dataset = brain begin description Gladstone, R.J. (1905-1906), A Study of the Relations of the Brain to the Size of the Head," {\em Biometrika,} 4, 105-123. This is the full data set except observations 188 and 239 have been removed. 188 3 46 66 116 185 143 3069 1022 -1 77.3 0 2 239 1 .75 28 114 155 117 2067 -1 -1 75.5 1 0 If columns 4,5,6,7,9, and 10 are used as predictors (skullht, length, breadth, size, circ, and cephalic) and column 8 brnweight is used as the dependent variable. This gives the least squares fit Intercept skullht length breadth size circum cephalic -2243.946 8.199323 9.927544 -5.687941 0.03645403 0.2224141 15.0489 Contributed by David Olive. A "-1" stands for a missing value. cause=cause of death, acute = 1, - = 2, chronic = 3 age = age height= stature in inches skullht=skull height in mm length=head length in mm breadth=head breadth in mm size= skullht*length*breadth, a measure of head size or volume brnweight=y=brain weight in grams circum = head circumference cephalic = cephalic index sex = gender 0=f, 1=m ageclass = 0-child, 1- age 20-45, 2 over 45 end description begin variables Co1 0 = Obs Co1 1 = cause Co1 2 = age Col 3 = height Col 4 = skullht Col 5 = length Col 6 = breadth Col 7 = size Col 8 = brnweight Col 9 = circum Col 10 = cephalic Col 11 = sex Col 12 = ageclass end variables begin data 1 2 -1 67 141 200 160 4512 1530 574 80.0 1 1 2 1 39 68 137 182.5 149.5 3738 1297 550 81.9 1 1 3 3 35 71 139 201 152.5 4261 1335 569 75.9 1 1 4 3 35 70 134.5 193 145.5 3777 1282 542 75.4 1 1 5 1 37 68 140 195 153 4177 1590 576 78.5 1 1 6 2 34 65 132 186 146 3585 1300 547 78.5 1 1 7 3 38 68 137.5 192.5 143 3785 1400 549 74.2 1 1 8 3 45 69.5 134.5 189 140 3559 1255 535 74.1 1 1 9 2 45 68 132.5 185.5 147 3613 1355 555 79.2 1 1 10 2 40 64 135 196 150.5 3982 1375 565 76.7 1 1 11 3 21 66 132 185 141 3443 1340 537 76.2 1 1 12 2 42 63 136.5 197 148.5 3993 1380 570 75.4 1 1 13 2 25 69.75 136 188.5 142 3640 1355 558 75.3 1 1 14 1 23 66.5 138 198 154 4208 1522 576 77.8 1 1 15 2 45 71 132 191 152 3832 1208 561 79.6 1 1 16 1 41 60.5 135 194 148 3876 1405 569 76.3 1 1 17 1 28 63.5 130 183 147 3497 1358 551 80.3 1 1 18 3 45 65 130 184.5 144.5 3466 1292 541 78.3 1 1 19 1 20 71.5 126 178 138 3095 1340 517 77.5 1 1 20 3 43 68 144 192 160 4424 1400 580 83.3 1 1 21 3 43 68.5 137 190 149 3878 1357 568 78.4 1 1 22 2 25 68.5 130 197 158 4046 1287 582 80.2 1 1 23 3 29 68.5 137.5 189.5 146 3804 