/* This is the Boston data set. It has been randomly partitioned into 50% training, 30% validation, and 20% test data sets using the XLMiner program. The seed 12345 was used. Then the the partitioned data was cut and pasted into this SAS program. Lines 1 - 253 represent the training data set. Lines 254 - 405 represent the validation data set (152 obs). Lines 406 - 506 represent the test data set (a total of 101 obs). */ data boston; input CASE CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT MEDV; datalines; 1 0.00632 18 2.31 0 0.538 6.575 65.2 4.09 1 296 15.3 396.9 4.98 24 4 0.03237 0 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 394.63 2.94 33.4 5 0.06905 0 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 396.9 5.33 36.2 6 0.02985 0 2.18 0 0.458 6.43 58.7 6.0622 3 222 18.7 394.12 5.21 28.7 9 0.21124 12.5 7.87 0 0.524 5.631 100 6.0821 5 311 15.2 386.63 29.93 16.5 10 0.17004 12.5 7.87 0 0.524 6.004 85.9 6.5921 5 311 15.2 386.71 17.1 18.9 12 0.11747 12.5 7.87 0 0.524 6.009 82.9 6.2267 5 311 15.2 396.9 13.27 18.9 17 1.05393 0 8.14 0 0.538 5.935 29.3 4.4986 4 307 21 386.85 6.58 23.1 18 0.7842 0 8.14 0 0.538 5.99 81.7 4.2579 4 307 21 386.75 14.67 17.5 21 1.25179 0 8.14 0 0.538 5.57 98.1 3.7979 4 307 21 376.57 21.02 13.6 26 0.84054 0 8.14 0 0.538 5.599 85.7 4.4546 4 307 21 303.42 16.51 13.9 29 0.77299 0 8.14 0 0.538 6.495 94.4 4.4547 4 307 21 387.94 12.8 18.4 30 1.00245 0 8.14 0 0.538 6.674 87.3 4.239 4 307 21 380.23 11.98 21 32 1.35472 0 8.14 0 0.538 6.072 100 4.175 4 307 21 376.73 13.04 14.5 35 1.61282 0 8.14 0 0.538 6.096 96.9 3.7598 4 307 21 248.31 20.34 13.5 36 0.06417 0 5.96 0 0.499 5.933 68.2 3.3603 5 279 19.2 396.9 9.68 18.9 37 0.09744 0 5.96 0 0.499 5.841 61.4 3.3779 5 279 19.2 377.56 11.41 20 38 0.08014 0 5.96 0 0.499 5.85 41.5 3.9342 5 279 19.2 396.9 8.77 21 39 0.17505 0 5.96 0 0.499 5.966 30.2 3.8473 5 279 19.2 393.43 10.13 24.7 41 0.03359 75 2.95 0 0.428 7.024 15.8 5.4011 3 252 18.3 395.62 1.98 34.9 43 0.1415 0 6.91 0 0.448 6.169 6.6 5.7209 3 233 17.9 383.37 5.81 25.3 44 0.15936 0 6.91 0 0.448 6.211 6.5 5.7209 3 233 17.9 394.46 7.44 24.7 45 0.12269 0 6.91 0 0.448 6.069 40 5.7209 3 233 17.9 389.39 9.55 21.2 48 0.22927 0 6.91 0 0.448 6.03 85.5 5.6894 3 233 17.9 392.74 18.8 16.6 49 0.25387 0 6.91 0 0.448 5.399 95.3 5.87 3 233 17.9 396.9 30.81 14.4 51 0.08873 21 5.64 0 0.439 5.963 45.7 6.8147 4 243 16.8 395.56 13.45 19.7 52 0.04337 21 5.64 0 0.439 6.115 63 6.8147 4 243 16.8 393.97 9.43 20.5 54 0.04981 21 5.64 0 0.439 5.998 21.4 6.8147 4 243 16.8 396.9 8.43 23.4 55 0.0136 75 4 0 0.41 5.888 47.6 7.3197 3 469 21.1 396.9 14.8 18.9 56 0.01311 90 1.22 0 0.403 7.249 21.9 8.6966 5 226 17.9 395.93 4.81 35.4 58 0.01432 100 1.32 0 0.411 6.816 40.5 8.3248 5 256 15.1 392.9 3.95 31.6 62 0.17171 25 5.13 0 0.453 5.966 93.4 6.8185 8 284 19.7 378.08 14.44 16 64 0.1265 25 5.13 0 0.453 6.762 43.4 7.9809 8 284 19.7 395.58 9.5 25 65 0.01951 17.5 1.38 0 0.4161 7.104 59.5 9.2229 3 216 18.6 393.24 8.05 33 66 0.03584 80 3.37 0 0.398 6.29 17.8 6.6115 4 337 16.1 396.9 4.67 23.5 67 0.04379 80 3.37 0 0.398 5.787 31.1 6.6115 4 337 16.1 396.9 10.24 19.4 68 0.05789 12.5 6.07 0 0.409 5.878 21.4 6.498 4 345 18.9 396.21 8.1 22 69 0.13554 12.5 6.07 0 0.409 5.594 36.8 6.498 4 345 18.9 396.9 13.09 17.4 71 0.08826 0 10.81 0 0.413 6.417 6.6 5.2873 4 305 19.2 383.73 6.72 24.2 73 0.09164 0 10.81 0 0.413 6.065 7.8 5.2873 4 305 19.2 390.91 5.52 22.8 75 0.07896 0 12.83 0 0.437 6.273 6 4.2515 5 398 18.7 394.92 6.78 24.1 76 0.09512 0 12.83 0 0.437 6.286 45 4.5026 5 398 18.7 383.23 8.94 21.4 77 0.10153 0 12.83 0 0.437 6.279 74.5 4.0522 5 398 18.7 373.66 11.97 20 81 0.04113 25 4.86 0 0.426 6.727 33.5 5.4007 4 281 19 396.9 5.29 28 82 0.04462 25 4.86 0 0.426 6.619 70.4 5.4007 4 281 19 395.63 7.22 23.9 87 0.05188 0 4.49 0 0.449 6.015 45.1 4.4272 3 247 18.5 395.99 12.86 22.5 89 0.0566 0 3.41 0 0.489 7.007 86.3 3.4217 2 270 17.8 396.9 5.5 23.6 90 0.05302 0 3.41 0 0.489 7.079 63.1 3.4145 2 270 17.8 396.06 5.7 28.7 92 0.03932 0 3.41 0 0.489 6.405 73.9 3.0921 2 270 17.8 393.55 8.2 22 94 0.02875 28 15.04 0 0.464 6.211 28.9 3.6659 4 270 18.2 396.33 6.21 25 95 0.04294 28 15.04 0 0.464 6.249 77.3 3.615 4 270 18.2 396.9 10.59 20.6 96 0.12204 0 2.89 0 0.445 6.625 57.8 3.4952 2 276 18 357.98 6.65 28.4 97 0.11504 0 2.89 0 0.445 6.163 69.6 3.4952 2 276 18 391.83 11.34 21.4 101 0.14866 0 8.56 0 0.52 6.727 79.9 2.7778 5 384 20.9 394.76 9.42 27.5 102 0.11432 0 8.56 0 0.52 6.781 71.3 2.8561 5 384 20.9 395.58 7.67 26.5 104 0.21161 0 8.56 0 0.52 6.137 87.4 2.7147 5 384 20.9 394.47 13.44 19.3 105 0.1396 0 8.56 0 0.52 6.167 90 2.421 5 384 20.9 392.69 12.33 20.1 110 0.26363 0 8.56 0 0.52 6.229 91.2 2.5451 5 384 20.9 391.23 15.55 19.4 111 0.10793 0 8.56 0 0.52 6.195 54.4 2.7778 5 384 20.9 393.49 13 21.7 119 0.13058 0 10.01 0 0.547 5.872 73.1 2.4775 6 432 17.8 338.63 15.37 20.4 121 0.06899 