Fathers Sons 140 140 142.5 160 142.5 162.5 145 155 145 160 145 157.5 145 167.5 147.5 160 150 150 150 152.5 150 165 150 180 150 157.5 150 152.5 150 152.5 150 157.5 150 170 150 170 150 165 150 150 152.5 162.5 152.5 172.5 152.5 180 152.5 160 152.5 170 152.5 177.5 152.5 155 152.5 162.5 152.5 175 155 150 155 177.5 155 150 155 152.5 155 170 155 162.5 155 162.5 155 152.5 155 160 155 165 155 175 155 165 155 175 155 150 155 157.5 155 170 155 145 155 175 155 160 155 172.5 157.5 177.5 157.5 167.5 157.5 157.5 157.5 162.5 157.5 165 157.5 152.5 157.5 167.5 157.5 170 157.5 162.5 157.5 162.5 157.5 165 157.5 170 157.5 167.5 157.5 157.5 157.5 170 157.5 165 157.5 177.5 157.5 182.5 157.5 165 157.5 175 157.5 172.5 157.5 162.5 157.5 170 157.5 162.5 157.5 162.5 160 175 160 157.5 160 170 160 177.5 160 152.5 160 167.5 160 175 160 157.5 160 177.5 160 170 160 165 160 167.5 160 160 160 167.5 160 172.5 160 157.5 160 165 160 172.5 160 170 160 182.5 160 167.5 160 160 160 160 160 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 162.5 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 165 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 165 165 160 165 165 175 165 180 167.5 167.5 180 170 197.5 170 172.5 170 175 170 175 177.5 165 167.5 170 182.5 177.5 165 165 165 160 160 167.5 160 165 177.5 185 172.5 172.5 172.5 170 175 180 167.5 177.5 175 180 185 170 167.5 167.5 172.5 170 162.5 160 175 167.5 185 180 197.5 177.5 162.5 185 175 182.5 170 175 175 172.5 162.5 160 167.5 182.5 162.5 165 160 165 180 170 175 165 177.5 175 177.5 170 172.5 180 170 185 170 160 167.5 185 177.5 165 167.5 160 170 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 167.5 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 170 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 172.5 175 175 175 175 175 175 175 175 175 175 175 175 175 175 167.5 165 175 172.5 177.5 167.5 185 162.5 162.5 165 160 165 167.5 177.5 172.5 170 172.5 170 180 177.5 160 172.5 165 172.5 167.5 170 182.5 170 167.5 185 152.5 167.5 172.5 170 155 182.5 180 170 170 157.5 152.5 167.5 182.5 175 185 175 170 187.5 182.5 180 175 177.5 177.5 172.5 167.5 167.5 170 175 182.5 175 180 182.5 175 185 175 160 180 175 187.5 177.5 165 165 177.5 180 170 177.5 172.5 170 160 170 172.5 175 187.5 167.5 170 182.5 175 185 175 185 165 157.5 160 167.5 175 190 175 175 175 175 175 175 175 175 175 175 175 175 175 175 175 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 177.5 180 180 180 180 180 180 180 180 180 180 180 180 180 180 180 180 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 182.5 185 185 185 185 185 185 185 185 187.5 187.5 187.5 175 180 180 172.5 187.5 167.5 175 152.5 172.5 175 180 177.5 185 185 160 167.5 187.5 162.5 177.5 177.5 185 185 162.5 177.5 167.5 185 180 180 177.5 172.5 162.5 182.5 180 175 175 175 175 175 180 177.5 157.5 197.5 175 177.5 175 180 177.5 177.5 190 185 185 180 170 177.5 177.5 175 177.5 180 162.5 175 187.5 177.5 185 170 170 182.5 180 175 177.5 170 177.5 172.5 192.5 180 180 177.5 172.5 192.5 180 187.5 190 175 165 177.5 185 170 185 172.5 190 190 165 182.5 172.5 182.5 180 190 187.5 187.5 187.5 190 190 190 195 172.5 172.5 170 175 187.5 182.5 187.5 grade south 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 wage