R Markdown

This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com.

When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within the document. You can embed an R code chunk like this:

setwd("E:/R-work")
getwd()
## [1] "E:/R-work"

Including Plots

You can also embed plots, for example:

Data <- read.csv("E:/R-work/hs0.csv", header=T, sep=",")
Data
##     gender  id race ses schtyp  prgtype read write math science socst
## 1        0  70    4   1      1  general   57    52   41      47    57
## 2        1 121    4   2      1   vocati   68    59   53      63    61
## 3        0  86    4   3      1  general   44    33   54      58    31
## 4        0 141    4   3      1   vocati   63    44   47      53    56
## 5        0 172    4   2      1 academic   47    52   57      53    61
## 6        0 113    4   2      1 academic   44    52   51      63    61
## 7        0  50    3   2      1  general   50    59   42      53    61
## 8        0  11    1   2      1 academic   34    46   45      39    36
## 9        0  84    4   2      1  general   63    57   54      NA    51
## 10       0  48    3   2      1 academic   57    55   52      50    51
## 11       0  75    4   2      1   vocati   60    46   51      53    61
## 12       0  60    5   2      1 academic   57    65   51      63    61
## 13       0  95    4   3      1 academic   73    60   71      61    71
## 14       0 104    4   3      1 academic   54    63   57      55    46
## 15       0  38    3   1      1 academic   45    57   50      31    56
## 16       0 115    4   1      1  general   42    49   43      50    56
## 17       0  76    4   3      1 academic   47    52   51      50    56
## 18       0 195    4   2      2  general   57    57   60      NA    56
## 19       0 114    4   3      1 academic   68    65   62      55    61
## 20       0  85    4   2      1  general   55    39   57      53    46
## 21       0 167    4   2      1  general   63    49   35      66    41
## 22       0 143    4   2      1   vocati   63    63   75      72    66
## 23       0  41    3   2      1 academic   50    40   45      55    56
## 24       0  20    1   3      1 academic   60    52   57      61    61
## 25       0  12    1   2      1   vocati   37    44   45      39    46
## 26       0  53    3   2      1   vocati   34    37   46      39    31
## 27       0 154    4   3      1 academic   65    65   66      61    66
## 28       0 178    4   2      2   vocati   47    57   57      58    46
## 29       0 196    4   3      2 academic   44    38   49      39    46
## 30       0  29    2   1      1  general   52    44   49      55    41
## 31       0 126    4   2      1  general   42    31   57      47    51
## 32       0 103    4   3      1 academic   76    52   64      64    61
## 33       0 192    4   3      2 academic   65    67   63      66    71
## 34       0 150    4   2      1   vocati   42    41   57      72    31
## 35       0 199    4   3      2 academic   52    59   50      61    61
## 36       0 144    4   3      1  general   60    65   58      61    66
## 37       0 200    4   2      2 academic   68    54   75      NA    66
## 38       0  80    4   3      1 academic   65    62   68      66    66
## 39       0  16    1   1      1   vocati   47    31   44      36    36
## 40       0 153    4   2      1   vocati   39    31   40      39    51
## 41       0 176    4   2      2 academic   47    47   41      42    51
## 42       0 177    4   2      2 academic   55    59   62      58    51
## 43       0 168    4   2      1 academic   52    54   57      55    51
## 44       0  40    3   1      1  general   42    41   43      50    41
## 45       0  62    4   3      1  general   65    65   48      63    66
## 46       0 169    4   1      1  general   55    59   63      69    46
## 47       0  49    3   3      1   vocati   50    40   39      49    47
## 48       0 136    4   2      1 academic   65    59   70      63    51
## 49       0 189    4   2      2 academic   47    59   63      53    46
## 50       0   7    1   2      1 academic   57    54   59      47    51
## 51       0  27    2   2      1 academic   