/* In part this program is based on Example 8.2 in Wooldridge, p. 262. It demonstrates tests of heteroskedasticity and Weighted Least Squares. */ data gpa3; input term sat tothrs cumgpa season frstsem crsgpa verbmath trmgpa hssize hsrank id spring female black white ctrmgpa ctothrs ccrsgpa ccrspop cseason hsperc football ; datalines; 1 920 31 2.25 0 0 2.6464 .48387 1.5 10 4 22 0 1 0 0 . . . . . 40 0 2 920 43 2.04 1 0 2.5077 .48387 2.25 10 4 22 1 1 0 0 .75 12 -.1387 -62.25 1 40 0 1 780 28 2.03 0 0 2.8679 .81395 2.2 123 102 35 0 0 0 1 . . . . . 82.92683 0 2 780 43 2.09 1 0 2.8839 .81395 1.6 123 102 35 1 0 0 1 -.6 15 .016 -73.25 1 82.92683 0 1 810 0 0 0 1 2.7634 .88372 1.6 119 42 36 0 0 0 1 . . . . . 35.29412 0 2 810 14 1.78 1 0 2.56 .88372 1.29 119 42 36 1 0 0 1 -.3100001 14 -.2034001 72.32996 1 35.29412 0 1 1080 0 0 1 1 2.5149 .8 2 318 31 156 0 0 0 1 . . . . . 9.748427 0 2 1080 17 2 0 0 2.4764 .8 2.73 318 31 156 1 0 0 1 .73 17 -.0385001 -320.2 -1 9.748427 0 1 960 91 2.35 1 0 2.8535 1 2.8 383 66 246 0 0 0 1 . . . . . 17.23238 0 2 960 106 2.41 0 0 2.7414 1 2.6 383 66 246 1 0 0 1 -.2 15 -.1120999 -92.80002 -1 17.23238 0 1 790 0 0 1 1 2.4137 1.13514 1.29 44 27 264 0 0 1 0 . . . . . 61.36364 0 2 790 12 1.16 0 0 2.5918 1.13514 .25 44 27 264 1 0 1 0 -1.04 12 .1780999 -661.17 -1 61.36364 0 1 820 25 2.12 1 0 2.6297 .78261 1.5 344 36 326 0 1 1 0 . . . . . 10.46512 0 2 820 41 1.87 1 0 2.9289 .78261 2 344 36 326 1 1 1 0 .5 16 .2992001 -780.6 0 10.46512 0 1 820 30 1.93 1 0 2.6114 .90698 2.5 228 155 410 0 0 0 1 . . . . . 67.98245 0 2 820 42 2.09 0 0 2.7092 .90698 1.6 228 155 410 1 0 0 1 -.9 12 .0978 -323 -1 67.98245 0 1 1040 0 0 1 1 2.3983 .92593 2.18 91 8 412 0 0 0 1 . . . . . 8.791209 0 2 1040 17 2.17 1 0 2.5643 .92593 2.13 91 8 412 1 0 0 1 -.05 17 .1660001 -113.5 0 8.791209 0 1 730 34 1.97 1 0 2.7986 .78049 1.75 482 273 428 0 0 1 0 . . . . . 56.639 1 2 730 50 1.9 0 0 2.8696 .78049 2.5 482 273 428 1 0 1 0 .75 16 .0710001 14.5 -1 56.639 1 1 780 59 2.38 1 0 2.8955 .69565 2.5 78 17 452 0 0 0 1 . . . . . 21.79487 1 2 780 71 2.4 0 0 2.7555 .69565 2.33 78 17 452 1 0 0 1 -.1700001 12 -.1399999 -217.33 -1 21.79487 1 1 830 62 2.01 1 0 2.942 1.02439 1.75 196 54 477 0 0 1 0 . . . . . 27.55102 0 2 830 74 1.97 1 0 2.6398 1.02439 1.4 196 54 477 1 0 1 0 -.35 12 -.3021998 -540.25 0 27.55102 0 1 710 120 2.02 1 0 2.6198 1.08824 .5 300 226 509 0 0 1 0 . . . . . 75.33334 1 2 710 132 1.88 0 0 3.0175 1.08824 1.08 300 226 509 1 0 1 0 .58 12 .3976998 -113.75 -1 75.33334 1 1 980 35 2.08 1 0 2.4058 .92157 1.75 152 45 513 0 0 1 0 . . . . . 29.60526 1 2 980 47 2 0 0 2.8379 .92157 2.11 152 45 513 1 0 1 0 .3599999 12 .4320998 -99 -1 29.60526 1 1 740 93 2 1 0 2.425 .89744 1.25 312 161 528 0 0 1 0 . . . . . 51.60257 1 2 740 105 1.91 0 0 2.8806 .89744 1.5 312 161 528 1 0 1 0 .25 12 .4556 -349.75 -1 51.60257 1 1 1180 93 3.03 1 0 2.9097 .87302 2.75 637 255 552 0 0 0 1 . . . . . 40.0314 0 2 1180 105 3 1 0 2.5798 .87302 3 637 255 552 1 0 0 1 .25 12 -.3299 -106.5 0 40.0314 0 1 700 26 2.34 1 0 3.1249 1 2.5 32 22 628 0 0 0 1 . . . . . 68.75 0 2 700 38 2.39 1 0 2.9418 1 1.6 32 22 628 1 0 0 1 -.9 12 -.1831 -38 0 68.75 0 1 520 72 1.58 1 0 2.8346 1 2.25 462 358 648 0 0 0 1 . . . . . 77.48917 1 2 520 84 1.67 0 0 3.2181 1 2 462 358 648 1 0 0 1 -.25 12 .3835001 308.05 -1 77.48917 1 1 720 39 1.76 1 0 2.5976 .84615 1.25 283 76 657 0 0 1 0 . . . . . 26.85512 1 2 720 51 1.64 0 0 2.8963 .84615 1.6 283 76 657 1 0 1 0 .35 12 .2987001 10.44995 -1 26.85512 1 1 940 0 0 1 1 2.6809 .77358 2.63 194 85 684 0 1 0 1 . . . . . 43.81443 0 2 940 17 2.58 0 0 2.7455 .77358 2.63 194 85 684 1 1 0 1 0 17 .0646 337.66 -1 43.81443 0 1 960 0 0 1 1 2.9238 .77778 2.06 447 320 686 0 0 1 0 . . . . . 71.58836 1 2 960 15 2.33 0 0 2.5197 .77778 1.33 447 320 686 1 0 1 0 -.7299999 15 -.4040999 569.24 -1 71.58836 1 1 870 27 2.03 1 0 2.8428 .85106 2.08 371 259 692 0 0 0 1 . . . . . 69.81132 0 2 870 40 2.05 1 0 2.8471 .85106 1.29 371 259 692 1 0 0 1 -.79 13 .0043001 57.33002 0 69.81132 0 1 890 25 2.44 1 0 2.6289 .78 2.5 124 50 697 0 0 0 1 . . . . . 40.32258 0 2 890 37 2.45 0 0 2.9548 .78 3 124 50 697 1 0 0 1 .5 12 .3258998 108.25 -1 40.32258 0 1 840 85 2.07 0 0 2.7164 1 2 116 16 706 0 0 0 1 . . . . . 13.7931 0 2 840 100 2.06 1 0 2.6447 1 2.29 116 16 706 1 0 0 1 .29 15 -.0716999 -215.23 1 13.7931 0 1 810 30 2.7 1 0 2.5105 1.07692 2.5 227 56 744 0 1 0 1 . . . . . 24.6696 0 2 810 42 2.64 0 0 3.2227 1.07692 2.85 227 56 744 1 1 0 1 .3499999 12 .7122002 -427.4 -1 24.6696 0 1 820 31 2.22 1 0 2.7978 1.10256 2.33 571 344 759 0 0 0 0 . . . . . 