hours 3.260869 18 2.616747 40 3.156198 37 4.180602 40 2.898549 37 4.428341 40 2.777777 5 4.025765 40 4.62963 40 3.10789 25 3.10789 35 4.621576 40 5.06441 40 3.454104 35 6.038648 40 2.787067 30 3.1362 40 3.405797 40 5.90177 40 3.260869 40 3.046594 40 3.711753 38 3.019324 40 6.078904 40 5.636071 40 4.066022 37 2.697261 40 3.344482 40 3.043478 40 4.025765 34 2.697261 40 2.053139 60 4.895329 40 4.025765 40 2.681159 30 3.220612 40 4.750401 38 4.347824 40 8.05153 40 5.852843 30 10.06441 20 4.830918 15 26.79872 60 3.344482 40 6.038648 40 3.4219 13 3.341383 40 11.15941 25 3.357486 66 3.542671 40 6.229095 35 3.808373 40 2.697261 40 3.526568 52 2.926421 40 4.830918 40 2.777777 30 2.383252 37 3.679549 35 4.186793 43 2.697261 30 10.70853 40 9.653782 40 4.025765 40 1.811594 40 2.697261 40 4.180602 40 1.344605 12 3.051839 25 8.05153 25 4.830918 35 4.025765 30 7.447664 40 7.246377 16 3.454104 35 4.355878 37 6.441224 40 3.344482 32 7.149757 39 3.059581 40 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 3.220612 3.043478 6.32045 7.165856 11.07085 3.301126 4.428341 4.935585 4.227053 3.929144 8.872785 3.140096 14.1214 5.06441 7.713361 3.220612 3.663445 7.246377 3.526568 4.227053 2.926421 40.19808 1.892108 5.096617 4.412238 3.808373 5.636071 3.703702 3.919314 5.032206 3.762542 5.668274 6.843801 5.724636 3.019324 3.985505 2.801932 5.032206 5.202526 5.619967 3.344482 4.53301 5.273752 4.53301 5.11272 5.619967 3.623188 6.038648 6.441224 1.004952 5.241545 4.105351 5.636071 3.762542 9.847019 11.6103 6.441224 4.64573 2.938808 7.004828 5.032206 6.038648 5.016723 3.220612 5.684378 11.19565 2.302737 3.360215 4.845827 4.645112 3.065774 4.58937 2.801002 3.344482 3.553512 2.769725 4.227053 3.083194 3.301126 5.233495 2.681159 40 32 50 40 40 40 30 40 20 40 70 40 45 40 40 40 55 40 8 40 12 40 28 40 40 32 40 40 32 40 40 40 40 40 40 40 40 40 9 40 46 40 40 40 40 43 40 40 40 16 43 40 28 40 40 40 40 15 30 20 40 35 40 40 53 28 35 25 54 45 30 40 40 40 35 36 40 40 40 20 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 3.945248 2.697261 3.502414 5.53945 2.938808 5.990337 4.025765 2.898549 5.161031 2.818035 3.019324 4.396134 10.77 2.415459 7.045088 7.246377 13.16424 4.648688 4.025765 6.739127 5.024153 5.998387 3.718949 3.808373 5.016103 7.278577 4.180602 6.578098 3.84863 6.441224 4.090176 3.37359 2.697261 2.697261 2.979065 4.396134 3.239966 4.428341 2.94686 7.125603 4.62963 5.297905 3.140096 2.801002 2.222221 2.58454 12.5 9.406354 10.00805 8.454107 5.016723 5.11272 1.723027 8.148145 6.771333 2.520128 5.685618 8.148145 9.565216 4.227053 6.563544 6.634459 5.032206 9.677936 5.877616 3.526568 4.830918 5.716585 12.75338 8.011269 3.762542 3.051839 3.001791 3.301126 3.623188 2.858293 5.233495 13.55072 4.227053 4.227053 2.777777 40 40 40 40 12 40 30 40 45 40 40 40 40 20 40 30 40 40 40 40 36 40 40 40 20 38 4 40 40 40 25 40 58 60 23 30 40 45 21 40 40 40 30 40 48 35 40 40 37 24 40 40 35 38 48 24 30 38 40 35 37 35 40 40 40 40 40 40 40 40 32 40 24 30 53 40 40 40 40 44 40 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 7.737515 5.016103 5.53945 4.508855 3.220612 5.805152 3.703702 5.861513 2.962962 5.249595 7.962963 6.352657 5.032206 5.032206 4.849998 4.180602 5.748792 5.982284 5.354265 