267.1
## - CLM_FREQ_ZERO  1   6202.6 6272.6
## - TIF            1   6204.3 6274.3
## - MVR_PTS        1   6208.9 6278.9
## - JOB            8   6224.4 6280.4
## - CAR_USE        1   6211.8 6281.8
## - TRAVTIME       1   6212.7 6282.7
## - CAR_TYPE       5   6245.8 6307.8
## - REVOKED        1   6247.7 6317.7
## - URBANICITY     1   6676.1 6746.1
## 
## Step:  AIC=6226.71
## TARGET_FLAG ~ KIDSDRIV + AGE + YOJ + INCOME + PARENT1 + MSTATUS + 
##     EDUCATION + JOB + TRAVTIME + CAR_USE + BLUEBOOK + TIF + CAR_TYPE + 
##     OLDCLAIM + REVOKED + MVR_PTS + URBANICITY + CLM_FREQ_ZERO + 
##     HOME_VAL_ZERO + YOJ_ZERO
## 
##                 Df Deviance    AIC
## <none>               6156.7 6226.7
## - AGE            1   6159.6 6227.6
## - YOJ            1   6161.0 6229.0
## - INCOME         1   6167.7 6235.7
## - EDUCATION      4   6176.2 6238.2
## - HOME_VAL_ZERO  1   6170.8 6238.8
## - YOJ_ZERO       1   6171.0 6239.0
## - BLUEBOOK       1   6172.3 6240.3
## - PARENT1        1   6173.3 6241.3
## - OLDCLAIM       1   6176.5 6244.5
## - MSTATUS        1   6184.0 6252.0
## - KIDSDRIV       1   6198.1 6266.1
## - CLM_FREQ_ZERO  1   6203.8 6271.8
## - TIF            1   6205.7 6273.7
## - MVR_PTS        1   6210.1 6278.1
## - JOB            8   6225.1 6279.1
## - CAR_USE        1   6213.0 6281.0
## - TRAVTIME       1   6214.2 6282.2
## - CAR_TYPE       5   6249.8 6309.8
## - REVOKED        1   6249.0 6317.0
## - URBANICITY     1   6677.9 6745.9
## 
## Call:
## glm(formula = TARGET_FLAG ~ KIDSDRIV + AGE + YOJ + INCOME + PARENT1 + 
##     MSTATUS + EDUCATION + JOB + TRAVTIME + CAR_USE + BLUEBOOK + 
##     TIF + CAR_TYPE + OLDCLAIM + REVOKED + MVR_PTS + URBANICITY + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + YOJ_ZERO, family = binomial, 
##     data = partial_train)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.5999  -0.7089  -0.3973   0.5985   3.1602  
## 
## Coefficients:
##                                   Estimate   Std. Error z value Pr(>|z|)    
## (Intercept)                   -2.873652125  0.375810164  -7.647 2.06e-14 ***
## KIDSDRIV                       0.379711321  0.058791202   6.459 1.06e-10 ***
## AGE                           -0.006918847  0.004084100  -1.694 0.090248 .  
## YOJ                            0.026258085  0.012686102   2.070 0.038468 *  
## INCOME                        -0.000003524  0.000001071  -3.290 0.001003 ** 
## PARENT1Yes                     0.442056765  0.108735047   4.065 4.79e-05 ***
## MSTATUSYes                    -0.483193353  0.091867292  -5.260 1.44e-07 ***
## EDUCATIONBachelors            -0.390671272  0.118187266  -3.306 0.000948 ***
## EDUCATIONHigh School          -0.008328059  0.103144018  -0.081 0.935647    
## EDUCATIONMasters              -0.307768717  0.176130854  -1.747 0.080570 .  
## EDUCATIONPhD                  -0.234536686  0.218701408  -1.072 0.283538    
## JOBBlue Collar                 0.437402598  0.201950959   2.166 0.030320 *  
## JOBClerical                    0.617857593  0.213305023   2.897 0.003772 ** 
## JOBDoctor                     -0.389837436  0.287299969  -1.357 0.174813    
## JOBHome Maker                  0.253990414  0.230938981   1.100 0.271412    
## JOBLawyer                      0.183255110  0.186148696   0.984 0.324892    
## JOBManager                    -0.497691634  0.187136917  -2.660 0.007826 ** 
## JOBProfessional                0.271840311  0.193745542   1.403 0.160593    
## JOBStudent                     0.125877679  0.239830494   0.525 0.599680    
## TRAVTIME                       0.015487790  0.002045669   7.571 3.70e-14 ***
## CAR_USEPrivate                -0.745473050  0.100155709  -7.443 9.83e-14 ***
## BLUEBOOK                      -0.000020224  0.000005163  -3.917 8.97e-05 ***
## TIF                           -0.055018288  0.008001181  -6.876 6.14e-12 ***
## CAR_TYPEPanel Truck            0.639998427  0.164019062   3.902 9.54e-05 ***
## CAR_TYPEPickup                 0.581691881  0.109450271   5.315 1.07e-07 ***
## CAR_TYPESports Car             0.955740795  0.117586464   8.128 4.36e-16 ***
## CAR_TYPESUV                    0.747453911  0.093618654   7.984 1.42e-15 ***
## CAR_TYPEVan                    0.577538238  0.134018251   4.309 1.64e-05 ***
## OLDCLAIM                      -0.000019849  0.000004522  -4.389 1.14e-05 ***
## REVOKEDYes                     0.972042993  0.100450955   9.677  < 2e-16 ***
## MVR_PTS                        0.111334115  0.015311784   7.271 3.56e-13 ***
## URBANICITYHighly Urban/ Urban  2.341311997  0.121148200  19.326  < 2e-16 ***
## CLM_FREQ_ZERO                 -0.590409632  0.085811935  -6.880 5.97e-12 ***
## HOME_VAL_ZERO                  0.339482037  0.090688743   3.743 0.000182 ***
## YOJ_ZERO                       0.773385257  0.205374326   3.766 0.000166 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 8007.9  on 6937  degrees of freedom
## Residual deviance: 6156.7  on 6903  degrees of freedom
## AIC: 6226.7
## 
## Number of Fisher Scoring iterations: 5
## 
## Call:
## lm(formula = .outcome ~ ., data = dat)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
##  -8802  -3101  -1406    564  98959 
## 
## Coefficients:
##                                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                     5653.023    173.771  32.532  < 2e-16 ***
## KIDSDRIV                          20.884    210.715   0.099  0.92106    
## AGE                              156.030    217.453   0.718  0.47314    
## HOMEKIDS                         124.531    267.784   0.465  0.64196    
## YOJ                              -88.830    330.963  -0.268  0.78842    
## INCOME                          -305.388    313.302  -0.975  0.32982    
## PARENT1Yes                       212.990    257.277   0.828  0.40786    
## HOME_VAL                        -274.299    405.080  -0.677  0.49840    
## MSTATUSYes                      -442.846    269.372  -1.644  0.10035    
## SEXM                             663.313    343.061   1.934  0.05333 .  
## EDUCATIONBachelors               150.346    289.651   0.519  0.60378    
## `EDUCATIONHigh School`           -68.974    262.654  -0.263  0.79288    
## EDUCATIONMasters                 349.404    410.342   0.851  0.39461    
## EDUCATIONPhD                     658.120    319.491   2.060  0.03955 *  
## `JOBBlue Collar`                  79.295    552.362   0.144  0.88587    
## JOBClerical                      -30.120    475.920  -0.063  0.94954    
## JOBDoctor                       -316.361    220.795  -1.433  0.15208    
## `JOBHome Maker`                 -205.680    379.385  -0.542  0.58779    
## JOBLawyer                         67.629    281.258   0.240  0.81001    
## JOBManager                      -274.796    276.350  -0.994  0.32017    
## JOBProfessional                  159.809    387.101   0.413  0.67978    
## JOBStudent                      -112.470    455.657  -0.247  0.80507    
## TRAVTIME                          80.362    176.657   0.455  0.64923    
## CAR_USEPrivate                   -59.609    277.029  -0.215  0.82966    
## BLUEBOOK                         872.536    265.406   3.288  0.00103 ** 
## TIF                             -175.266    175.476  -0.999  0.31803    
## `CAR_TYPEPanel Truck`             -2.868    276.461  -0.010  0.99172    
## CAR_TYPEPickup                   114.732    252.885   0.454  0.65011    
## `CAR_TYPESports Car`             439.541    276.502   1.590  0.11209    
## CAR_TYPESUV                      446.367    324.892   1.374  0.16965    
## CAR_TYPEVan                      191.717    233.754   0.820  0.41223    
## RED_CARyes                         1.193    235.962   0.005  0.99597    
## OLDCLAIM                         438.228    261.818   1.674  0.09435 .  
## CLM_FREQ                         -75.347    310.972  -0.242  0.80858    
## REVOKEDYes                      -450.643    225.736  -1.996  0.04605 *  
## MVR_PTS                          257.935    252.125   1.023  0.30643    
## CAR_AGE                         -777.886    360.228  -2.159  0.03095 *  
## `URBANICITYHighly Urban/ Urban`   62.035    178.637   0.347  0.72843    
## CAR_AGE_BRAND_NEW_FLAG          -373.763    292.499  -1.278  0.20148    
## CLM_FREQ_ZERO                    275.939    350.079   0.788  0.43067    
## HOME_VAL_ZERO                   -598.813    398.309  -1.503  0.13292    
## MVR_PTS_ZERO                    -292.075    240.335  -1.215  0.22442    
## YOJ_ZERO                        -253.584    359.118  -0.706  0.48020    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7440 on 1790 degrees of freedom
## Multiple R-squared:  0.03754,    Adjusted R-squared:  0.01496 
## F-statistic: 1.663 on 42 and 1790 DF,  p-value: 0.005087
## 
## Call:
## lm(formula = TARGET_AMT ~ MSTATUS + SEX + BLUEBOOK + MVR_PTS + 
##     CAR_AGE + HOME_VAL_ZERO, data = partial_train_mv)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
##  -7820  -3061  -1551    443 100279 
## 
## Coefficients:
##                  Estimate  Std. Error t value Pr(>|t|)    
## (Intercept)    4777.20833   588.86348   8.113  9.0e-16 ***
## MSTATUSYes    -1108.59240   426.54335  -2.599  0.00942 ** 
## SEXM            796.89259   349.87287   2.278  0.02286 *  
## BLUEBOOK          0.09628     0.02110   4.562  5.4e-06 ***
## MVR_PTS         178.13202    67.08520   2.655  0.00799 ** 
## CAR_AGE         -49.64145    32.35011  -1.535  0.12508    
## HOME_VAL_ZERO  -983.74263   436.89701  -2.252  0.02446 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7419 on 1826 degrees of freedom
## Multiple R-squared:  0.02367,    Adjusted R-squared:  0.02046 
## F-statistic: 7.377 on 6 and 1826 DF,  p-value: 0.00000008168
## Estimated transformation parameters 
##         AGE    BLUEBOOK     CAR_AGE    CLM_FREQ    HOME_VAL    HOMEKIDS 
## -3.26296283  0.45557302  0.53194976  0.19001180  0.95680518  0.74940149 
##      INCOME    KIDSDRIV     MVR_PTS    OLDCLAIM  TARGET_AMT         TIF 
##  0.88488291 -1.57276435  0.20739382 -0.17762401  0.01363060 -0.02223113 
##    TRAVTIME         YOJ 
##  0.76666778  1.72079887
## 
## Call:
## lm(formula = log(TARGET_AMT) ~ . + I(BLUEBOOK^0.5) + I(MVR_PTS^0.33) + 
##     I(CAR_AGE^0.5) + I(CLM_FREQ^0.33), data = partial_train_mv)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.6691 -0.4037  0.0339  0.4154  3.1820 
## 
## Coefficients:
##                                    Estimate    Std. Error t value Pr(>|t|)    
## (Intercept)                    7.8618719723  0.9472455061   8.300  < 2e-16 ***
## KIDSDRIV                      -0.0210091648  0.0358758780  -0.586  0.55821    
## AGE                            0.0023379990  0.0024370582   0.959  0.33751    
## HOMEKIDS                       0.0178879635  0.0238438458   0.750  0.45323    
## YOJ                           -0.0101938005  0.0079900092  -1.276  0.20219    
## INCOME                        -0.0000009382  0.0000008012  -1.171  0.24175    
## PARENT1Yes                     0.0542884233  0.0662482480   0.819  0.41263    
## HOME_VAL                      -0.0000001543  0.0000003742  -0.412  0.68015    
## MSTATUSYes                    -0.1245999934  0.0578564797  -2.154  0.03140 *  
## SEXM                           0.0585241847  0.0746520574   0.784  0.43317    
## EDUCATIONBachelors            -0.0227854304  0.0734102183  -0.310  0.75630    
## EDUCATIONHigh School           0.0358840922  0.0590036663   0.608  0.54315    
## EDUCATIONMasters               0.1631380543  0.1225242620   1.331  0.18320    
## EDUCATIONPhD                   0.3587055824  0.1485019937   2.415  0.01581 *  
## JOBBlue Collar                 0.0164176109  0.1303075854   0.126  0.89975    
## JOBClerical                    0.0239650765  0.1364019973   0.176  0.86055    
## JOBDoctor                     -0.1282683879  0.1938221259  -0.662  0.50820    
## JOBHome Maker                 -0.0528801565  0.1451729156  -0.364  0.71571    
## JOBLawyer                     -0.0117809735  0.1170204174  -0.101  0.91982    
## JOBManager                     0.0058476712  0.1214736742   0.048  0.96161    
## JOBProfessional                0.0524421669  0.1293057044   0.406  0.68511    
## JOBStudent                     0.0400467308  0.1498919507   0.267  0.78937    
## TRAVTIME                       0.0005816588  0.0012507292   0.465  0.64195    
## CAR_USEPrivate                 0.0081225733  0.0596390593   0.136  0.89168    
## BLUEBOOK                      -0.0000306915  0.0000138680  -2.213  0.02702 *  
## TIF                           -0.0043425539  0.0047738415  -0.910  0.36313    
## CAR_TYPEPanel Truck            0.1526286747  0.1121675917   1.361  0.17377    
## CAR_TYPEPickup                 0.0608552491  0.0671519795   0.906  0.36494    
## CAR_TYPESports Car             0.0712524115  0.0847383777   0.841  0.40054    
## CAR_TYPESUV                    0.0653146886  0.0757588187   0.862  0.38873    
## CAR_TYPEVan                   -0.0164653177  0.0874466332  -0.188  0.85067    
## RED_CARyes                     0.0453761487  0.0559554767   0.811  0.41751    
## OLDCLAIM                       0.0000062250  0.0000027891   2.232  0.02574 *  
## CLM_FREQ                       0.0040237156  0.1777829903   0.023  0.98195    
## REVOKEDYes                    -0.1221953363  0.0601973471  -2.030  0.04251 *  
## MVR_PTS                       -0.0137411683  0.0442326125  -0.311  0.75610    
## CAR_AGE                       -0.0018976163  0.0455077607  -0.042  0.96674    
## URBANICITYHighly Urban/ Urban  0.0800512150  0.0840730328   0.952  0.34114    
## CAR_AGE_BRAND_NEW_FLAG        -0.1946721967  0.2121402535  -0.918  0.35892    
## CLM_FREQ_ZERO                 -0.1921600925  0.7141855962  -0.269  0.78791    
## HOME_VAL_ZERO                 -0.1237330016  0.0877881583  -1.409  0.15888    
## MVR_PTS_ZERO                   0.1078205663  0.3155517203   0.342  0.73263    
## YOJ_ZERO                      -0.1520776049  0.1216682410  -1.250  0.21149    
## I(BLUEBOOK^0.5)                0.0097377414  0.0031457081   3.096  0.00199 ** 
## I(MVR_PTS^0.33)                0.1845457182  0.3197204082   0.577  0.56387    
## I(CAR_AGE^0.5)                -0.0811791487  0.2885830700  -0.281  0.77851    
## I(CLM_FREQ^0.33)              -0.2405682394  0.8650852203  -0.278  0.78098    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.7989 on 1786 degrees of freedom
## Multiple R-squared:  0.04349,    Adjusted R-squared:  0.01886 
## F-statistic: 1.765 on 46 and 1786 DF,  p-value: 0.001275
## 
## Call:
## lm(formula = log(TARGET_AMT) ~ INCOME + MSTATUS + SEX + EDUCATION + 
##     BLUEBOOK + OLDCLAIM + REVOKED + CAR_AGE_BRAND_NEW_FLAG + 
##     HOME_VAL_ZERO + I(BLUEBOOK^0.5) + I(MVR_PTS^0.33) + I(CAR_AGE^0.5) + 
##     I(CLM_FREQ^0.33), data = partial_train_mv)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.6748 -0.4062  0.0355  0.4074  3.1729 
