BankData - Logistic Regression Analysis
Daria Chylak
We are building a logistic regression model that will answer the following question: Which variable has the most impact on clients to sign up for a service being offered by a marketing campaign? The dataset represents 17 marketing campaigns that were conducted by a Portuguese bank between May 2008 and November 2010.
data <- read.csv("bank.csv")
library(corrplot)## corrplot 0.84 loadedlibrary(ggplot2)
library(corrplot)
library(ResourceSelection)## ResourceSelection 0.3-2 2017-02-28library(pscl)## Classes and Methods for R developed in the
## Political Science Computational Laboratory
## Department of Political Science
## Stanford University
## Simon Jackman
## hurdle and zeroinfl functions by Achim Zeileislibrary(pROC)## Type 'citation("pROC")' for a citation.##
## Attaching package: 'pROC'## The following objects are masked from 'package:stats':
##
## cov, smooth, varlibrary(e1071)
library(pastecs)
library(leaps)
library(ISLR)
library(glmnet)## Loading required package: Matrix## Loading required package: foreach## Loaded glmnet 2.0-16##
## Attaching package: 'glmnet'## The following object is masked from 'package:pROC':
##
## auclibrary(rpart)
library(randomForest)## randomForest 4.6-14## Type rfNews() to see new features/changes/bug fixes.##
## Attaching package: 'randomForest'## The following object is masked from 'package:ggplot2':
##
## marginlibrary(rpart.plot)
summary(data)## age job marital education
## Min. :18.00 blue-collar:9366 divorced: 5032 primary : 6584
## 1st Qu.:33.00 management :9142 married :26241 secondary:22404
## Median :39.00 technician :7321 single :12355 tertiary :12863
## Mean :40.92 admin. :5001 unknown : 1777
## 3rd Qu.:48.00 services :4010
## Max. :95.00 retired :2184
## (Other) :6604
## default balance housing contact
## no :42844 Min. : -8019 no :19397 cellular :28295
## yes: 784 1st Qu.: 71 yes:24231 telephone: 2810
## Median : 446 unknown :12523
## Mean : 1357
## 3rd Qu.: 1422
## Max. :102127
##
## duration campaign pdays previous
## Min. : 0.0 Min. : 1.000 Min. : -1.00 Min. : 0.0000
## 1st Qu.: 103.0 1st Qu.: 1.000 1st Qu.: -1.00 1st Qu.: 0.0000
## Median : 180.0 Median : 2.000 Median : -1.00 Median : 0.0000
## Mean : 258.3 Mean : 2.768 Mean : 40.08 Mean : 0.5804
## 3rd Qu.: 319.0 3rd Qu.: 3.000 3rd Qu.: -1.00 3rd Qu.: 0.0000
## Max. :4918.0 Max. :63.000 Max. :871.00 Max. :275.0000
##
## poutcome signed.up
## failure: 4723 Min. :0.0000
## other : 1783 1st Qu.:0.0000
## success: 1438 Median :0.0000
## unknown:35684 Mean :0.1163
## 3rd Qu.:0.0000
## Max. :1.0000
## str(data)## 'data.frame': 43628 obs. of 14 variables:
## $ age : int 43 74 33 37 30 46 48 38 35 29 ...
## $ job : Factor w/ 12 levels "admin.","blue-collar",..: 7 6 5 2 10 2 5 5 5 5 ...
## $ marital : Factor w/ 3 levels "divorced","married",..: 2 2 2 2 2 2 1 2 2 3 ...
## $ education: Factor w/ 4 levels "primary","secondary",..: 3 1 3 2 3 1 2 3 3 3 ...
## $ default : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 1 1 1 ...
## $ balance : int 64 5539 373 934 1 0 635 630 925 265 ...
## $ housing : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 1 1 1 ...
## $ contact : Factor w/ 3 levels "cellular","telephone",..: 3 1 1 3 1 1 3 1 1 1 ...
## $ duration : int 230 253 384 258 69 178 236 362 200 130 ...
## $ campaign : int 2 2 1 2 21 4 2 1 4 2 ...
## $ pdays : int -1 181 -1 -1 -1 -1 -1 388 -1 94 ...
## $ previous : int 0 1 0 0 0 0 0 3 0 1 ...
## $ poutcome : Factor w/ 4 levels "failure","other",..: 4 3 4 4 4 4 4 2 4 3 ...
## $ signed.up: int 0 0 0 0 0 0 0 1 1 1 ...We will make all variables numeric and scale the data. Then we will show that our data has no missing values and run a correlation plot.
data1 <- data.frame(lapply(data, as.numeric))
str(data1)## 'data.frame': 43628 obs. of 14 variables:
## $ age : num 43 74 33 37 30 46 48 38 35 29 ...
## $ job : num 7 6 5 2 10 2 5 5 5 5 ...
## $ marital : num 2 2 2 2 2 2 1 2 2 3 ...
## $ education: num 3 1 3 2 3 1 2 3 3 3 ...
## $ default : num 1 1 1 1 1 1 1 1 1 1 ...
## $ balance : num 64 5539 373 934 1 ...
## $ housing : num 1 1 1 1 1 1 1 1 1 1 ...
## $ contact : num 3 1 1 3 1 1 3 1 1 1 ...
## $ duration : num 230 253 384 258 69 178 236 362 200 130 ...
## $ campaign : num 2 2 1 2 21 4 2 1 4 2 ...
## $ pdays : num -1 181 -1 -1 -1 -1 -1 388 -1 94 ...
## $ previous : num 0 1 0 0 0 0 0 3 0 1 ...
## $ poutcome : num 4 3 4 4 4 4 4 2 4 3 ...
## $ signed.up: num 0 0 0 0 0 0 0 1 1 1 ...attach(data)
library(caret)## Loading required package: latticelibrary(caretEnsemble)##
## Attaching package: 'caretEnsemble'## The following object is masked from 'package:ggplot2':
##
## autoplotlibrary(ROSE)## Loaded ROSE 0.0-3library(mlbench)
library(DMwR)## Loading required package: gridlibrary(rpart)
library(rpart.plot)
library(RColorBrewer)
data2 <- data.frame(scale(data1))
str(data2)## 'data.frame': 43628 obs. of 14 variables:
## $ age : num 0.196 3.116 -0.746 -0.369 -1.028 ...
## $ job : num 0.507 0.202 -0.104 -1.021 1.424 ...
## $ marital : num -0.276 -0.276 -0.276 -0.276 -0.276 ...
## $ education: num 1.037 -1.641 1.037 -0.302 1.037 ...
## $ default : num -0.135 -0.135 -0.135 -0.135 -0.135 ...
## $ balance : num -0.425 1.375 -0.323 -0.139 -0.446 ...
## $ housing : num -1.12 -1.12 -1.12 -1.12 -1.12 ...
## $ contact : num 1.518 -0.712 -0.712 1.518 -0.712 ...
## $ duration : num -0.1094 -0.0204 0.4866 -0.001 -0.7325 ...
## $ campaign : num -0.247 -0.247 -0.569 -0.247 5.87 ...
## $ pdays : num -0.411 1.41 -0.411 -0.411 -0.411 ...
## $ previous : num -0.25 0.181 -0.25 -0.25 -0.25 ...
## $ poutcome : num 0.444 -0.567 0.444 0.444 0.444 ...
## $ signed.up: num -0.363 -0.363 -0.363 -0.363 -0.363 ...sum(is.na(data2))## [1] 0library(corrplot)
BANKDATA <- cor(data2, method = "pearson")
corrplot(BANKDATA, method = "circle", type = "lower", tl.col = "black", tl.srt = 45)
Duration of phone call shows a highly positive correlation with whether or not the client signed up. This shows that duration is a significant variable in our analysis.
xyz <- lm(signed.up~duration, data = data2)
summary(xyz)##
## Call:
## lm(formula = signed.up ~ duration, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -7.4745 -0.3609 -0.1884 -0.0754 3.1384
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.400e-14 4.400e-03 0.00 1
## duration 3.944e-01 4.400e-03 89.63 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.919 on 43626 degrees of freedom
## Multiple R-squared: 0.1555, Adjusted R-squared: 0.1555
## F-statistic: 8034 on 1 and 43626 DF, p-value: < 2.2e-16xyz1 <- lm(signed.up~job, data = data2)
summary(xyz1)##
## Call:
## lm(formula = signed.up ~ job, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.4483 -0.3969 -0.3584 -0.3199 2.8122
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.393e-14 4.783e-03 0.000 1
## job 4.200e-02 4.783e-03 8.779 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9991 on 43626 degrees of freedom
## Multiple R-squared: 0.001764, Adjusted R-squared: 0.001741
## F-statistic: 77.08 on 1 and 43626 DF, p-value: < 2.2e-16xyz2 <- lm(signed.up~education, data = data2)
summary(xyz2)##
## Call:
## lm(formula = signed.up ~ education, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.5234 -0.4329 -0.3424 -0.2518 2.8674
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.331e-14 4.777e-03 0.00 1
## education 6.762e-02 4.777e-03 14.16 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9977 on 43626 degrees of freedom
## Multiple R-squared: 0.004573, Adjusted R-squared: 0.00455
## F-statistic: 200.4 on 1 and 43626 DF, p-value: < 2.2e-16xyz3 <- lm(signed.up~age, data = data2)
summary(xyz3)##
## Call:
## lm(formula = signed.up ~ age, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.4847 -0.3765 -0.3539 -0.3404 2.8081
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.385e-14 4.786e-03 0.000 1
## age 2.394e-02 4.786e-03 5.001 5.73e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9997 on 43626 degrees of freedom
## Multiple R-squared: 0.000573, Adjusted R-squared: 0.00055
## F-statistic: 25.01 on 1 and 43626 DF, p-value: 5.725e-07xyz4 <- lm(signed.up~housing, data = data2)
summary(xyz4)##
## Call:
## lm(formula = signed.up ~ housing, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.5164 -0.5164 -0.2398 -0.2398 2.8794
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -6.932e-15 4.742e-03 0.00 1
## housing -1.374e-01 4.742e-03 -28.98 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9905 on 43626 degrees of freedom
## Multiple R-squared: 0.01888, Adjusted R-squared: 0.01886
## F-statistic: 839.7 on 1 and 43626 DF, p-value: < 2.2e-16xyz5 <- lm(signed.up~ balance, data = data2)
summary(xyz)##
## Call:
## lm(formula = signed.up ~ duration, data = data2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -7.4745 -0.3609 -0.1884 -0.0754 3.1384
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.400e-14 4.400e-03 0.00 1
## duration 3.944e-01 4.400e-03 89.63 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.919 on 43626 degrees of freedom
## Multiple R-squared: 0.1555, Adjusted R-squared: 0.1555
## F-statistic: 8034 on 1 and 43626 DF, p-value: < 2.2e-16This result shows that duration, job, education, age, housing and balance are all highly significant when it comes to predicting a sign up during a marketing campaign. This explains the variance in the dependent variable. We will develop a ROC curve and convert the coeficients to percentages.
head(data1)## age job marital education default balance housing contact duration
## 1 43 7 2 3 1 64 1 3 230
## 2 74 6 2 1 1 5539 1 1 253
## 3 33 5 2 3 1 373 1 1 384
## 4 37 2 2 2 1 934 1 3 258
## 5 30 10 2 3 1 1 1 1 69
## 6 46 2 2 1 1 0 1 1 178
## campaign pdays previous poutcome signed.up
## 1 2 -1 0 4 0
## 2 2 181 1 3 0
## 3 1 -1 0 4 0
## 4 2 -1 0 4 0
## 5 21 -1 0 4 0
## 6 4 -1 0 4 0str(data1)## 'data.frame': 43628 obs. of 14 variables:
## $ age : num 43 74 33 37 30 46 48 38 35 29 ...
## $ job : num 7 6 5 2 10 2 5 5 5 5 ...
## $ marital : num 2 2 2 2 2 2 1 2 2 3 ...
## $ education: num 3 1 3 2 3 1 2 3 3 3 ...
## $ default : num 1 1 1 1 1 1 1 1 1 1 ...
## $ balance : num 64 5539 373 934 1 ...
## $ housing : num 1 1 1 1 1 1 1 1 1 1 ...
## $ contact : num 3 1 1 3 1 1 3 1 1 1 ...
## $ duration : num 230 253 384 258 69 178 236 362 200 130 ...
## $ campaign : num 2 2 1 2 21 4 2 1 4 2 ...
## $ pdays : num -1 181 -1 -1 -1 -1 -1 388 -1 94 ...
## $ previous : num 0 1 0 0 0 0 0 3 0 1 ...
## $ poutcome : num 4 3 4 4 4 4 4 2 4 3 ...
## $ signed.up: num 0 0 0 0 0 0 0 1 1 1 ...logistic <- glm(signed.up~age+job+marital, family = binomial(link = "logit"), data = data1)
summary(logistic)##
## Call:
## glm(formula = signed.up ~ age + job + marital, family = binomial(link = "logit"),
## data = data1)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -0.7522 -0.5261 -0.4817 -0.4348 2.3962
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -3.589392 0.108450 -33.097 < 2e-16 ***
## age 0.014897 0.001500 9.932 < 2e-16 ***
## job 0.037143 0.004569 8.130 4.3e-16 ***
## marital 0.337424 0.027751 12.159 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 31368 on 43627 degrees of freedom
## Residual deviance: 31113 on 43624 degrees of freedom
## AIC: 31121
##
## Number of Fisher Scoring iterations: 5exp(coef(logistic))## (Intercept) age job marital
## 0.0276151 1.0150089 1.0378410 1.4013324library(ResourceSelection)We will divide data set into test and train. We will carve off 80 percent of the data and test 20 percent of the data.
