Assignment 1
Mariana Leal Lopez A01570977, Sebastian Espinoza A00833704, José Arturo Silva A01198049
August 2023
# Import BD
bd<- read.csv("/Users/Mariana/Documents/5to/Econometrics/real_estate_data.csv")
bd## medv cmedv crim zn indus chas nox rm age dis rad tax
## 1 24.0 24.0 0.00632 18.0 2.31 0 0.5380 6.575 65.2 4.0900 1 296
## 2 21.6 21.6 0.02731 0.0 7.07 0 0.4690 6.421 78.9 4.9671 2 242
## 3 34.7 34.7 0.02729 0.0 7.07 0 0.4690 7.185 61.1 4.9671 2 242
## 4 33.4 33.4 0.03237 0.0 2.18 0 0.4580 6.998 45.8 6.0622 3 222
## 5 36.2 36.2 0.06905 0.0 2.18 0 0.4580 7.147 54.2 6.0622 3 222
## 6 28.7 28.7 0.02985 0.0 2.18 0 0.4580 6.430 58.7 6.0622 3 222
## 7 22.9 22.9 0.08829 12.5 7.87 0 0.5240 6.012 66.6 5.5605 5 311
## 8 27.1 22.1 0.14455 12.5 7.87 0 0.5240 6.172 96.1 5.9505 5 311
## 9 16.5 16.5 0.21124 12.5 7.87 0 0.5240 5.631 100.0 6.0821 5 311
## 10 18.9 18.9 0.17004 12.5 7.87 0 0.5240 6.004 85.9 6.5921 5 311
## 11 15.0 15.0 0.22489 12.5 7.87 0 0.5240 6.377 94.3 6.3467 5 311
## 12 18.9 18.9 0.11747 12.5 7.87 0 0.5240 6.009 82.9 6.2267 5 311
## 13 21.7 21.7 0.09378 12.5 7.87 0 0.5240 5.889 39.0 5.4509 5 311
## 14 20.4 20.4 0.62976 0.0 8.14 0 0.5380 5.949 61.8 4.7075 4 307
## 15 18.2 18.2 0.63796 0.0 8.14 0 0.5380 6.096 84.5 4.4619 4 307
## 16 19.9 19.9 0.62739 0.0 8.14 0 0.5380 5.834 56.5 4.4986 4 307
## 17 23.1 23.1 1.05393 0.0 8.14 0 0.5380 5.935 29.3 4.4986 4 307
## 18 17.5 17.5 0.78420 0.0 8.14 0 0.5380 5.990 81.7 4.2579 4 307
## 19 20.2 20.2 0.80271 0.0 8.14 0 0.5380 5.456 36.6 3.7965 4 307
## 20 18.2 18.2 0.72580 0.0 8.14 0 0.5380 5.727 69.5 3.7965 4 307
## 21 13.6 13.6 1.25179 0.0 8.14 0 0.5380 5.570 98.1 3.7979 4 307
## 22 19.6 19.6 0.85204 0.0 8.14 0 0.5380 5.965 89.2 4.0123 4 307
## 23 15.2 15.2 1.23247 0.0 8.14 0 0.5380 6.142 91.7 3.9769 4 307
## 24 14.5 14.5 0.98843 0.0 8.14 0 0.5380 5.813 100.0 4.0952 4 307
## 25 15.6 15.6 0.75026 0.0 8.14 0 0.5380 5.924 94.1 4.3996 4 307
## 26 13.9 13.9 0.84054 0.0 8.14 0 0.5380 5.599 85.7 4.4546 4 307
## 27 16.6 16.6 0.67191 0.0 8.14 0 0.5380 5.813 90.3 4.6820 4 307
## 28 14.8 14.8 0.95577 0.0 8.14 0 0.5380 6.047 88.8 4.4534 4 307
## 29 18.4 18.4 0.77299 0.0 8.14 0 0.5380 6.495 94.4 4.4547 4 307
## 30 21.0 21.0 1.00245 0.0 8.14 0 0.5380 6.674 87.3 4.2390 4 307
## 31 12.7 12.7 1.13081 0.0 8.14 0 0.5380 5.713 94.1 4.2330 4 307
## 32 14.5 14.5 1.35472 0.0 8.14 0 0.5380 6.072 100.0 4.1750 4 307
## 33 13.2 13.2 1.38799 0.0 8.14 0 0.5380 5.950 82.0 3.9900 4 307
## 34 13.1 13.1 1.15172 0.0 8.14 0 0.5380 5.701 95.0 3.7872 4 307
## 35 13.5 13.5 1.61282 0.0 8.14 0 0.5380 6.096 96.9 3.7598 4 307
## 36 18.9 18.9 0.06417 0.0 5.96 0 0.4990 5.933 68.2 3.3603 5 279
## 37 20.0 20.0 0.09744 0.0 5.96 0 0.4990 5.841 61.4 3.3779 5 279
## 38 21.0 21.0 0.08014 0.0 5.96 0 0.4990 5.850 41.5 3.9342 5 279
## 39 24.7 24.2 0.17505 0.0 5.96 0 0.4990 5.966 30.2 3.8473 5 279
## 40 30.8 30.8 0.02763 75.0 2.95 0 0.4280 6.595 21.8 5.4011 3 252
## 41 34.9 34.9 0.03359 75.0 2.95 0 0.4280 7.024 15.8 5.4011 3 252
## 42 26.6 26.6 0.12744 0.0 6.91 0 0.4480 6.770 2.9 5.7209 3 233
## 43 25.3 25.3 0.14150 0.0 6.91 0 0.4480 6.169 6.6 5.7209 3 233
## 44 24.7 24.7 0.15936 0.0 6.91 0 0.4480 6.211 6.5 5.7209 3 233
## 45 21.2 21.2 0.12269 0.0 6.91 0 0.4480 6.069 40.0 5.7209 3 233
## 46 19.3 19.3 0.17142 0.0 6.91 0 0.4480 5.682 33.8 5.1004 3 233
## 47 20.0 20.0 0.18836 0.0 6.91 0 0.4480 5.786 33.3 5.1004 3 233
## 48 16.6 16.6 0.22927 0.0 6.91 0 0.4480 6.030 85.5 5.6894 3 233
## 49 14.4 14.4 0.25387 0.0 6.91 0 0.4480 5.399 95.3 5.8700 3 233
## 50 19.4 19.4 0.21977 0.0 6.91 0 0.4480 5.602 62.0 6.0877 3 233
## 51 19.7 19.7 0.08873 21.0 5.64 0 0.4390 5.963 45.7 6.8147 4 243
## 52 20.5 20.5 0.04337 21.0 5.64 0 0.4390 6.115 63.0 6.8147 4 243
## 53 25.0 25.0 0.05360 21.0 5.64 0 0.4390 6.511 21.1 6.8147 4 243
## 54 23.4 23.4 0.04981 21.0 5.64 0 0.4390 5.998 21.4 6.8147 4 243
## 55 18.9 18.9 0.01360 75.0 4.00 0 0.4100 5.888 47.6 7.3197 3 469
## 56 35.4 35.4 0.01311 90.0 1.22 0 0.4030 7.249 21.9 8.6966 5 226
## 57 24.7 24.7 0.02055 85.0 0.74 0 0.4100 6.383 35.7 9.1876 2 313
## 58 31.6 31.6 0.01432 100.0 1.32 0 0.4110 6.816 40.5 8.3248 5 256
## 59 23.3 23.3 0.15445 25.0 5.13 0 0.4530 6.145 29.2 7.8148 8 284
## 60 19.6 19.6 0.10328 25.0 5.13 0 0.4530 5.927 47.2 6.9320 8 284
## 61 18.7 18.7 0.14932 25.0 5.13 0 0.4530 5.741 66.2 7.2254 8 284
## 62 16.0 16.0 0.17171 25.0 5.13 0 0.4530 5.966 93.4 6.8185 8 284
## 63 22.2 22.2 0.11027 25.0 5.13 0 0.4530 6.456 67.8 7.2255 8 284
## 64 25.0 25.0 0.12650 25.0 5.13 0 0.4530 6.762 43.4 7.9809 8 284
## 65 33.0 33.0 0.01951 17.5 1.38 0 0.4161 7.104 59.5 9.2229 3 216
## 66 23.5 23.5 0.03584 80.0 3.37 0 0.3980 6.290 17.8 6.6115 4 337
## 67 19.4 19.4 0.04379 80.0 3.37 0 0.3980 5.787 31.1 6.6115 4 337
## 68 22.0 22.0 0.05789 12.5 6.07 0 0.4090 5.878 21.4 6.4980 4 345
## 69 17.4 17.4 0.13554 12.5 6.07 0 0.4090 5.594 36.8 6.4980 4 345
## 70 20.9 20.9 0.12816 12.5 6.07 0 0.4090 5.885 33.0 6.4980 4 345
## 71 24.2 24.2 0.08826 0.0 10.81 0 0.4130 6.417 6.6 5.2873 4 305
## 72 21.7 21.7 0.15876 0.0 10.81 0 0.4130 5.961 17.5 5.2873 4 305
## 73 22.8 22.8 0.09164 0.0 10.81 0 0.4130 6.065 7.8 5.2873 4 305
## 74 23.4 23.4 0.19539 0.0 10.81 0 0.4130 6.245 6.2 5.2873 4 305
## 75 24.1 24.1 0.07896 0.0 12.83 0 0.4370 6.273 6.0 4.2515 5 398
## 76 21.4 21.4 0.09512 0.0 12.83 0 0.4370 6.286 45.0 4.5026 5 398
## 77 20.0 20.0 0.10153 0.0 12.83 0 0.4370 6.279 74.5 4.0522 5 398
## 78 20.8 20.8 0.08707 0.0 12.83 0 0.4370 6.140 45.8 4.0905 5 398
## 79 21.2 21.2 0.05646 0.0 12.83 0 0.4370 6.232 53.7 5.0141 5 398
## 80 20.3 20.3 0.08387 0.0 12.83 0 0.4370 5.874 36.6 4.5026 5 398
## 81 28.0 28.0 0.04113 25.0 4.86 0 0.4260 6.727 33.5 5.4007 4 281
## 82 23.9 23.9 0.04462 25.0 4.86 0 0.4260 6.619 70.4 5.4007 4 281
## 83 24.8 24.8 0.03659 25.0 4.86 0 0.4260 6.302 32.2 5.4007 4 281
## 84 22.9 22.9 0.03551 25.0 4.86 0 0.4260 6.167 46.7 5.4007 4 281
## 85 23.9 23.9 0.05059 0.0 4.49 0 0.4490 6.389 48.0 4.7794 3 247
## 86 26.6 26.6 0.05735 0.0 4.49 0 0.4490 6.630 56.1 4.4377 3 247
## 87 22.5 22.5 0.05188 0.0 4.49 0 0.4490 6.015 45.1 4.4272 3 247
## 88 22.2 22.2 0.07151 0.0 4.49 0 0.4490 6.121 56.8 3.7476 3 247
## 89 23.6 23.6 0.05660 0.0 3.41 0 0.4890 7.007 86.3 3.4217 2 270
## 90 28.7 28.7 0.05302 0.0 3.41 0 0.4890 7.079 63.1 3.4145 2 270
## 91 22.6 22.6 0.04684 0.0 3.41 0 0.4890 6.417 66.1 3.0923 2 270
## 92 22.0 22.0 0.03932 0.0 3.41 0 0.4890 6.405 73.9 3.0921 2 270
## 93 22.9 22.9 0.04203 28.0 15.04 0 0.4640 6.442 53.6 3.6659 4 270
## 94 25.0 25.0 0.02875 28.0 15.04 0 0.4640 6.211 28.9 3.6659 4 270
## 95 20.6 20.6 0.04294 28.0 15.04 0 0.4640 6.249 77.3 3.6150 4 270
## 96 28.4 28.4 0.12204 0.0 2.89 0 