## 
## Coefficients:
##                             Estimate    Std. Error t value Pr(>|t|)    
## (Intercept)             7.9654943831  0.2125734796  37.472  < 2e-16 ***
## INCOME                 -0.0000008658  0.0000005842  -1.482  0.13847    
## MSTATUSYes             -0.1409685275  0.0463073338  -3.044  0.00237 ** 
## SEXM                    0.0775850454  0.0377528615   2.055  0.04001 *  
## EDUCATIONBachelors     -0.0212243974  0.0657778562  -0.323  0.74698    
## EDUCATIONHigh School    0.0361931277  0.0548497334   0.660  0.50943    
## EDUCATIONMasters        0.1343898368  0.0866590451   1.551  0.12113    
## EDUCATIONPhD            0.2751309338  0.1153600896   2.385  0.01718 *  
## BLUEBOOK               -0.0000240335  0.0000118019  -2.036  0.04185 *  
## OLDCLAIM                0.0000064947  0.0000026867   2.417  0.01573 *  
## REVOKEDYes             -0.1220831926  0.0587234087  -2.079  0.03776 *  
## CAR_AGE_BRAND_NEW_FLAG -0.1915551522  0.0922741045  -2.076  0.03804 *  
## HOME_VAL_ZERO          -0.0855268286  0.0474517203  -1.802  0.07165 .  
## I(BLUEBOOK^0.5)         0.0084083484  0.0028247512   2.977  0.00295 ** 
## I(MVR_PTS^0.33)         0.0857325464  0.0264456014   3.242  0.00121 ** 
## I(CAR_AGE^0.5)         -0.0867993462  0.0443324913  -1.958  0.05039 .  
## I(CLM_FREQ^0.33)       -0.0886650029  0.0377122207  -2.351  0.01882 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.7953 on 1816 degrees of freedom
## Multiple R-squared:  0.0362, Adjusted R-squared:  0.02771 
## F-statistic: 4.263 on 16 and 1816 DF,  p-value: 0.00000003044
## 
## Call:
## lm(formula = TARGET_AMT ~ ., data = partial_train_mv, weights = 1/resid_sq)
## 
## Weighted Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.7050 -0.9865 -0.9453  0.9913  2.1040 
## 
## Coefficients:
##                                    Estimate    Std. Error t value Pr(>|t|)    
## (Intercept)                    5013.3146636   169.8293491  29.520  < 2e-16 ***
## KIDSDRIV                         46.0780950    14.3524004   3.210 0.001349 ** 
## AGE                              14.0736527     1.4533264   9.684  < 2e-16 ***
## HOMEKIDS                        108.9665037    15.7935859   6.899 7.22e-12 ***
## YOJ                             -26.9412966     5.1215999  -5.260 1.61e-07 ***
## INCOME                           -0.0074204     0.0004805 -15.442  < 2e-16 ***
## PARENT1Yes                      497.2419584    38.9525964  12.765  < 2e-16 ***
## HOME_VAL                         -0.0026167     0.0002567 -10.194  < 2e-16 ***
## MSTATUSYes                     -930.1632547    41.4383092 -22.447  < 2e-16 ***
## SEXM                           1258.6013109    49.6758802  25.336  < 2e-16 ***
## EDUCATIONBachelors              350.5417079    44.2007405   7.931 3.80e-15 ***
## EDUCATIONHigh School           -141.6123146    38.1658400  -3.710 0.000213 ***
## EDUCATIONMasters                917.3368111    95.3765314   9.618  < 2e-16 ***
## EDUCATIONPhD                   2864.0199156   105.1189734  27.246  < 2e-16 ***
## JOBBlue Collar                  -71.3351821   110.0807068  -0.648 0.517051    
## JOBClerical                    -366.3859695   110.8428023  -3.305 0.000967 ***
## JOBDoctor                     -2869.2130389   130.7526071 -21.944  < 2e-16 ***
## JOBHome Maker                  -973.1898607   117.4512731  -8.286 2.27e-16 ***
## JOBLawyer                        57.1661485   119.7928048   0.477 0.633272    
## JOBManager                    -1344.1614620   107.9455841 -12.452  < 2e-16 ***
## JOBProfessional                 252.5066341   113.3406601   2.228 0.026014 *  
## JOBStudent                     -564.2579997   116.1794064  -4.857 1.30e-06 ***
## TRAVTIME                          5.3371528     0.5845873   9.130  < 2e-16 ***
## CAR_USEPrivate                 -109.0342524    34.3349297  -3.176 0.001521 ** 
## BLUEBOOK                          0.1009506     0.0020248  49.858  < 2e-16 ***
## TIF                             -45.5235109     3.3200795 -13.712  < 2e-16 ***
## CAR_TYPEPanel Truck              19.3242441    77.8426398   0.248 0.803971    
## CAR_TYPEPickup                  282.7959653    44.1532341   6.405 1.92e-10 ***
## CAR_TYPESports Car             1237.6277818    47.6169948  25.991  < 2e-16 ***
## CAR_TYPESUV                     930.7308839    41.7413261  22.298  < 2e-16 ***
## CAR_TYPEVan                     496.5832566   100.9218389   4.920 9.43e-07 ***
## RED_CARyes                       14.5530475    30.9950890   0.470 0.638750    
## OLDCLAIM                          0.0433948     0.0014985  28.958  < 2e-16 ***
## CLM_FREQ                        -46.9505784    15.6393228  -3.002 0.002718 ** 
## REVOKEDYes                    -1111.6828482    30.1370242 -36.888  < 2e-16 ***
## MVR_PTS                          93.1809366     7.2037077  12.935  < 2e-16 ***
## CAR_AGE                        -140.9543516     3.6884186 -38.215  < 2e-16 ***
## URBANICITYHighly Urban/ Urban   350.4255414    65.0788947   5.385 8.22e-08 ***
## CAR_AGE_BRAND_NEW_FLAG         -857.5151238    37.7995698 -22.686  < 2e-16 ***
## CLM_FREQ_ZERO                   587.2243291    47.8793559  12.265  < 2e-16 ***
## HOME_VAL_ZERO                 -1327.4231518    52.7637674 -25.158  < 2e-16 ***
## MVR_PTS_ZERO                   -611.3058842    31.4806654 -19.418  < 2e-16 ***
## YOJ_ZERO                       -909.4449823    68.4056165 -13.295  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.998 on 1790 degrees of freedom
## Multiple R-squared:  0.9924, Adjusted R-squared:  0.9922 
## F-statistic:  5543 on 42 and 1790 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = TARGET_AMT ~ KIDSDRIV + AGE + HOMEKIDS + YOJ + INCOME + 
##     PARENT1 + HOME_VAL + MSTATUS + SEX + EDUCATION + JOB + TRAVTIME + 
##     CAR_USE + BLUEBOOK + TIF + CAR_TYPE + OLDCLAIM + CLM_FREQ + 
##     REVOKED + MVR_PTS + CAR_AGE + URBANICITY + CAR_AGE_BRAND_NEW_FLAG + 
##     CLM_FREQ_ZERO + HOME_VAL_ZERO + MVR_PTS_ZERO + YOJ_ZERO, 
##     data = partial_train_mv, weights = 1/resid_sq)
## 
## Weighted Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.6440 -0.9868 -0.9459  0.9922  2.1758 
## 
## Coefficients:
##                                    Estimate    Std. Error t value Pr(>|t|)    
## (Intercept)                    5025.1478721   167.9123907  29.927  < 2e-16 ***
## KIDSDRIV                         45.1661681    14.2172836   3.177 0.001514 ** 
## AGE                              14.2850170     1.3815496  10.340  < 2e-16 ***
## HOMEKIDS                        111.7912434    14.5996813   7.657 3.09e-14 ***
## YOJ                             -27.9570557     4.6412563  -6.024 2.07e-09 ***
## INCOME                           -0.0075050     0.0004454 -16.851  < 2e-16 ***
## PARENT1Yes                      498.3142146    38.8771318  12.818  < 2e-16 ***
## HOME_VAL                         -0.0025917     0.0002510 -10.324  < 2e-16 ***
## MSTATUSYes                     -929.7131347    41.4182017 -22.447  < 2e-16 ***
## SEXM                           1267.1527987    46.2066157  27.424  < 2e-16 ***
## EDUCATIONBachelors              345.4232992    42.8260538   8.066 1.32e-15 ***
## EDUCATIONHigh School           -145.7922195    37.1049828  -3.929 8.85e-05 ***
## EDUCATIONMasters                910.3418282    94.1853067   9.665  < 2e-16 ***
## EDUCATIONPhD                   2857.8909048   104.2826326  27.405  < 2e-16 ***
## JOBBlue Collar                  -75.0471654   109.7725533  -0.684 0.494278    
## JOBClerical                    -374.9718160   109.3002370  -3.431 0.000616 ***
## JOBDoctor                     -2869.2196494   130.7241478 -21.949  < 2e-16 ***
## JOBHome Maker                  -980.7323639   116.3222104  -8.431  < 2e-16 ***
## JOBLawyer                        61.7666933   119.3654315   0.517 0.604900    
## JOBManager                    -1344.6621088   107.9168243 -12.460  < 2e-16 ***
## JOBProfessional                 249.0568030   113.0776385   2.203 0.027755 *  
## JOBStudent                     -574.5636422   114.0624050  -5.037 5.20e-07 ***
## TRAVTIME                          5.3109892     0.5817988   9.129  < 2e-16 ***
## CAR_USEPrivate                 -109.3684710    34.3200789  -3.187 0.001464 ** 
## BLUEBOOK                          0.1011290     0.0019884  50.861  < 2e-16 ***
## TIF                             -45.8746437     3.2340539 -14.185  < 2e-16 ***
## CAR_TYPEPanel Truck              20.2207892    77.8022794   0.260 0.794971    
## CAR_TYPEPickup                  278.9610857    43.3817941   6.430 1.63e-10 ***
## CAR_TYPESports Car             1237.3190702    47.6020924  25.993  < 2e-16 ***
## CAR_TYPESUV                     931.5627835    41.6946291  22.343  < 2e-16 ***
## CAR_TYPEVan                     494.7422106   100.8236895   4.907 1.01e-06 ***
## OLDCLAIM                          0.0434463     0.0014942  29.077  < 2e-16 ***
## CLM_FREQ                        -47.4007508    15.6065084  -3.037 0.002422 ** 
## REVOKEDYes                    -1111.6521342    30.1303939 -36.895  < 2e-16 ***
## MVR_PTS                          93.0639003     7.1978269  12.929  < 2e-16 ***
## CAR_AGE                        -140.8432655     3.6800217 -38.272  < 2e-16 ***
## URBANICITYHighly Urban/ Urban   347.4177422    64.7487450   5.366 9.12e-08 ***
## CAR_AGE_BRAND_NEW_FLAG         -856.4592656    37.7244062 -22.703  < 2e-16 ***
## CLM_FREQ_ZERO                   588.9764916    47.7233170  12.341  < 2e-16 ***
## HOME_VAL_ZERO                 -1325.0426249    52.5081822 -25.235  < 2e-16 ***
## MVR_PTS_ZERO                   -612.1860561    31.4179627 -19.485  < 2e-16 ***
## YOJ_ZERO                       -919.5847169    64.8931751 -14.171  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.9977 on 1791 degrees of freedom
## Multiple R-squared:  0.9924, Adjusted R-squared:  0.9922 
## F-statistic:  5681 on 41 and 1791 DF,  p-value: < 2.2e-16
## [1] 0.7800491
##     predicted
## true   0   1
##    0 823  78
##    1 191 131
## [1] 0.7833197
##     predicted
## true   0   1
##    0 822  79
##    1 186 136
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction   0   1
##          0 837 212
##          1  64 110
##                                           
##                Accuracy : 0.7743          
##                  95% CI : (0.7498, 0.7975)
##     No Information Rate : 0.7367          
##     P-Value [Acc > NIR] : 0.001362        
##                                           
##                   Kappa : 0.3175          
##                                           
##  Mcnemar's Test P-Value : < 2.2e-16       
##                                           
##             Sensitivity : 0.9290          
##             Specificity : 0.3416          
##          Pos Pred Value : 0.7979          
##          Neg Pred Value : 0.6322          
##              Prevalence : 0.7367          
##          Detection Rate : 0.6844          
##    Detection Prevalence : 0.8577          
##       Balanced Accuracy : 0.6353          
##                                           
##        'Positive' Class : 0               
## 

## RMSE
##  Model 4:  0 
##  Model 5:  0 
##  Model 6:  0 
##  Model 7:  0
##         1         2         3         4         5         6 
## 0.1253002 0.2650264 0.1354699 0.3458806 0.1234012 0.2787014
##           1           2           3           4           5           6 
## 0.125300235 0.265026407 0.135469877 0.345880640 0.123401226 0.278701439 
##           7           8           9          10          11          12 
## 0.379799141 0.393002543 0.035483212 0.103457728 0.023351681 0.580603858 
##          13          14          15          16          17          18 
## 0.873195148 0.104413435 0.038231848 0.666097354 0.700750693 0.160391926 
##          19          20          21          22          23          24 
## 0.612408754 0.534225055 0.169905429 0.380851263 0.048454827 0.432999739 
##          25          26          27          28          29          30 
## 0.320391515 0.415737663 0.380160887 0.501203622 0.059928976 0.123325960 
##          31          32          33          34          35          36 
## 0.138171970 0.485431389 0.068738815 0.176917927 0.181516151 0.054490849 
##          37          38          39          40          41          42 
## 0.169132384 0.158206020 0.084983206 0.609803579 0.279214410 0.558141632 
##          43          44          45          46          47          48 
## 0.015836222 0.520263310 0.004625207 0.166180387 0.068645741 0.404442275 
##          49          50          51          52          53          54 
## 0.016375316 0.662688920 0.161852308 0.340624645 0.764557892 0.063949051 
##          55          56          57          58          59          60 
## 0.260884118 0.214364302 0.365055213 0.462683354 0.073062375 0.576943142 
##          61          62          63          64          65          66 
## 0.014085762 0.044879322 0.398552098 0.135787881 0.045558216 0.307294214 
##          67          68          69          70          71          72 
## 0.827639574 0.581024279 0.182005868 0.065882557 0.024900309 0.295527953 
##          73          74          75          76          77          78 
## 0.667988985 0.259332284 0.686360501 0.249953969 0.404334344 0.272947958 
##          79          80          81          82          83          84 
## 0.201955685 0.041009311 0.580756339 0.419762795 0.453453538 0.032848003 
##          85          86          87          88          89          90 
## 0.497776032 0.616891024 0.291501167 0.323098456 0.038087304 0.698755044 
##          91          92          93          94          95          96 
## 0.070203704 0.085076189 0.048202052 0.146454038 0.051235867 0.150161586 
##          97          98          99         100         101         102 
## 0.007869956 0.416138057 0.271925269 0.129504918 0.434364954 0.416305802 
##         103         104         105         106         107         108 
## 0.653119711 0.667440023 0.085642889 0.119093420 0.180889516 0.098047854 
##         109         110         111         112         113         114 
## 0.517128105 0.293019779 0.697708767 0.030398112 0.223372273 0.193146888 
##         115         116         117         118         119         120 
## 0.672123540 0.036513869 0.017165716 0.772026047 0.544795703 0.153068025 
##         121         122         123         124         125         126 
## 0.290462844 0.832987475 0.711173819 0.375037967 0.233942451 0.422919739 
##         127         128         129         130         131         132 
## 0.381432812 0.221766413 0.218691045 0.086686866 0.090815172 0.158636972 
##         133         134         135         136         137         138 
## 0.213762198 0.073608516 0.119878036 0.227176081 0.843890574 0.561910138 
##         139         140         141         142         143         144 
## 0.045650772 0.080835362 0.044141091 0.792177793 0.113283656 0.157172289 
##         145         146         147         148         149         150 
## 0.046515319 0.580002993 0.151594127 0.097931391 0.377480917 0.026908442 
##         151         152         153         154         155         156 
## 0.468710305 0.306222597 