library(ISLR)
attach(data1)## The following objects are masked from data:
##
## age, balance, campaign, contact, default, duration, education,
## housing, job, marital, pdays, poutcome, previous, signed.uphead(data1)## age job marital education default balance housing contact duration
## 1 43 7 2 3 1 64 1 3 230
## 2 74 6 2 1 1 5539 1 1 253
## 3 33 5 2 3 1 373 1 1 384
## 4 37 2 2 2 1 934 1 3 258
## 5 30 10 2 3 1 1 1 1 69
## 6 46 2 2 1 1 0 1 1 178
## campaign pdays previous poutcome signed.up
## 1 2 -1 0 4 0
## 2 2 181 1 3 0
## 3 1 -1 0 4 0
## 4 2 -1 0 4 0
## 5 21 -1 0 4 0
## 6 4 -1 0 4 0str(data1)## 'data.frame': 43628 obs. of 14 variables:
## $ age : num 43 74 33 37 30 46 48 38 35 29 ...
## $ job : num 7 6 5 2 10 2 5 5 5 5 ...
## $ marital : num 2 2 2 2 2 2 1 2 2 3 ...
## $ education: num 3 1 3 2 3 1 2 3 3 3 ...
## $ default : num 1 1 1 1 1 1 1 1 1 1 ...
## $ balance : num 64 5539 373 934 1 ...
## $ housing : num 1 1 1 1 1 1 1 1 1 1 ...
## $ contact : num 3 1 1 3 1 1 3 1 1 1 ...
## $ duration : num 230 253 384 258 69 178 236 362 200 130 ...
## $ campaign : num 2 2 1 2 21 4 2 1 4 2 ...
## $ pdays : num -1 181 -1 -1 -1 -1 -1 388 -1 94 ...
## $ previous : num 0 1 0 0 0 0 0 3 0 1 ...
## $ poutcome : num 4 3 4 4 4 4 4 2 4 3 ...
## $ signed.up: num 0 0 0 0 0 0 0 1 1 1 ...table(data1$signed.up)##
## 0 1
## 38554 5074tail(Default, 2000)## default student balance income
## 8001 No No 304.1465978 23866.936
## 8002 No No 353.6311313 40686.760
## 8003 No No 1269.4203352 39010.148
## 8004 No Yes 397.5424885 22710.866
## 8005 No No 607.1662709 49547.466
## 8006 No No 1667.4803648 47991.585
## 8007 No No 956.3113506 42971.901
## 8008 No No 668.3980286 38637.434
## 8009 No No 290.6798740 37603.972
## 8010 No Yes 826.7274558 18776.301
## 8011 No No 1102.1114592 48079.125
## 8012 No No 348.6588679 36519.090
## 8013 No Yes 991.2328292 8926.799
## 8014 No No 1224.2357824 32751.697
## 8015 No No 146.3658568 44666.932
## 8016 No Yes 697.1355800 18377.150
## 8017 No No 956.4469096 40740.329
## 8018 No Yes 1184.9094316 13276.221
## 8019 No No 1702.2366830 36530.474
## 8020 No No 0.0000000 36850.971
## 8021 No No 965.4597617 25045.726
## 8022 No No 331.1643387 25922.417
## 8023 No No 1307.0936687 35425.610
## 8024 No No 1637.0375567 45027.538
## 8025 No Yes 1091.9321033 11703.381
## 8026 No Yes 1499.1901302 17560.372
## 8027 No Yes 770.2905437 22114.718
## 8028 No Yes 1147.3549097 19188.908
## 8029 No No 1037.2741627 28437.772
## 8030 No No 626.9739384 50447.774
## 8031 No No 847.7207929 55260.350
## 8032 No Yes 1199.5926858 16454.750
## 8033 No No 1288.2850954 54666.377
## 8034 No No 675.2253871 33700.213
## 8035 No No 541.4409621 32502.697
## 8036 No Yes 1165.0073912 18389.079
## 8037 No No 1042.7919350 26141.006
## 8038 No No 989.2170927 42813.375
## 8039 No No 586.6026083 27798.168
## 8040 No No 931.5910554 33302.240
## 8041 No Yes 978.5385668 16514.325
## 8042 No No 958.9368289 47468.670
## 8043 No No 384.5320414 36019.410
## 8044 No No 645.0751364 43244.524
## 8045 No No 424.7602723 29502.404
## 8046 No No 612.5518758 33036.241
## 8047 No No 1381.4422222 47470.019
## 8048 No No 0.0000000 45560.913
## 8049 No No 1096.0261087 23954.218
## 8050 No No 945.6854495 38714.518
## 8051 No No 722.7680066 20962.106
## 8052 No Yes 887.8808195 20563.147
## 8053 No Yes 1049.9532878 19724.833
## 8054 No No 728.0416851 29188.943
## 8055 No No 1114.9040325 40084.001
## 8056 No Yes 1451.3035418 14185.138
## 8057 No Yes 629.2131895 16007.693
## 8058 No No 630.2307415 49059.263
## 8059 No Yes 1372.9780325 10776.444
## 8060 No Yes 746.8638361 13904.428
## 8061 No Yes 1400.5458356 16519.083
## 8062 No No 971.3514351 46533.856
## 8063 No No 637.0823864 49097.901
## 8064 No No 1778.4291092 34591.238
## 8065 No Yes 678.2050836 12787.091
## 8066 No No 1094.7729819 46617.883
## 8067 No Yes 879.8520050 23996.740
## 8068 No No 1449.3243457 38720.382
## 8069 No No 322.0016252 43774.442
## 8070 No No 1430.5768700 44104.959
## 8071 No Yes 1199.3855860 18884.127
## 8072 No No 168.3675173 47684.526
## 8073 No Yes 1143.3982046 15997.171
## 8074 No No 416.9064901 38104.773
## 8075 No No 1352.6136689 42194.387
## 8076 No No 1431.7419731 37793.287
## 8077 No No 481.3050408 35747.745
## 8078 No No 774.0731766 46082.043
## 8079 No No 0.0000000 34749.794
## 8080 No Yes 1186.8910019 14256.730
## 8081 No Yes 978.3593360 16679.894
## 8082 No No 1409.1121603 30626.224
## 8083 No No 1491.4792822 54835.770
## 8084 No Yes 1228.4849656 18937.207
## 8085 No No 1553.4789851 44425.891
## 8086 No No 1200.0416218 56081.080
## 8087 No No 984.8608392 45435.497
## 8088 No No 558.3205402 38014.760
## 8089 No Yes 778.8538719 16007.457
## 8090 No No 163.3531708 45183.145
## 8091 No Yes 574.8182292 16479.539
## 8092 No No 1149.9368561 39231.650
## 8093 No No 774.5380741 22691.882
## 8094 No No 866.7724996 30400.561
## 8095 No No 325.8596080 36682.283
## 8096 No Yes 879.6270083 14898.311
## 8097 No No 160.5030608 19132.695
## 8098 No No 905.7190025 38210.734
## 8099 No Yes 649.9310600 13475.020
## 8100 No No 196.9129257 35737.604
## 8101 No No 488.5663189 25407.216
## 8102 No No 449.2743161 13124.563
## 8103 No No 824.8024322 40957.522
## 8104 No Yes 600.6021718 18630.379
## 8105 No No 912.0655308 62142.061
## 8106 No No 619.1392617 41281.981
## 8107 No No 225.3646951 60275.883
## 8108 No No 369.4309534 63536.775
## 8109 No No 745.6661466 54891.434
## 8110 No Yes 782.3522809 22692.670
## 8111 No Yes 1051.2471618 23200.971
## 8112 No Yes 613.6012840 9506.460
## 8113 No No 863.6184007 30397.187
## 8114 No No 943.0860284 29622.608
## 8115 No Yes 1102.6312615 10671.924
## 8116 No Yes 1175.1333315 15444.927
## 8117 No No 491.4493698 51484.245
## 8118 No Yes 1131.0855679 21829.082
## 8119 No Yes 717.3718454 16319.117
## 8120 No Yes 517.3005655 17068.339
## 8121 Yes Yes 2038.5431600 12181.903
## 8122 No No 868.4944763 22176.276
## 8123 No No 111.4168910 33328.246
## 8124 No Yes 1587.5643979 13080.689
## 8125 No Yes 640.9984302 21680.098
## 8126 No Yes 1928.5921196 17570.195
## 8127 No Yes 759.6787942 18871.402
## 8128 No No 1306.3539641 35652.762
## 8129 No No 908.1742897 46791.036
## 8130 No No 871.6774122 28182.116
## 8131 No No 0.0000000 38878.175
## 8132 No No 0.0000000 53302.213
## 8133 No Yes 947.5251546 24073.091
## 8134 No No 222.8802756 40849.921
## 8135 No No 1237.5343782 30967.589
## 8136 No No 1318.7191121 36822.925
## 8137 No Yes 1030.0521122 9760.400
## 8138 No No 925.7062398 62764.884
## 8139 No No 425.7797909 42131.536
## 8140 No Yes 1901.6537551 21323.163
## 8141 Yes No 1940.3716199 41162.934
## 8142 No Yes 227.3172320 24282.229
## 8143 No No 836.5742295 51238.581
## 8144 No Yes 981.9979984 20147.512
## 8145 No No 1186.7962314 52689.250
## 8146 No Yes 315.9787480 13186.118
## 8147 No Yes 768.4472412 21497.529
## 8148 No Yes 969.9094653 13962.332
## 8149 No No 1175.1914731 50921.256
## 8150 No Yes 1684.2753411 20344.178
## 8151 No No 1120.6231937 48571.260
## 8152 No No 784.4700535 52617.207
## 8153 No No 604.9800026 38885.310
## 8154 No No 517.9789015 41755.344
## 8155 No No 270.2640888 41978.048
## 8156 No No 825.6009660 33986.697
## 8157 No No 623.5173805 51677.345
## 8158 No No 529.5083605 38328.613
## 8159 No Yes 1014.7696618 12239.884
## 8160 No No 288.5346538 44081.035
## 8161 No No 500.2527238 17104.054
## 8162 No No 565.6759823 37299.079
## 8163 No No 1005.3371682 34297.898
## 8164 No No 852.3933685 46320.855
## 8165 No No 613.1501138 34286.112
## 8166 No No 905.5657259 52997.731
## 8167 No No 1086.1817288 52507.597
## 8168 No No 1057.1781271 35807.025
## 8169 No No 252.8994606 27454.619
## 8170 No Yes 1401.2827034 16683.053
## 8171 No No 1529.1312589 36572.026
## 8172 No Yes 947.4537110 21945.793
## 8173 No No 0.0000000 33917.594
## 8174 No Yes 1312.9072025 15495.027
## 8175 No No 1269.2905749 43581.199
## 8176 No Yes 20.2580938 21530.332
## 8177 No No 0.0000000 30818.512
## 8178 No No 35.3229997 53407.270
## 8179 No No 897.3126908 31465.965
## 8180 No No 1043.5523578 38393.612
## 8181 No No 1165.3239660 33433.829
## 8182 No No 1299.4732101 55165.473
## 8183 No No 675.7765290 21758.023
## 8184 No Yes 1202.3850302 20550.638
## 8185 No No 1190.1598310 30746.377
## 8186 No Yes 535.0105962 13909.392
## 8187 No No 194.1935548 43150.502
## 8188 No No 430.6203194 46182.665
## 8189 No No 1047.9270908 59765.600
## 8190 No No 220.7916993 26453.289
## 8191 Yes Yes 1493.9685390 24126.030
## 8192 No Yes 856.6553992 15523.103
## 8193 No Yes 1635.5000236 10596.527
## 8194 No No 666.6138887 49215.025
## 8195 Yes No 1562.8379177 49303.009
## 8196 No No 255.8883718 48833.229
## 8197 No No 602.3617020 53800.547
## 8198 No No 1599.3146946 28825.475
## 8199 No No 150.9495108 36923.552
## 8200 No No 1388.8165905 35460.801
## 8201 No No 87.9486518 47924.698
## 8202 No Yes 1935.8277013 17969.799
## 8203 No Yes 1289.3159628 7677.896
## 8204 No No 871.9872122 45496.948
## 8205 No No 1333.6999809 44361.621
## 8206 No No 181.1793446 37380.144
## 8207 No No 791.1822252 48206.732
## 8208 No No 69.1770237 24556.022
## 8209 No No 940.8944835 54839.124
## 8210 No Yes 346.2155779 17866.528
## 8211 No No 214.8462350 39629.200
## 8212 No Yes 676.8313079 16998.652
## 8213 No No 595.9969943 37417.138
## 8214 No Yes 999.3916964 23688.649
## 8215 No No 1447.0430736 22433.637
## 8216 No No 464.0984776 44769.865
## 8217 No No 872.6399078 29749.171
## 8218 No No 381.7040992 25011.103
## 8219 No Yes 866.4967607 24262.694
## 8220 No Yes 1243.3441019 23634.749
## 8221 No No 1184.3080211 37600.075
## 8222 No Yes 757.4071028 25309.773
## 8223 No No 939.2584897 56225.821
## 8224 No No 560.7702336 61472.859
## 8225 No No 971.2788333 26853.301
## 8226 No No 518.6807923 30151.330
## 8227 No No 834.2636789 28022.837
## 8228 No Yes 545.5855799 19454.326
## 8229 No No 1057.3508718 39651.124
## 8230 No Yes 720.5164509 20222.949
## 8231 No No 1285.5179756 37442.643
## 8232 No Yes 406.3397694 30088.443
## 8233 No No 1023.8920317 33392.710
## 8234 No No 356.2441181 21319.086
## 8235 No No 657.0888188 31724.629
## 8236 No Yes 1168.5464143 25802.276
## 8237 No No 344.8822415 26227.329
## 8238 No Yes 535.3359894 24268.828
## 8239 No Yes 1222.9665871 21373.350
## 8240 No Yes 663.6027281 21436.522
## 8241 No Yes 591.5371447 20961.465
## 8242 No Yes 941.7180089 23362.977
## 8243 No No 434.5449437 35620.065
## 8244 Yes No 1804.1905045 23096.084
## 8245 No No 0.0000000 34227.947
## 8246 No No 0.0000000 28356.252
## 8247 No No 586.4709775 52203.859
## 8248 No No 707.4361492 42407.754
## 8249 No No 1491.6405871 61096.492
## 8250 No Yes 556.1822343 21650.830
## 8251 No No 683.1475420 44439.529
## 8252 No Yes 671.1317307 11857.478
## 8253 No No 1020.1977558 43592.834
## 8254 No Yes 1183.0677019 13210.878
## 8255 No Yes 1127.5361311 19322.970
## 8256 No No 1545.9828049 32691.924
## 8257 No No 1114.3977298 44195.545
## 8258 No No 843.4972440 41917.320
## 8259 No No 1047.6733703 34413.196
## 8260 No Yes 810.5409457 17252.254
## 8261 No Yes 501.1105625 26425.698
## 8262 No Yes 1031.6383609 21432.147
## 8263 No No 360.2150315 44082.187
## 8264 No No 1234.8316781 40155.451
## 8265 Yes No 2236.7642146 37113.883
## 8266 No No 750.8405315 32034.712
## 8267 No No 231.9683403 42465.961
## 8268 No No 1616.5001941 41825.404
## 8269 No No 981.7993298 49644.919
## 8270 No No 538.0199251 27284.511
## 8271 No No 136.3073425 48799.655
## 8272 No No 614.9409836 30905.480
## 8273 No Yes 824.0407418 11659.193
## 8274 No No 393.0612671 44149.388
## 8275 No Yes 759.3971306 