# Load the MASS package
library(MASS)

# Load the Boston Housing dataset
data(Boston)
Boston
##         crim    zn indus chas    nox    rm   age     dis rad tax ptratio  black
## 1    0.00632  18.0  2.31    0 0.5380 6.575  65.2  4.0900   1 296    15.3 396.90
## 2    0.02731   0.0  7.07    0 0.4690 6.421  78.9  4.9671   2 242    17.8 396.90
## 3    0.02729   0.0  7.07    0 0.4690 7.185  61.1  4.9671   2 242    17.8 392.83
## 4    0.03237   0.0  2.18    0 0.4580 6.998  45.8  6.0622   3 222    18.7 394.63
## 5    0.06905   0.0  2.18    0 0.4580 7.147  54.2  6.0622   3 222    18.7 396.90
## 6    0.02985   0.0  2.18    0 0.4580 6.430  58.7  6.0622   3 222    18.7 394.12
## 7    0.08829  12.5  7.87    0 0.5240 6.012  66.6  5.5605   5 311    15.2 395.60
## 8    0.14455  12.5  7.87    0 0.5240 6.172  96.1  5.9505   5 311    15.2 396.90
## 9    0.21124  12.5  7.87    0 0.5240 5.631 100.0  6.0821   5 311    15.2 386.63
## 10   0.17004  12.5  7.87    0 0.5240 6.004  85.9  6.5921   5 311    15.2 386.71
## 11   0.22489  12.5  7.87    0 0.5240 6.377  94.3  6.3467   5 311    15.2 392.52
## 12   0.11747  12.5  7.87    0 0.5240 6.009  82.9  6.2267   5 311    15.2 396.90
## 13   0.09378  12.5  7.87    0 0.5240 5.889  39.0  5.4509   5 311    15.2 390.50
## 14   0.62976   0.0  8.14    0 0.5380 5.949  61.8  4.7075   4 307    21.0 396.90
## 15   0.63796   0.0  8.14    0 0.5380 6.096  84.5  4.4619   4 307    21.0 380.02
## 16   0.62739   0.0  8.14    0 0.5380 5.834  56.5  4.4986   4 307    21.0 395.62
## 17   1.05393   0.0  8.14    0 0.5380 5.935  29.3  4.4986   4 307    21.0 386.85
## 18   0.78420   0.0  8.14    0 0.5380 5.990  81.7  4.2579   4 307    21.0 386.75
## 19   0.80271   0.0  8.14    0 0.5380 5.456  36.6  3.7965   4 307    21.0 288.99
## 20   0.72580   0.0  8.14    0 0.5380 5.727  69.5  3.7965   4 307    21.0 390.95
## 21   1.25179   0.0  8.14    0 0.5380 5.570  98.1  3.7979   4 307    21.0 376.57
## 22   0.85204   0.0  8.14    0 0.5380 5.965  89.2  4.0123   4 307    21.0 392.53
## 23   1.23247   0.0  8.14    0 0.5380 6.142  91.7  3.9769   4 307    21.0 396.90
## 24   0.98843   0.0  8.14    0 0.5380 5.813 100.0  4.0952   4 307    21.0 394.54
## 25   0.75026   0.0  8.14    0 0.5380 5.924  94.1  4.3996   4 307    21.0 394.33
## 26   0.84054   0.0  8.14    0 0.5380 5.599  85.7  4.4546   4 307    21.0 303.42
## 27   0.67191   0.0  8.14    0 0.5380 5.813  90.3  4.6820   4 307    21.0 376.88
## 28   0.95577   0.0  8.14    0 0.5380 6.047  88.8  4.4534   4 307    21.0 306.38
## 29   0.77299   0.0  8.14    0 0.5380 6.495  94.4  4.4547   4 307    21.0 387.94
## 30   1.00245   0.0  8.14    0 0.5380 6.674  87.3  4.2390   4 307    21.0 380.23
## 31   1.13081   0.0  8.14    0 0.5380 5.713  94.1  4.2330   4 307    21.0 360.17
## 32   1.35472   0.0  8.14    0 0.5380 6.072 100.0  4.1750   4 307    21.0 376.73
## 33   1.38799   0.0  8.14    0 0.5380 5.950  82.0  3.9900   4 307    21.0 232.60
## 34   1.15172   0.0  8.14    0 0.5380 5.701  95.0  3.7872   4 307    21.0 358.77
## 35   1.61282   0.0  8.14    0 0.5380 6.096  96.9  3.7598   4 307    21.0 248.31
## 36   0.06417   0.0  5.96    0 0.4990 5.933  68.2  3.3603   5 279    19.2 396.90
## 37   0.09744   0.0  5.96    0 0.4990 5.841  61.4  3.3779   5 279    19.2 377.56
## 38   0.08014   0.0  5.96    0 0.4990 5.850  41.5  3.9342   5 279    19.2 396.90
## 39   0.17505   0.0  5.96    0 0.4990 5.966  30.2  3.8473   5 279    19.2 393.43
## 40   0.02763  75.0  2.95    0 0.4280 6.595  21.8  5.4011   3 252    18.3 395.63
## 41   0.03359  75.0  2.95    0 0.4280 7.024  15.8  5.4011   3 252    18.3 395.62
## 42   0.12744   0.0  6.91    0 0.4480 6.770   2.9  5.7209   3 233    17.9 385.41
## 43   0.14150   0.0  6.91    0 0.4480 6.169   6.6  5.7209   3 233    17.9 383.37
## 44   0.15936   0.0  6.91    0 0.4480 6.211   6.5  5.7209   3 233    17.9 394.46
## 45   0.12269   0.0  6.91    0 0.4480 6.069  40.0  5.7209   3 233    17.9 389.39
## 46   0.17142   0.0  6.91    0 0.4480 5.682  33.8  5.1004   3 233    17.9 396.90
## 47   0.18836   0.0  6.91    0 0.4480 5.786  33.3  5.1004   3 233    17.9 396.90
## 48   0.22927   0.0  6.91    0 0.4480 6.030  85.5  5.6894   3 233    17.9 392.74
## 49   0.25387   0.0  6.91    0 0.4480 5.399  95.3  5.8700   3 233    17.9 396.90
## 50   0.21977   0.0  6.91    0 0.4480 5.602  62.0  6.0877   3 233    17.9 396.90
## 51   0.08873  21.0  5.64    0 0.4390 5.963  45.7  6.8147   4 243    16.8 395.56
## 52   0.04337  21.0  5.64    0 0.4390 6.115  63.0  6.8147   4 243    16.8 393.97
## 53   0.05360  21.0  5.64    0 0.4390 6.511  21.1  6.8147   4 243    16.8 396.90
## 54   0.04981  21.0  5.64    0 0.4390 5.998  21.4  6.8147   4 243    16.8 396.90
## 55   0.01360  75.0  4.00    0 0.4100 5.888  47.6  7.3197   3 469    21.1 396.90
## 56   0.01311  90.0  1.22    0 0.4030 7.249  21.9  8.6966   5 226    17.9 395.93
## 57   0.02055  85.0  0.74    0 0.4100 6.383  35.7  9.1876   2 313    17.3 396.90
## 58   0.01432 100.0  1.32    0 0.4110 6.816  40.5  8.3248   5 256    15.1 392.90
## 59   0.15445  25.0  5.13    0 0.4530 6.145  29.2  7.8148   8 284    19.7 390.68
## 60   0.10328  25.0  5.13    0 0.4530 5.927  47.2  6.9320   8 284    19.7 396.90
## 61   0.14932  25.0  5.13    0 0.4530 5.741  66.2  7.2254   8 284    19.7 395.11
## 62   0.17171  25.0  5.13    0 0.4530 5.966  93.4  6.8185   8 284    19.7 378.08
## 63   0.11027  25.0  5.13    0 0.4530 6.456  67.8  7.2255   8 284    19.7 396.90
## 64   0.12650  25.0  5.13    0 0.4530 6.762  43.4  7.9809   8 284    19.7 395.58
## 65   0.01951  17.5  1.38    0 0.4161 7.104  59.5  9.2229   3 216    18.6 393.24
## 66   0.03584  80.0  3.37    0 0.3980 6.290  17.8  6.6115   4 337    16.1 396.90
## 67   0.04379  80.0  3.37    0 0.3980 5.787  31.1  6.6115   4 337    16.1 396.90
## 68   0.05789  12.5  6.07    0 0.4090 5.878  21.4  6.4980   4 345    18.9 396.21
## 69   0.13554  12.5  6.07    0 0.4090 5.594  36.8  6.4980   4 345    18.9 396.90
## 70   0.12816  12.5  6.07    0 0.4090 5.885  33.0  6.4980   4 345    18.9 396.90
## 71   0.08826   0.0 10.81    0 0.4130 6.417   6.6  5.2873   4 305    19.2 383.73
## 72   0.15876   0.0 10.81    0 0.4130 5.961  17.5  5.2873   4 305    19.2 376.94
## 73   0.09164   0.0 10.81    0 0.4130 6.065   7.8  