0 25.65 0 0.581 5.87 69.7 2.2577 2 188 19.1 389.15 14.37 22 122 0.07165 0 25.65 0 0.581 6.004 84.1 2.1974 2 188 19.1 377.67 14.27 20.3 123 0.09299 0 25.65 0 0.581 5.961 92.9 2.0869 2 188 19.1 378.09 17.93 20.5 125 0.09849 0 25.65 0 0.581 5.879 95.8 2.0063 2 188 19.1 379.38 17.58 18.8 127 0.38735 0 25.65 0 0.581 5.613 95.6 1.7572 2 188 19.1 359.29 27.26 15.7 128 0.25915 0 21.89 0 0.624 5.693 96 1.7883 4 437 21.2 392.11 17.19 16.2 131 0.34006 0 21.89 0 0.624 6.458 98.9 2.1185 4 437 21.2 395.04 12.6 19.2 133 0.59005 0 21.89 0 0.624 6.372 97.9 2.3274 4 437 21.2 385.76 11.12 23 136 0.55778 0 21.89 0 0.624 6.335 98.2 2.1107 4 437 21.2 394.67 16.96 18.1 139 0.2498 0 21.89 0 0.624 5.857 98.2 1.6686 4 437 21.2 392.04 21.32 13.3 140 0.54452 0 21.89 0 0.624 6.151 97.9 1.6687 4 437 21.2 396.9 18.46 17.8 143 3.32105 0 19.58 1 0.871 5.403 100 1.3216 5 403 14.7 396.9 26.82 13.4 144 4.0974 0 19.58 0 0.871 5.468 100 1.4118 5 403 14.7 396.9 26.42 15.6 147 2.15505 0 19.58 0 0.871 5.628 100 1.5166 5 403 14.7 169.27 16.65 15.6 149 2.33099 0 19.58 0 0.871 5.186 93.8 1.5296 5 403 14.7 356.99 28.32 17.8 150 2.73397 0 19.58 0 0.871 5.597 94.9 1.5257 5 403 14.7 351.85 21.45 15.4 151 1.6566 0 19.58 0 0.871 6.122 97.3 1.618 5 403 14.7 372.8 14.1 21.5 152 1.49632 0 19.58 0 0.871 5.404 100 1.5916 5 403 14.7 341.6 13.28 19.6 157 2.44668 0 19.58 0 0.871 5.272 94 1.7364 5 403 14.7 88.63 16.14 13.1 162 1.46336 0 19.58 0 0.605 7.489 90.8 1.9709 5 403 14.7 374.43 1.73 50 165 2.24236 0 19.58 0 0.605 5.854 91.8 2.422 5 403 14.7 395.11 11.64 22.7 168 1.80028 0 19.58 0 0.605 5.877 79.2 2.4259 5 403 14.7 227.61 12.14 23.8 169 2.3004 0 19.58 0 0.605 6.319 96.1 2.1 5 403 14.7 297.09 11.1 23.8 173 0.13914 0 4.05 0 0.51 5.572 88.5 2.5961 5 296 16.6 396.9 14.69 23.1 176 0.06664 0 4.05 0 0.51 6.546 33.1 3.1323 5 296 16.6 390.96 5.33 29.4 177 0.07022 0 4.05 0 0.51 6.02 47.2 3.5549 5 296 16.6 393.23 10.11 23.2 178 0.05425 0 4.05 0 0.51 6.315 73.4 3.3175 5 296 16.6 395.6 6.29 24.6 180 0.0578 0 2.46 0 0.488 6.98 58.4 2.829 3 193 17.8 396.9 5.04 37.2 182 0.06888 0 2.46 0 0.488 6.144 62.2 2.5979 3 193 17.8 396.9 9.45 36.2 183 0.09103 0 2.46 0 0.488 7.155 92.2 2.7006 3 193 17.8 394.12 4.82 37.9 185 0.08308 0 2.46 0 0.488 5.604 89.8 2.9879 3 193 17.8 391 13.98 26.4 186 0.06047 0 2.46 0 0.488 6.153 68.8 3.2797 3 193 17.8 387.11 13.15 29.6 188 0.07875 45 3.44 0 0.437 6.782 41.1 3.7886 5 398 15.2 393.87 6.68 32 189 0.12579 45 3.44 0 0.437 6.556 29.1 4.5667 5 398 15.2 382.84 4.56 29.8 192 0.06911 45 3.44 0 0.437 6.739 30.8 6.4798 5 398 15.2 389.71 4.69 30.5 193 0.08664 45 3.44 0 0.437 7.178 26.3 6.4798 5 398 15.2 390.49 2.87 36.4 197 0.04011 80 1.52 0 0.404 7.287 34.1 7.309 2 329 12.6 396.9 4.08 33.3 198 0.04666 80 1.52 0 0.404 7.107 36.6 7.309 2 329 12.6 354.31 8.61 30.3 199 0.03768 80 1.52 0 0.404 7.274 38.3 7.309 2 329 12.6 392.2 6.62 34.6 200 0.0315 95 1.47 0 0.403 6.975 15.3 7.6534 3 402 17 396.9 4.56 34.9 201 0.01778 95 1.47 0 0.403 7.135 13.9 7.6534 3 402 17 384.3 4.45 32.9 202 0.03445 82.5 2.03 0 0.415 6.162 38.4 6.27 2 348 14.7 393.77 7.43 24.1 203 0.02177 82.5 2.03 0 0.415 7.61 15.7 6.27 2 348 14.7 395.38 3.11 42.3 204 0.0351 95 2.68 0 0.4161 7.853 33.2 5.118 4 224 14.7 392.78 3.81 48.5 205 0.02009 95 2.68 0 0.4161 8.034 31.9 5.118 4 224 14.7 390.55 2.88 50 211 0.17446 0 10.59 1 0.489 5.96 92.1 3.8771 4 277 18.6 393.25 17.27 21.7 215 0.28955 0 10.59 0 0.489 5.412 9.8 3.5875 4 277 18.6 348.93 29.55 23.7 216 0.19802 0 10.59 0 0.489 6.182 42.4 3.9454 4 277 18.6 393.63 9.47 25 222 0.40771 0 6.2 1 0.507 6.164 91.3 3.048 8 307 17.4 395.24 21.46 21.7 223 0.62356 0 6.2 1 0.507 6.879 77.7 3.2721 8 307 17.4 390.39 9.93 27.5 224 0.6147 0 6.2 0 0.507 6.618 80.8 3.2721 8 307 17.4 396.9 7.6 30.1 227 0.38214 0 6.2 0 0.504 8.04 86.5 3.2157 8 307 17.4 387.38 3.13 37.6 228 0.41238 0 6.2 0 0.504 7.163 79.9 3.2157 8 307 17.4 372.08 6.36 31.6 230 0.44178 0 6.2 0 0.504 6.552 21.4 3.3751 8 307 17.4 380.34 3.76 31.5 233 0.57529 0 6.2 0 0.507 8.337 73.3 3.8384 8 307 17.4 385.91 2.47 41.7 234 0.33147 0 6.2 0 0.507 8.247 70.4 3.6519 8 307 17.4 378.95 3.95 48.3 235 0.44791 0 6.2 1 0.507 6.726 66.5 3.6519 8 307 17.4 360.2 8.05 29 237 0.52058 0 6.2 1 0.507 6.631 76.5 4.148 8 307 17.4 388.45 9.54 25.1 241 0.11329 30 4.93 0 0.428 6.897 54.3 6.3361 6 300 16.6 391.25 11.38 22 242 0.10612 30 4.93 0 0.428 6.095 65.1 6.3361 6 300 16.6 394.62 12.4 20.1 247 0.33983 22 5.86 0 0.431 6.108 34.9 8.0555 7 330 19.1 390.18 9.16 24.3 250 0.19073 22 5.86 0 0.431 6.718 17.5 7.8265 7 330 19.1 393.74 6.56 26.2 252 0.21409 22 5.86 0 0.431 6.438 8.9 7.3967 7 330 19.1 377.07 3.59 24.8 254 0.36894 22 5.86 0 0.431 8.259 8.4 8.9067 7 330 19.1 396.9 3.54 42.8 255 0.04819 80 3.64 0 0.392 6.108 32 9.2203 1 315 16.4 392.89 6.57 21.9 257 0.01538 90 3.75 0 0.394 7.454 34.2 6.3361 3 244 15.9 386.34 3.11 44 263 0.52014 20 3.97 0 0.647 8.398 91.5 