##       X minority age gender credits     beauty eval division native tenure
## 1     1      yes  36 female    more  0.2899157  4.3    upper    yes    yes
## 2     2       no  59   male    more -0.7377322  4.5    upper    yes    yes
## 3     3       no  51   male    more -0.5719836  3.7    upper    yes    yes
## 4     4       no  40 female    more -0.6779634  4.3    upper    yes    yes
## 5     5       no  31 female    more  1.5097940  4.4    upper    yes    yes
## 6     6       no  62   male    more  0.5885687  4.2    upper    yes    yes
## 7     7       no  33 female    more -0.1260010  4.0    upper    yes    yes
## 8     8       no  51 female    more -0.2581899  3.4    upper    yes    yes
## 9     9       no  33 female    more  0.1496926  4.5    upper    yes    yes
## 10   10       no  47   male    more  0.5409170  3.9    upper    yes     no
## 11   11      yes  35   male    more  0.2316134  3.1    upper     no    yes
## 12   12       no  37   male    more -0.0666737  4.0    upper    yes     no
## 13   13       no  42   male    more  0.2168924  3.8    upper    yes    yes
## 14   14       no  49   male    more -0.2586962  3.4    upper     no    yes
## 15   15       no  37 female    more  0.5502878  2.9    upper    yes    yes
## 16   16       no  45   male    more -0.0620358  4.5    upper    yes    yes
## 17   17       no  56 female    more -0.9823852  4.0    upper    yes     no
## 18   18       no  48   male    more -0.0543440  3.8    lower    yes     no
## 19   19       no  46 female    more -0.0680143  4.3    upper    yes    yes
## 20   20       no  57 female    more  0.0294137  3.4    upper    yes     no
## 21   21       no  52 female    more  0.2394859  3.4    upper    yes     no
## 22   22      yes  29 female    more -0.8487269  3.3    upper     no    yes
## 23   23       no  62   male    more -0.7330914  4.3    upper    yes    yes
## 24   24       no  64   male    more -0.1111221  4.4    upper    yes    yes
## 25   25       no  34 female    more  1.7755170  4.6    upper    yes    yes
## 26   26       no  58   male    more -0.3218485  4.2    upper    yes    yes
## 27   27      yes  52   male    more  0.2116939  4.0    upper     no    yes
## 28   28       no  73   male    more -0.7176450  3.3    upper    yes    yes
## 29   29       no  70   male    more -0.7326927  4.4    upper    yes    yes
## 30   30       no  41 female    more  0.4081676  2.3    upper    yes    yes
## 31   31       no  63   male    more -0.0102077  3.5    upper    yes     no
## 32   32       no  47   male    more -0.9239570  4.7    upper    yes    yes
## 33   33       no  39   male    more  0.5766805  3.9    lower    yes    yes
## 34   34      yes  47 female    more -0.0836015  4.0    lower    yes    yes
## 35   35       no  54   male    more -1.0795580  4.3    upper    yes    yes
## 36   36      yes  44 female    more  1.0409020  3.8    upper    yes    yes
## 37   37      yes  47   male    more -1.0521080  3.8    upper    yes    yes
## 38   38       no  62   male    more -0.7277681  4.0    upper    yes    yes
## 39   39       no  60   male    more -0.3953965  4.6    upper    yes    yes
## 40   40       no  37   male    more  0.9333959  3.5    upper    yes    yes
## 41   41       no  42   male    more -0.2377786  4.7    upper    yes    yes
## 42   42       no  35   male    more  0.2749080  4.2    upper    yes    yes
## 43   43       no  39 female    more  1.9700230  3.4    lower    yes     no
## 44   44       no  49   male    more  1.0509500  3.9    upper    yes    yes
## 45   45       no  61   male    more  0.2418185  4.5    lower    yes    yes
## 46   46       no  33   male    more  1.3493950  4.7    upper    yes    yes
## 47   47       no  58 female    more  0.1115635  3.5    upper    yes    yes
## 48   48       no  56 female    more -0.2577254  3.7    upper    yes    yes
## 49   49       no  50 female    more -0.6562689  4.0    lower    yes     no
## 50   50       no  52   male    more -0.6563948  4.1    upper    yes    yes
## 51   51       no  33 female    more  0.7244775  4.4    upper    yes    yes
## 52   52       no  57   male    more  0.6318343  4.2    upper    yes    yes
## 53   53       no  38 female    more  1.0709440  4.5    upper    yes    yes
## 54   54       no  34 female    more -1.4504940  3.8    lower    yes    yes
## 55   55       no  34   male    more  1.1558800  3.1    upper    yes    yes
## 56   56       no  32   male    more -0.3260148  3.7    lower    yes    yes
## 57   57       no  42 female    more  0.8846435  3.9    lower    yes    yes
## 58   58       no  43 female    more -0.5583452  4.0    lower    yes    yes
## 59   59       no  35   male    more -0.3415543  3.3    upper     no    yes
## 60   60       no  62 female    more -0.5040575  3.1    upper    yes    yes
## 61   61       no  42   male    more -0.9005804  4.0    upper    yes    yes
## 62   62       no  39   male    more  0.6430142  4.3    upper    yes    yes
## 63   63       no  52 female    more  0.7735240  3.7    upper    yes    yes
## 64   64       no  52 female    more  1.0639380  3.4    upper    yes    yes
## 65   65       no  52 female    more -1.0903890  4.3    upper    yes     no
## 66   66       no  64   male    more -1.0691620  3.7    upper    yes    yes
## 67   67       no  50   male    more  1.4156950  4.2    upper    yes    yes
## 68   68       no  60   male    more -1.4229190  2.2    upper    yes    yes
## 69   69       no  51 female    more  0.3918222  3.0    upper    yes    yes
## 70   70       no  43   male    more -0.4899626  4.3    lower    yes    yes
## 71   71      yes  50   male  single -0.5835869  4.6    lower    yes     no
## 72   72       no  52   male    more  0.7566829  3.5    upper    yes    yes
## 73   73       no  51   male    more  0.8808186  4.6    lower    yes    yes
## 74   74       no  38   male    more -0.5665014  3.7    lower    yes    yes
## 75   75       no  47 female    more  0.3394037  3.8    lower    yes    yes
## 76   76      yes  43 female    more -0.1513687  3.6    lower    yes    yes
## 77   77       no  38 female    more -1.0249970  4.4    lower    yes     no
## 78   78       no  43   male    more -0.0252444  4.1    lower    yes    yes
## 79   79       no  57   male    more -0.7467875  4.3    upper    yes    yes
## 80   80       no  51 female    more  0.9889485  4.0    upper    yes    yes
## 81   81       no  45   male  single -0.5324199  4.8    lower    yes     no
## 82   82       no  57   male    more -0.7668921  3.5    lower    yes    yes
## 83   83       no  47 female    more  1.1542560  3.6    lower    yes     no
## 84   84      yes  54 female    more  1.2326020  3.8    lower    yes    yes
## 85   85       no  58   male    more  1.7743340  4.7    lower    yes     no
## 86   86       no  42   male    more  1.7731510  4.9    lower    yes    yes
## 87   87       no  33   male    more  0.7245926  4.3    lower    yes    yes
## 88   88       no  62   male    more -1.1816260  3.3    lower    yes    yes
## 89   89      yes  35 female    more  1.7694520  3.4    lower    yes    yes
## 90   90       no  61   male    more -0.5872612  3.6    lower    yes    yes
## 91   91       no  52 female    more -0.0018324  4.0    lower    