0.4450 6.625 57.8 3.4952 2 276
## 97 21.4 21.4 0.11504 0.0 2.89 0 0.4450 6.163 69.6 3.4952 2 276
## 98 38.7 38.7 0.12083 0.0 2.89 0 0.4450 8.069 76.0 3.4952 2 276
## 99 43.8 43.8 0.08187 0.0 2.89 0 0.4450 7.820 36.9 3.4952 2 276
## 100 33.2 33.2 0.06860 0.0 2.89 0 0.4450 7.416 62.5 3.4952 2 276
## 101 27.5 27.5 0.14866 0.0 8.56 0 0.5200 6.727 79.9 2.7778 5 384
## 102 26.5 26.5 0.11432 0.0 8.56 0 0.5200 6.781 71.3 2.8561 5 384
## 103 18.6 18.6 0.22876 0.0 8.56 0 0.5200 6.405 85.4 2.7147 5 384
## 104 19.3 19.3 0.21161 0.0 8.56 0 0.5200 6.137 87.4 2.7147 5 384
## 105 20.1 20.1 0.13960 0.0 8.56 0 0.5200 6.167 90.0 2.4210 5 384
## 106 19.5 19.5 0.13262 0.0 8.56 0 0.5200 5.851 96.7 2.1069 5 384
## 107 19.5 19.5 0.17120 0.0 8.56 0 0.5200 5.836 91.9 2.2110 5 384
## 108 20.4 20.4 0.13117 0.0 8.56 0 0.5200 6.127 85.2 2.1224 5 384
## 109 19.8 19.8 0.12802 0.0 8.56 0 0.5200 6.474 97.1 2.4329 5 384
## 110 19.4 19.4 0.26363 0.0 8.56 0 0.5200 6.229 91.2 2.5451 5 384
## 111 21.7 21.7 0.10793 0.0 8.56 0 0.5200 6.195 54.4 2.7778 5 384
## 112 22.8 22.8 0.10084 0.0 10.01 0 0.5470 6.715 81.6 2.6775 6 432
## 113 18.8 18.8 0.12329 0.0 10.01 0 0.5470 5.913 92.9 2.3534 6 432
## 114 18.7 18.7 0.22212 0.0 10.01 0 0.5470 6.092 95.4 2.5480 6 432
## 115 18.5 18.5 0.14231 0.0 10.01 0 0.5470 6.254 84.2 2.2565 6 432
## 116 18.3 18.3 0.17134 0.0 10.01 0 0.5470 5.928 88.2 2.4631 6 432
## 117 21.2 21.2 0.13158 0.0 10.01 0 0.5470 6.176 72.5 2.7301 6 432
## 118 19.2 19.2 0.15098 0.0 10.01 0 0.5470 6.021 82.6 2.7474 6 432
## 119 20.4 20.4 0.13058 0.0 10.01 0 0.5470 5.872 73.1 2.4775 6 432
## 120 19.3 19.3 0.14476 0.0 10.01 0 0.5470 5.731 65.2 2.7592 6 432
## 121 22.0 22.0 0.06899 0.0 25.65 0 0.5810 5.870 69.7 2.2577 2 188
## 122 20.3 20.3 0.07165 0.0 25.65 0 0.5810 6.004 84.1 2.1974 2 188
## 123 20.5 20.5 0.09299 0.0 25.65 0 0.5810 5.961 92.9 2.0869 2 188
## 124 17.3 17.3 0.15038 0.0 25.65 0 0.5810 5.856 97.0 1.9444 2 188
## 125 18.8 18.8 0.09849 0.0 25.65 0 0.5810 5.879 95.8 2.0063 2 188
## 126 21.4 21.4 0.16902 0.0 25.65 0 0.5810 5.986 88.4 1.9929 2 188
## 127 15.7 15.7 0.38735 0.0 25.65 0 0.5810 5.613 95.6 1.7572 2 188
## 128 16.2 16.2 0.25915 0.0 21.89 0 0.6240 5.693 96.0 1.7883 4 437
## 129 18.0 18.0 0.32543 0.0 21.89 0 0.6240 6.431 98.8 1.8125 4 437
## 130 14.3 14.3 0.88125 0.0 21.89 0 0.6240 5.637 94.7 1.9799 4 437
## 131 19.2 19.2 0.34006 0.0 21.89 0 0.6240 6.458 98.9 2.1185 4 437
## 132 19.6 19.6 1.19294 0.0 21.89 0 0.6240 6.326 97.7 2.2710 4 437
## 133 23.0 23.0 0.59005 0.0 21.89 0 0.6240 6.372 97.9 2.3274 4 437
## 134 18.4 18.4 0.32982 0.0 21.89 0 0.6240 5.822 95.4 2.4699 4 437
## 135 15.6 15.6 0.97617 0.0 21.89 0 0.6240 5.757 98.4 2.3460 4 437
## 136 18.1 18.1 0.55778 0.0 21.89 0 0.6240 6.335 98.2 2.1107 4 437
## 137 17.4 17.4 0.32264 0.0 21.89 0 0.6240 5.942 93.5 1.9669 4 437
## 138 17.1 17.1 0.35233 0.0 21.89 0 0.6240 6.454 98.4 1.8498 4 437
## 139 13.3 13.3 0.24980 0.0 21.89 0 0.6240 5.857 98.2 1.6686 4 437
## 140 17.8 17.8 0.54452 0.0 21.89 0 0.6240 6.151 97.9 1.6687 4 437
## 141 14.0 14.0 0.29090 0.0 21.89 0 0.6240 6.174 93.6 1.6119 4 437
## 142 14.4 14.4 1.62864 0.0 21.89 0 0.6240 5.019 100.0 1.4394 4 437
## 143 13.4 13.4 3.32105 0.0 19.58 1 0.8710 5.403 100.0 1.3216 5 403
## 144 15.6 15.6 4.09740 0.0 19.58 0 0.8710 5.468 100.0 1.4118 5 403
## 145 11.8 11.8 2.77974 0.0 19.58 0 0.8710 4.903 97.8 1.3459 5 403
## 146 13.8 13.8 2.37934 0.0 19.58 0 0.8710 6.130 100.0 1.4191 5 403
## 147 15.6 15.6 2.15505 0.0 19.58 0 0.8710 5.628 100.0 1.5166 5 403
## 148 14.6 14.6 2.36862 0.0 19.58 0 0.8710 4.926 95.7 1.4608 5 403
## 149 17.8 17.8 2.33099 0.0 19.58 0 0.8710 5.186 93.8 1.5296 5 403
## 150 15.4 15.4 2.73397 0.0 19.58 0 0.8710 5.597 94.9 1.5257 5 403
## 151 21.5 21.5 1.65660 0.0 19.58 0 0.8710 6.122 97.3 1.6180 5 403
## 152 19.6 19.6 1.49632 0.0 19.58 0 0.8710 5.404 100.0 1.5916 5 403
## 153 15.3 15.3 1.12658 0.0 19.58 1 0.8710 5.012 88.0 1.6102 5 403
## 154 19.4 19.4 2.14918 0.0 19.58 0 0.8710 5.709 98.5 1.6232 5 403
## 155 17.0 17.0 1.41385 0.0 19.58 1 0.8710 6.129 96.0 1.7494 5 403
## 156 15.6 15.6 3.53501 0.0 19.58 1 0.8710 6.152 82.6 1.7455 5 403
## 157 13.1 13.1 2.44668 0.0 19.58 0 0.8710 5.272 94.0 1.7364 5 403
## 158 41.3 41.3 1.22358 0.0 19.58 0 0.6050 6.943 97.4 1.8773 5 403
## 159 24.3 24.3 1.34284 0.0 19.58 0 0.6050 6.066 100.0 1.7573 5 403
## 160 23.3 23.3 1.42502 0.0 19.58 0 0.8710 6.510 100.0 1.7659 5 403
## 161 27.0 27.0 1.27346 0.0 19.58 1 0.6050 6.250 92.6 1.7984 5 403
## 162 50.0 50.0 1.46336 0.0 19.58 0 0.6050 7.489 90.8 1.9709 5 403
## 163 50.0 50.0 1.83377 0.0 19.58 1 0.6050 7.802 98.2 2.0407 5 403
## 164 50.0 50.0 1.51902 0.0 19.58 1 0.6050 8.375 93.9 2.1620 5 403
## 165 22.7 22.7 2.24236 0.0 19.58 0 0.6050 5.854 91.8 2.4220 5 403
## 166 25.0 25.0 2.92400 0.0 19.58 0 0.6050 6.101 93.0 2.2834 5 403
## 167 50.0 50.0 2.01019 0.0 19.58 0 0.6050 7.929 96.2 2.0459 5 403
## 168 23.8 23.8 1.80028 0.0 19.58 0 0.6050 5.877 79.2 2.4259 5 403
## 169 23.8 23.8 2.30040 0.0 19.58 0 0.6050 6.319 96.1 2.1000 5 403
## 170 22.3 22.3 2.44953 0.0 19.58 0 0.6050 6.402 95.2 2.2625 5 403
## 171 17.4 17.4 1.20742 0.0 19.58 0 0.6050 5.875 94.6 2.4259 5 403
## 172 19.1 19.1 2.31390 0.0 19.58 0 0.6050 5.880 97.3 2.3887 5 403
## 173 23.1 23.1 0.13914 0.0 4.05 0 0.5100 5.572 88.5 2.5961 5 296
## 174 23.6 23.6 0.09178 0.0 4.05 0 0.5100 6.416 84.1 2.6463 5 296
## 175 22.6 22.6 0.08447 0.0 4.05 0 0.5100 5.859 68.7 2.7019 5 296
## 176 29.4 29.4 0.06664 0.0 4.05 0 0.5100 6.546 33.1 3.1323 5 296
## 177 23.2 23.2 0.07022 0.0 4.05 0 0.5100 6.020 47.2 3.5549 5 296
## 178 24.6 24.6 0.05425 0.0 4.05 0 0.5100 6.315 73.4 3.3175 5 296
## 179 29.9 29.9 0.06642 0.0 4.05 0 0.5100 6.860 74.4 2.9153 5 296
## 180 37.2 37.2 0.05780 0.0 2.46 0 0.4880 6.980 58.4 2.8290 3 193
## 181 39.8 39.8 0.06588 0.0 2.46 0 0.4880 7.765 83.3 2.7410 3 193
## 182 36.2 36.2 0.06888 0.0 2.46 0 0.4880 6.144 62.2 2.5979 3 193
## 183 37.9 37.9 0.09103 0.0 2.46 0 0.4880 7.155 92.2 2.7006 3 193
## 184 32.5 32.5 0.10008 0.0 2.46 0 0.4880 6.563 95.6 2.8470 3 193
## 185 26.4 26.4 0.08308 0.0 2.46 0 0.4880 5.604 89.8 2.9879 3 193
## 186 29.6 29.6 0.06047 0.0 2.46 0 0.4880 6.153 68.8 3.2797 3 193
## 187 50.0 50.0 0.05602 0.0 2.46 0 0.4880 7.831 53.6 3.1992 3 193
## 188 32.0 32.0 0.07875 45.0 3.44 0 0.4370 6.782 41.1 3.7886 5 398
## 189 29.8 29.8 0.12579 45.0 3.44 0 0.4370 6.556 29.1 4.5667 5 398
## 190 34.9 34.9 0.08370 45.0 3.44 0 0.4370 7.185 38.9 4.5667 5 398
## 191 37.0 33.0 0.09068 45.0 3.44 0 0.4370 6.951 21.5 6.4798 5 398
## 192 30.5 30.5 0.06911 45.0 3.44 0 0.4370 6.739 30.8 6.4798 5 398
## 193 36.4 36.4 0.08664 45.0 3.44 0 0.4370 7.178 26.3 6.4798 5 398
## 194 