60.24518 0 2 820 40 2.25 0 0 2.8461 1.10256 3 571 344 759 1 0 0 0 .6700001 9 .0483 447.07 -1 60.24518 0 1 970 23 2.86 0 0 2.5771 .67241 1.75 566 83 771 0 0 0 1 . . . . . 14.66431 0 2 970 39 2.41 1 0 2.8763 .67241 2 566 83 771 1 0 0 1 .25 16 .2992001 93.15002 1 14.66431 0 1 790 0 0 1 1 2.7025 1.07895 2.82 597 72 792 0 0 0 1 . . . . . 12.0603 1 2 790 17 2.82 0 0 2.6371 1.07895 1.75 597 72 792 1 0 0 1 -1.07 17 -.0654001 -361.92 -1 12.0603 1 1 800 0 0 1 1 2.6648 .81818 2.13 310 95 798 0 1 0 1 . . . . . 30.64516 0 2 800 13 2.15 1 0 2.7442 .81818 2.64 310 95 798 1 1 0 1 .51 13 .0794001 -189.4 0 30.64516 0 1 680 33 2.93 1 0 2.8994 .74359 2.56 328 122 806 0 1 0 1 . . . . . 37.19512 0 2 680 49 2.81 1 0 2.4809 .74359 2 328 122 806 1 1 0 1 -.5599999 16 -.4184999 -267.42 0 37.19512 0 1 850 0 0 1 1 2.8328 .80851 2.71 73 5 809 0 1 0 1 . . . . . 6.849315 0 2 850 15 2.66 1 0 2.7226 .80851 3.07 73 5 809 1 1 0 1 .3599999 15 -.1101999 33.69995 0 6.849315 0 1 820 80 2.27 0 0 2.8979 .70833 2.2 131 98 823 0 0 0 1 . . . . . 74.80916 0 2 820 95 2.26 1 0 2.9492 .70833 2 131 98 823 1 0 0 1 -.2 15 .0512998 -220.2 1 74.80916 0 1 1120 0 0 1 1 2.1683 .67164 2.33 488 20 828 0 0 0 1 . . . . . 4.098361 0 2 1120 12 2.33 1 0 2.5011 .67164 2.25 488 20 828 1 0 0 1 -.0799999 12 .3328001 -30.32996 0 4.098361 0 1 450 1 4 1 0 2.9188 .8 1.43 118 46 831 0 0 1 0 . . . . . 38.98305 1 2 450 13 1.69 0 0 2.7077 .8 1.79 118 46 831 1 0 1 0 .36 12 -.2111001 -51.46997 -1 38.98305 1 1 880 26 2.34 1 0 3.172 1.09524 2.41 407 70 836 0 1 0 1 . . . . . 17.19902 0 2 880 43 2.37 1 0 2.7853 1.09524 2.5 407 70 836 1 1 0 1 .0899999 17 -.3866999 -68.5 0 17.19902 0 1 1010 28 1.5 1 0 2.8047 1.14894 1.27 106 55 863 0 0 0 1 . . . . . 51.88679 0 2 1010 42 1.33 0 0 2.6747 1.14894 2.5 106 55 863 1 0 0 1 1.23 14 -.1299999 249.25 -1 51.88679 0 1 920 0 0 0 1 2.3373 1.04444 1.86 149 91 872 0 0 0 1 . . . . . 61.07383 0 2 920 12 1.66 1 0 2.7925 1.04444 2.85 149 91 872 1 0 0 1 .9899999 12 .4552 226.15 1 61.07383 0 1 830 70 1.91 1 0 2.9047 .84444 2.8 200 84 889 0 0 1 0 . . . . . 42 0 2 830 83 1.95 1 0 3.0733 .84444 1.6 200 84 889 1 0 1 0 -1.2 13 .1685998 -344 0 42 0 1 590 37 2.18 1 0 2.5413 .68571 .5 480 337 910 0 0 1 0 . . . . . 70.20834 1 2 590 49 1.77 0 0 2.683 .68571 1.75 480 337 910 1 0 1 0 1.25 12 .1417 -174.5 -1 70.20834 1 1 500 0 0 1 1 2.865 1.27273 1.21 457 329 911 0 0 0 1 . . . . . 71.99125 0 2 500 14 1.21 1 0 2.8875 1.27273 1.62 457 329 911 1 0 0 1 .41 14 .0225 -5.160034 0 71.99125 0 1 1050 57 2.61 1 0 2.6249 1.05882 2.81 160 98 916 0 0 0 1 . . . . . 61.25 0 2 1050 73 2.69 0 0 3.0854 1.05882 3.36 160 98 916 1 0 0 1 .55 16 .4605 -477.93 -1 61.25 0 1 570 67 1.86 1 0 2.7455 .96552 1 324 187 942 0 0 1 0 . . . . . 57.71605 1 2 570 79 1.73 0 0 2.6283 .96552 .75 324 187 942 1 0 1 0 -.25 12 -.1172001 429 -1 57.71605 1 1 970 64 3.18 1 0 2.6096 .76364 3.4 5 1 1077 0 1 0 1 . . . . . 20 0 2 970 79 3.22 1 0 2.6845 .76364 3.17 5 1 1077 1 1 0 1 -.23 15 .0748999 -189.83 0 20 0 1 650 40 2.25 1 0 2.6315 .80556 2 206 57 1094 0 0 0 1 . . . . . 27.6699 1 2 650 52 2.19 0 0 2.8364 .80556 2.25 206 57 1094 1 0 0 1 .25 12 .2049 -502.75 -1 27.6699 1 1 1140 56 2.67 1 0 2.7851 .58333 2.4 241 24 1128 0 0 0 1 . . . . . 9.958507 0 2 1140 71 2.61 0 0 2.8528 .58333 2.38 241 24 1128 1 0 0 1 -.02 15 .0676999 -80.39999 -1 9.958507 0 1 1180 69 2.98 1 0 2.922 1.18519 3.47 469 36 1141 0 0 0 1 . . . . . 7.675906 0 2 1180 87 3.09 0 0 2.9457 1.18519 3.12 469 36 1141 1 0 0 1 -.3500001 18 .0237 -194 -1 7.675906 0 1 770 16 1.87 1 0 2.8987 .83333 2 486 397 1157 0 0 0 1 . . . . . 81.68724 0 2 770 25 1.92 0 0 3.0706 .83333 2 486 397 1157 1 0 0 1 0 9 .1719 -126 -1 81.68724 0 1 960 0 0 1 1 2.5202 .88235 3.47 430 65 1185 0 1 0 1 . . . . . 15.11628 0 2 960 16 3.56 1 0 2.6987 .88235 3.81 430 65 1185 1 1 0 1 .3399999 16 .1784999 209.5 0 15.11628 0 1 720 0 0 0 1 2.6784 .94595 2 430 230 1187 0 1 0 0 . . . . . 53.48837 0 2 720 16 1.93 1 0 2.7374 .94595 2.23 430 230 1187 1 1 0 0 .23 16 .059 95.5 1 53.48837 0 1 750 0 0 0 1 2.9692 1.08333 1.92 341 270 1204 0 0 0 1 . . . . . 79.17889 0 2 750 12 1.91 1 0 2.7092 1.08333 2 341 270 1204 1 0 0 1 .08 12 -.26 452.17 1 79.17889 0 1 960 32 2.9 1 0 2.7892 .88235 3.31 10 3 1277 0 1 0 1 . . . . . 30 0 2 960 45 3.02 1 0 3.0455 .88235 3.77 10 3 1277 1 1 0 1 .46 13 .2563 -540.6 0 30 0 1 970 67 2.04 1 0 2.6975 .73214 2 10 3 1315 0 0 0 1 . . . . . 30 1 2 970 79 2.03 0 0 2.7022 .73214 2.29 10 3 1315 1 0 0 1 .29 12 .0046999 -88.66998 -1 30 1 1 1070 62 2.12 1 0 2.9436 .78333 1.85 288 65 1390 0 0 0 1 . . . . . 