5.2873   4 305    19.2 390.91
## 74   0.19539   0.0 10.81    0 0.4130 6.245   6.2  5.2873   4 305    19.2 377.17
## 75   0.07896   0.0 12.83    0 0.4370 6.273   6.0  4.2515   5 398    18.7 394.92
## 76   0.09512   0.0 12.83    0 0.4370 6.286  45.0  4.5026   5 398    18.7 383.23
## 77   0.10153   0.0 12.83    0 0.4370 6.279  74.5  4.0522   5 398    18.7 373.66
## 78   0.08707   0.0 12.83    0 0.4370 6.140  45.8  4.0905   5 398    18.7 386.96
## 79   0.05646   0.0 12.83    0 0.4370 6.232  53.7  5.0141   5 398    18.7 386.40
## 80   0.08387   0.0 12.83    0 0.4370 5.874  36.6  4.5026   5 398    18.7 396.06
## 81   0.04113  25.0  4.86    0 0.4260 6.727  33.5  5.4007   4 281    19.0 396.90
## 82   0.04462  25.0  4.86    0 0.4260 6.619  70.4  5.4007   4 281    19.0 395.63
## 83   0.03659  25.0  4.86    0 0.4260 6.302  32.2  5.4007   4 281    19.0 396.90
## 84   0.03551  25.0  4.86    0 0.4260 6.167  46.7  5.4007   4 281    19.0 390.64
## 85   0.05059   0.0  4.49    0 0.4490 6.389  48.0  4.7794   3 247    18.5 396.90
## 86   0.05735   0.0  4.49    0 0.4490 6.630  56.1  4.4377   3 247    18.5 392.30
## 87   0.05188   0.0  4.49    0 0.4490 6.015  45.1  4.4272   3 247    18.5 395.99
## 88   0.07151   0.0  4.49    0 0.4490 6.121  56.8  3.7476   3 247    18.5 395.15
## 89   0.05660   0.0  3.41    0 0.4890 7.007  86.3  3.4217   2 270    17.8 396.90
## 90   0.05302   0.0  3.41    0 0.4890 7.079  63.1  3.4145   2 270    17.8 396.06
## 91   0.04684   0.0  3.41    0 0.4890 6.417  66.1  3.0923   2 270    17.8 392.18
## 92   0.03932   0.0  3.41    0 0.4890 6.405  73.9  3.0921   2 270    17.8 393.55
## 93   0.04203  28.0 15.04    0 0.4640 6.442  53.6  3.6659   4 270    18.2 395.01
## 94   0.02875  28.0 15.04    0 0.4640 6.211  28.9  3.6659   4 270    18.2 396.33
## 95   0.04294  28.0 15.04    0 0.4640 6.249  77.3  3.6150   4 270    18.2 396.90
## 96   0.12204   0.0  2.89    0 0.4450 6.625  57.8  3.4952   2 276    18.0 357.98
## 97   0.11504   0.0  2.89    0 0.4450 6.163  69.6  3.4952   2 276    18.0 391.83
## 98   0.12083   0.0  2.89    0 0.4450 8.069  76.0  3.4952   2 276    18.0 396.90
## 99   0.08187   0.0  2.89    0 0.4450 7.820  36.9  3.4952   2 276    18.0 393.53
## 100  0.06860   0.0  2.89    0 0.4450 7.416  62.5  3.4952   2 276    18.0 396.90
## 101  0.14866   0.0  8.56    0 0.5200 6.727  79.9  2.7778   5 384    20.9 394.76
## 102  0.11432   0.0  8.56    0 0.5200 6.781  71.3  2.8561   5 384    20.9 395.58
## 103  0.22876   0.0  8.56    0 0.5200 6.405  85.4  2.7147   5 384    20.9  70.80
## 104  0.21161   0.0  8.56    0 0.5200 6.137  87.4  2.7147   5 384    20.9 394.47
## 105  0.13960   0.0  8.56    0 0.5200 6.167  90.0  2.4210   5 384    20.9 392.69
## 106  0.13262   0.0  8.56    0 0.5200 5.851  96.7  2.1069   5 384    20.9 394.05
## 107  0.17120   0.0  8.56    0 0.5200 5.836  91.9  2.2110   5 384    20.9 395.67
## 108  0.13117   0.0  8.56    0 0.5200 6.127  85.2  2.1224   5 384    20.9 387.69
## 109  0.12802   0.0  8.56    0 0.5200 6.474  97.1  2.4329   5 384    20.9 395.24
## 110  0.26363   0.0  8.56    0 0.5200 6.229  91.2  2.5451   5 384    20.9 391.23
## 111  0.10793   0.0  8.56    0 0.5200 6.195  54.4  2.7778   5 384    20.9 393.49
## 112  0.10084   0.0 10.01    0 0.5470 6.715  81.6  2.6775   6 432    17.8 395.59
## 113  0.12329   0.0 10.01    0 0.5470 5.913  92.9  2.3534   6 432    17.8 394.95
## 114  0.22212   0.0 10.01    0 0.5470 6.092  95.4  2.5480   6 432    17.8 396.90
## 115  0.14231   0.0 10.01    0 0.5470 6.254  84.2  2.2565   6 432    17.8 388.74
## 116  0.17134   0.0 10.01    0 0.5470 5.928  88.2  2.4631   6 432    17.8 344.91
## 117  0.13158   0.0 10.01    0 0.5470 6.176  72.5  2.7301   6 432    17.8 393.30
## 118  0.15098   0.0 10.01    0 0.5470 6.021  82.6  2.7474   6 432    17.8 394.51
## 119  0.13058   0.0 10.01    0 0.5470 5.872  73.1  2.4775   6 432    17.8 338.63
## 120  0.14476   0.0 10.01    0 0.5470 5.731  65.2  2.7592   6 432    17.8 391.50
## 121  0.06899   0.0 25.65    0 0.5810 5.870  69.7  2.2577   2 188    19.1 389.15
## 122  0.07165   0.0 25.65    0 0.5810 6.004  84.1  2.1974   2 188    19.1 377.67
## 123  0.09299   0.0 25.65    0 0.5810 5.961  92.9  2.0869   2 188    19.1 378.09
## 124  0.15038   0.0 25.65    0 0.5810 5.856  97.0  1.9444   2 188    19.1 370.31
## 125  0.09849   0.0 25.65    0 0.5810 5.879  95.8  2.0063   2 188    19.1 379.38
## 126  0.16902   0.0 25.65    0 0.5810 5.986  88.4  1.9929   2 188    19.1 385.02
## 127  0.38735   0.0 25.65    0 0.5810 5.613  95.6  1.7572   2 188    19.1 359.29
## 128  0.25915   0.0 21.89    0 0.6240 5.693  96.0  1.7883   4 437    21.2 392.11
## 129  0.32543   0.0 21.89    0 0.6240 6.431  98.8  1.8125   4 437    21.2 396.90
## 130  0.88125   0.0 21.89    0 0.6240 5.637  94.7  1.9799   4 437    21.2 396.90
## 131  0.34006   0.0 21.89    0 0.6240 6.458  98.9  2.1185   4 437    21.2 395.04
## 132  1.19294   0.0 21.89    0 0.6240 6.326  97.7  2.2710   4 437    21.2 396.90
## 133  0.59005   0.0 21.89    0 0.6240 6.372  97.9  2.3274   4 437    21.2 385.76
## 134  0.32982   0.0 21.89    0 0.6240 5.822  95.4  2.4699   4 437    21.2 388.69
## 135  0.97617   0.0 21.89    0 0.6240 5.757  98.4  2.3460   4 437    21.2 262.76
## 136  0.55778   0.0 21.89    0 0.6240 6.335  98.2  2.1107   4 437    21.2 394.67
## 137  0.32264   0.0 21.89    0 0.6240 5.942  93.5  1.9669   4 437    21.2 378.25
## 138  0.35233   0.0 21.89    0 0.6240 6.454  98.4  1.8498   4 437    21.2 394.08
## 139  0.24980   0.0 21.89    0 0.6240 5.857  98.2  1.6686   4 437    21.2 392.04
## 140  0.54452   0.0 21.89    0 0.6240 6.151  97.9  1.6687   4 437    21.2 396.90
## 141  0.29090   0.0 21.89    0 0.6240 6.174  93.6  1.6119   4 437    21.2 388.08
## 142  1.62864   0.0 21.89    0 0.6240 5.019 100.0  1.4394   4 437    21.2 396.90
## 143  3.32105   0.0 19.58    1 0.8710 5.403 100.0  1.3216   5 403    14.7 396.90
## 144  4.09740   0.0 19.58    0 0.8710 5.468 100.0  1.4118   5 403    14.7 396.90
## 145  2.77974   0.0 19.58    0 0.8710 4.903  97.8  1.3459   5 403    14.7 396.90
## 146  2.37934   0.0 19.58    0 0.8710 6.130 100.0  1.4191   5 403    14.7 172.91
## 147  2.15505   0.0 19.58    0 0.8710 5.628 100.0  1.5166   5 403    14.7 169.27
## 148  2.36862   0.0 19.58    0 0.8710 