MBA Starting Salaries

This is the summary statistic

mba.df<-read.csv(paste("MBA Starting Salaries Data.csv", sep=""))
summary(mba.df)

##       age             sex           gmat_tot        gmat_qpc    
##  Min.   :22.00   Min.   :1.000   Min.   :450.0   Min.   :28.00  
##  1st Qu.:25.00   1st Qu.:1.000   1st Qu.:580.0   1st Qu.:72.00  
##  Median :27.00   Median :1.000   Median :620.0   Median :83.00  
##  Mean   :27.36   Mean   :1.248   Mean   :619.5   Mean   :80.64  
##  3rd Qu.:29.00   3rd Qu.:1.000   3rd Qu.:660.0   3rd Qu.:93.00  
##  Max.   :48.00   Max.   :2.000   Max.   :790.0   Max.   :99.00  
##     gmat_vpc        gmat_tpc        s_avg           f_avg      
##  Min.   :16.00   Min.   : 0.0   Min.   :2.000   Min.   :0.000  
##  1st Qu.:71.00   1st Qu.:78.0   1st Qu.:2.708   1st Qu.:2.750  
##  Median :81.00   Median :87.0   Median :3.000   Median :3.000  
##  Mean   :78.32   Mean   :84.2   Mean   :3.025   Mean   :3.062  
##  3rd Qu.:91.00   3rd Qu.:94.0   3rd Qu.:3.300   3rd Qu.:3.250  
##  Max.   :99.00   Max.   :99.0   Max.   :4.000   Max.   :4.000  
##     quarter         work_yrs         frstlang         salary      
##  Min.   :1.000   Min.   : 0.000   Min.   :1.000   Min.   :     0  
##  1st Qu.:1.250   1st Qu.: 2.000   1st Qu.:1.000   1st Qu.:     0  
##  Median :2.000   Median : 3.000   Median :1.000   Median :   999  
##  Mean   :2.478   Mean   : 3.872   Mean   :1.117   Mean   : 39026  
##  3rd Qu.:3.000   3rd Qu.: 4.000   3rd Qu.:1.000   3rd Qu.: 97000  
##  Max.   :4.000   Max.   :22.000   Max.   :2.000   Max.   :220000  
##      satis      
##  Min.   :  1.0  
##  1st Qu.:  5.0  
##  Median :  6.0  
##  Mean   :172.2  
##  3rd Qu.:  7.0  
##  Max.   :998.0

Including Plots

This is how salaries vary with sex.

library(car)
scatterplotMatrix(~age+salary+gmat_qpc, data=mba.df)

library(corrgram)

## Warning: package 'corrgram' was built under R version 3.4.3

corrgram(mba.df, upper.panel=panel.pie)

covmat=matrix(c(cov(mba.df)))
covmat

##                 [,1]
##   [1,]  1.376904e+01
##   [2,] -4.513248e-02
##   [3,] -3.115879e+01
##   [4,] -1.192655e+01
##   [5,] -2.763643e+00
##   [6,] -8.839978e+00
##   [7,]  2.116874e-01
##   [8,] -3.399348e-02
##   [9,] -2.045935e-01
##  [10,]  1.029494e+01
##  [11,]  6.796610e-02
##  [12,] -1.183042e+04
##  [13,] -1.763499e+02
##  [14,] -4.513248e-02
##  [15,]  1.872677e-01
##  [16,] -1.328841e+00
##  [17,] -1.053769e+00
##  [18,]  5.463758e-01
##  [19,] -4.908960e-02
##  [20,]  2.096227e-02
##  [21,]  2.082698e-02
##  [22,] -6.414267e-02
##  [23,] -1.580172e-02
##  [24,]  2.138980e-04
##  [25,]  1.518264e+03
##  [26,] -8.780808e+00
##  [27,] -3.115879e+01
##  [28,] -1.328841e+00
##  [29,]  3.310688e+03
##  [30,]  6.200233e+02
##  [31,]  7.260006e+02
##  [32,]  6.839911e+02
##  [33,]  2.480257e+00
##  [34,]  3.154688e+00
##  [35,] -5.891153e+00
##  [36,] -3.391634e+01
##  [37,] -2.499933e+00
##  [38,] -1.611600e+05
##  [39,]  1.765263e+03
##  [40,] -1.192655e+01
##  [41,] -1.053769e+00
##  [42,]  6.200233e+02
##  [43,]  2.210731e+02
##  [44,]  3.814826e+01
##  [45,]  1.357997e+02
##  [46,] -1.691233e-01
##  [47,]  5.753854e-01
##  [48,]  6.001979e-01
##  [49,] -1.137186e+01
##  [50,]  6.646346e-01
##  [51,] -3.335823e+04
##  [52,]  3.348371e+02
##  [53,] -2.763643e+00
##  [54,]  5.463758e-01
##  [55,]  7.260006e+02
##  [56,]  3.814826e+01
##  [57,]  2.842481e+02
##  [58,]  1.574932e+02
##  [59,]  1.313570e+00
##  [60,]  6.720700e-01
##  [61,] -3.267667e+00
##  [62,] -3.618165e+00
##  [63,] -2.114569e+00
##  [64,] -5.273852e+03
##  [65,]  3.923563e+02
##  [66,] -8.839978e+00
##  [67,] -4.908960e-02
##  [68,]  6.839911e+02
##  [69,]  1.357997e+02
##  [70,]  1.574932e+02
##  [71,]  1.966057e+02
##  [72,]  6.271001e-01
##  [73,]  5.869862e-01
##  [74,] -1.292372e+00
##  [75,] -7.857517e+00
##  [76,] -4.663244e-01
##  [77,]  3.522750e+03
##  [78,]  4.842467e+02
##  [79,]  2.116874e-01
##  [80,]  2.096227e-02
##  [81,]  2.480257e+00
##  [82,] -1.691233e-01
##  [83,]  1.313570e+00
##  [84,]  6.271001e-01
##  [85,]  1.452176e-01
##  [86,]  1.101690e-01
##  [87,] -3.223721e-01
##  [88,]  1.592639e-01
##  [89,] -1.671372e-02
##  [90,]  2.831601e+03
##  [91,] -4.628845e+00
##  [92,] -3.399348e-02
##  [93,]  2.082698e-02
##  [94,]  3.154688e+00
##  [95,]  5.753854e-01
##  [96,]  6.720700e-01
##  [97,]  5.869862e-01
##  [98,]  1.101690e-01
##  [99,]  2.756724e-01
## [100,] -2.608088e-01
## [101,] -6.628700e-02
## [102,] -6.260260e-03
## [103,]  7.876560e+02
## [104,]  2.125329e+00
## [105,] -2.045935e-01
## [106,] -6.414267e-02
## [107,] -5.891153e+00
## [108,]  6.001979e-01
## [109,] -3.267667e+00
## [110,] -1.292372e+00
## [111,] -3.223721e-01
## [112,] -2.608088e-01
## [113,]  1.232119e+00
## [114,] -3.086682e-01
## [115,]  3.553381e-02
## [116,] -9.296214e+03
## [117,] -5.227133e-03
## [118,]  1.029494e+01
## [119,] -1.580172e-02
## [120,] -3.391634e+01
## [121,] -1.137186e+01
## [122,] -3.618165e+00
## [123,] -7.857517e+00
## [124,]  1.592639e-01
## [125,] -6.628700e-02
## [126,] -3.086682e-01
## [127,]  1.044882e+01
## [128,] -2.898318e-02
## [129,]  1.486147e+03
## [130,] -1.312408e+02
## [131,]  6.796610e-02
## [132,]  2.138980e-04
## [133,] -2.499933e+00
## [134,]  6.646346e-01
## [135,] -2.114569e+00
## [136,] -4.663244e-01
## [137,] -1.671372e-02
## [138,] -6.260260e-03
## [139,]  3.553381e-02
## [140,] -2.898318e-02
## [141,]  1.035266e-01
## [142,] -1.419586e+03
## [143,]  9.484532e+00
## [144,] -1.183042e+04
## [145,]  1.518264e+03
## [146,] -1.611600e+05
## [147,] -3.335823e+04
## [148,] -5.273852e+03
## [149,]  3.522750e+03
## [150,]  2.831601e+03
## [151,]  7.876560e+02
## [152,] -9.296214e+03
## [153,]  1.486147e+03
## [154,] -1.419586e+03
## [155,]  2.596062e+09
## [156,] -6.347115e+06
## [157,] -1.763499e+02
## [158,] -8.780808e+00
## [159,]  1.765263e+03
## [160,]  3.348371e+02
## [161,]  3.923563e+02
## [162,]  4.842467e+02
## [163,] -4.628845e+00
## [164,]  2.125329e+00
## [165,] -5.227133e-03
## [166,] -1.312408e+02
## [167,]  9.484532e+00
## [168,] -6.347115e+06
## [169,]  1.380974e+05