18693.188
## 8276 No Yes 1743.7988374 17541.003
## 8277 No Yes 621.1701063 17503.690
## 8278 No No 1360.5471734 54705.127
## 8279 No No 253.5218815 37506.207
## 8280 No No 1392.3326777 48709.529
## 8281 No No 1508.2508594 43525.053
## 8282 No Yes 1823.8670605 19447.967
## 8283 No No 0.0000000 39423.513
## 8284 No No 728.6734610 36557.235
## 8285 No No 1471.1987378 56477.131
## 8286 No No 967.2567624 32201.634
## 8287 No No 640.7059824 38792.357
## 8288 No Yes 559.5664108 15720.382
## 8289 No Yes 1258.1145332 20010.576
## 8290 No No 1126.8876962 32770.579
## 8291 No No 1341.2631405 46263.885
## 8292 No No 751.1019308 50290.144
## 8293 No No 325.9276366 57313.282
## 8294 No Yes 905.9019451 20285.225
## 8295 No No 699.6042756 49035.247
## 8296 No No 996.4459056 51393.789
## 8297 No Yes 1034.1702134 23825.029
## 8298 No Yes 1464.6362415 14763.563
## 8299 No No 280.7241690 40382.599
## 8300 No No 725.8676857 41792.673
## 8301 No Yes 1162.5909216 15419.111
## 8302 No Yes 193.7197625 18002.548
## 8303 No No 743.1818270 50250.919
## 8304 No No 1403.8398342 43225.042
## 8305 No No 460.1398044 52708.560
## 8306 No No 1218.2198871 36290.162
## 8307 No No 903.9870202 51705.272
## 8308 No Yes 1473.6959310 19759.502
## 8309 No No 525.5156820 50763.984
## 8310 Yes Yes 1874.8226124 14957.816
## 8311 No No 700.6223878 42023.889
## 8312 No Yes 1164.6669661 23297.158
## 8313 No Yes 1803.7663493 23201.827
## 8314 No Yes 451.7115231 22483.096
## 8315 No No 1101.9844605 36231.854
## 8316 No Yes 1343.7771240 28198.005
## 8317 No No 606.4358765 38897.079
## 8318 No No 0.0000000 45380.657
## 8319 No Yes 0.0000000 20963.383
## 8320 No No 1140.8201518 36495.055
## 8321 No No 1597.6474019 42515.089
## 8322 No Yes 521.8414793 10316.337
## 8323 No Yes 837.5214935 13215.786
## 8324 No No 390.3103153 42322.247
## 8325 No Yes 806.4819727 22127.082
## 8326 No No 890.2666463 38376.091
## 8327 No Yes 237.3830296 21376.683
## 8328 No Yes 808.3961670 11804.034
## 8329 No No 694.3909457 46128.865
## 8330 No No 492.2539455 42143.198
## 8331 No Yes 460.5954148 12939.009
## 8332 No Yes 838.4599545 19805.875
## 8333 No No 675.8425047 38173.926
## 8334 No No 625.4198746 47406.241
## 8335 No No 45.4762818 27599.072
## 8336 No No 474.7692355 30799.949
## 8337 No No 1024.8236567 46113.647
## 8338 No No 696.1075770 40325.385
## 8339 No Yes 953.5336584 25820.587
## 8340 No No 1143.8552305 50690.258
## 8341 No Yes 683.4413004 22595.454
## 8342 No No 644.6044091 30276.571
## 8343 Yes Yes 2034.6747178 17133.966
## 8344 No Yes 1345.4916235 12235.388
## 8345 No Yes 1307.0870915 18082.555
## 8346 No No 705.5005243 52559.031
## 8347 No No 0.0000000 47725.522
## 8348 No No 501.1696197 35664.805
## 8349 No No 991.5209236 30775.521
## 8350 No Yes 956.6922342 19594.549
## 8351 No No 353.6499924 30726.286
## 8352 No No 838.9240601 47864.419
## 8353 No Yes 353.6527609 20531.497
## 8354 No Yes 751.2431402 16475.028
## 8355 No No 991.1584083 42767.690
## 8356 No Yes 1096.4896471 17856.265
## 8357 Yes No 1655.7755969 25639.794
## 8358 No No 0.0000000 35577.425
## 8359 No Yes 485.6531778 16099.918
## 8360 No No 850.4665937 34367.677
## 8361 No Yes 0.0000000 17695.840
## 8362 No Yes 766.6355371 21718.814
## 8363 No No 309.1791625 31232.071
## 8364 No No 244.6623745 29275.115
## 8365 Yes Yes 1013.2168864 19651.262
## 8366 No No 357.5921567 48565.018
## 8367 No Yes 1908.2420079 17642.627
## 8368 No No 1449.1357077 40495.472
## 8369 No No 464.4163012 38236.740
## 8370 No No 1491.7075453 40637.448
## 8371 No No 256.8941868 39019.876
## 8372 No No 0.0000000 35025.971
## 8373 No No 0.0000000 23910.140
## 8374 No No 817.6210891 43705.823
## 8375 No Yes 888.3063208 22901.634
## 8376 No No 1240.7546046 51511.298
## 8377 No No 828.6441617 10948.504
## 8378 No Yes 959.8542276 18481.753
## 8379 No No 1281.4488488 48837.379
## 8380 No Yes 1577.6754306 11951.479
## 8381 No Yes 1444.1142684 21441.012
## 8382 No Yes 647.6702879 13618.348
## 8383 No No 720.1649187 43654.230
## 8384 No No 64.1547934 47969.005
## 8385 No Yes 546.0286641 21615.269
## 8386 No Yes 1102.1272768 14009.943
## 8387 No No 1294.5235696 28001.049
## 8388 No No 341.3222905 33808.336
## 8389 No No 399.3903814 17348.784
## 8390 No No 710.3946335 31483.347
## 8391 No No 1467.5733837 26697.786
## 8392 No Yes 282.8315188 13371.055
## 8393 No No 544.2251816 46149.510
## 8394 No No 1585.8603725 42709.492
## 8395 No No 0.0000000 28784.469
## 8396 No No 1033.4262718 43594.762
## 8397 No No 1131.0536460 38834.236
## 8398 No No 544.2872953 24477.472
## 8399 No No 1116.7203566 33716.178
## 8400 Yes No 2155.2889861 34787.253
## 8401 No No 732.0566466 39433.481
## 8402 No No 591.6362698 33852.310
## 8403 No No 0.0000000 63251.308
## 8404 No No 453.8499581 27865.285
## 8405 No No 170.0709170 27005.577
## 8406 No No 916.7291772 37212.809
## 8407 No No 611.3372902 38389.283
## 8408 No No 258.6296725 33327.938
## 8409 No Yes 357.5956653 18141.003
## 8410 No No 813.1738871 49274.383
## 8411 Yes No 1743.0647098 22308.126
## 8412 No No 801.8027115 46182.257
## 8413 No No 674.7366147 26060.486
## 8414 No No 430.4906483 39921.137
## 8415 No No 1352.9955320 34089.033
## 8416 No Yes 1040.8802120 19427.814
## 8417 No No 1305.7746978 34412.116
## 8418 No No 1294.7617064 37712.387
## 8419 No Yes 583.2954820 23694.367
## 8420 No Yes 1409.2991781 21508.502
## 8421 No No 886.2166288 40486.859
## 8422 No No 515.6197997 39638.640
## 8423 No No 1866.3046526 58710.888
## 8424 No No 657.7057207 41224.797
## 8425 No No 270.2243329 49128.037
## 8426 No No 953.3917889 20749.338
## 8427 No No 630.2207789 24919.184
## 8428 Yes Yes 2024.6601698 9663.788
## 8429 No Yes 497.0569883 23119.135
## 8430 No No 48.7255630 37957.902
## 8431 No No 440.0245428 49358.426
## 8432 No No 1217.9486598 43996.014
## 8433 No Yes 1203.9822596 21524.318
## 8434 No Yes 1493.8735617 15626.659
## 8435 No No 0.0000000 48025.617
## 8436 No No 1204.9543480 47167.938
## 8437 No No 945.6697175 39928.244
## 8438 No Yes 807.5955718 16926.373
## 8439 No No 514.3815273 20632.268
## 8440 No No 1493.3574346 51510.148
## 8441 No No 738.2214298 25184.467
## 8442 No Yes 451.9124615 22316.261
## 8443 No No 997.0278823 35591.387
## 8444 No No 1082.0743936 30627.462
## 8445 No Yes 1001.3488862 19314.922
## 8446 No No 1058.6275138 49380.078
## 8447 No No 245.3464925 42703.019
## 8448 No No 579.3818249 32296.263
## 8449 No No 1180.9357140 35352.152
## 8450 No No 969.0830285 45192.339
## 8451 No No 0.0000000 44561.325
## 8452 No Yes 714.1754997 19995.856
## 8453 No No 0.0000000 36379.519
## 8454 No Yes 100.8507591 17315.130
## 8455 No No 1856.5308755 33498.835
## 8456 No No 620.4573093 41059.097
## 8457 Yes No 1815.7925200 31632.584
## 8458 No No 1508.1450143 31101.081
## 8459 No No 1170.9169757 38712.420
## 8460 Yes No 2063.5719345 37372.758
## 8461 No Yes 284.8415772 20477.837
## 8462 No No 878.4461099 29561.783
## 8463 Yes Yes 1740.7683059 18161.244
## 8464 Yes No 1994.3950662 44794.338
## 8465 No No 1290.1792121 42813.975
## 8466 No No 441.3369832 55970.923
## 8467 No Yes 1790.4137252 22953.431
## 8468 No No 821.2504797 68721.974
## 8469 No No 341.0403786 40255.468
## 8470 No No 216.9616918 31742.994
## 8471 No No 48.2379900 37536.361
## 8472 No No 501.3606578 49897.301
## 8473 No No 267.4166250 24154.510
## 8474 No No 623.6184284 54008.196
## 8475 No No 752.7393782 38671.786
## 8476 No No 0.0000000 38665.870
## 8477 No No 413.1145947 63793.558
## 8478 No No 895.4392232 26138.101
## 8479 No Yes 127.6633751 13942.244
## 8480 Yes No 1361.7357906 50322.355
## 8481 No No 592.6115176 55124.864
## 8482 No Yes 947.8509970 22047.921
## 8483 No No 784.1715748 47322.689
## 8484 No No 952.3111521 21990.091
## 8485 No No 448.2635314 26350.871
## 8486 No No 316.1240081 37322.932
## 8487 No Yes 1246.1171984 9846.703
## 8488 No No 680.7064686 42316.403
## 8489 No No 1208.3043757 38461.047
## 8490 Yes No 1292.4302107 50990.577
## 8491 No No 663.6101987 48089.521
## 8492 No No 435.5922002 38830.518
## 8493 No No 579.1932810 36181.813
## 8494 No Yes 819.0310647 22092.722
## 8495 No No 603.0203998 51229.788
## 8496 Yes Yes 2654.3225763 21930.389
## 8497 No Yes 0.0000000 23274.976
## 8498 No Yes 1487.0435446 21412.352
## 8499 No No 1466.7721919 46875.084
## 8500 No No 1168.4885668 40615.567
## 8501 No Yes 592.2969458 19744.978
## 8502 No Yes 1255.9738910 21757.676
## 8503 No No 389.7923810 53685.473
## 8504 No No 604.3043270 38758.546
## 8505 No No 940.3923997 33874.815
## 8506 No No 329.5189766 38150.635
## 8507 No No 1465.0270324 18600.214
## 8508 No Yes 1817.2800719 20751.432
## 8509 No Yes 1055.0637976 16174.206
## 8510 No Yes 536.0102178 23587.494
## 8511 No No 817.4743281 41994.925
## 8512 No No 1244.5635657 36157.818
## 8513 No No 983.1275713 19985.601
## 8514 No No 644.8002553 32298.309
## 8515 No No 896.9814679 35755.748
## 8516 No No 527.2715744 41573.982
## 8517 No No 0.0000000 51122.516
## 8518 No Yes 1427.9405308 12666.261
## 8519 No Yes 1262.4807657 15636.257
## 8520 No No 1283.2784826 46335.836
## 8521 No No 489.5199137 22750.692
## 8522 No No 887.2014361 41641.454
## 8523 No No 328.0130111 38500.400
## 8524 No Yes 1521.4949491 18018.904
## 8525 No No 326.0381126 25498.014
## 8526 No No 1816.9735016 29897.182
## 8527 No No 1534.0070045 35566.267
## 8528 No Yes 1657.1138586 10852.293
## 8529 No No 1270.4569759 36092.587
## 8530 No No 560.5146192 25254.042
## 8531 No No 0.0000000 28490.771
## 8532 No No 697.9327582 35706.661
## 8533 No No 1420.5074803 37437.738
## 8534 No No 695.6690098 36977.640
## 8535 No Yes 212.8213685 24515.975
## 8536 No Yes 929.4111300 23236.752
## 8537 No No 1676.1147988 25317.171
## 8538 No No 571.9599418 24932.006
## 8539 No No 355.0163312 36327.877
## 8540 No Yes 1315.4214446 21650.415
## 8541 No Yes 1006.9941089 17834.064
## 8542 No No 332.6741696 22938.593
## 8543 Yes No 1622.4990393 39228.541
## 8544 No No 0.0000000 26394.545
## 8545 No No 1131.6020542 19893.772
## 8546 No No 0.0000000 44981.150
## 8547 No No 1493.7422481 32742.858
## 8548 No No 47.4234793 29567.857
## 8549 No No 153.7126336 54331.530
## 8550 No No 458.9973870 21165.866
## 8551 No Yes 1260.8281765 22372.288
## 8552 No Yes 1080.4776622 18741.317
## 8553 No No 1814.1056487 32977.909
## 8554 No Yes 1739.8378122 21593.013
## 8555 No No 0.0000000 50496.474
## 8556 No No 983.4906792 20828.531
## 8557 No No 0.0000000 28176.119
## 8558 No Yes 138.9063092 13005.895
## 8559 No No 870.3479659 42397.100
## 8560 No Yes 584.4864011 14017.391
## 8561 No Yes 1508.7017761 25338.265
## 8562 No Yes 1282.4749516 25304.586
## 8563 No No 521.7367280 28401.497
## 8564 No No 1150.6777116 38342.289
## 8565 No Yes 1010.8485910 16428.755
## 8566 No Yes 1746.2973719 24536.554
## 8567 No No 1382.2689926 19023.996
## 8568 No No 499.8186019 31335.961
## 8569 No No 339.6768042 43308.966
## 8570 No No 253.6301022 50236.505
## 8571 No No 690.1857313 32761.227
## 8572 No No 743.0525534 33556.016
## 8573 No No 736.4955216 49119.348
## 8574 No Yes 584.5180962 19624.589
## 8575 Yes Yes 1276.6850826 19282.436
## 8576 No No 399.8771607 47291.016
## 8577 No No 182.2387200 45937.977
## 8578 No No 743.6661697 37542.580
## 8579 No No 731.1016272 26655.415
## 8580 No No 615.7266574 38687.115
## 8581 No No 499.1491489 56343.610
## 8582 No No 785.0335169 45598.915
## 8583 No Yes 969.2523410 16864.043
## 8584 No No 841.4900639 43371.924
## 8585 No No 181.1714826 35175.904
## 8586 No No 811.5963666 38323.724
## 8587 No No 1625.6398763 65026.739
## 8588 No No 962.2238380 