0.740615910 0.498700185 0.313000248 0.448858284 
##         157         158         159         160         161         162 
## 0.026836843 0.187537563 0.581058683 0.548836722 0.231155374 0.180336807 
##         163         164         165         166         167         168 
## 0.292677170 0.121944766 0.591818752 0.272893729 0.036847822 0.137217321 
##         169         170         171         172         173         174 
## 0.325880048 0.149533536 0.090128399 0.599346346 0.153294005 0.848357889 
##         175         176         177         178         179         180 
## 0.301242281 0.396335142 0.621213340 0.575603638 0.731766576 0.735303399 
##         181         182         183         184         185         186 
## 0.557453195 0.198423421 0.145182816 0.257089143 0.304431351 0.305217013 
##         187         188         189         190         191         192 
## 0.049855553 0.064782291 0.166785018 0.235884345 0.527473460 0.790886500 
##         193         194         195         196         197         198 
## 0.392926432 0.373323971 0.081860156 0.593062895 0.497914179 0.197679421 
##         199         200         201         202         203         204 
## 0.258630135 0.145774489 0.206602103 0.418112002 0.079449875 0.048340984 
##         205         206         207         208         209         210 
## 0.062392648 0.013284907 0.829135936 0.035694350 0.051216664 0.056720832 
##         211         212         213         214         215         216 
## 0.027983346 0.205610893 0.637101603 0.538874293 0.082824978 0.328615779 
##         217         218         219         220         221         222 
## 0.341671477 0.081953141 0.156914654 0.044790904 0.034872408 0.053945161 
##         223         224         225         226         227         228 
## 0.393948055 0.391324817 0.084102922 0.289221713 0.574675251 0.420050446 
##         229         230         231         232         233         234 
## 0.333578334 0.157233541 0.063781079 0.047117600 0.412375273 0.107995990 
##         235         236         237         238         239         240 
## 0.010038140 0.238036032 0.086735143 0.016149392 0.024017462 0.706593060 
##         241         242         243         244         245         246 
## 0.034909175 0.117424101 0.706582324 0.222523355 0.153192105 0.462005811 
##         247         248         249         250         251         252 
## 0.299386195 0.405241630 0.056684032 0.576801491 0.582826934 0.586203106 
##         253         254         255         256         257         258 
## 0.061050345 0.310532779 0.477226178 0.207497207 0.129535608 0.364378375 
##         259         260         261         262         263         264 
## 0.587795688 0.075958172 0.068254261 0.110662914 0.159159105 0.133189377 
##         265         266         267         268         269         270 
## 0.197628373 0.084797443 0.163591478 0.108135989 0.906663104 0.451335370 
##         271         272         273         274         275         276 
## 0.556725325 0.067544123 0.332364280 0.713343820 0.102448174 0.296085507 
##         277         278         279         280         281         282 
## 0.689940818 0.190440306 0.288400845 0.223467621 0.217392983 0.227736858 
##         283         284         285         286         287         288 
## 0.288979839 0.387807757 0.288775830 0.481599314 0.024323186 0.372164151 
##         289         290         291         292         293         294 
## 0.557228946 0.743143334 0.276523286 0.144229567 0.119498262 0.497435688 
##         295         296         297         298         299         300 
## 0.041632810 0.384545771 0.224295602 0.530303949 0.067657142 0.291429996 
##         301         302         303         304         305         306 
## 0.262027564 0.068585584 0.285174522 0.389846261 0.492530363 0.407522278 
##         307         308         309         310         311         312 
## 0.111212881 0.597299284 0.019651741 0.232612692 0.719040502 0.363204473 
##         313         314         315         316         317         318 
## 0.045474035 0.912864923 0.242587716 0.134119135 0.249555398 0.122083326 
##         319         320         321         322         323         324 
## 0.611193136 0.018254563 0.194743139 0.605457790 0.166734730 0.191005460 
##         325         326         327         328         329         330 
## 0.723501431 0.382407856 0.656964322 0.187800218 0.401872132 0.247843009 
##         331         332         333         334         335         336 
## 0.064339231 0.030044447 0.764103809 0.156915276 0.243254326 0.297786483 
##         337         338         339         340         341         342 
## 0.185349601 0.562896925 0.129504295 0.039489633 0.527041689 0.460377526 
##         343         344         345         346         347         348 
## 0.271871603 0.745908215 0.024972412 0.042290505 0.116347360 0.077032738 
##         349         350         351         352         353         354 
## 0.104458521 0.200939183 0.036399121 0.234633676 0.812932902 0.778745356 
##         355         356         357         358         359         360 
## 0.116878383 0.560042041 0.435166609 0.153419000 0.024571163 0.083979460 
##         361         362         363         364         365         366 
## 0.652496331 0.242512324 0.083838427 0.526289226 0.126564622 0.429549264 
##         367         368         369         370         371         372 
## 0.127216280 0.382672134 0.050392214 0.168922640 0.153953627 0.291260210 
##         373         374         375         376         377         378 
## 0.416964777 0.209076594 0.134847548 0.601679262 0.014181395 0.165099986 
##         379         380         381         382         383         384 
## 0.028460909 0.087644959 0.093681843 0.273235426 0.332834171 0.435285556 
##         385         386         387         388         389         390 
## 0.041020741 0.371174752 0.356716698 0.163399963 0.065691981 0.677843375 
##         391         392         393         394         395         396 
## 0.211937741 0.073608944 0.226560085 0.190874932 0.046504142 0.411230375 
##         397         398         399         400         401         402 
## 0.063080545 0.353105358 0.319955006 0.430800022 0.394952959 0.229749046 
##         403         404         405         406         407         408 
## 0.101050643 0.075412794 0.100462570 0.193028815 0.014217607 0.161760879 
##         409         410         411         412         413         414 
## 0.010424041 0.163313701 0.074555639 0.785721950 0.209868658 0.023356196 
##         415         416         417         418         419         420 
## 0.601808410 0.273672099 0.013888090 0.370281700 0.006699334 0.084883197 
##         421         422         423         424         425         426 
## 0.615899766 0.615873203 0.784441411 0.030005523 0.255541874 0.375477982 
##         427         428         429         430         431         432 
## 0.084063085 0.252906621 0.508174066 0.341159305 0.347731648 0.033298026 
##         433         434         435         436         437         438 
## 0.019243318 0.019523953 0.338808292 0.714147993 0.058160041 0.038218946 
##         439         440         441         442         443         444 
## 0.185752140 0.163880022 0.022750333 0.136577402 0.075118212 0.128810349 
##         445         446         447         448         449         450 
## 0.050676123 0.026878538 0.138130276 0.126759283 0.642974276 0.763789467 
##         451         452         453         454         455         456 
## 0.075580590 0.178669024 0.454009073 0.101635130 0.328236178 0.570522388 
##         457         458         459         460         461         462 
## 0.325639172 0.805254279 0.037314403 0.360170837 0.040765404 0.014307778 
##         463         464         465         466         467         468 
## 0.018492198 0.306113704 0.027348174 0.085178050 0.810519660 0.711318996 
##         469         470         471         472         473         474 
## 0.208141986 0.337438523 0.089764055 0.831956556 0.101816225 0.065771807 
##         475         476         477         478         479         480 
## 0.225263113 0.020953449 0.726034513 0.870493722 0.031395882 0.347380659 
##         481         482         483         484         485         486 
## 0.039852651 0.234556205 0.197016933 0.384046124 0.834298520 0.601709743 
##         487         488         489         490         491         492 
## 0.153255597 0.524099727 0.241166644 0.725704938 0.534259724 0.078664939 
##         493         494         495         496         497         498 
## 0.094436169 0.261498138 0.128876192 0.607714045 0.272456164 0.067302788 
##         499         500         501         502         503         504 
## 0.443388103 0.279821109 0.217610223 0.301461881 0.777363414 0.148971563 
##         505         506         507         508         509         510 
## 0.561927637 0.059990717 0.333816315 0.225276996 0.222037087 0.266185811 
##         511         512         513         514         515         516 
## 0.072367436 0.186317005 0.237163919 0.019648901 0.183437190 0.067292643 
##         517         518         519         520         521         522 
## 0.561859274 0.482248095 0.344820143 0.530132197 0.185790848 0.169897173 
##         523         524         525         526         527         528 
## 0.286855754 0.223249612 0.140490467 0.036374634 0.041969474 0.022277728 
##         529         530         531         532         533         534 
## 0.009027082 0.175313052 0.010258657 0.207021228 0.177457916 0.368289909 
##         535         536         537         538         539         540 
## 0.040655004 0.172866663 0.245650164 0.017238289 0.141953841 0.028426429 
##         541         542         543         544         545         546 
## 0.047207977 0.095533543 0.408908519 0.442277792 0.013900850 0.220372419 
##         547         548         549         550         551         552 
## 0.077531610 0.819659757 0.446990333 0.046090124 0.141651391 0.095339405 
##         553         554         555         556         557         558 
## 0.053958008 0.464294737 0.069545330 0.108080854 0.473993223 0.048471150 
##         559         560         561         562         563         564 
## 0.392117611 0.369236692 0.066679974 0.270197797 0.365074600 0.161635371 
##         565         566         567         568         569         570 
## 0.340159960 0.122406163 0.944157315 0.324342305 0.331596544 0.504026612 
##         571         572         573         574         575         576 
## 0.135350250 0.190496602 0.254557048 0.067220519 0.085856651 0.003690727 
##         577         578         579         580         581         582 
## 0.136387646 0.110638259 0.346241751 0.207932602 0.031123886 0.615059324 
##         583         584         585         586         587         588 
## 0.072610508 0.802465701 0.052686676 0.052591728 0.085731418 0.157304490 
##         589         590         591         592         593         594 
## 0.768684569 0.541393612 0.397165189 0.176585280 0.008352753 0.458638784 
##         595         596         597         598         599         600 
## 0.497018801 0.579290803 0.501716019 0.317492844 0.222843878 0.708471760 
##         601         602         603         604         605         606 
## 0.548617313 0.252831630 0.129860228 0.155402079 0.330985679 0.440987327 
##         607         608         609         610         611         612 
## 0.551809072 0.077041369 0.173963102 0.089744184 0.109122128 0.371016894 
##         613         614         615         616         617         618 
## 0.014841915 0.025472570 0.449744447 0.024565891 0.060360510 0.350947343 
##         619         620         621         622         623         624 
## 0.220701863 0.702366768 0.227852064 0.214946646 0.092218084 0.236575548 
##         625         626         627         628         629         630 
## 0.151072793 0.748453066 0.585173287 0.091355839 0.029452662 0.499280219 
##         631         632         633         634         635         636 
## 0.026828017 0.318452166 0.120838044 0.169414531 0.173257926 0.222801172 
##         637         638         639         640         641         642 
## 0.101273549 0.658768789 0.233543084 0.226146393 0.230707453 0.318859144 
##         643         644         645         646         647         648 
## 0.038435688 0.069872212 0.268518523 0.475927499 0.359882925 0.323566111 
##         649         650         651         652         653         654 
## 0.257535206 0.323354344 0.037874225 0.110428057 0.831033052 0.005554307 
##         655         656         657         658         659         660 
## 0.140993643 0.240650519 0.326281983 0.029277700 0.217536103 0.070485633 
##         661         662         663         664         665         666 
## 0.479853779 0.458481940 0.284647782 0.216185121 0.226008960 0.481217687 
##         667         668         669         670         671         672 
## 0.285863763 0.076382310 0.332206681 0.051218864 0.211016096 0.523295430 
##         673         674         675         676         677         678 
## 0.478931551 0.064742328 0.463269627 0.203804549 0.144564429 0.347805419 
##         679         680         681         682         683         684 
## 0.033800492 0.122371425 0.432489221 0.100233081 0.427423814 0.051138217 
##         685         686         687         688         689         690 
## 0.227374922 0.075121881 0.014211462 0.300725656 0.324622934 0.189959222 
##         691         692         693         694         695         696 
## 0.170182248 0.088259511 0.020884342 0.333979991 0.080327197 0.483890844 
##         697         698         699         700         701         702 
## 0.070015493 0.337670104 0.329418898 0.218457724 0.125389024 0.056362803 
##         703         704         705         706         707         708 
## 0.336220651 0.038458117 0.089136351 0.085498770 0.230301286 0.828892013 
##         709         710         711         712         713         714 
## 0.112476335 0.094341056 0.120718667 0.036376628 0.464048955 0.221831067 
##         715         716         717         718         719         720 
## 0.033206272 0.032319425 0.030358660 0.058913256 0.039613930 0.167130619 
##         721         722         723         724         725         726 
## 0.606043004 0.053195543 0.035242417 0.035844473 0.032341763 0.170347420 
##         727         728         729         730         731         732 
## 0.054262222 0.049415316 0.090923744 0.158548317 0.633991260 0.543439003 
##         733         734         735         736         737         738 
## 0.407758823 0.069279817 0.443806108 0.533181115 0.056534876 0.085309690 
##         739         740         741         742         743         744 
## 0.281693372 0.246527658 0.712946378 0.294023329 0.755764835 0.105024342 
##         745         746         747         748         749         750 
## 0.399638106 0.501020616 0.674363521 0.135202639 0.098045984 0.305871970 
##         751         752         753         754         755         756 
## 0.115929018 