newdata<-subset(mba.df, salary!=0&salary!=998&salary!=999)
summary(newdata)

##       age             sex           gmat_tot      gmat_qpc    
##  Min.   :22.00   Min.   :1.000   Min.   :500   Min.   :39.00  
##  1st Qu.:25.00   1st Qu.:1.000   1st Qu.:580   1st Qu.:72.00  
##  Median :26.00   Median :1.000   Median :620   Median :82.00  
##  Mean   :26.78   Mean   :1.301   Mean   :616   Mean   :79.73  
##  3rd Qu.:28.00   3rd Qu.:2.000   3rd Qu.:655   3rd Qu.:89.00  
##  Max.   :40.00   Max.   :2.000   Max.   :720   Max.   :99.00  
##     gmat_vpc        gmat_tpc         s_avg           f_avg      
##  Min.   :30.00   Min.   :51.00   Min.   :2.200   Min.   :0.000  
##  1st Qu.:71.00   1st Qu.:78.00   1st Qu.:2.850   1st Qu.:2.915  
##  Median :81.00   Median :87.00   Median :3.100   Median :3.250  
##  Mean   :78.56   Mean   :84.52   Mean   :3.092   Mean   :3.091  
##  3rd Qu.:92.00   3rd Qu.:93.50   3rd Qu.:3.400   3rd Qu.:3.415  
##  Max.   :99.00   Max.   :99.00   Max.   :4.000   Max.   :4.000  
##     quarter         work_yrs        frstlang         salary      
##  Min.   :1.000   Min.   : 0.00   Min.   :1.000   Min.   : 64000  
##  1st Qu.:1.000   1st Qu.: 2.00   1st Qu.:1.000   1st Qu.: 95000  
##  Median :2.000   Median : 3.00   Median :1.000   Median :100000  
##  Mean   :2.262   Mean   : 3.68   Mean   :1.068   Mean   :103031  
##  3rd Qu.:3.000   3rd Qu.: 4.00   3rd Qu.:1.000   3rd Qu.:106000  
##  Max.   :4.000   Max.   :16.00   Max.   :2.000   Max.   :220000  
##      satis      
##  Min.   :3.000  
##  1st Qu.:5.000  
##  Median :6.000  
##  Mean   :5.883  
##  3rd Qu.:6.000  
##  Max.   :7.000

mytable<-xtabs(~salary+sex, data=newdata)
prop.table(mytable,1)

##         sex
## salary           1         2
##   64000  0.0000000 1.0000000
##   77000  1.0000000 0.0000000
##   78256  0.0000000 1.0000000
##   82000  0.0000000 1.0000000
##   85000  0.2500000 0.7500000
##   86000  0.0000000 1.0000000
##   88000  0.0000000 1.0000000
##   88500  1.0000000 0.0000000
##   90000  1.0000000 0.0000000
##   92000  0.6666667 0.3333333
##   93000  0.6666667 0.3333333
##   95000  0.5714286 0.4285714
##   96000  0.7500000 0.2500000
##   96500  1.0000000 0.0000000
##   97000  1.0000000 0.0000000
##   98000  0.6000000 0.4000000
##   99000  0.0000000 1.0000000
##   100000 0.4444444 0.5555556
##   100400 1.0000000 0.0000000
##   101000 0.0000000 1.0000000
##   101100 1.0000000 0.0000000
##   101600 1.0000000 0.0000000
##   102500 1.0000000 0.0000000
##   103000 1.0000000 0.0000000
##   104000 1.0000000 0.0000000
##   105000 1.0000000 0.0000000
##   106000 0.6666667 0.3333333
##   107000 1.0000000 0.0000000
##   107300 1.0000000 0.0000000
##   107500 1.0000000 0.0000000
##   108000 1.0000000 0.0000000
##   110000 0.0000000 1.0000000
##   112000 1.0000000 0.0000000
##   115000 1.0000000 0.0000000
##   118000 1.0000000 0.0000000
##   120000 0.7500000 0.2500000
##   126710 1.0000000 0.0000000
##   130000 1.0000000 0.0000000
##   145800 1.0000000 0.0000000
##   146000 1.0000000 0.0000000
##   162000 1.0000000 0.0000000
##   220000 0.0000000 1.0000000

chisq.test(mytable)

## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable
## X-squared = 52.681, df = 41, p-value = 0.1045

The p-value, being significantly <0.01, indicates a strong correlation between GMAT total percentile and salary.

mytable2<-xtabs(~salary+gmat_tpc, data=newdata)
prop.table(mytable2,1)

##         gmat_tpc
## salary           51         52         58         61         62         65
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.33333333
##   95000  0.00000000 0.00000000 0.00000000 0.14285714 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96500  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##   105000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.20000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         gmat_tpc
## salary           68         69         71         72         75         78
##   64000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.00000000 0.28571429 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##   98000  0.00000000 0.00000000 0.00000000 0.10000000 0.30000000 0.10000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.11111111 0.11111111 0.00000000 0.11111111
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000
##   105000 0.09090909 0.09090909 0.00000000 0.00000000 0.18181818 0.27272727
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.20000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         gmat_tpc
## salary           79         80         81         83         84         85
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.25000000 0.25000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.00000000 0.10000000 0.00000000 0.00000000 0.00000000
##   99000  1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.00000000 0.00000000 0.11111111 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   105000 0.00000000 0.00000000 0.00000000 0.09090909 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.25000000 0.25000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         gmat_tpc
## salary           86         87         88         89         90         91
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000
##   92000  0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.66666667 0.00000000 0.00000000 0.00000000 0.00000000
##   95000  0.28571429 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##   98000  0.10000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.11111111 0.00000000 0.00000000 0.11111111 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   105000 0.00000000 0.00000000 0.00000000 0.09090909 0.00000000 0.00000000
##   106000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.20000000 0.00000000 0.20000000 0.00000000 0.00000000
##   118000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         gmat_tpc
## salary           93         94         95         96         97         98
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.25000000 0.00000000 0.00000000 0.00000000 0.25000000
##   86000  0.00000000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000
##   88000  1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.33333333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.33333333
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.28571429 0.00000000 0.00000000 0.00000000
##   96000  0.25000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.00000000 0.00000000 0.10000000 0.10000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.22222222 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   105000 0.09090909 0.00000000 0.00000000 0.09090909 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000 0.66666667 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.33333333 0.00000000 0.33333333 0.00000000
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.20000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.25000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         gmat_tpc
## salary           99
##   64000  0.00000000
##   77000  0.00000000
##   78256  0.00000000
##   82000  0.00000000
##   85000  0.25000000
##   86000  0.00000000
##   88000  0.00000000
##   88500  0.00000000
##   90000  0.00000000
##   92000  0.00000000
##   93000  0.00000000
##   95000  0.00000000
##   96000  0.00000000
##   96500  0.00000000
##   97000  0.00000000
##   98000  0.10000000
##   99000  0.00000000
##   100000 0.11111111
##   100400 0.00000000
##   101000 0.00000000
##   101100 0.00000000
##   101600 0.00000000
##   102500 0.00000000
##   103000 0.00000000
##   104000 0.00000000
##   105000 0.00000000
##   106000 0.00000000
##   107000 0.00000000
##   107300 0.00000000
##   107500 0.00000000
##   108000 0.00000000
##   110000 0.00000000
##   112000 0.00000000
##   115000 0.00000000
##   118000 0.00000000
##   120000 0.00000000
##   126710 0.00000000
##   130000 0.00000000
##   145800 0.00000000
##   146000 0.00000000
##   162000 0.00000000
##   220000 0.00000000

chisq.test(mytable2)

## Warning in chisq.test(mytable2): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable2
## X-squared = 1422.2, df = 1230, p-value = 0.0001065

The p-value, being very less than 0.01, indicates a very strong correlation between age and salary.

mytable3<-xtabs(~salary+age, data=newdata)
prop.table(mytable3,1)

##         age
## salary           22         23         24         25         26         27
##   64000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   85000  0.25000000 0.00000000 0.00000000 0.25000000 0.25000000 0.25000000
##   86000  0.00000000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.66666667 0.00000000 0.33333333
##   92000  0.00000000 0.00000000 0.00000000 0.66666667 0.00000000 0.33333333
##   93000  0.00000000 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.14285714 0.71428571 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.25000000 0.25000000 0.50000000 0.00000000
##   96500  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##   98000  0.00000000 0.10000000 0.30000000 0.20000000 0.10000000 0.10000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.11111111 0.44444444 0.11111111 0.11111111 0.11111111
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   105000 0.00000000 0.09090909 0.09090909 0.18181818 0.27272727 0.09090909
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.20000000 0.20000000 0.00000000 0.60000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.25000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   145800 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         age
## salary           28         29         30         31         32         33
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.33333333 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000
##   95000  0.00000000 0.14285714 0.00000000 0.00000000 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.50000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.10000000 0.10000000 0.00000000 0.00000000 0.00000000 0.00000000
##   99000  1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.00000000 0.11111111 0.00000000 0.00000000
##   100400 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.50000000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000
##   105000 0.00000000 0.00000000 0.09090909 0.09090909 0.00000000 0.00000000
##   106000 0.00000000 0.33333333 0.66666667 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   120000 0.25000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         age
## salary           34         39         40
##   64000  0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.00000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000
##   105000 0.09090909 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.33333333 0.00000000
##   115000 0.00000000 0.00000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 1.00000000
##   162000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 1.00000000

chisq.test(mytable3)

## Warning in chisq.test(mytable3): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable3
## X-squared = 717.62, df = 574, p-value = 3.929e-05

Work experience has a significant correlation with salary, with p-value<0.01.

mytable4<-xtabs(~salary+work_yrs, data=newdata)
prop.table(mytable4,1)

##         work_yrs
## salary            0          1          2          3          4          5
##   64000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.25000000 0.50000000 0.25000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.50000000 0.50000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.66666667 0.00000000 0.00000000 0.33333333
##   92000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.33333333 0.33333333
##   95000  0.14285714 0.14285714 0.28571429 0.28571429 0.00000000 0.14285714
##   96000  0.00000000 0.25000000 0.50000000 0.00000000 0.25000000 0.00000000
##   96500  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   98000  0.00000000 0.00000000 0.70000000 0.10000000 0.10000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   100000 0.00000000 0.00000000 0.66666667 0.11111111 0.11111111 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   105000 0.00000000 0.00000000 0.36363636 0.36363636 0.00000000 0.09090909
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.40000000 0.00000000 0.20000000 0.40000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.25000000 0.00000000 0.50000000
##   126710 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   145800 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         work_yrs
## salary            6          7          8         10         15         16
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.10000000 0.00000000 0.00000000 0.00000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.11111111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   105000 0.09090909 0.00000000 0.00000000 0.00000000 0.00000000 0.09090909
##   106000 0.66666667 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000 0.33333333
##   115000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000

chisq.test(mytable4)