2.2885 5 264 13 386.86 5.91 48.8 265 0.55007 20 3.97 0 0.647 7.206 91.6 1.9301 5 264 13 387.89 8.1 36.5 266 0.76162 20 3.97 0 0.647 5.56 62.8 1.9865 5 264 13 392.4 10.45 22.8 268 0.57834 20 3.97 0 0.575 8.297 67 2.4216 5 264 13 384.54 7.44 50 269 0.5405 20 3.97 0 0.575 7.47 52.6 2.872 5 264 13 390.3 3.16 43.5 271 0.29916 20 6.96 0 0.464 5.856 42.1 4.429 3 223 18.6 388.65 13 21.1 272 0.16211 20 6.96 0 0.464 6.24 16.3 4.429 3 223 18.6 396.9 6.59 25.2 274 0.22188 20 6.96 1 0.464 7.691 51.8 4.3665 3 223 18.6 390.77 6.58 35.2 275 0.05644 40 6.41 1 0.447 6.758 32.9 4.0776 4 254 17.6 396.9 3.53 32.4 278 0.06127 40 6.41 1 0.447 6.826 27.6 4.8628 4 254 17.6 393.45 4.16 33.1 281 0.03578 20 3.33 0 0.4429 7.82 64.5 4.6947 5 216 14.9 387.31 3.76 45.4 283 0.06129 20 3.33 1 0.4429 7.645 49.7 5.2119 5 216 14.9 377.07 3.01 46 284 0.01501 90 1.21 1 0.401 7.923 24.8 5.885 1 198 13.6 395.52 3.16 50 286 0.01096 55 2.25 0 0.389 6.453 31.9 7.3073 1 300 15.3 394.72 8.23 22 287 0.01965 80 1.76 0 0.385 6.23 31.5 9.0892 1 241 18.2 341.6 12.93 20.1 289 0.0459 52.5 5.32 0 0.405 6.315 45.6 7.3172 6 293 16.6 396.9 7.6 22.3 292 0.07886 80 4.95 0 0.411 7.148 27.7 5.1167 4 245 19.2 396.9 3.56 37.3 294 0.08265 0 13.92 0 0.437 6.127 18.4 5.5027 4 289 16 396.9 8.58 23.9 297 0.05372 0 13.92 0 0.437 6.549 51 5.9604 4 289 16 392.85 7.39 27.1 298 0.14103 0 13.92 0 0.437 5.79 58 6.32 4 289 16 396.9 15.84 20.3 300 0.05561 70 2.24 0 0.4 7.041 10 7.8278 5 358 14.8 371.58 4.74 29 302 0.03537 34 6.09 0 0.433 6.59 40.4 5.4917 7 329 16.1 395.75 9.5 22 303 0.09266 34 6.09 0 0.433 6.495 18.4 5.4917 7 329 16.1 383.61 8.67 26.4 306 0.05479 33 2.18 0 0.472 6.616 58.1 3.37 7 222 18.4 393.36 8.93 28.4 307 0.07503 33 2.18 0 0.472 7.42 71.9 3.0992 7 222 18.4 396.9 6.47 33.4 308 0.04932 33 2.18 0 0.472 6.849 70.3 3.1827 7 222 18.4 396.9 7.53 28.2 309 0.49298 0 9.9 0 0.544 6.635 82.5 3.3175 4 304 18.4 396.9 4.54 22.8 310 0.3494 0 9.9 0 0.544 5.972 76.7 3.1025 4 304 18.4 396.24 9.97 20.3 311 2.63548 0 9.9 0 0.544 4.973 37.8 2.5194 4 304 18.4 350.45 12.64 16.1 312 0.79041 0 9.9 0 0.544 6.122 52.8 2.6403 4 304 18.4 396.9 5.98 22.1 313 0.26169 0 9.9 0 0.544 6.023 90.4 2.834 4 304 18.4 396.3 11.72 19.4 316 0.25356 0 9.9 0 0.544 5.705 77.7 3.945 4 304 18.4 396.42 11.5 16.2 318 0.24522 0 9.9 0 0.544 5.782 71.7 4.0317 4 304 18.4 396.9 15.94 19.8 319 0.40202 0 9.9 0 0.544 6.382 67.2 3.5325 4 304 18.4 395.21 10.36 23.1 320 0.47547 0 9.9 0 0.544 6.113 58.8 4.0019 4 304 18.4 396.23 12.73 21 321 0.1676 0 7.38 0 0.493 6.426 52.3 4.5404 5 287 19.6 396.9 7.2 23.8 322 0.18159 0 7.38 0 0.493 6.376 54.3 4.5404 5 287 19.6 396.9 6.87 23.1 327 0.30347 0 7.38 0 0.493 6.312 28.9 5.4159 5 287 19.6 396.9 6.15 23 328 0.24103 0 7.38 0 0.493 6.083 43.7 5.4159 5 287 19.6 396.9 12.79 22.2 331 0.04544 0 3.24 0 0.46 6.144 32.2 5.8736 4 430 16.9 368.57 9.09 19.8 333 0.03466 35 6.06 0 0.4379 6.031 23.3 6.6407 1 304 16.9 362.25 7.83 19.4 334 0.05083 0 5.19 0 0.515 6.316 38.1 6.4584 5 224 20.2 389.71 5.68 22.2 337 0.03427 0 5.19 0 0.515 5.869 46.3 5.2311 5 224 20.2 396.9 9.8 19.5 339 0.03306 0 5.19 0 0.515 6.059 37.3 4.8122 5 224 20.2 396.14 8.51 20.6 341 0.06151 0 5.19 0 0.515 5.968 58.5 4.8122 5 224 20.2 396.9 9.29 18.7 343 0.02498 0 1.89 0 0.518 6.54 59.7 6.2669 1 422 15.9 389.96 8.65 16.5 344 0.02543 55 3.78 0 0.484 6.696 56.4 5.7321 5 370 17.6 396.9 7.18 23.9 348 0.0187 85 4.15 0 0.429 6.516 27.7 8.5353 4 351 17.9 392.43 6.36 23.1 350 0.02899 40 1.25 0 0.429 6.939 34.5 8.7921 1 335 19.7 389.85 5.89 26.6 353 0.07244 60 1.69 0 0.411 5.884 18.5 10.7103 4 411 18.3 392.33 7.79 18.6 355 0.04301 80 1.91 0 0.413 5.663 21.9 10.5857 4 334 22 382.8 8.05 18.2 356 0.10659 80 1.91 0 0.413 5.936 19.5 10.5857 4 334 22 376.04 5.57 20.6 357 8.98296 0 18.1 1 0.77 6.212 97.4 2.1222 24 666 20.2 377.73 17.6 17.8 358 3.8497 0 18.1 1 0.77 6.395 91 2.5052 24 666 20.2 391.34 13.27 21.7 362 3.83684 0 18.1 0 0.77 6.251 91.1 2.2955 24 666 20.2 350.65 14.19 19.9 364 4.22239 0 18.1 1 0.77 5.803 89 1.9047 24 666 20.2 353.04 14.64 16.8 365 3.47428 0 18.1 1 0.718 8.78 82.9 1.9047 24 666 20.2 354.55 5.29 21.9 367 3.69695 0 18.1 0 0.718 4.963 91.4 1.7523 24 666 20.2 316.03 14 21.9 368 13.5222 0 18.1 0 0.631 3.863 100 1.5106 24 666 20.2 131.42 13.33 23.1 369 4.89822 0 18.1 0 0.631 4.97 100 1.3325 24 666 20.2 375.52 3.26 50 372 9.2323 0 18.1 0 0.631 6.216 100 1.1691 24 666 20.2 366.15 9.53 50 373 8.26725 0 18.1 1 0.668 5.875 89.6 1.1296 24 666 20.2 347.88 8.88 50 374 11.1081 0 18.1 0 0.668 4.906 100 1.1742 24 666 20.2 396.9 34.77 13.8 376 19.6091 0 18.1 0 0.671 7.313 97.9 1.3163 24 666 20.2 396.9 13.44 15 378 9.82349 0 18.1 0 0.671 6.794 98.8 1.358 24 666 20.2 396.9 21.24 13.3 379 23.6482 0 18.1 0 0.671 6.38 96.2 1.3861 24 666 20.2 396.9 23.69 13.1 380 17.8667 0 18.1 0 0.671 6.223 100 1.3861 24 666 20.2 393.74 21.78 10.2 381 88.9762 0 18.1 0 0.671 6.968 91.9 