4.926  95.7  1.4608   5 403    14.7 391.71
## 149  2.33099   0.0 19.58    0 0.8710 5.186  93.8  1.5296   5 403    14.7 356.99
## 150  2.73397   0.0 19.58    0 0.8710 5.597  94.9  1.5257   5 403    14.7 351.85
## 151  1.65660   0.0 19.58    0 0.8710 6.122  97.3  1.6180   5 403    14.7 372.80
## 152  1.49632   0.0 19.58    0 0.8710 5.404 100.0  1.5916   5 403    14.7 341.60
## 153  1.12658   0.0 19.58    1 0.8710 5.012  88.0  1.6102   5 403    14.7 343.28
## 154  2.14918   0.0 19.58    0 0.8710 5.709  98.5  1.6232   5 403    14.7 261.95
## 155  1.41385   0.0 19.58    1 0.8710 6.129  96.0  1.7494   5 403    14.7 321.02
## 156  3.53501   0.0 19.58    1 0.8710 6.152  82.6  1.7455   5 403    14.7  88.01
## 157  2.44668   0.0 19.58    0 0.8710 5.272  94.0  1.7364   5 403    14.7  88.63
## 158  1.22358   0.0 19.58    0 0.6050 6.943  97.4  1.8773   5 403    14.7 363.43
## 159  1.34284   0.0 19.58    0 0.6050 6.066 100.0  1.7573   5 403    14.7 353.89
## 160  1.42502   0.0 19.58    0 0.8710 6.510 100.0  1.7659   5 403    14.7 364.31
## 161  1.27346   0.0 19.58    1 0.6050 6.250  92.6  1.7984   5 403    14.7 338.92
## 162  1.46336   0.0 19.58    0 0.6050 7.489  90.8  1.9709   5 403    14.7 374.43
## 163  1.83377   0.0 19.58    1 0.6050 7.802  98.2  2.0407   5 403    14.7 389.61
## 164  1.51902   0.0 19.58    1 0.6050 8.375  93.9  2.1620   5 403    14.7 388.45
## 165  2.24236   0.0 19.58    0 0.6050 5.854  91.8  2.4220   5 403    14.7 395.11
## 166  2.92400   0.0 19.58    0 0.6050 6.101  93.0  2.2834   5 403    14.7 240.16
## 167  2.01019   0.0 19.58    0 0.6050 7.929  96.2  2.0459   5 403    14.7 369.30
## 168  1.80028   0.0 19.58    0 0.6050 5.877  79.2  2.4259   5 403    14.7 227.61
## 169  2.30040   0.0 19.58    0 0.6050 6.319  96.1  2.1000   5 403    14.7 297.09
## 170  2.44953   0.0 19.58    0 0.6050 6.402  95.2  2.2625   5 403    14.7 330.04
## 171  1.20742   0.0 19.58    0 0.6050 5.875  94.6  2.4259   5 403    14.7 292.29
## 172  2.31390   0.0 19.58    0 0.6050 5.880  97.3  2.3887   5 403    14.7 348.13
## 173  0.13914   0.0  4.05    0 0.5100 5.572  88.5  2.5961   5 296    16.6 396.90
## 174  0.09178   0.0  4.05    0 0.5100 6.416  84.1  2.6463   5 296    16.6 395.50
## 175  0.08447   0.0  4.05    0 0.5100 5.859  68.7  2.7019   5 296    16.6 393.23
## 176  0.06664   0.0  4.05    0 0.5100 6.546  33.1  3.1323   5 296    16.6 390.96
## 177  0.07022   0.0  4.05    0 0.5100 6.020  47.2  3.5549   5 296    16.6 393.23
## 178  0.05425   0.0  4.05    0 0.5100 6.315  73.4  3.3175   5 296    16.6 395.60
## 179  0.06642   0.0  4.05    0 0.5100 6.860  74.4  2.9153   5 296    16.6 391.27
## 180  0.05780   0.0  2.46    0 0.4880 6.980  58.4  2.8290   3 193    17.8 396.90
## 181  0.06588   0.0  2.46    0 0.4880 7.765  83.3  2.7410   3 193    17.8 395.56
## 182  0.06888   0.0  2.46    0 0.4880 6.144  62.2  2.5979   3 193    17.8 396.90
## 183  0.09103   0.0  2.46    0 0.4880 7.155  92.2  2.7006   3 193    17.8 394.12
## 184  0.10008   0.0  2.46    0 0.4880 6.563  95.6  2.8470   3 193    17.8 396.90
## 185  0.08308   0.0  2.46    0 0.4880 5.604  89.8  2.9879   3 193    17.8 391.00
## 186  0.06047   0.0  2.46    0 0.4880 6.153  68.8  3.2797   3 193    17.8 387.11
## 187  0.05602   0.0  2.46    0 0.4880 7.831  53.6  3.1992   3 193    17.8 392.63
## 188  0.07875  45.0  3.44    0 0.4370 6.782  41.1  3.7886   5 398    15.2 393.87
## 189  0.12579  45.0  3.44    0 0.4370 6.556  29.1  4.5667   5 398    15.2 382.84
## 190  0.08370  45.0  3.44    0 0.4370 7.185  38.9  4.5667   5 398    15.2 396.90
## 191  0.09068  45.0  3.44    0 0.4370 6.951  21.5  6.4798   5 398    15.2 377.68
## 192  0.06911  45.0  3.44    0 0.4370 6.739  30.8  6.4798   5 398    15.2 389.71
## 193  0.08664  45.0  3.44    0 0.4370 7.178  26.3  6.4798   5 398    15.2 390.49
## 194  0.02187  60.0  2.93    0 0.4010 6.800   9.9  6.2196   1 265    15.6 393.37
## 195  0.01439  60.0  2.93    0 0.4010 6.604  18.8  6.2196   1 265    15.6 376.70
## 196  0.01381  80.0  0.46    0 0.4220 7.875  32.0  5.6484   4 255    14.4 394.23
## 197  0.04011  80.0  1.52    0 0.4040 7.287  34.1  7.3090   2 329    12.6 396.90
## 198  0.04666  80.0  1.52    0 0.4040 7.107  36.6  7.3090   2 329    12.6 354.31
## 199  0.03768  80.0  1.52    0 0.4040 7.274  38.3  7.3090   2 329    12.6 392.20
## 200  0.03150  95.0  1.47    0 0.4030 6.975  15.3  7.6534   3 402    17.0 396.90
## 201  0.01778  95.0  1.47    0 0.4030 7.135  13.9  7.6534   3 402    17.0 384.30
## 202  0.03445  82.5  2.03    0 0.4150 6.162  38.4  6.2700   2 348    14.7 393.77
## 203  0.02177  82.5  2.03    0 0.4150 7.610  15.7  6.2700   2 348    14.7 395.38
## 204  0.03510  95.0  2.68    0 0.4161 7.853  33.2  5.1180   4 224    14.7 392.78
## 205  0.02009  95.0  2.68    0 0.4161 8.034  31.9  5.1180   4 224    14.7 390.55
## 206  0.13642   0.0 10.59    0 0.4890 5.891  22.3  3.9454   4 277    18.6 396.90
## 207  0.22969   0.0 10.59    0 0.4890 6.326  52.5  4.3549   4 277    18.6 394.87
## 208  0.25199   0.0 10.59    0 0.4890 5.783  72.7  4.3549   4 277    18.6 389.43
## 209  0.13587   0.0 10.59    1 0.4890 6.064  59.1  4.2392   4 277    18.6 381.32
## 210  0.43571   0.0 10.59    1 0.4890 5.344 100.0  3.8750   4 277    18.6 396.90
## 211  0.17446   0.0 10.59    1 0.4890 5.960  92.1  3.8771   4 277    18.6 393.25
## 212  0.37578   0.0 10.59    1 0.4890 5.404  88.6  3.6650   4 277    18.6 395.24
## 213  0.21719   0.0 10.59    1 0.4890 5.807  53.8  3.6526   4 277    18.6 390.94
## 214  0.14052   0.0 10.59    0 0.4890 6.375  32.3  3.9454   4 277    18.6 385.81
## 215  0.28955   0.0 10.59    0 0.4890 5.412   9.8  3.5875   4 277    18.6 348.93
## 216  0.19802   0.0 10.59    0 0.4890 6.182  42.4  3.9454   4 277    18.6 393.63
## 217  0.04560   0.0 13.89    1 0.5500 5.888  56.0  3.1121   5 276    16.4 392.80
## 218  0.07013   0.0 13.89    0 0.5500 6.642  85.1  3.4211   5 276    16.4 392.78
## 219  0.11069   0.0 13.89    1 0.5500 5.951  93.8  2.8893   5 276    16.4 396.90
## 220  0.11425   0.0 13.89    1 0.5500 6.373  92.4  3.3633   5 276    16.4 393.74
## 221  0.35809   0.0  6.20    1 0.5070 6.951  88.5  2.8617   8 307    17.4 391.70
## 222  0.40771   0.0  6.20    1 0.5070 6.164  91.3  3.0480   8 307    17.4 395.24
## 223  0.62356   0.0  