## Warning in chisq.test(mytable4): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable4
## X-squared = 535.23, df = 451, p-value = 0.003809

The p-value being much greater than 0.01, indicates that there might be very little correlation between satisfaction and salary. Expectedly, none of those who got a job, gave a 1 or 2.

mytable5<-xtabs(~salary+satis, data=newdata)
prop.table(mytable5,1)

##         satis
## salary            3          4          5          6          7
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   77000  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   78256  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   85000  0.00000000 0.00000000 0.25000000 0.75000000 0.00000000
##   86000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   88500  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.66666667 0.00000000 0.33333333
##   92000  0.00000000 0.00000000 0.33333333 0.33333333 0.33333333
##   93000  0.00000000 0.00000000 0.33333333 0.66666667 0.00000000
##   95000  0.14285714 0.14285714 0.14285714 0.28571429 0.28571429
##   96000  0.00000000 0.00000000 0.25000000 0.25000000 0.50000000
##   96500  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.50000000 0.50000000
##   98000  0.00000000 0.00000000 0.20000000 0.50000000 0.30000000
##   99000  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.11111111 0.66666667 0.22222222
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   101000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   102500 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   105000 0.00000000 0.00000000 0.36363636 0.54545455 0.09090909
##   106000 0.00000000 0.00000000 0.00000000 0.66666667 0.33333333
##   107000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   107500 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   110000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.66666667 0.33333333
##   115000 0.00000000 0.00000000 0.60000000 0.40000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   120000 0.00000000 0.00000000 0.50000000 0.50000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   145800 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   162000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000

chisq.test(mytable5)

## Warning in chisq.test(mytable5): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable5
## X-squared = 109.1, df = 164, p-value = 0.9997

Salary has low correlation to fall average.

mytable10<-xtabs(~salary+f_avg, data=newdata)
prop.table(mytable10,1)

##         f_avg
## salary            0          2       2.25        2.5       2.67       2.75
##   64000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   82000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.25000000 0.00000000 0.00000000 0.00000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   90000  0.00000000 0.00000000 0.33333333 0.33333333 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.33333333
##   95000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714
##   96000  0.00000000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   97000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##   98000  0.00000000 0.00000000 0.00000000 0.10000000 0.00000000 0.20000000
##   99000  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.11111111
##   100400 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   103000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##   105000 0.00000000 0.09090909 0.00000000 0.00000000 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.33333333
##   115000 0.00000000 0.00000000 0.00000000 0.20000000 0.00000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##   130000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##         f_avg
## salary         2.83          3       3.25       3.33        3.5        3.6
##   64000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   77000  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.25000000
##   86000  0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.33333333 0.00000000 0.66666667 0.00000000
##   93000  0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##   95000  0.00000000 0.14285714 0.28571429 0.00000000 0.28571429 0.00000000
##   96000  0.00000000 0.00000000 0.50000000 0.00000000 0.25000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.20000000 0.50000000 0.00000000 0.00000000 0.00000000
##   99000  0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   100000 0.00000000 0.55555556 0.11111111 0.00000000 0.11111111 0.00000000
##   100400 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.50000000 0.00000000 0.00000000 0.50000000 0.00000000
##   101100 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##   105000 0.09090909 0.27272727 0.18181818 0.00000000 0.36363636 0.00000000
##   106000 0.00000000 0.66666667 0.00000000 0.00000000 0.00000000 0.33333333
##   107000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   107500 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.50000000 0.50000000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   112000 0.00000000 0.33333333 0.00000000 0.00000000 0.33333333 0.00000000
##   115000 0.00000000 0.20000000 0.20000000 0.00000000 0.20000000 0.00000000
##   118000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##   120000 0.00000000 0.25000000 0.50000000 0.00000000 0.00000000 0.00000000
##   126710 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         f_avg
## salary         3.67       3.75          4
##   64000  0.00000000 0.00000000 0.00000000
##   77000  0.00000000 0.00000000 0.00000000
##   78256  0.00000000 0.00000000 0.00000000
##   82000  0.00000000 0.00000000 0.00000000
##   85000  0.00000000 0.25000000 0.00000000
##   86000  0.00000000 0.00000000 0.00000000
##   88000  0.00000000 0.00000000 0.00000000
##   88500  0.00000000 0.00000000 0.00000000
##   90000  0.00000000 0.00000000 0.00000000
##   92000  0.00000000 0.00000000 0.00000000
##   93000  0.00000000 0.33333333 0.00000000
##   95000  0.14285714 0.00000000 0.00000000
##   96000  0.00000000 0.00000000 0.00000000
##   96500  0.00000000 0.00000000 0.00000000
##   97000  0.00000000 0.00000000 0.00000000
##   98000  0.00000000 0.00000000 0.00000000
##   99000  0.00000000 0.00000000 0.00000000
##   100000 0.11111111 0.00000000 0.00000000
##   100400 0.00000000 0.00000000 0.00000000
##   101000 0.00000000 0.00000000 0.00000000
##   101100 0.00000000 0.00000000 0.00000000
##   101600 0.00000000 0.00000000 0.00000000
##   102500 0.00000000 0.00000000 0.00000000
##   103000 0.00000000 0.00000000 0.00000000
##   104000 0.00000000 0.00000000 0.00000000
##   105000 0.00000000 0.00000000 0.00000000
##   106000 0.00000000 0.00000000 0.00000000
##   107000 0.00000000 0.00000000 0.00000000
##   107300 0.00000000 0.00000000 0.00000000
##   107500 0.00000000 0.00000000 0.00000000
##   108000 0.00000000 0.00000000 0.00000000
##   110000 0.00000000 0.00000000 0.00000000
##   112000 0.00000000 0.00000000 0.00000000
##   115000 0.00000000 0.00000000 0.20000000
##   118000 0.00000000 0.00000000 0.00000000
##   120000 0.00000000 0.00000000 0.25000000
##   126710 0.00000000 0.00000000 0.00000000
##   130000 0.00000000 0.00000000 0.00000000
##   145800 0.00000000 0.00000000 0.00000000
##   146000 0.00000000 0.00000000 0.00000000
##   162000 0.00000000 1.00000000 0.00000000
##   220000 0.00000000 0.00000000 0.00000000

chisq.test(mytable10)

## Warning in chisq.test(mytable10): Chi-squared approximation may be
## incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable10
## X-squared = 596.28, df = 574, p-value = 0.2518