1.4165 24 666 20.2 396.9 17.21 10.4 382 15.8744 0 18.1 0 0.671 6.545 99.1 1.5192 24 666 20.2 396.9 21.08 10.9 387 24.3938 0 18.1 0 0.7 4.652 100 1.4672 24 666 20.2 396.9 28.28 10.5 388 22.5971 0 18.1 0 0.7 5 89.5 1.5184 24 666 20.2 396.9 31.99 7.4 390 8.15174 0 18.1 0 0.7 5.39 98.9 1.7281 24 666 20.2 396.9 20.85 11.5 391 6.96215 0 18.1 0 0.7 5.713 97 1.9265 24 666 20.2 394.43 17.11 15.1 392 5.29305 0 18.1 0 0.7 6.051 82.5 2.1678 24 666 20.2 378.38 18.76 23.2 393 11.5779 0 18.1 0 0.7 5.036 97 1.77 24 666 20.2 396.9 25.68 9.7 394 8.64476 0 18.1 0 0.693 6.193 92.6 1.7912 24 666 20.2 396.9 15.17 13.8 399 38.3518 0 18.1 0 0.693 5.453 100 1.4896 24 666 20.2 396.9 30.59 5 400 9.91655 0 18.1 0 0.693 5.852 77.8 1.5004 24 666 20.2 338.16 29.97 6.3 404 24.8017 0 18.1 0 0.693 5.349 96 1.7028 24 666 20.2 396.9 19.77 8.3 406 67.9208 0 18.1 0 0.693 5.683 100 1.4254 24 666 20.2 384.97 22.98 5 407 20.7162 0 18.1 0 0.659 4.138 100 1.1781 24 666 20.2 370.22 23.34 11.9 408 11.9511 0 18.1 0 0.659 5.608 100 1.2852 24 666 20.2 332.09 12.13 27.9 409 7.40389 0 18.1 0 0.597 5.617 97.9 1.4547 24 666 20.2 314.64 26.4 17.2 410 14.4383 0 18.1 0 0.597 6.852 100 1.4655 24 666 20.2 179.36 19.78 27.5 412 14.0507 0 18.1 0 0.597 6.657 100 1.5275 24 666 20.2 35.05 21.22 17.2 413 18.811 0 18.1 0 0.597 4.628 100 1.5539 24 666 20.2 28.79 34.37 17.9 414 28.6558 0 18.1 0 0.597 5.155 100 1.5894 24 666 20.2 210.97 20.08 16.3 417 10.8342 0 18.1 0 0.679 6.782 90.8 1.8195 24 666 20.2 21.57 25.79 7.5 419 73.5341 0 18.1 0 0.679 5.957 100 1.8026 24 666 20.2 16.45 20.62 8.8 423 12.0482 0 18.1 0 0.614 5.648 87.6 1.9512 24 666 20.2 291.55 14.1 20.8 424 7.05042 0 18.1 0 0.614 6.103 85.1 2.0218 24 666 20.2 2.52 23.29 13.4 425 8.79212 0 18.1 0 0.584 5.565 70.6 2.0635 24 666 20.2 3.65 17.16 11.7 426 15.8603 0 18.1 0 0.679 5.896 95.4 1.9096 24 666 20.2 7.68 24.39 8.3 427 12.2472 0 18.1 0 0.584 5.837 59.7 1.9976 24 666 20.2 24.65 15.69 10.2 430 9.33889 0 18.1 0 0.679 6.38 95.6 1.9682 24 666 20.2 60.72 24.08 9.5 431 8.49213 0 18.1 0 0.584 6.348 86.1 2.0527 24 666 20.2 83.45 17.64 14.5 432 10.0623 0 18.1 0 0.584 6.833 94.3 2.0882 24 666 20.2 81.33 19.69 14.1 433 6.44405 0 18.1 0 0.584 6.425 74.8 2.2004 24 666 20.2 97.95 12.03 16.1 434 5.58107 0 18.1 0 0.713 6.436 87.9 2.3158 24 666 20.2 100.19 16.22 14.3 435 13.9134 0 18.1 0 0.713 6.208 95 2.2222 24 666 20.2 100.63 15.17 11.7 436 11.1604 0 18.1 0 0.74 6.629 94.6 2.1247 24 666 20.2 109.85 23.27 13.4 442 9.72418 0 18.1 0 0.74 6.406 97.2 2.0651 24 666 20.2 385.96 19.52 17.1 446 10.6718 0 18.1 0 0.74 6.459 94.8 1.9879 24 666 20.2 43.06 23.98 11.8 447 6.28807 0 18.1 0 0.74 6.341 96.4 2.072 24 666 20.2 318.01 17.79 14.9 449 9.32909 0 18.1 0 0.713 6.185 98.7 2.2616 24 666 20.2 396.9 18.13 14.1 454 8.24809 0 18.1 0 0.713 7.393 99.3 2.4527 24 666 20.2 375.87 16.74 17.8 458 8.20058 0 18.1 0 0.713 5.936 80.3 2.7792 24 666 20.2 3.5 16.94 13.5 459 7.75223 0 18.1 0 0.713 6.301 83.7 2.7831 24 666 20.2 272.21 16.23 14.9 461 4.81213 0 18.1 0 0.713 6.701 90 2.5975 24 666 20.2 255.23 16.42 16.4 462 3.69311 0 18.1 0 0.713 6.376 88.4 2.5671 24 666 20.2 391.43 14.65 17.7 464 5.82115 0 18.1 0 0.713 6.513 89.9 2.8016 24 666 20.2 393.82 10.29 20.2 465 7.83932 0 18.1 0 0.655 6.209 65.4 2.9634 24 666 20.2 396.9 13.22 21.4 470 13.0751 0 18.1 0 0.58 5.713 56.7 2.8237 24 666 20.2 396.9 14.76 20.1 473 3.56868 0 18.1 0 0.58 6.437 75 2.8965 24 666 20.2 393.37 14.36 23.2 474 4.64689 0 18.1 0 0.614 6.98 67.6 2.5329 24 666 20.2 374.68 11.66 29.8 475 8.05579 0 18.1 0 0.584 5.427 95.4 2.4298 24 666 20.2 352.58 18.14 13.8 477 4.87141 0 18.1 0 0.614 6.484 93.6 2.3053 24 666 20.2 396.21 18.68 16.7 483 5.73116 0 18.1 0 0.532 7.061 77 3.4106 24 666 20.2 395.28 7.01 25 484 2.81838 0 18.1 0 0.532 5.762 40.3 4.0983 24 666 20.2 392.92 10.42 21.8 485 2.37857 0 18.1 0 0.583 5.871 41.9 3.724 24 666 20.2 370.73 13.34 20.6 486 3.67367 0 18.1 0 0.583 6.312 51.9 3.9917 24 666 20.2 388.62 10.58 21.2 488 4.83567 0 18.1 0 0.583 5.905 53.2 3.1523 24 666 20.2 388.22 11.45 20.6 494 0.17331 0 9.69 0 0.585 5.707 54 2.3817 6 391 19.2 396.9 12.01 21.8 497 0.2896 0 9.69 0 0.585 5.39 72.9 2.7986 6 391 19.2 396.9 21.14 19.7 499 0.23912 0 9.69 0 0.585 6.019 65.3 2.4091 6 391 19.2 396.9 12.92 21.2 502 0.06263 0 11.93 0 0.573 6.593 69.1 2.4786 1 273 21 391.99 9.67 22.4 503 0.04527 0 11.93 0 0.573 6.12 76.7 2.2875 1 273 21 396.9 9.08 20.6 3 0.02729 0 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 392.83 4.03 34.7 11 0.22489 12.5 7.87 0 0.524 6.377 94.3 6.3467 5 311 15.2 392.52 20.45 15 14 0.62976 0 8.14 0 0.538 5.949 61.8 4.7075 4 307 21 396.9 8.26 20.4 15 0.63796 0 8.14 0 0.538 6.096 84.5 4.4619 4 307 21 380.02 10.26 18.2 16 0.62739 0 8.14 0 0.538 5.834 56.5 4.4986 4 307 21 395.62 8.47 19.9 19 0.80271 0 8.14 0 0.538 5.456 36.6 3.7965 4 307 21 288.99 11.69 20.2 20 0.7258 0 8.14 0 0.538 5.727 69.5 3.7965 4 307 