6.20    1 0.5070 6.879  77.7  3.2721   8 307    17.4 390.39
## 224  0.61470   0.0  6.20    0 0.5070 6.618  80.8  3.2721   8 307    17.4 396.90
## 225  0.31533   0.0  6.20    0 0.5040 8.266  78.3  2.8944   8 307    17.4 385.05
## 226  0.52693   0.0  6.20    0 0.5040 8.725  83.0  2.8944   8 307    17.4 382.00
## 227  0.38214   0.0  6.20    0 0.5040 8.040  86.5  3.2157   8 307    17.4 387.38
## 228  0.41238   0.0  6.20    0 0.5040 7.163  79.9  3.2157   8 307    17.4 372.08
## 229  0.29819   0.0  6.20    0 0.5040 7.686  17.0  3.3751   8 307    17.4 377.51
## 230  0.44178   0.0  6.20    0 0.5040 6.552  21.4  3.3751   8 307    17.4 380.34
## 231  0.53700   0.0  6.20    0 0.5040 5.981  68.1  3.6715   8 307    17.4 378.35
## 232  0.46296   0.0  6.20    0 0.5040 7.412  76.9  3.6715   8 307    17.4 376.14
## 233  0.57529   0.0  6.20    0 0.5070 8.337  73.3  3.8384   8 307    17.4 385.91
## 234  0.33147   0.0  6.20    0 0.5070 8.247  70.4  3.6519   8 307    17.4 378.95
## 235  0.44791   0.0  6.20    1 0.5070 6.726  66.5  3.6519   8 307    17.4 360.20
## 236  0.33045   0.0  6.20    0 0.5070 6.086  61.5  3.6519   8 307    17.4 376.75
## 237  0.52058   0.0  6.20    1 0.5070 6.631  76.5  4.1480   8 307    17.4 388.45
## 238  0.51183   0.0  6.20    0 0.5070 7.358  71.6  4.1480   8 307    17.4 390.07
## 239  0.08244  30.0  4.93    0 0.4280 6.481  18.5  6.1899   6 300    16.6 379.41
## 240  0.09252  30.0  4.93    0 0.4280 6.606  42.2  6.1899   6 300    16.6 383.78
## 241  0.11329  30.0  4.93    0 0.4280 6.897  54.3  6.3361   6 300    16.6 391.25
## 242  0.10612  30.0  4.93    0 0.4280 6.095  65.1  6.3361   6 300    16.6 394.62
## 243  0.10290  30.0  4.93    0 0.4280 6.358  52.9  7.0355   6 300    16.6 372.75
## 244  0.12757  30.0  4.93    0 0.4280 6.393   7.8  7.0355   6 300    16.6 374.71
## 245  0.20608  22.0  5.86    0 0.4310 5.593  76.5  7.9549   7 330    19.1 372.49
## 246  0.19133  22.0  5.86    0 0.4310 5.605  70.2  7.9549   7 330    19.1 389.13
## 247  0.33983  22.0  5.86    0 0.4310 6.108  34.9  8.0555   7 330    19.1 390.18
## 248  0.19657  22.0  5.86    0 0.4310 6.226  79.2  8.0555   7 330    19.1 376.14
## 249  0.16439  22.0  5.86    0 0.4310 6.433  49.1  7.8265   7 330    19.1 374.71
## 250  0.19073  22.0  5.86    0 0.4310 6.718  17.5  7.8265   7 330    19.1 393.74
## 251  0.14030  22.0  5.86    0 0.4310 6.487  13.0  7.3967   7 330    19.1 396.28
## 252  0.21409  22.0  5.86    0 0.4310 6.438   8.9  7.3967   7 330    19.1 377.07
## 253  0.08221  22.0  5.86    0 0.4310 6.957   6.8  8.9067   7 330    19.1 386.09
## 254  0.36894  22.0  5.86    0 0.4310 8.259   8.4  8.9067   7 330    19.1 396.90
## 255  0.04819  80.0  3.64    0 0.3920 6.108  32.0  9.2203   1 315    16.4 392.89
## 256  0.03548  80.0  3.64    0 0.3920 5.876  19.1  9.2203   1 315    16.4 395.18
## 257  0.01538  90.0  3.75    0 0.3940 7.454  34.2  6.3361   3 244    15.9 386.34
## 258  0.61154  20.0  3.97    0 0.6470 8.704  86.9  1.8010   5 264    13.0 389.70
## 259  0.66351  20.0  3.97    0 0.6470 7.333 100.0  1.8946   5 264    13.0 383.29
## 260  0.65665  20.0  3.97    0 0.6470 6.842 100.0  2.0107   5 264    13.0 391.93
## 261  0.54011  20.0  3.97    0 0.6470 7.203  81.8  2.1121   5 264    13.0 392.80
## 262  0.53412  20.0  3.97    0 0.6470 7.520  89.4  2.1398   5 264    13.0 388.37
## 263  0.52014  20.0  3.97    0 0.6470 8.398  91.5  2.2885   5 264    13.0 386.86
## 264  0.82526  20.0  3.97    0 0.6470 7.327  94.5  2.0788   5 264    13.0 393.42
## 265  0.55007  20.0  3.97    0 0.6470 7.206  91.6  1.9301   5 264    13.0 387.89
## 266  0.76162  20.0  3.97    0 0.6470 5.560  62.8  1.9865   5 264    13.0 392.40
## 267  0.78570  20.0  3.97    0 0.6470 7.014  84.6  2.1329   5 264    13.0 384.07
## 268  0.57834  20.0  3.97    0 0.5750 8.297  67.0  2.4216   5 264    13.0 384.54
## 269  0.54050  20.0  3.97    0 0.5750 7.470  52.6  2.8720   5 264    13.0 390.30
## 270  0.09065  20.0  6.96    1 0.4640 5.920  61.5  3.9175   3 223    18.6 391.34
## 271  0.29916  20.0  6.96    0 0.4640 5.856  42.1  4.4290   3 223    18.6 388.65
## 272  0.16211  20.0  6.96    0 0.4640 6.240  16.3  4.4290   3 223    18.6 396.90
## 273  0.11460  20.0  6.96    0 0.4640 6.538  58.7  3.9175   3 223    18.6 394.96
## 274  0.22188  20.0  6.96    1 0.4640 7.691  51.8  4.3665   3 223    18.6 390.77
## 275  0.05644  40.0  6.41    1 0.4470 6.758  32.9  4.0776   4 254    17.6 396.90
## 276  0.09604  40.0  6.41    0 0.4470 6.854  42.8  4.2673   4 254    17.6 396.90
## 277  0.10469  40.0  6.41    1 0.4470 7.267  49.0  4.7872   4 254    17.6 389.25
## 278  0.06127  40.0  6.41    1 0.4470 6.826  27.6  4.8628   4 254    17.6 393.45
## 279  0.07978  40.0  6.41    0 0.4470 6.482  32.1  4.1403   4 254    17.6 396.90
## 280  0.21038  20.0  3.33    0 0.4429 6.812  32.2  4.1007   5 216    14.9 396.90
## 281  0.03578  20.0  3.33    0 0.4429 7.820  64.5  4.6947   5 216    14.9 387.31
## 282  0.03705  20.0  3.33    0 0.4429 6.968  37.2  5.2447   5 216    14.9 392.23
## 283  0.06129  20.0  3.33    1 0.4429 7.645  49.7  5.2119   5 216    14.9 377.07
## 284  0.01501  90.0  1.21    1 0.4010 7.923  24.8  5.8850   1 198    13.6 395.52
## 285  0.00906  90.0  2.97    0 0.4000 7.088  20.8  7.3073   1 285    15.3 394.72
## 286  0.01096  55.0  2.25    0 0.3890 6.453  31.9  7.3073   1 300    15.3 394.72
## 287  0.01965  80.0  1.76    0 0.3850 6.230  31.5  9.0892   1 241    18.2 341.60
## 288  0.03871  52.5  5.32    0 0.4050 6.209  31.3  7.3172   6 293    16.6 396.90
## 289  0.04590  52.5  5.32    0 0.4050 6.315  45.6  7.3172   6 293    16.6 396.90
## 290  0.04297  52.5  5.32    0 0.4050 6.565  22.9  7.3172   6 293    16.6 371.72
## 291  0.03502  80.0  4.95    0 0.4110 6.861  27.9  5.1167   4 245    19.2 396.90
## 292  0.07886  80.0  4.95    0 0.4110 7.148  27.7  5.1167   4 245    19.2 396.90
## 293  0.03615  80.0  4.95    0 0.4110 6.630  23.4  5.1167   4 245    19.2 396.90
## 294  0.08265   0.0 13.92    0 0.4370 6.127  18.4  5.5027   4 289    16.0 396.90
## 295  0.08199   0.0 13.92    0 0.4370 6.009  42.3  5.5027   4 289    16.0 396.90
## 296  0.12932   0.0 13.92    0 0.4370 6.678  31.1  5.9604   4 289    16.0 396.90
## 297  0.05372   0.0 13.92    0 0.4370 6.549  51.0  5.9604   4 289    16.0 392.85
## 