1275 554 77.0 1 1 24 3 40 68.5 135 182 151 3710 1270 541 83.0 1 1 25 1 -1 71 142 199 168 4747 1635 602 84.4 1 1 26 1 40 72.5 135 195 168 4423 1505 577 86.2 1 1 27 2 29 69.25 135 198 151 4036 1490 564 76.3 1 1 28 2 35 70.5 138 193 151 4022 1485 570 78.2 1 1 29 2 27 69.5 135 184 139 3454 1310 537 75.5 1 1 30 1 20 69 142 200 147 4175 1420 574 73.5 1 1 31 3 38 68.5 136 182 153 3787 1318 567 84.1 1 1 32 2 24 69.75 135 190 148 3796 1432 564 77.9 1 1 33 2 41 70.5 138 187 159 4103 1364 574 85.0 1 1 34 3 45 71 137 191 159 4161 1405 584 83.2 1 1 35 3 41 67 139 195.5 153 4158 1432 574 78.3 1 1 36 2 37 61 134 191 149 3814 1207 548 78.0 1 1 37 2 29 65 135 184 142 3527 1375 530 77.2 1 1 38 1 36 61.5 131 187 153 3748 1350 560 81.8 1 1 39 3 21 61 129 182 142 3334 1236 528 78.0 1 1 40 3 38 62.5 129 192 141 3492 1250 540 73.4 1 1 41 3 42 61.5 134 194.5 152 3962 1350 558 78.1 1 1 42 3 43 62.5 129 190 143 3505 1320 539 75.3 1 1 43 3 37 66 138.5 201 155 4315 1525 587 77.1 1 1 44 1 31 67.5 130 190 154 3804 1570 550 81.1 1 1 45 3 34 69 131.5 192 153 3863 1340 563 79.7 1 1 46 3 44 69 134 193 156 4034 1422 578 80.8 1 1 47 3 24 69.5 142 192 158 4308 1506 569 82.3 1 1 48 3 28 68.5 124 181 141 3165 1215 510 77.9 1 1 49 3 44 67 134 190 143 3641 1311 545 75.3 1 1 50 1 43 66.5 132.5 191 144 3644 1300 555 75.4 1 1 51 3 44 68.5 130.5 193 154.5 3891 1224 570 80.1 1 1 52 1 38 68.5 132 193.5 148.5 3793 1350 560 76.7 1 1 53 3 35 70 136 195 161 4270 1335 558 82.6 1 1 54 1 39 69 132 190 162 4063 1390 557 85.3 1 1 55 1 36 69 135 193 154 4012 1400 569 79.8 1 1 56 3 43 66 125 182 152 3458 1225 538 83.5 1 1 57 3 42 60.5 134 191 152 3890 1310 549 79.6 1 1 58 2 50 68 140 192 155 4166 1560 560 80.7 1 2 59 3 47 69 139 190 149 3935 1330 544 78.4 1 2 60 2 47 67 132 193 144 3669 1222 556 74.6 1 2 61 3 49 64.5 133 190 153 3866 1415 553 80.5 1 2 62 1 50 69 130 180 145 3393 1175 530 80.6 1 2 63 3 48 69.5 139 201 159 4442 1330 585 79.1 1 2 64 2 47 69 136.5 201 155 4253 1485 585 77.1 1 2 65 1 50 72.25 129.5 195 148 3737 1470 568 75.9 1 2 66 1 48 64.5 124.5 182.5 146.5 3329 1135 541 80.3 1 2 67 2 47 67 132 183.5 141 3415 1310 548 76.8 1 2 68 2 50 68 122 188 147 3372 1154 550 78.2 1 2 69 3 48 68 141 204 154 4430 1510 583 75.5 1 2 70 2 49 68.5 139 197 160 4381 1415 589 81.2 1 2 71 3 48 69.5 138.5 191 151.5 4008 1468 564 79.3 1 2 72 2 49 69 135 188 152 3858 1390 563 80.9 1 2 73 2 48 66 137 188 160 4121 1380 576 85.1 1 2 74 1 50 69.5 131 196 158 