4.347824 2.801002 4.830918 6.36876 6.32045 4.830918 4.479214 2.415459 5.53945 2.697261 3.985505 2.090301 5.434783 3.502414 4.975842 6.449271 4.452495 10.18518 6.843801 2.801002 2.326892 3.099125 5.225441 40.19808 9.462362 5.837359 5.458936 3.172302 6.964568 5.426729 7.447664 4.344736 7.15781 7.809981 6.76328 12.0773 6.32045 5.032206 4.227053 6.038648 5.152977 4.742351 5.53945 4.055183 3.344482 7.351045 3.309176 8.709587 5.797099 6.038648 6.505631 4.315618 8.945245 2.801002 4.180602 5.312786 4.186793 4.163879 3.623188 2.979065 3.743959 3.864734 50 32 40 40 45 40 40 40 40 48 35 38 40 40 40 60 35 60 40 44 18 40 40 40 40 56 70 48 40 35 24 48 40 40 40 17 38 44 24 40 60 40 40 45 40 40 16 40 48 40 40 40 50 33 40 50 40 24 40 40 40 40 40 20 40 62 40 40 40 50 56 45 38 35 35 40 40 40 40 40 40 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 0 1 1 1 0 1 0 0 0 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 0 0 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2.415459 7.045088 3.252816 3.663726 5.265698 1.561996 2.415459 11.73913 6.400963 5.016723 8.083731 4.62963 10.49114 4.180602 10.18518 3.526568 4.428341 5.032206 5.780996 4.404185 5.724636 7.458193 17.69726 10.83736 4.710144 9.726243 10.06441 8.518515 8.49436 5.600358 4.227053 4.64573 9.299514 3.220612 8.164251 8.454107 8.293073 9.677936 4.53301 4.830918 4.694041 9.806758 6.964568 4.259257 3.553512 7.318838 4.863122 2.801002 3.051839 5.636071 8.80837 4.388621 4.492752 5.852843 4.613526 8.80837 4.420288 8.05153 38.70926 9.895326 11.50563 7.962963 6.175522 5.732688 6.280193 3.344482 6.280193 3.486621 3.637123 2.681159 7.037035 3.051839 7.850241 11.04669 3.762542 2.858293 3.099838 6.586145 8.293073 5.032206 6.650957 16 40 40 55 40 70 30 48 40 40 48 30 40 40 38 40 18 55 40 30 38 40 35 40 20 38 40 40 37 40 38 30 20 35 40 40 40 40 40 38 24 40 40 40 20 22 15 46 40 30 32 22 18 25 60 32 35 40 40 36 42 35 40 40 40 20 40 30 40 30 55 30 40 37 30 20 30 32 38 40 22 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 7.246377 12.85024 38.70926 7.528179 3.566825 6.811594 6.344604 5.289855 7.265882 3.553512 4.777829 6.280193 12.58454 4.180602 8.373587 11.0628 9.677936 4.21095 4.180602 10.06441 11.94847 10.06441 7.520126 2.717391 3.623188 5.233495 6.191625 11.6103 16.29629 5.032206 4.421789 16.64251 3.344482 10.18518 6.70692 2.232711 13.26892 9.33172 11.98873 5 3.220612 5.233495 20.12883 4.389632 11.28824 5.982284 7.946856 6.561992 10.06441 6.038648 10.45088 5.016723 6.191625 6.207728 3.4219 10.06441 12.77777 6.688963 5.233495 2.769725 7.624793 39.23074 5.636071 5.233495 4.68599 5.515297 9.967792 7.045088 6.964568 3.218058 5.466986 3.357486 5.225752 2.697261 3.574878 5.096617 3.301126 6.36876 4.025765 6.167471 6.191625 50 40 40 40 40 40 40 20 35 12 35 30 40 40 37 35 40 35 40 40 35 40 35 40 27 40 40 40 38 16 40 40 40 50 60 16 35 37 35 40 35 37 10 35 35 35 38 20 40 40 40 75 50 40 40 40 40 40 20 32 40 40 50 15 40 44 24 40 40 25 40 24 40 48 45 35 35 35 20 32 50 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 0 0 0 1 0 1 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 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 5.265698 3.357486 3.623188 7.246377 10.45088 4.765884 8.655396 2.801002 