Salary is related to GMAT score strongly.

mytable11<-xtabs(~gmat_tpc+salary, data=newdata)
prop.table(mytable11,1)

##         salary
## gmat_tpc     64000     77000     78256     82000     85000     86000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       93 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       95 0.0000000 0.1250000 0.0000000 0.1250000 0.0000000 0.0000000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.2000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.3333333 0.0000000
##         salary
## gmat_tpc     88000     88500     90000     92000     93000     95000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3333333
##       75 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       87 0.0000000 0.1111111 0.0000000 0.1111111 0.2222222 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       93 0.1428571 0.0000000 0.1428571 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.1250000 0.0000000 0.2500000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.2000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##         salary
## gmat_tpc     96000     96500     97000     98000     99000    100000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       72 0.1666667 0.0000000 0.0000000 0.1666667 0.0000000 0.1666667
##       75 0.0000000 0.0000000 0.0000000 0.4285714 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.1666667 0.1666667 0.0000000 0.1666667
##       79 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.5000000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000
##       83 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000 0.2500000
##       87 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       93 0.1428571 0.0000000 0.0000000 0.0000000 0.0000000 0.2857143
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       96 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.3333333 0.0000000 0.3333333
##         salary
## gmat_tpc    100400    101000    101100    101600    102500    103000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.1111111 0.0000000 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       89 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000
##       93 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.1250000 0.0000000 0.0000000 0.0000000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##         salary
## gmat_tpc    104000    105000    106000    107000    107300    107500
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.0000000 0.2857143 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.1666667 0.0000000 0.1666667 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.1111111 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.2500000
##       93 0.0000000 0.1428571 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       96 0.0000000 0.1666667 0.3333333 0.0000000 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##         salary
## gmat_tpc    108000    110000    112000    115000    118000    120000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.1428571 0.0000000 0.0000000 0.1428571 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.1666667 0.0000000 0.1666667 0.0000000 0.0000000 0.1666667
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.0000000 0.1111111 0.1111111 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.2500000 0.0000000 0.0000000 0.0000000 0.0000000
##       93 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.1250000 0.0000000 0.0000000 0.1250000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.2000000 0.0000000 0.2000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##         salary
## gmat_tpc    126710    130000    145800    146000    162000    220000
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.1111111 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000
##       93 0.0000000 0.1428571 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.2000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000

chisq.test(mytable11)

## Warning in chisq.test(mytable11): Chi-squared approximation may be
## incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable11
## X-squared = 1422.2, df = 1230, p-value = 0.0001065

mytable6<-xtabs(~gmat_tpc+s_avg, data=newdata)
prop.table(mytable6,1)

##         s_avg
## gmat_tpc       2.2       2.3       2.4       2.5       2.6       2.7
##       51 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.0000000 0.1428571 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000 0.2500000
##       87 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.2222222
##       88 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.1666667 0.0000000 0.1666667 0.1666667
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000
##       93 0.0000000 0.0000000 0.1428571 0.0000000 0.1428571 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.1250000 0.0000000 0.0000000
##       96 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##         s_avg
## gmat_tpc       2.8       2.9      2.91         3      3.09       3.1
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 1.0000000 0.0000000 0.0000000
##       58 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.3333333 0.0000000 0.0000000 0.1666667 0.0000000
##       75 0.0000000 0.1428571 0.0000000 0.1428571 0.0000000 0.0000000
##       78 0.3333333 0.0000000 0.1666667 0.1666667 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
##       80 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       85 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.0000000 0.1111111 0.0000000 0.3333333
##       88 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.1666667 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000
##       90 0.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       93 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.1250000 0.0000000 0.0000000 0.0000000 0.0000000 0.2500000
##       96 0.1666667 0.3333333 0.0000000 0.0000000 0.0000000 0.0000000
##       97 0.5000000 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.6666667 0.0000000 0.0000000 0.0000000 0.0000000
##         s_avg
## gmat_tpc       3.2      3.27       3.3       3.4      3.45       3.5
##       51 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       61 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.5000000 0.0000000 0.5000000
##       72 0.3333333 0.0000000 0.1666667 0.0000000 0.0000000 0.0000000
##       75 0.1428571 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.5000000 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000
##       83 0.0000000 0.0000000 0.1666667 0.0000000 0.0000000 0.3333333
##       84 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.2500000 0.2500000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.0000000 0.1111111 0.0000000 0.2222222
##       88 0.5000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000 0.0000000
##       93 0.1428571 0.0000000 0.2857143 0.2857143 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.5000000
##       95 0.1250000 0.0000000 0.2500000 0.1250000 0.0000000 0.0000000
##       96 0.1666667 0.0000000 0.0000000 0.0000000 0.0000000 0.1666667
##       97 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.0000000 0.0000000 0.4000000 0.0000000 0.0000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.3333333
##         s_avg
## gmat_tpc       3.6       3.7       3.8         4
##       51 0.0000000 0.0000000 0.0000000 0.0000000
##       52 0.0000000 0.0000000 0.0000000 0.0000000
##       58 0.0000000 0.0000000 0.0000000 0.0000000
##       61 1.0000000 0.0000000 0.0000000 0.0000000
##       62 0.0000000 0.0000000 0.0000000 0.0000000
##       65 0.0000000 0.0000000 0.0000000 0.0000000
##       68 0.0000000 0.0000000 0.0000000 0.0000000
##       69 0.0000000 0.0000000 0.0000000 0.0000000
##       71 0.0000000 0.0000000 0.0000000 0.0000000
##       72 0.0000000 0.0000000 0.0000000 0.0000000
##       75 0.1428571 0.1428571 0.1428571 0.0000000
##       78 0.0000000 0.0000000 0.0000000 0.0000000
##       79 0.0000000 0.0000000 0.0000000 0.0000000
##       80 0.0000000 0.0000000 0.0000000 0.0000000
##       81 0.0000000 0.0000000 0.0000000 0.0000000
##       83 0.1666667 0.0000000 0.0000000 0.0000000
##       84 0.0000000 0.0000000 0.0000000 0.0000000
##       85 0.0000000 0.0000000 0.0000000 0.0000000
##       86 0.0000000 0.0000000 0.0000000 0.0000000
##       87 0.0000000 0.0000000 0.0000000 0.0000000
##       88 0.0000000 0.0000000 0.0000000 0.0000000
##       89 0.0000000 0.0000000 0.0000000 0.0000000
##       90 0.0000000 0.0000000 0.0000000 0.0000000
##       91 0.2500000 0.0000000 0.0000000 0.2500000
##       93 0.0000000 0.0000000 0.0000000 0.0000000
##       94 0.0000000 0.0000000 0.0000000 0.0000000
##       95 0.0000000 0.0000000 0.0000000 0.0000000
##       96 0.0000000 0.1666667 0.0000000 0.0000000
##       97 0.0000000 0.0000000 0.0000000 0.0000000
##       98 0.4000000 0.0000000 0.2000000 0.0000000
##       99 0.0000000 0.0000000 0.0000000 0.0000000

chisq.test(mytable6)

