Chap2. Use the data in BWGHT to answer this question.

#install.packages("wooldridge")
library(wooldridge)
data<-wooldridge::bwght
  1. Using data from 1988 for houses sold in Andover, Massachusetts, from Kiel and McClain (1995), the following equation relates housing price (price) to the distance from a recently built garbage incinerator (dist): log(price)=9.40+0.312 log(dist) n=135, R^2=0.162.
  1. Interpret the coefficient on log(dist). Is the sign of this estimate what you expect it to be? Answer: There is a positive relation between log(dist) and log(price) it means the farther you are from a garbage incinerator the more your house will sell for.
  2. Do you think simple regression provides an unbiased estimator of the ceteris paribus elasticity of price with respect to dist? (Think about the city’s decision on where to put the incinerator.) Answer: A city wouldn’t put a garbage incinerator next to a neighborhood thats already built because they know that the houses in the surrounding area would lose value. Therefore, the distance of a house to a garbage incinerator is more biased.
  3. What other factors about a house affect its price? Might these be correlated with distance from the incinerator? Answer: Other factors about price of a house besides location are how old the house is, if it’s newly updated, and how many sqft it is. Chap4. Use the data in WAGE2 to estimate a simple regression explaining monthly salary (wage) in terms of IQ score (IQ).
  4. Find the average salary and average IQ in the sample. What is the sample standard deviation of IQ? (IQ scores are standardized so that the average in the population is 100 with a standard deviation equal to 15.)
library(wooldridge)
Datanew<-wooldridge::wage2
attach(Datanew)
Datanew
##     wage hours  IQ KWW educ exper tenure age married black south urban sibs
## 1    769    40  93  35   12    11      2  31       1     0     0     1    1
## 2    808    50 119  41   18    11     16  37       1     0     0     1    1
## 3    825    40 108  46   14    11      9  33       1     0     0     1    1
## 4    650    40  96  32   12    13      7  32       1     0     0     1    4
## 5    562    40  74  27   11    14      5  34       1     0     0     1   10
## 6   1400    40 116  43   16    14      2  35       1     1     0     1    1
## 7    600    40  91  24   10    13      0  30       0     0     0     1    1
## 8   1081    40 114  50   18     8     14  38       1     0     0     1    2
## 9   1154    45 111  37   15    13      1  36       1     0     0     0    2
## 10  1000    40  95  44   12    16     16  36       1     0     0     1    1
## 11   930    43 132  44   18     8     13  38       1     0     0     0    1
## 12   921    38 102  45   14     9     11  33       1     0     0     0    1
## 13   900    45 125  40   15     4      3  30       0     0     0     0    2
## 14  1318    38 119  24   16     7      2  28       1     0     0     1    3
## 15  1792    40 118  47   16     9      9  34       1     0     0     1    1
## 16   958    50 105  37   10    17      2  35       1     0     0     1    1
## 17  1360    45 109  39   15     6      9  36       1     0     0     1    3
## 18   850    40  72  36   11    19     10  38       1     0     0     1    2
## 19   830    44 105  29   14     4      7  29       1     0     0     1    3
## 20   471    44 101  34   12    13      7  31       1     0     0     1    3
## 21  1275    40 123  37   14     9      1  31       1     0     0     1    0
## 22  1615    50 113  49   16    10      4  36       1     0     0     1    2
## 23   873    65  95  36   12    14      3  38       1     0     0     1    5
## 24  2137    45 145  50   16    17      8  38       1     0     0     1    2
## 25  1053    38 114  35   16    12      7  32       1     0     0     1    0
## 26  1602    60 124  32   16     8      9  29       1     0     0     1    3
## 27  1188    40  93  40   13    16      5  35       1     0     0     1    2
## 28   800    40 115  39   18    11      1  35       1     0     1     1    0
## 29  1417    48 125  41   17     9      4  34       1     0     0     1    3
## 30   635    40 128  35   18     8     13  36       0     0     0     1    2
## 31  1000    40 103  40   12    17      2  34       1     0     0     1    1
## 32  1424    50  98  41   14    15      4  35       1     0     0     1    1
## 33  2668    75 108  41   13    12      2  32       1     0     1     1    1
## 34   666    75 129  40   18     8     12  38       1     0     0     0    2
## 35  1779    40 132  42   17     8      9  32       1     0     0     1    1
## 36   782    40  92  24   13     9     10  31       1     0     0     1    3
## 37  1572    35 108  39   14     7      5  28       1     1     0     1    1
## 38  1274    40 106  35   13    11     12  31       1     0     0     1    0
## 39   714    35 105  37   16     9      2  29       1     0     0     1    1
## 40  1081    40 123  46   18    11      7  36       1     0     0     0    1
## 41   692    40 108  48   12    21     11  38       1     0     0     1    3
## 42  1318    38 122  47   17    10      9  33       1     0     0     1    1
## 43  1239    45 109  44   12    16      4  38       1     0     0     1    3
## 44  1027    27 100  40   13    12     15  38       1     0     0     1    3
## 45  1748    55 125  50   18    12     12  34       1     0     0     1    1
## 46   981    40 122  41   14     9     15  35       0     0     0     1    3
## 47   770    40 105  34   17     7     11  30       1     0     0     1    3
## 48  1154    50  94  37   16    11      5  33       1     0     0     1    1
## 49  1155    40 102  36   12    16      5  34       1     0     0     1    1
## 50   808    60 109  47   13    14     12  38       1     0     0     1    2
## 51  1100    40 105  45   12    22     14  38       1     0     0     1    1
## 52  1154    40 134  46   18    10     10  37       1     0     1     1    2
## 53  1749    40 108  32   12    13      9  29       0     0     0     1    7
## 54  1000    50 104  36   16    11      8  30       1     0     0     1    1
## 55   462    40 112  35   12    11      1  29       1     0     0     1    8
## 56   769    55 120  49   18     8     12  32       0     0     0     1    1
## 57   875    50 124  40   16     9      3  31       0     0     0     0    2
## 58  1375    40 103  34   12    12      7  29       1     0     0     1    4
## 59  1452    45 115  45   17     1      7  30       1     0     0     1    3
## 60   800    40  96  33   12    17     12  35       1     0     0     1    1
## 61  1748    55 123  48   17    10      7  36       1     0     0     1    1
## 62  1151    40  98  34   12    12     12  29       1     0     0     1    3
## 63   840    50  96  34   12    18     13  35       1     0     0     1    2
## 64   978    45  89  47   12    17      2  38       1     0     0     1    0
## 65   963    40 109  43   12    15     15  37       0     0     0     0    5
## 66   619    42  93  20   12    10     10  28       0     0     0     1    8
## 67   442    60  82  32   12    12      0  33       1     0     0     1    2
## 68   600    40 120  45   15    12      1  38       1     0     0     0    3
## 69  1366    38 122  38   12    15     15  32       1     0     0     1    1
## 70  1643    48 117  48   18     8      2  33       1     0     0     1    2
## 71  1455    40 109  44   16     8     13  36       1     0     0     1    1
## 72  2310    40 114  55   18    12      7  38       1     0     0     1    2
## 73  1682    45 126  40   16    10     11  31       1     0     0     1    1
## 74  1235    40  82  45   12    10      2  33       1     0     0     1    1
## 75   855    45 119  45   16    11      4  32       1     0     0     1    3
## 76  1072    42 104  37   16     6      8  35       1     0     0     1    2
## 77  1040    40 115  49   15     8     15  35       1     0     0     1    3
## 78  1000    50  97  45   12    17     15  36       1     0     0     1    1
## 79   675    40 105  27   15     8      2  31       1     0     0     0    3
## 80  1100    37 100  32   12    14      1  30       1     0     0     1    1
## 81   996    50 114  41   12     5     14  31       1     0     0     1    2
## 82   732    40  73  28   10    17      5  36       1     0     0     1    5
## 83  1200    40  96  48   11    15      3  37       1     0     0     1    4
## 84  1694    30 113  30   15     9      8  29       0     0     0     1    3
## 85   686    55 106  38   10    15      3  36       1     0     1     1    4
## 86   754    40 104  37   13     9      5  32       1     0     0     1    1
## 87   857    35  80  39   10    14     15  33       1     0     0     1    2
## 88   832    50 104  30   13     4      2  30       1     0     0     1    1
## 89   579    44 122  36   13     8      1  30       1     0     0     0    4
## 90   672    61  96  38   12    13      3  34       1     0     0     1    2
## 91  2500    40  95  51   15    12      9  36       1     0     0     1    3
## 92  1076    45 105  24   12     5      8  31       0     0     0     1    1
## 93   750    40  94  18   12    16      3  37       1     1     0     1    7
## 94  1186    30  91  41   17     8      9  33       1     0     0     1    1
## 95   833    48  96  37   16     9      7  31       1     0     0     1    4
## 96   650    40  69  37   12    14     11  30       1     1     0     1    3
## 97  1250    46 110  37   12     5     16  38       1     0     0     0    1
## 98  1122    48 111  44   15    12      9  31       1     0     0     1    3
## 99   865    40 110  35   16     1     11  31       1     0     0     1    3
## 100  808    40  97  37   16    10      7  29       1     0     0     1    3
## 101 1299    60 125  44   18     6     12  35       0     0     0     1    1
## 102  903    40  91  39   12     6     12  36       1     0     0     1    5
## 103  900    40  86  28   12    17     15  37       1     0     0     1    5
## 104  625    40 110  32   12    18      0  35       1     0     0     1    4
## 105 1586    40  