22.56944 1 2 1070 74 2.06 0 0 2.9238 .78333 2 288 65 1390 1 0 0 1 .15 12 -.0197999 -273.25 -1 22.56944 1 1 940 32 2.65 0 0 2.8248 .70909 2.33 251 45 1485 0 0 0 1 . . . . . 17.92829 0 2 940 50 2.54 1 0 2.8651 .70909 2.13 251 45 1485 1 0 0 1 -.1999998 18 .0402999 40.33002 1 17.92829 0 1 1100 59 2.64 1 0 2.8895 .80328 2.5 306 99 1640 0 0 0 1 . . . . . 32.35294 0 2 1100 71 2.61 0 0 2.7331 .80328 2.08 306 99 1640 1 0 0 1 -.4200001 12 -.1564 -52.15 -1 32.35294 0 1 1110 52 2.05 1 0 2.745 .94737 2.15 216 125 1736 0 0 0 1 . . . . . 57.87037 0 2 1110 65 2.07 1 0 2.78 .94737 2.69 216 125 1736 1 0 0 1 .54 13 .0350001 -42.35001 0 57.87037 0 1 860 78 1.94 1 0 3.1855 .45763 3.14 274 110 1750 0 0 0 1 . . . . . 40.14598 0 2 860 92 2.13 1 0 2.692 .45763 2.75 274 110 1750 1 0 0 1 -.3900001 14 -.4935 -55.14999 0 40.14598 0 1 1110 29 3.86 1 0 3.0331 .91379 3.63 48 20 1863 0 1 0 1 . . . . . 41.66667 0 2 1110 45 3.77 1 0 2.6594 .91379 3.69 48 20 1863 1 1 0 1 .0599999 16 -.3736999 -453.45 0 41.66667 0 1 850 87 2.01 1 0 3.2487 1.02381 1.94 244 146 1903 0 1 0 1 . . . . . 59.83607 0 2 850 103 2 0 0 3.1378 1.02381 2.6 244 146 1903 1 1 0 1 .6599998 16 -.1108999 -190.87 -1 59.83607 0 1 750 0 0 1 1 2.4407 1.08333 1.27 48 26 1984 0 1 0 1 . . . . . 54.16667 0 2 750 12 1.41 1 0 3.0332 1.08333 2.75 48 26 1984 1 1 0 1 1.48 12 .5925 -64.5 0 54.16667 0 1 840 0 0 1 1 2.5065 .78723 2 48 32 1986 0 1 0 1 . . . . . 66.66666 0 2 840 16 2.12 1 0 2.8851 .78723 2.31 48 32 1986 1 1 0 1 .3099999 16 .3785999 -104.47 0 66.66666 0 1 1050 0 0 1 1 2.3848 .75 1.8 620 266 2001 0 0 0 1 . . . . . 42.90322 0 2 1050 15 1.8 1 0 2.539 .75 1.23 620 266 2001 1 0 0 1 -.5699999 15 .1542001 -6.400024 0 42.90322 0 1 890 29 2.17 1 0 2.8267 .85417 2.5 550 114 2014 0 1 0 1 . . . . . 20.72727 0 2 890 43 2.27 1 0 2.9847 .85417 2.62 550 114 2014 1 1 0 1 .1199999 14 .158 150.47 0 20.72727 0 1 890 63 1.93 1 0 2.9497 1.225 2.25 768 451 2046 0 1 0 1 . . . . . 58.72396 0 2 890 75 1.98 1 0 2.9981 1.225 2.94 768 451 2046 1 1 0 1 .6900001 12 .0483999 -60.70001 0 58.72396 0 1 830 26 1.65 1 0 2.4387 .93023 1.71 161 147 2101 0 0 0 1 . . . . . 91.30434 0 2 830 40 1.67 0 0 2.8498 .93023 2.71 161 147 2101 1 0 0 1 1 14 .4111001 -333 -1 91.30434 0 1 850 0 0 1 1 2.7077 1.02381 2.4 179 153 2103 0 0 0 1 . . . . . 85.47486 0 2 850 11 1.81 0 0 2.8881 1.02381 1.73 179 153 2103 1 0 0 1 -.6700001 11 .1803999 -486.75 -1 85.47486 0 1 770 0 0 1 1 2.7444 .87805 2.31 620 461 2107 0 0 0 1 . . . . . 74.35484 1 2 770 15 2.46 0 0 2.928 .87805 2.31 620 461 2107 1 0 0 1 0 15 .1835999 -254.4299 -1 74.35484 1 1 910 39 2.43 1 0 2.9027 .89583 2.54 386 190 2333 0 0 1 0 . . . . . 49.2228 1 2 910 52 2.46 0 0 2.461 .89583 2.25 386 190 2333 1 0 1 0 -.29 13 -.4417 -39.45001 -1 49.2228 1 1 910 0 0 1 1 2.7736 .82 .43 563 328 2395 0 0 0 1 . . . . . 58.25933 0 2 910 15 .6 1 0 2.4197 .82 1.57 563 328 2395 1 0 0 1 1.14 15 -.3539002 255.17 0 58.25933 0 1 1110 30 2.66 1 0 2.7469 .79032 2.69 4 2 2470 0 1 0 1 . . . . . 50 0 2 1110 46 2.67 1 0 2.7751 .79032 3 4 2 2470 1 1 0 1 .3099999 16 .0281999 -12.19998 0 50 0 1 1090 84 2.41 1 0 2.8599 .84746 2.2 320 55 2487 0 1 0 1 . . . . . 17.1875 0 2 1090 99 2.38 0 0 2.9807 .84746 2.8 320 55 2487 1 1 0 1 .5999999 15 .1208 -21.2 -1 17.1875 0 1 1170 55 3.27 0 0 2.6994 .74627 3.33 470 127 2532 0 0 0 1 . . . . . 27.02128 0 2 1170 73 3.28 1 0 2.7627 .74627 3.33 470 127 2532 1 0 0 1 0 18 .0633001 -311.5 1 27.02128 0 1 760 28 2.75 1 0 2.9844 .94872 3.44 670 71 2583 0 0 0 0 . . . . . 10.59702 0 2 760 44 3 0 0 2.7734 .94872 3.2 670 71 2583 1 0 0 0 -.24 16 -.211 101.2 -1 10.59702 0 1 780 0 0 1 1 2.7576 .90244 2.88 654 81 2586 0 1 0 0 . . . . . 12.38532 0 2 780 14 2.85 0 0 2.8991 .90244 2.64 654 81 2586 1 1 0 0 -.24 14 .1415 -287.9999 -1 12.38532 0 1 670 111 2.01 1 0 2.6453 .81081 1.5 277 61 2736 0 0 1 0 . . . . . 22.02166 1 2 670 123 1.96 0 0 2.5111 .81081 0 277 61 2736 1 0 1 0 -1.5 12 -.1341999 609.5 -1 22.02166 1 1 870 55 2.21 1 0 2.8318 .8913 2.25 462 236 2765 0 0 0 1 . . . . . 51.08225 0 2 870 67 2.22 0 0 2.7351 .8913 1.75 462 236 2765 1 0 0 1 -.5 12 -.0967 175.75 -1 51.08225 0 1 850 52 1.98 1 0 2.6799 .77083 1.33 401 45 2902 0 0 0 1 . . . . . 11.22194 1 2 850 61 1.88 0 0 2.7762 .77083 1.64 401 45 2902 1 0 0 1 .3099999 9 .0963001 -191.8 -1 11.22194 1 1 790 57 1.94 0 0 2.6514 .68085 1.57 403 193 2931 0 0 0 1 . . . . . 47.89082 0 2 790 71 1.87 1 0 3.0024 .68085 2.75 403 193 2931 1 0 0 1 1.18 14 .3509998 -347.6 1 47.89082 0 1 1180 69 1.62 1 0 2.7128 .87302 3 321 167 3047 0 0 0 1 . . . . . 