43974.057
## 8589 No No 617.0250542 33369.089
## 8590 No Yes 478.9236749 19730.185
## 8591 No No 1017.7497207 30227.863
## 8592 No No 708.5001616 35086.905
## 8593 No No 423.4079473 40844.342
## 8594 No No 0.0000000 29775.159
## 8595 No Yes 935.6936350 25362.322
## 8596 No No 0.0000000 51719.375
## 8597 No Yes 1757.8454589 17426.520
## 8598 No No 733.5453865 30638.216
## 8599 No Yes 1050.4093860 16746.063
## 8600 No No 25.8003767 44091.688
## 8601 No No 646.0812402 36686.959
## 8602 No No 695.4717672 25544.892
## 8603 No No 536.5174942 28629.464
## 8604 No No 542.2771433 52447.219
## 8605 No No 811.7699461 46076.302
## 8606 No Yes 911.7608245 21082.553
## 8607 No No 621.3034989 50474.979
## 8608 No No 549.3931277 39131.495
## 8609 No No 929.2971542 42503.410
## 8610 No No 154.6639204 44714.372
## 8611 No No 36.2350412 49075.982
## 8612 No No 718.5952536 39157.790
## 8613 No No 379.1003606 31350.929
## 8614 No No 904.3357112 30890.746
## 8615 No No 1028.9643424 18701.410
## 8616 No No 343.4938298 67930.344
## 8617 No No 375.7993192 21297.585
## 8618 No Yes 502.2610869 13572.749
## 8619 No Yes 1231.5588247 15727.670
## 8620 No No 456.8715128 54894.164
## 8621 No Yes 1112.1299190 22709.433
## 8622 No No 1063.7128610 36475.098
## 8623 No Yes 895.8232449 19825.630
## 8624 No No 1407.0921425 43677.976
## 8625 No No 418.4983441 29856.472
## 8626 No No 684.9062972 14756.998
## 8627 No No 650.0461100 46137.933
## 8628 No No 495.4211542 26740.769
## 8629 No No 698.9051300 27001.554
## 8630 No No 847.7729672 42193.598
## 8631 No No 1185.1597343 35793.349
## 8632 No No 1315.6091315 54833.056
## 8633 No No 0.0000000 32809.335
## 8634 No No 629.0877710 32296.932
## 8635 No No 326.6700185 50562.490
## 8636 No No 0.0000000 35775.317
## 8637 No No 949.2823724 26960.743
## 8638 No No 1077.7330835 50334.854
## 8639 No No 1256.1867299 31706.179
## 8640 No No 1356.7298361 37664.037
## 8641 No No 564.1282921 37695.775
## 8642 No No 793.9709695 41931.585
## 8643 No Yes 412.3886362 9892.128
## 8644 No Yes 810.6685873 19925.744
## 8645 No Yes 1273.8357763 15593.642
## 8646 No No 1386.6684781 56325.449
## 8647 No Yes 574.6731443 22814.346
## 8648 No Yes 1614.1416380 11334.292
## 8649 No No 0.0000000 45642.762
## 8650 No No 949.9967068 32676.231
## 8651 No Yes 618.7567523 18297.328
## 8652 No No 1408.1761190 47496.164
## 8653 No No 465.9198784 41133.949
## 8654 No No 952.9278193 44894.443
## 8655 No Yes 17.6095776 13739.755
## 8656 No Yes 989.8845974 23416.500
## 8657 No Yes 1817.1711764 24601.037
## 8658 No No 746.8365105 41294.452
## 8659 No No 549.0649295 58539.414
## 8660 No Yes 993.0495382 20538.546
## 8661 No Yes 1447.4181082 16658.424
## 8662 No Yes 598.2181944 19794.576
## 8663 No Yes 79.9899964 14390.813
## 8664 No No 641.2545874 31306.535
## 8665 No Yes 562.8376983 25068.046
## 8666 No Yes 448.2432107 23540.891
## 8667 No Yes 1134.6965725 20068.019
## 8668 No No 1649.2116069 42148.744
## 8669 No Yes 817.6766467 22339.885
## 8670 No Yes 948.1513026 18107.357
## 8671 No Yes 1180.0180862 19871.207
## 8672 No No 761.1876588 54681.828
## 8673 No No 420.4958319 58264.206
## 8674 No Yes 1841.4085338 18000.705
## 8675 No No 102.7214411 13719.357
## 8676 No No 265.5928459 24833.342
## 8677 No No 1558.8610753 45255.967
## 8678 No Yes 220.6595334 20148.580
## 8679 No No 325.8701315 35015.269
## 8680 No No 1272.4773859 42671.319
## 8681 No No 906.2310971 46715.235
## 8682 No No 1070.8100482 35979.470
## 8683 No Yes 0.0000000 15572.021
## 8684 No No 722.1334868 22669.240
## 8685 No No 1453.2928721 43370.758
## 8686 No No 1207.2878521 33671.460
## 8687 No No 1118.2199230 32632.913
## 8688 No No 1281.9215727 56778.415
## 8689 No Yes 878.9983936 12054.859
## 8690 No No 735.1033377 51403.716
## 8691 No No 914.3410823 43460.166
## 8692 No No 4.1511116 22722.222
## 8693 No No 1063.5923292 38057.334
## 8694 No No 331.8428277 37264.695
## 8695 No No 838.5789048 43501.258
## 8696 No No 418.2996428 49670.022
## 8697 No No 538.9427317 23289.280
## 8698 No Yes 2133.7454809 19675.508
## 8699 No No 1651.3225527 34024.664
## 8700 No Yes 1152.9732719 13036.067
## 8701 No Yes 1065.2563554 16658.947
## 8702 No No 486.6526399 30838.630
## 8703 No Yes 770.8266665 18896.729
## 8704 No No 1202.4634888 42818.643
## 8705 No No 323.8001014 34576.492
## 8706 Yes No 2062.8706284 30839.181
## 8707 No No 1058.2843316 39314.513
## 8708 No No 796.0250533 38443.896
## 8709 No Yes 1379.7700166 15509.409
## 8710 No No 1201.3324891 23969.452
## 8711 No No 1114.1160074 40359.967
## 8712 No No 821.6071023 50689.193
## 8713 No No 1079.9657652 43215.806
## 8714 No Yes 662.9953630 12008.336
## 8715 No Yes 1343.7015491 27168.408
## 8716 No Yes 553.4557368 21358.421
## 8717 No No 472.9540550 63759.787
## 8718 No Yes 1806.5516723 17648.198
## 8719 No Yes 855.2269959 15348.707
## 8720 No Yes 790.5543286 20568.827
## 8721 No No 1380.1440320 48087.825
## 8722 No No 1522.5308015 30765.564
## 8723 No Yes 967.3490473 14725.141
## 8724 No Yes 886.2211404 12796.059
## 8725 Yes No 1323.6281422 18820.795
## 8726 No No 1351.3254227 46663.392
## 8727 No No 294.0187903 59128.503
## 8728 No No 1756.0507164 52497.586
## 8729 No No 439.4963640 46784.945
## 8730 No No 725.7832919 35503.644
## 8731 No No 1049.9467684 43172.327
## 8732 No No 1138.6288594 36978.459
## 8733 No No 568.2242546 39873.243
## 8734 No No 0.0000000 43160.324
## 8735 No No 572.6658576 42285.285
## 8736 No No 1270.3931781 43032.272
## 8737 No No 1444.4321045 19153.343
## 8738 Yes No 1926.5990821 59224.453
## 8739 No No 101.9934557 27909.631
## 8740 No No 547.1749749 36969.003
## 8741 No No 907.6331040 28577.097
## 8742 No No 282.8892177 42132.074
## 8743 No Yes 811.9650452 12853.176
## 8744 No Yes 1305.1044526 20573.554
## 8745 No Yes 533.9165429 21390.687
## 8746 No Yes 1420.5961395 20197.812
## 8747 No No 89.3129241 39915.454
## 8748 No No 839.0409200 36665.701
## 8749 No No 522.1534576 40717.163
## 8750 No No 488.7211263 46503.166
## 8751 No Yes 983.2685030 24554.272
## 8752 No No 442.6659006 43991.812
## 8753 No Yes 977.5893720 17637.734
## 8754 No Yes 317.2679998 17801.537
## 8755 No No 1033.7566582 21837.243
## 8756 No No 629.3201832 52089.633
## 8757 No No 1328.3341035 39877.612
## 8758 No Yes 1486.3772996 19164.350
## 8759 No No 760.5532935 19957.839
## 8760 No Yes 1204.2414702 19302.901
## 8761 No Yes 1367.7865145 12449.279
## 8762 No No 226.2992254 34305.256
## 8763 No No 902.4163952 37905.631
## 8764 No No 462.0042896 33157.362
## 8765 No No 1072.3793647 19958.544
## 8766 No No 424.0481900 25081.843
## 8767 No No 846.1312948 29812.088
## 8768 No Yes 951.5885363 12163.185
## 8769 No No 1079.8232987 44390.716
## 8770 No Yes 1395.6689866 21374.592
## 8771 No No 828.8895452 52560.907
## 8772 No No 829.8842621 40749.787
## 8773 No No 1626.1694187 32827.703
## 8774 No No 1057.6331736 37229.807
## 8775 No No 729.2259909 35633.503
## 8776 No Yes 154.8755316 20685.457
## 8777 No No 1583.0961007 15350.456
## 8778 No No 0.0000000 40766.695
## 8779 No No 528.5692049 42249.357
## 8780 No No 809.1046740 24820.526
## 8781 No Yes 132.1045587 20065.722
## 8782 No Yes 2149.3368117 15093.828
## 8783 No No 497.7257852 26591.113
## 8784 No No 489.1655607 26875.724
## 8785 No Yes 596.5392560 9518.832
## 8786 No Yes 1883.0654560 23989.892
## 8787 No Yes 748.0592283 17362.807
## 8788 No No 1046.9181213 42376.502
## 8789 No No 310.1302239 37697.220
## 8790 No Yes 1065.5210762 21129.234
## 8791 No Yes 1097.0674808 20564.126
## 8792 No No 1154.8586784 57640.917
## 8793 Yes No 2049.0298451 52568.909
## 8794 No No 1398.6524674 34194.082
## 8795 No No 130.3468225 53852.755
## 8796 No No 1400.1631869 52343.477
## 8797 No No 0.0000000 51740.422
## 8798 No Yes 552.3342396 21262.566
## 8799 No No 0.0000000 58233.021
## 8800 No No 246.6365453 18953.672
## 8801 No No 0.0000000 38249.982
## 8802 No Yes 655.5101263 15771.492
## 8803 No Yes 100.3554330 13940.603
## 8804 No Yes 1103.0035655 25385.602
## 8805 No Yes 928.2334115 20932.692
## 8806 No No 509.3177986 18221.147
## 8807 No Yes 420.2570639 24703.998
## 8808 No No 307.7305626 48123.551
## 8809 No No 733.0760867 40056.100
## 8810 No No 851.5646599 33211.176
## 8811 No No 1300.3371817 47580.544
## 8812 No Yes 203.9661270 16433.674
## 8813 No Yes 1557.5255714 17132.312
## 8814 No No 0.0000000 41359.892
## 8815 No No 1136.4550314 47721.274
## 8816 No No 986.1815438 34780.954
## 8817 No No 452.8271077 62912.444
## 8818 No No 775.4935595 46025.871
## 8819 No Yes 926.0781636 17660.807
## 8820 No No 1074.9912673 27834.790
## 8821 No No 844.4654791 44518.395
## 8822 No No 391.5583580 45822.524
## 8823 No Yes 1283.0285557 15638.007
## 8824 No Yes 1343.2435165 7032.060
## 8825 No Yes 1049.4200361 15815.344
## 8826 No Yes 728.9858382 17360.523
## 8827 No Yes 1203.1032564 19967.863
## 8828 No No 221.3348565 31764.203
## 8829 No No 149.2232188 36550.333
## 8830 No No 474.6283748 28182.976
## 8831 No Yes 962.4665364 14606.090
## 8832 No No 1166.2131855 36324.679
## 8833 Yes Yes 2207.5990539 19780.764
## 8834 No Yes 1244.9235110 24291.408
## 8835 No No 913.4535992 52793.180
## 8836 Yes No 1315.5587654 35456.696
## 8837 No No 80.7149258 37651.568
## 8838 No Yes 745.2211412 24689.518
## 8839 No No 1505.0940829 43036.121
## 8840 No Yes 903.4388120 13028.151
## 8841 No No 250.9888204 33568.532
## 8842 No No 857.1507423 34691.322
## 8843 No No 92.9756886 49608.586
## 8844 No No 1363.3103788 35387.699
## 8845 No No 146.8971527 41872.173
## 8846 No Yes 2014.4976476 15728.938
## 8847 No No 1112.4685240 43201.520
## 8848 No Yes 237.1635864 25219.983
## 8849 No No 1018.3667900 47723.327
## 8850 No No 150.3023857 39730.165
## 8851 No No 1074.1240403 47517.867
## 8852 No No 0.0000000 30098.422
## 8853 No Yes 1205.9450405 12950.816
## 8854 No Yes 713.2463934 20549.852
## 8855 No No 1351.8529658 40177.959
## 8856 No No 254.7280579 53696.832
## 8857 No Yes 842.2559874 23310.229
## 8858 No No 390.9808235 47083.431
## 8859 No Yes 639.4683036 12323.350
## 8860 No Yes 514.3349873 27443.975
## 8861 No No 791.6633418 48127.626
## 8862 No Yes 1204.9179044 11339.157
## 8863 No No 1000.5254382 53680.984
## 8864 No Yes 810.3080124 16248.456
## 8865 No No 797.8653933 43717.068
## 8866 No No 0.0000000 46461.320
## 8867 No No 990.1447723 48040.602
## 8868 No Yes 284.0505520 15352.360
## 8869 No No 1080.3212812 48226.730
## 8870 No No 1433.9923269 19864.975
## 8871 No No 792.9740677 28674.671
## 8872 No No 1351.9574372 24136.072
## 8873 No No 528.6768448 39925.185
## 8874 No No 692.0528224 39586.849
## 8875 No No 1085.5202349 36746.320
## 8876 No No 567.7041783 50643.316
## 8877 No No 1190.0613033 41965.880
## 8878 No Yes 289.3569474 15715.501
## 8879 No No 1440.1329269 28370.104
## 8880 No No 373.1788864 30826.075
## 8881 No No 733.2005691 38592.042
## 8882 No Yes 1095.6120021 10450.745
## 8883 No No 1117.6297037 61940.016
## 8884 No No 505.0151281 43658.813
## 8885 No Yes 230.1591687 24776.693
## 8886 No No 586.7756504 32622.376
## 8887 No Yes 513.7976777 15540.454
## 8888 No Yes 1212.7566620 13722.901
## 8889 No No 578.4836466 45066.207
## 8890 No No 1229.5203016 59755.030
## 8891 No Yes 1829.9099413 21018.960
## 8892 No Yes 973.2644800 16984.611
## 8893 No No 690.6403424 26989.394
## 8894 No No 781.6677859 49427.518
## 8895 No No 652.2027614 36348.296
## 8896 No No 762.9231977 50293.872
## 8897 No Yes 843.6424315 17992.317
## 8898 No Yes 1316.2109831 16327.626
## 8899 No Yes 559.9031826 9357.759
## 8900 No No 355.0300657 52926.778
## 8901 No No 