0.405346687 0.551206478 0.612377941 0.031628589 0.326594591 
##         757         758         759         760         761         762 
## 0.377456219 0.330631499 0.159381077 0.334596893 0.179686906 0.742363629 
##         763         764         765         766         767         768 
## 0.365715210 0.591028167 0.588477648 0.745734821 0.366759878 0.178300375 
##         769         770         771         772         773         774 
## 0.414277029 0.076776811 0.488512646 0.625853463 0.256224022 0.582235743 
##         775         776         777         778         779         780 
## 0.034846936 0.380695257 0.071926984 0.367314275 0.153669256 0.019148831 
##         781         782         783         784         785         786 
## 0.328723052 0.813123221 0.040173158 0.315204773 0.260107957 0.424209249 
##         787         788         789         790         791         792 
## 0.060748016 0.151868633 0.370331098 0.073188247 0.057434722 0.145799490 
##         793         794         795         796         797         798 
## 0.335837973 0.283130627 0.237738302 0.260533850 0.110343334 0.742177717 
##         799         800         801         802         803         804 
## 0.684265422 0.431857084 0.079205673 0.044817758 0.065587900 0.384789708 
##         805         806         807         808         809         810 
## 0.041091402 0.119510787 0.186451984 0.165081838 0.051921020 0.438893724 
##         811         812         813         814         815         816 
## 0.347612368 0.047129352 0.083298383 0.030320626 0.321763855 0.302201521 
##         817         818         819         820         821         822 
## 0.023586505 0.561259549 0.600259607 0.344557205 0.629874897 0.242705973 
##         823         824         825         826         827         828 
## 0.424233949 0.508661531 0.612887861 0.196396327 0.236367234 0.045620255 
##         829         830         831         832         833         834 
## 0.012602688 0.141398546 0.110710856 0.069183398 0.438129075 0.022650198 
##         835         836         837         838         839         840 
## 0.049925431 0.131794865 0.196669135 0.161365087 0.050282248 0.288806747 
##         841         842         843         844         845         846 
## 0.080891964 0.095468078 0.226314670 0.036909914 0.040524885 0.040150608 
##         847         848         849         850         851         852 
## 0.511741567 0.285355285 0.692816747 0.776033774 0.575703166 0.160078408 
##         853         854         855         856         857         858 
## 0.089278787 0.206655363 0.587141339 0.003858551 0.046041354 0.105194453 
##         859         860         861         862         863         864 
## 0.841622072 0.161418003 0.121475592 0.641842600 0.208692733 0.075879143 
##         865         866         867         868         869         870 
## 0.330890989 0.130135068 0.623418663 0.116914452 0.024432367 0.699358234 
##         871         872         873         874         875         876 
## 0.058372744 0.652182399 0.132957604 0.898383168 0.522762163 0.363981977 
##         877         878         879         880         881         882 
## 0.035900079 0.116165473 0.010028479 0.494732252 0.353468092 0.119439674 
##         883         884         885         886         887         888 
## 0.089836803 0.049134487 0.632292147 0.323396176 0.773473141 0.040002748 
##         889         890         891         892         893         894 
## 0.081384168 0.152367774 0.337849963 0.139307417 0.040359416 0.035437002 
##         895         896         897         898         899         900 
## 0.065139185 0.303995711 0.317831797 0.034995586 0.360646566 0.376460948 
##         901         902         903         904         905         906 
## 0.089876435 0.133055040 0.765694364 0.004139654 0.028151020 0.170699531 
##         907         908         909         910         911         912 
## 0.499659498 0.082704585 0.438120267 0.431333724 0.770572068 0.139136708 
##         913         914         915         916         917         918 
## 0.022395142 0.210853390 0.035359517 0.464086680 0.742413904 0.552673707 
##         919         920         921         922         923         924 
## 0.188593810 0.345809422 0.226248938 0.091672629 0.097078215 0.090248914 
##         925         926         927         928         929         930 
## 0.048023039 0.033235926 0.202226614 0.031030874 0.760413241 0.023026256 
##         931         932         933         934         935         936 
## 0.226961366 0.891272407 0.025253972 0.544515188 0.359672126 0.489942218 
##         937         938         939         940         941         942 
## 0.132043577 0.317467221 0.352774029 0.335072241 0.735566420 0.077645559 
##         943         944         945         946         947         948 
## 0.549743996 0.210744098 0.486556952 0.134309464 0.306518915 0.179852166 
##         949         950         951         952         953         954 
## 0.069328982 0.435942518 0.060746039 0.276735459 0.381546660 0.421131670 
##         955         956         957         958         959         960 
## 0.047002886 0.463744923 0.231813133 0.272129447 0.306215930 0.031036193 
##         961         962         963         964         965         966 
## 0.596962772 0.309218017 0.366695604 0.093717614 0.052757966 0.647122405 
##         967         968         969         970         971         972 
## 0.332434903 0.267892187 0.089341945 0.113365290 0.657519313 0.110805235 
##         973         974         975         976         977         978 
## 0.040321673 0.509436625 0.011779936 0.265193940 0.289621210 0.101831055 
##         979         980         981         982         983         984 
## 0.107673367 0.361662775 0.099136944 0.055519787 0.678586803 0.587735635 
##         985         986         987         988         989         990 
## 0.590779600 0.569014138 0.363579231 0.057841690 0.303769930 0.509302500 
##         991         992         993         994         995         996 
## 0.129415918 0.010041113 0.199132381 0.090146613 0.378036097 0.275624647 
##         997         998         999        1000        1001        1002 
## 0.322363845 0.046147872 0.282058959 0.195521559 0.334182516 0.657791082 
##        1003        1004        1005        1006        1007        1008 
## 0.576239311 0.239583933 0.521356350 0.022413976 0.142949051 0.387861175 
##        1009        1010        1011        1012        1013        1014 
## 0.349419928 0.091821244 0.445263049 0.105009706 0.095103291 0.026450586 
##        1015        1016        1017        1018        1019        1020 
## 0.034592345 0.485558935 0.142384948 0.432183106 0.335299585 0.027682379 
##        1021        1022        1023        1024        1025        1026 
## 0.155537647 0.038733676 0.616643572 0.405670053 0.622102481 0.698546831 
##        1027        1028        1029        1030        1031        1032 
## 0.550061608 0.049418059 0.221705149 0.020720917 0.088710642 0.057180805 
##        1033        1034        1035        1036        1037        1038 
## 0.233555560 0.160199561 0.295566512 0.057387234 0.036666930 0.100374649 
##        1039        1040        1041        1042        1043        1044 
## 0.112078551 0.210539514 0.180495172 0.450803611 0.610551739 0.027691936 
##        1045        1046        1047        1048        1049        1050 
## 0.740636281 0.037193874 0.322382025 0.456889541 0.555806502 0.338877143 
##        1051        1052        1053        1054        1055        1056 
## 0.511925034 0.472687566 0.719861382 0.024639540 0.449547153 0.072870200 
##        1057        1058        1059        1060        1061        1062 
## 0.316939152 0.013997192 0.388475737 0.576869281 0.192337770 0.750222906 
##        1063        1064        1065        1066        1067        1068 
## 0.443544917 0.069995041 0.088641539 0.181858224 0.104218844 0.219841307 
##        1069        1070        1071        1072        1073        1074 
## 0.034201389 0.602686657 0.301145594 0.194117433 0.271880918 0.791049447 
##        1075        1076        1077        1078        1079        1080 
## 0.152622600 0.015916997 0.025168470 0.034323947 0.753939447 0.036937780 
##        1081        1082        1083        1084        1085        1086 
## 0.614775256 0.570120630 0.070752625 0.345677751 0.540674853 0.895953881 
##        1087        1088        1089        1090        1091        1092 
## 0.027211407 0.242839056 0.136656439 0.011839904 0.093066873 0.023401477 
##        1093        1094        1095        1096        1097        1098 
## 0.126208474 0.456590151 0.209490453 0.157291978 0.203945445 0.080827369 
##        1099        1100        1101        1102        1103        1104 
## 0.440632226 0.819032340 0.016013952 0.107442442 0.409316501 0.421221375 
##        1105        1106        1107        1108        1109        1110 
## 0.387549343 0.280766565 0.051306936 0.213316199 0.132058970 0.505164408 
##        1111        1112        1113        1114        1115        1116 
## 0.652844517 0.262100662 0.209162160 0.252823081 0.226522041 0.003772297 
##        1117        1118        1119        1120        1121        1122 
## 0.305657610 0.872107743 0.468679274 0.125125798 0.442938082 0.557913222 
##        1123        1124        1125        1126        1127        1128 
## 0.026509946 0.119891686 0.097249890 0.248526824 0.644334646 0.038880324 
##        1129        1130        1131        1132        1133        1134 
## 0.033817713 0.182490708 0.076027035 0.116201801 0.729703325 0.055030865 
##        1135        1136        1137        1138        1139        1140 
## 0.459547607 0.042535903 0.096018893 0.139563488 0.067211390 0.234771812 
##        1141        1142        1143        1144        1145        1146 
## 0.067331441 0.170374685 0.298389571 0.489512843 0.575584337 0.098743508 
##        1147        1148        1149        1150        1151        1152 
## 0.230889945 0.756625801 0.139804153 0.475558265 0.414192017 0.903084394 
##        1153        1154        1155        1156        1157        1158 
## 0.156013370 0.309681941 0.770314451 0.182681172 0.057960305 0.179204512 
##        1159        1160        1161        1162        1163        1164 
## 0.209867701 0.024554312 0.125362339 0.089309947 0.255173516 0.161040268 
##        1165        1166        1167        1168        1169        1170 
## 0.038627492 0.426443656 0.073682397 0.393513645 0.351976226 0.025736261 
##        1171        1172        1173        1174        1175        1176 
## 0.608399138 0.420237491 0.515705745 0.616345946 0.076908332 0.097089015 
##        1177        1178        1179        1180        1181        1182 
## 0.300489254 0.019646516 0.355398297 0.643233743 0.069505699 0.898497426 
##        1183        1184        1185        1186        1187        1188 
## 0.205650257 0.400107262 0.878163727 0.061621054 0.054014403 0.051366688 
##        1189        1190        1191        1192        1193        1194 
## 0.231968935 0.205807760 0.343591269 0.094341142 0.022753124 0.624628483 
##        1195        1196        1197        1198        1199        1200 
## 0.210455788 0.027892643 0.138811275 0.034486548 0.522894535 0.417415840 
##        1201        1202        1203        1204        1205        1206 
## 0.187874912 0.230789422 0.239525504 0.274150639 0.145266739 0.019948074 
##        1207        1208        1209        1210        1211        1212 
## 0.603146072 0.142864257 0.185877656 0.422201215 0.032453349 0.281238334 
##        1213        1214        1215        1216        1217        1218 
## 0.633794746 0.017369033 0.064714830 0.018432794 0.623098718 0.400824107 
##        1219        1220        1221        1222        1223        1224 
## 0.079380786 0.076567218 0.028298585 0.228773105 0.787065709 0.337369707 
##        1225        1226        1227        1228        1229        1230 
## 0.744775702 0.020955540 0.029687490 0.063579025 0.351490506 0.593251020 
##        1231        1232        1233        1234        1235        1236 
## 0.121704747 0.310053166 0.335275541 0.770083074 0.025531384 0.008402415 
##        1237        1238        1239        1240        1241        1242 
## 0.015931765 0.770989299 0.090175011 0.037578119 0.248565859 0.005281986 
##        1243        1244        1245        1246        1247        1248 
## 0.018039914 0.239753826 0.198276444 0.773902772 0.388605811 0.007067608 
##        1249        1250        1251        1252        1253        1254 
## 0.036219578 0.068550195 0.137891942 0.770498787 0.030329421 0.329947845 
##        1255        1256        1257        1258        1259        1260 
## 0.202694223 0.102455721 0.691130205 0.035659994 0.446674314 0.215827226 
##        1261        1262        1263        1264        1265        1266 
## 0.226861632 0.300425184 0.024629379 0.763160883 0.060621629 0.304862242 
##        1267        1268        1269        1270        1271        1272 
## 0.386210834 0.030101411 0.491385089 0.094187355 0.226874416 0.236632653 
##        1273        1274        1275        1276        1277        1278 
## 0.384850118 0.297653625 0.116905189 0.035884298 0.283518778 0.142624574 
##        1279        1280        1281        1282        1283        1284 
## 0.197929328 0.070161781 0.691408094 0.346102499 0.243456675 0.381181527 
##        1285        1286        1287        1288        1289        1290 
## 0.441346033 0.250518122 0.567131505 0.208453376 0.176442708 0.187533053 
##        1291        1292        1293        1294        1295        1296 
## 0.616349540 0.306207556 0.005691366 0.476711701 0.298040189 0.111479058 
##        1297        1298        1299        1300        1301        1302 
## 0.323528292 0.178545079 0.650907201 0.409894951 0.050313148 0.077516888 
##        1303        1304        1305        1306        1307        1308 
## 0.061795863 0.187130755 0.017921509 0.078404486 0.597263843 0.479033329 
##        1309        1310        1311        1312        1313        1314 
## 0.046423521 0.684301167 0.443096282 0.258551941 0.877558540 0.184289031 
##        1315        1316        1317        1318        1319        1320 
## 0.036279238 0.027080814 0.240402448 0.019761345 0.068660272 0.839349519 
##        1321        1322        1323        1324        1325        1326 
## 0.142158015 0.525098993 0.729291531 0.024816040 0.048086589 0.462923757 
##        1327        1328        1329        1330        1331        1332 
## 0.101640208 0.388452297 0.016976068 0.182402973 0.082977282 0.129805805 
##        1333        1334        1335        1336        1337        1338 
## 0.051948036 0.073055318 0.415706888 0.245949766 0.165907141 0.025749845 
##        1339        1340        1341        1342        1343        1344 
## 0.318749900 0.274723353 0.128234402 0.596833041 0.026554784 0.141408765 
##        1345        1346        1347        1348        1349        1350 
## 0.644585484 0.031636703 0.201963613 0.390475338 0.032966382 0.237441830 
##        1351        1352        1353        1354        1355        1356 
## 