31.1 31.1 0.02187 60.0 2.93 0 0.4010 6.800 9.9 6.2196 1 265
## 195 29.1 29.1 0.01439 60.0 2.93 0 0.4010 6.604 18.8 6.2196 1 265
## 196 50.0 50.0 0.01381 80.0 0.46 0 0.4220 7.875 32.0 5.6484 4 255
## 197 33.3 33.3 0.04011 80.0 1.52 0 0.4040 7.287 34.1 7.3090 2 329
## 198 30.3 30.3 0.04666 80.0 1.52 0 0.4040 7.107 36.6 7.3090 2 329
## 199 34.6 34.6 0.03768 80.0 1.52 0 0.4040 7.274 38.3 7.3090 2 329
## 200 34.9 34.9 0.03150 95.0 1.47 0 0.4030 6.975 15.3 7.6534 3 402
## 201 32.9 32.9 0.01778 95.0 1.47 0 0.4030 7.135 13.9 7.6534 3 402
## 202 24.1 24.1 0.03445 82.5 2.03 0 0.4150 6.162 38.4 6.2700 2 348
## 203 42.3 42.3 0.02177 82.5 2.03 0 0.4150 7.610 15.7 6.2700 2 348
## 204 48.5 48.5 0.03510 95.0 2.68 0 0.4161 7.853 33.2 5.1180 4 224
## 205 50.0 50.0 0.02009 95.0 2.68 0 0.4161 8.034 31.9 5.1180 4 224
## 206 22.6 22.6 0.13642 0.0 10.59 0 0.4890 5.891 22.3 3.9454 4 277
## 207 24.4 24.4 0.22969 0.0 10.59 0 0.4890 6.326 52.5 4.3549 4 277
## 208 22.5 22.5 0.25199 0.0 10.59 0 0.4890 5.783 72.7 4.3549 4 277
## 209 24.4 24.4 0.13587 0.0 10.59 1 0.4890 6.064 59.1 4.2392 4 277
## 210 20.0 20.0 0.43571 0.0 10.59 1 0.4890 5.344 100.0 3.8750 4 277
## 211 21.7 21.7 0.17446 0.0 10.59 1 0.4890 5.960 92.1 3.8771 4 277
## 212 19.3 19.3 0.37578 0.0 10.59 1 0.4890 5.404 88.6 3.6650 4 277
## 213 22.4 22.4 0.21719 0.0 10.59 1 0.4890 5.807 53.8 3.6526 4 277
## 214 28.1 28.1 0.14052 0.0 10.59 0 0.4890 6.375 32.3 3.9454 4 277
## 215 23.7 23.7 0.28955 0.0 10.59 0 0.4890 5.412 9.8 3.5875 4 277
## 216 25.0 25.0 0.19802 0.0 10.59 0 0.4890 6.182 42.4 3.9454 4 277
## 217 23.3 23.3 0.04560 0.0 13.89 1 0.5500 5.888 56.0 3.1121 5 276
## 218 28.7 28.7 0.07013 0.0 13.89 0 0.5500 6.642 85.1 3.4211 5 276
## 219 21.5 21.5 0.11069 0.0 13.89 1 0.5500 5.951 93.8 2.8893 5 276
## 220 23.0 23.0 0.11425 0.0 13.89 1 0.5500 6.373 92.4 3.3633 5 276
## 221 26.7 26.7 0.35809 0.0 6.20 1 0.5070 6.951 88.5 2.8617 8 307
## 222 21.7 21.7 0.40771 0.0 6.20 1 0.5070 6.164 91.3 3.0480 8 307
## 223 27.5 27.5 0.62356 0.0 6.20 1 0.5070 6.879 77.7 3.2721 8 307
## 224 30.1 30.1 0.61470 0.0 6.20 0 0.5070 6.618 80.8 3.2721 8 307
## 225 44.8 44.8 0.31533 0.0 6.20 0 0.5040 8.266 78.3 2.8944 8 307
## 226 50.0 50.0 0.52693 0.0 6.20 0 0.5040 8.725 83.0 2.8944 8 307
## 227 37.6 37.6 0.38214 0.0 6.20 0 0.5040 8.040 86.5 3.2157 8 307
## 228 31.6 31.6 0.41238 0.0 6.20 0 0.5040 7.163 79.9 3.2157 8 307
## 229 46.7 46.7 0.29819 0.0 6.20 0 0.5040 7.686 17.0 3.3751 8 307
## 230 31.5 31.5 0.44178 0.0 6.20 0 0.5040 6.552 21.4 3.3751 8 307
## 231 24.3 24.3 0.53700 0.0 6.20 0 0.5040 5.981 68.1 3.6715 8 307
## 232 31.7 31.7 0.46296 0.0 6.20 0 0.5040 7.412 76.9 3.6715 8 307
## 233 41.7 41.7 0.57529 0.0 6.20 0 0.5070 8.337 73.3 3.8384 8 307
## 234 48.3 48.3 0.33147 0.0 6.20 0 0.5070 8.247 70.4 3.6519 8 307
## 235 29.0 29.0 0.44791 0.0 6.20 1 0.5070 6.726 66.5 3.6519 8 307
## 236 24.0 24.0 0.33045 0.0 6.20 0 0.5070 6.086 61.5 3.6519 8 307
## 237 25.1 25.1 0.52058 0.0 6.20 1 0.5070 6.631 76.5 4.1480 8 307
## 238 31.5 31.5 0.51183 0.0 6.20 0 0.5070 7.358 71.6 4.1480 8 307
## 239 23.7 23.7 0.08244 30.0 4.93 0 0.4280 6.481 18.5 6.1899 6 300
## 240 23.3 23.3 0.09252 30.0 4.93 0 0.4280 6.606 42.2 6.1899 6 300
## 241 22.0 27.0 0.11329 30.0 4.93 0 0.4280 6.897 54.3 6.3361 6 300
## 242 20.1 20.1 0.10612 30.0 4.93 0 0.4280 6.095 65.1 6.3361 6 300
## 243 22.2 22.2 0.10290 30.0 4.93 0 0.4280 6.358 52.9 7.0355 6 300
## 244 23.7 23.7 0.12757 30.0 4.93 0 0.4280 6.393 7.8 7.0355 6 300
## 245 17.6 17.6 0.20608 22.0 5.86 0 0.4310 5.593 76.5 7.9549 7 330
## 246 18.5 18.5 0.19133 22.0 5.86 0 0.4310 5.605 70.2 7.9549 7 330
## 247 24.3 24.3 0.33983 22.0 5.86 0 0.4310 6.108 34.9 8.0555 7 330
## 248 20.5 20.5 0.19657 22.0 5.86 0 0.4310 6.226 79.2 8.0555 7 330
## 249 24.5 24.5 0.16439 22.0 5.86 0 0.4310 6.433 49.1 7.8265 7 330
## 250 26.2 26.2 0.19073 22.0 5.86 0 0.4310 6.718 17.5 7.8265 7 330
## 251 24.4 24.4 0.14030 22.0 5.86 0 0.4310 6.487 13.0 7.3967 7 330
## 252 24.8 24.8 0.21409 22.0 5.86 0 0.4310 6.438 8.9 7.3967 7 330
## 253 29.6 29.6 0.08221 22.0 5.86 0 0.4310 6.957 6.8 8.9067 7 330
## 254 42.8 42.8 0.36894 22.0 5.86 0 0.4310 8.259 8.4 8.9067 7 330
## 255 21.9 21.9 0.04819 80.0 3.64 0 0.3920 6.108 32.0 9.2203 1 315
## 256 20.9 20.9 0.03548 80.0 3.64 0 0.3920 5.876 19.1 9.2203 1 315
## 257 44.0 44.0 0.01538 90.0 3.75 0 0.3940 7.454 34.2 6.3361 3 244
## 258 50.0 50.0 0.61154 20.0 3.97 0 0.6470 8.704 86.9 1.8010 5 264
## 259 36.0 36.0 0.66351 20.0 3.97 0 0.6470 7.333 100.0 1.8946 5 264
## 260 30.1 30.1 0.65665 20.0 3.97 0 0.6470 6.842 100.0 2.0107 5 264
## 261 33.8 33.8 0.54011 20.0 3.97 0 0.6470 7.203 81.8 2.1121 5 264
## 262 43.1 43.1 0.53412 20.0 3.97 0 0.6470 7.520 89.4 2.1398 5 264
## 263 48.8 48.8 0.52014 20.0 3.97 0 0.6470 8.398 91.5 2.2885 5 264
## 264 31.0 31.0 0.82526 20.0 3.97 0 0.6470 7.327 94.5 2.0788 5 264
## 265 36.5 36.5 0.55007 20.0 3.97 0 0.6470 7.206 91.6 1.9301 5 264
## 266 22.8 22.8 0.76162 20.0 3.97 0 0.6470 5.560 62.8 1.9865 5 264
## 267 30.7 30.7 0.78570 20.0 3.97 0 0.6470 7.014 84.6 2.1329 5 264
## 268 50.0 50.0 0.57834 20.0 3.97 0 0.5750 8.297 67.0 2.4216 5 264
## 269 43.5 43.5 0.54050 20.0 3.97 0 0.5750 7.470 52.6 2.8720 5 264
## 270 20.7 20.7 0.09065 20.0 6.96 1 0.4640 5.920 61.5 3.9175 3 223
## 271 21.1 21.1 0.29916 20.0 6.96 0 0.4640 5.856 42.1 4.4290 3 223
## 272 25.2 25.2 0.16211 20.0 6.96 0 0.4640 6.240 16.3 4.4290 3 223
## 273 24.4 24.4 0.11460 20.0 6.96 0 0.4640 6.538 58.7 3.9175 3 223
## 274 35.2 35.2 0.22188 20.0 6.96 1 0.4640 7.691 51.8 4.3665 3 223
## 275 32.4 32.4 0.05644 40.0 6.41 1 0.4470 6.758 32.9 4.0776 4 254
## 276 32.0 32.0 0.09604 40.0 6.41 0 0.4470 6.854 42.8 4.2673 4 254
## 277 33.2 33.2 0.10469 40.0 6.41 1 0.4470 7.267 49.0 4.7872 4 254
## 278 33.1 33.1 0.06127 40.0 6.41 1 0.4470 6.826 27.6 4.8628 4 254
## 279 29.1 29.1 0.07978 40.0 6.41 0 0.4470 6.482 32.1 4.1403 4 254
## 280 35.1 35.1 0.21038 20.0 3.33 0 0.4429 6.812 32.2 4.1007 5 216
## 281 45.4 45.4 0.03578 20.0 3.33 0 0.4429 7.820 64.5 4.6947 5 216
## 282 35.4 35.4 0.03705 20.0 3.33 0 0.4429 6.968 37.2 5.2447 5 216
## 283 46.0 46.0 0.06129 20.0 3.33 1 0.4429 7.645 49.7 5.2119 5 216
## 284 50.0 50.0 0.01501 90.0 1.21 1 0.4010 7.923 24.8 5.8850 1 198
## 285 32.2 32.2 0.00906 90.0 2.97 0 0.4000 7.088 20.8 7.3073 1 285
## 286 22.0 22.0 0.01096 55.0 2.25 0 0.3890 6.453 31.9 7.3073 1 300
## 287 20.1 20.1 0.01965 80.0 1.76 0 0.3850 6.230 31.5 9.0892 1 241
## 288 23.2 23.2 0.03871 52.5 5.32 0 0.4050 6.209 31.3 7.3172 6 293
## 289 22.3 22.3 0.04590 52.5 5.32 0 0.4050 6.315 45.6 7.3172 6 293
## 290 24.8 24.8 0.04297 52.5 5.32 0 0.4050 6.565 22.9 7.3172 6 293
## 291 28.5 28.5 0.03502 80.0 4.95 0 