4057 1432 575 80.6 1 2 75 3 69 69.5 136 190 148 3824 1240 560 77.9 1 2 76 2 -1 63 126 184.5 146 3394 1195 540 79.1 1 2 77 1 58 67 131 183.5 148 3558 1225 540 80.7 1 2 78 2 57 69 130.5 184 140 3362 1188 544 76.1 1 2 79 3 67 68.5 137 187.5 153 3930 1252 569 81.6 1 2 80 1 61 66 136 188 150 3835 1315 552 79.8 1 2 81 2 53 69 138 185 150 3830 1245 545 81.1 1 2 82 1 60 68.5 139 190 146 3856 1430 564 76.8 1 2 83 3 58 70 128 180 141 3249 1279 532 78.3 1 2 84 3 55 67.5 131 187 146 3577 1245 572 78.1 1 2 85 1 57 67 132 196 152 3933 1309 569 77.6 1 2 86 2 75 67.5 133 193 150 3850 1412 553 77.7 1 2 87 2 63 61 125.5 187 141 3309 1120 534 75.4 1 2 88 2 69 67.25 128.5 188 141 3406 1220 540 75 1 2 89 1 -1 65 130 186 145 3506 1280 538 78 1 2 90 3 52 63.25 132 196 151 3907 1440 552 77 1 2 91 3 66 71.5 142 194 151 4160 1370 570 77.8 1 2 92 3 67 69.5 128 180 144 3318 1192 531 80.0 1 2 93 2 67 67 138 183 145 3662 1230 524 79.2 1 2 94 1 53 63 137 191 149 3899 1346 568 78.0 1 2 95 3 55 63 132 196 143 3700 1290 551 73.0 1 2 96 1 56 65 133 192 148 3779 1165 558 77.1 1 2 97 3 54 65 130 185.5 144 3473 1240 530 77.6 1 2 98 3 59 63 136 182 141 3490 1132 528 77.5 1 2 99 1 65 65.5 128 183 156 3654 1242 544 85.2 1 2 100 3 59 64 128 190 143 3478 1270 536 75.3 1 2 101 3 60 65.5 128 184.5 148 3495 1218 525 80.2 1 2 102 1 60 69 130.5 192 153 3834 1430 579 79.7 1 2 103 3 60 68 135 194 148 3876 1586 555 76.3 1 2 104 3 62 65 130.5 187 150 3661 1320 548 80.2 1 2 105 1 70 67 128 191 148 3618 1290 565 77.5 1 2 106 1 59 67.5 126.5 191 151 3648 1260 558 79.0 1 2 107 1 51 68 140.5 200 143.5 4032 1425 565 71.7 1 2 108 3 57 66 128.5 185 143 3399 1226 542 77.3 1 2 109 3 51 68.5 133.5 193 152 3916 1360 556 78.8 1 2 110 1 65 70.5 139 203 157 4430 1620 585 77.3 1 2 111 3 56 66 130 189.5 150 3695 1310 549 79.2 1 2 112 3 75 72.5 125.5 193 145.5 3524 1250 555 75.3 1 2 113 3 47 69.5 124 192 150 3571 1295 561 78.1 1 2 114 3 57 67.25 129 187 149 3594 1290 555 79.7 1 2 115 3 62 69.75 123 184 149.5 3383 1290 536 81.2 1 2 116 3 84 50.5 127 190 145 3499 1275 545 76.3 1 2 117 3 48 61.5 128.5 190 147 3589 1250 549 77.4 1 2 118 3 58 68.5 134 189 154 3900 1270 557 81.5 1 2 119 1 63 67.5 136 199 152 4114 1362 588 76.4 1 2 120 3 52 67 133 191 155 3937 1300 558 81.2 1 2 121 1 57 66 126 183 147 3399 1173 544 80.3 1 2 122 1 52 69 132 192 164 4200 1256 563 85.4 1 2 123 2 58 72 134 212 158 4488 1440 585 74.5 1 2 124 3 63 65 129 188 149 3614 1180 551 79.3 1 