21 390.95 11.28 18.2 23 1.23247 0 8.14 0 0.538 6.142 91.7 3.9769 4 307 21 396.9 18.72 15.2 27 0.67191 0 8.14 0 0.538 5.813 90.3 4.682 4 307 21 376.88 14.81 16.6 31 1.13081 0 8.14 0 0.538 5.713 94.1 4.233 4 307 21 360.17 22.6 12.7 34 1.15172 0 8.14 0 0.538 5.701 95 3.7872 4 307 21 358.77 18.35 13.1 42 0.12744 0 6.91 0 0.448 6.77 2.9 5.7209 3 233 17.9 385.41 4.84 26.6 47 0.18836 0 6.91 0 0.448 5.786 33.3 5.1004 3 233 17.9 396.9 14.15 20 50 0.21977 0 6.91 0 0.448 5.602 62 6.0877 3 233 17.9 396.9 16.2 19.4 53 0.0536 21 5.64 0 0.439 6.511 21.1 6.8147 4 243 16.8 396.9 5.28 25 57 0.02055 85 0.74 0 0.41 6.383 35.7 9.1876 2 313 17.3 396.9 5.77 24.7 60 0.10328 25 5.13 0 0.453 5.927 47.2 6.932 8 284 19.7 396.9 9.22 19.6 63 0.11027 25 5.13 0 0.453 6.456 67.8 7.2255 8 284 19.7 396.9 6.73 22.2 72 0.15876 0 10.81 0 0.413 5.961 17.5 5.2873 4 305 19.2 376.94 9.88 21.7 74 0.19539 0 10.81 0 0.413 6.245 6.2 5.2873 4 305 19.2 377.17 7.54 23.4 78 0.08707 0 12.83 0 0.437 6.14 45.8 4.0905 5 398 18.7 386.96 10.27 20.8 84 0.03551 25 4.86 0 0.426 6.167 46.7 5.4007 4 281 19 390.64 7.51 22.9 85 0.05059 0 4.49 0 0.449 6.389 48 4.7794 3 247 18.5 396.9 9.62 23.9 88 0.07151 0 4.49 0 0.449 6.121 56.8 3.7476 3 247 18.5 395.15 8.44 22.2 91 0.04684 0 3.41 0 0.489 6.417 66.1 3.0923 2 270 17.8 392.18 8.81 22.6 98 0.12083 0 2.89 0 0.445 8.069 76 3.4952 2 276 18 396.9 4.21 38.7 99 0.08187 0 2.89 0 0.445 7.82 36.9 3.4952 2 276 18 393.53 3.57 43.8 100 0.0686 0 2.89 0 0.445 7.416 62.5 3.4952 2 276 18 396.9 6.19 33.2 106 0.13262 0 8.56 0 0.52 5.851 96.7 2.1069 5 384 20.9 394.05 16.47 19.5 107 0.1712 0 8.56 0 0.52 5.836 91.9 2.211 5 384 20.9 395.67 18.66 19.5 108 0.13117 0 8.56 0 0.52 6.127 85.2 2.1224 5 384 20.9 387.69 14.09 20.4 112 0.10084 0 10.01 0 0.547 6.715 81.6 2.6775 6 432 17.8 395.59 10.16 22.8 113 0.12329 0 10.01 0 0.547 5.913 92.9 2.3534 6 432 17.8 394.95 16.21 18.8 114 0.22212 0 10.01 0 0.547 6.092 95.4 2.548 6 432 17.8 396.9 17.09 18.7 115 0.14231 0 10.01 0 0.547 6.254 84.2 2.2565 6 432 17.8 388.74 10.45 18.5 116 0.17134 0 10.01 0 0.547 5.928 88.2 2.4631 6 432 17.8 344.91 15.76 18.3 129 0.32543 0 21.89 0 0.624 6.431 98.8 1.8125 4 437 21.2 396.9 15.39 18 130 0.88125 0 21.89 0 0.624 5.637 94.7 1.9799 4 437 21.2 396.9 18.34 14.3 132 1.19294 0 21.89 0 0.624 6.326 97.7 2.271 4 437 21.2 396.9 12.26 19.6 134 0.32982 0 21.89 0 0.624 5.822 95.4 2.4699 4 437 21.2 388.69 15.03 18.4 137 0.32264 0 21.89 0 0.624 5.942 93.5 1.9669 4 437 21.2 378.25 16.9 17.4 138 0.35233 0 21.89 0 0.624 6.454 98.4 1.8498 4 437 21.2 394.08 14.59 17.1 141 0.2909 0 21.89 0 0.624 6.174 93.6 1.6119 4 437 21.2 388.08 24.16 14 142 1.62864 0 21.89 0 0.624 5.019 100 1.4394 4 437 21.2 396.9 34.41 14.4 145 2.77974 0 19.58 0 0.871 4.903 97.8 1.3459 5 403 14.7 396.9 29.29 11.8 148 2.36862 0 19.58 0 0.871 4.926 95.7 1.4608 5 403 14.7 391.71 29.53 14.6 154 2.14918 0 19.58 0 0.871 5.709 98.5 1.6232 5 403 14.7 261.95 15.79 19.4 155 1.41385 0 19.58 1 0.871 6.129 96 1.7494 5 403 14.7 321.02 15.12 17 156 3.53501 0 19.58 1 0.871 6.152 82.6 1.7455 5 403 14.7 88.01 15.02 15.6 158 1.22358 0 19.58 0 0.605 6.943 97.4 1.8773 5 403 14.7 363.43 4.59 41.3 160 1.42502 0 19.58 0 0.871 6.51 100 1.7659 5 403 14.7 364.31 7.39 23.3 161 1.27346 0 19.58 1 0.605 6.25 92.6 1.7984 5 403 14.7 338.92 5.5 27 164 1.51902 0 19.58 1 0.605 8.375 93.9 2.162 5 403 14.7 388.45 3.32 50 167 2.01019 0 19.58 0 0.605 7.929 96.2 2.0459 5 403 14.7 369.3 3.7 50 170 2.44953 0 19.58 0 0.605 6.402 95.2 2.2625 5 403 14.7 330.04 11.32 22.3 172 2.3139 0 19.58 0 0.605 5.88 97.3 2.3887 5 403 14.7 348.13 12.03 19.1 184 0.10008 0 2.46 0 0.488 6.563 95.6 2.847 3 193 17.8 396.9 5.68 32.5 187 0.05602 0 2.46 0 0.488 7.831 53.6 3.1992 3 193 17.8 392.63 4.45 50 191 0.09068 45 3.44 0 0.437 6.951 21.5 6.4798 5 398 15.2 377.68 5.1 37 194 0.02187 60 2.93 0 0.401 6.8 9.9 6.2196 1 265 15.6 393.37 5.03 31.1 195 0.01439 60 2.93 0 0.401 6.604 18.8 6.2196 1 265 15.6 376.7 4.38 29.1 207 0.22969 0 10.59 0 0.489 6.326 52.5 4.3549 4 277 18.6 394.87 10.97 24.4 209 0.13587 0 10.59 1 0.489 6.064 59.1 4.2392 4 277 18.6 381.32 14.66 24.4 210 0.43571 0 10.59 1 0.489 5.344 100 3.875 4 277 18.6 396.9 23.09 20 214 0.14052 0 10.59 0 0.489 6.375 32.3 3.9454 4 277 18.6 385.81 9.38 28.1 220 0.11425 0 13.89 1 0.55 6.373 92.4 3.3633 5 276 16.4 393.74 10.5 23 221 0.35809 0 6.2 1 0.507 6.951 88.5 2.8617 8 307 17.4 391.7 9.71 26.7 225 0.31533 0 6.2 0 0.504 8.266 78.3 2.8944 8 307 17.4 385.05 4.14 44.8 236 0.33045 0 6.2 0 0.507 6.086 61.5 3.6519 8 307 17.4 376.75 10.88 24 238 0.51183 0 6.2 0 0.507 7.358 71.6 4.148 8 307 17.4 390.07 4.73 31.5 239 0.08244 30 4.93 0 0.428 6.481 18.5 6.1899 6 300 16.6 379.41 6.36 23.7 240 0.09252 30 4.93 0 0.428 6.606 42.2 6.1899 6 300 16.6 383.78 7.37 23.3 244 0.12757 30 4.93 0 0.428 6.393 7.8 7.0355 6 300 16.6 374.71 5.19 23.7 246 0.19133 22 5.86 0 0.431 5.605 70.2 7.9549 7 