0.4110 6.861 27.9 5.1167 4 245
## 292 37.3 37.3 0.07886 80.0 4.95 0 0.4110 7.148 27.7 5.1167 4 245
## 293 27.9 27.9 0.03615 80.0 4.95 0 0.4110 6.630 23.4 5.1167 4 245
## 294 23.9 23.9 0.08265 0.0 13.92 0 0.4370 6.127 18.4 5.5027 4 289
## 295 21.7 21.7 0.08199 0.0 13.92 0 0.4370 6.009 42.3 5.5027 4 289
## 296 28.6 28.6 0.12932 0.0 13.92 0 0.4370 6.678 31.1 5.9604 4 289
## 297 27.1 27.1 0.05372 0.0 13.92 0 0.4370 6.549 51.0 5.9604 4 289
## 298 20.3 20.3 0.14103 0.0 13.92 0 0.4370 5.790 58.0 6.3200 4 289
## 299 22.5 22.5 0.06466 70.0 2.24 0 0.4000 6.345 20.1 7.8278 5 358
## 300 29.0 29.0 0.05561 70.0 2.24 0 0.4000 7.041 10.0 7.8278 5 358
## 301 24.8 24.8 0.04417 70.0 2.24 0 0.4000 6.871 47.4 7.8278 5 358
## 302 22.0 22.0 0.03537 34.0 6.09 0 0.4330 6.590 40.4 5.4917 7 329
## 303 26.4 26.4 0.09266 34.0 6.09 0 0.4330 6.495 18.4 5.4917 7 329
## 304 33.1 33.1 0.10000 34.0 6.09 0 0.4330 6.982 17.7 5.4917 7 329
## 305 36.1 36.1 0.05515 33.0 2.18 0 0.4720 7.236 41.1 4.0220 7 222
## 306 28.4 28.4 0.05479 33.0 2.18 0 0.4720 6.616 58.1 3.3700 7 222
## 307 33.4 33.4 0.07503 33.0 2.18 0 0.4720 7.420 71.9 3.0992 7 222
## 308 28.2 28.2 0.04932 33.0 2.18 0 0.4720 6.849 70.3 3.1827 7 222
## 309 22.8 22.8 0.49298 0.0 9.90 0 0.5440 6.635 82.5 3.3175 4 304
## 310 20.3 20.3 0.34940 0.0 9.90 0 0.5440 5.972 76.7 3.1025 4 304
## 311 16.1 16.1 2.63548 0.0 9.90 0 0.5440 4.973 37.8 2.5194 4 304
## 312 22.1 22.1 0.79041 0.0 9.90 0 0.5440 6.122 52.8 2.6403 4 304
## 313 19.4 19.4 0.26169 0.0 9.90 0 0.5440 6.023 90.4 2.8340 4 304
## 314 21.6 21.6 0.26938 0.0 9.90 0 0.5440 6.266 82.8 3.2628 4 304
## 315 23.8 23.8 0.36920 0.0 9.90 0 0.5440 6.567 87.3 3.6023 4 304
## 316 16.2 16.2 0.25356 0.0 9.90 0 0.5440 5.705 77.7 3.9450 4 304
## 317 17.8 17.8 0.31827 0.0 9.90 0 0.5440 5.914 83.2 3.9986 4 304
## 318 19.8 19.8 0.24522 0.0 9.90 0 0.5440 5.782 71.7 4.0317 4 304
## 319 23.1 23.1 0.40202 0.0 9.90 0 0.5440 6.382 67.2 3.5325 4 304
## 320 21.0 21.0 0.47547 0.0 9.90 0 0.5440 6.113 58.8 4.0019 4 304
## 321 23.8 23.8 0.16760 0.0 7.38 0 0.4930 6.426 52.3 4.5404 5 287
## 322 23.1 23.1 0.18159 0.0 7.38 0 0.4930 6.376 54.3 4.5404 5 287
## 323 20.4 20.4 0.35114 0.0 7.38 0 0.4930 6.041 49.9 4.7211 5 287
## 324 18.5 18.5 0.28392 0.0 7.38 0 0.4930 5.708 74.3 4.7211 5 287
## 325 25.0 25.0 0.34109 0.0 7.38 0 0.4930 6.415 40.1 4.7211 5 287
## 326 24.6 24.6 0.19186 0.0 7.38 0 0.4930 6.431 14.7 5.4159 5 287
## 327 23.0 23.0 0.30347 0.0 7.38 0 0.4930 6.312 28.9 5.4159 5 287
## 328 22.2 22.2 0.24103 0.0 7.38 0 0.4930 6.083 43.7 5.4159 5 287
## 329 19.3 19.3 0.06617 0.0 3.24 0 0.4600 5.868 25.8 5.2146 4 430
## 330 22.6 22.6 0.06724 0.0 3.24 0 0.4600 6.333 17.2 5.2146 4 430
## 331 19.8 19.8 0.04544 0.0 3.24 0 0.4600 6.144 32.2 5.8736 4 430
## 332 17.1 17.1 0.05023 35.0 6.06 0 0.4379 5.706 28.4 6.6407 1 304
## 333 19.4 19.4 0.03466 35.0 6.06 0 0.4379 6.031 23.3 6.6407 1 304
## 334 22.2 22.2 0.05083 0.0 5.19 0 0.5150 6.316 38.1 6.4584 5 224
## 335 20.7 20.7 0.03738 0.0 5.19 0 0.5150 6.310 38.5 6.4584 5 224
## 336 21.1 21.1 0.03961 0.0 5.19 0 0.5150 6.037 34.5 5.9853 5 224
## 337 19.5 19.5 0.03427 0.0 5.19 0 0.5150 5.869 46.3 5.2311 5 224
## 338 18.5 18.5 0.03041 0.0 5.19 0 0.5150 5.895 59.6 5.6150 5 224
## 339 20.6 20.6 0.03306 0.0 5.19 0 0.5150 6.059 37.3 4.8122 5 224
## 340 19.0 19.0 0.05497 0.0 5.19 0 0.5150 5.985 45.4 4.8122 5 224
## 341 18.7 18.7 0.06151 0.0 5.19 0 0.5150 5.968 58.5 4.8122 5 224
## 342 32.7 32.7 0.01301 35.0 1.52 0 0.4420 7.241 49.3 7.0379 1 284
## 343 16.5 16.5 0.02498 0.0 1.89 0 0.5180 6.540 59.7 6.2669 1 422
## 344 23.9 23.9 0.02543 55.0 3.78 0 0.4840 6.696 56.4 5.7321 5 370
## 345 31.2 31.2 0.03049 55.0 3.78 0 0.4840 6.874 28.1 6.4654 5 370
## 346 17.5 17.5 0.03113 0.0 4.39 0 0.4420 6.014 48.5 8.0136 3 352
## 347 17.2 17.2 0.06162 0.0 4.39 0 0.4420 5.898 52.3 8.0136 3 352
## 348 23.1 23.1 0.01870 85.0 4.15 0 0.4290 6.516 27.7 8.5353 4 351
## 349 24.5 24.5 0.01501 80.0 2.01 0 0.4350 6.635 29.7 8.3440 4 280
## 350 26.6 26.6 0.02899 40.0 1.25 0 0.4290 6.939 34.5 8.7921 1 335
## 351 22.9 22.9 0.06211 40.0 1.25 0 0.4290 6.490 44.4 8.7921 1 335
## 352 24.1 24.1 0.07950 60.0 1.69 0 0.4110 6.579 35.9 10.7103 4 411
## 353 18.6 18.6 0.07244 60.0 1.69 0 0.4110 5.884 18.5 10.7103 4 411
## 354 30.1 30.1 0.01709 90.0 2.02 0 0.4100 6.728 36.1 12.1265 5 187
## 355 18.2 18.2 0.04301 80.0 1.91 0 0.4130 5.663 21.9 10.5857 4 334
## 356 20.6 20.6 0.10659 80.0 1.91 0 0.4130 5.936 19.5 10.5857 4 334
## 357 17.8 17.8 8.98296 0.0 18.10 1 0.7700 6.212 97.4 2.1222 24 666
## 358 21.7 21.7 3.84970 0.0 18.10 1 0.7700 6.395 91.0 2.5052 24 666
## 359 22.7 22.7 5.20177 0.0 18.10 1 0.7700 6.127 83.4 2.7227 24 666
## 360 22.6 22.6 4.26131 0.0 18.10 0 0.7700 6.112 81.3 2.5091 24 666
## 361 25.0 25.0 4.54192 0.0 18.10 0 0.7700 6.398 88.0 2.5182 24 666
## 362 19.9 19.9 3.83684 0.0 18.10 0 0.7700 6.251 91.1 2.2955 24 666
## 363 20.8 20.8 3.67822 0.0 18.10 0 0.7700 5.362 96.2 2.1036 24 666
## 364 16.8 16.8 4.22239 0.0 18.10 1 0.7700 5.803 89.0 1.9047 24 666
## 365 21.9 21.9 3.47428 0.0 18.10 1 0.7180 8.780 82.9 1.9047 24 666
## 366 27.5 27.5 4.55587 0.0 18.10 0 0.7180 3.561 87.9 1.6132 24 666
## 367 21.9 21.9 3.69695 0.0 18.10 0 0.7180 4.963 91.4 1.7523 24 666
## 368 23.1 23.1 13.52220 0.0 18.10 0 0.6310 3.863 100.0 1.5106 24 666
## 369 50.0 50.0 4.89822 0.0 18.10 0 0.6310 4.970 100.0 1.3325 24 666
## 370 50.0 50.0 5.66998 0.0 18.10 1 0.6310 6.683 96.8 1.3567 24 666
## 371 50.0 50.0 6.53876 0.0 18.10 1 0.6310 7.016 97.5 1.2024 24 666
## 372 50.0 50.0 9.23230 0.0 18.10 0 0.6310 6.216 100.0 1.1691 24 666
## 373 50.0 50.0 8.26725 0.0 18.10 1 0.6680 5.875 89.6 1.1296 24 666
## 374 13.8 13.8 11.10810 0.0 18.10 0 0.6680 4.906 100.0 1.1742 24 666
## 375 13.8 13.8 18.49820 0.0 18.10 0 0.6680 4.138 100.0 1.1370 24 666
## 376 15.0 15.0 19.60910 0.0 18.10 0 0.6710 7.313 97.9 1.3163 24 666
## 377 13.9 13.9 15.28800 0.0 18.10 0 0.6710 6.649 93.3 1.3449 24 666
## 378 13.3 13.3 9.82349 0.0 18.10 0 0.6710 6.794 98.8 1.3580 24 666
## 379 13.1 13.1 23.64820 0.0 18.10 0 0.6710 6.380 96.2 1.3861 24 666
## 380 10.2 10.2 17.86670 0.0 18.10 0 0.6710 6.223 100.0 1.3861 24 666
## 381 10.4 10.4 88.97620 0.0 18.10 0 0.6710 6.968 91.9 1.4165 24 666
## 382 10.9 10.9 15.87440 0.0 18.10 0 0.6710 6.545 99.1 1.5192 24 666
## 383 11.3 11.3 9.18702 0.0 18.10 0 0.7000 5.536 100.0 1.5804 24 666
## 384 12.3 12.3 7.99248 0.0 18.10 0 0.7000 5.520 100.0 1.5331 24 666
## 385 8.8 8.8 20.08490 0.0 18.10 0 0.7000 4.368 91.2 1.4395 24 666
## 386 7.2 7.2 16.81180 0.0 18.10 0 0.7000 5.277 98.1 1.4261 24 666
## 387 10.5 10.5 24.39380 0.0 18.10 0 0.7000 4.652 100.0 1.4672 24 666
## 388 7.4 7.4 22.59710 0.0 18.10 