## Warning in chisq.test(mytable6): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable6
## X-squared = 551.41, df = 630, p-value = 0.9891

The verbal GMAT also has no significant correlation to spring average.

mytable7<-xtabs(~gmat_vpc+s_avg, data=newdata)
prop.table(mytable7,1)

##         s_avg
## gmat_vpc        2.2        2.3        2.4        2.5        2.6        2.7
##       30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.33333333 0.33333333 0.33333333 0.00000000
##       50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.20000000 0.00000000
##       62 0.00000000 0.25000000 0.00000000 0.25000000 0.00000000 0.00000000
##       63 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       67 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16666667
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.11111111 0.00000000
##       74 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.28571429
##       75 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##       81 0.09090909 0.00000000 0.09090909 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.00000000 0.00000000 0.20000000 0.00000000
##       87 0.00000000 0.00000000 0.14285714 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.25000000
##       95 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714 0.00000000
##       96 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.00000000 0.00000000 0.14285714 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         s_avg
## gmat_vpc        2.8        2.9       2.91          3       3.09        3.1
##       30 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##       33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.20000000 0.00000000 0.20000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.25000000
##       63 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       67 0.16666667 0.33333333 0.00000000 0.00000000 0.33333333 0.00000000
##       71 0.22222222 0.11111111 0.00000000 0.11111111 0.00000000 0.00000000
##       74 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.42857143
##       75 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.09090909 0.00000000 0.09090909 0.00000000 0.00000000
##       84 0.00000000 0.20000000 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.28571429 0.14285714 0.00000000 0.14285714 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       90 0.50000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.25000000
##       95 0.00000000 0.14285714 0.00000000 0.00000000 0.00000000 0.14285714
##       96 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.28571429 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         s_avg
## gmat_vpc        3.2       3.27        3.3        3.4       3.45        3.5
##       30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       50 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000 0.50000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.40000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       63 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       67 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.11111111 0.00000000 0.11111111 0.11111111 0.00000000
##       74 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714
##       75 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##       81 0.18181818 0.00000000 0.09090909 0.09090909 0.00000000 0.09090909
##       84 0.00000000 0.00000000 0.40000000 0.00000000 0.00000000 0.20000000
##       87 0.14285714 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.25000000 0.00000000 0.25000000 0.00000000 0.00000000 0.25000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.33333333 0.33333333 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##       93 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.00000000
##       95 0.14285714 0.00000000 0.14285714 0.00000000 0.00000000 0.00000000
##       96 0.20000000 0.00000000 0.40000000 0.00000000 0.00000000 0.40000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.00000000 0.14285714 0.14285714 0.00000000 0.14285714
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         s_avg
## gmat_vpc        3.6        3.7        3.8          4
##       30 0.00000000 0.00000000 0.00000000 0.00000000
##       33 0.00000000 1.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000
##       50 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.25000000 0.00000000 0.00000000 0.00000000
##       63 0.00000000 0.00000000 0.00000000 0.00000000
##       67 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.11111111 0.00000000 0.00000000 0.00000000
##       74 0.00000000 0.00000000 0.14285714 0.00000000
##       75 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.18181818 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.14285714 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.25000000 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.14285714 0.14285714
##       96 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.14285714 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000

chisq.test(mytable7)

## Warning in chisq.test(mytable7): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable7
## X-squared = 570.31, df = 546, p-value = 0.2281

As expected, there is a strong correlation between first language and GMAT scores.

mytable8<-xtabs(~gmat_tpc+frstlang, data=newdata)
prop.table(mytable8,1)

##         frstlang
## gmat_tpc         1         2
##       51 0.0000000 1.0000000
##       52 1.0000000 0.0000000
##       58 1.0000000 0.0000000
##       61 1.0000000 0.0000000
##       62 0.0000000 1.0000000
##       65 1.0000000 0.0000000
##       68 1.0000000 0.0000000
##       69 1.0000000 0.0000000
##       71 1.0000000 0.0000000
##       72 1.0000000 0.0000000
##       75 0.8571429 0.1428571
##       78 1.0000000 0.0000000
##       79 0.0000000 1.0000000
##       80 1.0000000 0.0000000
##       81 1.0000000 0.0000000
##       83 1.0000000 0.0000000
##       84 1.0000000 0.0000000
##       85 1.0000000 0.0000000
##       86 1.0000000 0.0000000
##       87 0.8888889 0.1111111
##       88 1.0000000 0.0000000
##       89 1.0000000 0.0000000
##       90 1.0000000 0.0000000
##       91 1.0000000 0.0000000
##       93 1.0000000 0.0000000
##       94 0.5000000 0.5000000
##       95 1.0000000 0.0000000
##       96 1.0000000 0.0000000
##       97 0.5000000 0.5000000
##       98 1.0000000 0.0000000
##       99 1.0000000 0.0000000

chisq.test(mytable8)

## Warning in chisq.test(mytable8): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable8
## X-squared = 59.648, df = 30, p-value = 0.001015

t.test(newdata$s_avg, newdata$salary, paired = TRUE)

## 
##  Paired t-test
## 
## data:  newdata$s_avg and newdata$salary
## t = -58.516, df = 102, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -106519.91  -99535.38
## sample estimates:
## mean of the differences 
##               -103027.6

plot(newdata$gmat_tot, newdata$salary)

fit<-lm(salary~gmat_tot+age+work_yrs+sex+gmat_tpc+s_avg+f_avg+frstlang+quarter, data = newdata)
summary(fit)

## 
## Call:
## lm(formula = salary ~ gmat_tot + age + work_yrs + sex + gmat_tpc + 
##     s_avg + f_avg + frstlang + quarter, data = newdata)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -26204  -8327  -2242   7012  74420 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)  
## (Intercept)  43845.6    43756.2   1.002   0.3189  
## gmat_tot       195.6      125.5   1.559   0.1223  
## age           1475.4     1114.2   1.324   0.1887  
## work_yrs       833.5     1136.8   0.733   0.4652  
## sex          -5068.5     3501.9  -1.447   0.1512  
## gmat_tpc      -993.7      576.0  -1.725   0.0878 .
## s_avg        -3265.6     8047.3  -0.406   0.6858  
## f_avg        -2210.4     3895.0  -0.567   0.5717  
## frstlang      9486.0     7112.2   1.334   0.1855  
## quarter      -2877.1     2614.1  -1.101   0.2739  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 15550 on 93 degrees of freedom
## Multiple R-squared:  0.3094, Adjusted R-squared:  0.2426 
## F-statistic:  4.63 on 9 and 93 DF,  p-value: 4.525e-05

fit<-lm(salary~gmat_tpc+quarter+sex+frstlang+gmat_tot, data = newdata)
summary(fit)