53    61   61      57    56
## 52       0 128    4   3      1 academic   39    33   38      47    41
## 53       0  21    1   2      1  general   44    44   61      50    46
## 54       0 183    4   2      2 academic   63    59   49      55    71
## 55       0 132    4   2      1 academic   73    62   73      NA    66
## 56       0  15    1   3      1   vocati   39    39   44      26    42
## 57       0  67    4   1      1   vocati   37    37   42      33    32
## 58       0  22    1   2      1   vocati   42    39   39      56    46
## 59       0 185    4   2      2 academic   63    57   55      58    41
## 60       0   9    1   2      1   vocati   48    49   52      44    51
## 61       0 181    4   2      2 academic   50    46   45      58    61
## 62       0 170    4   3      1 academic   47    62   61      69    66
## 63       0 134    4   1      1  general   44    44   39      34    46
## 64       0 108    4   2      1  general   34    33   41      36    36
## 65       0 197    4   3      2 academic   50    42   50      36    61
## 66       0 140    4   2      1   vocati   44    41   40      50    26
## 67       0 171    4   2      1 academic   60    54   60      55    66
## 68       0 107    4   1      1   vocati   47    39   47      42    26
## 69       0  81    4   1      1 academic   63    43   59      65    44
## 70       0  18    1   2      1   vocati   50    33   49      44    36
## 71       0 155    4   2      1  general   44    44   46      39    51
## 72       0  97    4   3      1 academic   60    54   58      58    61
## 73       0  68    4   2      1 academic   73    67   71      63    66
## 74       0 157    5   2      1  general   68    59   58      74    66
## 75       0  56    4   2      1   vocati   55    45   46      58    51
## 76       0   5    1   1      1 academic   47    40   43      NA    31
## 77       0 159    4   3      1 academic   55    61   54      49    61
## 78       0 123    4   3      1  general   68    59   56      63    66
## 79       0 164    4   2      1   vocati   31    36   46      39    46
## 80       0  14    1   3      1 academic   47    41   54      42    56
## 81       0 127    4   3      1 academic   63    59   57      55    56
## 82       0 165    4   1      1   vocati   36    49   54      61    36
## 83       0 174    4   2      2 academic   68    59   71      66    56
## 84       0   3    1   1      1 academic   63    65   48      63    56
## 85       0  58    4   2      1   vocati   55    41   40      44    41
## 86       0 146    4   3      1 academic   55    62   64      63    66
## 87       0 102    4   3      1 academic   52    41   51      53    56
## 88       0 117    4   3      1   vocati   34    49   39      42    56
## 89       0 133    4   2      1   vocati   50    31   40      34    31
## 90       0  94    4   3      1 academic   55    49   61      61    56
## 91       0  24    2   2      1 academic   52    62   66      47    46
## 92       0 149    4   1      1  general   63    49   49      66    46
## 93       1  82    4   3      1 academic   68    62   65      69    61
## 94       1   8    1   1      1 academic   39    44   52      44    48
## 95       1 129    4   1      1  general   44    44   46      47    51
## 96       1 173    4   1      1  general   50    62   61      63    51
## 97       1  57    4   2      1 academic   71    65   72      66    56
## 98       1 100    4   3      1 academic   63    65   71      69    71
## 99       1   1    1   1      1   vocati   34    44   40      39    41
## 100      1 194    4   3      2 academic   63    63   69      61    61
## 101      1  88    4   3      1 academic   68    60   64      69    66
## 102      1  99    4   3      1  general   47    59   56      66    61
## 103      1  47    3   1      1 academic   47    46   49      33    41
## 104      1 120    4   3      1 academic   63    52   54      50    51
## 105      1 166    4   2      1 academic   52    59   53      61    51
## 106      1  65    4   2      1 academic   55    54   66      42    56
## 107      1 101    4   3      1 academic   60    62   67      50    56
## 108      