2 125 1 57 67.5 133 194 157 4051 1306 573 80.9 1 2 126 1 46 69 134 196 144 3782 1350 556 73.5 1 2 127 3 61 64 128 184 144 3391 1125 531 78.3 1 2 128 2 58 66 126 171 145 3124 1165 534 84.4 1 2 129 2 55 65 141.5 186 154 4053 1312 558 82.8 1 2 130 3 50 66 125.5 189 151 3582 1300 547 79.9 1 2 131 3 52 66 129 196 145 3666 1270 556 74.0 1 2 132 2 51 67 128 189 146 3532 1335 553 77.2 1 2 133 2 63 69 131 198 156 4046 1450 583 78.8 1 2 134 2 72 66.5 132 184 151 3667 1310 554 82.1 1 2 135 3 36 -1 114 179 140 2857 1027 570 78.2 0 1 136 2 20 63 133.5 184.5 139.5 3436 1235 523 75.6 0 1 137 2 35 63.5 132.5 187 153 3791 1260 558 81.8 0 1 138 2 40 60 126 182 144 3302 1165 532 79.1 0 1 139 2 30 51 126 178.5 138 3104 1080 498.5 77.3 0 1 140 2 33 58 122.5 181 143 3171 1127 531 79.0 0 1 141 2 -1 64 137 175 149 3572 1270 532 85.1 0 1 142 2 42 62 132 187 143 3530 1252 552 76.5 0 1 143 2 35 66 126 180 140 3175 1200 521 77.8 0 1 144 2 31 66 131 181 145 3438 1290 539 80.1 0 1 145 3 35 64 128 193 158 3903 1334 554 81.9 0 1 146 1 23 69 142 176 156 3899 1380 555 88.6 0 1 147 1 38 65.5 129 185 142.5 3401 1140 542 77.0 0 1 148 2 23 67.5 128 181 141 3267 1243 540 77.9 0 1 149 2 32 70 133 184 141 3451 1340 532 76.6 0 1 150 3 34 58 126 179 137 3090 1168 505 76.5 0 1 151 3 37 60 132 186 139 3413 1322 532 74.7 0 1 152 2 39 64 129.5 182 141 3323 1249 521 77.5 0 1 153 2 34 63 134.5 190 144 3680 1321 552 75.8 0 1 154 2 41 66.5 127.5 183.5 147 3439 1192 533 80.1 0 1 155 3 43 66.5 136 187 151.5 3853 1373 565 81.0 0 1 156 3 33 59 128 180 137 3156 1170 530 76.1 0 1 157 3 28 64 129 179 142 3279 1265 528 79.3 0 1 158 3 33 67 132 186 151 3707 1235 560 81.2 0 1 159 1 34 66 138 191 152 4006 1302 546 79.6 0 1 160 3 38 65.5 131 177 141 3269 1241 523 79.7 0 1 161 3 45 68 125 178 138 3071 1078 514 77.5 0 1 162 1 25 67 136 181 153.5 3779 1520 550 84.8 0 1 163 2 39 62 133 184 145 3548 1460 535 78.8 0 1 164 3 36 61 131 179.5 140 3292 1075 519 78.0 0 1 165 3 36 62.5 130 183 147 3497 1280 535 80.3 0 1 166 3 40 60 123.5 174.5 143 3082 1180 513 81.9 0 1 167 2 22 58.5 126 179 144 3248 1250 513 80.4 0 1 168 3 40 63.5 125 184 146 3358 1190 528 79.3 0 1 169 3 40 61.5 130.5 193 151 3803 1374 548 78.2 0 1 170 3 40 65 128.5 185 150 3566 1306 535 81.1 0 1 171 3 30 63 126 177 141 3145 1202 502 79.7 0 1 172 3 42 64.5 128.5 188 145 3503 1240 539 77.1 0 1 173 3 34 63.5 131 188 145 3571 1316 540 77.1 0 1 174 3 42 62.5 130.5 189 151 3724 1280 543 79.9 0 1 