1635.2029020 31541.094
## 8902 No No 696.8956932 63952.313
## 8903 No No 444.0427027 47857.715
## 8904 No No 1585.5250891 49011.416
## 8905 No No 1322.0809830 48906.518
## 8906 No No 941.7416323 34559.647
## 8907 No Yes 1426.0141774 20779.679
## 8908 Yes Yes 1359.2139474 25548.487
## 8909 No No 1504.5693859 36697.402
## 8910 No No 48.2656403 32081.092
## 8911 No No 0.0000000 47393.329
## 8912 No Yes 802.3692671 18999.525
## 8913 No No 600.9390903 43846.209
## 8914 No No 1440.0257127 41814.804
## 8915 No Yes 1184.2044431 23235.657
## 8916 No No 31.8620654 33702.651
## 8917 No No 580.3790561 55724.271
## 8918 No Yes 591.9864699 8815.176
## 8919 No No 915.5920094 37720.187
## 8920 Yes No 2006.9861730 50033.533
## 8921 No Yes 1216.5862503 18140.624
## 8922 No No 970.9255522 46051.868
## 8923 No No 664.7189435 36998.566
## 8924 No No 873.8796086 46203.910
## 8925 No No 444.2814001 56881.207
## 8926 No No 641.7604481 44857.701
## 8927 No Yes 1106.3236942 21202.030
## 8928 No No 616.5546498 46107.208
## 8929 No No 1164.3621403 38759.731
## 8930 No No 828.6628118 28427.670
## 8931 No No 23.2983318 37975.539
## 8932 No No 717.4344202 45267.820
## 8933 No No 167.5841567 49087.256
## 8934 No No 821.8532926 35358.393
## 8935 No No 769.6667019 39401.475
## 8936 No No 0.0000000 37343.417
## 8937 No No 1038.7002659 33783.714
## 8938 No Yes 1050.1513327 16963.813
## 8939 No Yes 927.6321006 20640.774
## 8940 No No 1014.7226287 38780.790
## 8941 No Yes 1391.4415972 11685.645
## 8942 No No 290.4830670 47724.240
## 8943 No No 656.4349437 26551.601
## 8944 No No 1456.6429369 24089.095
## 8945 No Yes 1240.7240122 19702.799
## 8946 No No 636.6060455 31870.551
## 8947 No No 1665.0369730 48295.525
## 8948 No No 825.9559447 31661.626
## 8949 No No 0.0000000 61608.532
## 8950 No Yes 1152.1244190 18644.400
## 8951 No Yes 711.0398753 22000.107
## 8952 No No 1221.0831227 29370.585
## 8953 No No 781.2917026 36744.568
## 8954 No No 0.0000000 41671.209
## 8955 No No 919.3001361 33866.363
## 8956 No No 155.9899169 50135.850
## 8957 No No 0.0000000 42616.602
## 8958 No Yes 1520.8516448 20044.081
## 8959 No No 407.3215382 38285.415
## 8960 No No 555.2299512 22788.968
## 8961 No No 705.1971768 35864.012
## 8962 No Yes 916.1289706 28839.584
## 8963 No No 1083.2811870 45260.417
## 8964 No Yes 771.1332614 20655.071
## 8965 No No 1700.2949761 53844.579
## 8966 No No 679.2668048 36694.750
## 8967 No No 762.9914907 44162.363
## 8968 No Yes 1196.5369960 25651.536
## 8969 No No 627.3837596 47489.283
## 8970 No Yes 1175.7990568 18178.082
## 8971 No No 660.2005712 33598.089
## 8972 No Yes 822.6253243 10923.382
## 8973 No No 842.4075391 38161.739
## 8974 No No 1248.3996848 41555.811
## 8975 No Yes 1405.8766538 27071.322
## 8976 No No 419.7020001 44989.763
## 8977 No Yes 91.7339465 19153.728
## 8978 No No 157.0034532 50131.879
## 8979 No No 666.5299507 51876.490
## 8980 No No 806.7812411 55735.549
## 8981 No No 0.0000000 44754.249
## 8982 No No 1378.2664361 40228.934
## 8983 No No 354.2163910 25427.054
## 8984 No No 596.1826889 55591.059
## 8985 No No 102.4698629 44600.432
## 8986 No No 637.2169994 48461.909
## 8987 No No 1274.7965503 18044.823
## 8988 No No 403.0414814 29200.984
## 8989 No No 619.5151739 53747.549
## 8990 No No 1111.6907664 31059.463
## 8991 No No 1235.4857680 29992.186
## 8992 No No 850.3855684 45530.377
## 8993 Yes Yes 2352.0549493 24067.548
## 8994 No No 1518.3525146 53971.731
## 8995 No No 0.0000000 47935.283
## 8996 No No 541.9440018 37640.300
## 8997 No Yes 1401.1936091 17688.856
## 8998 No No 329.4656843 46028.015
## 8999 No No 530.0938205 21736.810
## 9000 No No 0.0000000 27455.909
## 9001 No No 1112.0641400 27694.721
## 9002 No No 291.0761413 23479.613
## 9003 No No 1133.4149389 36456.949
## 9004 No Yes 488.9570121 15912.305
## 9005 No No 926.5478994 25363.015
## 9006 No No 783.7975633 33151.567
## 9007 No Yes 246.0818190 20046.772
## 9008 No Yes 860.9177306 11575.702
## 9009 No No 1838.1948611 32308.024
## 9010 No Yes 918.8288881 16110.990
## 9011 No No 1040.1056651 16905.458
## 9012 No No 951.6202260 41689.568
## 9013 No No 749.1147396 46478.105
## 9014 No No 70.1854777 36216.964
## 9015 No No 1002.3512182 43048.170
## 9016 No No 948.7053930 14095.810
## 9017 No No 983.6190158 24666.683
## 9018 No Yes 0.0000000 16156.029
## 9019 No Yes 1209.3841984 12830.833
## 9020 No No 527.1727849 28931.128
## 9021 No No 671.7654800 40907.808
## 9022 No No 807.2945307 49367.776
## 9023 No Yes 1189.4647405 17287.639
## 9024 No No 612.1079216 31367.713
## 9025 No No 1.9807344 42380.875
## 9026 No No 507.9075264 45727.769
## 9027 No No 1678.1184657 41813.892
## 9028 No No 0.0000000 51054.569
## 9029 No Yes 378.6721749 14328.312
## 9030 No Yes 1202.7607108 20973.260
## 9031 No Yes 1038.5409971 21839.720
## 9032 No No 333.1800575 29400.478
## 9033 No No 1322.2517606 43802.627
## 9034 No Yes 1579.2169960 15111.914
## 9035 No No 852.5307769 46662.768
## 9036 No No 1407.8692079 43033.936
## 9037 No Yes 0.0000000 17791.433
## 9038 No No 350.1960855 46893.732
## 9039 No Yes 1276.3508390 27732.269
## 9040 No No 17.0316800 24492.213
## 9041 Yes No 1288.4069966 44253.309
## 9042 No No 861.3638604 47969.677
## 9043 No No 1209.7566413 40605.813
## 9044 No No 1067.7792287 28077.255
## 9045 No No 831.5873300 32203.272
## 9046 Yes No 1747.9836686 18966.110
## 9047 No No 0.0000000 58211.536
## 9048 No Yes 1177.3276546 13737.050
## 9049 No No 0.0000000 50559.471
## 9050 No No 943.4672893 26388.617
## 9051 No No 61.1833446 37604.218
## 9052 No No 1436.6476691 38571.328
## 9053 No No 343.6431783 43483.738
## 9054 No No 1018.3828710 30846.821
## 9055 No Yes 1173.0981201 23811.000
## 9056 No No 979.8510491 44869.047
## 9057 No No 444.6047964 51584.336
## 9058 No No 282.0424337 50501.077
## 9059 No Yes 1420.0229816 26424.539
## 9060 No No 654.6613601 32400.481
## 9061 No No 1388.5634893 21151.263
## 9062 No Yes 0.0000000 13621.811
## 9063 No No 0.0238163 37981.781
## 9064 No Yes 1132.0840570 15675.534
## 9065 No No 1330.4810969 50459.047
## 9066 No No 815.1740233 37946.981
## 9067 No No 1163.3240404 38323.084
## 9068 No No 769.2306365 49590.067
## 9069 No No 698.0788729 38960.267
## 9070 No No 0.0000000 41239.021
## 9071 Yes Yes 1789.4774748 17667.782
## 9072 No No 1124.9665268 50701.728
## 9073 No No 1012.2862081 60697.634
## 9074 No No 0.0000000 31722.330
## 9075 No No 481.7778056 34478.953
## 9076 No Yes 1383.5698236 17245.029
## 9077 No No 856.7704514 42662.802
## 9078 No No 994.0118889 52188.775
## 9079 No No 203.3281235 40490.145
## 9080 Yes No 1856.9147165 33445.617
## 9081 No No 566.8727192 67018.420
## 9082 No No 1428.7252580 51633.433
## 9083 No No 1339.1999630 44257.935
## 9084 No Yes 215.6338978 23221.619
## 9085 Yes No 1125.6565618 34758.124
## 9086 No No 514.8594362 57241.703
## 9087 No Yes 564.8027621 21314.779
## 9088 No Yes 705.8830645 11121.699
## 9089 No No 390.0217243 39029.857
## 9090 No No 690.6010978 43511.337
## 9091 No Yes 1596.7010548 21581.272
## 9092 No No 1578.4637113 51413.840
## 9093 No Yes 1363.9929568 18140.361
## 9094 No No 819.3263746 22406.055
## 9095 No No 0.0000000 44712.232
## 9096 No No 870.0205679 40535.310
## 9097 No No 629.2718914 35695.089
## 9098 No No 217.5124122 39616.260
## 9099 No Yes 1702.9817017 25203.457
## 9100 No No 86.5788882 31893.223
## 9101 No Yes 967.1689244 27077.627
## 9102 No Yes 329.7643313 17762.774
## 9103 No No 594.3644282 24273.562
## 9104 No No 51.0723021 38764.395
## 9105 No No 345.3938681 27012.754
## 9106 No Yes 740.5778507 17700.072
## 9107 No No 1128.8334750 45043.936
## 9108 No No 1549.2633061 43240.459
## 9109 No Yes 472.0245371 13685.470
## 9110 No No 466.1097686 26598.121
## 9111 No No 633.7831603 37672.158
## 9112 No No 959.0214602 46133.134
## 9113 No No 1634.9966852 36995.751
## 9114 No No 155.9930613 37599.768
## 9115 No No 1060.9729203 37410.376
## 9116 No No 862.1501957 59240.845
## 9117 No Yes 380.9051066 22042.570
## 9118 No No 184.5304739 35058.341
## 9119 No No 1690.3873495 46228.320
## 9120 No No 406.9985219 41505.406
## 9121 No No 626.1681253 35196.078
## 9122 No No 1915.3320660 21361.048
## 9123 No Yes 1017.3609664 21702.183
## 9124 No No 669.3614789 46007.005
## 9125 No No 574.4698776 46696.186
## 9126 No Yes 256.3256705 15627.663
## 9127 No Yes 1365.7911904 22301.706
## 9128 No No 1194.6452356 35622.328
## 9129 No No 286.3010545 30026.071
## 9130 No Yes 1260.4940090 8549.253
## 9131 No No 659.7830853 42054.915
## 9132 No Yes 583.7742232 12240.661
## 9133 No No 1024.8194768 40380.298
## 9134 No No 1045.4268859 50639.060
## 9135 No No 522.7744089 37481.682
## 9136 No No 212.9317825 46843.912
## 9137 No No 0.0000000 54609.729
## 9138 No No 316.5638722 30293.963
## 9139 No No 625.0173287 58911.609
## 9140 No Yes 789.3772662 21140.509
## 9141 No No 454.4881463 39608.323
## 9142 No No 1293.2976064 65128.405
## 9143 No No 964.0904134 48405.843
## 9144 No No 316.0175119 39959.930
## 9145 No No 826.0227222 53874.372
## 9146 No No 667.4920413 24613.676
## 9147 No Yes 950.4772929 17932.125
## 9148 No No 0.0000000 54659.163
## 9149 No No 650.2901385 44358.652
## 9150 No No 448.8819968 38426.259
## 9151 No No 1326.4123698 35158.190
## 9152 No No 1322.0939767 51845.180
## 9153 No No 575.1376565 25669.697
## 9154 No No 392.4771819 20674.673
## 9155 No Yes 716.0480967 15149.876
## 9156 No No 358.9239515 50989.744
## 9157 No No 946.8920555 9364.850
## 9158 No No 184.8872983 49716.020
## 9159 No No 600.8200858 49727.490
## 9160 No No 965.1504836 34783.007
## 9161 No No 937.0370554 42169.043
## 9162 No No 1225.9226476 43718.695
## 9163 No No 581.3131046 32454.110
## 9164 No No 62.1109339 51206.293
## 9165 No No 1653.5518764 23137.561
## 9166 No Yes 994.0907388 17401.847
## 9167 No Yes 1080.7597327 16900.391
## 9168 No No 663.6637928 51135.086
## 9169 No No 0.0000000 44464.297
## 9170 No No 11.1380701 52195.921
## 9171 No Yes 1403.1635256 28207.932
## 9172 No No 1005.5254294 34587.244
## 9173 No Yes 831.3044957 17572.318
## 9174 No No 154.2124634 29153.452
## 9175 No No 497.8819052 55543.625
## 9176 No Yes 601.8912206 16948.613
## 9177 No No 832.3445356 51737.371
## 9178 No No 1557.5590160 36742.189
## 9179 No No 705.3382099 23952.545
## 9180 Yes No 1234.1020213 43764.869
## 9181 No Yes 816.4436082 19141.730
## 9182 No No 768.3785848 43325.970
## 9183 No Yes 1725.3392436 18268.195
## 9184 No No 1004.1254073 53397.392
## 9185 No Yes 952.8871314 15082.677
## 9186 No No 1965.3293582 31804.634
## 9187 No No 930.0813016 21575.424
## 9188 No No 499.6463238 69342.672
## 9189 No No 1140.1401141 41775.518
## 9190 No No 518.3699058 27527.235
## 9191 No No 1167.8891582 35969.024
## 9192 No No 1402.2427172 32742.271
## 9193 No No 0.0000000 31363.650
## 9194 No No 42.1499932 31812.892
## 9195 No No 989.0177917 35129.092
## 9196 No No 10.2314853 27237.381
## 9197 No Yes 1298.5118086 20491.770
## 9198 No No 987.2500449 50045.763
## 9199 No No 920.5743145 40527.987
## 9200 No No 534.0555448 30948.807
## 9201 No Yes 1249.7664735 16251.285
## 9202 No Yes 732.4299418 26433.105
## 9203 No No 655.1998724 38192.530
## 9204 No No 224.2091091 51199.642
## 9205 No No 635.8087110 40497.382
## 9206 No Yes 1384.4153731 13707.042
## 9207 No No 979.1059379 46319.912
## 9208 No Yes 1463.8281109 15657.434
## 9209 No No 1302.7837778 50709.509
## 9210 No Yes 50.9514863 16251.611
## 9211 No No 1235.1876840 50865.524
## 9212 No Yes 1047.2256243 18069.252
## 9213 No Yes 1032.6257893 21122.957
## 9214 No Yes 1285.9563966 24106.580
## 9215 No No 