92  47   14    16      1  36       1     0     1     1    4
## 106  962    40  85  41   10    15     16  38       1     0     0     1    1
## 107 1539    45 120  36   17     7      8  34       1     0     0     1    1
## 108 1110    52 106  42   12    11      6  33       1     0     0     0    5
## 109 1282    45 112  41   16     6      6  31       0     0     1     1    2
## 110  770    48  91  39   12    13      2  38       1     0     0     1    1
## 111 1000    45  90  42   12    16      0  38       1     0     0     1    6
## 112  895    40  86  39    9    17     16  38       1     1     0     0    2
## 113 1205    40  86  32   10    13      0  32       1     1     0     1    5
## 114  750    40 113  27   12    11     10  29       1     0     0     0    1
## 115  654    50 111  51   13     5     16  38       1     0     0     1    3
## 116  601    48 111  30   12    15      3  33       1     0     0     1    0
## 117  600    40 106  32   13    10     11  28       1     0     0     1    6
## 118  433    40  98  28   12    11     10  30       0     0     0     1    1
## 119 1188    40 105  28   12    11      7  30       1     0     0     1    3
## 120  635    40 105  29   12    15     15  33       1     0     0     0    2
## 121 1225    40 118  44   13     9     14  32       1     0     0     1    0
## 122 1151    45  90  38   12    19     19  36       1     0     0     1    1
## 123  865    40  95  34   12    15     11  32       0     0     0     1    3
## 124 1031    40 112  24   14     9      5  29       1     0     0     1    4
## 125 1049    55 120  39   12     9     11  32       1     0     0     1    3
## 126 1000    45 123  41   12    12      1  29       1     0     0     1    3
## 127 1105    40 103  32   13    10     11  30       1     0     0     1    1
## 128 1924    50 121  40   18    11      7  35       1     0     0     1    3
## 129 1346    40  90  44   16     9     16  38       1     0     0     1    1
## 130  809    65 125  32   12    11     10  29       1     0     0     1    0
## 131 1495    45 109  34   18    10      3  32       1     0     0     1    3
## 132 1346    50 128  46   16    10      1  33       0     0     0     0    3
## 133 1200    40  97  35   12    10      4  31       1     0     0     1    3
## 134  500    40  96  35   12     6      0  33       1     0     1     1    4
## 135 1325    45  97  44   12    12      5  28       1     0     0     1    1
## 136  900    40  78  21   12    16      5  33       1     1     0     1    4
## 137  800    40 112  39   12    15      3  34       1     0     0     1    6
## 138  800    40  88  32   12    16      7  38       1     0     0     1    3
## 139 1034    40  97  39   12    15     16  36       1     0     0     1   14
## 140  980    40 101  41   12     4     12  36       1     0     0     1    1
## 141  884    40 106  42   10    19     12  34       1     0     0     1    2
## 142  480    40  59  28   10    11      5  34       0     0     0     1    0
## 143  923    40 105  54   18     7     14  34       1     0     0     1    1
## 144  513    45 119  30   17     8      5  31       0     0     0     1    1
## 145 1105    40  93  36   11    17     16  37       0     0     0     1    2
## 146 1193    50  82  38   12    19     10  36       1     0     1     1    0
## 147 2771    50 134  45   18     6      7  34       1     0     0     1    4
## 148  779    40  84  29   12     9      6  30       1     0     0     1    0
## 149  950    60  98  36   11    13      6  31       1     0     0     1    2
## 150 1394    40 118  41   16    11      8  30       1     0     0     0    2
## 151 1495    45 113  50   17    13      9  33       1     0     0     1    3
## 152  650    40 100  18   12     4      3  28       1     0     0     1    6
## 153  670    40  93  27   13     9      5  29       1     0     0     1    2
## 154 1126    40 119  30   16     5      8  32       1     0     0     1    1
## 155  450    64  67  19   12    11      1  33       0     1     0     1    6
## 156 1028    40 111  28   12    19     12  37       1     1     1     1    3
## 157 2404    50 106  38   15     8      0  32       1     0     0     1    2
## 158 1899    40 127  49   18     9     14  36       0     0     0     1    0
## 159  757    40 113  35   16    10      9  33       1     0     0     1    2
## 160 1250    40 115  36   14     9      1  29       1     0     0     1    2
## 161 1162    48 102  40   16     8     11  31       1     0     0     1    3
## 162 1025    40  85  29   15     9     13  29       1     1     0     1    6
## 163 1100    50 117  51   16    11     12  32       1     0     0     0    0
## 164  714    35 125  34   16     7      5  28       1     0     0     1    4
## 165 1318    35 118  47   16    16     17  37       1     0     0     0    1
## 166 1411    45 121  40   18    14      3  38       1     0     0     1    3
## 167 2162    40 115  51   17     4      4  38       1     0     0     1    1
## 168 1273    55 120  44   14    11     16  36       1     0     0     0    1
## 169 1140    48 109  43   12    16     15  35       1     0     0     1    2
## 170  578    40 109  28   13     7      4  30       0     0     0     1    1
## 171  942    40  85  36   12     7     10  38       1     0     0     1    4
## 172 1058    40  85  50   12    17      8  38       1     0     0     0    4
## 173  750    40 106  32   14     9      9  29       1     0     0     1    1
## 174 1000    60 101  30   12    11      6  30       1     0     0     1    3
## 175  951    60 116  40   12     9      7  30       1     0     0     1    4
## 176  635    47  91  24   12    13      2  31       1     0     0     1    2
## 177 1250    40  91  28   12    13      1  34       1     0     0     1    3
## 178  675    40 110  34   12     6     15  34       1     0     0     1    2
## 179  400    40  75  33   12    11      6  32       1     0     0     1    4
## 180  577    50  94  17   12     9      8  29       1     0     0     1    2
## 181  590    40 109  27   13    10      7  29       1     0     0     0    2
## 182  923    50 122  38   16    10     10  31       1     0     0     0    1
## 183 1250    50 102  26   12     6      2  32       0     0     0     1    4
## 184 1100    40 122  38   14    11      8  33       1     0     0     1    2
## 185 1130    50 105  38   12    18      2  37       1     0     0     1    4
## 186  652    50 113  37   12    14      4  36       0     0     0     1    1
## 187  618    42 104  34   12     6      2  30       1     0     0     1    3
## 188  962    50 124  43   16     7     14  34       1     0     0     1    2
## 189  529    40 110  31   13    14     11  32       1     0     0     0    1
## 190  817    40  95  37   12    16     14  33       1     0     0     0    2
## 191  962    40 120  39   16     8      9  32       1     0     0     0    0
## 192  840    40 105  39   12    19     15  38       1     0     0     0    3
## 193  866    40 121  30   16     7      4  28       1     0     0     0    1
## 194 2404    50  96  42   14     1      1  36       1     0     0     1    5
## 195 1126    40 110  26   12    16      2  32       1     0     0     1    6
## 196 1160    40  92  32   12     8      8  31       1     0     0     0    4
## 197  723    40  98  34   12    15      5  38       1     0     0     1    1
## 198 1778    40 109  43   16    14     13  36       1     0     0     1    0
## 199 1903    48 118  44   18    13      5  36       1     0     0     0    0
## 200 1010    40  97  42   18     7     14  34       1     0     0     1    4
## 201  971    40  95  42   17     5     11  37       1     0     0     1    1
## 202  525    40  99  40   12     9      2  34       1     0     0     1    2
## 203  525    40 106  31   12    12     13  30       1     0     0     0    1
## 204  670    45 117  33   12    10      3  30       1     0     0     0    5
## 205  500    45  90  47   12    19      4  37       1     0     0     0    0
## 206 1058    45  98  45   14    14     15  34       1     0     0     0    2
## 207  550    46  95  44   12    18     15  35       1     0     0     1    1
## 208  500    45 115  43   12    14      1  32       1     0     0     1    1
## 209  727    55 106  40   15    10      5  31       0     0     0     1    1
## 210  865    40 114  26   12     6      8  30       1     0     0     0    2
## 211 1081    40  92  34   13     8      2  30       1     0     1     1    3
## 212 1304    45 119  36   17     9      9  31       1     0     0     0    1
## 213  575    40  85  32   13     6      1  30       1     0     0     0    1
## 214  623    45  98  34   16     7      1  30       1     0     0     0    3
## 215  515    45 114  30   13     8     10  28       1     0     0     0    3
## 216 1273    55  84  42   18    14      4  37       1     0     0     1    1
## 217  990    40 108  42   13    13      9  33       1     0     0     0    4
## 218  600    40 107  32   12    16      6  33       1     0     0     0    5
## 219 1160    40  84  35   12    17      2  38       1     0     0     0    4
## 220  500    55  86  22   12    11      9  29       1     0     0     0    5
## 221  795    45  88  27   12    17     18  35       1     0     0     0    2
## 222  500    50  97  34   11    20      3  37       1     0     0     0    2
## 223  740    50  84  31   10    23     13  38       1     0     0     0    5
## 224 1250    40 117  45   16    10      7  33       1     0     0     1    1
## 225 1014    55 110  42   16    13      9  30       0     0     0     1    1
## 226 1250    32 104  32   13    13      3  33       1     0     0     1    3
## 227  913    40 110  26   14     4     13  29       1     0     0     1    3
## 228 1346    40  99  33   16     9      8  30       1     0     0     1    2
## 229  445    40  80  31   10    19      0  38       1     0     0     0    5
## 230  265    40 101  43   12    18      2  37       1     0     0     1    1
## 231 1250    40 117  31   14     7      1  28       1     0     0     1    1
## 232 1607    56 108  41   13     7      9  36       1     0     