## 
## Call:
## lm(formula = salary ~ gmat_tpc + quarter + sex + frstlang + gmat_tot, 
##     data = newdata)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -30677  -9247  -2282   5532  97400 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)   
## (Intercept)  71872.0    34304.0   2.095  0.03876 * 
## gmat_tpc      -989.1      600.2  -1.648  0.10260   
## quarter      -2694.4     1499.5  -1.797  0.07547 . 
## sex          -8087.3     3633.2  -2.226  0.02833 * 
## frstlang     18964.3     6742.5   2.813  0.00595 **
## gmat_tot       180.4      129.7   1.391  0.16748   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 16770 on 97 degrees of freedom
## Multiple R-squared:  0.1621, Adjusted R-squared:  0.1189 
## F-statistic: 3.753 on 5 and 97 DF,  p-value: 0.003779

This seems to be the best with R-square of 0.3051. Salary is predicted less for females and predicted to decrease with increase in GMAT percentile and quartile ranking.

fit<-lm(salary~gmat_tot+age+work_yrs+sex+gmat_tpc+frstlang+quarter, data = newdata)
summary(fit)

## 
## Call:
## lm(formula = salary ~ gmat_tot + age + work_yrs + sex + gmat_tpc + 
##     frstlang + quarter, data = newdata)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -28686  -8456  -2144   7029  74752 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)
## (Intercept)  30187.1    38077.4   0.793    0.430
## gmat_tot       168.9      119.5   1.413    0.161
## age           1511.4     1095.9   1.379    0.171
## work_yrs       864.3     1126.0   0.768    0.445
## sex          -5486.5     3429.4  -1.600    0.113
## gmat_tpc      -881.7      552.9  -1.595    0.114
## frstlang      9643.1     6947.1   1.388    0.168
## quarter      -1536.4     1405.1  -1.093    0.277
## 
## Residual standard error: 15430 on 95 degrees of freedom
## Multiple R-squared:  0.3051, Adjusted R-squared:  0.2539 
## F-statistic: 5.958 on 7 and 95 DF,  p-value: 9.197e-06

fit<-lm(salary~gmat_tot+age+sex+gmat_tpc+s_avg+f_avg+frstlang+quarter, data = newdata)
summary(fit)

## 
## Call:
## lm(formula = salary ~ gmat_tot + age + sex + gmat_tpc + s_avg + 
##     f_avg + frstlang + quarter, data = newdata)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -25859  -8177  -2241   6800  75241 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  31216.4    40124.8   0.778 0.438533    
## gmat_tot       192.3      125.1   1.538 0.127506    
## age           2180.8      560.7   3.889 0.000188 ***
## sex          -4782.8     3471.6  -1.378 0.171568    
## gmat_tpc      -993.7      574.6  -1.730 0.086992 .  
## s_avg        -3109.4     8024.7  -0.387 0.699281    
## f_avg        -2387.3     3878.0  -0.616 0.539634    
## frstlang      8124.3     6848.5   1.186 0.238500    
## quarter      -2875.6     2607.6  -1.103 0.272940    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 15510 on 94 degrees of freedom
## Multiple R-squared:  0.3054, Adjusted R-squared:  0.2463 
## F-statistic: 5.167 on 8 and 94 DF,  p-value: 2.346e-05

newdata<-subset(mba.df, salary!=998&salary!=999)
aggregate(mba.df$gmat_tpc, by=list(salary=mba.df$salary), mean)

##    salary        x
## 1       0 82.28889
## 2     998 87.08696
## 3     999 84.34286
## 4   64000 71.00000
## 5   77000 95.00000
## 6   78256 58.00000
## 7   82000 95.00000
## 8   85000 95.00000
## 9   86000 93.00000
## 10  88000 93.00000
## 11  88500 87.00000
## 12  90000 87.33333
## 13  92000 93.33333
## 14  93000 79.66667
## 15  95000 81.00000
## 16  96000 82.25000
## 17  96500 52.00000
## 18  97000 83.00000
## 19  98000 83.40000
## 20  99000 79.00000
## 21 100000 85.00000
## 22 100400 89.00000
## 23 101000 86.00000
## 24 101100 95.00000
## 25 101600 91.00000
## 26 102500 96.00000
## 27 103000 88.00000
## 28 104000 67.00000
## 29 105000 80.18182
## 30 106000 93.00000
## 31 107000 83.00000
## 32 107300 94.00000
## 33 107500 91.00000
## 34 108000 79.00000
## 35 110000 91.00000
## 36 112000 91.66667
## 37 115000 82.80000
## 38 118000 87.00000
## 39 120000 90.00000
## 40 126710 69.00000
## 41 130000 93.00000
## 42 145800 87.00000
## 43 146000 91.00000
## 44 162000 98.00000
## 45 220000 51.00000

Salary is related to GMAT score

mytable<-xtabs(~gmat_tpc+salary, data=mba.df)
prop.table(mytable,1)