yes    yes
## 92   92       no  60 female    more -0.0566766  3.9    upper     no    yes
## 93   93       no  32   male    more  1.2313940  4.3    lower    yes    yes
## 94   94      yes  42 female    more  0.4203998  3.3    upper     no    yes
## 95   95      yes  36 female    more  0.2899157  3.7    upper    yes    yes
## 96   96      yes  36 female    more  0.2899157  3.6    upper    yes    yes
## 97   97      yes  36 female    more  0.2899157  4.4    upper    yes    yes
## 98   98       no  59   male    more -0.7377322  4.0    upper    yes    yes
## 99   99       no  59   male    more -0.7377322  2.1    upper    yes    yes
## 100 100       no  51   male    more -0.5719836  3.2    upper    yes    yes
## 101 101       no  40 female    more -0.6779634  3.5    upper    yes    yes
## 102 102       no  40 female    more -0.6779634  4.1    upper    yes    yes
## 103 103       no  40 female    more -0.6779634  4.6    upper    yes    yes
## 104 104       no  40 female    more -0.6779634  3.8    upper    yes    yes
## 105 105       no  40 female    more -0.6779634  3.8    upper    yes    yes
## 106 106       no  40 female    more -0.6779634  3.8    upper    yes    yes
## 107 107       no  40 female    more -0.6779634  4.2    upper    yes    yes
## 108 108       no  31 female    more  1.5097940  3.9    upper    yes    yes
## 109 109       no  31 female    more  1.5097940  4.5    upper    yes    yes
## 110 110       no  31 female    more  1.5097940  4.5    upper    yes    yes
## 111 111       no  31 female    more  1.5097940  4.4    upper    yes    yes
## 112 112       no  31 female    more  1.5097940  4.4    upper    yes    yes
## 113 113       no  62   male    more  0.5885687  4.4    upper    yes    yes
## 114 114       no  62   male    more  0.5885687  4.5    upper    yes    yes
## 115 115       no  62   male    more  0.5885687  4.3    upper    yes    yes
## 116 116       no  62   male    more  0.5885687  4.6    upper    yes    yes
## 117 117       no  62   male    more  0.5885687  4.8    upper    yes    yes
## 118 118       no  62   male    more  0.5885687  4.3    upper    yes    yes
## 119 119       no  33 female    more -0.1260010  4.0    upper    yes    yes
## 120 120       no  33 female    more -0.1260010  4.0    upper    yes    yes
## 121 121       no  33 female    more -0.1260010  3.9    upper    yes    yes
## 122 122       no  33 female    more -0.1260010  3.3    upper    yes    yes
## 123 123       no  51 female    more -0.2581899  4.5    upper    yes    yes
## 124 124       no  51 female    more -0.2581899  4.5    upper    yes    yes
## 125 125       no  51 female    more -0.2581899  4.5    upper    yes    yes
## 126 126       no  51 female    more -0.2581899  2.5    lower    yes    yes
## 127 127       no  51 female    more -0.2581899  4.3    upper    yes    yes
## 128 128       no  51 female    more -0.2581899  4.5    upper    yes    yes
## 129 129       no  33 female    more  0.1496926  4.7    upper    yes    yes
## 130 130       no  33 female    more  0.1496926  3.5    upper    yes    yes
## 131 131       no  33 female    more  0.1496926  4.5    upper    yes    yes
## 132 132       no  33 female    more  0.1496926  3.8    upper    yes    yes
## 133 133       no  33 female    more  0.1496926  4.5    upper    yes    yes
## 134 134       no  33 female    more  0.1496926  4.3    upper    yes    yes
## 135 135       no  47   male    more  0.5409170  3.9    upper    yes     no
## 136 136       no  47   male    more  0.5409170  4.3    upper    yes     no
## 137 137       no  47   male    more  0.5409170  4.2    upper    yes     no
## 138 138       no  47   male    more  0.5409170  5.0    lower    yes     no
## 139 139       no  47   male    more  0.5409170  5.0    lower    yes     no
## 140 140       no  47   male    more  0.5409170  4.6    upper    yes     no
## 141 141       no  47   male    more  0.5409170  5.0    lower    yes     no
## 142 142       no  47   male    more  0.5409170  4.7    upper    yes     no
## 143 143       no  47   male    more  0.5409170  5.0    lower    yes     no
## 144 144      yes  35   male    more  0.2316134  2.7    upper     no    yes
## 145 145      yes  35   male    more  0.2316134  4.0    upper     no    yes
## 146 146       no  37   male    more -0.0666737  4.4    upper    yes     no
## 147 147       no  37   male    more -0.0666737  4.4    upper    yes     no
## 148 148       no  37   male    more -0.0666737  4.3    upper    yes     no
## 149 149       no  37   male    more -0.0666737  3.5    upper    yes     no
## 150 150       no  42   male    more  0.2168924  3.8    upper    yes    yes
## 151 151       no  42   male    more  0.2168924  3.9    upper    yes    yes
## 152 152       no  42   male    more  0.2168924  3.7    upper    yes    yes
## 153 153       no  42   male    more  0.2168924  3.3    upper    yes    yes
## 154 154       no  42   male    more  0.2168924  4.0    upper    yes    yes
## 155 155       no  42   male    more  0.2168924  3.8    upper    yes    yes
## 156 156       no  49   male    more -0.2586962  4.2    upper     no    yes
## 157 157       no  49   male    more -0.2586962  3.1    upper     no    yes
## 158 158       no  49   male    more -0.2586962  3.6    upper     no    yes
## 159 159       no  37 female    more  0.5502878  3.3    upper    yes    yes
## 160 160       no  37 female    more  0.5502878  2.9    upper    yes    yes
## 161 161       no  37 female    more  0.5502878  3.1    upper    yes    yes
## 162 162       no  45   male    more -0.0620358  4.0    lower    yes    yes
## 163 163       no  45   male    more -0.0620358  4.0    lower    yes    yes
## 164 164       no  45   male    more -0.0620358  4.2    upper    yes    yes
## 165 165       no  45   male    more -0.0620358  3.8    upper    yes    yes
## 166 166       no  45   male    more -0.0620358  4.3    lower    yes    yes
## 167 167       no  56 female    more -0.9823852  4.6    upper    yes     no
## 168 168       no  56 female    more -0.9823852  4.3    upper    yes     no
## 169 169       no  56 female    more -0.9823852  3.6    upper    yes     no
## 170 170       no  56 female    more -0.9823852  4.2    upper    yes     no
## 171 171       no  48   male    more -0.0543440  3.9    upper    yes     no
## 172 172       no  48   male    more -0.0543440  4.1    upper    yes     no
## 173 173       no  48   male    more -0.0543440  4.0    lower    yes     no
## 174 174       no  48   male    more -0.0543440  4.3    lower    yes     no
## 175 175       no  48   male    more -0.0543440  3.9    upper    yes     no
## 176 176       no  48   male    more -0.0543440  4.2    lower    yes     no
## 177 177       no  48   male    more -0.0543440  4.2    lower    yes     no
## 178 178       no  46 female    more -0.0680143  4.9    lower    yes    yes
## 179 179       no  46 female    more -0.0680143  4.0    upper    yes    yes
## 180 180       no  46 female    more -0.0680143  4.3    upper    yes    yes
## 181 181       no  46 female    more -0.0680143  4.9    upper    yes    yes
## 182 182       no  46 female    more -0.0680143  3.9    upper    yes    yes
## 183 183       no  46 female    more -0.0680143  4.9    