298  0.14103   0.0 13.92    0 0.4370 5.790  58.0  6.3200   4 289    16.0 396.90
## 299  0.06466  70.0  2.24    0 0.4000 6.345  20.1  7.8278   5 358    14.8 368.24
## 300  0.05561  70.0  2.24    0 0.4000 7.041  10.0  7.8278   5 358    14.8 371.58
## 301  0.04417  70.0  2.24    0 0.4000 6.871  47.4  7.8278   5 358    14.8 390.86
## 302  0.03537  34.0  6.09    0 0.4330 6.590  40.4  5.4917   7 329    16.1 395.75
## 303  0.09266  34.0  6.09    0 0.4330 6.495  18.4  5.4917   7 329    16.1 383.61
## 304  0.10000  34.0  6.09    0 0.4330 6.982  17.7  5.4917   7 329    16.1 390.43
## 305  0.05515  33.0  2.18    0 0.4720 7.236  41.1  4.0220   7 222    18.4 393.68
## 306  0.05479  33.0  2.18    0 0.4720 6.616  58.1  3.3700   7 222    18.4 393.36
## 307  0.07503  33.0  2.18    0 0.4720 7.420  71.9  3.0992   7 222    18.4 396.90
## 308  0.04932  33.0  2.18    0 0.4720 6.849  70.3  3.1827   7 222    18.4 396.90
## 309  0.49298   0.0  9.90    0 0.5440 6.635  82.5  3.3175   4 304    18.4 396.90
## 310  0.34940   0.0  9.90    0 0.5440 5.972  76.7  3.1025   4 304    18.4 396.24
## 311  2.63548   0.0  9.90    0 0.5440 4.973  37.8  2.5194   4 304    18.4 350.45
## 312  0.79041   0.0  9.90    0 0.5440 6.122  52.8  2.6403   4 304    18.4 396.90
## 313  0.26169   0.0  9.90    0 0.5440 6.023  90.4  2.8340   4 304    18.4 396.30
## 314  0.26938   0.0  9.90    0 0.5440 6.266  82.8  3.2628   4 304    18.4 393.39
## 315  0.36920   0.0  9.90    0 0.5440 6.567  87.3  3.6023   4 304    18.4 395.69
## 316  0.25356   0.0  9.90    0 0.5440 5.705  77.7  3.9450   4 304    18.4 396.42
## 317  0.31827   0.0  9.90    0 0.5440 5.914  83.2  3.9986   4 304    18.4 390.70
## 318  0.24522   0.0  9.90    0 0.5440 5.782  71.7  4.0317   4 304    18.4 396.90
## 319  0.40202   0.0  9.90    0 0.5440 6.382  67.2  3.5325   4 304    18.4 395.21
## 320  0.47547   0.0  9.90    0 0.5440 6.113  58.8  4.0019   4 304    18.4 396.23
## 321  0.16760   0.0  7.38    0 0.4930 6.426  52.3  4.5404   5 287    19.6 396.90
## 322  0.18159   0.0  7.38    0 0.4930 6.376  54.3  4.5404   5 287    19.6 396.90
## 323  0.35114   0.0  7.38    0 0.4930 6.041  49.9  4.7211   5 287    19.6 396.90
## 324  0.28392   0.0  7.38    0 0.4930 5.708  74.3  4.7211   5 287    19.6 391.13
## 325  0.34109   0.0  7.38    0 0.4930 6.415  40.1  4.7211   5 287    19.6 396.90
## 326  0.19186   0.0  7.38    0 0.4930 6.431  14.7  5.4159   5 287    19.6 393.68
## 327  0.30347   0.0  7.38    0 0.4930 6.312  28.9  5.4159   5 287    19.6 396.90
## 328  0.24103   0.0  7.38    0 0.4930 6.083  43.7  5.4159   5 287    19.6 396.90
## 329  0.06617   0.0  3.24    0 0.4600 5.868  25.8  5.2146   4 430    16.9 382.44
## 330  0.06724   0.0  3.24    0 0.4600 6.333  17.2  5.2146   4 430    16.9 375.21
## 331  0.04544   0.0  3.24    0 0.4600 6.144  32.2  5.8736   4 430    16.9 368.57
## 332  0.05023  35.0  6.06    0 0.4379 5.706  28.4  6.6407   1 304    16.9 394.02
## 333  0.03466  35.0  6.06    0 0.4379 6.031  23.3  6.6407   1 304    16.9 362.25
## 334  0.05083   0.0  5.19    0 0.5150 6.316  38.1  6.4584   5 224    20.2 389.71
## 335  0.03738   0.0  5.19    0 0.5150 6.310  38.5  6.4584   5 224    20.2 389.40
## 336  0.03961   0.0  5.19    0 0.5150 6.037  34.5  5.9853   5 224    20.2 396.90
## 337  0.03427   0.0  5.19    0 0.5150 5.869  46.3  5.2311   5 224    20.2 396.90
## 338  0.03041   0.0  5.19    0 0.5150 5.895  59.6  5.6150   5 224    20.2 394.81
## 339  0.03306   0.0  5.19    0 0.5150 6.059  37.3  4.8122   5 224    20.2 396.14
## 340  0.05497   0.0  5.19    0 0.5150 5.985  45.4  4.8122   5 224    20.2 396.90
## 341  0.06151   0.0  5.19    0 0.5150 5.968  58.5  4.8122   5 224    20.2 396.90
## 342  0.01301  35.0  1.52    0 0.4420 7.241  49.3  7.0379   1 284    15.5 394.74
## 343  0.02498   0.0  1.89    0 0.5180 6.540  59.7  6.2669   1 422    15.9 389.96
## 344  0.02543  55.0  3.78    0 0.4840 6.696  56.4  5.7321   5 370    17.6 396.90
## 345  0.03049  55.0  3.78    0 0.4840 6.874  28.1  6.4654   5 370    17.6 387.97
## 346  0.03113   0.0  4.39    0 0.4420 6.014  48.5  8.0136   3 352    18.8 385.64
## 347  0.06162   0.0  4.39    0 0.4420 5.898  52.3  8.0136   3 352    18.8 364.61
## 348  0.01870  85.0  4.15    0 0.4290 6.516  27.7  8.5353   4 351    17.9 392.43
## 349  0.01501  80.0  2.01    0 0.4350 6.635  29.7  8.3440   4 280    17.0 390.94
## 350  0.02899  40.0  1.25    0 0.4290 6.939  34.5  8.7921   1 335    19.7 389.85
## 351  0.06211  40.0  1.25    0 0.4290 6.490  44.4  8.7921   1 335    19.7 396.90
## 352  0.07950  60.0  1.69    0 0.4110 6.579  35.9 10.7103   4 411    18.3 370.78
## 353  0.07244  60.0  1.69    0 0.4110 5.884  18.5 10.7103   4 411    18.3 392.33
## 354  0.01709  90.0  2.02    0 0.4100 6.728  36.1 12.1265   5 187    17.0 384.46
## 355  0.04301  80.0  1.91    0 0.4130 5.663  21.9 10.5857   4 334    22.0 382.80
## 356  0.10659  80.0  1.91    0 0.4130 5.936  19.5 10.5857   4 334    22.0 376.04
## 357  8.98296   0.0 18.10    1 0.7700 6.212  97.4  2.1222  24 666    20.2 377.73
## 358  3.84970   0.0 18.10    1 0.7700 6.395  91.0  2.5052  24 666    20.2 391.34
## 359  5.20177   0.0 18.10    1 0.7700 6.127  83.4  2.7227  24 666    20.2 395.43
## 360  4.26131   0.0 18.10    0 0.7700 6.112  81.3  2.5091  24 666    20.2 390.74
## 361  4.54192   0.0 18.10    0 0.7700 6.398  88.0  2.5182  24 666    20.2 374.56
## 362  3.83684   0.0 18.10    0 0.7700 6.251  91.1  2.2955  24 666    20.2 350.65
## 363  3.67822   0.0 18.10    0 0.7700 5.362  96.2  2.1036  24 666    20.2 380.79
## 364  4.22239   0.0 18.10    1 0.7700 5.803  89.0  1.9047  24 666    20.2 353.04
## 365  3.47428   0.0 18.10    1 0.7180 8.780  82.9  1.9047  24 666    20.2 354.55
## 366  4.55587   0.0 18.10    0 0.7180 3.561  87.9  1.6132  24 666    20.2 354.70
## 367  3.69695   0.0 18.10    0 0.7180 4.963  91.4  1.7523  24 666    20.2 316.03
## 368 13.52220   0.0 18.10    0 0.6310 3.863 100.0  1.5106  24 666    20.2 131.42
## 369  4.89822   0.0 18.10    0 0.6310 4.970 100.0  1.3325  24 666    20.2 375.52
## 370  5.66998   0.0 18.10    1 0.6310 6.683  96.8  1.3567  24 666    20.2 375.33
## 371  6.53876   0.0 18.10    1 0.6310 7.016  97.5  1.2024  24 666    20.2 392.05
## 372  9.23230   0.0 18.10    0 0.6310 6.216 100.0  1.1691  24 666    