1265.1277393 49385.522
## 9216 No No 1032.5130005 42495.463
## 9217 No No 566.3670972 39033.325
## 9218 No No 521.8002069 22209.055
## 9219 No Yes 313.2133614 28399.351
## 9220 No Yes 0.0000000 18251.726
## 9221 No Yes 982.8003557 20312.211
## 9222 No No 430.4690603 47462.071
## 9223 No Yes 1255.8488881 22022.577
## 9224 No No 1082.1694961 54099.920
## 9225 No No 450.3274856 52446.410
## 9226 No No 814.6550424 42520.094
## 9227 No Yes 1068.4546407 13638.703
## 9228 No No 549.1689893 64952.613
## 9229 No No 928.4096682 41482.444
## 9230 No No 1476.7626426 54844.519
## 9231 No Yes 785.8549597 19188.914
## 9232 No No 1493.6103800 38744.228
## 9233 No No 1074.0159104 50491.261
## 9234 No No 693.3584799 46466.299
## 9235 No No 848.6053871 22749.648
## 9236 No No 1233.7118744 72461.301
## 9237 No No 1264.1323850 35385.117
## 9238 No No 1474.6380359 39872.228
## 9239 No No 700.2448482 25919.039
## 9240 No No 803.9755663 41429.248
## 9241 No No 120.8430530 36205.878
## 9242 No No 1032.4034838 38691.794
## 9243 No No 563.9920899 60222.368
## 9244 No No 377.3636418 37442.843
## 9245 No No 0.0000000 26493.243
## 9246 No Yes 688.6979763 18794.490
## 9247 No Yes 583.2484746 17353.839
## 9248 No No 1509.8711308 41246.587
## 9249 No No 43.1435004 34316.890
## 9250 No No 860.7512943 36605.232
## 9251 No No 204.0302467 51108.045
## 9252 No No 1059.2443870 59865.028
## 9253 No No 1207.7412242 33416.607
## 9254 No No 615.8218494 34590.684
## 9255 No No 1018.5681299 34103.880
## 9256 No No 1436.6707242 46755.281
## 9257 Yes No 1800.6417331 48708.960
## 9258 No No 0.0000000 56943.909
## 9259 No Yes 1006.9691579 10364.819
## 9260 No No 868.7298917 40902.430
## 9261 No No 1068.5770350 26315.047
## 9262 No No 838.8491505 34358.867
## 9263 No No 1278.4299721 25590.657
## 9264 No No 264.0160964 45987.474
## 9265 No No 1168.5707349 47561.098
## 9266 No Yes 1600.6255337 24223.251
## 9267 No No 456.1387522 43943.496
## 9268 No Yes 1578.2895549 12778.598
## 9269 No Yes 1205.3100315 19889.571
## 9270 No Yes 1115.5433597 22552.713
## 9271 No Yes 950.4881560 13299.487
## 9272 Yes No 1547.9954448 37524.254
## 9273 No No 256.4389848 40227.382
## 9274 No Yes 1367.8559550 12489.814
## 9275 No No 400.8888732 53900.664
## 9276 No Yes 1020.5890329 13094.946
## 9277 No No 596.4297067 12135.542
## 9278 No No 289.5314970 36841.998
## 9279 No No 775.7339827 37022.003
## 9280 No No 895.3238349 43554.074
## 9281 No No 1798.7789171 57191.632
## 9282 No No 1112.4550010 40576.190
## 9283 No Yes 1225.3459705 5524.375
## 9284 No No 927.6159508 40618.111
## 9285 No No 252.1069537 38494.655
## 9286 No Yes 1128.3562085 15669.097
## 9287 No No 424.4959338 23983.773
## 9288 No Yes 1084.4465308 26713.797
## 9289 No No 1360.3985705 29868.311
## 9290 No Yes 1009.1092511 8868.657
## 9291 No No 0.0000000 29097.545
## 9292 No No 336.5035487 40626.994
## 9293 No No 537.1404260 52513.667
## 9294 No No 600.1348610 39395.978
## 9295 No No 938.0901344 46370.821
## 9296 Yes No 2095.1148169 44647.586
## 9297 No No 1176.7915053 30579.249
## 9298 No No 1099.6249097 48202.215
## 9299 No No 417.6469830 54009.451
## 9300 No No 1175.5949532 19030.139
## 9301 No No 1245.0862947 40290.504
## 9302 No Yes 1381.2745116 23903.855
## 9303 No No 1068.9868882 37171.651
## 9304 No No 635.7618482 49414.727
## 9305 No No 347.6015108 49332.994
## 9306 No No 1579.9093627 45406.512
## 9307 No No 288.1780643 36514.676
## 9308 No Yes 1626.9014211 11702.283
## 9309 No Yes 846.1719595 19577.427
## 9310 No No 1395.6026558 54148.849
## 9311 No Yes 339.6950982 27387.262
## 9312 No Yes 1634.2697258 18036.631
## 9313 No No 75.3986906 50551.036
## 9314 No Yes 375.9188495 20740.076
## 9315 No Yes 770.4087891 1498.227
## 9316 No No 347.3710782 18488.147
## 9317 No No 771.1737061 45956.787
## 9318 No No 1272.0768051 21503.195
## 9319 No Yes 985.2408897 17263.757
## 9320 No No 751.3543919 27179.762
## 9321 No No 829.6896647 35594.224
## 9322 No No 910.0878413 25183.768
## 9323 No No 712.9369924 20810.319
## 9324 No No 977.5153311 33690.649
## 9325 No No 1379.2870219 57843.887
## 9326 No No 1322.9690417 51956.292
## 9327 No No 460.2344394 47305.216
## 9328 No Yes 596.0562474 16084.908
## 9329 Yes Yes 1538.0156031 21356.937
## 9330 No No 471.9188430 60656.051
## 9331 No No 1186.8851989 27494.329
## 9332 No Yes 541.3347065 21245.321
## 9333 No Yes 1286.3555226 20029.891
## 9334 No Yes 1723.2160560 23278.996
## 9335 No No 288.8079496 30470.707
## 9336 No Yes 1595.9068002 23308.136
## 9337 No No 1064.9751063 45737.781
## 9338 No Yes 1941.0540621 14756.211
## 9339 No Yes 889.6422514 16701.369
## 9340 No No 604.8395243 27419.425
## 9341 No No 1003.6014265 24978.085
## 9342 No Yes 1464.3558975 21826.441
## 9343 No No 322.2886981 19420.400
## 9344 No No 639.8670344 34879.559
## 9345 No No 687.1568293 26902.703
## 9346 No Yes 978.2369035 15073.788
## 9347 No No 337.1756682 35040.942
## 9348 No No 880.7508517 34604.679
## 9349 No No 1285.5280381 39530.760
## 9350 No No 939.6986740 52383.275
## 9351 No Yes 729.8121989 9871.924
## 9352 No No 0.0000000 62160.286
## 9353 No Yes 1471.0335400 12665.242
## 9354 No Yes 816.9657660 13932.210
## 9355 No Yes 1323.3956578 23072.550
## 9356 No Yes 383.8234010 11777.538
## 9357 No No 1634.7315547 40868.332
## 9358 No No 846.3932928 38352.565
## 9359 No No 364.6630512 10239.972
## 9360 No Yes 833.6144952 11078.390
## 9361 No Yes 1867.5522683 16650.042
## 9362 No No 823.6097758 34856.526
## 9363 No No 1255.3499774 23297.475
## 9364 No No 1024.4083051 45202.266
## 9365 No No 0.0000000 36922.868
## 9366 No Yes 1447.9707930 16421.455
## 9367 No Yes 1057.5993660 21570.753
## 9368 No Yes 1027.1329013 16259.381
## 9369 No Yes 1212.7370412 18090.478
## 9370 Yes No 1815.1741119 23648.414
## 9371 No Yes 167.6379148 16771.567
## 9372 No No 272.5261417 32687.110
## 9373 No No 0.0000000 39462.688
## 9374 No No 1387.2886457 29712.772
## 9375 No No 624.5478327 48345.337
## 9376 No No 262.9951148 17822.613
## 9377 No No 986.7600897 44605.445
## 9378 No No 0.0000000 43930.904
## 9379 No Yes 884.3118999 17542.920
## 9380 No No 929.8301537 45178.053
## 9381 No No 751.8438613 52663.293
## 9382 No Yes 0.0000000 18875.772
## 9383 No Yes 879.7105153 17863.842
## 9384 No Yes 1313.9762483 20030.429
## 9385 No No 319.1315969 34296.774
## 9386 No No 996.1819846 57972.504
## 9387 No No 1123.4347229 45366.811
## 9388 No No 110.5559311 32419.151
## 9389 No No 581.9607584 31654.559
## 9390 No No 982.2264655 38152.697
## 9391 No No 874.6174204 37143.645
## 9392 No No 650.0070413 41427.877
## 9393 No No 1452.6844279 43418.829
## 9394 No Yes 1443.8604259 19146.291
## 9395 No Yes 0.0000000 13911.441
## 9396 No No 737.3487795 50264.760
## 9397 No No 106.1910377 41514.758
## 9398 No Yes 1273.7523392 19635.662
## 9399 No No 863.0460510 50667.877
## 9400 No No 1504.6825683 38223.246
## 9401 No Yes 1182.6790445 17287.748
## 9402 No No 853.0604228 39553.366
## 9403 No Yes 160.8871375 19686.744
## 9404 No No 1118.5659766 46578.466
## 9405 No Yes 271.6699001 14080.754
## 9406 No No 584.0902554 24580.857
## 9407 No No 911.9315442 40503.004
## 9408 No No 745.8666182 54677.683
## 9409 No Yes 1291.0758517 17136.513
## 9410 No No 572.8895007 43381.915
## 9411 No No 445.8292876 42343.801
## 9412 No No 865.4002135 53798.819
## 9413 No No 886.7774330 43410.382
## 9414 No Yes 451.6953090 11460.435
## 9415 No No 558.3214070 42767.325
## 9416 No No 1602.0038935 41827.701
## 9417 No No 503.4992852 36521.433
## 9418 No No 521.9028271 47032.599
## 9419 No No 1214.5496538 21630.038
## 9420 No Yes 596.2052136 22324.468
## 9421 No No 926.1661340 41501.723
## 9422 No No 522.6443371 35893.288
## 9423 No No 986.2647529 38664.790
## 9424 No Yes 885.9235776 22365.855
## 9425 No No 562.3141784 63794.542
## 9426 No No 503.3018571 37749.521
## 9427 No No 1375.3849538 47099.207
## 9428 No Yes 1089.4052592 19053.589
## 9429 No No 770.4863341 25445.878
## 9430 No No 797.3166569 35034.807
## 9431 No Yes 389.2132418 22907.767
## 9432 No No 589.3910369 38255.537
## 9433 Yes No 2073.7828464 52335.551
## 9434 No No 1128.4114630 51778.180
## 9435 No No 1142.6697001 40823.380
## 9436 No Yes 1007.5378273 16814.296
## 9437 No Yes 789.0991535 18653.633
## 9438 Yes No 961.7326620 27600.416
## 9439 No Yes 1264.6498870 23852.642
## 9440 No Yes 1627.4598404 19630.161
## 9441 No Yes 979.0653268 17666.387
## 9442 No No 768.8103024 47003.441
## 9443 No No 714.5124913 48115.505
## 9444 No No 223.3563457 51662.597
## 9445 No No 1659.2921909 36641.727
## 9446 No No 1062.2840096 50894.104
## 9447 No No 38.6791212 30961.742
## 9448 No No 1216.9814516 37967.688
## 9449 Yes No 1825.9705992 39407.917
## 9450 No Yes 293.5195709 10592.847
## 9451 No No 1588.8763559 45093.446
## 9452 No No 1926.2468758 46535.202
## 9453 No No 892.9195198 9299.868
## 9454 No Yes 1583.4180309 23434.709
## 9455 No Yes 968.9539610 13867.524
## 9456 No No 258.2552591 38309.988
## 9457 No Yes 492.2459418 23689.790
## 9458 No No 1240.5738907 35598.887
## 9459 Yes No 1658.9676893 38204.123
## 9460 No Yes 877.1562292 22046.539
## 9461 No Yes 0.0000000 20877.888
## 9462 No Yes 1041.3104416 12078.778
## 9463 No No 1806.9165306 36306.818
## 9464 No No 0.0000000 28705.203
## 9465 No No 1500.5940037 27354.500
## 9466 No No 1329.9113884 50560.762
## 9467 No No 913.8865735 15220.504
## 9468 No No 898.5668285 37919.751
## 9469 No No 0.0000000 47231.273
## 9470 No No 457.6015016 49908.597
## 9471 No No 882.0879636 43549.990
## 9472 No No 602.6228949 25376.450
## 9473 No No 513.3962714 19021.642
## 9474 No No 880.7170052 35579.243
## 9475 No No 815.6912947 48646.542
## 9476 No No 1295.6133459 39717.736
## 9477 No No 1740.6341233 48311.440
## 9478 Yes No 1506.1918482 47061.395
## 9479 No No 906.4161880 49815.651
## 9480 No No 1278.0175534 41691.196
## 9481 No No 45.8224266 32525.638
## 9482 No No 629.6055874 50113.821
## 9483 No No 270.5878637 33490.005
## 9484 No No 1486.0548097 34705.361
## 9485 No Yes 830.6517981 14420.623
## 9486 Yes Yes 1719.2556548 15752.008
## 9487 No No 935.6365984 21730.861
## 9488 No Yes 482.1352042 17459.004
## 9489 No No 335.8245426 29402.768
## 9490 No No 870.4123797 17685.448
## 9491 No No 527.9403591 47963.179
## 9492 No No 1104.3066232 40006.133
## 9493 No Yes 1220.9388308 6744.042
## 9494 No No 1338.5324566 35072.303
## 9495 No Yes 1129.2342928 22689.614
## 9496 No No 915.5180560 42331.022
## 9497 No No 833.9577066 34174.645
## 9498 No No 381.5665199 49114.893
## 9499 No No 218.5898068 34512.633
## 9500 No No 1156.9945281 53450.274
## 9501 Yes Yes 2046.6395149 17910.634
## 9502 No Yes 1368.3830183 16449.725
## 9503 No Yes 1302.5163180 18210.806
## 9504 No No 1175.2891392 35830.046
## 9505 No Yes 256.3677844 18200.880
## 9506 No No 908.9987947 46174.471
## 9507 No Yes 1107.0024130 30618.620
## 9508 No No 618.4607312 49385.788
## 9509 No No 932.8729980 61192.897
## 9510 No No 547.7177274 50619.361
## 9511 Yes Yes 1726.4796097 13654.605
## 9512 No No 581.0035694 52917.729
## 9513 No No 356.6131680 44473.396
## 9514 No No 644.8630705 38794.676
## 9515 No Yes 737.0822476 24637.617
## 9516 Yes No 1666.1138342 25054.768
## 9517 No Yes 1215.4700141 20456.438
## 9518 No Yes 1002.7752844 11604.288
## 9519 No No 363.2293301 51821.427
## 9520 No No 0.0000000 45178.592
## 9521 No No 29.6164765 26710.010
## 9522 No Yes 1036.1173984 15067.748
## 9523 Yes No 959.1592134 59435.235
## 9524 No No 390.5302949 57525.266
## 9525 No No 451.0760516 38348.490
## 9526 No No 1412.9967045 53295.873
## 9527 No No 216.5282622 28859.695