52.02492 1 2 1180 81 1.82 0 0 2.4061 .87302 2 321 167 3047 1 0 0 1 -1 12 -.3067 -86.79999 -1 52.02492 1 1 940 65 2.41 1 0 3.1423 .64912 2.5 375 87 3177 0 0 0 1 . . . . . 23.2 1 2 940 77 2.42 0 0 3.0954 .64912 2.38 375 87 3177 1 0 0 1 -.1199999 12 -.0468998 -225.67 -1 23.2 1 1 850 0 0 0 1 2.6787 .80851 1.6 448 207 3181 0 1 0 1 . . . . . 46.20536 0 2 850 14 1.57 1 0 2.7989 .80851 2.23 448 207 3181 1 1 0 1 .63 14 .1201999 -161.17 1 46.20536 0 1 540 80 1.93 1 0 2.7371 .58824 1.75 577 402 3249 0 0 1 0 . . . . . 69.67071 1 2 540 92 1.91 0 0 2.559 .58824 .75 577 402 3249 1 0 1 0 -1 12 -.1780999 440 -1 69.67071 1 1 930 28 3.32 1 0 2.7199 1.02174 3.8 604 27 3321 0 1 0 1 . . . . . 4.470199 0 2 930 43 3.48 1 0 2.9337 1.02174 3 604 27 3321 1 1 0 1 -.8 15 .2138002 15.80005 0 4.470199 0 1 810 30 2.16 1 0 2.7084 1.025 2.79 520 214 3438 0 0 0 1 . . . . . 41.15385 0 2 810 44 2.36 1 0 2.793 1.025 2.81 520 214 3438 1 0 0 1 .02 14 .0846 433.95 0 41.15385 0 1 1130 77 3.9 1 0 2.733 .79365 4 450 1 3482 0 1 0 1 . . . . . .2222222 0 2 1130 92 3.92 0 0 2.8489 .79365 3.63 450 1 3482 1 1 0 1 -.3699999 15 .1159 -130.23 -1 .2222222 0 1 940 28 3.14 1 0 2.6767 .46875 3.5 303 84 3665 0 0 0 1 . . . . . 27.72277 0 2 940 40 3.25 1 0 3.1241 .46875 3.08 303 84 3665 1 0 0 1 -.4200001 12 .4473999 -828.85 0 27.72277 0 1 1010 80 2.36 0 0 2.638 .94231 3 457 123 3718 0 0 0 1 . . . . . 26.91466 0 2 1010 95 2.46 1 0 2.9054 .94231 3.4 457 123 3718 1 0 0 1 .4000001 15 .2674 -105.4 1 26.91466 0 1 930 38 2.07 1 0 2.6668 1.02174 1.25 288 197 3728 0 0 0 1 . . . . . 68.40278 1 2 930 50 1.88 0 0 2.9916 1.02174 2.23 288 197 3728 1 0 0 1 .98 12 .3248 204.25 -1 68.40278 1 1 850 66 2.09 1 0 2.6588 .93182 2 537 234 3758 0 0 0 1 . . . . . 43.57542 0 2 850 78 2.07 1 0 2.8992 .93182 1.94 537 234 3758 1 0 0 1 -.0599999 12 .2404001 75.83 0 43.57542 0 1 1160 83 3.49 1 0 2.9958 .93333 3.4 637 101 3809 0 1 0 1 . . . . . 15.85557 0 2 1160 98 3.47 1 0 3.0601 .93333 3.3 637 101 3809 1 1 0 1 -.1000001 15 .0643001 69.53 0 15.85557 0 1 900 86 2.77 1 0 3.0089 .91489 3 637 76 3847 0 1 0 1 . . . . . 11.93093 0 2 900 101 2.81 1 0 3.0143 .91489 2.6 637 76 3847 1 1 0 1 -.4000001 15 .0054002 138.6 0 11.93093 0 1 920 89 2.69 1 0 2.9401 .87755 2.08 637 163 3861 0 1 0 1 . . . . . 25.5887 0 2 920 102 2.61 1 0 3.0847 .87755 2.46 637 163 3861 1 1 0 1 .3800001 13 .1446002 -130.05 0 25.5887 0 1 1020 0 0 1 1 2.3118 .78947 1.43 330 160 3920 0 0 0 1 . . . . . 48.48485 0 2 1020 12 1.16 0 0 2.8809 .78947 .75 330 160 3920 1 0 0 1 -.6799999 12 .5690999 227 -1 48.48485 0 1 660 80 1.92 1 0 2.7976 .78378 1.5 251 130 3964 0 0 0 0 . . . . . 51.79283 1 2 660 92 1.86 0 0 2.783 .78378 .75 251 130 3964 1 0 0 0 -.75 12 -.0146 299.5 -1 51.79283 1 1 870 0 0 1 1 2.8846 .77551 3.44 10 2 4065 0 1 1 0 . . . . . 20 0 2 870 14 3.5 1 0 2.6483 .77551 2.62 10 2 4065 1 1 1 0 -.8200002 14 -.2363 124.1 0 20 0 1 1100 35 3.05 1 0 2.8672 .86441 2.79 172 137 4105 0 0 0 1 . . . . . 79.65116 1 2 1100 49 2.97 0 0 2.7198 .86441 3.25 172 137 4105 1 0 0 1 .46 14 -.1473999 210 -1 79.65116 1 1 960 30 2.4 1 0 2.7009 .68421 3 204 51 4247 0 0 0 1 . . . . . 25 0 2 960 42 2.57 0 0 2.8026 .68421 2.17 204 51 4247 1 0 0 1 -.8299999 12 .1016998 -273.67 -1 25 0 1 540 100 2.2 1 0 2.6427 .92857 2 240 151 4350 0 0 1 0 . . . . . 62.91667 1 2 540 112 2.17 0 0 2.5512 .92857 1.25 240 151 4350 1 0 1 0 -.75 12 -.0915 -56.5 -1 62.91667 1 1 700 0 0 1 1 2.9404 .79487 2.41 238 102 4368 0 0 1 0 . . . . . 42.85714 1 2 700 15 2.6 0 0 2.7842 .79487 1.92 238 102 4368 1 0 1 0 -.4900001 15 -.1561999 490.86 -1 42.85714 1 1 490 121 1.95 1 0 3.1275 .68966 2.38 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.1219001 68.26996 0 64.92146 0 1 790 42 1.85 1 0 2.7003 .92683 1.6 125 34 26671 0 0 1 0 . . . . . 27.2 1 2 790 55 1.78 0 0 2.9911 .92683 1.86 125 34 26671 1 0 1 0 .26 13 .2908001 -792.1301 -1 27.2 1 1 1020 0 0 0 1 2.3428 .78947 1.21 574 81 27328 0 0 0 1 . . . . . 14.1115 0 2 1020 12 1.25 1 0 2.7559 .78947 2.25 574 81 27328 1 0 0 1 1.04 12 .4131 -139 1 14.1115 0 1 980 25 2.6 0 0 2.9405 .84906 2.85 665 33 27338 0 0 0 1 . . . . . 4.962406 0 2 980 38 2.68 1 0 2.6612 .84906 2.6 665 33 27338 1 0 0 1 -.25 13 -.2793 -75.40002 1 4.962406 0 1 1080 91 2.29 0 0 2.8116 .56522 2.93 539 152 27561 0 0 0 1 . . . . . 28.20037 0 2 1080 110 2.37 1 0 3.1309 .56522 2.6 539 152 27561 1 0 0 1 -.3300002 19 .3192999 -165.83 1 28.20037 0 1 820 0 0 1 1 2.3746 .90698 2.24 526 160 27633 0 1 1 0 . . . . . 30.41825 0 2 820 15 2.13 1 0 2.7751 .90698 2.4 526 160 27633 1 1 1 0 .1600001 15 .4005001 -85 0 30.41825 0 1 1140 91 3.32 0 0 2.7002 .75385 3 160 6 28501 0 0 0 1 . . . . . 