0 0.7000 5.000 89.5 1.5184 24 666
## 389 10.2 10.2 14.33370 0.0 18.10 0 0.7000 4.880 100.0 1.5895 24 666
## 390 11.5 11.5 8.15174 0.0 18.10 0 0.7000 5.390 98.9 1.7281 24 666
## 391 15.1 15.1 6.96215 0.0 18.10 0 0.7000 5.713 97.0 1.9265 24 666
## 392 23.2 23.2 5.29305 0.0 18.10 0 0.7000 6.051 82.5 2.1678 24 666
## 393 9.7 9.7 11.57790 0.0 18.10 0 0.7000 5.036 97.0 1.7700 24 666
## 394 13.8 13.8 8.64476 0.0 18.10 0 0.6930 6.193 92.6 1.7912 24 666
## 395 12.7 12.7 13.35980 0.0 18.10 0 0.6930 5.887 94.7 1.7821 24 666
## 396 13.1 13.1 8.71675 0.0 18.10 0 0.6930 6.471 98.8 1.7257 24 666
## 397 12.5 12.5 5.87205 0.0 18.10 0 0.6930 6.405 96.0 1.6768 24 666
## 398 8.5 8.5 7.67202 0.0 18.10 0 0.6930 5.747 98.9 1.6334 24 666
## 399 5.0 5.0 38.35180 0.0 18.10 0 0.6930 5.453 100.0 1.4896 24 666
## 400 6.3 6.3 9.91655 0.0 18.10 0 0.6930 5.852 77.8 1.5004 24 666
## 401 5.6 5.6 25.04610 0.0 18.10 0 0.6930 5.987 100.0 1.5888 24 666
## 402 7.2 7.2 14.23620 0.0 18.10 0 0.6930 6.343 100.0 1.5741 24 666
## 403 12.1 12.1 9.59571 0.0 18.10 0 0.6930 6.404 100.0 1.6390 24 666
## 404 8.3 8.3 24.80170 0.0 18.10 0 0.6930 5.349 96.0 1.7028 24 666
## 405 8.5 8.5 41.52920 0.0 18.10 0 0.6930 5.531 85.4 1.6074 24 666
## 406 5.0 5.0 67.92080 0.0 18.10 0 0.6930 5.683 100.0 1.4254 24 666
## 407 11.9 11.9 20.71620 0.0 18.10 0 0.6590 4.138 100.0 1.1781 24 666
## 408 27.9 27.9 11.95110 0.0 18.10 0 0.6590 5.608 100.0 1.2852 24 666
## 409 17.2 17.2 7.40389 0.0 18.10 0 0.5970 5.617 97.9 1.4547 24 666
## 410 27.5 27.5 14.43830 0.0 18.10 0 0.5970 6.852 100.0 1.4655 24 666
## 411 15.0 15.0 51.13580 0.0 18.10 0 0.5970 5.757 100.0 1.4130 24 666
## 412 17.2 17.2 14.05070 0.0 18.10 0 0.5970 6.657 100.0 1.5275 24 666
## 413 17.9 17.9 18.81100 0.0 18.10 0 0.5970 4.628 100.0 1.5539 24 666
## 414 16.3 16.3 28.65580 0.0 18.10 0 0.5970 5.155 100.0 1.5894 24 666
## 415 7.0 7.0 45.74610 0.0 18.10 0 0.6930 4.519 100.0 1.6582 24 666
## 416 7.2 7.2 18.08460 0.0 18.10 0 0.6790 6.434 100.0 1.8347 24 666
## 417 7.5 7.5 10.83420 0.0 18.10 0 0.6790 6.782 90.8 1.8195 24 666
## 418 10.4 10.4 25.94060 0.0 18.10 0 0.6790 5.304 89.1 1.6475 24 666
## 419 8.8 8.8 73.53410 0.0 18.10 0 0.6790 5.957 100.0 1.8026 24 666
## 420 8.4 8.4 11.81230 0.0 18.10 0 0.7180 6.824 76.5 1.7940 24 666
## 421 16.7 16.7 11.08740 0.0 18.10 0 0.7180 6.411 100.0 1.8589 24 666
## 422 14.2 14.2 7.02259 0.0 18.10 0 0.7180 6.006 95.3 1.8746 24 666
## 423 20.8 20.8 12.04820 0.0 18.10 0 0.6140 5.648 87.6 1.9512 24 666
## 424 13.4 13.4 7.05042 0.0 18.10 0 0.6140 6.103 85.1 2.0218 24 666
## 425 11.7 11.7 8.79212 0.0 18.10 0 0.5840 5.565 70.6 2.0635 24 666
## 426 8.3 8.3 15.86030 0.0 18.10 0 0.6790 5.896 95.4 1.9096 24 666
## 427 10.2 10.2 12.24720 0.0 18.10 0 0.5840 5.837 59.7 1.9976 24 666
## 428 10.9 10.9 37.66190 0.0 18.10 0 0.6790 6.202 78.7 1.8629 24 666
## 429 11.0 11.0 7.36711 0.0 18.10 0 0.6790 6.193 78.1 1.9356 24 666
## 430 9.5 9.5 9.33889 0.0 18.10 0 0.6790 6.380 95.6 1.9682 24 666
## 431 14.5 14.5 8.49213 0.0 18.10 0 0.5840 6.348 86.1 2.0527 24 666
## 432 14.1 14.1 10.06230 0.0 18.10 0 0.5840 6.833 94.3 2.0882 24 666
## 433 16.1 16.1 6.44405 0.0 18.10 0 0.5840 6.425 74.8 2.2004 24 666
## 434 14.3 14.3 5.58107 0.0 18.10 0 0.7130 6.436 87.9 2.3158 24 666
## 435 11.7 11.7 13.91340 0.0 18.10 0 0.7130 6.208 95.0 2.2222 24 666
## 436 13.4 13.4 11.16040 0.0 18.10 0 0.7400 6.629 94.6 2.1247 24 666
## 437 9.6 9.6 14.42080 0.0 18.10 0 0.7400 6.461 93.3 2.0026 24 666
## 438 8.7 8.2 15.17720 0.0 18.10 0 0.7400 6.152 100.0 1.9142 24 666
## 439 8.4 8.4 13.67810 0.0 18.10 0 0.7400 5.935 87.9 1.8206 24 666
## 440 12.8 12.8 9.39063 0.0 18.10 0 0.7400 5.627 93.9 1.8172 24 666
## 441 10.5 10.5 22.05110 0.0 18.10 0 0.7400 5.818 92.4 1.8662 24 666
## 442 17.1 17.1 9.72418 0.0 18.10 0 0.7400 6.406 97.2 2.0651 24 666
## 443 18.4 14.8 5.66637 0.0 18.10 0 0.7400 6.219 100.0 2.0048 24 666
## 444 15.4 15.4 9.96654 0.0 18.10 0 0.7400 6.485 100.0 1.9784 24 666
## 445 10.8 10.8 12.80230 0.0 18.10 0 0.7400 5.854 96.6 1.8956 24 666
## 446 11.8 11.8 10.67180 0.0 18.10 0 0.7400 6.459 94.8 1.9879 24 666
## 447 14.9 14.9 6.28807 0.0 18.10 0 0.7400 6.341 96.4 2.0720 24 666
## 448 12.6 12.6 9.92485 0.0 18.10 0 0.7400 6.251 96.6 2.1980 24 666
## 449 14.1 14.1 9.32909 0.0 18.10 0 0.7130 6.185 98.7 2.2616 24 666
## 450 13.0 13.0 7.52601 0.0 18.10 0 0.7130 6.417 98.3 2.1850 24 666
## 451 13.4 13.4 6.71772 0.0 18.10 0 0.7130 6.749 92.6 2.3236 24 666
## 452 15.2 15.2 5.44114 0.0 18.10 0 0.7130 6.655 98.2 2.3552 24 666
## 453 16.1 16.1 5.09017 0.0 18.10 0 0.7130 6.297 91.8 2.3682 24 666
## 454 17.8 17.8 8.24809 0.0 18.10 0 0.7130 7.393 99.3 2.4527 24 666
## 455 14.9 14.4 9.51363 0.0 18.10 0 0.7130 6.728 94.1 2.4961 24 666
## 456 14.1 14.1 4.75237 0.0 18.10 0 0.7130 6.525 86.5 2.4358 24 666
## 457 12.7 12.7 4.66883 0.0 18.10 0 0.7130 5.976 87.9 2.5806 24 666
## 458 13.5 13.5 8.20058 0.0 18.10 0 0.7130 5.936 80.3 2.7792 24 666
## 459 14.9 14.9 7.75223 0.0 18.10 0 0.7130 6.301 83.7 2.7831 24 666
## 460 20.0 20.0 6.80117 0.0 18.10 0 0.7130 6.081 84.4 2.7175 24 666
## 461 16.4 16.4 4.81213 0.0 18.10 0 0.7130 6.701 90.0 2.5975 24 666
## 462 17.7 17.7 3.69311 0.0 18.10 0 0.7130 6.376 88.4 2.5671 24 666
## 463 19.5 19.5 6.65492 0.0 18.10 0 0.7130 6.317 83.0 2.7344 24 666
## 464 20.2 20.2 5.82115 0.0 18.10 0 0.7130 6.513 89.9 2.8016 24 666
## 465 21.4 21.4 7.83932 0.0 18.10 0 0.6550 6.209 65.4 2.9634 24 666
## 466 19.9 19.9 3.16360 0.0 18.10 0 0.6550 5.759 48.2 3.0665 24 666
## 467 19.0 19.0 3.77498 0.0 18.10 0 0.6550 5.952 84.7 2.8715 24 666
## 468 19.1 19.1 4.42228 0.0 18.10 0 0.5840 6.003 94.5 2.5403 24 666
## 469 19.1 19.1 15.57570 0.0 18.10 0 0.5800 5.926 71.0 2.9084 24 666
## 470 20.1 20.1 13.07510 0.0 18.10 0 0.5800 5.713 56.7 2.8237 24 666
## 471 19.9 19.9 4.34879 0.0 18.10 0 0.5800 6.167 84.0 3.0334 24 666
## 472 19.6 19.6 4.03841 0.0 18.10 0 0.5320 6.229 90.7 3.0993 24 666
## 473 23.2 23.2 3.56868 0.0 18.10 0 0.5800 6.437 75.0 2.8965 24 666
## 474 29.8 29.8 4.64689 0.0 18.10 0 0.6140 6.980 67.6 2.5329 24 666
## 475 13.8 13.8 8.05579 0.0 18.10 0 0.5840 5.427 95.4 2.4298 24 666
## 476 13.3 13.3 6.39312 0.0 18.10 0 0.5840 6.162 97.4 2.2060 24 666
## 477 16.7 16.7 4.87141 0.0 18.10 0 0.6140 6.484 93.6 2.3053 24 666
## 478 12.0 12.0 15.02340 0.0 18.10 0 0.6140 5.304 97.3 2.1007 24 666
## 479 14.6 14.6 10.23300 0.0 18.10 0 0.6140 6.185 96.7 2.1705 24 666
## 480 21.4 21.4 14.33370 0.0 18.10 0 0.6140 6.229 88.0 1.9512 24 666
## 481 23.0 23.0 5.82401 0.0 18.10 0 0.5320 6.242 64.7 3.4242 24 666
## 482 23.7 23.7 5.70818 0.0 18.10 0 0.5320 6.750 74.9 3.3317 24 666
## 483 25.0 25.0 5.73116 0.0 18.10 0 0.5320 7.061 77.0 3.4106 