12.19512 5.936454 4.389632 5.072463 5.032206 4.431437 3.344482 10.48309 5.636071 5.636071 6.843801 5.032206 6.843801 8.977451 6.135265 3.220612 7.337156 6.038648 4.827484 11.11916 4.597423 5.636071 3.357486 5.032206 5.016723 4.428341 2.326892 8.47826 19.35587 4.180602 8.22866 4.598662 6.964568 15.09662 13.32527 7.930756 4.758454 11.83575 6.239936 4.025765 7.431559 6.793478 25.80515 2.874396 4.428341 15.09662 5.072463 9.533008 8.528425 3.502414 7.608693 7.399352 3.762542 3.220612 8.558774 3.4219 4.025765 4.025765 4.186793 6.964568 8.05153 5.852843 22.97034 10.32206 3.344482 5.434783 10.12882 11.27214 3.220612 3.220612 5.925924 8.816422 4.830918 40 12 15 50 40 23 40 23 60 40 40 40 20 40 40 50 20 40 40 40 40 40 50 20 25 40 40 20 35 20 42 40 36 5 40 38 40 10 40 25 20 40 40 40 35 24 40 32 40 40 36 35 26 40 40 38 40 40 40 40 5 40 40 40 40 3 40 40 30 28 70 60 33 40 40 40 20 30 40 40 40 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.58132 3.663445 38.70926 6.336553 4.180602 5.104667 4.782608 12.00768 8.05153 4.911432 2.801002 11.88405 5.434783 6.441224 4.413701 9.197324 4.388082 5.611914 4.887279 6.714973 4.827484 5.852843 4.703177 5.410626 3.397743 3.703702 4.669887 3.344482 4.750401 2.491696 4.549112 3.985505 6.688963 3.344482 3.220612 4.227053 3.719806 2.657004 3.985505 9.734298 6.779387 6.578098 4.830918 5.016723 2.801002 3.344482 5.917873 5.072463 3.099125 2.801002 2.818035 4.750401 3.582928 3.623188 8.446053 17.66505 5.249595 6.884055 5.636071 7.351045 5.273752 3.79227 11.15137 4.669887 5.861513 10.62802 11.85185 4.790658 4.726247 2.777777 3.584229 2.090301 3.260869 3.019324 7.21417 6.481478 6.191625 7.528179 5.418679 5.636071 3.220612 40 40 40 40 15 23 32 40 40 40 40 43 15 40 35 16 40 40 40 40 40 50 40 32 36 40 20 40 40 5 40 45 10 3 24 8 40 35 20 50 40 40 40 32 40 30 38 30 60 30 32 37 20 15 55 40 23 45 40 40 50 35 40 32 40 48 48 40 35 20 15 40 26 40 24 46 45 40 40 40 33 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 5.418679 9.613523 5.805152 1.680601 6.988722 5.032206 11.53784 3.623188 20.64412 6.803541 2.012882 5.434783 9.677936 8.05153 11.6103 8.05153 6.688963 10.99839 5.555554 6.76328 40.19808 6.505631 5.636071 13.6876 7.178227 3.623188 2.785829 3.864734 1.610306 3.872784 12.0773 3.542671 5.434783 40.19808 2.785829 7.734114 8.361203 5.024153 3.623188 7.286631 5.869563 7.246377 5.998387 7.028982 6.038648 4.428341 3.510896 5.032206 10.83736 3.260869 5.917873 2.818035 6.70692 7.922703 8.067631 4.025765 3.051839 2.858293 4.63768 4.025765 5.378419 3.637123 4.235104 3.4219 3.293073 7.946856 10.40258 8.067631 7.117549 4.476648 4.428341 5.032206 2.012882 7.745568 5.185184 38.70926 5.032206 5.032206 9.057972 4.17069 8.687595 40 44 8 30 40 40 40 35 30 40 25 40 40 30 40 40 15 48 40 22 40 38 30 8 56 30 40 15 7 40 40 24 50 40 20 40 20 40 25 39 24 40 47 50 40 20 55 40 50 37 2 5 36 40 40 7 40 40 46 20 38 20 38 10 33 40 48 48 40 40 24 40 40 40 32 40 40 40 40 30 40 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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 1 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 2.801002 6.638795 6.843801 6.481478 6.247986 6.191625 8.615135 8.34138 5.507244 4.58937 7.914649 3.341383 5.805152 4.830918 