lower    yes    yes
## 184 184       no  46 female    more -0.0680143  3.9    upper    yes    yes
## 185 185       no  46 female    more -0.0680143  4.0    lower    yes    yes
## 186 186       no  57 female    more  0.0294137  3.5    upper    yes     no
## 187 187       no  57 female    more  0.0294137  3.9    upper    yes     no
## 188 188       no  57 female    more  0.0294137  4.0    upper    yes     no
## 189 189       no  57 female    more  0.0294137  3.6    upper    yes     no
## 190 190       no  57 female    more  0.0294137  3.0    upper    yes     no
## 191 191       no  57 female    more  0.0294137  3.0    upper    yes     no
## 192 192       no  57 female    more  0.0294137  3.6    upper    yes     no
## 193 193       no  57 female    more  0.0294137  3.6    upper    yes     no
## 194 194       no  57 female    more  0.0294137  3.2    upper    yes     no
## 195 195       no  52 female    more  0.2394859  3.9    upper    yes     no
## 196 196       no  52 female    more  0.2394859  3.5    upper    yes     no
## 197 197       no  52 female    more  0.2394859  3.5    upper    yes     no
## 198 198       no  52 female  single  0.2394859  3.1    upper    yes     no
## 199 199       no  52 female    more  0.2394859  4.2    upper    yes     no
## 200 200       no  62   male    more -0.7330914  3.6    lower    yes    yes
## 201 201       no  62   male    more -0.7330914  4.5    upper    yes    yes
## 202 202       no  62   male    more -0.7330914  3.7    lower    yes    yes
## 203 203       no  62   male    more -0.7330914  3.4    lower    yes    yes
## 204 204       no  64   male    more -0.1111221  4.5    upper    yes    yes
## 205 205       no  64   male    more -0.1111221  4.6    upper    yes    yes
## 206 206       no  64   male    more -0.1111221  4.8    upper    yes    yes
## 207 207       no  64   male    more -0.1111221  4.5    upper    yes    yes
## 208 208       no  64   male    more -0.1111221  4.4    upper    yes    yes
## 209 209       no  64   male    more -0.1111221  4.1    upper    yes    yes
## 210 210       no  34 female    more  1.7755170  3.9    upper    yes    yes
## 211 211       no  58   male    more -0.3218485  4.3    upper    yes    yes
## 212 212       no  58   male    more -0.3218485  3.5    lower    yes    yes
## 213 213       no  58   male    more -0.3218485  4.0    upper    yes    yes
## 214 214       no  58   male    more -0.3218485  4.0    lower    yes    yes
## 215 215      yes  52   male    more  0.2116939  4.6    upper     no    yes
## 216 216      yes  52   male    more  0.2116939  4.6    upper     no    yes
## 217 217      yes  52   male    more  0.2116939  3.7    upper     no    yes
## 218 218      yes  52   male    more  0.2116939  3.5    upper     no    yes
## 219 219      yes  52   male    more  0.2116939  3.6    upper     no    yes
## 220 220      yes  52   male    more  0.2116939  3.9    upper     no    yes
## 221 221       no  73   male    more -0.7176450  4.2    upper    yes    yes
## 222 222       no  73   male    more -0.7176450  3.2    upper    yes    yes
## 223 223       no  73   male    more -0.7176450  4.9    upper    yes    yes
## 224 224       no  70   male    more -0.7326927  4.0    upper    yes    yes
## 225 225       no  70   male    more -0.7326927  3.5    upper    yes    yes
## 226 226       no  70   male    more -0.7326927  3.4    upper    yes    yes
## 227 227       no  63   male    more -0.0102077  4.2    upper    yes     no
## 228 228       no  63   male    more -0.0102077  3.5    upper    yes     no
## 229 229       no  63   male    more -0.0102077  4.4    upper    yes     no
## 230 230       no  63   male    more -0.0102077  3.7    upper    yes     no
## 231 231       no  63   male    more -0.0102077  3.4    upper    yes     no
## 232 232       no  63   male    more -0.0102077  3.0    upper    yes     no
## 233 233       no  47   male    more -0.9239570  3.9    upper    yes    yes
## 234 234       no  47   male    more -0.9239570  2.8    upper    yes    yes
## 235 235       no  39   male    more  0.5766805  3.7    lower    yes    yes
## 236 236       no  39   male    more  0.5766805  4.6    upper    yes    yes
## 237 237       no  39   male    more  0.5766805  4.2    upper    yes    yes
## 238 238       no  39   male    more  0.5766805  4.4    upper    yes    yes
## 239 239      yes  47 female    more -0.0836015  3.8    upper    yes    yes
## 240 240      yes  47 female  single -0.0836015  4.1    lower    yes    yes
## 241 241      yes  47 female    more -0.0836015  3.7    lower    yes    yes
## 242 242      yes  47 female    more -0.0836015  4.1    upper    yes    yes
## 243 243      yes  47 female    more -0.0836015  3.0    lower    yes    yes
## 244 244      yes  47 female    more -0.0836015  3.2    lower    yes    yes
## 245 245      yes  47 female    more -0.0836015  2.8    lower    yes    yes
## 246 246      yes  47 female  single -0.0836015  4.7    lower    yes    yes
## 247 247      yes  47 female    more -0.0836015  4.2    lower    yes    yes
## 248 248      yes  47 female    more -0.0836015  3.2    lower    yes    yes
## 249 249      yes  47 female    more -0.0836015  3.1    lower    yes    yes
## 250 250      yes  47 female    more -0.0836015  4.0    lower    yes    yes
## 251 251       no  54   male    more -1.0795580  4.2    upper    yes    yes
## 252 252       no  54   male    more -1.0795580  4.3    upper    yes    yes
## 253 253      yes  44 female    more  1.0409020  3.3    upper    yes    yes
## 254 254      yes  44 female    more  1.0409020  4.1    upper    yes    yes
## 255 255      yes  44 female    more  1.0409020  3.7    upper    yes    yes
## 256 256      yes  47   male    more -1.0521080  3.3    upper    yes    yes
## 257 257      yes  47   male    more -1.0521080  3.8    upper    yes    yes
## 258 258      yes  47   male    more -1.0521080  3.4    upper    yes    yes
## 259 259      yes  47   male    more -1.0521080  4.2    upper    yes    yes
## 260 260      yes  47   male    more -1.0521080  3.8    upper    yes    yes
## 261 261      yes  47   male    more -1.0521080  3.5    upper    yes    yes
## 262 262      yes  47   male    more -1.0521080  3.3    upper    yes    yes
## 263 263       no  62   male    more -0.7277681  4.3    upper    yes    yes
## 264 264       no  62   male    more -0.7277681  4.1    upper    yes    yes
## 265 265       no  60   male    more -0.3953965  4.5    upper    yes    yes
## 266 266       no  60   male    more -0.3953965  4.5    upper    yes    yes
## 267 267       no  60   male    more -0.3953965  4.6    upper    yes    yes
## 268 268       no  60   male    more -0.3953965  4.4    upper    yes    yes
## 269 269       no  60   male    more -0.3953965  4.1    upper    yes    yes
## 270 270       no  60   male    more -0.3953965  4.5    upper    yes    yes
## 271 271       no  60   male    more -0.3953965  4.3    lower    yes    yes
## 272 272       no  42   male    more -0.2377786  4.4    upper    yes    yes
## 273 273       no  42   male    more -0.2377786  4.9    upper    yes    yes
## 274 274       no  42   male    more -0.2377786  4.7    upper    yes    yes
## 275 275       no  42   male    more -0.2377786  