0     1    2
## 233 1452    35  69  33   16    12     15  38       1     1     0     1    7
## 234 1391    50 109  38   12    14      8  32       1     1     1     1    1
## 235  821    45  85  39   16     8      2  32       1     0     0     1    5
## 236  794    40 114  36   16     9      7  29       1     0     0     1    1
## 237  500    30  90  46   13    10      1  38       1     0     0     0    4
## 238  520    50 107  30   18     6      3  29       1     0     0     0   10
## 239 1730    50 117  41   18    12     12  37       1     0     0     1    1
## 240 1924    50 112  47   18     9     10  38       1     0     0     1    6
## 241 1155    60 106  46   18    10      2  37       1     0     0     1    3
## 242 2162    40 116  38   15     9      4  31       1     0     0     1    2
## 243  923    50 123  44   14     8      7  31       1     0     0     1    1
## 244 1115    40 118  40   16    12     13  33       1     0     0     1    1
## 245  449    36  91  20   12     7      2  30       0     0     0     1    1
## 246 1500    40 103  29   12    10     11  34       1     0     0     1    2
## 247  826    40 114  40   14    20      3  37       1     0     0     1    4
## 248  937    40 102  36   12    16      8  35       1     0     0     1    3
## 249  978    48 104  36   12    19     15  36       1     0     0     1    5
## 250 1031    40 112  43   14    14     12  33       0     0     0     1    6
## 251 1272    40 107  39   12    10      1  30       1     0     0     1    4
## 252 1136    50 117  36   14    16     12  34       1     0     1     1    2
## 253  800    45 110  36   12    19     12  36       1     0     0     1    7
## 254 1339    38  96  42   12     8      9  33       1     0     0     1    0
## 255 1063    40  90  38   12    14     12  32       1     1     0     1    2
## 256  935    44  97  27   12    10      6  29       1     0     0     1    2
## 257  808    40  99  40   12    18     13  38       1     1     0     1    0
## 258  375    40  99  29   10    12      2  30       1     0     1     0    3
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## 651 1442    40 113  36   13    14      8  36       1     0     1     1    2
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## 653  350    40  93  41   12    16      0  33       0     1     1     1    1
## 654  500    40  83  39   12    18     11  36       1     1     1     1    0
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## 659 1105    40 119  32   16     9     10  30       0     0     1     1    5
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## 671  812    40  81  20   10    17     13  34       1     1     1     1    2
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## 673  575    40  86  20   10    12      6  33       1     1     1     1    8
## 674  450    40  79  23   10    20      5  36       1     1     1     1    7
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## 678  726    45  93  32   12    16      5  36       1     0     1     0    5
## 679  500    40  69  18    9    21     13  38       1     1     1     1    8
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## 681  393    48  92  37   12    15     16  38       1     0     1     1    1
## 682  600    40 127  44   12     8      3  28       0     0     1     0    2
## 683  962    50 109  44   12    21     12  37       1     0     1     0    0
## 684  962    40  97  42   12    15      4  34       1     0     1     0    5
## 685  865    40  66  30   11    10      7  30       1     0     0     1   14
## 686 1154    50 109  46   16    10      3  35       1     0     1     1    2
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## 688  732    40 104  36   12    10      7  36       1     0     1     1    1
## 689  865    40  85  44   13     4      9  34       1     0     1     1    3
## 690  700    40  81  26   12    13     13  31       1     0     1     0    5
## 691  975    40  87  12    9    20     10  37       1     0     1     0    3
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## 693  900    40  54  37   14    12      3  31       1     0     1     1    2
## 694  829    40  98  33   12    15     15  36       1     0     0     1    4
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## 696  827    40 105  29   16     7      8  30       1     0     0     1    2
## 697  500    44  87  25   13     5      2  31       1     0     1     1    7
## 698 1155    40 117  25   13     9      1  28       1     0     0     1    3
## 699  950    55  85  30   15     8      3  29       0     0     0     1    2
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## 702  533    30  65  21   12     5      1  32       0     1     0     1    5
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## 704  890    60  92  20   14     9      8  32       1     0     0     1    1
## 705 3078    30 107  23   13    11      4  29       1     0     0     1    2
## 706 1539    40 111  41   17    10     13  37       1     0     0     1    3
## 707  508    40  73  38   12     1      1  31       1     1     0     1    1
## 708 1354    40 119  49   17    13      9  35       0     0     0     0    2
## 709 1143    35  97  40   12    21      8  38       1     0     0     1    5
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## 714  926    55  64  22   12    18      0  38       1     0     0     1    4
## 715 1559    40 103  32   12    17     10  34       1     0     0     1    3
## 716 1312    40 118  39   10    14      4  32       1     0     0     1    0
## 717  923    40 118  36   14     8     16  35       1     1     0     1    5
## 718  879    40 118  41   18     1      9  31       1     0     0     1    1
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## 721  550    40  95  20   12     4      1  30       0     0     0     0    3
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## 723  583    48  94  35   14    10      6  37       1     0     0     0    2
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## 725  797    55  90  36   16    11      5  33       1     0     0     1    5
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## 729 1832    40  97  38   12    16      1  36       1     0     0     1    1
## 730  909    40 102  34   12    14      5  33       1     0     0     1    3
## 731 1746    40 131  41   18     9     10  33       1     0     0     1    7
## 732  520    40 126  23   16     8      1  30       1     0     0     1    7
## 733  808    40 107  32   16     6      7  29       1     0     0     0    7
## 734 2137    45 108  45   16    11      2  36       1     0     0     1    2
## 735  692    50  92  49   15     9      3  38       1     1     0     1    0
## 736  931    80 108  40   16     4      1  36       1     0     0     1    4
## 737  812    45 115  46   16    11      3  34       1     0     0     1    1
## 738  866    40 111  44   14    16     14  35       1     0     0     1    1
## 739 1442    40 115  47   12    14      9  36       1     0     0     1    7
## 740  500    40 101  31   14    12      0  32       1     0     0     0    2
## 741 1384    50 114  48   18    12      2  37       1     0     0     1    1
## 742  528    55 116  40   18     5      9  30       1     0     0     1    4
## 743  881    40  90  41   12     4     14  36       1     0     0     0    2
## 744 1026    45 125  33   12    11     11  28       1     0     0     1    3
## 745 1212    40  98  26   12    11     12  28       0     0     0     1    4
## 746 1620    38 111  42   15     8      5  29       1     0     0     0    1
## 747 1843    48 109  38   16    11      2  32       1     0     0     1    3
## 748 1602    60 124  36   16    12      2  37       1     0     0     1    1
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## 751 1699    40  96  19   12    10      1  29       0     0     1     1    2
## 752 1699    40 100  40   12    11      9  33       1     0     0     1    1
## 753 1025    48 104  30   14     6      5  32       1     0     0     1    2
## 754 1107    40 112  38   12    12      5  38       1     0     0     1    5
## 755  625    40  73  24   11     1      1  31       1     0     0     1    3
## 756  720    50 101  39   13     1      7  29       1     0     0     1    4
## 757  855    40  99  44   12    19     10  36       1     0     0     1    1
## 758 1250    40  95  23   12    12      2  32       1     0     0     1    2
## 759 1130    40 109  40   18     4     13  38       1     0     0     0    1
## 760  900    40 110  35   12     6      1  28       0     0     0     1    1
## 761 1924    50  98  49   17     6      7  38       1     0     0     1    1
## 762  962    40 112  46   15     8      2  37       1     0     0     1    2
## 763 1874    48  64  37   11    22      3  38       1     1     0     1    7
## 764 1573    55  90  28   12     5      3  30       1     0     0     1    4
## 765  940    45 102  46   14    11      7  36       1     0     0     1    1
## 766  900    40 119  39   16     8      9  30       1     0     0     0    1
## 767  882    44  96  34   12    15     13  31       1     0     0     0    6
## 768 1710    45 118  40   18    12     12  38       1     0     0     1    1
## 769 1260    45  79  39   12    19     15  37       1     0     0     0    3
## 770  751    40  96  42   12     9      7  38       1     0     0     0    1
## 771 1097    50  80  27   11    12     12  28       1     0     0     0    5
## 772 1001    48 137  36   13    11     11  33       1     0     0     0    5
## 773 1154    40 116  42   15    11     12  34       0     0     0     0    2
## 774 1000    43  69  31   12    15     16  35       1     0     0     1    4
## 775 1250    40  78  36   12    16      3  33       1     0     0     1    9
## 776  857    65  99  41   12    18      3  38       1     0     1     1    2
## 777 1211    27  92  33   12    13      3  31       1     0     0     1    3
## 778  937    32 113  23   16    12      7  29       1     0     0     1    3
## 779  904    50  98  29   13     7      1  33       1     0     0     1    5
## 780  872    45 115  30   