9.251205 5.828724 8.904991 15.29791 3.310275 4.180602 5.273752 4.096988 5.579708 10.21739 5.595811 10.781 7.616746 3.768113 3.784217 12.88245 4.661833 5.016723 5.032206 6.280193 5.233495 6.270903 3.574878 5.016723 5.837359 5.225752 3.019324 8.856684 7.906601 10.83736 14.59742 4.887279 8.856684 5.475039 4.830918 3.446084 4.508855 9.259259 2.012882 10.4515 7.745568 10.32206 5.022486 7.107024 7.318838 3.553512 6.843801 11.61835 8.132044 7.439612 3.718949 4.827484 4.259257 5.579708 5.805152 4.830918 4.025765 6.400963 6.441224 3.961351 6.964568 4.025765 6.191625 8.05153 10.59581 8.570235 3.001791 29 4 50 45 40 40 40 38 40 25 40 30 40 50 40 40 40 40 35 30 40 24 15 40 45 40 40 39 15 2 30 40 44 40 40 20 45 40 40 40 40 40 40 40 40 35 32 35 40 15 35 40 3 40 38 45 20 40 40 40 35 40 40 15 50 40 40 40 40 40 40 40 32 25 40 20 40 50 38 24 6 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 11.98068 4.025765 2.787067 10.18518 12.27858 4.025765 7.665055 6.610305 5.297905 6.876001 4.025765 5.990337 7.230271 2.697261 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8.904991 6.199676 8.904991 3.285022 7.004828 5.351169 3.824476 40.19808 10.95813 13.40579 10.46699 7.906601 11.28824 10.86957 9.259259 16.25603 8.05153 15.09662 4.289296 4.827484 40.74659 4.389632 8.575592 4.838968 5.458936 9.567145 8.57859 11.35266 9.782605 7.045088 6.787434 6.814376 4.64573 7.439612 11.49759 40 40 15 38 40 40 42 40 40 40 40 32 40 24 40 40 50 40 40 40 4 32 45 40 18 24 40 30 40 40 16 40 50 50 40 38 35 40 40 40 40 38 37 45 40 40 40 60 40 24 22 20 40 40 24 32 40 40 48 40 40 40 20 40 40 40 38 50 60 40 39 40 45 40 38 40 40 17 80 40 24 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 8.454107 11.26409 13.26923 9.114332 9.057972 9.29146 8.091784 8.904991 7.439612 10.17713 25.80515 10.90982 8.816422 12.77777 10.46699 11.07085 6.191625 8.518515 3.502414 4.025765 25.16103 11.10854 10.06441 10.86151 7.520126 9.307566 4.827484 16.79548 9.790657 35.73162 4.025765 9.847019 5.032206 8.317226 13.08374 12.56039 6.682766 4.025765 18.06763 5.805152 11.6103 3.31723 8.05153 9.891299 23.24476 12.22222 15.78904 29.72623 4.750401 8.518515 7.318838 23.82447 6.545891 8.413847 16.52979 5.515297 11.40902 11.6264 12.38325 8.599029 10.32206 1.545893 5.611914 9.661837 20.78905 8.904991 1.837627 8.691476 7.938803 15.09662 9.677936 8.05153 4.315618 9.911431 22.36715 10.06441 6.857069 13.85668 7.60109 8.260865 13.26892 25 55 40 40 40 40 40 40 50 40 30 40 25 40 40 40 40 40 40 40 40 40 40 40 35 25 40 16 40 45 8 37 40 35 40 45 40 15 30 40 40 14 40 55 40 38 40 50 40 40 40 65 40 40 40 39 38 45 25 45 60 50 40 24 35 40 35 37 40 20 40 50 28 40 45 40 35 38 55 48 35 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 5.763689 9.621575 13.00322 3.099838 9.339773 5.032206 11.69887 6.170566 9.782605 15.8132 18.58292 5.837359 6.964568 6.70692 8.357487 4.267311 6.755233 4.025765 13.01632 5.627731 10.71906 3.904991 13.9372 14.57326 9.677936 4.259257 8.671494 6.634459 20.64412 8.518515 6.231882 4.598662 4.420288 6.159419 12.38325 3.309176 10.73268 6.086955 3.051839 9.371979 8.904991 13.37793 10.21739 6.688963 15.48309 8.357487 10.48309 8.988295 5.676328 10.77294 10.25765 9.85507 2.801002 5.869563 7.15781 10.83736 9.29146 