4.6    upper    yes    yes
## 276 276       no  35   male    more  0.2749080  4.8    lower    yes    yes
## 277 277       no  35   male    more  0.2749080  4.2    upper    yes    yes
## 278 278       no  35   male    more  0.2749080  4.6    lower    yes    yes
## 279 279       no  39 female    more  1.9700230  4.7    upper    yes     no
## 280 280       no  39 female    more  1.9700230  4.6    upper    yes     no
## 281 281       no  39 female    more  1.9700230  3.6    lower    yes     no
## 282 282       no  49   male    more  1.0509500  3.9    upper    yes    yes
## 283 283       no  49   male    more  1.0509500  4.0    upper    yes    yes
## 284 284       no  61   male    more  0.2418185  4.4    upper    yes    yes
## 285 285       no  61   male    more  0.2418185  4.5    lower    yes    yes
## 286 286       no  61   male    more  0.2418185  4.4    upper    yes    yes
## 287 287       no  33   male    more  1.3493950  3.0    upper    yes    yes
## 288 288       no  33   male    more  1.3493950  3.7    upper    yes    yes
## 289 289       no  56 female    more -0.2577254  3.6    upper    yes    yes
## 290 290       no  56 female    more -0.2577254  3.1    upper    yes    yes
## 291 291       no  50 female  single -0.6562689  3.8    lower    yes     no
## 292 292       no  50 female  single -0.6562689  4.7    lower    yes     no
## 293 293       no  50 female    more -0.6562689  3.8    upper    yes     no
## 294 294       no  50 female    more -0.6562689  3.8    upper    yes     no
## 295 295       no  50 female    more -0.6562689  2.8    upper    yes     no
## 296 296       no  50 female    more -0.6562689  4.0    upper    yes     no
## 297 297       no  52   male    more -0.6563948  4.0    upper    yes    yes
## 298 298       no  52   male    more -0.6563948  3.5    upper    yes    yes
## 299 299       no  52   male    more -0.6563948  3.4    upper    yes    yes
## 300 300       no  52   male    more -0.6563948  4.0    upper    yes    yes
## 301 301       no  52   male    more -0.6563948  3.5    upper    yes    yes
## 302 302       no  52   male    more -0.6563948  3.8    upper    yes    yes
## 303 303       no  52   male    more -0.6563948  4.7    upper    yes    yes
## 304 304       no  52   male    more -0.6563948  3.9    upper    yes    yes
## 305 305       no  52   male    more -0.6563948  4.5    upper    yes    yes
## 306 306       no  52   male    more -0.6563948  4.2    upper    yes    yes
## 307 307       no  52   male    more -0.6563948  4.7    upper    yes    yes
## 308 308       no  52   male    more -0.6563948  4.0    upper    yes    yes
## 309 309       no  33 female    more  0.7244775  4.8    upper    yes    yes
## 310 310       no  33 female    more  0.7244775  4.8    upper    yes    yes
## 311 311       no  33 female    more  0.7244775  4.4    upper    yes    yes
## 312 312       no  33 female    more  0.7244775  4.7    upper    yes    yes
## 313 313       no  33 female    more  0.7244775  4.5    upper    yes    yes
## 314 314       no  57   male    more  0.6318343  4.2    upper    yes    yes
## 315 315       no  57   male    more  0.6318343  4.4    upper    yes    yes
## 316 316       no  57   male    more  0.6318343  4.1    upper    yes    yes
## 317 317       no  38 female    more  1.0709440  4.2    lower    yes    yes
## 318 318       no  38 female    more  1.0709440  4.8    upper    yes    yes
## 319 319       no  38 female    more  1.0709440  4.4    upper    yes    yes
## 320 320       no  38 female    more  1.0709440  4.7    upper    yes    yes
## 321 321       no  38 female    more  1.0709440  4.2    lower    yes    yes
## 322 322       no  38 female    more  1.0709440  4.5    upper    yes    yes
## 323 323       no  34 female    more -1.4504940  3.4    lower    yes    yes
## 324 324       no  34 female    more -1.4504940  3.7    lower    yes    yes
## 325 325       no  34 female    more -1.4504940  3.6    upper    yes    yes
## 326 326       no  34 female    more -1.4504940  3.9    upper    yes    yes
## 327 327       no  34 female    more -1.4504940  3.9    upper    yes    yes
## 328 328       no  34   male    more  1.1558800  3.7    upper    yes    yes
## 329 329       no  34   male    more  1.1558800  3.0    lower    yes    yes
## 330 330       no  32   male    more -0.3260148  3.6    lower    yes    yes
## 331 331       no  32   male    more -0.3260148  3.6    lower    yes    yes
## 332 332       no  32   male    more -0.3260148  4.3    upper    yes    yes
## 333 333       no  32   male    more -0.3260148  4.5    upper    yes    yes
## 334 334       no  42 female    more  0.8846435  3.9    upper    yes    yes
## 335 335       no  43 female    more -0.5583452  4.6    upper    yes    yes
## 336 336       no  43 female    more -0.5583452  4.1    lower    yes    yes
## 337 337       no  43 female    more -0.5583452  4.2    lower    yes    yes
## 338 338       no  43 female    more -0.5583452  4.1    lower    yes    yes
## 339 339       no  43 female    more -0.5583452  3.1    lower    yes    yes
## 340 340       no  43 female    more -0.5583452  3.6    lower    yes    yes
## 341 341       no  43 female    more -0.5583452  4.2    upper    yes    yes
## 342 342       no  43 female    more -0.5583452  3.0    lower    yes    yes
## 343 343       no  43 female    more -0.5583452  4.2    upper    yes    yes
## 344 344       no  35   male    more -0.3415543  3.4    lower     no    yes
## 345 345       no  62 female    more -0.5040575  3.1    upper    yes    yes
## 346 346       no  62 female    more -0.5040575  2.7    upper    yes    yes
## 347 347       no  52 female    more  0.7735240  3.9    upper    yes    yes
## 348 348       no  52 female    more  1.0639380  3.9    upper    yes    yes
## 349 349       no  52 female    more  1.0639380  3.6    upper    yes    yes
## 350 350       no  52 female    more -1.0903890  3.7    upper    yes     no
## 351 351       no  52 female    more -1.0903890  3.6    upper    yes     no
## 352 352       no  52 female    more -1.0903890  4.4    upper    yes     no
## 353 353       no  52 female    more -1.0903890  4.3    upper    yes     no
## 354 354       no  52 female    more -1.0903890  4.1    upper    yes     no
## 355 355       no  52 female    more -1.0903890  3.7    upper    yes     no
## 356 356       no  64   male    more -1.0691620  3.6    upper    yes    yes
## 357 357       no  64   male    more -1.0691620  2.8    upper    yes    yes
## 358 358       no  64   male    more -1.0691620  4.0    upper    yes    yes
## 359 359       no  64   male    more -1.0691620  4.4    upper    yes    yes
## 360 360       no  64   male    more -1.0691620  3.6    upper    yes    yes
## 361 361       no  50   male    more  1.4156950  3.7    upper    yes    yes
## 362 362       no  60   male    more -1.4229190  2.9    upper    yes    yes
## 363 363       no  60   male    more -1.4229190  2.6    upper    yes    yes
## 364 364       no  43   male  single -0.4899626  4.8    lower    yes    yes
## 365 365       no  43   male  single -0.4899626  4.9    lower    yes    yes
## 366 366       no  43   male    more -0.4899626  4.3    lower    yes    yes
## 367 367       no  43   male    more -0.4899626  4.4    lower    yes    yes
## 368 368       no  43   male  single -0.4899626  4.3    lower    yes    yes
## 369 369       no  43   male  single -0.4899626  4.7    lower    yes    yes
## 370 370       no  43   male  single -0.4899626  4.3    lower    yes    yes
## 371 371       no  43   male    more -0.4899626  4.6    lower    yes    yes
## 372 372      yes  50   male  single -0.5835869  4.9    lower    yes     no
## 373 373      yes  50   male  single -0.5835869  4.8    lower    yes     no
## 374 374      yes  50   male  single -0.5835869  4.7    lower    yes     no
## 375 375      yes  50   male  single -0.5835869  4.8    lower    yes     no
## 376 376      yes  50   male  single -0.5835869  4.9    lower    yes     no
## 377 377      yes  50   male  single -0.5835869  4.8    lower    yes     no
## 378 378      yes  50   male  single -0.5835869  4.8    lower    yes     no
## 379 379      yes  50   male  single -0.5835869  5.0    lower    yes     no
## 380 380      yes  50   male  single -0.5835869  4.5    lower    yes     no
## 381 381       no  52   male    more  0.7566829  3.8    upper    yes    yes
## 382 382       no  52   male    more  0.7566829  3.8    upper    yes    yes
## 383 383       no  52   male    more  0.7566829  3.8    upper    yes    yes
## 384 384       no  52   male    more  0.7566829  4.0    upper    yes    yes
## 385 385       no  52   male    more  0.7566829  4.2    upper    yes    yes
## 386 386       no  51   male    more  0.8808186  4.5    lower    yes    yes
## 387 387       no  51   male    more  0.8808186  4.5    lower    yes    yes
## 388 388       no  51   male    more  0.8808186  4.6    lower    yes    yes
## 389 389       no  51   male    more  0.8808186  4.7    lower    yes    yes
## 390 390       no  38   male    more -0.5665014  4.1    lower    yes    yes
## 391 391       no  38   male    more -0.5665014  3.6    lower    yes    yes
## 392 392       no  38   male    more -0.5665014  4.0    lower    yes    yes
## 393 393       no  47 female    more  0.3394037  3.4    lower    yes    yes
## 394 394      yes  43 female    more -0.1513687  2.8    lower    yes    yes
## 395 395       no  38 female    more -1.0249970  4.1    lower    yes     no
## 396 396       no  38 female    more -1.0249970  3.5    lower    yes     no
## 397 397       no  38 female    more -1.0249970  3.4    lower    yes     no
## 398 398       no  38 female    more -1.0249970  4.1    lower    yes     no
## 399 399       no  38 female    more -1.0249970  4.2    lower    yes     no
## 400 400       no  43   male    more -0.0252444  4.3    lower    yes    yes
## 401 401       no  43   male    more -0.0252444  4.1    upper    yes    yes
## 402 402       no  43   male    more -0.0252444  3.4    upper    yes    yes
## 403 403       no  57   male    more -0.7467875  3.5    upper    yes    yes
## 404 404       no  57   male    more -0.7467875  3.6    upper    yes    yes
## 405 405       no  51 female    more  0.9889485  3.7    upper    yes    yes
## 406 406       no  51 female    more  0.9889485  3.0    upper    yes    yes
## 407 407       no  51 female    more  0.9889485  4.6    upper    yes    yes
## 408 408       no  45   male  single -0.5324199  4.0    lower    yes     no
## 409 409       no  45   male    more -0.5324199  4.8    lower    yes     no
## 410 410       no  45   male  single -0.5324199  4.6    lower    yes     no
## 411 411       no  57   male    more -0.7668921  3.4    lower    yes    yes
## 412 412       no  57   male    more -0.7668921  4.4    lower    yes    yes
## 413 413       no  57   male    more -0.7668921  3.6    lower    yes    yes
## 414 414       no  57   male    more -0.7668921  3.8    lower    yes    yes
## 415 415       no  57   male    more -0.7668921  3.7    lower    yes    yes
## 416 416       no  57   male    more -0.7668921  4.7    lower    yes    yes
## 417 417       no  57   male    more -0.7668921  4.5    lower    yes    yes
## 418 418       no  57   male    more -0.7668921  5.0    upper    yes    yes
## 419 419       no  57   male    more -0.7668921  3.8    lower    yes    yes
## 420 420       no  57   male    more -0.7668921  4.1    lower    yes    yes
## 421 421       no  47 female  single  1.1542560  4.3    lower    yes     no
## 422 422       no  47 female  single  1.1542560  4.4    lower    yes     no
## 423 423       no  47 female  single  1.1542560  4.7    lower    yes     no
## 424 424       no  47 female    more  1.1542560  3.9    lower    yes     no
## 425 425      yes  54 female    more  1.2326020  4.8    lower    yes    yes
## 426 426      yes  54 female    more  1.2326020  4.3    lower    yes    yes
## 427 427      yes  54 female    more  1.2326020  4.6    lower    yes    yes
## 428 428      yes  54 female    more  1.2326020  3.8    lower    yes    yes
## 429 429       no  58   male    more  1.7743340  5.0    lower    yes     no
## 430 430       no  58   male    more  1.7743340  4.9    lower    yes     no
## 431 431       no  58   male    more  1.7743340  4.6    lower    yes     no
## 432 432       no  58   male    more  1.7743340  4.6    lower    yes     no
## 433 433       no  58   male    more  1.7743340  5.0    lower    yes     no
## 434 434       no  58   male    more  1.7743340  4.6    lower    yes     no
## 435 435       no  58   male    more  1.7743340  4.9    lower    yes     no
## 436 436       no  42   male    more  1.7731510  4.0    lower    yes    yes
## 437 437       no  42   male    more  1.7731510  3.9    upper    yes    yes
## 438 438       no  33   male    more  0.7245926  4.1    lower    yes    yes
## 439 439       no  62   male    more -1.1816260  2.9    lower    yes    yes
## 440 440       no  62   male    more -1.1816260  2.8    lower    yes    yes
## 441 441       no  62   male    more -1.1816260  2.8    lower    yes    yes
## 442 442       no  62   male    more -1.1816260  4.0    upper    yes    yes
## 443 443       no  62   male    more -1.1816260  3.3    lower    yes    yes
## 444 444       no  62   male    more -1.1816260  3.0    lower    yes    yes
## 445 445      yes  35 female    more  1.7694520  3.6    lower    yes    yes
## 446 446      yes  35 female    more  1.7694520  3.8    lower    yes    yes
## 447 447       no  61   male    more -0.5872612  3.9    lower    yes    yes
## 448 448       no  52 female    more -0.0018324  4.7    lower    yes    yes
## 449 449       no  52 female    more -0.0018324  4.7    lower    yes    yes
## 450 450       no  60 female    more -0.0566766  3.9    upper     no    yes
## 451 451       no  60 female    more -0.0566766  4.4    upper     no    yes
## 452 452       no  60 female    more -0.0566766  3.6    upper     no    yes
## 453 453       no  60 female    more -0.0566766  4.2    upper     no    yes
## 454 454       no  60 female    more -0.0566766  3.4    upper     no    yes
## 455 455       no  60 female    more -0.0566766  4.0    upper     no    yes
## 456 456       no  32   male    more  1.2313940  4.2    lower    yes    yes
## 457 457       no  32   male    more  1.2313940  4.4    upper    yes    yes
## 458 458       no  32   male    more  1.2313940  4.5    lower    yes    yes
## 459 459       no  32   male    