1  89    4   1      1   vocati   35    35   40      51    33
## 109      1  54    3   1      2  general   47    54   46      50    56
## 110      1 180    4   3      2 academic   71    65   69      58    71
## 111      1 162    4   2      1   vocati   57    52   40      61    56
## 112      1   4    1   1      1 academic   44    50   41      39    51
## 113      1 131    4   3      1 academic   65    59   57      46    66
## 114      1 125    4   1      1 academic   68    65   58      59    56
## 115      1  34    1   3      2 academic   73    61   57      55    66
## 116      1 106    4   2      1   vocati   36    44   37      42    41
## 117      1 130    4   3      1  general   43    54   55      55    46
## 118      1  93    4   3      1 academic   73    67   62      58    66
## 119      1 163    4   1      1 academic   52    57   64      58    56
## 120      1  37    3   1      1   vocati   41    47   40      39    51
## 121      1  35    1   1      2  general   60    54   50      50    51
## 122      1  87    4   2      1  general   50    52   46      50    56
## 123      1  73    4   2      1 academic   50    52   53      39    56
## 124      1 151    4   2      1   vocati   47    46   52      48    46
## 125      1  44    3   1      1   vocati   47    62   45      34    46
## 126      1 152    4   3      1 academic   55    57   56      58    61
## 127      1 105    4   2      1 academic   50    41   45      44    56
## 128      1  28    2   2      1  general   39    53   54      50    41
## 129      1  91    4   3      1   vocati   50    49   56      47    46
## 130      1  45    3   1      1   vocati   34    35   41      29    26
## 131      1 116    4   2      1 academic   57    59   54      50    56
## 132      1  33    2   1      1 academic   57    65   72      54    56
## 133      1  66    4   2      1   vocati   68    62   56      50    51
## 134      1  72    4   2      1   vocati   42    54   47      47    46
## 135      1  77    4   1      1 academic   61    59   49      44    66
## 136      1  61    4   3      1 academic   76    63   60      67    66
## 137      1 190    4   2      2 academic   47    59   54      58    46
## 138      1  42    3   2      1   vocati   46    52   55      44    56
## 139      1   2    1   2      1   vocati   39    41   33      42    41
## 140      1  55    3   2      2 academic   52    49   49      44    61
## 141      1  19    1   1      1  general   28    46   43      44    51
## 142      1  90    4   3      1 academic   42    54   50      50    52
## 143      1 142    4   2      1   vocati   47    42   52      39    51
## 144      1  17    1   2      1 academic   47    57   48      44    41
## 145      1 122    4   2      1 academic   52    59   58      53    66
## 146      1 191    4   3      2 academic   47    52   43      48    61
## 147      1  83    4   2      1   vocati   50    62   41      55    31
## 148      1 182    4   2      2 academic   44    52   43      44    51
## 149      1   6    1   1      1 academic   47    41   46      40    41
## 150      1  46    3   1      1 academic   45    55   44      34    41
## 151      1  43    3   1      1 academic   47    37   43      42    46
## 152      1  96    4   3      1 academic   65    54   61      58    56
## 153      1 138    4   2      1   vocati   43    57   40      50    51
## 154      1  10    1   2      1  general   47    54   49      53    61
## 155      1  71    4   2      1  general   57    62   56      58    66
## 156      1 139    4   2      1 academic   68    59   61      55    71
## 157      1 110    4   2      1   vocati   52    55   50      54    61
## 158      1 148    4   2      1   vocati   42    57   51      47    61
## 159      1 109    4   2      1  general   42    39   42      42    41
## 160      1  39    3   3      1 academic   66    67   67      61    66
## 161      1 147    4   1      1 academic   47    62   53      53    61
## 162      1  74    4   2      1 academic   57    50   50      51    58
## 163      1 198    4   3      2 academic   47    61   51      63    31
## 164      1 161    4   1      1 academic   57    