175 3 39 63.5 126 190 151 3615 1350 555 79.5 0 1 176 3 39 62.5 128 175 143 3203 1180 515 81.7 0 1 177 3 24 64 132 186 147 3609 1210 560 79.0 0 1 178 3 44 64.5 128.5 188.5 147 3561 1127 541 78.0 0 1 179 3 24 64.5 136 190 154 3979 1324 552 81.1 0 1 180 3 30 63.5 134 187 141 3533 1210 540 75.4 0 1 181 3 37 63.75 137 187 144 3689 1290 530 77.0 0 1 182 3 33 55 120 179 147 3158 1100 490 82.1 0 1 183 3 38 67 132 197 154 4005 1280 578 78.2 0 1 184 1 26 64.5 128 175 142 3181 1175 545 81.1 0 1 185 3 25 61.5 129 186 145 3479 1160 542 78.0 0 1 186 3 35 63 129.5 190 148 3642 1205 547 77.9 0 1 187 3 21 66.5 128.5 191 148 3632 1163 541 77.5 0 1 189 3 50 60 132 187 137.5 3394 1243 528 73.5 0 2 190 3 46 66 139 185 144 3703 1350 532 77.8 0 2 191 3 50 63 124 181 141 3165 1237 522 77.9 0 2 192 3 46 67.5 130 183 141 3354 1204 522 77 0 2 193 3 49 60.5 123 173 141 3000 1090 514 81.5 0 2 194 3 49 65.5 132 185 151 3687 1355 545 81.6 0 2 195 3 48 64 129 185 149 3556 1250 530 80.5 0 2 196 3 47 66.5 120.5 177 130 2773 1076 516 73.4 0 2 197 3 53 64 130 168 140 3058 1120 515 83.3 0 2 198 3 56 60 131 187 136.5 3344 1220 531 73.0 0 2 199 2 64 61.5 132 182.5 145 3493 1240 540 79.7 0 2 200 3 69 62.5 125.5 185 142 3297 1220 525 76.8 0 2 201 3 60 61 130 182 142 3360 1095 515 78.0 0 2 202 3 55 61.5 129 180 139 3228 1235 518 77.2 0 2 203 3 55 59 129 174 146 3277 1105 506 83.9 0 2 204 2 53 61 133 188 154 3851 1405 577 81.9 0 2 205 3 60 60.5 126 179 136 3067 1150 518 76.0 0 2 206 3 54 60.5 129.5 181 157.5 3692 1305 548 87.0 0 2 207 3 60 64.5 132 179 144 3402 1220 523 80.4 0 2 208 2 62 62.5 136 192 153 3995 1296 561 79.7 0 2 209 3 53 61 128 180 144 3318 1175 523 80.0 0 2 210 3 68 61 120 173 131 2720 955 502 75.7 0 2 211 3 63 62.5 126.5 172 135 2937 1070 520 78.5 0 2 212 2 51 66 134 183 146 3580 1320 532 79.8 0 2 213 3 78 58.5 121 176 138 2939 1060 509 78.4 0 2 214 3 57 61 123 180 135 2989 1130 525 75.0 0 2 215 2 68 64 128 188 149 3586 1250 540 79.3 0 2 216 3 58 60.5 124 178 143 3156 1225 515 80.3 0 2 217 3 59 65 127 180 142 3246 1180 524 78.9 0 2 218 3 49 57 126 181 139 3170 1178 512 76.8 0 2 219 3 56 60 122 186 144 3268 1142 541 77.4 0 2 220 3 58 59 133 182 140 3389 1130 520 76.9 0 2 221 3 62 62.5 128.5 184 143 3381 1185 528 77.7 0 2 222 3 67 63 124 175 132 2864 1012 509 75.4 0 2 223 2 47 64 133 185 152 3740 1280 547 82.2 0 2 224 3 64 59 131.5 180 147 3479 1103 532 81.7 0 2 225 3 47 65 131 192 145 3647 1408 565 75.5 0 2 226 1 