24 666
## 484 21.8 21.8 2.81838 0.0 18.10 0 0.5320 5.762 40.3 4.0983 24 666
## 485 20.6 20.6 2.37857 0.0 18.10 0 0.5830 5.871 41.9 3.7240 24 666
## 486 21.2 21.2 3.67367 0.0 18.10 0 0.5830 6.312 51.9 3.9917 24 666
## 487 19.1 19.1 5.69175 0.0 18.10 0 0.5830 6.114 79.8 3.5459 24 666
## 488 20.6 20.6 4.83567 0.0 18.10 0 0.5830 5.905 53.2 3.1523 24 666
## 489 15.2 15.2 0.15086 0.0 27.74 0 0.6090 5.454 92.7 1.8209 4 711
## 490 7.0 7.0 0.18337 0.0 27.74 0 0.6090 5.414 98.3 1.7554 4 711
## 491 8.1 8.1 0.20746 0.0 27.74 0 0.6090 5.093 98.0 1.8226 4 711
## 492 13.6 13.6 0.10574 0.0 27.74 0 0.6090 5.983 98.8 1.8681 4 711
## 493 20.1 20.1 0.11132 0.0 27.74 0 0.6090 5.983 83.5 2.1099 4 711
## 494 21.8 21.8 0.17331 0.0 9.69 0 0.5850 5.707 54.0 2.3817 6 391
## 495 24.5 24.5 0.27957 0.0 9.69 0 0.5850 5.926 42.6 2.3817 6 391
## 496 23.1 23.1 0.17899 0.0 9.69 0 0.5850 5.670 28.8 2.7986 6 391
## 497 19.7 19.7 0.28960 0.0 9.69 0 0.5850 5.390 72.9 2.7986 6 391
## 498 18.3 18.3 0.26838 0.0 9.69 0 0.5850 5.794 70.6 2.8927 6 391
## 499 21.2 21.2 0.23912 0.0 9.69 0 0.5850 6.019 65.3 2.4091 6 391
## 500 17.5 17.5 0.17783 0.0 9.69 0 0.5850 5.569 73.5 2.3999 6 391
## 501 16.8 16.8 0.22438 0.0 9.69 0 0.5850 6.027 79.7 2.4982 6 391
## 502 22.4 22.4 0.06263 0.0 11.93 0 0.5730 6.593 69.1 2.4786 1 273
## 503 20.6 20.6 0.04527 0.0 11.93 0 0.5730 6.120 76.7 2.2875 1 273
## 504 23.9 23.9 0.06076 0.0 11.93 0 0.5730 6.976 91.0 2.1675 1 273
## 505 22.0 22.0 0.10959 0.0 11.93 0 0.5730 6.794 89.3 2.3889 1 273
## 506 11.9 19.0 0.04741 0.0 11.93 0 0.5730 6.030 80.8 2.5050 1 273
## ptratio b lstat
## 1 15.3 396.90 4.98
## 2 17.8 396.90 9.14
## 3 17.8 392.83 4.03
## 4 18.7 394.63 2.94
## 5 18.7 396.90 5.33
## 6 18.7 394.12 5.21
## 7 15.2 395.60 12.43
## 8 15.2 396.90 19.15
## 9 15.2 386.63 29.93
## 10 15.2 386.71 17.10
## 11 15.2 392.52 20.45
## 12 15.2 396.90 13.27
## 13 15.2 390.50 15.71
## 14 21.0 396.90 8.26
## 15 21.0 380.02 10.26
## 16 21.0 395.62 8.47
## 17 21.0 386.85 6.58
## 18 21.0 386.75 14.67
## 19 21.0 288.99 11.69
## 20 21.0 390.95 11.28
## 21 21.0 376.57 21.02
## 22 21.0 392.53 13.83
## 23 21.0 396.90 18.72
## 24 21.0 394.54 19.88
## 25 21.0 394.33 16.30
## 26 21.0 303.42 16.51
## 27 21.0 376.88 14.81
## 28 21.0 306.38 17.28
## 29 21.0 387.94 12.80
## 30 21.0 380.23 11.98
## 31 21.0 360.17 22.60
## 32 21.0 376.73 13.04
## 33 21.0 232.60 27.71
## 34 21.0 358.77 18.35
## 35 21.0 248.31 20.34
## 36 19.2 396.90 9.68
## 37 19.2 377.56 11.41
## 38 19.2 396.90 8.77
## 39 19.2 393.43 10.13
## 40 18.3 395.63 4.32
## 41 18.3 395.62 1.98
## 42 17.9 385.41 4.84
## 43 17.9 383.37 5.81
## 44 17.9 394.46 7.44
## 45 17.9 389.39 9.55
## 46 17.9 396.90 10.21
## 47 17.9 396.90 14.15
## 48 17.9 392.74 18.80
## 49 17.9 396.90 30.81
## 50 17.9 396.90 16.20
## 51 16.8 395.56 13.45
## 52 16.8 393.97 9.43
## 53 16.8 396.90 5.28
## 54 16.8 396.90 8.43
## 55 21.1 396.90 14.80
## 56 17.9 395.93 4.81
## 57 17.3 396.90 5.77
## 58 15.1 392.90 3.95
## 59 19.7 390.68 6.86
## 60 19.7 396.90 9.22
## 61 19.7 395.11 13.15
## 62 19.7 378.08 14.44
## 63 19.7 396.90 6.73
## 64 19.7 395.58 9.50
## 65 18.6 393.24 8.05
## 66 16.1 396.90 4.67
## 67 16.1 396.90 10.24
## 68 18.9 396.21 8.10
## 69 18.9 396.90 13.09
## 70 18.9 396.90 8.79
## 71 19.2 383.73 6.72
## 72 19.2 376.94 9.88
## 73 19.2 390.91 5.52
## 74 19.2 377.17 7.54
## 75 18.7 394.92 6.78
## 76 18.7 383.23 8.94
## 77 18.7 373.66 11.97
## 78 18.7 386.96 10.27
## 79 18.7 386.40 12.34
## 80 18.7 396.06 9.10
## 81 19.0 396.90 5.29
## 82 19.0 395.63 7.22
## 83 19.0 396.90 6.72
## 84 19.0 390.64 7.51
## 85 18.5 396.90 9.62
## 86 18.5 392.30 6.53
## 87 18.5 395.99 12.86
## 88 18.5 395.15 8.44
## 89 17.8 396.90 5.50
## 90 17.8 396.06 5.70
## 91 17.8 392.18 8.81
## 92 17.8 393.55 8.20
## 93 18.2 395.01 8.16
## 94 18.2 396.33 6.21
## 95 18.2 396.90 10.59
## 96 18.0 357.98 6.65
## 97 18.0 391.83 11.34
## 98 18.0 396.90 4.21
## 99 18.0 393.53 3.57
## 100 18.0 396.90 6.19
## 101 20.9 394.76 9.42
## 102 20.9 395.58 7.67
## 103 20.9 70.80 10.63
## 104 20.9 394.47 13.44
## 105 20.9 392.69 12.33
## 106 20.9 394.05 16.47
## 107 20.9 395.67 18.66
## 108 20.9 387.69 14.09
## 109 20.9 395.24 12.27
## 110 20.9 391.23 15.55
## 111 20.9 393.49 13.00
## 112 17.8 395.59 10.16
## 113 17.8 394.95 16.21
## 114 17.8 396.90 17.09
## 115 17.8 388.74 10.45
## 116 17.8 344.91 15.76
## 117 17.8 393.30 12.04
## 118 17.8 394.51 10.30
## 119 17.8 338.63 15.37
## 120 17.8 391.50 13.61
## 121 19.1 389.15 14.37
## 122 19.1 377.67 14.27
## 123 19.1 378.09 17.93
## 124 19.1 370.31 25.41
## 125 19.1 379.38 17.58
## 126 19.1 385.02 14.81
## 127 19.1 359.29 27.26
## 128 21.2 392.11 17.19
## 129 21.2 396.90 15.39
## 130 21.2 396.90 18.34
## 131 21.2 395.04 12.60
## 132 21.2 396.90 12.26
## 133 21.2 385.76 11.12
## 134 21.2 388.69 15.03
## 135 21.2 262.76 17.31
## 136 21.2 394.67 16.96
## 137 21.2 378.25 16.90
## 138 21.2 394.08 14.59
## 139 21.2 392.04 21.32
## 140 21.2 396.90 18.46
## 141 21.2 388.08 24.16
## 142 21.2 396.90 34.41
## 143 14.7 396.90 26.82
## 144 14.7 396.90 26.42
## 145 14.7 396.90 29.29
## 146 14.7 172.91 27.80
## 147 14.7 169.27 16.65
## 148 14.7 391.71 29.53
## 149 14.7 356.99 28.32
## 150 14.7 351.85 21.45
## 151 14.7 372.80 14.10
## 152 14.7 341.60 13.28
## 153 14.7 343.28 12.12
## 154 14.7 261.95 15.79
## 155 14.7 321.02 15.12
## 156 14.7 88.01 15.02
## 157 14.7 88.63 16.14
## 158 14.7 363.43 4.59
## 159 14.7 353.89 6.43
## 160 14.7 364.31 7.39
## 161 14.7 338.92 5.50
## 162 14.7 374.43 1.73
## 163 14.7 389.61 1.92
## 164 14.7 388.45 3.32
## 165 14.7 395.11 11.64
## 166 14.7 240.16 9.81
## 167 14.7 369.30 3.70
## 168 14.7 227.61 12.14
## 169 14.7 297.09 11.10
## 170 14.7 330.04 11.32
## 171 14.7 292.29 14.43
## 172 14.7 348.13 12.03
## 173 16.6 396.90 14.69
## 174 16.6 395.50 9.04
## 175 16.6 393.23 9.64
## 176 16.6 390.96 5.33
## 177 16.6 393.23 10.11
## 178 16.6 395.60 6.29
## 179 16.6 391.27 6.92
## 180 17.8 396.90 5.04
## 181 17.8 395.56 7.56
## 182 17.8 396.90 9.45
## 183 17.8 394.12 4.82
## 184 17.8 396.90 5.68
## 185 17.8 391.00 13.98
## 186 17.8 387.11 13.15
## 187 17.8 392.63 4.45
## 188 15.2 393.87 6.68
## 189 15.2 382.84 4.56
## 190 15.2 396.90 5.39
## 191 15.2 377.68 5.10
## 192 15.2 389.71 4.69
## 193 15.2 390.49 2.87
## 194 15.6 393.37 5.03
## 195 15.6 376.70 4.38
## 196 14.4 394.23 2.97
## 197 12.6 396.90 4.08
## 198 12.6 354.31 8.61
## 199 12.6 392.20 6.62
## 200 17.0 396.90 4.56
## 201 17.0 384.30 4.45
## 202 14.7 393.77 7.43
## 203 14.7 395.38 3.11
## 204 14.7 392.78 3.81
## 205 14.7 390.55 2.88
## 206 18.6 396.90 10.87
## 207 18.6 394.87 10.97
## 208 18.6 389.43 18.06
## 209 18.6 381.32 14.66
## 210 