15     7      4  29       1     0     0     1    3
## 781 1200    40  96  26    9    18      0  34       1     0     0     1    4
## 782 1261    40 117  41   17     1      9  35       1     0     0     1    4
## 783  950    40  96  38   12    14      2  35       1     0     0     1    1
## 784  115    50 108  46   12     9      3  29       1     0     0     1    5
## 785  673    40  92  34   17     6      4  31       1     0     0     1    5
## 786 1084    45  95  38   15    17     10  37       1     0     0     1    1
## 787 1058    40  94  40   14    13     14  34       1     0     0     1    0
## 788  800    40 115  38   12    20     12  38       1     0     0     0    7
## 789  369    40 117  36   18    11      1  31       0     0     0     0    3
## 790 1924    40 105  42   16    14     13  36       1     0     0     0    0
## 791  855    40 109  36   12    17     15  36       1     0     0     0    3
## 792  864    40  87  38   12    15      6  31       1     0     0     0    1
## 793 1092    44 110  34   16    15     13  36       1     0     0     1    4
## 794 1025    40 110  30   16     9      4  30       1     0     0     0    3
## 795  850    35 109  32   12    11      2  31       1     0     0     0    2
## 796  673    40  85  21   12    17     10  35       1     0     0     0    2
## 797  800    40 105  42   14    12     12  37       1     0     0     0    3
## 798 1049    44 122  39   16     7      3  33       1     0     0     0    3
## 799  884    40 108  40   17     9     11  35       1     0     0     1    3
## 800  800    40 122  38   16    10      2  31       0     0     1     1    3
## 801 1200    40  79  32   17     9      9  32       1     0     0     1    0
## 802  664    40 105  30   12     8     10  29       1     0     0     1    7
## 803 1111    45  90  47   12    18     18  37       1     0     0     1    6
## 804  850    43 111  38   16     8      8  34       1     0     0     1    4
## 805 1000    40 110  42   12     6     12  37       1     0     0     1    5
## 806  875    40  92  32   12     8      4  29       0     0     0     1    4
## 807 1202    40 131  32   16    10      2  33       1     0     0     0    3
## 808  666    40 104  32   12    10      2  29       1     0     0     0    2
## 809  923    40 110  39   16    15     11  37       1     0     0     0    2
## 810  788    40  99  20   12    10     10  28       1     0     1     1    4
## 811  950    40  86  31   10    23      5  38       1     0     1     1    9
## 812 1442    40 105  42   12     9     16  37       1     0     1     1    3
## 813  866    40  85  26   12    11     12  30       1     1     1     0    8
## 814  625    40  72  34    9    17      5  34       1     0     1     0   10
## 815  680    40  86  35   12    13      9  32       0     0     1     0    6
## 816  693    40  68  38   12    11     19  35       1     0     1     0    5
## 817  875    36  95  22   12    16      2  38       0     1     1     0    8
## 818 2308    40 116  42   17     8      2  38       1     0     0     0    6
## 819 1196    45  96  45   14    10      4  32       1     0     1     0    2
## 820  700    38  85  36   12    13      8  32       1     1     1     1    6
## 821  721    40 100  32   12     8      8  29       1     0     1     1    3
## 822 1500    40 101  38   13    13      2  32       1     0     1     1    5
## 823 1050    50  97  31   15     4      9  31       1     1     1     1    2
## 824  801    48 100  30   14     6     10  29       1     1     1     1    2
## 825  640    23  96  39   12     7      3  31       0     1     1     1    5
## 826 1198    32 117  39   16     7      9  30       1     0     1     1    1
## 827  390    55  93  38   12     4      2  32       1     0     1     1    1
## 828  889    36 116  37   12    12     11  28       1     0     1     1    1
## 829 1076    38 106  42   12    19     20  36       1     0     1     1    1
## 830 1127    40  98  45   12    17     12  36       1     0     1     1    1
## 831  750    50 103  36   15     1      1  37       1     0     1     0    1
## 832  855    40 118  41   14     6     14  33       1     0     1     0    3
## 833  525    40 100  22   13     5      1  31       1     0     1     0    1
## 834 1104    54  96  39   12    11      4  29       1     0     1     0    1
## 835  553    40  67  22   12    11     10  30       1     1     1     0    7
## 836  800    43  96  27   12    10      1  29       1     0     1     0    1
## 837 1384    50 104  42   13     8      7  31       1     0     1     0    3
## 838  425    30 106  34   17     8      0  36       0     0     1     0    0
## 839  510    54  62  34   11    13      4  33       0     1     1     1    7
## 840  370    32  73  31   12    13      2  31       1     1     1     0    9
## 841  596    40  62  26   12    16     14  33       1     1     1     0    9
## 842  402    40  76  28   12     9      4  28       1     1     0     1    4
## 843  418    40  76  26   12    12      2  31       1     1     1     0    0
## 844 1133    40 106  44   16    13     10  36       1     0     1     0    1
## 845  681    40  94  24   12    18     15  35       0     0     1     1    4
## 846  950    40  81  29   11    16      5  35       1     0     1     0    3
## 847  600    40  87  15   10    20      7  36       1     0     1     0    0
## 848  661    40  96  25   13     8      6  29       0     0     1     0    3
## 849  925    40  75  27   12    12      9  30       1     0     1     0    2
## 850  550    40  95  34   12    14     13  31       1     0     1     0    0
## 851  606    40  86  19   11    13     11  30       1     0     1     0    4
## 852  425    40  86  17   10     7      1  30       1     0     1     0    4
## 853  340    50 104  41   14     4      1  31       1     0     1     1    5
## 854  692    50  95  21   12    16      9  34       1     0     1     1    2
## 855  575    40 116  37   12    11      9  29       1     0     1     0    1
## 856  571    40  66  20    9    15     10  33       1     0     1     0    5
## 857  817    40 101  38   16    11      9  32       1     0     1     1    1
## 858  987    40  96  23   12    11      5  29       1     0     1     0    1
## 859  616    55 104  41   12    16     18  35       1     0     1     1    4
## 860 1026    60 105  34   16    12      1  35       1     0     0     1    3
## 861  808    40 106  34   12     4      3  29       1     0     0     1    1
## 862  808    50 101  34   17     8      0  30       1     0     1     1    1
## 863  788    40  96  42   12    13      5  36       1     0     1     1    4
## 864  850    40 105  34   12     6      2  33       1     0     0     1    1
## 865  900    38 106  40   12    10     19  38       1     0     1     1    7
## 866 1418    45 102  44   12    19     20  36       1     0     1     1    2
## 867  260    40  75  35   12    21      0  37       1     1     1     0    3
## 868  662    45  99  27   14     7      2  28       1     1     1     0    6
## 869  562    55  90  46   13     4      1  38       1     0     1     0    1
## 870  562    80 104  30   12    11      5  28       1     0     1     0    1
## 871  357    70 115  37   13     5      2  30       1     0     1     1    6
## 872 1009    40 118  37   16    11     12  32       1     0     1     0    0
## 873 1442    40 108  40   12    17     17  36       1     0     1     1    1
## 874  651    40  76  30   11    11      2  29       1     1     0     1    7
## 875  750    40  50  28   12    14      5  32       1     1     1     0   10
## 876  754    40  55  23   12    13     14  33       1     1     1     0    2
## 877  700    40  73  23   12    17      9  38       1     1     1     0    8
## 878  503    40  84  14   11    11      2  30       0     1     0     1    3
## 879  937    40 104  37   12    14     15  32       1     0     1     0    1
## 880  624    40  92  40   10    18     10  36       1     0     1     0    2
## 881  750    40  83  27   12     4     10  32       1     1     1     0    7
## 882  900    40  98  36   14     1      8  30       1     1     1     0    7
## 883  540    40  70  25   10    12     10  29       1     1     1     0    9
## 884  642    35  87  26   13     9      3  30       1     0     1     0   10
## 885  400    50  96  38   15     6     10  28       0     0     1     0    5
## 886  900    40  80  34   10    15     14  38       1     0     1     0    3
## 887  513    40 104  40   16     8     10  33       1     0     1     0    5
## 888  894    40 104  35   18     7     10  35       1     0     1     0    7
## 889 1282    60  96  24   18     7      5  32       1     0     1     1    4
## 890  485    40  89  24   12    10      9  30       0     0     1     0    4
## 891  325    55 113  39   12    11      5  29       1     0     1     0    1
## 892  769    45 105  29   12    16      5  33       1     0     1     0    4
## 893  618    40  84  39   14     6      8  31       0     0     1     1    7
## 894 1040    48 108  36   12    16     17  35       1     0     1     1    6
## 895  751    40 104  32   12    15      4  34       1     0     1     1    4
## 896  380    50 106  28   12    15     11  30       1     0     1     0    2
## 897  300    24  83  45   12    16      3  37       1     1     1     1    4
## 898  753    46  70  34   10    21      7  38       1     0     1     1    4
## 899 1065    65 104  39   16    10     11  34       1     0     1     1    2
## 900 1070    40  91  42   12    13      1  30       1     0     0     1    1
## 901 1573    55 112  42   18     7      8  34       1     0     1     1    1
## 902  650    40  97  27   10    14      9  30       1     0     1     0    5
## 903  700    45  99  40   12    15      7  32       1     0     1     0    4
## 904  494    40  74  30   12    16      4  34       1     1     1     0    5
## 905  890    48 100  40   12     4      8  31       1     0     1     0    0
## 906  520    40  86  28   10    15     12  31       1     0     1     0    0
## 907  891    40  90  36   12    16     16  32       1     0     1     0    5