3.75 0 2 1140 106 3.28 1 0 2.9546 .75385 2.15 160 6 28501 1 0 0 1 -.8499999 15 .2544 -60.9 1 3.75 0 1 960 0 0 0 1 2.679 1.13333 3 201 19 28938 0 0 0 1 . . . . . 9.452736 0 2 960 11 2.9 1 0 2.6107 1.13333 2.31 201 19 28938 1 0 0 1 -.6900001 11 -.0683 70.59998 1 9.452736 0 1 700 1 4 1 0 2.7419 .66667 2.16 201 103 28956 0 0 0 1 . . . . . 51.24378 1 2 700 18 2.38 0 0 2.5791 .66667 1.94 201 103 28956 1 0 0 1 -.22 17 -.1628001 592 -1 51.24378 1 1 630 80 1.8 1 0 3.0122 1.03226 1.71 163 89 29151 0 0 1 0 . . . . . 54.60123 1 2 630 92 1.8 0 0 2.7766 1.03226 0 163 89 29151 1 0 1 0 -1.71 12 -.2356002 -315.9 -1 54.60123 1 1 640 33 1.75 1 0 2.9143 1.13333 2.2 353 230 29256 0 0 1 0 . . . . . 65.15581 1 2 640 48 1.89 0 0 2.9519 1.13333 2 353 230 29256 1 0 1 0 -.2 15 .0376 -380.4 -1 65.15581 1 1 1020 29 2.55 0 0 2.837 .82143 2.31 345 46 29394 0 0 0 1 . . . . . 13.33333 0 2 1020 42 2.47 1 0 2.7319 .82143 1.75 345 46 29394 1 0 0 1 -.5599999 13 -.1050999 116.6299 1 13.33333 0 1 1030 62 2.43 1 0 2.935 .87273 3.23 176 27 29591 0 0 0 1 . . . . . 15.34091 1 2 1030 75 2.57 0 0 3.0346 .87273 3 176 27 29591 1 0 0 1 -.23 13 .0996001 -108 -1 15.34091 1 1 920 101 3.33 1 0 2.8084 .95745 3.33 575 155 29965 0 1 0 1 . . . . . 26.95652 0 2 920 119 3.33 1 0 3.7293 .95745 4 575 155 29965 1 1 0 1 .6700001 18 .9209001 -77.5 0 26.95652 0 1 990 0 0 1 1 2.4896 .83333 3 715 23 30016 0 1 0 1 . . . . . 3.216783 0 2 990 16 2.87 1 0 2.7063 .83333 3.63 715 23 30016 1 1 0 1 .6300001 16 .2167001 -403.17 0 3.216783 0 1 920 7 1.71 1 0 2.8619 .87755 2.8 715 529 30121 0 0 0 1 . . . . . 73.98602 0 2 920 17 2.35 1 0 2.6668 .87755 0 715 529 30121 1 0 0 1 -2.8 10 -.1951001 -42.25 0 73.98602 0 1 840 0 0 1 1 2.6876 .82609 1.18 715 511 30271 0 0 1 0 . . . . . 71.46853 0 2 840 11 1.18 0 0 2.6194 .82609 1.23 715 511 30271 1 0 1 0 .0500001 11 -.0681999 -31.69995 -1 71.46853 0 1 990 0 0 1 1 2.5301 .86792 2.25 715 279 30568 0 0 0 1 . . . . . 39.02098 0 2 990 10 2.1 0 0 2.5652 .86792 2.33 715 279 30568 1 0 0 1 .0799999 10 .0351 447.08 -1 39.02098 0 1 950 1 4 1 0 3.0395 .82692 2 715 346 30575 0 0 0 1 . . . . . 48.39161 1 2 950 17 2 0 0 2.518 .82692 1.6 715 346 30575 1 0 0 1 -.4 16 -.5215001 47.92993 -1 48.39161 1 1 1180 0 0 1 1 2.5041 .81538 1.5 771 481 30629 0 0 0 1 . . . . . 62.38651 0 2 1180 14 1.5 0 0 2.6602 .81538 2.8 771 481 30629 1 0 0 1 1.3 14 .1561 -89.84998 -1 62.38651 0 1 1050 27 1.96 1 0 2.9259 .77966 2.5 687 314 30649 0 0 0 1 . . . . . 45.70597 0 2 1050 39 2.12 0 0 2.5049 .77966 2.25 687 314 30649 1 0 0 1 -.25 12 -.421 617 -1 45.70597 0 1 900 58 2.89 1 0 3.0116 .76471 3.13 132 18 30770 0 0 0 1 . . . . . 13.63636 0 2 900 74 2.94 1 0 3.022 .76471 3.2 132 18 30770 1 0 0 1 .0699999 16 .0104001 -185.8 0 13.63636 0 1 490 112 2 1 0 2.7914 .75 1.6 144 55 30901 0 1 1 0 . . . . . 38.19444 0 2 490 127 1.97 1 0 2.9132 .75 1.75 144 55 30901 1 1 1 0 .15 15 .1217999 -149.6 0 38.19444 0 1 670 40 2.17 1 0 2.8165 .86111 1.5 87 42 31327 0 0 1 0 . . . . . 48.27586 1 2 670 52 2.01 0 0 3.1547 .86111 1.38 87 42 31327 1 0 1 0 -.12 12 .3382001 -401.9 -1 48.27586 1 1 710 0 0 1 1 2.821 1.02857 1.79 117 65 32149 0 1 1 0 . . . . . 55.55556 0 2 710 17 1.76 1 0 2.7152 1.02857 2 117 65 32149 1 1 1 0 .21 17 -.1058002 159.39 0 55.55556 0 1 900 0 0 1 1 2.8087 .8 2.21 30 17 32416 0 0 0 1 . . . . . 56.66667 1 2 900 14 2.21 0 0 2.5258 .8 2.69 30 17 32416 1 0 0 1 .48 14 -.2829001 585 -1 56.66667 1 1 930 55 1.96 1 0 2.5448 1.06667 .75 277 50 32692 0 0 0 1 . . . . . 18.05054 0 2 930 67 1.74 0 0 2.6871 1.06667 1.8 277 50 32692 1 0 0 1 1.05 12 .1422999 -512.08 -1 18.05054 0 1 860 39 2.2 1 0 2.4679 .62264 2.46 259 70 32698 0 0 0 1 . . . . . 27.02703 1 2 860 52 2.26 0 0 2.53 .62264 1.25 259 70 32698 1 0 0 1 -1.21 13 .0620999 298.25 -1 27.02703 1 1 830 57 2.21 0 0 2.8633 .69388 2.29 297 84 33463 0 0 0 1 . . . . . 28.28283 0 2 830 71 2.22 1 0 2.7269 .69388 2.2 297 84 33463 1 0 0 1 -.0899999 14 -.1364 7.200012 1 28.28283 0 1 1400 59 3.74 1 0 2.8422 .94444 4 252 1 33568 0 0 0 1 . . . . . .3968254 1 2 1400 75 3.8 0 0 3.1083 .94444 4 252 1 33568 1 0 0 1 0 16 .2660999 -138.16 -1 .3968254 1 1 570 52 2.01 1 0 2.9481 .78125 2.62 209 82 33898 0 1 1 0 . . . . . 39.23445 0 2 570 65 2.13 1 0 2.5888 .78125 1.25 209 82 33898 1 1 1 0 -1.37 13 -.3593001 -102.3 0 39.23445 0 1 1130 29 3.37 1 0 2.6944 .79365 3.29 313 10 34445 0 0 0 1 . . . . . 3.194888 1 2 1130 46 3.34 0 0 2.8052 .79365 3.68 313 10 34445 1 0 0 1 .3900001 17 .1108 254.26 -1 3.194888 1 1 860 57 2.57 0 0 2.704 .79167 3.2 66 21 35169 0 0 0 1 . . . . . 