more  1.2313940  3.2    lower    yes    yes
## 460 460       no  32   male    more  1.2313940  4.3    upper    yes    yes
## 461 461      yes  42 female    more  0.4203998  3.3    upper     no    yes
## 462 462      yes  42 female    more  0.4203998  3.2    upper     no    yes
## 463 463      yes  42 female  single  0.4203998  4.1    lower     no    yes
##     students allstudents prof
## 1         24          43    1
## 2         17          20    2
## 3         55          55    3
## 4         40          46    4
## 5         42          48    5
## 6        182         282    6
## 7         33          41    7
## 8         25          41    8
## 9         48          60    9
## 10        16          19   10
## 11        18          25   11
## 12        30          34   12
## 13        28          40   13
## 14        30          36   14
## 15        23          28   15
## 16        23          33   16
## 17        27          41   17
## 18       100         135   18
## 19        25          31   19
## 20        17          28   20
## 21        19          22   21
## 22        19          26   22
## 23        30          39   23
## 24        15          24   24
## 25        20          26   25
## 26        84         159   26
## 27        13          16   27
## 28        12          17   28
## 29        47         134   29
## 30        10          12   30
## 31        28          43   31
## 32        10          15   32
## 33        86         246   33
## 34        21          21   34
## 35        15          15   35
## 36        30          55   36
## 37        20          27   37
## 38        12          13   38
## 39        25          34   39
## 40        15          17   40
## 41        13          14   41
## 42        42          51   42
## 43        22          24   43
## 44        28          45   44
## 45        22          27   45
## 46        30          31   46
## 47        26          34   47
## 48        12          19   48
## 49        22          27   49
## 50        57          67   50
## 51        10          15   51
## 52        69          77   52
## 53        46          65   53
## 54        54          91   54
## 55        24          36   55
## 56        85         248   56
## 57        44          62   57
## 58        35          51   58
## 59        11          19   59
## 60        22          27   60
## 61        45          86   61
## 62        22          29   62
## 63        64          88   63
## 64        31          44   64
## 65        59          75   65
## 66         9          11   66
## 67        15          16   67
## 68        23          32   68
## 69        47          67   69
## 70        19          22   70
## 71        17          24   71
## 72        46          69   72
## 73       348         574   73
## 74        44          87   74
## 75        19          24   75
## 76        47         103   76
## 77        33          68   77
## 78        10          13   78
## 79         7          13   79
## 80         9          11   80
## 81        12          17   81
## 82        13          14   82
## 83        16          21   83
## 84        18          18   84
## 85        16          17   85
## 86        15          18   86
## 87        85         120   87
## 88        11          38   88
## 89        60          96   89
## 90        27          39   90
## 91        61         111   91
## 92        23          27   92
## 93        98         132   93
## 94        48          84   94
## 95        86         125    1
## 96        76         125    1
## 97        77         123    1
## 98        35          40    2
## 99        39          44    2
## 100      111         195    3
## 101       24          27    4
## 102       24          25    4
## 103       17          20    4
## 104       14          25    4
## 105       37          42    4
## 106       18          20    4
## 107       15          18    4
## 108       40          44    5
## 109       38          48    5
## 110       40          45    5
## 111       52          59    5
## 112       49          87    5
## 113      160         292    6
## 114       79         130    6
## 115      176         285    6
## 116      155         272    6
## 117      166         286    6
## 118      186         302    6
## 119       29          34    7
## 120       37          41    7
## 121       29          41    7
## 122       28          34    7
## 123       21          22    8
## 124       13          21    8
## 125       16          17    8
## 126       24          30    8
## 127       23          23    8
## 128       20          20    8
## 129       29          33    9
## 130       11          44    9
## 131       29          49    9
## 132       25          29    9
## 133       42          48    9
## 134       34          40    9
## 135       12          16   10
## 136       14          15   10
## 137       22          23   10
## 138       10          11   10
## 139       17          29   10
## 140       16          21   10
## 141       15          18   10
## 142       16          19   10
## 143       16          20   10
## 144       30          33   11
## 145       23          24   11
## 146       13          21   12
## 147       24          30   12
## 148       24          25   12
## 149       25          35   12
## 150       18          30   13
## 151       28          42   13
## 152       25          57   13
## 153       40          57   13
## 154       40          51   13
## 155       18          30   13
## 156       31          37   14
## 157       15          29   14
## 158       23          27   14
## 159       34          52   15
## 160       21          26   15
## 161       29          30   15
## 162       45         177   16
## 163       90         199   16
## 164       27          32   16
## 165       35          37   16
## 166      120         161   16
## 167       39          44   17
## 168       35          53   17
## 169       34          49   17
## 170       27          32   17
## 171       20          33   18
## 172       14          19   18
## 173       65         111   18
## 174       95         149   18
## 175       18          27   18
## 176       85         136   18
## 177      113         140   18
## 178       14          15   19
## 179       23          29   19
## 180       23          25   19
## 181        9          18   19
## 182       30          45   19
## 183       15          15   19
## 184       31          38   19
## 185       12          15   19
## 186       10          23   20
## 187       15          19   20
## 188        7          23   20
## 189        7          22   20
## 190       14          20   20
## 191        8          19   20
## 192       17          23   20
## 193       10          22   20
## 194       12          15   20
## 195       27          31   21
## 196       20          21   21
## 197       31          36   21
## 198       17          19   21
## 199       23          37   21
## 200       94         184   23
## 201       46          50   23
## 202       80         157   23
## 203       61         164   23
## 204       51          68   24
## 205       22          47   24
## 206       