18.6 396.90 23.09
## 211 18.6 393.25 17.27
## 212 18.6 395.24 23.98
## 213 18.6 390.94 16.03
## 214 18.6 385.81 9.38
## 215 18.6 348.93 29.55
## 216 18.6 393.63 9.47
## 217 16.4 392.80 13.51
## 218 16.4 392.78 9.69
## 219 16.4 396.90 17.92
## 220 16.4 393.74 10.50
## 221 17.4 391.70 9.71
## 222 17.4 395.24 21.46
## 223 17.4 390.39 9.93
## 224 17.4 396.90 7.60
## 225 17.4 385.05 4.14
## 226 17.4 382.00 4.63
## 227 17.4 387.38 3.13
## 228 17.4 372.08 6.36
## 229 17.4 377.51 3.92
## 230 17.4 380.34 3.76
## 231 17.4 378.35 11.65
## 232 17.4 376.14 5.25
## 233 17.4 385.91 2.47
## 234 17.4 378.95 3.95
## 235 17.4 360.20 8.05
## 236 17.4 376.75 10.88
## 237 17.4 388.45 9.54
## 238 17.4 390.07 4.73
## 239 16.6 379.41 6.36
## 240 16.6 383.78 7.37
## 241 16.6 391.25 11.38
## 242 16.6 394.62 12.40
## 243 16.6 372.75 11.22
## 244 16.6 374.71 5.19
## 245 19.1 372.49 12.50
## 246 19.1 389.13 18.46
## 247 19.1 390.18 9.16
## 248 19.1 376.14 10.15
## 249 19.1 374.71 9.52
## 250 19.1 393.74 6.56
## 251 19.1 396.28 5.90
## 252 19.1 377.07 3.59
## 253 19.1 386.09 3.53
## 254 19.1 396.90 3.54
## 255 16.4 392.89 6.57
## 256 16.4 395.18 9.25
## 257 15.9 386.34 3.11
## 258 13.0 389.70 5.12
## 259 13.0 383.29 7.79
## 260 13.0 391.93 6.90
## 261 13.0 392.80 9.59
## 262 13.0 388.37 7.26
## 263 13.0 386.86 5.91
## 264 13.0 393.42 11.25
## 265 13.0 387.89 8.10
## 266 13.0 392.40 10.45
## 267 13.0 384.07 14.79
## 268 13.0 384.54 7.44
## 269 13.0 390.30 3.16
## 270 18.6 391.34 13.65
## 271 18.6 388.65 13.00
## 272 18.6 396.90 6.59
## 273 18.6 394.96 7.73
## 274 18.6 390.77 6.58
## 275 17.6 396.90 3.53
## 276 17.6 396.90 2.98
## 277 17.6 389.25 6.05
## 278 17.6 393.45 4.16
## 279 17.6 396.90 7.19
## 280 14.9 396.90 4.85
## 281 14.9 387.31 3.76
## 282 14.9 392.23 4.59
## 283 14.9 377.07 3.01
## 284 13.6 395.52 3.16
## 285 15.3 394.72 7.85
## 286 15.3 394.72 8.23
## 287 18.2 341.60 12.93
## 288 16.6 396.90 7.14
## 289 16.6 396.90 7.60
## 290 16.6 371.72 9.51
## 291 19.2 396.90 3.33
## 292 19.2 396.90 3.56
## 293 19.2 396.90 4.70
## 294 16.0 396.90 8.58
## 295 16.0 396.90 10.40
## 296 16.0 396.90 6.27
## 297 16.0 392.85 7.39
## 298 16.0 396.90 15.84
## 299 14.8 368.24 4.97
## 300 14.8 371.58 4.74
## 301 14.8 390.86 6.07
## 302 16.1 395.75 9.50
## 303 16.1 383.61 8.67
## 304 16.1 390.43 4.86
## 305 18.4 393.68 6.93
## 306 18.4 393.36 8.93
## 307 18.4 396.90 6.47
## 308 18.4 396.90 7.53
## 309 18.4 396.90 4.54
## 310 18.4 396.24 9.97
## 311 18.4 350.45 12.64
## 312 18.4 396.90 5.98
## 313 18.4 396.30 11.72
## 314 18.4 393.39 7.90
## 315 18.4 395.69 9.28
## 316 18.4 396.42 11.50
## 317 18.4 390.70 18.33
## 318 18.4 396.90 15.94
## 319 18.4 395.21 10.36
## 320 18.4 396.23 12.73
## 321 19.6 396.90 7.20
## 322 19.6 396.90 6.87
## 323 19.6 396.90 7.70
## 324 19.6 391.13 11.74
## 325 19.6 396.90 6.12
## 326 19.6 393.68 5.08
## 327 19.6 396.90 6.15
## 328 19.6 396.90 12.79
## 329 16.9 382.44 9.97
## 330 16.9 375.21 7.34
## 331 16.9 368.57 9.09
## 332 16.9 394.02 12.43
## 333 16.9 362.25 7.83
## 334 20.2 389.71 5.68
## 335 20.2 389.40 6.75
## 336 20.2 396.90 8.01
## 337 20.2 396.90 9.80
## 338 20.2 394.81 10.56
## 339 20.2 396.14 8.51
## 340 20.2 396.90 9.74
## 341 20.2 396.90 9.29
## 342 15.5 394.74 5.49
## 343 15.9 389.96 8.65
## 344 17.6 396.90 7.18
## 345 17.6 387.97 4.61
## 346 18.8 385.64 10.53
## 347 18.8 364.61 12.67
## 348 17.9 392.43 6.36
## 349 17.0 390.94 5.99
## 350 19.7 389.85 5.89
## 351 19.7 396.90 5.98
## 352 18.3 370.78 5.49
## 353 18.3 392.33 7.79
## 354 17.0 384.46 4.50
## 355 22.0 382.80 8.05
## 356 22.0 376.04 5.57
## 357 20.2 377.73 17.60
## 358 20.2 391.34 13.27
## 359 20.2 395.43 11.48
## 360 20.2 390.74 12.67
## 361 20.2 374.56 7.79
## 362 20.2 350.65 14.19
## 363 20.2 380.79 10.19
## 364 20.2 353.04 14.64
## 365 20.2 354.55 5.29
## 366 20.2 354.70 7.12
## 367 20.2 316.03 14.00
## 368 20.2 131.42 13.33
## 369 20.2 375.52 3.26
## 370 20.2 375.33 3.73
## 371 20.2 392.05 2.96
## 372 20.2 366.15 9.53
## 373 20.2 347.88 8.88
## 374 20.2 396.90 34.77
## 375 20.2 396.90 37.97
## 376 20.2 396.90 13.44
## 377 20.2 363.02 23.24
## 378 20.2 396.90 21.24
## 379 20.2 396.90 23.69
## 380 20.2 393.74 21.78
## 381 20.2 396.90 17.21
## 382 20.2 396.90 21.08
## 383 20.2 396.90 23.60
## 384 20.2 396.90 24.56
## 385 20.2 285.83 30.63
## 386 20.2 396.90 30.81
## 387 20.2 396.90 28.28
## 388 20.2 396.90 31.99
## 389 20.2 372.92 30.62
## 390 20.2 396.90 20.85
## 391 20.2 394.43 17.11
## 392 20.2 378.38 18.76
## 393 20.2 396.90 25.68
## 394 20.2 396.90 15.17
## 395 20.2 396.90 16.35
## 396 20.2 391.98 17.12
## 397 20.2 396.90 19.37
## 398 20.2 393.10 19.92
## 399 20.2 396.90 30.59
## 400 20.2 338.16 29.97
## 401 20.2 396.90 26.77
## 402 20.2 396.90 20.32
## 403 20.2 376.11 20.31
## 404 20.2 396.90 19.77
## 405 20.2 329.46 27.38
## 406 20.2 384.97 22.98
## 407 20.2 370.22 23.34
## 408 20.2 332.09 12.13
## 409 20.2 314.64 26.40
## 410 20.2 179.36 19.78
## 411 20.2 2.60 10.11
## 412 20.2 35.05 21.22
## 413 20.2 28.79 34.37
## 414 20.2 210.97 20.08
## 415 20.2 88.27 36.98
## 416 20.2 27.25 29.05
## 417 20.2 21.57 25.79
## 418 20.2 127.36 26.64
## 419 20.2 16.45 20.62
## 420 20.2 48.45 22.74
## 421 20.2 318.75 15.02
## 422 20.2 319.98 15.70
## 423 20.2 291.55 14.10
## 424 20.2 2.52 23.29
## 425 20.2 3.65 17.16
## 426 20.2 7.68 24.39
## 427 20.2 24.65 15.69
## 428 20.2 18.82 14.52
## 429 20.2 96.73 21.52
## 430 20.2 60.72 24.08
## 431 20.2 83.45 17.64
## 432 20.2 81.33 19.69
## 433 20.2 97.95 12.03
## 434 20.2 100.19 16.22
## 435 20.2 100.63 15.17
## 436 20.2 109.85 23.27
## 437 20.2 27.49 18.05
## 438 20.2 9.32 26.45
## 439 20.2 68.95 34.02
## 440 20.2 396.90 22.88
## 441 20.2 391.45 22.11
## 442 20.2 385.96 19.52
## 443 20.2 395.69 16.59
## 444 20.2 386.73 18.85
## 445 20.2 240.52 23.79
## 446 20.2 43.06 23.98
## 447 20.2 318.01 17.79
## 448 20.2 388.52 16.44
## 449 20.2 396.90 18.13
## 450 20.2 304.21 19.31
## 451 20.2 0.32 17.44
## 452 20.2 355.29 17.73
## 453 20.2 385.09 17.27
## 454 20.2 375.87 16.74
## 455 20.2 6.68 18.71
## 456 20.2 50.92 18.13
## 457 20.2 10.48 19.01
## 458 20.2 3.50 16.94
## 459 20.2 272.21 16.23
## 460 20.2 396.90 14.70
## 461 20.2 255.23 16.42
## 462 20.2 391.43 14.65
## 463 20.2 396.90 13.99
## 464 20.2 393.82 10.29
## 465 20.2 396.90 13.22
## 466 20.2 334.40 14.13
## 467 20.2 22.01 17.15
## 468 20.2 331.29 21.32
## 469 20.2 368.74 18.13
## 470 20.2 396.90 14.76
## 471 20.2 396.90 16.29
## 472 20.2 395.33 12.87
## 473 20.2 393.37 14.36
## 474 20.2 374.68 11.66
## 475 20.2 352.58 18.14
## 476 20.2 302.76 24.10
## 477 20.2 396.21 18.68
## 478 20.2 349.48 24.91
## 479 20.2 379.70 18.03
## 480 20.2 383.32 13.11
## 481 20.2 396.90 10.74
## 482 20.2 393.07 7.74
## 483 20.2 395.28 7.01
## 484 20.2 392.92 10.42
## 485 20.2 370.73 13.34
## 486 20.2 388.62 10.58
## 487 20.2 392.68 14.98
## 488 20.2 388.22 11.45
## 489 20.1 395.09 18.06
## 490 20.1 344.05 23.97
## 491 20.1 318.43 29.68
## 492 20.1 390.11 18.07
## 493 20.1 396.90 13.35
## 494 19.2 396.90 12.01
## 495 19.2 396.90 13.59
## 496 19.2 393.29 17.60
## 497 19.2 396.90 21.14
## 498 19.2 396.90 14.10
## 499 19.2 396.90 12.92
## 500 19.2 395.77 15.10
## 501 19.2 396.90 14.33
## 502 21.0 391.99 9.67
## 503 21.0 396.90 9.08
## 504 21.0 396.90 5.64
## 505 21.0 393.45 6.48
## 506 21.0 396.90 7.88Exploratory data analysis
#Identify missing values