## 9528 No Yes 1027.0705903 24346.940
## 9529 No No 143.7547093 48250.308
## 9530 No Yes 887.6564222 16993.288
## 9531 No No 1199.9802656 38251.183
## 9532 No Yes 1075.1790734 21569.371
## 9533 No No 932.6024332 44714.484
## 9534 No Yes 1434.5899775 16613.431
## 9535 No No 444.5863003 51386.283
## 9536 No No 853.2122166 31607.393
## 9537 No Yes 973.0478582 23033.850
## 9538 No Yes 102.2830716 20671.047
## 9539 Yes No 652.3971344 46155.044
## 9540 No No 132.7309018 33370.834
## 9541 No No 1128.4707447 49540.702
## 9542 No No 1315.2252389 52556.154
## 9543 No Yes 1025.8582413 21561.889
## 9544 No No 785.7866574 48179.383
## 9545 No Yes 1775.1815372 20385.874
## 9546 No No 362.0550497 50906.481
## 9547 No No 1154.5789145 61089.431
## 9548 No No 18.2945818 43247.903
## 9549 No No 0.0000000 37517.246
## 9550 No Yes 1740.8700503 17478.031
## 9551 No Yes 1228.9939009 18810.384
## 9552 No Yes 1669.7237090 20301.316
## 9553 No No 1584.5659432 45447.187
## 9554 No No 751.1222244 37304.199
## 9555 No No 1063.3362606 39301.282
## 9556 No No 710.1364610 46308.270
## 9557 No No 1063.7245030 26045.928
## 9558 No No 162.7846520 33935.491
## 9559 No No 615.0013946 40236.534
## 9560 No No 1011.3671921 28172.915
## 9561 No Yes 1658.3735746 22010.486
## 9562 No No 1490.9830458 39596.057
## 9563 No Yes 1630.4885547 16310.534
## 9564 No No 781.2749578 53178.927
## 9565 No No 476.3012118 25774.488
## 9566 No No 892.4450599 28187.541
## 9567 No Yes 1671.5232076 9981.897
## 9568 No No 813.8609406 33357.809
## 9569 No No 1280.2301902 23647.333
## 9570 No No 564.3948535 30380.640
## 9571 No No 525.8713814 8017.639
## 9572 No No 837.3284070 61950.803
## 9573 No Yes 1847.4696466 19388.689
## 9574 No Yes 717.7596662 19567.703
## 9575 No Yes 1935.5042196 9431.294
## 9576 No No 808.4947937 56204.663
## 9577 No No 218.7394220 53259.762
## 9578 No Yes 118.2014929 15472.656
## 9579 No No 988.1720461 49057.042
## 9580 No Yes 673.3272479 14431.459
## 9581 No Yes 616.3120185 14663.564
## 9582 No Yes 475.8532047 19993.756
## 9583 No No 221.5467559 43668.392
## 9584 No No 959.1720257 38310.086
## 9585 No No 575.6740578 36958.752
## 9586 No No 1017.6559142 37241.791
## 9587 No No 1763.8456396 36686.348
## 9588 No No 883.3906599 38408.977
## 9589 No No 830.2341000 36523.481
## 9590 No No 163.2610271 40600.415
## 9591 No Yes 2.9944620 18710.265
## 9592 No No 51.1859857 39385.760
## 9593 No No 806.2166632 35259.305
## 9594 No No 1186.4858849 50371.725
## 9595 No Yes 357.9512904 14338.529
## 9596 No Yes 1590.8230987 21784.113
## 9597 No Yes 822.0901693 20906.218
## 9598 No No 1082.8154178 41355.986
## 9599 No No 779.4775240 34089.797
## 9600 No No 4.6794144 44571.706
## 9601 No No 58.7512053 26939.040
## 9602 No Yes 966.4818283 23116.580
## 9603 No No 683.9218808 37383.233
## 9604 No Yes 0.0000000 18235.674
## 9605 No No 1139.0203093 24573.921
## 9606 No No 1293.4596818 48039.936
## 9607 No No 304.5443388 47217.872
## 9608 No No 1215.1489392 51804.994
## 9609 No Yes 305.7879569 16594.528
## 9610 No No 693.7173326 40148.871
## 9611 Yes Yes 1502.1867387 18603.496
## 9612 No No 1645.4231796 36839.396
## 9613 No No 279.6706730 58566.884
## 9614 No No 1267.4852107 40034.567
## 9615 No No 456.3730188 47633.785
## 9616 No No 962.1342815 44696.291
## 9617 No Yes 698.9785363 25103.009
## 9618 No No 619.0292594 42868.590
## 9619 No No 870.9717257 39653.377
## 9620 No No 217.7382263 47657.306
## 9621 No No 713.3260637 44605.351
## 9622 No Yes 306.4338126 13934.518
## 9623 No No 1314.8953856 33706.559
## 9624 No No 1057.6796686 39708.033
## 9625 No Yes 625.6011998 16134.212
## 9626 No No 1302.6555813 28978.557
## 9627 No No 1408.3514742 33697.346
## 9628 No Yes 926.5694310 19243.406
## 9629 No No 1018.4096396 25394.255
## 9630 No No 0.0000000 40737.867
## 9631 No No 724.8873243 27800.952
## 9632 No Yes 325.2836312 15962.710
## 9633 No No 445.7173734 25171.860
## 9634 No No 1367.4427659 45919.592
## 9635 No No 1353.9187409 39879.159
## 9636 No No 1555.9680700 34417.873
## 9637 No No 1267.1658001 51197.800
## 9638 No Yes 640.8190409 19055.917
## 9639 No No 658.0537091 41882.581
## 9640 No Yes 808.8337865 18791.560
## 9641 No No 819.1126054 50082.889
## 9642 No Yes 1365.0228237 23281.320
## 9643 No No 396.8440851 32656.523
## 9644 No No 421.6981304 32290.326
## 9645 No No 969.3588374 46026.719
## 9646 No Yes 1490.0754507 15910.802
## 9647 No Yes 1079.0779493 17966.769
## 9648 No No 809.4556899 39077.433
## 9649 No Yes 641.8936456 16400.365
## 9650 No No 872.3208931 44407.790
## 9651 No Yes 1004.6301529 9643.366
## 9652 No Yes 1170.9115362 19473.692
## 9653 No No 1433.6461005 44617.739
## 9654 No No 579.2802194 50813.509
## 9655 Yes No 2128.7959919 42096.502
## 9656 No Yes 842.9107463 14462.276
## 9657 No No 4.1009402 42174.180
## 9658 No No 218.3797414 36044.815
## 9659 No Yes 717.8754839 23406.820
## 9660 No Yes 1146.8349874 14336.429
## 9661 No No 968.5158515 41714.990
## 9662 No No 1124.5871563 45622.942
## 9663 No No 419.0007993 37186.789
## 9664 No Yes 320.7255697 12589.768
## 9665 No No 426.7641498 38495.798
## 9666 No No 949.1775916 36557.962
## 9667 No No 968.7366195 17352.410
## 9668 No No 1188.9651682 42286.488
## 9669 No Yes 1436.8299895 22925.470
## 9670 No Yes 843.0178966 12268.934
## 9671 No No 1410.9599151 58310.256
## 9672 No Yes 598.7333129 23118.531
## 9673 No No 72.9283697 13300.770
## 9674 No No 1347.7808497 29345.958
## 9675 No No 0.0000000 41160.623
## 9676 No Yes 1280.8480662 20575.245
## 9677 No No 1088.5747730 43883.149
## 9678 No No 1111.9581429 47254.690
## 9679 No No 1124.1417438 46052.182
## 9680 No No 0.0000000 36337.352
## 9681 No Yes 711.8512316 15132.394
## 9682 No No 548.8392758 44909.066
## 9683 No No 385.2501833 55268.661
## 9684 No No 1132.1749035 56152.429
## 9685 No No 399.1183753 48889.989
## 9686 No Yes 810.1022252 15102.324
## 9687 No No 1036.7747461 46239.073
## 9688 No No 927.7661181 38197.374
## 9689 No No 999.8260907 43661.142
## 9690 No No 649.2697755 31039.002
## 9691 No No 1391.3183015 48414.906
## 9692 No No 1058.5636997 38917.831
## 9693 No No 415.5417379 44147.221
## 9694 No No 771.1374169 42418.368
## 9695 No No 727.9745470 20456.156
## 9696 No No 239.3271650 49328.209
## 9697 No Yes 1219.7603497 17208.209
## 9698 No No 953.9364650 41250.478
## 9699 No No 143.3753202 17435.096
## 9700 No Yes 1669.2781056 13771.393
## 9701 No Yes 719.5540535 17195.745
## 9702 No No 295.3071502 45776.843
## 9703 No No 804.4996588 51014.824
## 9704 No No 619.3688154 45886.079
## 9705 No No 1157.1169292 38867.064
## 9706 No No 287.8432009 46617.063
## 9707 No Yes 1070.7521200 11383.443
## 9708 No No 452.3679123 29254.871
## 9709 No No 492.3523118 39305.227
## 9710 No Yes 1033.0418465 18958.315
## 9711 No No 1191.6105841 49004.836
## 9712 No Yes 1463.3784512 14380.625
## 9713 No No 152.4402670 23366.517
## 9714 No No 182.3704600 45507.934
## 9715 No No 732.1370669 42693.940
## 9716 No No 1916.0885076 23316.570
## 9717 No Yes 419.7107822 18073.002
## 9718 No No 1418.5561736 33960.568
## 9719 No Yes 811.6886759 20016.753
## 9720 No No 214.2364951 38720.811
## 9721 No Yes 799.1592677 19547.413
## 9722 No No 831.4561419 58476.739
## 9723 No Yes 713.5598393 24324.144
## 9724 No Yes 870.7730355 16446.355
## 9725 No No 301.3194028 51539.952
## 9726 No Yes 1235.9664868 21706.630
## 9727 No No 572.0040551 42484.571
## 9728 No No 545.9932912 52619.622
## 9729 No Yes 1407.0401242 25589.743
## 9730 No No 1171.1633132 27338.003
## 9731 No No 322.9823275 25267.398
## 9732 No No 497.5406723 43898.428
## 9733 No No 92.1021951 22726.413
## 9734 No No 395.4755073 45084.106
## 9735 No Yes 184.9252469 11126.266
## 9736 No No 209.6744506 35688.136
## 9737 No No 376.1854981 31373.356
## 9738 No No 1492.1896538 39004.503
## 9739 No No 905.5317518 43066.060
## 9740 No Yes 627.6681284 18539.564
## 9741 No Yes 1224.5206530 22327.408
## 9742 No No 667.3723112 35694.429
## 9743 No No 278.7031614 30113.853
## 9744 No No 1389.8030750 48868.093
## 9745 No No 1060.7288414 49396.772
## 9746 No Yes 1080.5689215 20439.853
## 9747 No Yes 912.5594287 14262.128
## 9748 No No 534.4322264 34129.475
## 9749 No No 280.4616786 26212.908
## 9750 No Yes 801.7215785 18698.409
## 9751 No No 1125.1587364 37864.326
## 9752 No Yes 1569.3027565 13711.492
## 9753 No No 755.4604432 33460.926
## 9754 No Yes 860.8286768 27186.500
## 9755 No No 1233.6189257 49448.171
## 9756 No No 699.5684983 48773.820
## 9757 No No 914.8810755 39789.055
## 9758 No No 1650.0321034 49481.713
## 9759 No No 366.5943613 33708.786
## 9760 No No 400.6469289 37173.485
## 9761 No No 0.0000000 37538.045
## 9762 No No 1902.1498995 35008.666
## 9763 No No 982.6310241 60388.020
## 9764 No No 717.9696372 43826.879
## 9765 No No 874.4512007 24707.490
## 9766 No No 1577.0348375 33319.312
## 9767 No Yes 1700.5723657 20844.719
## 9768 No No 425.8199081 14540.905
## 9769 No No 667.6561036 52946.365
## 9770 No No 0.0000000 48112.478
## 9771 No Yes 764.8071634 18347.311
## 9772 No No 1030.1912990 34250.875
## 9773 No No 426.2863964 38585.549
## 9774 No No 0.0000000 43599.453
## 9775 No No 1039.2072547 40028.904
## 9776 No No 603.2531381 50214.855
## 9777 No Yes 1446.6437602 8797.284
## 9778 No No 1396.2075148 39023.482
## 9779 No No 297.2430337 39081.923
## 9780 No No 613.9770765 34752.088
## 9781 No No 828.8408630 39984.273
## 9782 No No 675.1149519 58672.052
## 9783 No Yes 1670.4673071 15838.315
## 9784 Yes Yes 1530.5514791 13003.929
## 9785 No Yes 356.1987479 21466.207
## 9786 No No 284.1692103 37463.618
## 9787 Yes No 1698.8261425 27374.888
## 9788 No Yes 0.0000000 20195.003
## 9789 No Yes 1038.8867484 10414.554
## 9790 No No 392.5664548 45469.722
## 9791 No No 23.3571065 56686.916
## 9792 No Yes 1503.9727209 14661.832
## 9793 No Yes 799.5164509 23024.853
## 9794 No No 1534.6832102 48592.334
## 9795 No Yes 655.4491646 18265.595
## 9796 No Yes 939.7048867 11331.433
## 9797 Yes Yes 1867.3085691 24720.481
## 9798 No No 399.9018204 40863.115
## 9799 No No 381.2585585 55896.234
## 9800 No No 1509.9156641 24427.769
## 9801 No No 1209.6520281 58174.921
## 9802 No No 1359.8021392 46235.235
## 9803 No No 1267.5507398 10233.880
## 9804 No No 890.1498410 38350.292
## 9805 No No 1508.7490118 30587.344
## 9806 No No 1260.1548691 35733.466
## 9807 No No 0.0000000 33220.985
## 9808 No No 67.3884623 48792.117
## 9809 No No 1132.6478026 33677.781
## 9810 No No 0.0000000 22074.494
## 9811 No No 861.5900531 32901.010
## 9812 No No 796.2989755 37923.394
## 9813 No No 1356.1592221 42262.930
## 9814 Yes No 1975.6530282 38221.840
## 9815 No No 663.6636338 43951.253
## 9816 No No 0.0000000 39043.277
## 9817 No No 398.0231243 33056.671
## 9818 No No 304.0779533 47196.076
## 9819 No No 1292.6727632 52541.649
## 9820 No No 1664.0956519 54087.641
## 9821 No No 1069.7198567 34538.997
## 9822 No Yes 618.6241213 20836.793
## 9823 No Yes 1609.1360586 16373.945
## 9824 No Yes 1538.4493030 15991.221
## 9825 No No 734.2534108 56253.810
## 9826 No No 931.9577960 40913.435
## 9827 No Yes 0.0000000 17557.963
## 9828 No No 524.8626184 54738.507
## 9829 No No 1135.4932931 37962.983
## 9830 No No 1115.9612530 30620.268
## 9831 No No 157.6604751 42125.734
## 9832 No Yes 11.3955682 19387.921
## 9833 No Yes 434.8392811 16775.320
## 9834 No Yes 863.3212670 20425.851
## 9835 No Yes 822.8866687 22376.226
## 9836 No Yes 1203.9469039 20904.838
## 9837 No No 901.6135616 35283.896
## 9838 No No 1000.7645608 36709.084
## 9839 No Yes 715.3411710 21309.141
## 9840 No No 325.0912751 