## 908  570    50 101  43   12    11     12  30       1     0     0     1    2
## 909 1444    40 109  33   15    11      1  29       1     0     1     1    2
## 910  481    48  98  26   12    14      2  31       0     1     0     1    4
## 911  500    44 107  40   12    21     12  38       1     0     1     0    2
## 912 1473    40 110  48   16    15     15  36       1     0     1     0    1
## 913  803    40 120  35   13     4      1  28       1     0     1     1    3
## 914  962    50  97  34   16     7      2  30       1     0     1     1    0
## 915 1000    44 103  37   12     9      5  29       1     0     1     1    0
## 916  600    40 114  36   16     5      4  30       1     0     1     1    2
## 917  450    40  95  31   11    12      2  30       1     0     1     0    2
## 918  629    60  93  32   12     6      1  30       1     1     1     0    8
## 919  492    60  67  38   12    15      2  34       1     1     1     0    3
## 920 1562    40  97  28   17     7      2  32       1     0     1     1    5
## 921  357    70  97  34   14     6      3  28       1     0     1     0    1
## 922  960    40  83  25   13    14     13  32       1     0     1     1    4
## 923  566    45 104  46   16     5      2  32       1     0     1     0    1
## 924  481    40  82  27   12     9      2  32       1     0     1     0    2
## 925 1442    40 113  45   16     8     10  35       1     0     1     1    2
## 926  645    45  93  39   12    11      3  35       1     0     1     0    7
## 927  788    40 100  23   11    15      6  32       1     1     1     0    5
## 928  644    42 101  38   12    11      5  33       1     0     1     0    4
## 929  477    45 100  33   12     9      3  31       1     0     1     0    3
## 930  664    60  82  30   16    10      9  34       1     1     1     1    3
## 931  520    40  79  28   16     6      1  30       1     1     1     0    0
## 932 1202    40 102  32   13    10      3  31       1     0     1     1    7
## 933  538    45  77  22   12    12     10  28       1     1     1     0    9
## 934  873    44 109  25   12    12     12  28       1     0     1     0    1
## 935 1000    40 107  32   12    17     18  35       1     0     1     0    5
##     brthord meduc feduc    lwage
## 1         2     8     8 6.645091
## 2        NA    14    14 6.694562
## 3         2    14    14 6.715384
## 4         3    12    12 6.476973
## 5         6     6    11 6.331502
## 6         2     8    NA 7.244227
## 7         2     8     8 6.396930
## 8         3     8    NA 6.985642
## 9         3    14     5 7.050990
## 10        1    12    11 6.907755
## 11        1    13    14 6.835185
## 12        2    16    NA 6.825460
## 13       NA    12    12 6.802395
## 14        1    10    10 7.183871
## 15        1    12    12 7.491087
## 16        2     6     8 6.864848
## 17        3    12    10 7.215240
## 18        3    10     8 6.745236
## 19        1    12    NA 6.721426
## 20        2     8    NA 6.154858
## 21        1    12    NA 7.150702
## 22        1    12    12 7.387090
## 23        1    10    10 6.771935
## 24        1    12    12 7.667158
## 25        1    11    11 6.959399
## 26        1    16    16 7.379008
## 27        1    12     8 7.080027
## 28        1     8     8 6.684612
## 29        1    13    12 7.256297
## 30        1    16    16 6.453625
## 31        1     8    NA 6.907755
## 32        1    12    12 7.261225
## 33        2    12    12 7.889084
## 34        1    18    18 6.501290
## 35        1    17    14 7.483807
## 36        3     8    NA 6.661855
## 37       NA    12     8 7.360104
## 38        1    15    12 7.149917
## 39        2    13    12 6.570883
## 40        1    12    12 6.985642
## 41        1     8     7 6.539586
## 42       NA    12     8 7.183871
## 43        3    12    NA 7.122060
## 44        3    10     9 6.934397
## 45        2    14    15 7.466228
## 46        2    12    NA 6.888573
## 47        1    12    12 6.646390
## 48       NA    12    12 7.050990
## 49        2    12    NA 7.051856
## 50        2    12    10 6.694562
## 51        1    12    12 7.003066
## 52        1    12    12 7.050990
## 53        1    12     9 7.466799
## 54        1    12    11 6.907755
## 55        3    12    NA 6.135565
## 56        1    11     8 6.645091
## 57        2    17    16 6.774224
## 58        2    12    10 7.226209
## 59        1    12    14 7.280697
## 60        2     6     8 6.684612
## 61        1    12    12 7.466228
## 62        4    12     8 7.048387
## 63        1    12     8 6.733402
## 64        1    12    NA 6.885509
## 65       NA    NA     7 6.870053
## 66       NA     9    11 6.428105
## 67        3    12     9 6.091310
## 68        4    12    NA 6.396930
## 69        2    12    NA 7.219642
## 70        2    12    18 7.404279
## 71        2     8     8 7.282761
## 72       NA    12    16 7.745003
## 73        1    12    16 7.427739
## 74        1    11    11 7.118826
## 75        1    12     9 6.751101
## 76        2    12     6 6.977282
## 77        4    NA    11 6.946976
## 78        2    12    12 6.907755
## 79       NA    14    12 6.514713
## 80        2     7     7 7.003066
## 81        1    12    10 6.903747
## 82        6    NA    NA 6.595780
## 83        3     8     8 7.090077
## 84        1    12    16 7.434848
## 85        5    14    10 6.530878
## 86        2     8    NA 6.625392
## 87        1    NA    12 6.753438
## 88        2    12     8 6.723833
## 89        1    16    16 6.361302
## 90       NA    12    13 6.510258
## 91        1    16    16 7.824046
## 92        1    16    17 6.981006
## 93        3     8     8 6.620073
## 94        1    12    14 7.078341
## 95        4    12    14 6.725034
## 96        4    10     9 6.476973
## 97        1    NA    12 7.130899
## 98        1     9    12 7.022868
## 99        1     9    12 6.762730
## 100       3     9    12 6.694562
## 101       2     8     8 7.169350
## 102       4     9    10 6.805723
## 103       3     8    10 6.802395
## 104       1     9     8 6.437752
## 105       4    12    NA 7.368970
## 106       2     9    12 6.869014
## 107       1     8     8 7.338888
## 108       2    12    12 7.012115
## 109       2    12    12 7.156177
## 110       2    10     8 6.646390
## 111       3    10    12 6.907755
## 112      NA    NA    12 6.796824
## 113       5     8    NA 7.094235
## 114      NA    12    12 6.620073
## 115       3    12     9 6.483108
## 116       1    12    12 6.398595
## 117      NA     8     7 6.396930
## 118       1    12    11 6.070738
## 119       1    12    10 7.080027
## 120       2    10    NA 6.453625
## 121       1    12     9 7.110696
## 122       1    12     8 7.048387
## 123       1     9     8 6.762730
## 124       2    12    12 6.938284
## 125       2    12    10 6.955593
## 126       3    12    10 6.907755
## 127       1    16    15 7.007601
## 128       1    16    18 7.562161
## 129       1    12    12 7.204893
## 130       1    12    12 6.695799
## 131       1     9     8 7.309882
## 132       1    10     9 7.204893
## 133       1    12    12 7.090077
## 134       4    12    12 6.214608
## 135       2    12     8 7.189168
## 136       1     7     6 6.802395
## 137       4     7    NA 6.684612
## 138       2     2     5 6.684612
## 139      10    14    11 6.941190
## 140      NA     6     9 6.887553
## 141       1     7    10 6.784457
## 142       1     8     6 6.173786
## 143       1    12    12 6.827629
## 144       1    12     8 6.240276
## 145       2     8     8 7.007601
## 146       1    12    NA 7.084227
## 147       3    16    16 7.926963
## 148       1     8    12 6.658011
## 149       1    12    12 6.856462
## 150       1    13    12 7.239933
## 151       3    12     8 7.309882
## 152       2     9    11 6.476973
## 153      NA    12    12 6.507277
## 154       1    12    10 7.026427
## 155       1    11     4 6.109248
## 156       4    12    NA 6.935370
## 157       1    12    12 7.784889
## 158       1    10    NA 7.549083
## 159       1    12    12 6.629363
## 160       2    12    12 7.130899
## 161       2    12    NA 7.057898
## 162       1    14    12 6.932448
## 163       1    12    10 7.003066
## 164       1    10    10 6.570883
## 165       1     8    12 7.183871
## 166       2    12    16 7.252054
## 167       1    12    12 7.678789
## 168       1    12    NA 7.149132
## 169       2    11     6 7.038784
## 170      NA    12    11 6.359574
## 171       5    NA    NA 6.848005
## 172       1    12    NA 6.964136
## 173       2    11    10 6.620073
## 174       1    10    10 6.907755
## 175       5    12     9 6.857514
## 176       2     7     7 6.453625
## 177       1    11     5 7.130899
## 178       1     7    NA 6.514713
## 179      NA     7    12 5.991465
## 180      NA    12     8 6.357842
## 181       2    12    12 6.380123
## 182       2     8     8 6.827629
## 183       2    11     8 7.130899
## 184       3     8    10 7.003066
## 185       2    10    10 7.029973
## 186       2     9     9 6.480044
## 187       2     8    12 6.426488
## 188       2     9    11 6.869014
## 189       1    12     8 6.270988
## 190       1    12    12 6.705639
## 191       1    18    NA 6.869014
## 192       1    12     8 6.733402
## 193      NA    12    12 6.763885
## 194       5     8    10 7.784889
## 195       1     9    12 7.026427
## 196       1    12    11 7.056175
## 197       1     9    NA 6.583409
## 198       1    11    12 7.483244
## 199       1    11    11 7.551187
## 200       5    14    NA 6.917706
## 201       2    16     8 6.878326
## 202       1    10     8 6.263398
## 203       1    10    12 6.263398
## 204       2    12    NA 6.507277
## 205       1    12     6 6.214608
## 206       3    NA    NA 6.964136
## 207       1    12    11 6.309918
## 208       2    12    11 6.214608
## 209      NA    12    12 6.588926
## 210       3     8     8 6.762730
## 211       4    12    10 6.985642
## 212       1    13    12 7.173192
## 213       2    13    12 6.354370
## 214       1    12    12 6.434546
## 215       2    12    12 6.244167
## 216       1     8    12 7.149132
## 217       1    16    16 6.897705
## 218       6     