##         salary
## gmat_tpc          0        998        999      64000      77000      78256
##       0  0.50000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##       34 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##       54 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.75000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.60000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.50000000 0.00000000 0.16666667 0.00000000 0.00000000 0.00000000
##       71 0.33333333 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000
##       72 0.33333333 0.20000000 0.06666667 0.00000000 0.00000000 0.00000000
##       73 0.75000000 0.00000000 0.25000000 0.00000000 0.00000000 0.00000000
##       75 0.35714286 0.00000000 0.14285714 0.00000000 0.00000000 0.00000000
##       76 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##       78 0.36363636 0.09090909 0.00000000 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##       81 0.33333333 0.22222222 0.22222222 0.00000000 0.00000000 0.00000000
##       83 0.23076923 0.23076923 0.07692308 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.40000000 0.20000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.43750000 0.25000000 0.06250000 0.00000000 0.00000000 0.00000000
##       87 0.29411765 0.00000000 0.17647059 0.00000000 0.00000000 0.00000000
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.22222222 0.27777778 0.16666667 0.00000000 0.00000000 0.00000000
##       90 0.25000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.36363636 0.18181818 0.09090909 0.00000000 0.00000000 0.00000000
##       92 0.66666667 0.16666667 0.16666667 0.00000000 0.00000000 0.00000000
##       93 0.26666667 0.13333333 0.13333333 0.00000000 0.00000000 0.00000000
##       94 0.25000000 0.25000000 0.25000000 0.00000000 0.00000000 0.00000000
##       95 0.26666667 0.20000000 0.00000000 0.00000000 0.06666667 0.00000000
##       96 0.20000000 0.26666667 0.13333333 0.00000000 0.00000000 0.00000000
##       97 0.14285714 0.28571429 0.28571429 0.00000000 0.00000000 0.00000000
##       98 0.25000000 0.16666667 0.16666667 0.00000000 0.00000000 0.00000000
##       99 0.50000000 0.16666667 0.16666667 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc      82000      85000      86000      88000      88500      90000
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##       81 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.00000000 0.00000000 0.00000000 0.05882353 0.00000000
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.05555556 0.00000000 0.00000000 0.00000000 0.05555556
##       90 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.06666667 0.00000000 0.06666667
##       94 0.00000000 0.12500000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.06666667 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       96 0.00000000 0.00000000 0.06666667 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.08333333 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.05555556 0.00000000 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc      92000      93000      95000      96000      96500      97000
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.00000000 0.20000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.13333333 0.06666667 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09090909
##       79 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.00000000 0.00000000 0.11111111 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.00000000 0.07692308 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.12500000 0.00000000 0.00000000 0.00000000
##       87 0.05882353 0.11764706 0.00000000 0.00000000 0.00000000 0.00000000
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.50000000
##       89 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.06666667 0.00000000 0.00000000
##       94 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.06666667 0.00000000 0.13333333 0.00000000 0.00000000 0.00000000
##       96 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.08333333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc      98000      99000     100000     100400     101000     101100
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.33333333 0.00000000 0.00000000 0.00000000
##       72 0.06666667 0.00000000 0.06666667 0.00000000 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.21428571 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.09090909 0.00000000 0.09090909 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.11111111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.20000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##       86 0.06250000 0.00000000 0.06250000 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.00000000 0.00000000 0.00000000 0.05882353 0.00000000
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.05555556 0.05555556 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.13333333 0.00000000 0.00000000 0.00000000
##       94 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.06666667
##       96 0.06666667 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.14285714 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.05555556 0.00000000 0.05555556 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc     101600     102500     103000     104000     105000     106000
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.25000000 0.00000000 0.00000000
##       65 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.00000000 0.16666667 0.00000000
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.00000000 0.06666667 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.27272727 0.00000000
##       79 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.00000000 0.00000000 0.07692308 0.00000000
##       84 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.05882353
##       88 0.00000000 0.00000000 0.50000000 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.00000000 0.00000000 0.05555556 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.09090909 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.00000000 0.06666667 0.00000000
##       94 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       96 0.00000000 0.06666667 0.00000000 0.00000000 0.06666667 0.13333333
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc     107000     107300     107500     108000     110000     112000
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.00000000 0.00000000 0.00000000 0.07142857 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       83 0.07692308 0.00000000 0.00000000 0.07692308 0.00000000 0.07692308
##       84 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.09090909 0.00000000 0.09090909 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       94 0.00000000 0.12500000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.06666667
##       96 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714
##       98 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc     115000     118000     120000     126710     130000     145800
##       0  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       65 0.20000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000 0.16666667 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       75 0.07142857 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.07692308 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.20000000 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       87 0.05882353 0.05882353 0.00000000 0.00000000 0.00000000 0.05882353
##       88 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       89 0.05555556 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       91 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000 0.00000000 0.06666667 0.00000000
##       94 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.06666667 0.00000000 0.00000000 0.00000000
##       96 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##       98 0.08333333 0.00000000 0.08333333 0.00000000 0.00000000 0.00000000
##       99 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
##         salary
## gmat_tpc     146000     162000     220000
##       0  0.00000000 0.00000000 0.00000000
##       34 0.00000000 0.00000000 0.00000000
##       37 0.00000000 0.00000000 0.00000000
##       44 0.00000000 0.00000000 0.00000000
##       45 0.00000000 0.00000000 0.00000000
##       51 0.00000000 0.00000000 1.00000000
##       52 0.00000000 0.00000000 0.00000000
##       54 0.00000000 0.00000000 0.00000000
##       55 0.00000000 0.00000000 0.00000000
##       58 0.00000000 0.00000000 0.00000000
##       61 0.00000000 0.00000000 0.00000000
##       62 0.00000000 0.00000000 0.00000000
##       65 0.00000000 0.00000000 0.00000000
##       68 0.00000000 0.00000000 0.00000000
##       69 0.00000000 0.00000000 0.00000000
##       71 0.00000000 0.00000000 0.00000000
##       72 0.00000000 0.00000000 0.00000000
##       73 0.00000000 0.00000000 0.00000000
##       75 0.00000000 0.00000000 0.00000000
##       76 0.00000000 0.00000000 0.00000000
##       77 0.00000000 0.00000000 0.00000000
##       78 0.00000000 0.00000000 0.00000000
##       79 0.00000000 0.00000000 0.00000000
##       80 0.00000000 0.00000000 0.00000000
##       81 0.00000000 0.00000000 0.00000000
##       83 0.00000000 0.00000000 0.00000000
##       84 0.00000000 0.00000000 0.00000000
##       85 0.00000000 0.00000000 0.00000000
##       86 0.00000000 0.00000000 0.00000000
##       87 0.00000000 0.00000000 0.00000000
##       88 0.00000000 0.00000000 0.00000000
##       89 0.00000000 0.00000000 0.00000000
##       90 0.00000000 0.00000000 0.00000000
##       91 0.09090909 0.00000000 0.00000000
##       92 0.00000000 0.00000000 0.00000000
##       93 0.00000000 0.00000000 0.00000000
##       94 0.00000000 0.00000000 0.00000000
##       95 0.00000000 0.00000000 0.00000000
##       96 0.00000000 0.00000000 0.00000000
##       97 0.00000000 0.00000000 0.00000000
##       98 0.00000000 0.08333333 0.00000000
##       99 0.00000000 0.00000000 0.00000000

chisq.test(mytable)

## Warning in chisq.test(mytable): Chi-squared approximation may be incorrect

## 
##  Pearson's Chi-squared test
## 
## data:  mytable
## X-squared = 2233.2, df = 1804, p-value = 1.4e-11

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.