41257.561
## 9841 No Yes 948.8804092 8503.603
## 9842 No No 751.3401410 68883.395
## 9843 No No 1484.7776948 32479.090
## 9844 No No 1253.8604774 41767.397
## 9845 No No 1262.1684120 29545.500
## 9846 No Yes 46.0102253 13950.087
## 9847 No No 0.0000000 39469.929
## 9848 No Yes 906.1238153 19275.800
## 9849 No No 273.6397880 21911.634
## 9850 No No 1037.7665230 53823.230
## 9851 No Yes 508.0502997 14925.961
## 9852 No No 543.9718971 34390.503
## 9853 No Yes 1219.9754804 15039.554
## 9854 No Yes 697.1713264 22254.062
## 9855 No Yes 1066.5457599 15553.088
## 9856 No No 761.5537246 46836.672
## 9857 Yes No 1973.8221467 27340.012
## 9858 No No 1021.2796000 44718.408
## 9859 No No 783.0870843 36917.103
## 9860 No No 1354.3329461 29590.829
## 9861 No No 677.7088241 31158.468
## 9862 No No 317.8555578 63021.748
## 9863 No No 141.1284837 41300.722
## 9864 No No 759.2302682 48560.136
## 9865 No No 1133.9457959 47188.948
## 9866 No No 0.0000000 43593.954
## 9867 No No 599.7188463 48085.884
## 9868 No Yes 529.2734426 20358.834
## 9869 No No 962.1443608 60455.463
## 9870 No No 675.0227331 44480.013
## 9871 No Yes 1038.6200815 12312.896
## 9872 No Yes 656.8083859 19017.428
## 9873 No No 1103.7238071 39532.908
## 9874 No No 2391.0077394 50302.910
## 9875 No No 440.4870289 39395.960
## 9876 No No 1070.8640316 36017.003
## 9877 No No 1275.2068517 58961.733
## 9878 No No 763.0399763 35277.902
## 9879 No No 781.9044045 65617.645
## 9880 No No 853.7040154 46291.581
## 9881 No No 323.0349157 33673.810
## 9882 No No 980.0371689 31977.563
## 9883 No No 1077.0075398 33071.469
## 9884 Yes No 1335.6128713 37595.344
## 9885 No No 438.0803769 44737.658
## 9886 No No 955.4206455 45575.421
## 9887 No Yes 923.0188229 19136.615
## 9888 No No 728.2125497 50403.559
## 9889 No No 259.5062852 40405.359
## 9890 No Yes 606.9514434 26718.872
## 9891 No Yes 512.4497777 24192.889
## 9892 No No 0.0000000 43969.215
## 9893 No No 663.6751712 38338.206
## 9894 Yes No 2288.4080819 52043.569
## 9895 No No 0.0000000 34836.341
## 9896 No No 1693.6425779 26995.693
## 9897 No Yes 906.0337005 22658.763
## 9898 No No 763.5347298 49201.435
## 9899 No No 1218.8649858 45593.860
## 9900 No No 496.3754784 33782.537
## 9901 No No 1695.3872380 26623.768
## 9902 No Yes 1128.7687280 17718.942
## 9903 No No 978.2392900 43410.363
## 9904 No No 1084.9099233 15981.689
## 9905 No No 1248.8879029 31960.421
## 9906 No No 1071.2414322 58134.555
## 9907 No No 834.3197877 33687.750
## 9908 No No 1500.5721063 39891.864
## 9909 No Yes 958.8747690 25282.241
## 9910 No No 981.0626387 54020.434
## 9911 No No 1017.7882522 29828.330
## 9912 No Yes 1106.1072009 9610.503
## 9913 Yes No 2148.8984543 44309.917
## 9914 No Yes 1113.7525978 17810.673
## 9915 No Yes 1882.8417903 15968.037
## 9916 No No 1189.2411845 29889.602
## 9917 No No 1092.4259572 43578.647
## 9918 No No 748.4870239 40727.142
## 9919 No No 631.5128658 35053.347
## 9920 No No 477.9072924 34318.983
## 9921 No No 1128.7915629 29722.173
## 9922 Yes Yes 1627.8983227 17546.997
## 9923 No No 625.8701778 53756.044
## 9924 No No 751.3666276 31574.421
## 9925 No No 1074.5145385 41545.684
## 9926 No Yes 501.0582476 23090.997
## 9927 No No 876.4748603 39499.277
## 9928 No Yes 580.3514814 17624.159
## 9929 No No 560.2970822 28419.354
## 9930 No Yes 364.1734146 21487.644
## 9931 No No 898.8957280 41268.313
## 9932 No Yes 705.9302321 19891.304
## 9933 No No 846.4193819 36115.762
## 9934 No No 813.3640705 44707.677
## 9935 No No 528.8820160 44538.551
## 9936 No No 1486.2010681 51021.614
## 9937 No No 696.4657513 37599.620
## 9938 No Yes 1775.5817011 13735.191
## 9939 No No 319.6023694 53135.367
## 9940 No No 879.0354150 52945.819
## 9941 No Yes 421.9572648 21744.974
## 9942 No No 449.3129280 47494.432
## 9943 No No 611.1797439 38712.394
## 9944 No No 461.7521043 37617.044
## 9945 No Yes 1478.6008799 13375.016
## 9946 No No 1105.4674251 32371.401
## 9947 No Yes 734.4591993 17619.487
## 9948 No No 583.3074437 37118.831
## 9949 No No 456.7108145 21892.177
## 9950 Yes No 1750.2531504 51578.940
## 9951 No No 879.6241282 33682.186
## 9952 Yes No 1515.6062385 48688.512
## 9953 No No 13.9444746 31071.634
## 9954 No Yes 776.5442800 14229.728
## 9955 No Yes 865.9063158 18064.244
## 9956 No Yes 692.3563178 18689.052
## 9957 No No 415.7682594 38425.759
## 9958 No No 1765.9908950 47642.422
## 9959 No No 1391.0338768 53255.021
## 9960 No No 0.0000000 53946.234
## 9961 No Yes 826.7412128 18856.900
## 9962 No No 896.7219248 48703.413
## 9963 No Yes 1635.1751223 13518.931
## 9964 No No 453.6482324 32178.622
## 9965 No No 789.5511785 30777.839
## 9966 No Yes 905.1423693 13485.514
## 9967 No No 1439.1187937 20187.788
## 9968 No No 1092.5307748 43482.788
## 9969 No Yes 871.7507742 14247.947
## 9970 No No 991.3353944 44445.579
## 9971 No Yes 1294.5004076 25687.326
## 9972 No Yes 180.6201280 20975.560
## 9973 No No 755.4328007 14455.865
## 9974 No No 876.1190270 37668.367
## 9975 No Yes 933.3320248 26051.398
## 9976 No No 908.3159335 21287.942
## 9977 No No 218.4175592 25401.133
## 9978 No Yes 915.4398274 16624.339
## 9979 Yes No 2202.4623949 47287.257
## 9980 No No 173.2491717 30697.245
## 9981 No Yes 770.0157407 13684.790
## 9982 No No 739.4180178 40656.951
## 9983 No No 623.5261189 59441.310
## 9984 No No 506.6254535 49861.003
## 9985 No No 875.2416404 52861.744
## 9986 No No 842.9494293 39957.128
## 9987 No Yes 401.3326735 15332.018
## 9988 No No 1092.9065831 45479.467
## 9989 No No 0.0000000 41740.687
## 9990 No Yes 999.2811120 20013.351
## 9991 No No 372.3792385 25374.899
## 9992 No No 658.7995582 54802.078
## 9993 No No 1111.6473169 45490.682
## 9994 No No 938.8362414 56633.449
## 9995 No Yes 172.4129875 14955.942
## 9996 No No 711.5550205 52992.379
## 9997 No No 757.9629184 19660.722
## 9998 No No 845.4119892 58636.157
## 9999 No No 1569.0090534 36669.112
## 10000 No Yes 200.9221826 16862.952str(data1)## 'data.frame': 43628 obs. of 14 variables:
## $ age : num 43 74 33 37 30 46 48 38 35 29 ...
## $ job : num 7 6 5 2 10 2 5 5 5 5 ...
## $ marital : num 2 2 2 2 2 2 1 2 2 3 ...
## $ education: num 3 1 3 2 3 1 2 3 3 3 ...
## $ default : num 1 1 1 1 1 1 1 1 1 1 ...
## $ balance : num 64 5539 373 934 1 ...
## $ housing : num 1 1 1 1 1 1 1 1 1 1 ...
## $ contact : num 3 1 1 3 1 1 3 1 1 1 ...
## $ duration : num 230 253 384 258 69 178 236 362 200 130 ...
## $ campaign : num 2 2 1 2 21 4 2 1 4 2 ...
## $ pdays : num -1 181 -1 -1 -1 -1 -1 388 -1 94 ...
## $ previous : num 0 1 0 0 0 0 0 3 0 1 ...
## $ poutcome : num 4 3 4 4 4 4 4 2 4 3 ...
## $ signed.up: num 0 0 0 0 0 0 0 1 1 1 ...#So let's try to predict who will sign up by using a machine learning process of splitting the data into train and test segmenets. We are going to to go with a 80 train 20% test appoarch.
train <- data1[1:8000, ]
test <- data1[8001:10000, ]
#Next we will run our logistic regression model, I'm adding the logit phrase but binomial does this by default so it is not necessary.
logmodel <- glm(signed.up~.,family="binomial",train)
summary(logmodel)##
## Call:
## glm(formula = signed.up ~ ., family = "binomial", data = train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -3.5173 -0.5369 -0.3833 -0.2052 3.0836
##
## Coefficients: (1 not defined because of singularities)
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -2.852e+00 5.422e-01 -5.260 1.44e-07 ***
## age 1.251e-02 3.174e-03 3.943 8.05e-05 ***
## job 7.003e-03 1.107e-02 0.633 0.52706
## marital 2.881e-01 6.576e-02 4.381 1.18e-05 ***
## education 2.437e-01 4.582e-02 5.320 1.04e-07 ***
## default -1.097e+00 3.912e-01 -2.806 0.00502 **
## balance 1.870e-05 7.926e-06 2.360 0.01829 *
## housing NA NA NA NA
## contact -6.835e-01 6.223e-02 -10.984 < 2e-16 ***
## duration 3.555e-03 1.348e-04 26.373 < 2e-16 ***
## campaign -1.730e-01 2.072e-02 -8.348 < 2e-16 ***
## pdays 4.711e-03 5.593e-04 8.423 < 2e-16 ***
## previous 1.416e-01 2.173e-02 6.515 7.27e-11 ***
## poutcome 1.291e-01 5.778e-02 2.235 0.02545 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 7149.7 on 7999 degrees of freedom
## Residual deviance: 5567.9 on 7987 degrees of freedom
## AIC: 5593.9
##
## Number of Fisher Scoring iterations: 6#We drop balance, job, poutcome
logmodel2 <- glm(signed.up~age+marital+education+default+contact+duration+campaign,family="binomial"(link = "logit"),train)
summary(logmodel2)##
## Call:
## glm(formula = signed.up ~ age + marital + education + default +
## contact + duration + campaign, family = binomial(link = "logit"),
## data = train)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -3.5450 -0.5813 -0.4233 -0.2199 3.1648
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -1.8503878 0.4858890 -3.808 0.000140 ***
## age 0.0149391 0.0030831 4.845 1.26e-06 ***
## marital 0.3137041 0.0637400 4.922 8.58e-07 ***
## education 0.2449838 0.0440294 5.564 2.64e-08 ***
## default -1.2838740 0.3890952 -3.300 0.000968 ***
## contact -0.7452752 0.0596737 -12.489 < 2e-16 ***
## duration 0.0034844 0.0001321 26.371 < 2e-16 ***
## campaign -0.1951316 0.0205781 -9.482 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 7149.7 on 7999 degrees of freedom
## Residual deviance: 5845.5 on 7992 degrees of freedom
## AIC: 5861.5
##
## Number of Fisher Scoring iterations: 6#We will stick with logmodel 2. The output is express in log odds, but we can convert to % via exp() function
model2.ouput <- exp(coef(logmodel2))
model2.ouput## (Intercept) age marital education default contact
## 0.1571762 1.0150513 1.3684847 1.2776006 0.2769623 0.4746036
## duration campaign
## 1.0034905 0.8227264We want to do some predicting and evaluate our model further.
prediction.model <- predict.glm(logmodel2,test,type='response')
#We are classifying the output if greater than .05 label as 1 if not lable as a 0
head(prediction.model)## 8001 8002 8003 8004 8005 8006
## 0.06234530 0.30555303 0.26970464 0.17156698 0.15426088 0.02332168library(dplyr)##
## Attaching package: 'dplyr'## The following object is masked from 'package:randomForest':
##
## combine## The following objects are masked from 'package:pastecs':
##
## first, last## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, uniontest %>% group_by(default) %>%
summarise(no_rows = length(default))## # A tibble: 2 x 2
## default no_rows
## <dbl> <int>
## 1 1 1963
## 2 2 37What type of variable is signed.up?
head(test$signed.up)## [1] 0 0 1 0 1 0model3hit.1 <- mean(prediction.model!=as.numeric(test$signed.up))
model3hit.1## [1] 1We got it right 16 percent of the time, not great.Now let’s make a roc curve, just to confirm our model, using a different package:
library(ROCR)## Loading required package: gplots##
## Attaching package: 'gplots'## The following object is masked from 'package:stats':
##
## lowessIn order to use the package we first have to set the prediction
newpred <- prediction(prediction.model,test$signed.up)Next we want to measure true possitives which is “tpr” and False Positives “fpr”
newpred.performance <- performance(newpred, measure = "tpr",x.measure = "fpr")then we plot these two measures
plot(newpred.performance)
#Looking pretty good, we can also get the AUC again using the performance function
AUC <- performance(newpred, measure = "auc")
AUC## An object of class "performance"
## Slot "x.name":
## [1] "None"
##
## Slot "y.name":
## [1] "Area under the ROC curve"
##
## Slot "alpha.name":
## [1] "none"
##
## Slot "x.values":
## list()
##
## Slot "y.values":
## [[1]]
## [1] 0.8282553
##
##
## Slot "alpha.values":
## list()