0.152044711 0.593955151 0.156867308 0.333980453 0.030081072 0.008246925 
##        1357        1358        1359        1360        1361        1362 
## 0.122695386 0.359865231 0.071558620 0.206727534 0.009138727 0.027478635 
##        1363        1364        1365        1366        1367        1368 
## 0.614796243 0.109861497 0.057616758 0.228957592 0.482116642 0.666791320 
##        1369        1370        1371        1372        1373        1374 
## 0.311753987 0.532050211 0.242719393 0.057549950 0.018881410 0.200781954 
##        1375        1376        1377        1378        1379        1380 
## 0.241171670 0.462938177 0.381798729 0.374825509 0.043507577 0.181095660 
##        1381        1382        1383        1384        1385        1386 
## 0.560219011 0.775277009 0.379799698 0.028948275 0.341578404 0.045776136 
##        1387        1388        1389        1390        1391        1392 
## 0.059209393 0.061819498 0.035719100 0.356202726 0.753365422 0.565065476 
##        1393        1394        1395        1396        1397        1398 
## 0.039307519 0.501055494 0.070531199 0.116106445 0.169051792 0.481682051 
##        1399        1400        1401        1402        1403        1404 
## 0.378163519 0.219218877 0.271340686 0.151520842 0.754637450 0.668352665 
##        1405        1406        1407        1408        1409        1410 
## 0.349376993 0.272829076 0.097629638 0.206623423 0.061147228 0.646452313 
##        1411        1412        1413        1414        1415        1416 
## 0.108802740 0.239598085 0.035950370 0.109026745 0.013848626 0.025064192 
##        1417        1418        1419        1420        1421        1422 
## 0.121247477 0.027800356 0.371779881 0.064260671 0.012369894 0.857677076 
##        1423        1424        1425        1426        1427        1428 
## 0.490964248 0.074092678 0.335674484 0.881336934 0.025625698 0.145283647 
##        1429        1430        1431        1432        1433        1434 
## 0.509045811 0.063415906 0.428046788 0.015825871 0.066822142 0.200152097 
##        1435        1436        1437        1438        1439        1440 
## 0.100875317 0.397780170 0.427032763 0.626023673 0.098454479 0.029987915 
##        1441        1442        1443        1444        1445        1446 
## 0.056923009 0.792522550 0.452311233 0.066770887 0.184390955 0.592476948 
##        1447        1448        1449        1450        1451        1452 
## 0.558760737 0.376316958 0.188465866 0.082292773 0.109121110 0.323858723 
##        1453        1454        1455        1456        1457        1458 
## 0.201132595 0.048342474 0.030177695 0.085354920 0.712937579 0.061765272 
##        1459        1460        1461        1462        1463        1464 
## 0.095274457 0.061385354 0.009369041 0.154947771 0.018225494 0.435120660 
##        1465        1466        1467        1468        1469        1470 
## 0.215998473 0.320118278 0.031349946 0.064270063 0.147632551 0.496850004 
##        1471        1472        1473        1474        1475        1476 
## 0.159113968 0.126111695 0.055593157 0.182393635 0.289693559 0.005797926 
##        1477        1478        1479        1480        1481        1482 
## 0.562220488 0.235797148 0.093005448 0.052206039 0.413057729 0.008985437 
##        1483        1484        1485        1486        1487        1488 
## 0.369874526 0.275645632 0.495798681 0.276343345 0.183901871 0.278690511 
##        1489        1490        1491        1492        1493        1494 
## 0.793806122 0.138080357 0.102755215 0.768491369 0.093140964 0.046145853 
##        1495        1496        1497        1498        1499        1500 
## 0.729942903 0.350767218 0.129529382 0.025168589 0.015430391 0.051618914 
##        1501        1502        1503        1504        1505        1506 
## 0.019524758 0.481947763 0.279566874 0.775565597 0.180499836 0.420160615 
##        1507        1508        1509        1510        1511        1512 
## 0.673121629 0.312234659 0.233249134 0.189392581 0.039279948 0.161060059 
##        1513        1514        1515        1516        1517        1518 
## 0.056541823 0.253292704 0.388805598 0.450215284 0.031459655 0.526920511 
##        1519        1520        1521        1522        1523        1524 
## 0.240245047 0.056496174 0.461331588 0.062055964 0.097995753 0.305746470 
##        1525        1526        1527        1528        1529        1530 
## 0.013746530 0.406128950 0.201726494 0.348883320 0.527010191 0.705632883 
##        1531        1532        1533        1534        1535        1536 
## 0.397465177 0.475669675 0.034970097 0.043071420 0.451367320 0.385169858 
##        1537        1538        1539        1540        1541        1542 
## 0.110498291 0.334922889 0.789957597 0.705534992 0.053278182 0.249085447 
##        1543        1544        1545        1546        1547        1548 
## 0.056113616 0.491416485 0.584066935 0.201730877 0.073189869 0.335378966 
##        1549        1550        1551        1552        1553        1554 
## 0.101492896 0.146953334 0.286618882 0.121514560 0.096752853 0.745047830 
##        1555        1556        1557        1558        1559        1560 
## 0.230961864 0.054574285 0.138750905 0.040880149 0.423779269 0.244206231 
##        1561        1562        1563        1564        1565        1566 
## 0.142075267 0.547861026 0.423764891 0.486731981 0.783977764 0.269557552 
##        1567        1568        1569        1570        1571        1572 
## 0.136930349 0.228209823 0.213971552 0.482279224 0.548896676 0.077493669 
##        1573        1574        1575        1576        1577        1578 
## 0.021179723 0.384795464 0.045224010 0.500550340 0.326235912 0.052123165 
##        1579        1580        1581        1582        1583        1584 
## 0.114367489 0.217454419 0.326160083 0.020610425 0.211855923 0.068801712 
##        1585        1586        1587        1588        1589        1590 
## 0.087323019 0.042127053 0.028495427 0.387614244 0.017452936 0.336227068 
##        1591        1592        1593        1594        1595        1596 
## 0.405549637 0.841910496 0.070609616 0.128258254 0.103187829 0.141310760 
##        1597        1598        1599        1600        1601        1602 
## 0.306716983 0.152247647 0.189230123 0.482030231 0.608444537 0.289815824 
##        1603        1604        1605        1606        1607        1608 
## 0.291010516 0.624406904 0.261507523 0.824518447 0.016010918 0.054235055 
##        1609        1610        1611        1612        1613        1614 
## 0.174918250 0.876432956 0.529303320 0.110707234 0.068636229 0.386979598 
##        1615        1616        1617        1618        1619        1620 
## 0.307076855 0.590434388 0.143898848 0.637754590 0.251111185 0.345806721 
##        1621        1622        1623        1624        1625        1626 
## 0.711174890 0.026630774 0.614557244 0.189711573 0.231394180 0.282383674 
##        1627        1628        1629        1630        1631        1632 
## 0.324841928 0.047822626 0.150784686 0.862232210 0.089670397 0.792851764 
##        1633        1634        1635        1636        1637        1638 
## 0.112363796 0.390914790 0.162308697 0.201488681 0.520654184 0.218990978 
##        1639        1640        1641        1642        1643        1644 
## 0.246457681 0.365472257 0.041558952 0.236338221 0.166387939 0.137985517 
##        1645        1646        1647        1648        1649        1650 
## 0.367073719 0.016839076 0.230619698 0.155739917 0.038806447 0.560655174 
##        1651        1652        1653        1654        1655        1656 
## 0.200453150 0.010501533 0.261507600 0.029289144 0.588752381 0.400079361 
##        1657        1658        1659        1660        1661        1662 
## 0.003508224 0.059790215 0.159119493 0.085203698 0.578625551 0.694994287 
##        1663        1664        1665        1666        1667        1668 
## 0.498992011 0.642099201 0.929764336 0.021912866 0.376044437 0.310470085 
##        1669        1670        1671        1672        1673        1674 
## 0.843604549 0.120616214 0.605950557 0.246461675 0.736907797 0.128946544 
##        1675        1676        1677        1678        1679        1680 
## 0.037696084 0.262664990 0.044821929 0.060300915 0.181050952 0.284077957 
##        1681        1682        1683        1684        1685        1686 
## 0.067856172 0.815249832 0.695064638 0.227481118 0.431135684 0.196485745 
##        1687        1688        1689        1690        1691        1692 
## 0.040295529 0.379931210 0.019259833 0.050139800 0.053192516 0.101959780 
##        1693        1694        1695        1696        1697        1698 
## 0.056295480 0.558411010 0.331159771 0.738811792 0.152202051 0.606991621 
##        1699        1700        1701        1702        1703        1704 
## 0.862062797 0.045657567 0.369721358 0.024599706 0.060078717 0.411656284 
##        1705        1706        1707        1708        1709        1710 
## 0.165512208 0.127492332 0.697528920 0.264318818 0.764411306 0.077644950 
##        1711        1712        1713        1714        1715        1716 
## 0.321362395 0.009055468 0.517879406 0.230654012 0.341378523 0.030986691 
##        1717        1718        1719        1720        1721        1722 
## 0.087978359 0.055142048 0.412381993 0.053953333 0.373217842 0.314565822 
##        1723        1724        1725        1726        1727        1728 
## 0.216468408 0.267176736 0.346435093 0.004472008 0.140844059 0.291896354 
##        1729        1730        1731        1732        1733        1734 
## 0.758213716 0.372636701 0.426703807 0.048316433 0.026192169 0.369072426 
##        1735        1736        1737        1738        1739        1740 
## 0.117329392 0.055055193 0.406726877 0.213299240 0.239590644 0.034404140 
##        1741        1742        1743        1744        1745        1746 
## 0.884315487 0.258111286 0.041953744 0.034181639 0.343556418 0.120101326 
##        1747        1748        1749        1750        1751        1752 
## 0.206290680 0.242176179 0.552281255 0.228876286 0.217294189 0.262786820 
##        1753        1754        1755        1756        1757        1758 
## 0.173015048 0.682834790 0.034521187 0.128398895 0.128120153 0.501154631 
##        1759        1760        1761        1762        1763        1764 
## 0.216840455 0.142472855 0.581875647 0.043053743 0.144545110 0.068749731 
##        1765        1766        1767        1768        1769        1770 
## 0.286905009 0.686042337 0.043642996 0.310967232 0.094827985 0.115655301 
##        1771        1772        1773        1774        1775        1776 
## 0.015034035 0.099825113 0.242466057 0.828004836 0.356264338 0.036623087 
##        1777        1778        1779        1780        1781        1782 
## 0.508499278 0.402655962 0.549889686 0.396472208 0.141155372 0.105331149 
##        1783        1784        1785        1786        1787        1788 
## 0.280410371 0.284766014 0.256931502 0.103639968 0.193912685 0.019334729 
##        1789        1790        1791        1792        1793        1794 
## 0.842910986 0.349767575 0.095187787 0.139786456 0.276576710 0.284656509 
##        1795        1796        1797        1798        1799        1800 
## 0.241539643 0.414400611 0.015944408 0.154382661 0.049790059 0.300016924 
##        1801        1802        1803        1804        1805        1806 
## 0.477809521 0.191795044 0.118973991 0.203335023 0.114469329 0.401533276 
##        1807        1808        1809        1810        1811        1812 
## 0.716165030 0.621496369 0.189071189 0.143466831 0.122275629 0.079961368 
##        1813        1814        1815        1816        1817        1818 
## 0.659254110 0.340112090 0.440955544 0.080962382 0.043248114 0.173571891 
##        1819        1820        1821        1822        1823        1824 
## 0.197888446 0.354830378 0.036010462 0.150335376 0.036556560 0.275143968 
##        1825        1826        1827        1828        1829        1830 
## 0.387974142 0.733814993 0.212733929 0.414168455 0.007342766 0.343976305 
##        1831        1832        1833        1834        1835        1836 
## 0.208786119 0.086754047 0.134773555 0.121753733 0.386393767 0.115820622 
##        1837        1838        1839        1840        1841        1842 
## 0.134257626 0.855145243 0.057984003 0.735075618 0.054385164 0.043083745 
##        1843        1844        1845        1846        1847        1848 
## 0.278479835 0.144649461 0.050905372 0.071045709 0.096193898 0.093234220 
##        1849        1850        1851        1852        1853        1854 
## 0.322403365 0.108557383 0.375342784 0.170437723 0.282269084 0.005228877 
##        1855        1856        1857        1858        1859        1860 
## 0.015149865 0.312332101 0.045903433 0.239420949 0.127128654 0.039181618 
##        1861        1862        1863        1864        1865        1866 
## 0.267850144 0.016533247 0.153747393 0.265005216 0.325578237 0.165457080 
##        1867        1868        1869        1870        1871        1872 
## 0.089221136 0.051491030 0.311088468 0.386587362 0.522326016 0.239759197 
##        1873        1874        1875        1876        1877        1878 
## 0.042210070 0.049702152 0.273883578 0.157151569 0.023686127 0.749233426 
##        1879        1880        1881        1882        1883        1884 
## 0.360163407 0.370838472 0.127405716 0.069736282 0.048184522 0.137589005 
##        1885        1886        1887        1888        1889        1890 
## 0.428414736 0.254875054 0.177728965 0.086501234 0.239962617 0.382129533 
##        1891        1892        1893        1894        1895        1896 
## 0.055485820 0.315699218 0.024076830 0.018968019 0.321644908 0.189011656 
##        1897        1898        1899        1900        1901        1902 
## 0.260605371 0.215843251 0.130835481 0.607139305 0.243658186 0.303120052 
##        1903        1904        1905        1906        1907        1908 
## 0.035906165 0.353553528 0.246580306 0.027630852 0.017454238 0.169344419 
##        1909        1910        1911        1912        1913        1914 
## 0.318152555 0.829729967 0.489682380 0.389537543 0.063541650 0.201967258 
##        1915        1916        1917        1918        1919        1920 
## 0.513229967 0.448913408 0.122211257 0.035570874 0.041531384 0.208383971 
##        1921        1922        1923        1924        1925        1926 
## 0.024021282 0.437068331 0.093289330 0.133430565 0.305190738 0.005592530 
##        1927        1928        1929        1930        1931        1932 
## 0.233921502 0.128273125 0.012825092 0.146180059 0.008594457 0.207276087 
##        1933        1934        1935        1936        1937        1938 
## 0.457182503 0.604875567 0.115514174 0.463057152 0.292009660 0.024504818 
##        1939        1940        1941        1942        1943        1944 
## 0.139621440 0.106373736 0.061180646 0.055808677 0.070300834 0.044908769 
##        1945        1946        1947        1948        1949        1950 
## 0.014126668 0.321128769 0.560499828 0.072738389 0.776026204 0.047176695 
##        1951        1952        1953        1954        1955        