330 19.1 389.13 18.46 18.5 248 0.19657 22 5.86 0 0.431 6.226 79.2 8.0555 7 330 19.1 376.14 10.15 20.5 249 0.16439 22 5.86 0 0.431 6.433 49.1 7.8265 7 330 19.1 374.71 9.52 24.5 251 0.1403 22 5.86 0 0.431 6.487 13 7.3967 7 330 19.1 396.28 5.9 24.4 256 0.03548 80 3.64 0 0.392 5.876 19.1 9.2203 1 315 16.4 395.18 9.25 20.9 270 0.09065 20 6.96 1 0.464 5.92 61.5 3.9175 3 223 18.6 391.34 13.65 20.7 276 0.09604 40 6.41 0 0.447 6.854 42.8 4.2673 4 254 17.6 396.9 2.98 32 277 0.10469 40 6.41 1 0.447 7.267 49 4.7872 4 254 17.6 389.25 6.05 33.2 279 0.07978 40 6.41 0 0.447 6.482 32.1 4.1403 4 254 17.6 396.9 7.19 29.1 282 0.03705 20 3.33 0 0.4429 6.968 37.2 5.2447 5 216 14.9 392.23 4.59 35.4 285 0.00906 90 2.97 0 0.4 7.088 20.8 7.3073 1 285 15.3 394.72 7.85 32.2 288 0.03871 52.5 5.32 0 0.405 6.209 31.3 7.3172 6 293 16.6 396.9 7.14 23.2 290 0.04297 52.5 5.32 0 0.405 6.565 22.9 7.3172 6 293 16.6 371.72 9.51 24.8 293 0.03615 80 4.95 0 0.411 6.63 23.4 5.1167 4 245 19.2 396.9 4.7 27.9 296 0.12932 0 13.92 0 0.437 6.678 31.1 5.9604 4 289 16 396.9 6.27 28.6 299 0.06466 70 2.24 0 0.4 6.345 20.1 7.8278 5 358 14.8 368.24 4.97 22.5 301 0.04417 70 2.24 0 0.4 6.871 47.4 7.8278 5 358 14.8 390.86 6.07 24.8 305 0.05515 33 2.18 0 0.472 7.236 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402 14.2362 0 18.1 0 0.693 6.343 100 1.5741 24 666 20.2 396.9 20.32 7.2 403 9.59571 0 18.1 0 0.693 6.404 100 1.639 24 666 20.2 376.11 20.31 12.1 405 41.5292 0 18.1 0 0.693 5.531 85.4 1.6074 24 666 20.2 329.46 27.38 8.5 415 45.7461 0 18.1 0 0.693 4.519 100 1.6582 24 666 20.2 88.27 36.98 7 420 11.8123 0 18.1 0 0.718 6.824 76.5 1.794 24 666 20.2 48.45 22.74 8.4 421 11.0874 0 18.1 0 0.718 6.411 100 1.8589 24 666 20.2 318.75 15.02 16.7 422 7.02259 0 18.1 0 0.718 6.006 95.3 1.8746 24 666 20.2 319.98 15.7 14.2 429 7.36711 0 18.1 0 0.679 6.193 78.1 1.9356 24 666 20.2 96.73 21.52 11 438 15.1772 0 18.1 0 0.74 6.152 100 1.9142 24 666 20.2 9.32 26.45 8.7 441 22.0511 0 18.1 0 0.74 5.818 92.4 1.8662 24 666 20.2 391.45 22.11 10.5 450 7.52601 0 18.1 0 0.713 6.417 98.3 2.185 24 666 20.2 304.21 19.31 13 451 6.71772 0 18.1 0 0.713 6.749 92.6 2.3236 24 666 20.2 0.32 17.44 13.4 452 5.44114 0 18.1 0 0.713 6.655 98.2 2.3552 24 666 20.2 355.29 17.73 15.2 453 5.09017 0 18.1 0 0.713 6.297 91.8 2.3682 24 666 20.2 385.09 17.27 16.1 455 9.51363 0 18.1 0 0.713 6.728 94.1 2.4961 24 666 20.2 6.68 18.71 14.9 456 4.75237 0 18.1 0 0.713 6.525 86.5 2.4358 24 666 20.2 50.92 18.13 14.1 457 4.66883 0 18.1 0 0.713 5.976 87.9 2.5806 24 666 20.2 10.48 19.01 12.7 460 6.80117 0 18.1 0 0.713 6.081 84.4 2.7175 24 666 20.2 396.9 14.7 20 466 3.1636 0 18.1 0 0.655 5.759 48.2 3.0665 24 666 20.2 334.4 14.13 19.9 469 15.5757 0 18.1 0 0.58 5.926 71 2.9084 24 666 20.2 368.74 18.13 19.1 471 4.34879 0 18.1 0 0.58 6.167 84 3.0334 24 666 20.2 396.9 16.29 19.9 472 4.03841 0 18.1 0 0.532 6.229 90.7 3.0993 24 666 20.2 395.33 12.87 19.6 476 6.39312 0 18.1 0 0.584 6.162 97.4 2.206 24 666 20.2 302.76 24.1 13.3 479 10.233 0 18.1 0 0.614 6.185 96.7 2.1705 24 666 20.2 379.7 18.03 14.6 489 0.15086 0 27.74 0 0.609 5.454 92.7 1.8209 4 711 20.1 395.09 18.06 15.2 490 0.18337 0 27.74 0 0.609 5.414 98.3 1.7554 4 711 20.1 344.05 23.97 7 492 0.10574 0 27.74 0 0.609 5.983 98.8 1.8681 4 711 20.1 390.11 18.07 13.6 493 0.11132 0 27.74 0 0.609 5.983 83.5 2.1099 4 711 20.1 396.9 13.35 20.1 495 0.27957 0 9.69 0 0.585 5.926 42.6 2.3817 6 391 19.2 396.9 13.59 24.5 496 0.17899 0 9.69 0 0.585 5.67 28.8 2.7986 6 391 19.2 393.29 17.6 23.1 498 0.26838 0 9.69 0 0.585 5.794 70.6 2.8927 6 391 19.2 396.9 14.1 18.3 500 0.17783 0 9.69 0 0.585 5.569 73.5 2.3999 6 391 19.2 395.77 15.1 17.5 501 0.22438 0 9.69 0 0.585 6.027 79.7 2.4982 6 391 19.2 396.9 14.33 16.8 505 0.10959 0 11.93 0 0.573 6.794 89.3 2.3889 1 273 21 393.45 6.48 22 2 0.02731 0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 396.9 9.14 21.6 7 0.08829 12.5 7.87 0 0.524 6.012 66.6 5.5605 5 311 15.2 395.6 12.43 22.9 8 0.14455 12.5 7.87 0 0.524 6.172 96.1 5.9505 5 311 15.2 396.9 19.15 27.1 13 0.09378 12.5 7.87 0 0.524 5.889 39 5.4509 5 311 15.2 390.5 15.71 21.7 22 0.85204 0 8.14 0 0.538 5.965 89.2 4.0123 4 307 21 392.53 13.83 19.6 24 0.98843 0 8.14 0 0.538 5.813 100 4.0952 4 307 21 394.54 19.88 14.5 25 0.75026 0 8.14 0 0.538 5.924 94.1 4.3996 4 307 21 394.33 16.3 15.6 28 0.95577 0 8.14 0 0.538 6.047 88.8 4.4534 4 307 21 306.38 17.28 14.8 33 1.38799 0 8.14 0 0.538 5.95 82 3.99 4 307 21 232.6 27.71 13.2 40 0.02763 75 2.95 0 0.428 6.595 21.8 5.4011 3 252 18.3 395.63 4.32 30.8 46 0.17142 0 6.91 0 0.448 5.682 33.8 5.1004 3 233 17.9 396.9 10.21 19.3 59 0.15445 25 5.13 0 0.453 6.145 29.2 7.8148 8 284 19.7 390.68 6.86 23.3 61 0.14932 25 5.13 0 0.453 5.741 66.2 7.2254 8 284 19.7 395.11 13.15 18.7 70 0.12816 12.5 6.07 0 0.409 5.885 33 6.498 4 345 18.9 396.9 8.79 20.9 79 0.05646 0 12.83 0 0.437 6.232 53.7 5.0141 5 398 