missing_values<-is.na(bd)
missing_values## medv cmedv crim zn indus chas nox rm age dis rad tax
## [1,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
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## [100,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
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## [506,] FALSE FALSE FALSE#Display data set structure
str(bd)## 'data.frame': 506 obs. of 15 variables:
## $ medv : num 24 21.6 34.7 33.4 36.2 28.7 22.9 27.1 16.5 18.9 ...
## $ cmedv : num 24 21.6 34.7 33.4 36.2 28.7 22.9 22.1 16.5 18.9 ...
## $ crim : num 0.00632 0.02731 0.02729 0.03237 0.06905 ...
## $ zn : num 18 0 0 0 0 0 12.5 12.5 12.5 12.5 ...
## $ indus : num 2.31 7.07 7.07 2.18 2.18 2.18 7.87 7.87 7.87 7.87 ...
## $ chas : int 0 0 0 0 0 0 0 0 0 0 ...
## $ nox : num 0.538 0.469 0.469 0.458 0.458 0.458 0.524 0.524 0.524 0.524 ...
## $ rm : num 6.58 6.42 7.18 7 7.15 ...
## $ age : num 65.2 78.9 61.1 45.8 54.2 58.7 66.6 96.1 100 85.9 ...
## $ dis : num 4.09 4.97 4.97 6.06 6.06 ...
## $ rad : int 1 2 2 3 3 3 5 5 5 5 ...
## $ tax : int 296 242 242 222 222 222 311 311 311 311 ...
## $ ptratio: num 15.3 17.8 17.8 18.7 18.7 18.7 15.2 15.2 15.2 15.2 ...
## $ b : num 397 397 393 395 397 ...
## $ lstat : num 4.98 9.14 4.03 2.94 5.33 ...# Include descriptive statistics (mean, median, standard deviation, minimum, maximum)
summary(bd)## medv cmedv crim zn
## Min. : 5.00 Min. : 5.00 Min. : 0.00632 Min. : 0.00
## 1st Qu.:17.02 1st Qu.:17.02 1st Qu.: 0.08205 1st Qu.: 0.00
## Median :21.20 Median :21.20 Median : 0.25651 Median : 0.00
## Mean :22.53 Mean :22.53 Mean : 3.61352 Mean : 11.36
## 3rd Qu.:25.00 3rd Qu.:25.00 3rd Qu.: 3.67708 3rd Qu.: 12.50
## Max. :50.00 Max. :50.00 Max. :88.97620 Max. :100.00
## indus chas nox rm
## Min. : 0.46 Min. :0.00000 Min. :0.3850 Min. :3.561
## 1st Qu.: 5.19 1st Qu.:0.00000 1st Qu.:0.4490 1st Qu.:5.886
## Median : 9.69 Median :0.00000 Median :0.5380 Median :6.208
## Mean :11.14 Mean :0.06917 Mean :0.5547 Mean :6.285
## 3rd Qu.:18.10 3rd Qu.:0.00000 3rd Qu.:0.6240 3rd Qu.:6.623
## Max. :27.74 Max. :1.00000 Max. :0.8710 Max. :8.780
## age dis rad tax
## Min. : 2.90 Min. : 1.130 Min. : 1.000 Min. :187.0
## 1st Qu.: 45.02 1st Qu.: 2.100 1st Qu.: 4.000 1st Qu.:279.0
## Median : 77.50 Median : 3.207 Median : 5.000 Median :330.0
## Mean : 68.57 Mean : 3.795 Mean : 9.549 Mean :408.2
## 3rd Qu.: 94.08 3rd Qu.: 5.188 3rd Qu.:24.000 3rd Qu.:666.0
## Max. :100.00 Max. :12.127 Max. :24.000 Max. :711.0
## ptratio b lstat
## Min. :12.60 Min. : 0.32 Min. : 1.73
## 1st Qu.:17.40 1st Qu.:375.38 1st Qu.: 6.95
## Median :19.05 Median :391.44 Median :11.36
## Mean :18.46 Mean :356.67 Mean :12.65
## 3rd Qu.:20.20 3rd Qu.:396.23 3rd Qu.:16.95
## Max. :22.00 Max. :396.90 Max. :37.97# Transform variables if requiredstr(bd)## 'data.frame': 506 obs. of 15 variables:
## $ medv : num 24 21.6 34.7 33.4 36.2 28.7 22.9 27.1 16.5 18.9 ...
## $ cmedv : num 24 21.6 34.7 33.4 36.2 28.7 22.9 22.1 16.5 18.9 ...
## $ crim : num 0.00632 0.02731 0.02729 0.03237 0.06905 ...
## $ zn : num 18 0 0 0 0 0 12.5 12.5 12.5 12.5 ...
## $ indus : num 2.31 7.07 7.07 2.18 2.18 2.18 7.87 7.87 7.87 7.87 ...
## $ chas : int 0 0 0 0 0 0 0 0 0 0 ...
## $ nox : num 0.538 0.469 0.469 0.458 0.458 0.458 0.524 0.524 0.524 0.524 ...
## $ rm : num 6.58 6.42 7.18 7 7.15 ...
## $ age : num 65.2 78.9 61.1 45.8 54.2 58.7 66.6 96.1 100 85.9 ...
## $ dis : num 4.09 4.97 4.97 6.06 6.06 ...
## $ rad : int 1 2 2 3 3 3 5 5 5 5 ...
## $ tax : int 296 242 242 222 222 222 311 311 311 311 ...
## $ ptratio: num 15.3 17.8 17.8 18.7 18.7 18.7 15.2 15.2 15.2 15.2 ...
## $ b : num 397 397 393 395 397 ...
## $ lstat : num 4.98 9.14 4.03 2.94 5.33 ...Data Visualization
# Build at least 2 pair-wised graphs between the dependent variable and independent variables
# Display a histogram of dependent variable
# Display a correlation plotHypotheses Statement
# Briefly describe at least 3 hypotheses which you would like to explore through regression analysisRegression Analysis
# Estimate 3 different linear regression models by using:
#multiple linear regression
# polynomial – multiple linear regression
# lasso regression model
# ridge regression model
# Show the level of accuracy for each linear regression model
# Select the regression model that better fits the data
# Interpret the main results of the selected regression modelResults Discussion (how linear regression analysis can contribute to improve predictive analytics)
# With linear regression analysis we can model the relationship between a dependent variable(y) and independent variables (x) by adjusting a linear equation to the observed data.
# When a linear regression model is built and validated, it can be helpful to make predictions. Given new values of the independent variables, the model can provide predictions of the dependent variable. This technique can help us in the forecasting of sales, predicting customer behavior, or estimating housing prices. It uses linear relationships between a dependent variable (target) and one or more independent variables (predictors) to predict the future of the target.
# An advantage of using linear regression for predictive analytics is that it is flexible and adaptable. You can use linear regression to model different types of relationships, such as linear, polynomial, logarithmic, exponential, or inverse.
#(IBM 2022)
# IBM Documentation. (2022, November 3). Ibm.com. https://www.ibm.com/docs/en/db2-warehouse?topic=procedures-linear-regression#:~:text=Linear%20regression%20is%20the%20most,the%20future%20of%20the%20target
# What are the advantages and disadvantages of using linear regression for predictive analytics? (2023). Linkedin.com. https://www.linkedin.com/advice/1/what-advantages-disadvantages-using-linear-1e#:~:text=It%20is%20a%20statistical%20technique,expectancy%20based%20on%20health%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