1956 
## 0.316498845 0.111360326 0.622955496 0.385337793 0.134733822 0.406354160 
##        1957        1958        1959        1960        1961        1962 
## 0.089871335 0.147009231 0.247385016 0.345164415 0.740166876 0.437236877 
##        1963        1964        1965        1966        1967        1968 
## 0.321080692 0.303114023 0.175213688 0.039954613 0.146191677 0.422275509 
##        1969        1970        1971        1972        1973        1974 
## 0.014108499 0.016862333 0.043385801 0.044030977 0.472793977 0.726919510 
##        1975        1976        1977        1978        1979        1980 
## 0.079903804 0.311653057 0.010124220 0.483061633 0.343050273 0.178862214 
##        1981        1982        1983        1984        1985        1986 
## 0.119799717 0.480153995 0.147009426 0.072887351 0.118348442 0.231112896 
##        1987        1988        1989        1990        1991        1992 
## 0.255853970 0.099391195 0.073686028 0.446423179 0.021689790 0.727299017 
##        1993        1994        1995        1996        1997        1998 
## 0.530482457 0.686827685 0.141121282 0.108097437 0.377969480 0.774248447 
##        1999        2000        2001        2002        2003        2004 
## 0.430853964 0.080429615 0.585076099 0.424315950 0.659920972 0.014369323 
##        2005        2006        2007        2008        2009        2010 
## 0.710832146 0.157492907 0.453550001 0.045203410 0.259425654 0.454756625 
##        2011        2012        2013        2014        2015        2016 
## 0.519510440 0.083021041 0.956562942 0.036320504 0.219551820 0.428507627 
##        2017        2018        2019        2020        2021        2022 
## 0.052709736 0.702045141 0.479850163 0.051403437 0.023112701 0.244221032 
##        2023        2024        2025        2026        2027        2028 
## 0.407902427 0.233906041 0.239279682 0.046684386 0.149245993 0.118498770 
##        2029        2030        2031        2032        2033        2034 
## 0.148964988 0.693097130 0.164761077 0.136735880 0.021541119 0.083429050 
##        2035        2036        2037        2038        2039        2040 
## 0.715684206 0.417343316 0.222900443 0.073616553 0.590712835 0.106055629 
##        2041        2042        2043        2044        2045        2046 
## 0.063300090 0.015287553 0.221429473 0.304380428 0.028622721 0.059938090 
##        2047        2048        2049        2050        2051        2052 
## 0.061641541 0.508476210 0.276811559 0.246952606 0.307671030 0.253288233 
##        2053        2054        2055        2056        2057        2058 
## 0.324571796 0.048745214 0.595973546 0.032312409 0.302151417 0.289965206 
##        2059        2060        2061        2062        2063        2064 
## 0.048065187 0.124676279 0.272126464 0.229767965 0.510945015 0.262209700 
##        2065        2066        2067        2068        2069        2070 
## 0.328470542 0.056102476 0.361370792 0.900103853 0.242140898 0.010913861 
##        2071        2072        2073        2074        2075        2076 
## 0.100787069 0.272827775 0.497994317 0.399770776 0.024293804 0.084845090 
##        2077        2078        2079        2080        2081        2082 
## 0.754789509 0.267497164 0.297100536 0.909856246 0.026870860 0.326800018 
##        2083        2084        2085        2086        2087        2088 
## 0.313917855 0.017532623 0.036482445 0.057267494 0.247020556 0.567100454 
##        2089        2090        2091        2092        2093        2094 
## 0.092435335 0.584179942 0.140243486 0.033532099 0.518246441 0.145528443 
##        2095        2096        2097        2098        2099        2100 
## 0.276896994 0.622926011 0.223380926 0.425353066 0.627331206 0.615207441 
##        2101        2102        2103        2104        2105        2106 
## 0.583628335 0.321794484 0.873797203 0.206011416 0.017588615 0.164696882 
##        2107        2108        2109        2110        2111        2112 
## 0.643349727 0.010549297 0.302840546 0.020181762 0.822219909 0.079273974 
##        2113        2114        2115        2116        2117        2118 
## 0.363784719 0.021918573 0.089601566 0.036337290 0.398773373 0.406375297 
##        2119        2120        2121        2122        2123        2124 
## 0.936460517 0.236022743 0.050502025 0.276100143 0.745655082 0.364432354 
##        2125        2126        2127        2128        2129        2130 
## 0.294692103 0.035482606 0.349178369 0.135014620 0.051647328 0.029290822 
##        2131        2132        2133        2134        2135        2136 
## 0.149110402 0.228424242 0.157457850 0.289498238 0.480295578 0.020255491 
##        2137        2138        2139        2140        2141 
## 0.388166939 0.019378916 0.008136379 0.251677719 0.151363720
##        1        2        3        4        5        6        7        8 
## 8.442120 8.413817 8.108086 8.265690 8.628542 8.288995 8.171602 8.550894 
##        9       10       11       12       13       14       15       16 
## 8.303878 8.588039 8.436331 8.321247 8.219679 8.262980 8.184436 8.407919 
##       17       18       19       20       21       22       23       24 
## 8.039184 8.434346 8.329897 8.217271 8.386531 8.191449 8.477919 8.265501 
##       25       26       27       28       29       30       31       32 
## 8.264509 8.176075 8.406725 8.307718 8.269605 8.479700 8.044217 8.395596 
##       33       34       35       36       37       38       39       40 
## 8.391484 8.408648 8.171587 8.369948 8.411425 8.655197 8.250022 8.207520 
##       41       42       43       44       45       46       47       48 
## 8.165172 8.206564 8.543948 8.481270 8.170964 8.163152 8.099099 8.371921 
##       49       50       51       52       53       54       55       56 
## 8.292968 8.162442 8.061492 8.349618 8.292721 8.468445 8.156077 8.455541 
##       57       58       59       60       61       62       63       64 
## 8.429365 8.406064 8.420683 8.033030 8.198271 8.370326 8.299762 8.428953 
##       65       66       67       68       69       70       71       72 
## 8.241717 8.003228 8.175617 8.448799 8.425143 8.261650 8.131653 8.354396 
##       73       74       75       76       77       78       79       80 
## 8.225033 8.037408 8.229033 8.086653 8.271207 8.356562 8.198263 8.088269 
##       81       82       83       84       85       86       87       88 
## 8.071918 8.414871 8.222916 8.349683 8.193649 8.431012 8.223231 8.237467 
##       89       90       91       92       93       94       95       96 
## 8.396691 8.230876 8.458848 8.182352 8.157842 8.201782 8.446169 8.353790 
##       97       98       99      100      101      102      103      104 
## 8.238854 8.367749 8.450125 8.111222 7.993938 8.461493 8.285849 8.385581 
##      105      106      107      108      109      110      111      112 
## 8.335696 8.283005 8.372012 8.388217 8.304468 8.143748 8.088661 7.995504 
##      113      114      115      116      117      118      119      120 
## 8.134129 8.192992 8.359862 8.170229 8.052562 8.136205 8.170521 8.139935 
##      121      122      123      124      125      126      127      128 
## 8.162051 8.127025 8.159292 8.274539 8.202411 8.189439 8.248380 8.175864 
##      129      130      131      132      133      134      135      136 
## 8.243537 8.273739 8.334646 8.358733 8.082737 8.213041 8.244884 8.274003 
##      137      138      139      140      141      142      143      144 
## 8.472749 8.542438 8.345194 8.123201 8.173874 8.247292 8.342758 8.241670 
##      145      146      147      148      149      150      151      152 
## 8.262239 8.211004 8.366780 8.290778 8.630967 8.558921 8.454209 8.309721 
##      153      154      155      156      157      158      159      160 
## 8.350447 7.915930 8.383876 8.334091 8.388667 8.036281 8.264467 8.333222 
##      161      162      163      164      165      166      167      168 
## 8.224845 8.218350 8.163088 8.010775 8.438438 8.241233 8.465627 8.195899 
##      169      170      171      172      173      174      175      176 
## 8.242772 8.516026 8.374774 8.541963 8.458295 8.423995 8.466968 8.063858 
##      177      178      179      180      181      182      183      184 
## 8.380020 8.208184 8.553606 8.060825 8.373166 8.489985 8.113769 8.476000 
##      185      186      187      188      189      190      191      192 
## 8.355677 8.163966 8.534584 8.132305 8.467623 8.553382 8.071771 8.189421 
##      193      194      195      196      197      198      199      200 
## 8.618036 8.132909 8.246273 8.159491 8.320132 8.343788 8.241275 8.319323 
##      201      202      203      204      205      206      207      208 
## 8.317886 8.130805 8.143054 8.393711 8.131182 8.143191 8.221852 8.576349 
##      209      210      211      212      213      214      215      216 
## 8.288500 8.401062 8.480467 8.441742 8.337108 8.094620 7.976115 8.396112 
##      217      218      219      220      221      222      223      224 
## 8.317915 8.171238 8.388710 8.283808 8.534071 8.457596 8.176729 8.202287 
##      225      226      227      228      229      230      231      232 
## 7.993056 8.372200 8.378670 8.046089 8.345052 8.372243 8.161826 8.478141 
##      233      234      235      236      237      238      239      240 
## 8.582793 8.396309 8.164002 8.186117 8.505152 8.369984 8.429230 8.290439 
##      241      242      243      244      245      246      247      248 
## 8.247945 8.392683 8.360097 8.479394 8.203140 8.291977 8.160095 8.240358 
##      249      250      251      252      253      254      255      256 
## 8.163179 8.377988 8.201629 8.407246 8.201299 8.315134 8.240208 8.443902 
##      257      258      259      260      261      262      263      264 
## 8.330059 8.276929 8.077205 8.473957 8.193931 8.392059 8.153485 8.414188 
##      265      266      267      268      269      270      271      272 
## 8.276327 8.308206 8.197738 8.271601 8.379890 8.148743 8.329165 8.427505 
##      273      274      275      276      277      278      279      280 
## 8.379916 8.377865 8.526452 8.683035 8.483915 8.195808 8.258532 8.265246 
##      281      282      283      284      285      286      287      288 
## 8.481512 8.625358 8.243285 8.366864 8.173528 8.169869 8.233130 8.189826 
##      289      290      291      292      293      294      295      296 
## 8.051681 8.093682 8.401481 8.100484 8.095264 8.272931 8.483482 8.119666 
##      297      298      299      300      301      302      303      304 
## 8.249199 8.337948 8.358950 8.242581 8.342297 8.217824 8.117628 8.656220 
##      305      306      307      308      309      310      311      312 
## 8.111110 8.160647 8.364138 8.179616 8.205255 8.716190 8.513970 8.115992 
##      313      314      315      316      317      318      319      320 
## 8.213512 8.363472 8.328859 8.313196 8.100281 8.352306 8.489878 8.180206 
##      321      322      323      324      325      326      327      328 
## 8.360856 8.092241 8.150722 8.283426 8.246929 8.428547 8.206118 7.856844 
##      329      330      331      332      333      334      335      336 
## 8.419264 7.715302 8.310110 8.243157 8.283338 8.317809 8.388786 8.211371 
##      337      338      339      340      341      342      343      344 
## 8.342519 8.151354 8.499873 8.320722 7.974972 8.393442 8.359441 8.283715 
##      345      346      347      348      349      350      351      352 
## 8.453861 8.138036 8.122515 8.265627 8.230434 8.377442 8.108479 8.609679 
##      353      354      355      356      357      358      359      360 
## 8.383643 8.343734 8.291526 7.971406 8.289356 8.555942 8.483241 8.282520 
##      361      362      363      364      365      366      367      368 
## 8.156896 8.253855 8.350581 8.036528 8.302300 8.590014 8.201751 8.005798 
##      369      370      371      372      373      374      375      376 
## 8.271764 8.221358 8.182463 8.453340 8.400893 8.404710 8.114973 8.336800 
##      377      378      379      380      381      382      383      384 
## 8.338138 8.690551 8.334915 8.382884 8.555022 8.324236 8.363320 8.074977 
##      385      386      387      388      389      390      391      392 
## 8.423892 8.423310 8.247598 8.014609 8.356437 7.990071 8.451897 8.199220 
##      393      394      395      396      397      398      399      400 
## 8.135832 8.516464 8.195824 8.240911 8.247044 8.169117 8.244073 8.178184 
##      401      402      403      404      405      406      407      408 
## 8.151310 8.072442 8.165283 8.307089 8.271501 8.238529 8.099125 8.599327 
##      409      410      411      412      413      414      415      416 
## 8.326536 8.206791 8.386412 8.165111 8.451128 8.418013 8.340006 7.913604 
##      417      418      419      420      421      422      423      424 
## 8.294839 7.948017 8.402885 8.279832 8.190984 8.368823 8.206406 8.469831 
##      425      426      427      428      429      430      431      432 
## 8.154731 8.018547 8.155570 8.175516 8.272033 8.502657 8.066893 8.518646 
##      433      434      435      436      437      438      439      440 
## 8.158913 8.133028 8.342121 8.406216 8.212116 8.602398 8.234107 8.275683 
##      441      442      443      444      445      446      447      448 
## 8.103746 8.181117 8.004424 8.098565 8.132098 8.296125 8.450648 8.490008 
##      449      450      451      452      453      454      455      456 
## 8.395731 8.413583 8.361406 8.306692 8.362377 8.262157 8.309021 8.487392 
##      457      458      459      460      461      462      463      464 
## 8.284448 8.441383 8.555505 8.034653 8.273281 8.346187 8.418372 7.931167 
##      465      466      467      468      469      470      471      472 
## 8.652976 8.406929 8.354940 7.989996 8.142257 8.515211 8.065865 8.200678 
##      473      474      475      476      477      478      479      480 
## 8.214918 8.133286 8.280937 8.569476 8.367327 8.104574 8.310933 8.043309 
##      481      482      483      484      485      486      487      488 
## 8.279135 7.842514 8.687988 8.271164 8.079072 8.162994 8.105221 8.328557 
##      489      490      491      492      493      494      495      496 
## 8.301927 8.340208 8.461111 8.250001 8.313165 8.266612 8.523045 8.226282 
##      497      498      499      500      501      502      503      504 
## 8.203626 8.302728 8.331046 8.057219 8.315424 8.245018 8.283389 8.304229 
##      505      506      507      508      509      510      511      512 
## 8.504080 8.268608 8.182741 8.215779 8.435424 8.226907 8.409078 7.812883 
##      513      514      515      516      517      518      519      520 
## 8.465767 8.126235 8.562946 8.392282 8.438440 8.447297 8.392789 8.331275 
##      521      522      523      524      525      526      527      528 
## 8.414835 8.625117 8.378739 8.577904 8.316808 8.246068 8.435007 8.485966 
##      529      530      531      532      533      534      535      536 
## 8.340176 8.268668 8.416272 8.127001 8.449025 8.363024 8.214563 8.214472 
##      537      538      539      540      541      542      543      544 
## 8.208524 8.071636 8.657991 8.099843 8.351945 8.282258 8.181375 8.255465 
##      545      546      547      548      549      550      551      552 
## 8.235387 