8     4 6.396930
## 219       2    16    12 7.056175
## 220       5    10    12 6.214608
## 221       2    10    12 6.678342
## 222       1    NA    NA 6.214608
## 223       1    NA     9 6.606650
## 224       1    12    14 7.130899
## 225       2    12    14 6.921658
## 226       3     9    NA 7.130899
## 227       4     9    NA 6.816736
## 228      NA    11    12 7.204893
## 229       5    NA    NA 6.098074
## 230       2    NA    NA 5.579730
## 231       2    12    12 7.130899
## 232       1    NA    NA 7.382124
## 233       6    10    10 7.280697
## 234       2    11     9 7.237778
## 235       6     8     8 6.710523
## 236       2    11     9 6.677083
## 237       3    NA    NA 6.214608
## 238       1    12    14 6.253829
## 239       2    12     8 7.455877
## 240       1    16    18 7.562161
## 241       3    14    18 7.051856
## 242       1    12    17 7.678789
## 243       2     8    NA 6.827629
## 244       1     8    NA 7.016610
## 245      NA    NA    NA 6.107023
## 246       3    12     7 7.313221
## 247       4     8     6 6.716595
## 248       2    12     6 6.842683
## 249       6     6    NA 6.885509
## 250       6    14    12 6.938284
## 251       3    12    12 7.148346
## 252       3    12    12 7.035269
## 253       8    NA    NA 6.684612
## 254       1    12    11 7.199678
## 255       2     8    12 6.968851
## 256       2     8     7 6.840547
## 257       1     9     8 6.694562
## 258       2     8     5 5.926926
## 259       1    11    NA 6.285998
## 260       2    11    NA 6.986567
## 261      NA     8    NA 6.835185
## 262       3    12     8 7.051856
## 263       2    11    NA 6.306275
## 264       1    12    12 6.432940
## 265       1    12    12 6.734591
## 266       3     9     5 6.645091
## 267       3    12    NA 6.375025
## 268       1    12    12 7.562161
## 269      NA     8     6 6.964136
## 270       2    12     6 6.033086
## 271       3    16    16 7.091742
## 272      NA    10    14 7.050990
## 273       1    NA    NA 6.975414
## 274       3    12    12 7.091742
## 275      NA    10    16 6.566672
## 276       1    11     9 7.091742
## 277       2     8    12 6.745236
## 278       2    10    12 6.907755
## 279      NA    12     9 6.194406
## 280       1    12    10 6.907755
## 281       5     8     5 6.762730
## 282       1    11     8 7.226209
## 283       4    16    16 7.368970
## 284       1     8    NA 7.379008
## 285       2    12    NA 8.032035
## 286       4    16    14 6.800170
## 287       1    12    12 6.809039
## 288       1     8    10 6.858565
## 289       5     8     9 6.347389
## 290       2     5    11 6.098074
## 291       3     5    11 5.666427
## 292       2    17    13 7.275172
## 293       1     8     8 6.869014
## 294       3    11    11 6.980076
## 295       3    NA    NA 6.812345
## 296       1    11    13 7.130899
## 297       5    NA    NA 6.429719
## 298       9    11    NA 6.923629
## 299       1    11     8 6.684612
## 300       2    12    13 6.956545
## 301       5     8    NA 6.983790
## 302       2    11    12 6.483108
## 303       2    12     8 6.660575
## 304       1    12    15 6.945051
## 305       1    16    18 7.562161
## 306       2    12    12 7.091742
## 307       1    NA    NA 6.501290
## 308       4     8     8 6.807935
## 309       1    12    12 6.791222
## 310       2    16    16 6.705639
## 311       2    12    12 6.699501
## 312       3    14    12 6.357842
## 313       2    12    12 6.628041
## 314       1    NA    NA 6.918695
## 315       1    12    12 7.051856
## 316       4    12    10 6.932448
## 317       3    NA    NA 7.207860
## 318       1     8    10 6.908755
## 319       1    11    NA 6.679599
## 320       2    10    11 7.114769
## 321      NA    NA    NA 6.625392
## 322       3    12    12 6.570883
## 323       4    12    NA 6.907755
## 324       1    14    12 7.633853
## 325       2    14    12 6.815640
## 326       3     8     8 6.396930
## 327       4     9    NA 6.857514
## 328       2    13    12 6.566672
## 329       1    12    12 7.048387
## 330       3    13    12 6.907755
## 331       6     8    NA 6.734591
## 332       2     5     8 5.991465
## 333       1    16     4 7.069024
## 334       1    12    12 7.091742
## 335       3    12    10 7.273787
## 336       2    13    NA 6.287858
## 337       1     9     8 6.660575
## 338       2    11     9 6.620073
## 339       1    12    12 6.734591
## 340       2    11    14 6.551080
## 341       2    12    10 7.204893
## 342       4    10     8 6.684612
## 343       1    16    NA 7.130899
## 344       1    12    12 7.007601
## 345       1     8    10 6.163315
## 346       1    11    12 6.635947
## 347      NA     8     8 6.869014
## 348       3     8     8 6.580639
## 349       1     8     8 6.684612
## 350       1    13    16 6.489205
## 351       1    12    12 7.146772
## 352      NA    12    NA 7.180070
## 353       1    12    11 6.714170
## 354       1    16    12 7.273787
## 355       1    12    14 7.244227
## 356       3    12     8 6.945051
## 357       3     8     7 6.504288
## 358       3     8     8 7.003066
## 359       1    12    10 6.907755
## 360       1    14    NA 6.259582
## 361       3    14    12 7.013016
## 362       3    12     8 6.869014
## 363       3     8     6 6.591674
## 364       2     8    NA 6.536692
## 365       1     9     6 6.917706
## 366       3     8     8 6.396930
## 367       3     8     8 6.390241
## 368       2    NA    NA 6.745236
## 369       3    10     8 6.507277
## 370       5     8     8 6.675823
## 371       3    12     6 7.273787
## 372       1    11     7 6.507277
## 373       1    12    12 6.775366
## 374       4    16    12 6.734591
## 375       1    12    12 6.882438
## 376       1    12    10 7.109062
## 377       3    12    14 6.813445
## 378       2    15    12 6.278522
## 379       1    12    12 6.620073
## 380       1    12    12 7.095064
## 381       3    13     8 6.613384
## 382       3     8     6 6.802395
## 383       4     8    12 7.064759
## 384       4     6    12 6.291569
## 385       1    NA    NA 6.309918
## 386       3    12    12 6.421622
## 387       1    12    12 6.812345
## 388       2     8     8 6.645091
## 389       1    15     8 6.891626
## 390       2    12    NA 6.725034
## 391       2    12    16 6.778785
## 392       3     8     5 6.934397
## 393       1    NA    NA 6.907755
## 394       3    11    11 6.142037
## 395       6    12    NA 7.003066
## 396       1    12    11 6.463029
## 397       2    11     8 6.942157
## 398       7     8     9 7.100027
## 399       4    12    12 6.856462
## 400       1     8    NA 6.843750
## 401       3     2     8 7.130899
## 402       1    12    11 6.373320
## 403       2    12    12 6.541030
## 404       1    12    12 6.331502
## 405       1    12     8 5.926926
## 406       1     6    NA 6.511745
## 407       1    12    10 6.483108
## 408       4     8    NA 6.539586
## 409       1    12    15 7.013016
## 410       2    16    16 7.221105
## 411       2    12    12 7.156177
## 412       2    NA    NA 7.130899
## 413       1    12    10 7.204893
## 414       3    NA    NA 7.261225
## 415       3    12    16 6.749931
## 416       2    12    10 6.788972
## 417       6    10    NA 7.057037
## 418       2    12     9 6.368187
## 419       1    12    13 7.138867
## 420       2     9    12 6.853299
## 421      NA    10    10 7.522941
## 422       3    10    10 7.362010
## 423       2    12    12 6.630683
## 424       2    10     8 7.273787
## 425       2    NA    NA 6.192362
## 426       5     9    10 7.026427
## 427      NA     8     8 6.907755
## 428       1     6     6 6.214608
## 429       2     6     6 7.090077
## 430       4    NA    NA 6.336826
## 431       1    12     8 7.560081
## 432       1    12    12 6.527958
## 433       1    12     7 6.651572
## 434      NA    12     8 5.451038
## 435       3    12    13 6.882438
## 436       3    12    12 7.219642
## 437       3    12    12 7.667158
## 438       1    12    12 6.551080
## 439       2     8    NA 7.090077
## 440       1    12     8 7.057037
## 441       1    12     6 6.591674
## 442       2    10     5 6.620073
## 443       2    NA    NA 6.933423
## 444       1    11    10 7.013016
## 445       3    12    NA 6.437752
## 446       1    10    11 7.090077
## 447       3    12    11 7.340187
## 448       1    13    16 7.050990
## 449       1    14     8 5.736572
## 450       2     7     6 6.413459
## 451       2    12     8 7.466799
## 452       2    12     7 6.907755
## 453       1     9     7 5.857933
## 454       6     4     6 6.639876
## 455       5     6     5 6.672033
## 456       1     8     4 6.706862
## 457       2    11     5 6.167517
## 458       1    12    11 6.843750
## 459       1    12    12 7.649216
## 460       2    10    13 5.857933
## 461       2    12     8 6.845880
## 462       2    10    NA 7.091742
## 463       1    12    NA 6.109248
## 464       4    12     4 6.964136
## 465       5     8     9 6.907755
## 466      NA     7     5 5.762052
## 467      NA     8     8 6.320768
## 468       1    12    11 6.864848
## 469       3     7     4 6.902743
## 470      NA     9    10 7.377759
## 471      NA    12    12 6.406880
## 472       2    11    12 6.236370
## 473       1    12     9 7.252054
## 474       1     8    14 7.204893
## 475       2    12    10 7.327781
## 476       1    12    10 6.980076
## 477       4    10     8 7.090077
## 478       2    11    10 7.227663
## 479       1    13    16 6.773080
## 480      NA    12    16 6.437752
## 481       1    14    10 7.130899
## 482       2     8    11 6.986567
## 483       2     8     8 6.541030
## 484       1    12    11 6.588926
## 485       3    12    14 6.421622
## 486       3    12    NA 6.816736
## 487       1    12    18 6.784457
## 488       3     8     8 6.548219
## 489       3     8    12 6.684612
## 490       1    12    12 6.699501
## 491      NA    12     8 6.907755
## 492       2     8     8 6.308098
## 493       2    11    NA 7.170120
## 494       4     9     8 6.827629
## 495       1    NA    10 7.338888
## 496       2    12    10 6.580639
## 497       1    12    10 6.703188
## 498      10     8    