31.81818 0 2 860 72 2.7 1 0 2.6378 .79167 2.6 66 21 35169 1 0 0 1 -.6000001 15 -.0662 -203.6 1 31.81818 0 1 650 84 2.72 1 0 3.1406 .75676 3.2 234 35 35447 0 1 1 0 . . . . . 14.95726 0 2 650 99 2.79 0 0 3.3957 .75676 3.75 234 35 35447 1 1 1 0 .55 15 .2551 -24.7 -1 14.95726 0 1 1070 69 2.37 1 0 2.7123 .84483 3.5 127 25 36837 0 0 0 1 . . . . . 19.68504 1 2 1070 87 2.6 0 0 2.8568 .84483 3.33 127 25 36837 1 0 0 1 -.1700001 18 .1445 -154.17 -1 19.68504 1 1 690 103 2.64 1 0 2.8589 .60465 2 79 12 36971 0 0 1 0 . . . . . 15.18987 1 2 690 115 2.57 0 0 2.913 .60465 2.67 79 12 36971 1 0 1 0 .6700001 12 .0541 154.75 -1 15.18987 1 1 1200 0 0 1 1 2.8888 .62162 3.38 415 14 37502 0 0 0 1 . . . . . 3.373494 1 2 1200 16 3.37 0 0 2.5687 .62162 3.31 415 14 37502 1 0 0 1 -.0700002 16 -.3200998 -34.5 -1 3.373494 1 1 1180 27 3.59 0 0 2.3665 .71014 3.5 365 3 37593 0 1 0 1 . . . . . .8219178 0 2 1180 41 3.56 1 0 2.5823 .71014 2.57 365 3 37593 1 1 0 1 -.9300001 14 .2158 -103.6 1 .8219178 0 1 630 99 2.25 0 0 2.7868 .8 2.4 246 160 38412 0 0 0 1 . . . . . 65.04065 0 2 630 114 2.27 1 0 2.8597 .8 1.6 246 160 38412 1 0 0 1 -.8000001 15 .0729001 -57.8 1 65.04065 0 1 870 31 1.74 1 0 2.8764 .74 2.62 254 73 38440 0 0 1 0 . . . . . 28.74016 0 2 870 44 2 1 0 3.026 .74 2.5 254 73 38440 1 0 1 0 -.1199999 13 .1496 -279 0 28.74016 0 1 940 49 2.3 0 0 2.8229 .64912 2.25 256 58 39147 0 0 0 1 . . . . . 22.65625 0 2 940 61 2.29 1 0 2.7271 .64912 2.5 256 58 39147 1 0 0 1 .25 12 -.0958002 -114 1 22.65625 0 1 610 71 2.26 1 0 2.926 .90625 2.25 522 152 39451 0 0 0 1 . . . . . 29.11877 1 2 610 83 2.26 0 0 2.7285 .90625 1.75 522 152 39451 1 0 0 1 -.5 12 -.1975002 66 -1 29.11877 1 1 1110 0 0 1 1 2.6758 .94737 3.22 591 10 39796 0 0 0 1 . . . . . 1.692047 0 2 1110 18 3.22 1 0 2.396 .94737 3 591 10 39796 1 0 0 1 -.22 18 -.2798002 -387.4701 0 1.692047 0 1 890 112 2.05 1 0 2.8094 .81633 1.75 690 420 40439 0 0 1 0 . . . . . 60.86956 1 2 890 127 2.02 0 0 3.3264 .81633 1.92 690 420 40439 1 0 1 0 .17 15 .517 428.8 -1 60.86956 1 1 850 93 2.19 1 0 3.0103 .88889 1.71 572 86 40756 0 0 0 1 . . . . . 15.03496 0 2 850 107 2.13 0 0 3.0177 .88889 2.26 572 86 40756 1 0 0 1 .55 14 .0074 177.4 -1 15.03496 0 1 1150 41 3.14 1 0 2.8773 .74242 3.2 673 106 40833 0 0 0 1 . . . . . 15.75037 0 2 1150 56 3.16 0 0 2.8229 .74242 3 673 106 40833 1 0 0 1 -.2 15 -.0544 -165 -1 15.75037 0 1 810 87 1.93 1 0 3.0172 .88372 2.2 337 56 41429 0 0 0 1 . . . . . 16.61721 1 2 810 97 1.95 0 0 2.9129 .88372 1.25 337 56 41429 1 0 0 1 -.95 10 -.1043 -107.21 -1 16.61721 1 1 720 1 4 1 0 2.7339 .89474 1.32 584 268 41585 0 0 1 0 . . . . . 45.89041 1 2 720 18 1.38 0 0 2.7484 .89474 1.31 584 268 41585 1 0 1 0 -.0100001 17 .0144999 653 -1 45.89041 1 1 1040 56 3.01 1 0 2.6182 .70492 2.33 172 5 43168 0 0 0 1 . . . . . 2.906977 1 2 1040 74 2.85 0 0 3.0022 .70492 2.5 172 5 43168 1 0 0 1 .1700001 18 .3839998 -531.5 -1 2.906977 1 1 1100 0 0 1 1 2.8913 1 3.21 181 30 43205 0 0 0 1 . . . . . 16.57458 1 2 1100 12 3.08 0 0 2.4553 1 1.92 181 30 43205 1 0 0 1 -1.29 12 -.4359999 62.70001 -1 16.57458 1 1 1000 0 0 1 1 2.7248 .81818 2.14 154 5 43892 0 1 1 0 . . . . . 3.246753 0 2 1000 14 2.14 1 0 2.6642 .81818 1.86 154 5 43892 1 1 1 0 -.2800001 14 -.0606 433.5 0 3.246753 0 1 980 0 0 1 1 2.4605 .84906 .94 151 30 44005 0 0 1 0 . . . . . 19.86755 0 2 980 17 .94 1 0 2.6861 .84906 1.47 151 30 44005 1 0 1 0 .53 17 .2256 -423.4 0 19.86755 0 1 750 95 2.47 1 0 3.2197 1.02703 3.17 30 10 44165 0 1 0 1 . . . . . 33.33333 0 2 750 113 2.58 1 0 2.9878 1.02703 2.5 30 10 44165 1 1 0 1 -.6700001 18 -.2319002 -21.25 0 33.33333 0 1 820 0 0 1 1 2.4185 1 1.71 35 11 44224 0 0 0 1 . . . . . 31.42857 1 2 820 15 1.53 0 0 2.64 1 2.6 35 11 44224 1 0 0 1 .8899999 15 .2215002 -407.6 -1 31.42857 1 1 900 75 1.93 1 0 2.8782 .8 2.88 149 38 44397 0 0 0 1 . . . . . 25.50336 0 2 900 92 2.1 1 0 2.8385 .8 2.13 149 38 44397 1 0 0 1 -.75 17 -.0397 284.36 0 25.50336 0 1 1040 33 3.06 1 0 2.7583 .73333 3.06 94 6 44548 0 1 0 1 . . . . . 6.382979 0 2 1040 49 3.06 1 0 2.8127 .73333 3.12 94 6 44548 1 1 0 1 .0599999 16 .0544 -123.17 0 6.382979 0 1 710 0 0 1 1 2.8438 .86842 1.75 258 129 44571 0 1 1 0 . . . . . 50 0 2 710 15 1.86 1 0 3.0921 .86842 2.27 258 129 44571 1 1 1 0 .52 15 .2482998 401 0 50 0 1 1020 92 3.14 1 0 2.7662 .75862 3.5 560 32 44657 0 1 0 1 . . . . . 5.714286 0 2 1020 104 3.18 1 0 2.6149 .75862 3 560 32 44657 1 1 0 1 -.5 12 -.1513 -369.42 0 5.714286 0 1 980 91 2.19 1 0 2.5915 .96 2.25 299 42 44705 0 0 0 1 . . . . . 