7.939464 8.382544 8.462418 8.419959 8.245936 8.176073 8.294759 
##      553      554      555      556      557      558      559      560 
## 8.233775 8.342951 8.209070 8.218083 8.157831 8.326853 8.397112 8.086281 
##      561      562      563      564      565      566      567      568 
## 8.153141 7.874896 8.282127 8.202224 8.030868 8.286363 8.282488 8.171615 
##      569      570      571      572      573      574      575      576 
## 8.371406 8.483321 8.268570 8.076147 8.412597 8.213434 8.256501 8.222635 
##      577      578      579      580      581      582      583      584 
## 8.384252 8.333968 7.989710 8.203305 8.196762 8.311309 8.382603 7.802873 
##      585      586      587      588      589      590      591      592 
## 8.277567 8.227819 8.468988 8.203519 8.278447 8.073511 8.254314 8.152829 
##      593      594      595      596      597      598      599      600 
## 8.312641 7.930267 8.146673 8.222036 8.354062 8.383633 8.159259 8.005004 
##      601      602      603      604      605      606      607      608 
## 8.310568 8.373427 8.335861 8.456546 8.410411 8.460639 8.348439 8.180270 
##      609      610      611      612      613      614      615      616 
## 8.547519 8.542937 8.353209 8.355945 8.292263 8.357962 8.276720 8.375719 
##      617      618      619      620      621      622      623      624 
## 8.296570 8.181163 8.446844 8.397217 8.274512 8.216298 8.449106 8.335919 
##      625      626      627      628      629      630      631      632 
## 8.430510 8.554901 8.402391 8.173519 8.320630 8.413154 8.308238 8.173553 
##      633      634      635      636      637      638      639      640 
## 8.054062 8.403534 8.070455 8.509530 8.520767 8.333222 8.133227 8.227236 
##      641      642      643      644      645      646      647      648 
## 8.222699 8.581828 8.063369 8.121101 8.338621 8.485625 8.207637 8.400387 
##      649      650      651      652      653      654      655      656 
## 8.336477 8.522011 8.281778 8.298388 8.211026 8.168889 8.171693 8.059830 
##      657      658      659      660      661      662      663      664 
## 8.228627 8.417331 8.254097 8.227489 8.146715 7.927031 8.100360 8.527121 
##      665      666      667      668      669      670      671      672 
## 8.183139 8.259932 8.492575 8.386612 8.130341 8.282576 8.367612 7.849068 
##      673      674      675      676      677      678      679      680 
## 8.039574 8.159002 8.199271 8.406774 8.436920 8.236301 8.312229 8.417129 
##      681      682      683      684      685      686      687      688 
## 8.586964 8.364791 8.415254 8.218788 7.847081 8.203346 8.275944 8.227123 
##      689      690      691      692      693      694      695      696 
## 8.316709 8.711504 8.250355 8.081691 8.403113 8.120244 8.255006 8.388178 
##      697      698      699      700      701      702      703      704 
## 8.308871 8.463441 8.317588 8.303845 8.298915 8.244216 8.230508 8.149815 
##      705      706      707      708      709      710      711      712 
## 8.277382 8.669056 8.456737 8.249840 8.443518 8.414405 8.328801 8.077637 
##      713      714      715      716      717      718      719      720 
## 8.310383 8.305766 8.249148 8.443624 8.253386 8.302346 8.537192 8.135878 
##      721      722      723      724      725      726      727      728 
## 8.204646 8.168936 8.639300 8.305494 8.298231 8.039028 8.301875 8.283492 
##      729      730      731      732      733      734      735      736 
## 8.238305 8.133683 7.936857 8.355712 8.297135 8.257236 8.440501 8.236043 
##      737      738      739      740      741      742      743      744 
## 8.405919 8.344984 7.978364 8.451394 8.332871 7.994164 8.121885 8.622644 
##      745      746      747      748      749      750      751      752 
## 8.405821 8.336580 8.403131 8.529384 8.336495 8.267977 8.346454 8.238292 
##      753      754      755      756      757      758      759      760 
## 8.081313 8.310503 7.910847 8.225432 8.305370 8.315171 8.172187 7.999014 
##      761      762      763      764      765      766      767      768 
## 8.418122 8.377323 8.503883 8.391989 8.105040 8.430246 8.046408 8.467906 
##      769      770      771      772      773      774      775      776 
## 8.679035 7.997196 8.045437 8.248302 8.587005 8.446414 8.068223 8.309475 
##      777      778      779      780      781      782      783      784 
## 8.069975 8.367646 8.328116 8.259155 8.149979 8.367138 8.415926 8.518338 
##      785      786      787      788      789      790      791      792 
## 8.255157 8.439542 8.362421 8.345376 8.141601 8.424330 8.356883 8.269026 
##      793      794      795      796      797      798      799      800 
## 8.622117 8.420031 8.132448 8.069117 8.180337 7.914137 8.399159 8.270083 
##      801      802      803      804      805      806      807      808 
## 8.462302 8.275888 8.297171 8.292816 8.289400 8.046815 8.283546 8.317529 
##      809      810      811      812      813      814      815      816 
## 8.155546 8.258601 8.321821 8.083110 8.449050 7.891677 8.299480 8.131069 
##      817      818      819      820      821      822      823      824 
## 8.289902 8.264195 8.399009 8.194739 8.215036 8.070135 8.491902 8.114163 
##      825      826      827      828      829      830      831      832 
## 8.139776 8.374524 8.328490 8.303672 8.334915 8.465811 8.369864 8.209866 
##      833      834      835      836      837      838      839      840 
## 8.359499 8.063037 8.315717 8.386457 8.435840 8.430543 8.305856 8.002599 
##      841      842      843      844      845      846      847      848 
## 8.643975 8.295313 8.384064 8.040499 8.330540 8.181361 8.202454 8.512800 
##      849      850      851      852      853      854      855      856 
## 8.277174 8.433369 8.519493 8.295025 8.464542 8.433275 8.292465 8.222798 
##      857      858      859      860      861      862      863      864 
## 8.423338 8.438402 8.085342 8.225941 8.217435 8.315005 8.489800 8.388810 
##      865      866      867      868      869      870      871      872 
## 8.247294 7.955518 8.221446 8.249853 8.209907 8.162619 8.221357 8.425204 
##      873      874      875      876      877      878      879      880 
## 8.411976 8.249095 7.850661 8.087552 8.315382 8.323066 8.057841 8.164067 
##      881      882      883      884      885      886      887      888 
## 8.422435 8.460916 8.232349 8.403140 8.275918 8.256506 8.365477 8.202759 
##      889      890      891      892      893      894      895      896 
## 8.334015 8.253769 8.361765 8.333911 8.412512 8.495761 8.201565 8.363344 
##      897      898      899      900      901      902      903      904 
## 8.335411 8.260986 8.078406 8.295619 8.225976 8.181564 8.496142 8.159613 
##      905      906      907      908      909      910      911      912 
## 8.184307 8.486818 8.499243 8.289990 8.236799 8.021160 8.316813 8.400235 
##      913      914      915      916      917      918      919      920 
## 8.262506 8.111019 8.085936 8.206341 8.526009 8.266125 8.316851 8.261984 
##      921      922      923      924      925      926      927      928 
## 8.204320 8.489230 8.338983 8.413657 8.534982 8.178997 8.446233 8.436244 
##      929      930      931      932      933      934      935      936 
## 8.303336 8.331403 8.242912 8.145797 8.618049 8.375949 8.190534 8.195729 
##      937      938      939      940      941      942      943      944 
## 8.287280 8.390970 8.495207 8.357836 8.305362 8.395505 8.001275 8.490821 
##      945      946      947      948      949      950      951      952 
## 8.340739 8.590503 8.274314 8.206528 8.129841 8.064670 8.236477 8.310025 
##      953      954      955      956      957      958      959      960 
## 8.365932 8.343659 8.394916 8.319375 8.366547 8.064236 8.293016 8.393249 
##      961      962      963      964      965      966      967      968 
## 8.280072 8.240877 8.126219 8.263999 8.369154 8.501273 8.224323 8.319982 
##      969      970      971      972      973      974      975      976 
## 8.566973 8.292299 8.307226 8.524517 8.285053 8.071610 8.257050 7.971807 
##      977      978      979      980      981      982      983      984 
## 8.400257 8.347790 8.422862 8.364046 8.233247 8.388554 8.070318 8.225062 
##      985      986      987      988      989      990      991      992 
## 7.937101 8.265382 8.353245 8.137244 8.287791 8.441273 8.334950 8.345173 
##      993      994      995      996      997      998      999     1000 
## 8.761466 8.456322 8.253094 7.892164 8.172153 8.323815 8.565058 8.307497 
##     1001     1002     1003     1004     1005     1006     1007     1008 
## 7.952876 8.390738 8.403161 8.324323 8.318495 8.580362 8.140666 8.097104 
##     1009     1010     1011     1012     1013     1014     1015     1016 
## 8.257286 8.322509 8.342998 8.630338 8.576217 8.311592 8.504250 8.229104 
##     1017     1018     1019     1020     1021     1022     1023     1024 
## 8.230515 7.967161 8.078752 8.279943 8.496886 8.255003 8.422117 8.360044 
##     1025     1026     1027     1028     1029     1030     1031     1032 
## 8.268084 8.130771 8.065040 8.195537 8.172166 7.991230 8.222931 8.101912 
##     1033     1034     1035     1036     1037     1038     1039     1040 
## 8.333959 8.301915 8.391777 7.951318 8.250202 8.192535 8.648944 8.483366 
##     1041     1042     1043     1044     1045     1046     1047     1048 
## 8.287603 8.461096 7.911924 8.201297 8.175779 8.255889 8.470474 8.370288 
##     1049     1050     1051     1052     1053     1054     1055     1056 
## 8.118464 8.466152 8.213717 8.351015 8.048563 8.063434 8.301945 8.444668 
##     1057     1058     1059     1060     1061     1062     1063     1064 
## 8.180896 8.226220 8.291887 8.342129 8.271963 7.922431 8.298826 8.312201 
##     1065     1066     1067     1068     1069     1070     1071     1072 
## 8.334488 8.259657 8.687471 8.308462 8.187851 7.978411 8.145736 8.056141 
##     1073     1074     1075     1076     1077     1078     1079     1080 
## 8.136879 8.309995 8.214074 8.303457 8.450040 8.088802 8.260817 8.287764 
##     1081     1082     1083     1084     1085     1086     1087     1088 
## 8.482749 8.312886 8.247746 8.138087 7.970741 8.327999 8.342140 8.194766 
##     1089     1090     1091     1092     1093     1094     1095     1096 
## 8.550251 8.282048 8.566192 8.257888 8.383884 8.300128 8.108020 8.175560 
##     1097     1098     1099     1100     1101     1102     1103     1104 
## 8.326806 8.318904 8.322649 7.967818 8.327134 8.317462 8.025059 8.173864 
##     1105     1106     1107     1108     1109     1110     1111     1112 
## 8.629635 8.016314 8.293322 8.323071 8.061770 8.268829 8.144013 8.556877 
##     1113     1114     1115     1116     1117     1118     1119     1120 
## 8.217017 8.135965 8.092064 8.358997 8.302223 8.370169 8.285376 8.368186 
##     1121     1122     1123     1124     1125     1126     1127     1128 
## 8.129671 7.972187 7.946415 8.398518 7.844760 8.397292 8.426503 8.358346 
##     1129     1130     1131     1132     1133     1134     1135     1136 
## 8.370236 8.529532 8.332684 8.405479 8.271671 8.169764 8.245231 8.328619 
##     1137     1138     1139     1140     1141     1142     1143     1144 
## 8.391462 8.037047 8.369407 8.659132 8.423433 8.311463 8.449156 8.263326 
##     1145     1146     1147     1148     1149     1150     1151     1152 
## 8.180250 8.449382 8.425590 8.316289 8.168003 8.403280 7.973794 8.170036 
##     1153     1154     1155     1156     1157     1158     1159     1160 
## 8.562161 8.358814 8.371798 8.246993 8.097579 8.407984 8.069334 8.260077 
##     1161     1162     1163     1164     1165     1166     1167     1168 
## 8.171715 8.440427 8.135135 8.564599 8.275465 8.459898 8.672262 8.189071 
##     1169     1170     1171     1172     1173     1174     1175     1176 
## 8.233573 8.184691 8.234469 8.326042 8.306860 8.329439 8.268044 8.140799 
##     1177     1178     1179     1180     1181     1182     1183     1184 
## 8.122024 8.212372 8.514041 8.382913 8.167595 7.902199 7.926469 8.342161 
##     1185     1186     1187     1188     1189     1190     1191     1192 
## 8.005597 8.252826 8.054627 8.111963 8.400231 8.218015 8.239911 8.326943 
##     1193     1194     1195     1196     1197     1198     1199     1200 
## 8.241376 8.049480 8.345576 8.340105 8.123937 8.259047 8.287553 8.375052 
##     1201     1202     1203     1204     1205     1206     1207     1208 
## 8.453014 8.396413 8.250230 8.121647 8.030898 8.283607 8.055092 8.298265 
##     1209     1210     1211     1212     1213     1214     1215     1216 
## 8.400066 8.154825 8.101063 8.184402 8.510997 8.476992 8.452878 8.115852 
##     1217     1218     1219     1220     1221     1222     1223     1224 
## 8.331117 7.895814 8.482344 8.227318 8.253692 8.094283 8.410178 8.416972 
##     1225     1226     1227     1228     1229     1230     1231     1232 
## 8.222442 8.327432 8.181972 8.384422 8.284678 8.434622 8.330034 8.116302 
##     1233     1234     1235     1236     1237     1238     1239     1240 
## 8.128073 8.413636 8.649600 8.348530 8.461269 8.324222 8.482901 8.170040 
##     1241     1242     1243     1244     1245     1246     1247     1248 
## 8.184585 8.320787 8.317578 8.067822 8.217827 8.518800 8.431338 8.188217 
##     1249     1250     1251     1252     1253     1254     1255     1256 
## 8.372195 8.279696 8.385099 8.225627 8.413134 8.423099 8.284630 8.345347 
##     1257     1258     1259     1260     1261     1262     1263     1264 
## 8.435602 8.457810 8.391534 8.271727 8.451389 8.431838 8.448623 8.120322 
##     1265     1266     1267     1268     1269     1270     1271     1272 
## 8.466866 8.321833 8.321103 8.031546 8.168566 8.577083 8.133019 8.440880 
##     1273     1274     1275     1276     1277     1278     1279     1280 
## 8.443098 8.399027 8.389896 8.498520 8.318671 8.419486 8.256190 8.388173 
##     1281     1282     1283     1284     1285     1286     1287     1288 
## 8.136714 8.643734 8.426336 8.197008 8.377707 8.285830 8.331989 8.364182 
##     1289     1290     1291     1292     1293     1294     1295     1296 
## 7.969142 8.166836 8.276399 8.252556 8.586550 8.249963 8.320988 8.247956 
##     1297     1298     1299     1300     1301     1302     1303     1304 
## 8.165775 8.526421 8.326050 8.479706 8.241122 7.948705 8.447254 8.456124 
##     1305     1306     1307     1308     1309     1310     1311     1312 
## 8.573223 8.376695 8.565408 8.307409 8.464727 8.216357 8.166439 8.164142 
##     1313     1314     1315     1316     1317     1318     1319     1320 
## 8.383016 8.468272 8.524938 8.265380 7.938891 8.205594 8.360022 8.214517 
##     1321     1322     1323     1324     1325     1326     1327     1328 
## 8.311970 8.433755 8.061847 8.225855 8.178519 8.501363 8.499393 8.137200 
##     1329     1330     1331     1332     1333     1334     1335     1336 
## 8.426594 7.986940 8.298786 8.019419 8.225365 8.244738 8.158523 8.001022 
##     1337     1338     1339     1340     1341     1342     1343     1344 
## 8.146392 8.153031 7.997362 8.232301 8.241579 8.183893 8.386655 8.309284 
##     1345     1346     1347     1348     1349     1350     1351     