18.7 386.4 12.34 21.2 80 0.08387 0 12.83 0 0.437 5.874 36.6 4.5026 5 398 18.7 396.06 9.1 20.3 83 0.03659 25 4.86 0 0.426 6.302 32.2 5.4007 4 281 19 396.9 6.72 24.8 86 0.05735 0 4.49 0 0.449 6.63 56.1 4.4377 3 247 18.5 392.3 6.53 26.6 93 0.04203 28 15.04 0 0.464 6.442 53.6 3.6659 4 270 18.2 395.01 8.16 22.9 103 0.22876 0 8.56 0 0.52 6.405 85.4 2.7147 5 384 20.9 70.8 10.63 18.6 109 0.12802 0 8.56 0 0.52 6.474 97.1 2.4329 5 384 20.9 395.24 12.27 19.8 117 0.13158 0 10.01 0 0.547 6.176 72.5 2.7301 6 432 17.8 393.3 12.04 21.2 118 0.15098 0 10.01 0 0.547 6.021 82.6 2.7474 6 432 17.8 394.51 10.3 19.2 120 0.14476 0 10.01 0 0.547 5.731 65.2 2.7592 6 432 17.8 391.5 13.61 19.3 124 0.15038 0 25.65 0 0.581 5.856 97 1.9444 2 188 19.1 370.31 25.41 17.3 126 0.16902 0 25.65 0 0.581 5.986 88.4 1.9929 2 188 19.1 385.02 14.81 21.4 135 0.97617 0 21.89 0 0.624 5.757 98.4 2.346 4 437 21.2 262.76 17.31 15.6 146 2.37934 0 19.58 0 0.871 6.13 100 1.4191 5 403 14.7 172.91 27.8 13.8 153 1.12658 0 19.58 1 0.871 5.012 88 1.6102 5 403 14.7 343.28 12.12 15.3 159 1.34284 0 19.58 0 0.605 6.066 100 1.7573 5 403 14.7 353.89 6.43 24.3 163 1.83377 0 19.58 1 0.605 7.802 98.2 2.0407 5 403 14.7 389.61 1.92 50 166 2.924 0 19.58 0 0.605 6.101 93 2.2834 5 403 14.7 240.16 9.81 25 171 1.20742 0 19.58 0 0.605 5.875 94.6 2.4259 5 403 14.7 292.29 14.43 17.4 174 0.09178 0 4.05 0 0.51 6.416 84.1 2.6463 5 296 16.6 395.5 9.04 23.6 175 0.08447 0 4.05 0 0.51 5.859 68.7 2.7019 5 296 16.6 393.23 9.64 22.6 179 0.06642 0 4.05 0 0.51 6.86 74.4 2.9153 5 296 16.6 391.27 6.92 29.9 181 0.06588 0 2.46 0 0.488 7.765 83.3 2.741 3 193 17.8 395.56 7.56 39.8 190 0.0837 45 3.44 0 0.437 7.185 38.9 4.5667 5 398 15.2 396.9 5.39 34.9 196 0.01381 80 0.46 0 0.422 7.875 32 5.6484 4 255 14.4 394.23 2.97 50 206 0.13642 0 10.59 0 0.489 5.891 22.3 3.9454 4 277 18.6 396.9 10.87 22.6 208 0.25199 0 10.59 0 0.489 5.783 72.7 4.3549 4 277 18.6 389.43 18.06 22.5 212 0.37578 0 10.59 1 0.489 5.404 88.6 3.665 4 277 18.6 395.24 23.98 19.3 213 0.21719 0 10.59 1 0.489 5.807 53.8 3.6526 4 277 18.6 390.94 16.03 22.4 217 0.0456 0 13.89 1 0.55 5.888 56 3.1121 5 276 16.4 392.8 13.51 23.3 218 0.07013 0 13.89 0 0.55 6.642 85.1 3.4211 5 276 16.4 392.78 9.69 28.7 219 0.11069 0 13.89 1 0.55 5.951 93.8 2.8893 5 276 16.4 396.9 17.92 21.5 226 0.52693 0 6.2 0 0.504 8.725 83 2.8944 8 307 17.4 382 4.63 50 229 0.29819 0 6.2 0 0.504 7.686 17 3.3751 8 307 17.4 377.51 3.92 46.7 231 0.537 0 6.2 0 0.504 5.981 68.1 3.6715 8 307 17.4 378.35 11.65 24.3 232 0.46296 0 6.2 0 0.504 7.412 76.9 3.6715 8 307 17.4 376.14 5.25 31.7 243 0.1029 30 4.93 0 0.428 6.358 52.9 7.0355 6 300 16.6 372.75 11.22 22.2 245 0.20608 22 5.86 0 0.431 5.593 76.5 7.9549 7 330 19.1 372.49 12.5 17.6 253 0.08221 22 5.86 0 0.431 6.957 6.8 8.9067 7 330 19.1 386.09 3.53 29.6 258 0.61154 20 3.97 0 0.647 8.704 86.9 1.801 5 264 13 389.7 5.12 50 259 0.66351 20 3.97 0 0.647 7.333 100 1.8946 5 264 13 383.29 7.79 36 260 0.65665 20 3.97 0 0.647 6.842 100 2.0107 5 264 13 391.93 6.9 30.1 261 0.54011 20 3.97 0 0.647 7.203 81.8 2.1121 5 264 13 392.8 9.59 33.8 262 0.53412 20 3.97 0 0.647 7.52 89.4 2.1398 5 264 13 388.37 7.26 43.1 264 0.82526 20 3.97 0 0.647 7.327 94.5 2.0788 5 264 13 393.42 11.25 31 267 0.7857 20 3.97 0 0.647 7.014 84.6 2.1329 5 264 13 384.07 14.79 30.7 273 0.1146 20 6.96 0 0.464 6.538 58.7 3.9175 3 223 18.6 394.96 7.73 24.4 280 0.21038 20 3.33 0 0.4429 6.812 32.2 4.1007 5 216 14.9 396.9 4.85 35.1 291 0.03502 80 4.95 0 0.411 6.861 27.9 5.1167 4 245 19.2 396.9 3.33 28.5 295 0.08199 0 13.92 0 0.437 6.009 42.3 5.5027 4 289 16 396.9 10.4 21.7 304 0.1 34 6.09 0 0.433 6.982 17.7 5.4917 7 329 16.1 390.43 4.86 33.1 317 0.31827 0 9.9 0 0.544 5.914 83.2 3.9986 4 304 18.4 390.7 18.33 17.8 323 0.35114 0 7.38 0 0.493 6.041 49.9 4.7211 5 287 19.6 396.9 7.7 20.4 324 0.28392 0 7.38 0 0.493 5.708 74.3 4.7211 5 287 19.6 391.13 11.74 18.5 325 0.34109 0 7.38 0 0.493 6.415 40.1 4.7211 5 287 19.6 396.9 6.12 25 329 0.06617 0 3.24 0 0.46 5.868 25.8 5.2146 4 430 16.9 382.44 9.97 19.3 335 0.03738 0 5.19 0 0.515 6.31 38.5 6.4584 5 224 20.2 389.4 6.75 20.7 340 0.05497 0 5.19 0 0.515 5.985 45.4 4.8122 5 224 20.2 396.9 9.74 19 349 0.01501 80 2.01 0 0.435 6.635 29.7 8.344 4 280 17 390.94 5.99 24.5 352 0.0795 60 1.69 0 0.411 6.579 35.9 10.7103 4 411 18.3 370.78 5.49 24.1 354 0.01709 90 2.02 0 0.41 6.728 36.1 12.1265 5 187 17 384.46 4.5 30.1 366 4.55587 0 18.1 0 0.718 3.561 87.9 1.6132 24 666 20.2 354.7 7.12 27.5 371 6.53876 0 18.1 1 0.631 7.016 97.5 1.2024 24 666 20.2 392.05 2.96 50 383 9.18702 0 18.1 0 0.7 5.536 100 1.5804 24 666 20.2 396.9 23.6 11.3 397 5.87205 0 18.1 0 0.693 6.405 96 1.6768 24 666 20.2 396.9 19.37 12.5 411 51.1358 0 18.1 0 0.597 5.757 100 1.413 24 666 20.2 2.6 10.11 15 416 18.0846 0 18.1 0 0.679 6.434 100 1.8347 24 666 20.2 27.25 29.05 7.2 418 25.9406 0 18.1 0 0.679 5.304 89.1 1.6475 24 666 20.2 127.36 