20.2 366.15
## 373  8.26725   0.0 18.10    1 0.6680 5.875  89.6  1.1296  24 666    20.2 347.88
## 374 11.10810   0.0 18.10    0 0.6680 4.906 100.0  1.1742  24 666    20.2 396.90
## 375 18.49820   0.0 18.10    0 0.6680 4.138 100.0  1.1370  24 666    20.2 396.90
## 376 19.60910   0.0 18.10    0 0.6710 7.313  97.9  1.3163  24 666    20.2 396.90
## 377 15.28800   0.0 18.10    0 0.6710 6.649  93.3  1.3449  24 666    20.2 363.02
## 378  9.82349   0.0 18.10    0 0.6710 6.794  98.8  1.3580  24 666    20.2 396.90
## 379 23.64820   0.0 18.10    0 0.6710 6.380  96.2  1.3861  24 666    20.2 396.90
## 380 17.86670   0.0 18.10    0 0.6710 6.223 100.0  1.3861  24 666    20.2 393.74
## 381 88.97620   0.0 18.10    0 0.6710 6.968  91.9  1.4165  24 666    20.2 396.90
## 382 15.87440   0.0 18.10    0 0.6710 6.545  99.1  1.5192  24 666    20.2 396.90
## 383  9.18702   0.0 18.10    0 0.7000 5.536 100.0  1.5804  24 666    20.2 396.90
## 384  7.99248   0.0 18.10    0 0.7000 5.520 100.0  1.5331  24 666    20.2 396.90
## 385 20.08490   0.0 18.10    0 0.7000 4.368  91.2  1.4395  24 666    20.2 285.83
## 386 16.81180   0.0 18.10    0 0.7000 5.277  98.1  1.4261  24 666    20.2 396.90
## 387 24.39380   0.0 18.10    0 0.7000 4.652 100.0  1.4672  24 666    20.2 396.90
## 388 22.59710   0.0 18.10    0 0.7000 5.000  89.5  1.5184  24 666    20.2 396.90
## 389 14.33370   0.0 18.10    0 0.7000 4.880 100.0  1.5895  24 666    20.2 372.92
## 390  8.15174   0.0 18.10    0 0.7000 5.390  98.9  1.7281  24 666    20.2 396.90
## 391  6.96215   0.0 18.10    0 0.7000 5.713  97.0  1.9265  24 666    20.2 394.43
## 392  5.29305   0.0 18.10    0 0.7000 6.051  82.5  2.1678  24 666    20.2 378.38
## 393 11.57790   0.0 18.10    0 0.7000 5.036  97.0  1.7700  24 666    20.2 396.90
## 394  8.64476   0.0 18.10    0 0.6930 6.193  92.6  1.7912  24 666    20.2 396.90
## 395 13.35980   0.0 18.10    0 0.6930 5.887  94.7  1.7821  24 666    20.2 396.90
## 396  8.71675   0.0 18.10    0 0.6930 6.471  98.8  1.7257  24 666    20.2 391.98
## 397  5.87205   0.0 18.10    0 0.6930 6.405  96.0  1.6768  24 666    20.2 396.90
## 398  7.67202   0.0 18.10    0 0.6930 5.747  98.9  1.6334  24 666    20.2 393.10
## 399 38.35180   0.0 18.10    0 0.6930 5.453 100.0  1.4896  24 666    20.2 396.90
## 400  9.91655   0.0 18.10    0 0.6930 5.852  77.8  1.5004  24 666    20.2 338.16
## 401 25.04610   0.0 18.10    0 0.6930 5.987 100.0  1.5888  24 666    20.2 396.90
## 402 14.23620   0.0 18.10    0 0.6930 6.343 100.0  1.5741  24 666    20.2 396.90
## 403  9.59571   0.0 18.10    0 0.6930 6.404 100.0  1.6390  24 666    20.2 376.11
## 404 24.80170   0.0 18.10    0 0.6930 5.349  96.0  1.7028  24 666    20.2 396.90
## 405 41.52920   0.0 18.10    0 0.6930 5.531  85.4  1.6074  24 666    20.2 329.46
## 406 67.92080   0.0 18.10    0 0.6930 5.683 100.0  1.4254  24 666    20.2 384.97
## 407 20.71620   0.0 18.10    0 0.6590 4.138 100.0  1.1781  24 666    20.2 370.22
## 408 11.95110   0.0 18.10    0 0.6590 5.608 100.0  1.2852  24 666    20.2 332.09
## 409  7.40389   0.0 18.10    0 0.5970 5.617  97.9  1.4547  24 666    20.2 314.64
## 410 14.43830   0.0 18.10    0 0.5970 6.852 100.0  1.4655  24 666    20.2 179.36
## 411 51.13580   0.0 18.10    0 0.5970 5.757 100.0  1.4130  24 666    20.2   2.60
## 412 14.05070   0.0 18.10    0 0.5970 6.657 100.0  1.5275  24 666    20.2  35.05
## 413 18.81100   0.0 18.10    0 0.5970 4.628 100.0  1.5539  24 666    20.2  28.79
## 414 28.65580   0.0 18.10    0 0.5970 5.155 100.0  1.5894  24 666    20.2 210.97
## 415 45.74610   0.0 18.10    0 0.6930 4.519 100.0  1.6582  24 666    20.2  88.27
## 416 18.08460   0.0 18.10    0 0.6790 6.434 100.0  1.8347  24 666    20.2  27.25
## 417 10.83420   0.0 18.10    0 0.6790 6.782  90.8  1.8195  24 666    20.2  21.57
## 418 25.94060   0.0 18.10    0 0.6790 5.304  89.1  1.6475  24 666    20.2 127.36
## 419 73.53410   0.0 18.10    0 0.6790 5.957 100.0  1.8026  24 666    20.2  16.45
## 420 11.81230   0.0 18.10    0 0.7180 6.824  76.5  1.7940  24 666    20.2  48.45
## 421 11.08740   0.0 18.10    0 0.7180 6.411 100.0  1.8589  24 666    20.2 318.75
## 422  7.02259   0.0 18.10    0 0.7180 6.006  95.3  1.8746  24 666    20.2 319.98
## 423 12.04820   0.0 18.10    0 0.6140 5.648  87.6  1.9512  24 666    20.2 291.55
## 424  7.05042   0.0 18.10    0 0.6140 6.103  85.1  2.0218  24 666    20.2   2.52
## 425  8.79212   0.0 18.10    0 0.5840 5.565  70.6  2.0635  24 666    20.2   3.65
## 426 15.86030   0.0 18.10    0 0.6790 5.896  95.4  1.9096  24 666    20.2   7.68
## 427 12.24720   0.0 18.10    0 0.5840 5.837  59.7  1.9976  24 666    20.2  24.65
## 428 37.66190   0.0 18.10    0 0.6790 6.202  78.7  1.8629  24 666    20.2  18.82
## 429  7.36711   0.0 18.10    0 0.6790 6.193  78.1  1.9356  24 666    20.2  96.73
## 430  9.33889   0.0 18.10    0 0.6790 6.380  95.6  1.9682  24 666    20.2  60.72
## 431  8.49213   0.0 18.10    0 0.5840 6.348  86.1  2.0527  24 666    20.2  83.45
## 432 10.06230   0.0 18.10    0 0.5840 6.833  94.3  2.0882  24 666    20.2  81.33
## 433  6.44405   0.0 18.10    0 0.5840 6.425  74.8  2.2004  24 666    20.2  97.95
## 434  5.58107   0.0 18.10    0 0.7130 6.436  87.9  2.3158  24 666    20.2 100.19
## 435 13.91340   0.0 18.10    0 0.7130 6.208  95.0  2.2222  24 666    20.2 100.63
## 436 11.16040   0.0 18.10    0 0.7400 6.629  94.6  2.1247  24 666    20.2 109.85
## 437 14.42080   0.0 18.10    0 0.7400 6.461  93.3  2.0026  24 666    20.2  27.49
## 438 15.17720   0.0 18.10    0 0.7400 6.152 100.0  1.9142  24 666    20.2   9.32
## 439 13.67810   0.0 18.10    0 0.7400 5.935  87.9  1.8206  24 666    20.2  68.95
## 440  9.39063   0.0 18.10    0 0.7400 5.627  93.9  1.8172  24 666    20.2 396.90
## 441 22.05110   0.0 18.10    0 0.7400 5.818  92.4  1.8662  24 666    20.2 391.45
## 442  9.72418   0.0 18.10    0 0.7400 6.406  97.2  2.0651  24 666    20.2 385.96
## 443  5.66637   0.0 18.10    0 0.7400 6.219 100.0  2.0048  24 666    20.2 395.69
## 444  9.96654   0.0 18.10    0 0.7400 6.485 100.0  1.9784  24 666    20.2 386.73
## 445 12.80230   0.0 18.10    0 0.7400 5.854  96.6  1.8956  24 666    20.2 240.52
## 446 10.67180   0.0 18.10    0 0.7400 6.459  94.8  1.9879  24 666    20.2  43.06
## 447  6.28807   0.0 18.10    0 0.7400 6.341  96.4  