NA 6.396930
## 499       3    11    13 7.003066
## 500       1     9    12 6.964136
## 501       2     9    12 6.869014
## 502       2     8     7 6.070738
## 503       3    NA    NA 6.845880
## 504       1    12    12 7.256297
## 505       1    12     8 6.907755
## 506       4    12     8 6.214608
## 507       4    12    10 6.684612
## 508       3    NA     6 6.641182
## 509       1    11    12 6.620073
## 510       3     8     8 6.309918
## 511       1    NA    NA 6.678342
## 512       6    12     6 6.583409
## 513       2    16    14 6.946014
## 514       2    12     5 5.298317
## 515       3     8    NA 5.991465
## 516       1    12     7 6.354370
## 517       1    12     6 6.745236
## 518       1    10    NA 6.230482
## 519       3    15    NA 7.057898
## 520       1     8    NA 7.089243
## 521       4    16    17 7.146772
## 522       2    11    12 5.857933
## 523       1     7    NA 6.870053
## 524       4    12    12 7.288244
## 525       6     9    12 6.687109
## 526       2     6     6 6.464588
## 527       2    12    10 6.621406
## 528      NA    12    16 6.190315
## 529       1     6     2 7.244227
## 530       2     8    12 6.845880
## 531       1    12    NA 6.763885
## 532       2    12     6 6.514713
## 533       1    13    NA 5.926926
## 534      NA    16    NA 5.783825
## 535      NA    12     5 5.846439
## 536       1     8    12 7.273787
## 537       1     8     2 6.327937
## 538       2    12    12 6.309918
## 539       2    10    NA 6.856462
## 540       1    12    14 6.527958
## 541       1    18    NA 7.186901
## 542       3    NA     3 7.398786
## 543       4     8     7 6.033086
## 544       6     6     6 6.156979
## 545       1     9    NA 6.501290
## 546       2    12    16 7.425954
## 547       5     8     8 6.946014
## 548       6     7    NA 7.130899
## 549       1    12     7 6.633318
## 550       2    12     7 7.050990
## 551       1    14    12 7.379008
## 552       2     7     9 7.273787
## 553       2     8    12 6.762730
## 554       2    NA    NA 6.558198
## 555       1    12    NA 6.907755
## 556       7     9    NA 6.747587
## 557       2    12    12 6.646390
## 558       4    12    12 6.907755
## 559       1    12    12 7.192182
## 560       2    12    17 7.427739
## 561       2     8     8 6.357842
## 562       6     8     3 6.529419
## 563       1    18    18 6.357842
## 564       1    11    12 6.946976
## 565       1    12    10 7.130899
## 566       5     5    NA 6.396930
## 567       5    11    10 6.173786
## 568       3    12    12 6.907755
## 569       2     8     8 6.895683
## 570       1     9     9 6.169611
## 571       3     9     4 6.086775
## 572       6    NA    NA 6.184149
## 573       1    NA    NA 6.558198
## 574       4     9    10 7.346010
## 575       2     6     9 6.866933
## 576       3    12    12 6.907755
## 577       1    15    15 6.437752
## 578       1    12    16 7.204893
## 579       5    NA     8 6.867974
## 580       4    NA    NA 6.171700
## 581       5    11     2 7.090910
## 582       3    NA    NA 7.204893
## 583       3    12     7 7.022868
## 584       2     6    NA 6.297109
## 585       2     7    NA 6.109248
## 586       2    13    16 6.228511
## 587       5    NA    NA 6.304449
## 588       2    NA     6 6.373320
## 589      NA     8     3 6.135565
## 590      NA    NA    NA 6.558198
## 591       2    11    NA 7.356280
## 592       2     8     8 7.398786
## 593       3    16    16 7.156177
## 594       1    12    12 6.320768
## 595       1    11    12 7.090077
## 596       3     3     3 6.751101
## 597       1    11    11 6.959399
## 598       1    12     7 6.907755
## 599       2     8    NA 6.802395
## 600      NA    16    12 7.379008
## 601       1    16    13 6.230482
## 602      NA    12    10 7.313221
## 603       1    12    12 7.427739
## 604      NA    12    16 6.620073
## 605       1    16    16 6.736967
## 606       1    NA    NA 6.013715
## 607       1    12    NA 6.911747
## 608       2    12    10 6.476973
## 609       1    NA    NA 6.694562
## 610       1    12    12 7.667158
## 611       1    12     5 6.634634
## 612       1    11     8 6.645091
## 613       2    NA    NA 5.843544
## 614       1    NA     7 6.204558
## 615       4     4    NA 6.894670
## 616       3     8     5 7.824046
## 617       2    12    NA 7.001245
## 618       1    12     8 7.100027
## 619       2    10     7 6.357842
## 620       3     7     6 5.966147
## 621       1    12    14 7.313221
## 622       2    12    12 6.368187
## 623       6    NA    NA 6.131227
## 624       2     8    NA 6.851185
## 625       2    12    10 7.273787
## 626       2    12     4 7.195187
## 627       1    12    18 7.313221
## 628       1    NA    NA 7.195187
## 629      NA     9    NA 6.551080
## 630       1     6     9 6.880384
## 631       1    10    10 7.678789
## 632       2     7     8 6.680855
## 633       7     7     6 5.991465
## 634       2     9     5 6.922644
## 635       1    12    16 7.463937
## 636       1    11     5 6.445720
## 637       1     6     8 6.098074
## 638       1    12    12 6.492240
## 639       4    12    NA 6.658011
## 640       1    12    12 5.932245
## 641       1     8    NA 6.327937
## 642       2    12    11 7.022868
## 643       4     7     7 6.115892
## 644       2    12     8 7.234177
## 645       1    12    16 7.338888
## 646       5    17    18 7.050990
## 647       4     8     4 6.869014
## 648       2     8    NA 6.582025
## 649       3    10    11 6.173786
## 650       2    17    12 6.694562
## 651       1    12    12 7.273787
## 652       1    12    NA 6.994850
## 653       1    12    NA 5.857933
## 654       1     7    NA 6.214608
## 655       2    16    14 6.933423
## 656       2    13    16 6.357842
## 657       2    12    12 7.195187
## 658      NA    10    NA 6.818924
## 659       1    11    10 7.007601
## 660      NA     9     3 6.813445
## 661       7     1     4 6.907755
## 662       6     3     4 7.056175
## 663       8     3     4 6.908755
## 664       4    NA    NA 6.569481
## 665       1    12    12 6.834109
## 666       1     6     2 5.991465
## 667       3    12    12 7.123673
## 668       1    12    NA 6.970730
## 669      NA    12    12 5.998937
## 670       2    NA    NA 6.845880
## 671       2     8     3 6.699501
## 672      NA     6    10 6.551080
## 673      NA    NA    NA 6.354370
## 674       6    12    12 6.109248
## 675       3     8     6 6.431331
## 676       4     8     6 6.089045
## 677       1    NA    NA 6.437752
## 678       2     6    NA 6.587550
## 679       6     6    NA 6.214608
## 680       1    17    18 6.907755
## 681       1     8     7 5.973810
## 682       2     9    12 6.396930
## 683       1     6    NA 6.869014
## 684       1    10     8 6.869014
## 685       4     0    10 6.762730
## 686       1    16    14 7.050990
## 687       1     4    14 7.234177
## 688       2    NA    NA 6.595780
## 689       3     8     8 6.762730
## 690       6     8     4 6.551080
## 691      NA     5     4 6.882438
## 692       3    12    12 7.170120
## 693       1    12    12 6.802395
## 694       5     8     8 6.720220
## 695      NA    12    NA 6.907755
## 696       1    16    12 6.717805
## 697      NA    12    NA 6.214608
## 698       2    12    12 7.051856
## 699      NA    12    12 6.856462
## 700       5     8    NA 6.551080
## 701       1    12    NA 7.444249
## 702       1    11    12 6.278522
## 703       1    12    12 7.602901
## 704       2     7     7 6.791222
## 705       2    12    12 8.032035
## 706       2    12    16 7.338888
## 707      NA    NA    NA 6.230482
## 708       1    16    16 7.210818
## 709       1    12    12 7.041412
## 710       1    10    10 6.869014
## 711       1    12    12 7.130899
## 712       1     8     8 6.897705
## 713       5    12    12 6.807935
## 714       5     0     2 6.830874
## 715       4     8     8 7.351800
## 716       1    12     8 7.179308
## 717       1     7    NA 6.827629
## 718       2    13    13 6.778785
## 719       1    12    10 6.684612
## 720       3    12    10 6.955593
## 721       4    12    10 6.309918
## 722       1    12    14 7.081708
## 723       1    12    12 6.368187
## 724       1     6     7 7.090077
## 725       2    14    17 6.680855
## 726       2    16    12 7.223296
## 727      NA    12     8 5.886104
## 728       2    12    12 7.146772
## 729       2     8    12 7.513164
## 730       3    12     7 6.812345
## 731       3    12    12 7.465083
## 732       5    12    12 6.253829
## 733       6    12    12 6.694562
## 734       3    12    NA 7.667158
## 735       1     8     8 6.539586
## 736       2    12    12 6.836259
## 737       2    12     8 6.699501
## 738       1    12    12 6.763885
## 739       5    12    12 7.273787
## 740       2    11     6 6.214608
## 741       1    12    13 7.232733
## 742       5    12    12 6.269096
## 743       3    12    NA 6.781058
## 744       1    14    17 6.933423
## 745      NA    12    10 7.100027
## 746       2    10    NA 7.390182
## 747       2    12    NA 7.519150
## 748       2    12    12 7.379008
## 749       2     8    14 6.907755
## 750       4    10    NA 6.602588
## 751       3    12    12 7.437795
## 752       2    12     8 7.437795
## 753       3    NA    12 6.932448
## 754       3    11    12 7.009409
## 755       4    12    12 6.437752
## 756       2    11    11 6.579251
## 757       2    12    12 6.751101
## 758       2    12    12 7.130899
## 759       2    18    15 7.029973
## 760      NA    13    13 6.802395
## 761       1     4    NA 7.562161
## 762       1    12    16 6.869014
## 763      NA    NA    NA 7.535830
## 764       3    11     8 7.360740
## 765       2    12    10 6.845880
## 766       2    12    12 6.802395
## 767       3     8    10 6.782192
## 768       1    12    12 7.444249
## 769       2     9     8 7.138867
## 770       1    10     8 6.621406
## 771       1    12    11 7.000334
## 772       6    12    NA 6.908755
## 773       1    12     9 7.050990
## 774       4    12     8 6.907755
## 775      NA     6     2 7.130899
## 776       1     8     8 6.753438
## 777       2    16    12 7.099202
## 778      NA    16    