10          14   24
## 207       11          15   24
## 208       15          24   24
## 209       21          39   24
## 210       33          40   25
## 211       71         151   26
## 212       36          47   26
## 213       73         122   26
## 214       31          45   26
## 215       23          23   27
## 216       12          16   27
## 217       15          18   27
## 218       11          16   27
## 219       12          15   27
## 220       18          28   27
## 221       10          13   28
## 222       16          21   28
## 223       13          17   28
## 224        5          48   29
## 225       34          64   29
## 226       24          69   29
## 227       11          14   31
## 228       10          15   31
## 229       14          18   31
## 230       12          16   31
## 231        8          10   31
## 232       23          47   31
## 233       10          14   32
## 234       10          12   32
## 235      154         316   33
## 236       12          15   33
## 237       14          15   33
## 238       27          29   33
## 239        8           8   34
## 240       16          16   34
## 241       24          26   34
## 242        7          10   34
## 243       25          26   34
## 244       24          26   34
## 245       24          26   34
## 246       20          21   34
## 247       12          12   34
## 248       25          27   34
## 249       26          27   34
## 250       24          25   34
## 251       10          15   35
## 252       16          17   35
## 253       35          48   36
## 254       21          21   36
## 255       35          39   36
## 256        9          14   37
## 257       21          26   37
## 258       13          16   37
## 259       13          16   37
## 260       12          13   37
## 261       14          14   37
## 262       15          17   37
## 263       13          15   38
## 264        7          10   38
## 265       12          16   39
## 266       11          14   39
## 267        8          12   39
## 268       24          39   39
## 269       15          35   39
## 270       31          45   39
## 271       36          45   39
## 272       14          14   41
## 273       13          14   41
## 274       12          12   41
## 275       13          15   41
## 276       21          23   42
## 277       49          57   42
## 278       44          50   42
## 279       18          23   43
## 280       20          23   43
## 281       27          28   43
## 282       27          42   44
## 283       49          57   44
## 284       31          38   45
## 285       19          22   45
## 286       27          43   45
## 287       12          13   46
## 288       13          15   46
## 289       16          20   48
## 290       17          23   48
## 291       24          32   49
## 292       14          21   49
## 293       23          24   49
## 294       19          21   49
## 295       18          28   49
## 296       23          29   49
## 297       81          89   50
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## 299      102         122   50
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## 336       26          34   58
## 337       28          37   58
## 338       13          14   58
## 339      174         266   58
## 340      171         254   58
## 341       10          13   58
## 342      166         282   58
## 343       17          17   58
## 344       22          42   59
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## 347       70          98   63
## 348       49          65   64
## 349       32          63   64
## 350       35          43   65
## 351       59          80   65
## 352       45          52   65
## 353       34          48   65
## 354       50          66   65
## 355       67         100   65
## 356        8          16   66
## 357       18          22   66
## 358        5          11   66
## 359        5          10   66
## 360       16          16   66
## 361        9          10   67
## 362        7          10   68
## 363       10          16   68
## 364       15          28   70
## 365       18          30   70
## 366       11          15   70
## 367       10          13   70
## 368       17          18   70
## 369       22          26   70
## 370       18          30   70
## 371       14          14   70
## 372       20          22   71
## 373       21          25   71
## 374       23          26   71
## 375       19          22   71
## 376       20          26   71
## 377       17          20   71
## 378       18          22   71
## 379       20          21   71
## 380       19          21   71
## 381       46          65   72
## 382       39          62   72
## 383       34          67   72
## 384       29          40   72
## 385       27          45   72
## 386      372         579   73
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## 389      322         527   73
## 390       66          84   74
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## 392       60          92   74
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## 394       93         190   76
## 395       36          60   77
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## 400        8          13   78
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## 408       17          20   81
## 409       13          19   81
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## 411       12          18   82
## 412       12          12   82
## 413       16          19   82
## 414       12          16   82
## 415       14          16   82
## 416       11          12   82
## 417       15          17   82
## 418        6          15   82
## 419       15          16   82
## 420       12          17   82
## 421       15          17   83
## 422       10          10   83
## 423       16          17   83
## 424       15          17   83
## 425       15          16   84
## 426       21          26   84
## 427       14          18   84
## 428       16          20   84
## 429       21          21   85
## 430       18          21   85
## 431       17          20   85
## 432       19          20   85
## 433       11          13   85
## 434       14          16   85
## 435       16          17   85
## 436       22          24   86
## 437       17          20   86
## 438       67         155   87
## 439       28          70   88
## 440       61         149   88
## 441       49         137   88
## 442       13          29   88
## 443       28          55   88
## 444       67         136   88
## 445       20          60   89
## 446       43         108   89
## 447       13          15   90
## 448       14          17   91
## 449       19          19   91
## 450       18          19   92
## 451       11          13   92
## 452       18          19   92
## 453       11          22   92
## 454        7          20   92
## 455       24          27   92
## 456      111         127   93
## 457       62          85   93
## 458       76         101   93
## 459        9          21   93
## 460       52          86   93
## 461       52          67   94
## 462       54          66   94
## 463       28          35   94