12.47987 7.734114 5.571657 11.18357 13.55072 8.193976 5.636071 5.805152 6.972622 3.623188 17.02898 9.871171 5.611914 4.62963 5.152977 6.610305 35.73162 12.61705 9.949827 25.33815 1.501798 3.824476 10.04831 4.634385 16 40 50 20 38 25 45 55 38 47 40 26 40 60 50 41 40 40 10 2 48 20 50 34 8 40 50 35 45 40 25 40 7 40 50 20 15 40 15 38 40 36 50 40 40 50 35 40 30 35 40 40 12 38 55 40 40 40 40 50 36 40 40 20 20 40 3 50 40 40 33 39 45 45 75 16 55 15 30 40 10 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 9.677936 4.648688 15.44283 6.270903 5.225441 6.191625 6.191625 2.898549 6.038648 8.05153 17.41545 40.19808 10.06441 8.075683 10.4515 2.520128 8.904991 10.06441 16.25603 11.35266 2.4793 30.19324 10.19323 14.25925 15.09662 5.434783 7.246377 12.38325 6.038648 14.71014 10.61996 11.03059 7.004828 10.25765 9.444442 4.516906 11.03059 6.811594 4.114329 5.805152 8.361203 10.15297 12.58454 11.50563 10.83736 11.6103 7.745568 7.745568 2.093397 3.937198 8.566828 12.38325 8.679548 15.29791 7.165856 9.090172 17.20612 3.011272 8.365539 6.231882 12.28663 7.479866 16.72241 5.225441 9.581316 4.827484 9.597424 9.758451 3.4219 10.32206 12.85024 6.634459 19.35587 9.758451 3.861985 8.05153 3.861985 12.3913 5.636071 3.861985 6.046698 40 5 40 45 40 30 20 35 40 40 40 40 35 35 20 40 40 16 40 45 15 10 40 38 40 35 8 40 20 40 35 33 42 40 41 60 40 50 40 40 40 45 16 35 40 40 40 40 40 24 45 40 12 24 35 40 45 36 40 40 40 35 20 40 11 40 50 40 40 42 40 35 40 40 20 40 40 40 20 50 40 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2.789213 8.05153 8.848629 3.711753 14.75039 10.53139 38.70926 9.758451 2.717391 3.873905 4.354793 7.938803 40.19808 14.49275 6.449271 6.191625 7.230271 2.73752 11.61835 6.964568 4.025765 4.025765 7.045088 17.02898 17.41545 7.439612 6.884055 9.766504 35.73162 7.125603 5.346215 6.199676 3.872784 11.6103 13.28503 14.32367 9.033813 13.17229 3.743959 15.48309 7.745568 7.21417 3.623188 19.91143 9.647542 9.734298 12.77777 9.999998 10.61996 9.111565 11.6103 3.099838 12.38325 7.254424 6.964568 11.07085 17.02898 11.45732 11.72303 16.25603 10.94203 6.634459 12.971 20.64412 18.19645 4.903378 3.019324 6.690819 5.161031 6.505631 17.02898 8.260865 11.99677 12.05685 13.14009 12.64895 7.568433 4.180602 8.719802 10.06441 9.758451 10 25 35 20 42 50 40 40 60 24 24 40 40 40 48 40 9 25 48 40 15 6 40 40 40 40 45 55 45 40 40 45 40 40 40 40 42 44 18 30 40 40 40 35 35 35 40 30 35 60 40 15 50 32 40 40 40 50 25 40 40 35 40 60 2 55 16 50 60 50 40 45 40 20 33 35 45 35 40 40 40 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 15.48309 10.45088 13.26892 16.77133 14.00966 9.090172 9.999998 15.20128 6.924314 10.21739 10.97423 14.10627 17.20612 6.272401 8.558774 2.938808 5.265698 10.62802 16.49758 11.0628 8.937197 7.069242 4.025765 15.33816 10.06441 7.962963 3.344482 7.568433 14.32367 12.77777 11.6103 7.745568 22.58453 12.20612 10.46699 6.505631 11.96457 3.177257 11.27214 10.22544 9.29146 7.479866 9.806758 14.13042 16.73912 14.82286 35.73162 2.785829 7.495973 2.508361 3.961351 5.367891 5.032206 17.52817 7.238324 13.9372 5.885666 15.04025 17.20612 28.45666 3.051529 11.0628 15.48309 10.21739 11.6103 24.66183 12.69726 7.681153 12.971 11.14827 1.032247 11.07395 18.38969 10.17713 15.86956 