74 63 128 191 152 3716 1300 564 79.6 0 2 227 3 67 62 125 185 142 3284 1246 528 76.8 0 2 228 1 50 -1 142 191 155 4204 1380 559 81.2 0 2 229 3 63 63 130 189 152 3735 1350 548 80.4 0 2 230 1 74 62 121 186 143 3218 1060 542 76.9 0 2 231 3 49 65.5 137 185.5 145 3685 1350 535 78.2 0 2 232 3 46 67 135 196 140 3704 1220 521 71.4 0 2 233 3 46 62.5 126.5 174 146 3214 1110 532 83.9 0 2 234 3 50 64.5 125 181 150 3394 1215 542 82.9 0 2 235 3 63 58.5 127 178 143 3233 1104 522 80.3 0 2 236 3 56 64.5 126.5 184 144 3352 1170 533 78.3 0 2 237 3 63 62 128 179 148 3391 1120 537 82.7 0 2 238 3 .21 22 89.5 125 95 1063 450 361 76.0 1 0 240 2 1.7 37.5 119 168 125 2499 1052 481 74.4 1 0 241 2 2.5 31.75 111 160 131 2327 1015 474 81.9 1 0 242 2 2.5 33 121 172 135.5 2820 1120 486 78.8 1 0 243 2 2.7 38 116 162 139 2612 1240 483 85.8 1 0 244 1 3 37 124.4 181 137 3087 1310 514 75.7 1 0 245 3 3.5 35.5 121 170 129.5 2664 1095 476 76.2 1 0 246 3 3.8 34 127 174 135 2983 1080 501 77.6 1 0 247 2 4 39 127 173 134 2944 1202 501 77.5 1 0 248 2 5 37.5 125 170 132 2805 1200 490 77.7 1 0 249 3 7 46 127 175 140 3112 1375 504 80.0 1 0 250 2 8 43 131.5 192 140 3535 1450 530 72.9 1 0 251 2 10 52 137.5 187 149.5 3844 1417 539 79.9 1 0 252 3 11 55 130 181 145 3412 1412 532 80.1 1 0 253 1 12 65 136 183 141 3509 1379 540 77.1 1 0 254 3 12 48.5 122.5 183 142 3183 1322 528 77.6 1 0 255 2 12.5 56.5 134 184 143 3526 1454 530 77.7 1 0 256 3 15 62.5 141 190.5 151 4056 1618 547 79.2 1 0 257 3 17 67 129 189 150.5 3669 1095 536 79.6 1 0 258 3 18 71 131 172 142 3200 1230 520 82.6 1 0 259 3 19 67 143 187 146 3904 1460 556 78.1 1 0 260 1 19 67.5 135 191 157 4048 1278 558 82.2 1 0 261 1 19 65.5 133 188.5 147.5 3698 1412 540 78.2 1 0 262 2 19 69.5 138 189 149 3886 1450 547 78.8 1 0 263 2 .06 21.5 92.5 114 88.5 933 385 324 77.6 0 0 264 3 .21 22 94.5 129.5 99 1212 490 369 76.4 0 0 265 3 .42 22.5 88.5 129 95 1085 512 368 73.6 0 0 266 3 .5 24.5 100 132.5 104.5 1385 503 385 78.8 0 0 267 3 .67 25 118 144 126 2141 960 437 87.5 0 0 268 3 2.5 33.5 124 172 132 2815 995 496 76.7 0 0 269 1 3.5 38.5 114 164 126 2356 1100 475 76.8 0 0 270 2 7 47 121 169 131 2679 1120 493 77.5 0 0 271 3 7 48 118 174 133 2731 1205 485 76.4 0 0 272 3 15 61.5 128 185 139 3292 1205 518 75.1 0 0 273 3 17 61 125.5 178 143.5 3206 1180 524 80.6 0 0 274 3 18 53.5 125 179 135 3021 1147 507 75.4 0 0 275 3 18 66 139 186 151 3904 1419 554 81.2 0 0 276 2 19 65 131 179 141 3306 1245 512 78.8 0 0