#1 Data Exploration

##        X           minority              age           gender         
##  Min.   :  1.0   Length:463         Min.   :29.00   Length:463        
##  1st Qu.:116.5   Class :character   1st Qu.:42.00   Class :character  
##  Median :232.0   Mode  :character   Median :48.00   Mode  :character  
##  Mean   :232.0                      Mean   :48.37                     
##  3rd Qu.:347.5                      3rd Qu.:57.00                     
##  Max.   :463.0                      Max.   :73.00                     
##    credits              beauty                eval         division        
##  Length:463         Min.   :-1.4504940   Min.   :2.100   Length:463        
##  Class :character   1st Qu.:-0.6562689   1st Qu.:3.600   Class :character  
##  Mode  :character   Median :-0.0680143   Median :4.000   Mode  :character  
##                     Mean   : 0.0000001   Mean   :3.998                     
##                     3rd Qu.: 0.5456024   3rd Qu.:4.400                     
##                     Max.   : 1.9700230   Max.   :5.000                     
##     native             tenure             students       allstudents    
##  Length:463         Length:463         Min.   :  5.00   Min.   :  8.00  
##  Class :character   Class :character   1st Qu.: 15.00   1st Qu.: 19.00  
##  Mode  :character   Mode  :character   Median : 23.00   Median : 29.00  
##                                        Mean   : 36.62   Mean   : 55.18  
##                                        3rd Qu.: 40.00   3rd Qu.: 60.00  
##                                        Max.   :380.00   Max.   :581.00  
##       prof      
##  Min.   : 1.00  
##  1st Qu.:20.00  
##  Median :44.00  
##  Mean   :45.43  
##  3rd Qu.:70.50  
##  Max.   :94.00

##   [1] 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1
##  [38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
##  [75] 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0
## [149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0
## [223] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1
## [260] 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [297] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [334] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [371] 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## [408] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [445] 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1

## [1] -0.05169619

The correlation between the age and the evaluation of teachers is very little. let’s find out more about this data:

The beauty (I think this data is taking in consideration the beauty of the lessons were evaluated), has negative value but not very bad. The minimum in the evaluation is 2, which I think means “developing”. I also noticed there is a correlation between whether the teacher is tenured or not and their evaluation, so I created a new data that has a sample of those data (tenure and eval) only:

Ordering the tenure data frame by who is not tenured and who is, gives me a good sight of the data; the teachers who are not tenured yet, they get good evaluation (minimum of 3.4/5). I replaced the “yes” and “no” in tenure with “1” and “0” respectively to be able to see the correlation better. Based on the histogram above, the data were collected with more tenured teachers.

## [1] 0.07819319

At first glance, I thought that there is a strong correlation between the age and prof of the teachers. After visualizing the scatter plot and computing the correlation coefficient, there is no correlation between both variables.

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    15.0    33.0    51.0    91.8    97.5   961.0

## [1] 0.0126097

I cannot find strong correlation or which component is really affecting teachers’ evaluation. I am going to compute the correlation coefficient of the evaluation and different quantitative variables from the data:

## [1] -0.05169619

## [1] 0.1890391

## [1] 0.03546667

## [1] -0.001229338

## [1] 0.01985966

## [1] 0.0126097

The biggest correlation coefficient among the above is between the evaluation and the beauty. I am not sure what beauty is meant in this data; is it the beauty of the lesson plan, the classroom or other. But, there is a positive correlation between both.

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