18.23671 4.790658 10.45088 10.06441 8.518515 13.76006 50 40 35 60 42 45 48 55 40 50 40 45 45 22 38 20 60 7 35 35 52 50 50 40 20 35 29 40 40 40 40 40 40 40 40 50 44 20 45 40 40 60 45 40 50 47 45 40 55 50 40 40 40 40 40 40 50 35 45 35 25 35 40 50 50 20 40 50 40 50 15 40 32 35 40 45 21 40 40 40 45 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 16.36875 30.96618 16.17552 11.6103 11.27214 11.50563 1.859903 6.932361 11.99677 11.22383 7.745568 32.15846 17.54428 10.84541 8.671494 12.77777 9.500801 16.25603 19.43417 13.00322 8.05153 7.745568 13.16424 10.21739 10.45088 6.70692 15.09662 8.599029 12.22222 8.361203 4.025765 9.299514 10.64412 11.22383 6.191625 11.99677 11.45732 10.18518 6.779387 7.898549 2.479871 6.634459 11.48517 4.307567 14.64572 9.637676 11.6103 10.22544 8.365539 15.48309 12.54181 24.00161 19.74234 11.15137 30.33817 15.48309 6.449271 12.11755 9.677936 5.90177 12.0773 9.597424 11.61835 12.04509 8.904991 14.4713 10.32206 9.29146 6.384861 12.77777 4.64573 6.578098 8.599029 8.518515 10.66828 13.01932 11.22383 11.6103 11.77133 12.58454 7.809981 35 50 45 40 35 35 50 67 40 40 50 50 30 36 50 40 44 40 40 50 50 40 40 40 40 60 40 45 38 20 20 40 48 40 50 40 50 38 45 40 60 35 70 40 37 45 40 40 60 45 36 40 40 50 53 45 60 46 40 30 50 50 40 45 40 50 45 40 40 40 1 40 45 40 45 40 40 40 50 40 50 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 10.83736 10.45088 5.611914 8.709585 4.202897 40.19808 3.861985 10.44283 9.186791 11.15941 9.197324 7.793876 11.70569 14.91142 6.964568 8.904991 17.02898 25.80515 10.66828 15.48309 10.53945 13.55072 19.35587 9.033813 8.260865 38.70926 9.790657 13.01932 6.191625 10.32206 3.428092 7.898549 15.09662 11.6103 28.64733 9.188963 7.745568 10.10467 9.066018 10.86957 12.82608 2.697261 6.078904 8.72905 7.318838 8.711756 13.01932 2.479871 7.568433 60 40 53 12 70 40 50 43 40 20 40 62 40 27 60 40 50 60 40 50 47 40 32 60 60 40 40 40 40 45 40 50 40 40 40 35 40 40 40 40 35 9 70 40 40 40 5 60 45 Statistical Project Assignment 2, Semester 2, 2015 ECON7300: Statistics for Business and Economics Instructions for Dataset 3: Simple Regression Analysis (30 marks) A statistician collected data on 390 father-son pairs to examine Galton's law. The variables in the dataset are: Fathers (fathers' heights in centimetres) Sons (sons' heights in centimetres) The dependent variable for your analysis is Sons. Answer the following questions using dataset 3. (a) Estimate a regression model using fathers' heights to predict sons' heights (state the simple linear regression equation). (b) Interpret the meaning of the slope. (c) Predict sons' heights when fathers' heights = 170 cm. (d) Compute the coefficient of determination and interpret its meaning. (e) Compute the standard error of the estimate and interpret its meaning. Judge the magnitude of the standard error of the estimate. (f) Perform a residual analysis (plot the residuals) and evaluate whether the assumptions of regression have been violated. (g) Test for the slope using t test (follow all the necessary steps). Assume 5% level of significance. (h) Test for the slope using F test (follow all the necessary steps). Assume 5% level of significance. (i) Test for the correlation