26.64 10.4 428 37.6619 0 18.1 0 0.679 6.202 78.7 1.8629 24 666 20.2 18.82 14.52 10.9 437 14.4208 0 18.1 0 0.74 6.461 93.3 2.0026 24 666 20.2 27.49 18.05 9.6 439 13.6781 0 18.1 0 0.74 5.935 87.9 1.8206 24 666 20.2 68.95 34.02 8.4 440 9.39063 0 18.1 0 0.74 5.627 93.9 1.8172 24 666 20.2 396.9 22.88 12.8 443 5.66637 0 18.1 0 0.74 6.219 100 2.0048 24 666 20.2 395.69 16.59 18.4 444 9.96654 0 18.1 0 0.74 6.485 100 1.9784 24 666 20.2 386.73 18.85 15.4 445 12.8023 0 18.1 0 0.74 5.854 96.6 1.8956 24 666 20.2 240.52 23.79 10.8 448 9.92485 0 18.1 0 0.74 6.251 96.6 2.198 24 666 20.2 388.52 16.44 12.6 463 6.65492 0 18.1 0 0.713 6.317 83 2.7344 24 666 20.2 396.9 13.99 19.5 467 3.77498 0 18.1 0 0.655 5.952 84.7 2.8715 24 666 20.2 22.01 17.15 19 468 4.42228 0 18.1 0 0.584 6.003 94.5 2.5403 24 666 20.2 331.29 21.32 19.1 478 15.0234 0 18.1 0 0.614 5.304 97.3 2.1007 24 666 20.2 349.48 24.91 12 480 14.3337 0 18.1 0 0.614 6.229 88 1.9512 24 666 20.2 383.32 13.11 21.4 481 5.82401 0 18.1 0 0.532 6.242 64.7 3.4242 24 666 20.2 396.9 10.74 23 482 5.70818 0 18.1 0 0.532 6.75 74.9 3.3317 24 666 20.2 393.07 7.74 23.7 487 5.69175 0 18.1 0 0.583 6.114 79.8 3.5459 24 666 20.2 392.68 14.98 19.1 491 0.20746 0 27.74 0 0.609 5.093 98 1.8226 4 711 20.1 318.43 29.68 8.1 504 0.06076 0 11.93 0 0.573 6.976 91 2.1675 1 273 21 396.9 5.64 23.9 506 0.04741 0 11.93 0 0.573 6.03 80.8 2.505 1 273 21 396.9 7.88 11.9 ; /* Create a separate training data set */ data training; set boston; if 1 <= _n_ <= 253; /* Here Proc Reg's best subset options to select several multiple regression models using the training data set. The first selection is based on choosing the model based on Mallow's Cp statistic. The second selection is based on choosing the model that maximizes adjusted R-square. The third selection is based on using the forward selection method with the critical p-value for the F-test set to 0.25. The fourth selection is based on using the backward selection method with the critical p-value of the F-test set to 0.10. The last selection is based on using the step-wise selection method. It uses 0.15 as the "in" and "out" critical p-values of the F-tests. */ proc reg data=training; model medv = CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT/selection=cp best=10; model medv = CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT/selection=adjrsq best=10; model medv = CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT/selection=forward slentry=0.25; model medv = CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT/selection=backward slstay=0.10; model medv = CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO B LSTAT/selection=stepwise; run; /* Here we create a separate validation data set. */ data validation; set boston; if 254 <= _n_ <= 405; /* Here we create a separate test data set. */ data test; set boston; if 406<= _n_ <= 506; /* Using the MSE criteria, let's score the two forward and backward subset linear regressions on the validation data set. */ data validation; set validation; backward = 42.97294 - 0.13198*crim + 0.06390*zn - 14.29410*nox + 3.04344*rm - 1.57859*dis + 0.47895*rad - 0.02040*tax - 0.97361*ptratio + 0.00912*b -0.58483*lstat; forward = 43.57616 - 0.12772*crim + 0.06285*zn + 1.82772*chas - 15.02283*nox + 2.95526*rm - 1.56824*dis + 0.45509*rad - 0.01927*tax - 0.96583*ptratio + 0.00862*b - 0.58449*lstat; ebackward = medv - backward; ebackward2 = ebackward**2; eforward = medv - forward; eforward2 = eforward**2; /* Use proc means to calculate the MSEs of the two competing best subset linear regression models using the validation data set. */ proc means data=validation; var ebackward2 eforward2; title 'MSEs of two best subset linear regression models'; run; /* Given the validation MSE's, the forward subset linear regression performed the best. */ /* Let's obtain the unconditional MSE (the square root of which is the unconditioal Root MSE) of the forward and backward multiple regressions by scoring the test data set. */ data test; set test; backward = 42.97294 - 0.13198*crim + 0.06390*zn - 14.29410*nox + 3.04344*rm - 1.57859*dis + 0.47895*rad - 0.02040*tax - 0.97361*ptratio + 0.00912*b -0.58483*lstat; forward = 43.57616 - 0.12772*crim + 0.06285*zn + 1.82772*chas - 15.02283*nox + 2.95526*rm - 1.56824*dis + 0.45509*rad - 0.01927*tax - 0.96583*ptratio + 0.00862*b - 0.58449*lstat; ebackward = medv - backward; ebackward2 = ebackward**2; eforward = medv - forward; eforward2 = eforward**2; proc means data=test; var eforward2; title 'Unconditional MSE of best validation regression obtained from test data set'; /* Just for the heck of it, let's see how the "inferior" validation regression performed in the test data set. */ proc means data=test; var ebackward2; title 'Unconditional MSE of the "inferior" subset regression obtained from test data set'; run;