2.0720  24 666    20.2 318.01
## 448  9.92485   0.0 18.10    0 0.7400 6.251  96.6  2.1980  24 666    20.2 388.52
## 449  9.32909   0.0 18.10    0 0.7130 6.185  98.7  2.2616  24 666    20.2 396.90
## 450  7.52601   0.0 18.10    0 0.7130 6.417  98.3  2.1850  24 666    20.2 304.21
## 451  6.71772   0.0 18.10    0 0.7130 6.749  92.6  2.3236  24 666    20.2   0.32
## 452  5.44114   0.0 18.10    0 0.7130 6.655  98.2  2.3552  24 666    20.2 355.29
## 453  5.09017   0.0 18.10    0 0.7130 6.297  91.8  2.3682  24 666    20.2 385.09
## 454  8.24809   0.0 18.10    0 0.7130 7.393  99.3  2.4527  24 666    20.2 375.87
## 455  9.51363   0.0 18.10    0 0.7130 6.728  94.1  2.4961  24 666    20.2   6.68
## 456  4.75237   0.0 18.10    0 0.7130 6.525  86.5  2.4358  24 666    20.2  50.92
## 457  4.66883   0.0 18.10    0 0.7130 5.976  87.9  2.5806  24 666    20.2  10.48
## 458  8.20058   0.0 18.10    0 0.7130 5.936  80.3  2.7792  24 666    20.2   3.50
## 459  7.75223   0.0 18.10    0 0.7130 6.301  83.7  2.7831  24 666    20.2 272.21
## 460  6.80117   0.0 18.10    0 0.7130 6.081  84.4  2.7175  24 666    20.2 396.90
## 461  4.81213   0.0 18.10    0 0.7130 6.701  90.0  2.5975  24 666    20.2 255.23
## 462  3.69311   0.0 18.10    0 0.7130 6.376  88.4  2.5671  24 666    20.2 391.43
## 463  6.65492   0.0 18.10    0 0.7130 6.317  83.0  2.7344  24 666    20.2 396.90
## 464  5.82115   0.0 18.10    0 0.7130 6.513  89.9  2.8016  24 666    20.2 393.82
## 465  7.83932   0.0 18.10    0 0.6550 6.209  65.4  2.9634  24 666    20.2 396.90
## 466  3.16360   0.0 18.10    0 0.6550 5.759  48.2  3.0665  24 666    20.2 334.40
## 467  3.77498   0.0 18.10    0 0.6550 5.952  84.7  2.8715  24 666    20.2  22.01
## 468  4.42228   0.0 18.10    0 0.5840 6.003  94.5  2.5403  24 666    20.2 331.29
## 469 15.57570   0.0 18.10    0 0.5800 5.926  71.0  2.9084  24 666    20.2 368.74
## 470 13.07510   0.0 18.10    0 0.5800 5.713  56.7  2.8237  24 666    20.2 396.90
## 471  4.34879   0.0 18.10    0 0.5800 6.167  84.0  3.0334  24 666    20.2 396.90
## 472  4.03841   0.0 18.10    0 0.5320 6.229  90.7  3.0993  24 666    20.2 395.33
## 473  3.56868   0.0 18.10    0 0.5800 6.437  75.0  2.8965  24 666    20.2 393.37
## 474  4.64689   0.0 18.10    0 0.6140 6.980  67.6  2.5329  24 666    20.2 374.68
## 475  8.05579   0.0 18.10    0 0.5840 5.427  95.4  2.4298  24 666    20.2 352.58
## 476  6.39312   0.0 18.10    0 0.5840 6.162  97.4  2.2060  24 666    20.2 302.76
## 477  4.87141   0.0 18.10    0 0.6140 6.484  93.6  2.3053  24 666    20.2 396.21
## 478 15.02340   0.0 18.10    0 0.6140 5.304  97.3  2.1007  24 666    20.2 349.48
## 479 10.23300   0.0 18.10    0 0.6140 6.185  96.7  2.1705  24 666    20.2 379.70
## 480 14.33370   0.0 18.10    0 0.6140 6.229  88.0  1.9512  24 666    20.2 383.32
## 481  5.82401   0.0 18.10    0 0.5320 6.242  64.7  3.4242  24 666    20.2 396.90
## 482  5.70818   0.0 18.10    0 0.5320 6.750  74.9  3.3317  24 666    20.2 393.07
## 483  5.73116   0.0 18.10    0 0.5320 7.061  77.0  3.4106  24 666    20.2 395.28
## 484  2.81838   0.0 18.10    0 0.5320 5.762  40.3  4.0983  24 666    20.2 392.92
## 485  2.37857   0.0 18.10    0 0.5830 5.871  41.9  3.7240  24 666    20.2 370.73
## 486  3.67367   0.0 18.10    0 0.5830 6.312  51.9  3.9917  24 666    20.2 388.62
## 487  5.69175   0.0 18.10    0 0.5830 6.114  79.8  3.5459  24 666    20.2 392.68
## 488  4.83567   0.0 18.10    0 0.5830 5.905  53.2  3.1523  24 666    20.2 388.22
## 489  0.15086   0.0 27.74    0 0.6090 5.454  92.7  1.8209   4 711    20.1 395.09
## 490  0.18337   0.0 27.74    0 0.6090 5.414  98.3  1.7554   4 711    20.1 344.05
## 491  0.20746   0.0 27.74    0 0.6090 5.093  98.0  1.8226   4 711    20.1 318.43
## 492  0.10574   0.0 27.74    0 0.6090 5.983  98.8  1.8681   4 711    20.1 390.11
## 493  0.11132   0.0 27.74    0 0.6090 5.983  83.5  2.1099   4 711    20.1 396.90
## 494  0.17331   0.0  9.69    0 0.5850 5.707  54.0  2.3817   6 391    19.2 396.90
## 495  0.27957   0.0  9.69    0 0.5850 5.926  42.6  2.3817   6 391    19.2 396.90
## 496  0.17899   0.0  9.69    0 0.5850 5.670  28.8  2.7986   6 391    19.2 393.29
## 497  0.28960   0.0  9.69    0 0.5850 5.390  72.9  2.7986   6 391    19.2 396.90
## 498  0.26838   0.0  9.69    0 0.5850 5.794  70.6  2.8927   6 391    19.2 396.90
## 499  0.23912   0.0  9.69    0 0.5850 6.019  65.3  2.4091   6 391    19.2 396.90
## 500  0.17783   0.0  9.69    0 0.5850 5.569  73.5  2.3999   6 391    19.2 395.77
## 501  0.22438   0.0  9.69    0 0.5850 6.027  79.7  2.4982   6 391    19.2 396.90
## 502  0.06263   0.0 11.93    0 0.5730 6.593  69.1  2.4786   1 273    21.0 391.99
## 503  0.04527   0.0 11.93    0 0.5730 6.120  76.7  2.2875   1 273    21.0 396.90
## 504  0.06076   0.0 11.93    0 0.5730 6.976  91.0  2.1675   1 273    21.0 396.90
## 505  0.10959   0.0 11.93    0 0.5730 6.794  89.3  2.3889   1 273    21.0 393.45
## 506  0.04741   0.0 11.93    0 0.5730 6.030  80.8  2.5050   1 273    21.0 396.90
##     lstat medv
## 1    4.98 24.0
## 2    9.14 21.6
## 3    4.03 34.7
## 4    2.94 33.4
## 5    5.33 36.2
## 6    5.21 28.7
## 7   12.43 22.9
## 8   19.15 27.1
## 9   29.93 16.5
## 10  17.10 18.9
## 11  20.45 15.0
## 12  13.27 18.9
## 13  15.71 21.7
## 14   8.26 20.4
## 15  10.26 18.2
## 16   8.47 19.9
## 17   6.58 23.1
## 18  14.67 17.5
## 19  11.69 20.2
## 20  11.28 18.2
## 21  21.02 13.6
## 22  13.83 19.6
## 23  18.72 15.2
## 24  19.88 14.5
## 25  16.30 15.6
## 26  16.51 13.9
## 27  14.81 16.6
## 28  17.28 14.8
## 29  12.80 18.4
## 30  11.98 21.0
## 31  22.60 12.7
## 32  13.04 14.5
## 33  27.71 13.2
## 34  18.35 13.1
## 35  20.34 13.5
## 36   9.68 18.9
## 37  11.41 20.0
## 38   8.77 21.0
## 39  10.13 24.7
## 40   4.32 30.8
## 41   1.98 34.9
## 42   4.84 26.6
## 43   5.81 25.3
## 44   7.44 24.7
## 45   9.55 21.2
## 46  10.21 19.3
## 47  14.15 20.0
## 48  18.80 16.6
## 49  30.81 14.4
## 50  16.20 19.4
## 51  13.45 19.7
## 52   9.43 20.5
## 53   5.28 25.0
## 54   8.43 23.4
## 55  14.80 18.9
## 56   4.81 35.4
## 57   5.77 24.7
## 58   3.95 31.6
## 59   6.86 23.3
## 60   9.22 19.6
## 61  13.15 18.7
## 62  14.44 16.0
## 63   6.73 22.2
## 64   9.50 25.0
## 65   8.05 33.0
## 66   4.67 23.5
## 67  10.24 19.4
## 68   8.10 22.0
## 69  13.09 17.4
## 70   8.79 20.9