coefficient (follow all the necessary steps). Assume 5% level of significance. (j) Compute a 95% confidence interval estimate of the mean sons' heights in the population when fathers' heights = 170 cm and interpret its meaning. (k) Compute a 95% prediction interval of sons' heights for an individual with fathers' heights = 170 cm and interpret its meaning. Statistical Project Assignment 2, Semester 2, 2015 Instructions for Dataset 4: Multiple Regression Analysis (45 marks) The dataset is an extract of the US National Longitudinal Survey for employed women in 1988 The variables in the dataset are: wage (hourly wages in dollar) hours (number of hours worked) grade (current grade completed by the employee) south (1 if the employee lives in south and 0 otherwise) The dependent variable for your analysis is wage. Answer the following questions using dataset 4 (a) Estimate a regression model using hours and grade to predict wage (state the multiple regression equation). (b) Interpret the meaning of the slopes. (c) Predict the hourly wage when hours = 30 and grade = 15. (d) Compute a 95% confidence interval estimate of the mean hourly wage in the population when hours = 30 and grade = 15 and interpret its meaning. (e) Compute a 95% prediction interval of the hourly wage for an employee with hours = 30 and grade = 15 and interpret its meaning. (f) Plot the residuals to test the assumptions of the regression model. Is there any evidence of violation of the regression assumptions? Explain. (g) Determine the variance inflation factor (VIF) for each independent variable (hours and grade) in the model. Is there reason to suspect the existence of collinearity? (h) At the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model (use t tests and follow all the necessary steps). On the basis of these results, indicate the independent variables to include in the model. (i) Test for the significance of the overall multiple regression model at 5% level of significance. Statistical Project Assignment 2, Semester 2, 2015 (j) Determine whether there is a significant relationship between hourly wage and each independent variable at the 5% level of significance (hint: testing portions of the multiple regression model using the partial F test). (k) Compute the coefficients of partial determination and interpret their meaning. (l) Estimate a regression model using hours, grade and south to predict wage (state the multiple regression equation, the regression equation for employees living in south, the regression equation for employees not living in south) and interpret the coefficient for south. (m) Estimate a regression model using hours, grade, south, an interaction between hours and grade, an interaction between hours and south, and an interaction between grade and south to predict wage. (n) Test whether the three interactions significantly improve the regression model. Assume 5% level of significance (hint: test the joint significance of the three interaction terms using the partial F test. If you reject the null hypothesis, test the contribution of each interaction separately (using the partial F test) in order to determine which interaction terms to include in the model)