1352 
## 8.460187 8.381471 8.326227 8.313119 8.225455 8.294674 8.324422 8.069205 
##     1353     1354     1355     1356     1357     1358     1359     1360 
## 8.127775 8.395858 8.051027 8.139036 8.498530 8.486514 8.275274 8.509974 
##     1361     1362     1363     1364     1365     1366     1367     1368 
## 8.324338 8.384946 8.472737 8.333997 8.619942 8.431494 8.514097 8.082744 
##     1369     1370     1371     1372     1373     1374     1375     1376 
## 8.388183 8.445950 8.225050 8.499085 8.215585 8.168014 8.376119 8.154334 
##     1377     1378     1379     1380     1381     1382     1383     1384 
## 8.236660 8.424558 8.567210 8.451263 8.425948 8.184317 8.203935 8.112880 
##     1385     1386     1387     1388     1389     1390     1391     1392 
## 8.270356 8.342654 8.171538 8.160763 8.415009 8.118406 8.233273 8.254656 
##     1393     1394     1395     1396     1397     1398     1399     1400 
## 8.279350 8.025574 8.245875 8.513512 8.497731 8.291577 8.351268 8.115546 
##     1401     1402     1403     1404     1405     1406     1407     1408 
## 8.390796 8.260735 8.259946 8.330323 8.164764 8.500784 8.591482 8.149806 
##     1409     1410     1411     1412     1413     1414     1415     1416 
## 8.376641 8.267256 8.158181 8.516991 8.256645 8.596944 8.393547 8.216435 
##     1417     1418     1419     1420     1421     1422     1423     1424 
## 8.200798 8.268934 8.191570 8.329993 8.443328 8.250622 8.122878 8.492934 
##     1425     1426     1427     1428     1429     1430     1431     1432 
## 8.290446 8.372334 8.097850 8.509772 7.933132 8.612474 8.204151 8.258694 
##     1433     1434     1435     1436     1437     1438     1439     1440 
## 8.172692 8.003934 8.145473 8.236726 7.898535 8.054071 8.189418 8.016474 
##     1441     1442     1443     1444     1445     1446     1447     1448 
## 8.173689 8.166991 8.588071 8.387671 8.499920 8.187130 8.544206 8.275031 
##     1449     1450     1451     1452     1453     1454     1455     1456 
## 8.023413 8.013430 8.366096 8.146484 8.389042 8.188440 8.369061 8.524117 
##     1457     1458     1459     1460     1461     1462     1463     1464 
## 8.271146 8.412694 8.348552 8.076751 8.188634 8.405856 8.429572 8.148746 
##     1465     1466     1467     1468     1469     1470     1471     1472 
## 7.987546 8.432874 8.203290 8.504277 8.316424 8.226535 8.321651 8.213248 
##     1473     1474     1475     1476     1477     1478     1479     1480 
## 8.473662 8.097803 8.355586 8.363366 8.112557 8.147256 8.452407 8.239282 
##     1481     1482     1483     1484     1485     1486     1487     1488 
## 8.135763 8.341612 7.858113 8.134654 8.291713 8.422183 8.185991 8.096425 
##     1489     1490     1491     1492     1493     1494     1495     1496 
## 8.319963 8.236320 8.559791 8.291998 8.232095 8.121538 8.322847 8.270819 
##     1497     1498     1499     1500     1501     1502     1503     1504 
## 8.749013 8.231995 8.576491 8.142383 7.937864 8.240326 8.311052 8.235315 
##     1505     1506     1507     1508     1509     1510     1511     1512 
## 8.434867 8.325141 8.184981 8.226857 8.376095 8.430044 8.183616 8.272193 
##     1513     1514     1515     1516     1517     1518     1519     1520 
## 8.316029 8.514505 8.305494 8.361295 8.357965 7.921532 8.139040 8.407587 
##     1521     1522     1523     1524     1525     1526     1527     1528 
## 8.061895 8.430897 8.596925 8.233725 8.063597 8.094833 8.099556 8.329982 
##     1529     1530     1531     1532     1533     1534     1535     1536 
## 8.258714 8.230819 8.472792 8.385415 7.978247 8.215172 8.136220 8.075425 
##     1537     1538     1539     1540     1541     1542     1543     1544 
## 8.292039 8.350229 8.305456 8.383079 8.222997 8.107644 8.497821 8.192293 
##     1545     1546     1547     1548     1549     1550     1551     1552 
## 8.377348 8.295878 8.203046 8.287524 7.794235 8.271991 8.286859 8.415861 
##     1553     1554     1555     1556     1557     1558     1559     1560 
## 8.252163 8.173648 8.527850 8.102328 8.617817 8.143548 8.381284 8.371093 
##     1561     1562     1563     1564     1565     1566     1567     1568 
## 8.359099 8.634369 8.359861 8.259316 8.530253 8.425342 8.101872 8.173716 
##     1569     1570     1571     1572     1573     1574     1575     1576 
## 8.407559 8.183330 8.215648 8.301993 8.404571 8.469013 8.386264 8.246285 
##     1577     1578     1579     1580     1581     1582     1583     1584 
## 8.537155 8.321335 8.236058 8.598534 8.511280 8.249209 8.346975 8.203126 
##     1585     1586     1587     1588     1589     1590     1591     1592 
## 8.288669 8.262001 8.545721 8.075541 8.300852 8.338490 8.024066 8.272519 
##     1593     1594     1595     1596     1597     1598     1599     1600 
## 8.453880 8.355032 8.355211 8.234172 8.075894 8.470045 8.421360 8.327544 
##     1601     1602     1603     1604     1605     1606     1607     1608 
## 8.252279 8.343497 8.153626 8.445454 8.353731 8.422137 8.235095 8.382740 
##     1609     1610     1611     1612     1613     1614     1615     1616 
## 8.657877 8.180694 8.116276 8.445728 8.374196 8.482617 8.430670 8.415549 
##     1617     1618     1619     1620     1621     1622     1623     1624 
## 7.979735 8.437580 8.432910 8.217986 8.177863 8.291325 8.442741 8.683884 
##     1625     1626     1627     1628     1629     1630     1631     1632 
## 8.222235 8.317036 8.198039 8.166184 8.273752 8.260892 8.371996 8.303387 
##     1633     1634     1635     1636     1637     1638     1639     1640 
## 8.180155 8.330798 8.045091 7.855316 8.355158 8.261821 8.096191 8.477148 
##     1641     1642     1643     1644     1645     1646     1647     1648 
## 8.448879 8.154759 8.381199 8.360564 8.248014 8.306643 8.564628 8.274994 
##     1649     1650     1651     1652     1653     1654     1655     1656 
## 8.215862 8.081085 8.152412 8.346018 8.464361 8.481328 8.589929 8.443844 
##     1657     1658     1659     1660     1661     1662     1663     1664 
## 8.244250 8.327105 8.164218 8.200727 8.079890 8.477727 8.147478 8.373004 
##     1665     1666     1667     1668     1669     1670     1671     1672 
## 8.370199 8.317582 8.198354 8.339641 8.435762 8.297413 8.296661 8.662422 
##     1673     1674     1675     1676     1677     1678     1679     1680 
## 8.302420 8.402773 8.164556 8.270175 8.551246 8.344329 8.481791 8.512503 
##     1681     1682     1683     1684     1685     1686     1687     1688 
## 8.367466 8.025068 8.291743 8.211316 8.451153 7.956334 8.360939 8.282550 
##     1689     1690     1691     1692     1693     1694     1695     1696 
## 8.140394 8.447166 8.251139 8.413405 8.359905 8.314723 8.003779 8.007759 
##     1697     1698     1699     1700     1701     1702     1703     1704 
## 8.326107 8.232631 8.186809 8.447514 8.420383 8.271639 7.854235 7.753870 
##     1705     1706     1707     1708     1709     1710     1711     1712 
## 8.551191 8.337311 8.198467 8.410536 8.183523 8.270211 8.195962 8.315664 
##     1713     1714     1715     1716     1717     1718     1719     1720 
## 8.205897 8.358272 8.423427 8.255033 8.334212 8.359454 8.384444 8.372943 
##     1721     1722     1723     1724     1725     1726     1727     1728 
## 8.205835 8.125907 8.187883 8.642047 8.452370 8.367172 8.255485 8.270328 
##     1729     1730     1731     1732     1733     1734     1735     1736 
## 8.319370 8.196403 8.152834 8.260233 8.192620 8.318315 8.306914 8.289652 
##     1737     1738     1739     1740     1741     1742     1743     1744 
## 8.128238 8.088702 8.664837 8.612842 8.334281 8.241493 8.052998 8.111145 
##     1745     1746     1747     1748     1749     1750     1751     1752 
## 8.034275 8.527805 8.356994 8.250109 8.226152 8.111761 8.119214 8.356263 
##     1753     1754     1755     1756     1757     1758     1759     1760 
## 8.330325 8.233888 8.384494 8.299488 8.499103 8.147082 8.182157 8.388226 
##     1761     1762     1763     1764     1765     1766     1767     1768 
## 8.397463 8.224167 8.161505 8.390926 8.426943 8.339678 8.057255 8.267157 
##     1769     1770     1771     1772     1773     1774     1775     1776 
## 8.160483 7.651022 8.311352 8.191091 8.262488 8.358052 8.521083 8.461002 
##     1777     1778     1779     1780     1781     1782     1783     1784 
## 8.126567 8.008440 8.185433 8.382379 8.439678 8.300387 8.356471 7.947472 
##     1785     1786     1787     1788     1789     1790     1791     1792 
## 8.123678 8.157992 8.420053 8.416564 8.118330 8.608273 8.113671 8.171913 
##     1793     1794     1795     1796     1797     1798     1799     1800 
## 8.152395 8.073183 8.222892 8.237745 8.165832 8.464624 8.444447 8.237445 
##     1801     1802     1803     1804     1805     1806     1807     1808 
## 8.358781 8.303277 8.210576 8.501015 8.288386 8.271455 8.237115 8.495128 
##     1809     1810     1811     1812     1813     1814     1815     1816 
## 8.230744 8.676276 7.835825 8.375199 8.153184 8.166291 7.919814 8.143329 
##     1817     1818     1819     1820     1821     1822     1823     1824 
## 7.673468 8.045389 8.023725 8.342900 8.313405 8.381983 8.005672 8.162294 
##     1825     1826     1827     1828     1829     1830     1831     1832 
## 8.250676 8.248220 8.501573 8.455899 8.322421 8.179467 8.221926 8.253130 
##     1833     1834     1835     1836     1837     1838     1839     1840 
## 8.242329 8.031643 8.230725 8.647855 8.282581 8.344106 8.393080 8.282396 
##     1841     1842     1843     1844     1845     1846     1847     1848 
## 8.322261 8.050440 8.298432 8.298372 8.351501 8.369730 8.217905 8.183637 
##     1849     1850     1851     1852     1853     1854     1855     1856 
## 8.229687 8.243474 8.273374 8.264123 8.451607 8.157179 8.360719 8.267917 
##     1857     1858     1859     1860     1861     1862     1863     1864 
## 8.319393 8.358021 8.313413 8.111862 8.538172 8.210738 8.356075 8.214769 
##     1865     1866     1867     1868     1869     1870     1871     1872 
## 8.222129 8.320871 8.059519 8.143088 8.410992 8.176613 8.322763 8.071668 
##     1873     1874     1875     1876     1877     1878     1879     1880 
## 8.118939 8.417147 8.380010 8.126290 8.235456 8.280782 8.217422 8.287325 
##     1881     1882     1883     1884     1885     1886     1887     1888 
## 8.244740 8.310985 8.286192 8.313833 8.166101 7.946340 8.134085 8.294135 
##     1889     1890     1891     1892     1893     1894     1895     1896 
## 8.572928 8.486983 8.322565 8.237621 8.113406 8.280847 8.385278 8.288479 
##     1897     1898     1899     1900     1901     1902     1903     1904 
## 8.014913 8.321268 8.447064 8.129197 8.319951 8.565960 8.129852 8.151686 
##     1905     1906     1907     1908     1909     1910     1911     1912 
## 8.205461 8.243998 8.347651 8.495374 8.513256 8.322863 8.330551 8.470219 
##     1913     1914     1915     1916     1917     1918     1919     1920 
## 8.181980 8.474376 8.336262 8.290498 8.355194 8.175370 8.003137 8.250224 
##     1921     1922     1923     1924     1925     1926     1927     1928 
## 8.310056 7.836223 8.263483 8.228718 8.201268 8.155895 8.204717 8.276099 
##     1929     1930     1931     1932     1933     1934     1935     1936 
## 8.363075 8.377356 8.324048 8.251812 8.494021 8.324758 8.446124 8.624391 
##     1937     1938     1939     1940     1941     1942     1943     1944 
## 8.101692 8.330893 8.398208 8.332605 8.558228 8.451000 8.533689 8.452839 
##     1945     1946     1947     1948     1949     1950     1951     1952 
## 8.243364 8.176569 8.118999 8.638465 7.873113 8.449317 8.330432 8.522261 
##     1953     1954     1955     1956     1957     1958     1959     1960 
## 8.143632 8.649522 8.549325 8.193212 8.373110 8.208870 8.365094 8.327146 
##     1961     1962     1963     1964     1965     1966     1967     1968 
## 8.731260 8.426715 8.046672 8.140774 8.547218 8.375814 8.145908 8.386469 
##     1969     1970     1971     1972     1973     1974     1975     1976 
## 8.154130 8.212092 8.348814 8.190141 8.033757 8.245197 8.181418 8.246053 
##     1977     1978     1979     1980     1981     1982     1983     1984 
## 8.197785 8.308806 8.015688 8.349505 8.233130 8.272179 8.510216 8.297009 
##     1985     1986     1987     1988     1989     1990     1991     1992 
## 8.314919 8.468628 8.162179 8.268992 8.364662 8.405194 8.587754 8.158534 
##     1993     1994     1995     1996     1997     1998     1999     2000 
## 8.297133 8.345976 8.377064 8.394392 8.330813 8.269094 8.270456 7.869482 
##     2001     2002     2003     2004     2005     2006     2007     2008 
## 8.296432 8.224382 8.213828 8.139623 8.271755 8.099422 8.281575 8.318404 
##     2009     2010     2011     2012     2013     2014     2015     2016 
## 8.382484 8.192475 8.192298 8.472487 8.005137 8.449761 8.298506 8.278408 
##     2017     2018     2019     2020     2021     2022     2023     2024 
## 8.364487 8.050071 8.404130 7.938051 8.093303 8.321435 8.026521 8.600993 
##     2025     2026     2027     2028     2029     2030     2031     2032 
## 8.164185 8.072956 8.360456 8.159844 8.424327 8.044392 7.930539 8.145702 
##     2033     2034     2035     2036     2037     2038     2039     2040 
## 8.160617 8.241410 8.084658 8.268205 8.185911 8.307027 8.196256 8.070295 
##     2041     2042     2043     2044     2045     2046     2047     2048 
## 8.171095 8.337354 8.209359 8.286162 8.093596 8.200061 8.155352 8.262199 
##     2049     2050     2051     2052     2053     2054     2055     2056 
## 8.358958 8.547551 8.450154 8.253426 8.520369 8.214828 8.148896 8.400469 
##     2057     2058     2059     2060     2061     2062     2063     2064 
## 8.214994 8.262584 7.977899 8.032213 8.005580 7.899202 8.191874 8.227281 
##     2065     2066     2067     2068     2069     2070     2071     2072 
## 8.195392 8.130359 8.466781 8.056546 8.398504 8.419323 8.304227 8.141521 
##     2073     2074     2075     2076     2077     2078     2079     2080 
## 8.429472 8.470657 8.228239 8.423899 8.396019 8.291155 8.189779 8.318005 
##     2081     2082     2083     2084     2085     2086     2087     2088 
## 8.298008 8.255433 8.377997 8.463005 8.122692 8.073760 8.154023 8.174771 
##     2089     2090     2091     2092     2093     2094     2095     2096 
## 8.203346 8.100470 8.212450 8.451390 8.295330 8.613430 8.411862 8.395786 
##     2097     2098     2099     2100     2101     2102     2103     2104 
## 8.403575 8.195306 8.470119 8.057317 8.200509 8.006125 8.233552 8.299570 
##     2105     2106     2107     2108     2109     2110     2111     2112 
## 8.469034 8.124615 8.163779 8.209151 7.957157 8.329668 8.181599 8.296181 
##     2113     2114     2115     2116     2117     2118     2119     2120 
## 8.285036 8.065796 7.792223 8.308338 8.501817 8.196245 8.172801 8.209087 
##     2121     2122     2123     2124     2125     2126     2127     2128 
## 8.320886 8.393152 8.237151 8.310704 8.374791 8.461266 7.875772 8.242766 
##     2129     2130     2131     2132     2133     2134     2135     2136 
## 8.176701 8.181028 8.497813 8.292542 8.345876 8.159982 8.356761 8.343786 
##     2137     2138     2139     2140     2141 
## 7.865003 8.409831 8.143965 8.363145 8.168010
##        1        2        3        4        5        6 
## 6565.498 6719.577 3865.108 5280.465 6737.896 6696.642