12 6.842683
## 779      NA    12    NA 6.806829
## 780       1    12    18 6.770790
## 781       3    NA     8 7.090077
## 782       1     6     8 7.139660
## 783       1     8     2 6.856462
## 784       6    10    11 4.744932
## 785       5    16    12 6.511745
## 786       2    16    16 6.988413
## 787       1    15     9 6.964136
## 788       6     7     8 6.684612
## 789       4    NA    NA 5.910797
## 790       1    12    NA 7.562161
## 791       1     7     6 6.751101
## 792       1    12    12 6.761573
## 793       4    13    13 6.995766
## 794      NA    10    12 6.932448
## 795       2    17    NA 6.745236
## 796       2    12    12 6.511745
## 797       2    10    12 6.684612
## 798       3    10    12 6.955593
## 799       2    14     9 6.784457
## 800       3    12     8 6.684612
## 801       1     8     8 7.090077
## 802       6    12    12 6.498282
## 803       3    NA    NA 7.013016
## 804       2    NA    NA 6.745236
## 805       2     8    12 6.907755
## 806      NA    14    14 6.774224
## 807       2    12    12 7.091742
## 808       3    12    12 6.501290
## 809       1    12     7 6.827629
## 810       5    10     3 6.669498
## 811       9    NA     6 6.856462
## 812       4    NA    NA 7.273787
## 813       5     6     0 6.763885
## 814       7     4    NA 6.437752
## 815       1     6     7 6.522093
## 816       2    12     8 6.541030
## 817       9     6    NA 6.774224
## 818       1    12    13 7.744137
## 819       3    10     6 7.086738
## 820      NA     2     8 6.551080
## 821       2    12     4 6.580639
## 822       3    12     8 7.313221
## 823       1    16     9 6.956545
## 824       1    NA    NA 6.685861
## 825      NA    NA    NA 6.461468
## 826       2    12    12 7.088409
## 827      NA    16    13 5.966147
## 828       2     9    12 6.790097
## 829       1    12     9 6.981006
## 830       2    14    12 7.027315
## 831       1    12     9 6.620073
## 832       1    NA    12 6.751101
## 833       1    10    12 6.263398
## 834       2    10    12 7.006695
## 835       2     8     9 6.315358
## 836       1    10    10 6.684612
## 837       1    13    14 7.232733
## 838       1    14    12 6.052089
## 839       6     2    10 6.234411
## 840       2     3     4 5.913503
## 841       8     2     8 6.390241
## 842       2    NA    10 5.996452
## 843       1     9    10 6.035481
## 844       1    12    NA 7.032624
## 845      NA     9    10 6.523562
## 846       4    10     6 6.856462
## 847       1     5     6 6.396930
## 848       2    NA     5 6.493754
## 849       2     6    NA 6.829794
## 850       1     5     5 6.309918
## 851       4     3     7 6.406880
## 852       4     3     7 6.052089
## 853       3     8    18 5.828946
## 854       2     7     5 6.539586
## 855       2     8    12 6.354370
## 856       1     8     6 6.347389
## 857       2     0     5 6.705639
## 858       2    12    12 6.894670
## 859       5     9    NA 6.423247
## 860       1    14    10 6.933423
## 861       2     8     7 6.694562
## 862       2    15    15 6.694562
## 863       1    12    12 6.669498
## 864       1    12     9 6.745236
## 865      NA     3     2 6.802395
## 866       3     8     8 7.257003
## 867       3    NA    NA 5.560682
## 868       1     5     5 6.495265
## 869       1    12    11 6.331502
## 870      NA    12    12 6.331502
## 871       7    NA    NA 5.877736
## 872       1    12    10 6.916715
## 873       1     9    12 7.273787
## 874       7    10    11 6.478509
## 875      NA     3    NA 6.620073
## 876       1    10    NA 6.625392
## 877       3    NA    NA 6.551080
## 878      NA     9     9 6.220590
## 879       2    12     9 6.842683
## 880       3    10     6 6.436151
## 881       1    10     6 6.620073
## 882       2    10     6 6.802395
## 883      NA    10     7 6.291569
## 884      10     4    10 6.464588
## 885      NA    12    NA 5.991465
## 886       3    12    10 6.802395
## 887       2    12    10 6.240276
## 888       8     9     8 6.795706
## 889       2    12    18 7.156177
## 890       3    12    18 6.184149
## 891       2    10    13 5.783825
## 892       1     7     7 6.645091
## 893       8     7     4 6.426488
## 894       7     7     3 6.946976
## 895       3     8     3 6.621406
## 896       1     7     7 5.940171
## 897       1     3    NA 5.703783
## 898       2    12     7 6.624065
## 899       3    11    12 6.970730
## 900       2    14    12 6.975414
## 901       1    14    18 7.360740
## 902       1    12     9 6.476973
## 903       2    10    10 6.551080
## 904      NA    NA    NA 6.202536
## 905       1    NA    NA 6.791222
## 906       1     6    NA 6.253829
## 907       5    12     9 6.792345
## 908       3    12    NA 6.345636
## 909       1    11     9 7.275172
## 910       3    NA    NA 6.175867
## 911      NA    12     7 6.214608
## 912       2    12    14 7.295056
## 913       4    10    12 6.688354
## 914       1    12    12 6.869014
## 915       1    11    NA 6.907755
## 916       1    12    12 6.396930
## 917       3     8     8 6.109248
## 918       3    10     6 6.444131
## 919      NA     8    NA 6.198479
## 920       1    12    13 7.353722
## 921       2    13    16 5.877736
## 922      NA    10    NA 6.866933
## 923       2    12    12 6.338594
## 924       2    12     8 6.175867
## 925       2     8     8 7.273787
## 926       7     7     8 6.469250
## 927      NA     9    NA 6.669498
## 928       3    12    NA 6.467699
## 929       3     7     7 6.167517
## 930       4    16    16 6.498282
## 931       1    11    NA 6.253829
## 932       7     8     6 7.091742
## 933      NA     7    NA 6.287858
## 934       1    NA    11 6.771935
## 935       1    NA    NA 6.907755
mean(wage)
## [1] 957.9455
mean(IQ)
## [1] 101.2824
sd(IQ)
## [1] 15.05264
modelnew<-lm(wage~IQ)
summary(Datanew)
##       wage            hours             IQ             KWW       
##  Min.   : 115.0   Min.   :20.00   Min.   : 50.0   Min.   :12.00  
##  1st Qu.: 669.0   1st Qu.:40.00   1st Qu.: 92.0   1st Qu.:31.00  
##  Median : 905.0   Median :40.00   Median :102.0   Median :37.00  
##  Mean   : 957.9   Mean   :43.93   Mean   :101.3   Mean   :35.74  
##  3rd Qu.:1160.0   3rd Qu.:48.00   3rd Qu.:112.0   3rd Qu.:41.00  
##  Max.   :3078.0   Max.   :80.00   Max.   :145.0   Max.   :56.00  
##                                                                  
##       educ           exper           tenure            age       
##  Min.   : 9.00   Min.   : 1.00   Min.   : 0.000   Min.   :28.00  
##  1st Qu.:12.00   1st Qu.: 8.00   1st Qu.: 3.000   1st Qu.:30.00  
##  Median :12.00   Median :11.00   Median : 7.000   Median :33.00  
##  Mean   :13.47   Mean   :11.56   Mean   : 7.234   Mean   :33.08  
##  3rd Qu.:16.00   3rd Qu.:15.00   3rd Qu.:11.000   3rd Qu.:36.00  
##  Max.   :18.00   Max.   :23.00   Max.   :22.000   Max.   :38.00  
##                                                                  
##     married          black            south            urban       
##  Min.   :0.000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:1.000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :1.000   Median :0.0000   Median :0.0000   Median :1.0000  
##  Mean   :0.893   Mean   :0.1283   Mean   :0.3412   Mean   :0.7176  
##  3rd Qu.:1.000   3rd Qu.:0.0000   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :1.000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  
##                                                                    
##       sibs           brthord           meduc           feduc      
##  Min.   : 0.000   Min.   : 1.000   Min.   : 0.00   Min.   : 0.00  
##  1st Qu.: 1.000   1st Qu.: 1.000   1st Qu.: 8.00   1st Qu.: 8.00  
##  Median : 2.000   Median : 2.000   Median :12.00   Median :10.00  
##  Mean   : 2.941   Mean   : 2.277   Mean   :10.68   Mean   :10.22  
##  3rd Qu.: 4.000   3rd Qu.: 3.000   3rd Qu.:12.00   3rd Qu.:12.00  
##  Max.   :14.000   Max.   :10.000   Max.   :18.00   Max.   :18.00  
##                   NA's   :83       NA's   :78      NA's   :194    
##      lwage      
##  Min.   :4.745  
##  1st Qu.:6.506  
##  Median :6.808  
##  Mean   :6.779  
##  3rd Qu.:7.056  
##  Max.   :8.032  
## 
rm(Datanew, model1, modelnew)
## Warning in rm(Datanew, model1, modelnew): object 'model1' not found
  1. Estimate a simple regression model where a one-point increase in IQ changes wage by a constant dollar amount. Use this model to find the predicted increase in wage for an increase in IQ of 15 points. Does IQ explain most of the variation in wage?
library(wooldridge)
Data4<-wooldridge::wage2
attach(Data4)
## The following objects are masked from Datanew:
## 
##     age, black, brthord, educ, exper, feduc, hours, IQ, KWW, lwage,
##     married, meduc, sibs, south, tenure, urban, wage
mean("wage")
## Warning in mean.default("wage"): argument is not numeric or logical: returning
## NA
## [1] NA
mean("IQ")
## Warning in mean.default("IQ"): argument is not numeric or logical: returning NA
## [1] NA
sd("IQ")
## Warning in var(if (is.vector(x) || is.factor(x)) x else as.double(x), na.rm =
## na.rm): NAs introduced by coercion
## [1] NA
model<-lm(wage~IQ)
summary(model)
## 
## Call:
## lm(formula = wage ~ IQ)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -898.7 -256.5  -47.3  201.1 2072.6 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 116.9916    85.6415   1.366    0.172    
## IQ            8.3031     0.8364   9.927   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 384.8 on 933 degrees of freedom
## Multiple R-squared:  0.09554,    Adjusted R-squared:  0.09457 
## F-statistic: 98.55 on 1 and 933 DF,  p-value: < 2.2e-16
  1. Now, estimate a model where each one-point increase in IQ has the same percentage effect on wage. If IQ increases by 15 points, what is the approximate percentage increase in predicted wage? Answer:An increase of IQ of 15 points will increase Wage by 124.5 points.Also, after running the command for linear regression in r-studio, we get R2=0.094. Variation in IQ explains only 9.4% of variation in Wage. Therefore, variation in IQ doesn’t explain most of the variations in Wage.