14.04682 0 2 980 103 2.2 0 0 2.9004 .96 2.88 299 42 44705 1 0 0 1 .6300001 12 .3088999 372.42 -1 14.04682 0 1 990 0 0 0 1 2.8107 .98 3.65 425 30 44718 0 1 0 1 . . . . . 7.058824 0 2 990 15 3.6 1 0 2.6441 .98 2.59 425 30 44718 1 1 0 1 -1.06 15 -.1666 100 1 7.058824 0 1 950 68 2 1 0 2.9893 .93878 2.75 265 43 44754 0 0 0 1 . . . . . 16.22642 1 2 950 83 2.13 0 0 2.7508 .93878 2.14 265 43 44754 1 0 0 1 -.6099999 15 -.2385001 -348.13 -1 16.22642 1 1 960 95 3.01 1 0 3.0076 .95918 2.82 10 1 44917 0 1 0 1 . . . . . 10 0 2 960 112 2.98 1 0 2.7728 .95918 3 10 1 44917 1 1 0 1 .1800001 17 -.2348001 -75.87003 0 10 0 1 1100 33 2.39 1 0 2.5962 .80328 2.73 742 31 45133 0 0 0 1 . . . . . 4.177897 0 2 1100 48 2.5 1 0 2.631 .80328 3 742 31 45133 1 0 0 1 .27 15 .0348001 211.47 0 4.177897 0 1 910 0 0 1 1 2.3003 .93617 3.31 139 6 45153 0 0 0 1 . . . . . 4.316547 0 2 910 16 3.31 0 0 2.5836 .93617 3.38 139 6 45153 1 0 0 1 .0700002 16 .2833002 -128.85 -1 4.316547 0 1 680 49 2.22 0 0 2.7848 1 2 658 246 45161 0 0 0 1 . . . . . 37.38602 0 2 680 64 2.17 1 0 2.7833 1 2.25 658 246 45161 1 0 0 1 .25 15 -.0015001 -230.3 1 37.38602 0 1 1130 0 0 1 1 2.4272 .94828 1.5 87 61 45166 0 0 0 1 . . . . . 70.11494 0 2 1130 12 1.5 0 0 2.4906 .94828 1.79 87 61 45166 1 0 0 1 .29 12 .0634 -99.40002 -1 70.11494 0 1 1010 29 2 1 0 2.7572 .80357 2.69 553 169 45192 0 0 0 1 . . . . . 30.56058 0 2 1010 42 2.21 1 0 2.9019 .80357 2.5 553 169 45192 1 0 0 1 -.1900001 13 .1447001 -540.9999 0 30.56058 0 1 990 36 2.05 1 0 2.7821 .7069 1.73 599 253 45210 0 0 0 1 . . . . . 42.23706 0 2 990 47 1.97 1 0 2.4685 .7069 2 599 253 45210 1 0 0 1 .27 11 -.3136001 284.67 0 42.23706 0 1 1080 0 0 1 1 2.3463 .92857 1.86 640 267 45248 0 0 0 1 . . . . . 41.71875 0 2 1080 14 1.85 0 0 2.5223 .92857 1.81 640 267 45248 1 0 0 1 -.0500001 14 .1760001 -66.57996 -1 41.71875 0 1 860 1 4 1 0 2.9254 .72 1.88 373 264 45395 0 0 0 1 . . . . . 70.77748 1 2 860 16 2.12 0 0 2.5152 .72 1.75 373 264 45395 1 0 0 1 -.13 15 -.4102001 330.46 -1 70.77748 1 1 790 0 0 0 1 2.3858 .92683 1.82 624 285 45685 0 0 0 1 . . . . . 45.67308 0 2 790 15 1.8 1 0 2.7259 .92683 2.38 624 285 45685 1 0 0 1 .5600001 15 .3401 -304.5299 1 45.67308 0 1 1070 0 0 1 1 2.395 .94545 1.41 361 182 45874 0 0 0 1 . . . . . 50.41551 0 2 1070 15 1.33 1 0 2.7179 .94545 .9 361 182 45874 1 0 0 1 -.51 15 .3229001 5.150024 0 50.41551 0 1 850 0 0 1 1 2.5805 .88889 1.64 224 191 46005 0 1 0 0 . . . . . 85.26786 0 2 850 15 1.73 1 0 2.8087 .88889 1.85 224 191 46005 1 1 0 0 .21 15 .2282002 247 0 85.26786 0 1 1070 38 3.36 1 0 2.6263 .94545 3 481 33 46058 0 1 1 0 . . . . . 6.860707 0 2 1070 55 3.25 1 0 2.7338 .94545 2.8 481 33 46058 1 1 1 0 -.2 17 .1074998 196.4 0 6.860707 0 1 840 0 0 1 1 2.5262 .95349 1.73 456 149 46068 0 0 0 1 . . . . . 32.67544 0 2 840 13 1.53 0 0 3.1137 .95349 3.06 456 149 46068 1 0 0 1 1.33 13 .5874999 -363.92 -1 32.67544 0 1 870 59 2.16 1 0 2.9878 1.07143 2.25 312 230 46146 0 0 0 1 . . . . . 73.71795 1 2 870 71 2.18 0 0 2.7057 1.07143 1.75 312 230 46146 1 0 0 1 -.5 12 -.2821 -251 -1 73.71795 1 1 990 28 1.96 1 0 2.6091 .62295 1.94 500 73 46239 0 0 0 1 . . . . . 14.6 0 2 990 44 1.95 1 0 2.5235 .62295 2.19 500 73 46239 1 0 0 1 .25 16 -.0856001 414.2 0 14.6 0 1 710 30 2.1 1 0 2.7473 1.21875 1.58 456 182 46247 0 1 1 0 . . . . . 39.91228 0 2 710 42 1.95 1 0 2.9964 1.21875 2.38 456 182 46247 1 1 1 0 .8000001 12 .2491002 -439.9 0 39.91228 0 1 760 0 0 0 1 2.8348 .9 1.88 235 143 46294 0 0 0 1 . . . . . 60.85106 0 2 760 15 1.8 1 0 2.7264 .9 .88 235 143 46294 1 0 0 1 -1 15 -.1084001 296.14 1 60.85106 0 1 770 0 0 1 1 2.7998 .925 2.15 512 339 46348 0 1 0 1 . . . . . 66.21094 0 2 770 12 2.25 1 0 2.9711 .925 2.5 512 339 46348 1 1 0 1 .3499999 12 .1713002 -129.25 0 66.21094 0 1 890 28 1.92 1 0 2.6096 .85417 2.5 718 429 46563 0 0 0 1 . . . . . 59.7493 0 2 890 40 2.1 0 0 2.6545 .85417 2.63 718 429 46563 1 0 0 1 .1300001 12 .0448999 120.67 -1 59.7493 0 1 910 83 2.13 1 0 2.8147 .82 1.5 595 448 46717 0 0 0 1 . . . . . 75.29412 0 2 910 101 2.01 0 0 3.0615 .82 2.29 595 448 46717 1 0 0 1 .79 18 .2468002 -76.03998 -1 75.29412 0 1 1020 63 2.6 1 0 2.5607 .88889 2.42 10 1 46765 0 0 0 1 . . . . . 10 0 2 1020 75 2.57 0 0 2.8106 .88889 2.69 10 1 46765 1 0 0 1 .27 12 .2499001 -72.33 -1 10 0 1 1060 29 3.58 1 0 2.6992 .82759 3 542 72 46775 0 0 0 1 . . . . . 13.28413 1 2 1060 41 3.41 0 0 2.527 .82759 2.75 542 72 46775 1 0 0 1 -.25 12 -.1722 309 -1 13.28413 1 1 860 0 0 1 1 2.3843 .65385 .92 509 315 46778 0 0 0 1 . . . . . 61.88605 1 2 860 13 .92 0 0 2.7565 .65385 2 509 315 46778 1 0 0 1 1.08 13 .3722 833.95 -1 61.88605 1 1 920 0 0 1 1 2.4768 .76923 2.27 509 106 46795 0 0 0 1 . . . . . 