62   72      61    61
## 165      1 112    4   2      1 academic   52    59   48      55    61
## 166      1  69    4   1      1   vocati   44    44   40      40    31
## 167      1 156    4   2      1 academic   50    59   53      61    61
## 168      1 111    4   1      1  general   39    54   39      47    36
## 169      1 186    4   2      2 academic   57    62   63      55    41
## 170      1  98    4   1      1   vocati   57    60   51      53    37
## 171      1 119    4   1      1  general   42    57   45      50    43
## 172      1  13    1   2      1   vocati   47    46   39      47    61
## 173      1  51    3   3      1  general   42    36   42      31    39
## 174      1  26    2   3      1 academic   60    59   62      61    51
## 175      1  36    3   1      1  general   44    49   44      35    51
## 176      1 135    4   1      1 academic   63    60   65      54    66
## 177      1  59    4   2      1 academic   65    67   63      55    71
## 178      1  78    4   2      1 academic   39    54   54      53    41
## 179      1  64    4   3      1   vocati   50    52   45      58    36
## 180      1  63    4   1      1  general   52    65   60      56    51
## 181      1  79    4   2      1 academic   60    62   49      50    51
## 182      1 193    4   2      2 academic   44    49   48      39    51
## 183      1  92    4   3      1  general   52    67   57      63    61
## 184      1 160    4   2      1 academic   55    65   55      50    61
## 185      1  32    2   3      1   vocati   50    67   66      66    56
## 186      1  23    2   1      1 academic   65    65   64      58    71
## 187      1 158    4   2      1  general   52    54   55      53    51
## 188      1  25    2   2      1  general   47    44   42      42    36
## 189      1 188    4   3      2 academic   63    62   56      55    61
## 190      1  52    3   1      1 academic   50    46   53      53    66
## 191      1 124    4   1      1   vocati   42    54   41      42    41
## 192      1 175    4   3      2  general   36    57   42      50    41
## 193      1 184    4   2      2   vocati   50    52   53      55    56
## 194      1  30    2   3      1 academic   41    59   42      34    51
## 195      1 179    4   2      2 academic   47    65   60      50    56
## 196      1  31    2   2      2  general   55    59   52      42    56
## 197      1 145    4   2      1   vocati   42    46   38      36    46
## 198      1 187    4   2      2  general   57    41   57      55    52
## 199      1 118    4   2      1  general   55    62   58      58    61
## 200      1 137    4   3      1 academic   63    65   65      53    61
summary(Data)
##      gender            id              race           ses       
##  Min.   :0.000   Min.   :  1.00   Min.   :1.00   Min.   :1.000  
##  1st Qu.:0.000   1st Qu.: 50.75   1st Qu.:3.00   1st Qu.:2.000  
##  Median :1.000   Median :100.50   Median :4.00   Median :2.000  
##  Mean   :0.545   Mean   :100.50   Mean   :3.44   Mean   :2.055  
##  3rd Qu.:1.000   3rd Qu.:150.25   3rd Qu.:4.00   3rd Qu.:3.000  
##  Max.   :1.000   Max.   :200.00   Max.   :5.00   Max.   :3.000  
##                                                                 
##      schtyp         prgtype         read           write      
##  Min.   :1.00   academic:105   Min.   :28.00   Min.   :31.00  
##  1st Qu.:1.00   general : 45   1st Qu.:44.00   1st Qu.:45.75  
##  Median :1.00   vocati  : 50   Median :50.00   Median :54.00  
##  Mean   :1.16                  Mean   :52.23   Mean   :52.77  
##  3rd Qu.:1.00                  3rd Qu.:60.00   3rd Qu.:60.00  
##  Max.   :2.00                  Max.   :76.00   Max.   :67.00  
##                                                               
##       math          science          socst      
##  Min.   :33.00   Min.   :26.00   Min.   :26.00  
##  1st Qu.:45.00   1st Qu.:44.00   1st Qu.:46.00  
##  Median :52.00   Median :53.00   Median :52.00  
##  Mean   :52.65   Mean   :51.66   Mean   :52.41  
##  3rd Qu.:59.00   3rd Qu.:58.00   3rd Qu.:61.00  
##  Max.   :75.00   Max.   :74.00   Max.   :71.00  
##                  NA's   :5