20.82515 0 2 920 15 2.26 1 0 2.6008 .76923 2.5 509 106 46795 1 0 0 1 .23 15 .1240001 -148.33 0 20.82515 0 1 910 0 0 1 1 2.391 .625 2.8 69 12 46887 0 1 1 0 . . . . . 17.3913 0 2 910 18 2.77 1 0 2.6593 .625 2.63 69 12 46887 1 1 1 0 -.1699998 18 .2683001 -136 0 17.3913 0 1 700 57 2.05 1 0 2.9255 .66667 2.5 625 202 46948 0 0 1 0 . . . . . 32.32 0 2 700 69 2.13 1 0 3.0539 .66667 2.5 625 202 46948 1 0 1 0 0 12 .1284001 -46.25 0 32.32 0 1 1170 64 2.21 1 0 2.6344 .74627 2.17 177 53 47220 0 0 0 1 . . . . . 29.9435 1 2 1170 76 2.21 0 0 2.8945 .74627 2.8 177 53 47220 1 0 0 1 .6299999 12 .2601001 -207.8 -1 29.9435 1 1 1010 27 2.44 1 0 2.7771 .83636 2.2 322 168 47225 0 0 0 1 . . . . . 52.17391 0 2 1010 42 2.35 1 0 3.1293 .83636 2.5 322 168 47225 1 0 0 1 .3 15 .3522 -81.10001 0 52.17391 0 1 700 0 0 1 1 2.6287 .89189 2.5 200 80 47367 0 1 0 0 . . . . . 40 0 2 700 12 2.5 1 0 2.7945 .89189 2.8 200 80 47367 1 1 0 0 .3 12 .1658001 313.3 0 40 0 ; data gpa3sp; set gpa3; if term = 2; run; /* Get the White's Variance-Covariance matrix for the OLS coefficient estimates by using the "acov" option in PROC REG. The White's standard errors for the OLS coefficient estimates are obtained by taking the square roots of the diagonal elements of the "acov" variance-covariance matrix. */ title 'OLS Estimation of cumgpa data'; title2 'White Heteroskedasticity Consistent Variance-Covariance Matrix'; proc reg data = gpa3sp; model cumgpa = sat hsperc tothrs female black white / acov; output out=result r=resid p=yhat; run; /* Here we are working on getting the ingredients for White's test for heteroskedasticy (without cross product terms) and his "Special Case" test and later computing feasible weighted least squares estimates of the cumgpa equation. */ data heter; set result; resid2 = resid**2; logu2 = log(resid2); yhat2 = yhat**2; /* Now we conduct the White's test for heteroskedasticity (without cross product terms). See p. 266 in Wooldridge. Note that the F-statistic produced by the test statement is equal to the overall F-statistic produced in the ANOVA Table. */ title 'White Test for heteroskedasticity without cross product terms'; proc reg data = heter; model resid2 = sat hsperc tothrs female black white; test sat, hsperc, tothrs, female, black, white; run; /* Now we conduct the "Special Case" of White's test for heteroskedasticity. See page 269 in Wooldridge. Note that the F-statistic produced by the test statement is equal to the overall F-statistic produced in the ANOVA Table. */ title 'Special Case White Test for heteroskedasticity'; proc reg data = heter; model resid2 = yhat yhat2; test yhat, yhat2; run; /* Let's set up a multiplicative heteroskedasticity estimating equation involving the variables sat and tothrs. See p. 277 in Wooldridge. We do this because (1) the t-statistics for the variables sat and tothrs are significant in the White's Heteroskedasticity test equation above and (2) if one uses SAS INSIGHT to produce residual plots of uhat versus sat and uhat versus tothrs one can see the heteroskadasticity in the residual plots. */ title 'Regression to help us get weight for WLS'; proc reg data = heter; model logu2 = sat tothrs; output out = result2 p = g; data heter2; set result2; h = exp(g); weight = 1/h; sqrtwght = sqrt(weight); data gpa3sp; merge gpa3sp heter2; cumgpas = cumgpa*sqrtwght; inters = sqrtwght; sats = sat*sqrtwght; hspercs = hsperc*sqrtwght; tothrss = tothrs*sqrtwght; females = female*sqrtwght; blacks = black*sqrtwght; whites = white*sqrtwght; /* Here we obtain Feasible Weighted Least Squares estimates assuming the heteroskedasticity is of the multiplicative form and involves sat and tothrs. We apply OLS to the transformed regression equation. Notice that the "noint" option is used in the PROC REG model statement because the transformed equation does not have an intercept term per se. */ title 'Feasible WLS Estimation by Brute Force'; proc reg data = gpa3sp; model cumgpas = inters sats hspercs tothrss females blacks whites / noint; test blacks, whites; run; /* Just to show a short cut, SAS PROC REG will compute the Feasible Weighted Least Squares estimates if we use the "Weight" option in PROC REG. */ title 'Feasible WLS Estimation by using PROC REG Weight option'; proc reg data = gpa3sp; model cumgpa = sat hsperc tothrs female black white; weight weight; test black, white; run; /* Notice that the results for these last two regressions are exactly the same. */