## 71   6.72 24.2
## 72   9.88 21.7
## 73   5.52 22.8
## 74   7.54 23.4
## 75   6.78 24.1
## 76   8.94 21.4
## 77  11.97 20.0
## 78  10.27 20.8
## 79  12.34 21.2
## 80   9.10 20.3
## 81   5.29 28.0
## 82   7.22 23.9
## 83   6.72 24.8
## 84   7.51 22.9
## 85   9.62 23.9
## 86   6.53 26.6
## 87  12.86 22.5
## 88   8.44 22.2
## 89   5.50 23.6
## 90   5.70 28.7
## 91   8.81 22.6
## 92   8.20 22.0
## 93   8.16 22.9
## 94   6.21 25.0
## 95  10.59 20.6
## 96   6.65 28.4
## 97  11.34 21.4
## 98   4.21 38.7
## 99   3.57 43.8
## 100  6.19 33.2
## 101  9.42 27.5
## 102  7.67 26.5
## 103 10.63 18.6
## 104 13.44 19.3
## 105 12.33 20.1
## 106 16.47 19.5
## 107 18.66 19.5
## 108 14.09 20.4
## 109 12.27 19.8
## 110 15.55 19.4
## 111 13.00 21.7
## 112 10.16 22.8
## 113 16.21 18.8
## 114 17.09 18.7
## 115 10.45 18.5
## 116 15.76 18.3
## 117 12.04 21.2
## 118 10.30 19.2
## 119 15.37 20.4
## 120 13.61 19.3
## 121 14.37 22.0
## 122 14.27 20.3
## 123 17.93 20.5
## 124 25.41 17.3
## 125 17.58 18.8
## 126 14.81 21.4
## 127 27.26 15.7
## 128 17.19 16.2
## 129 15.39 18.0
## 130 18.34 14.3
## 131 12.60 19.2
## 132 12.26 19.6
## 133 11.12 23.0
## 134 15.03 18.4
## 135 17.31 15.6
## 136 16.96 18.1
## 137 16.90 17.4
## 138 14.59 17.1
## 139 21.32 13.3
## 140 18.46 17.8
## 141 24.16 14.0
## 142 34.41 14.4
## 143 26.82 13.4
## 144 26.42 15.6
## 145 29.29 11.8
## 146 27.80 13.8
## 147 16.65 15.6
## 148 29.53 14.6
## 149 28.32 17.8
## 150 21.45 15.4
## 151 14.10 21.5
## 152 13.28 19.6
## 153 12.12 15.3
## 154 15.79 19.4
## 155 15.12 17.0
## 156 15.02 15.6
## 157 16.14 13.1
## 158  4.59 41.3
## 159  6.43 24.3
## 160  7.39 23.3
## 161  5.50 27.0
## 162  1.73 50.0
## 163  1.92 50.0
## 164  3.32 50.0
## 165 11.64 22.7
## 166  9.81 25.0
## 167  3.70 50.0
## 168 12.14 23.8
## 169 11.10 23.8
## 170 11.32 22.3
## 171 14.43 17.4
## 172 12.03 19.1
## 173 14.69 23.1
## 174  9.04 23.6
## 175  9.64 22.6
## 176  5.33 29.4
## 177 10.11 23.2
## 178  6.29 24.6
## 179  6.92 29.9
## 180  5.04 37.2
## 181  7.56 39.8
## 182  9.45 36.2
## 183  4.82 37.9
## 184  5.68 32.5
## 185 13.98 26.4
## 186 13.15 29.6
## 187  4.45 50.0
## 188  6.68 32.0
## 189  4.56 29.8
## 190  5.39 34.9
## 191  5.10 37.0
## 192  4.69 30.5
## 193  2.87 36.4
## 194  5.03 31.1
## 195  4.38 29.1
## 196  2.97 50.0
## 197  4.08 33.3
## 198  8.61 30.3
## 199  6.62 34.6
## 200  4.56 34.9
## 201  4.45 32.9
## 202  7.43 24.1
## 203  3.11 42.3
## 204  3.81 48.5
## 205  2.88 50.0
## 206 10.87 22.6
## 207 10.97 24.4
## 208 18.06 22.5
## 209 14.66 24.4
## 210 23.09 20.0
## 211 17.27 21.7
## 212 23.98 19.3
## 213 16.03 22.4
## 214  9.38 28.1
## 215 29.55 23.7
## 216  9.47 25.0
## 217 13.51 23.3
## 218  9.69 28.7
## 219 17.92 21.5
## 220 10.50 23.0
## 221  9.71 26.7
## 222 21.46 21.7
## 223  9.93 27.5
## 224  7.60 30.1
## 225  4.14 44.8
## 226  4.63 50.0
## 227  3.13 37.6
## 228  6.36 31.6
## 229  3.92 46.7
## 230  3.76 31.5
## 231 11.65 24.3
## 232  5.25 31.7
## 233  2.47 41.7
## 234  3.95 48.3
## 235  8.05 29.0
## 236 10.88 24.0
## 237  9.54 25.1
## 238  4.73 31.5
## 239  6.36 23.7
## 240  7.37 23.3
## 241 11.38 22.0
## 242 12.40 20.1
## 243 11.22 22.2
## 244  5.19 23.7
## 245 12.50 17.6
## 246 18.46 18.5
## 247  9.16 24.3
## 248 10.15 20.5
## 249  9.52 24.5
## 250  6.56 26.2
## 251  5.90 24.4
## 252  3.59 24.8
## 253  3.53 29.6
## 254  3.54 42.8
## 255  6.57 21.9
## 256  9.25 20.9
## 257  3.11 44.0
## 258  5.12 50.0
## 259  7.79 36.0
## 260  6.90 30.1
## 261  9.59 33.8
## 262  7.26 43.1
## 263  5.91 48.8
## 264 11.25 31.0
## 265  8.10 36.5
## 266 10.45 22.8
## 267 14.79 30.7
## 268  7.44 50.0
## 269  3.16 43.5
## 270 13.65 20.7
## 271 13.00 21.1
## 272  6.59 25.2
## 273  7.73 24.4
## 274  6.58 35.2
## 275  3.53 32.4
## 276  2.98 32.0
## 277  6.05 33.2
## 278  4.16 33.1
## 279  7.19 29.1
## 280  4.85 35.1
## 281  3.76 45.4
## 282  4.59 35.4
## 283  3.01 46.0
## 284  3.16 50.0
## 285  7.85 32.2
## 286  8.23 22.0
## 287 12.93 20.1
## 288  7.14 23.2
## 289  7.60 22.3
## 290  9.51 24.8
## 291  3.33 28.5
## 292  3.56 37.3
## 293  4.70 27.9
## 294  8.58 23.9
## 295 10.40 21.7
## 296  6.27 28.6
## 297  7.39 27.1
## 298 15.84 20.3
## 299  4.97 22.5
## 300  4.74 29.0
## 301  6.07 24.8
## 302  9.50 22.0
## 303  8.67 26.4
## 304  4.86 33.1
## 305  6.93 36.1
## 306  8.93 28.4
## 307  6.47 33.4
## 308  7.53 28.2
## 309  4.54 22.8
## 310  9.97 20.3
## 311 12.64 16.1
## 312  5.98 22.1
## 313 11.72 19.4
## 314  7.90 21.6
## 315  9.28 23.8
## 316 11.50 16.2
## 317 18.33 17.8
## 318 15.94 19.8
## 319 10.36 23.1
## 320 12.73 21.0
## 321  7.20 23.8
## 322  6.87 23.1
## 323  7.70 20.4
## 324 11.74 18.5
## 325  6.12 25.0
## 326  5.08 24.6
## 327  6.15 23.0
## 328 12.79 22.2
## 329  9.97 19.3
## 330  7.34 22.6
## 331  9.09 19.8
## 332 12.43 17.1
## 333  7.83 19.4
## 334  5.68 22.2
## 335  6.75 20.7
## 336  8.01 21.1
## 337  9.80 19.5
## 338 10.56 18.5
## 339  8.51 20.6
## 340  9.74 19.0
## 341  9.29 18.7
## 342  5.49 32.7
## 343  8.65 16.5
## 344  7.18 23.9
## 345  4.61 31.2
## 346 10.53 17.5
## 347 12.67 17.2
## 348  6.36 23.1
## 349  5.99 24.5
## 350  5.89 26.6
## 351  5.98 22.9
## 352  5.49 24.1
## 353  7.79 18.6
## 354  4.50 30.1
## 355  8.05 18.2
## 356  5.57 20.6
## 357 17.60 17.8
## 358 13.27 21.7
## 359 11.48 22.7
## 360 12.67 22.6
## 361  7.79 25.0
## 362 14.19 19.9
## 363 10.19 20.8
## 364 14.64 16.8
## 365  5.29 21.9
## 366  7.12 27.5
## 367 14.00 21.9
## 368 13.33 23.1
## 369  3.26 50.0
## 370  3.73 50.0
## 371  2.96 50.0
## 372  9.53 50.0
## 373  8.88 50.0
## 374 34.77 13.8
## 375 37.97 13.8
## 376 13.44 15.0
## 377 23.24 13.9
## 378 21.24 13.3
## 379 23.69 13.1
## 380 21.78 10.2
## 381 17.21 10.4
## 382 21.08 10.9
## 383 23.60 11.3
## 384 24.56 12.3
## 385 30.63  8.8
## 386 30.81  7.2
## 387 28.28 10.5
## 388 31.99  7.4
## 389 30.62 10.2
## 390 20.85 11.5
## 391 17.11 15.1
## 392 18.76 23.2
## 393 25.68  9.7
## 394 15.17 13.8
## 395 16.35 12.7
## 396 17.12 13.1
## 397 19.37 12.5
## 398 19.92  8.5
## 399 30.59  5.0
## 400 29.97  6.3
## 401 26.77  5.6
## 402 20.32  7.2
## 403 20.31 12.1
## 404 19.77  8.3
## 405 27.38  8.5
## 406 22.98  5.0
## 407 23.34 11.9
## 408 12.13 27.9
## 409 26.40 17.2
## 410 19.78 27.5
## 411 10.11 15.0
## 412 21.22 17.2
## 413 34.37 17.9
## 414 20.08 16.3
## 415 36.98  7.0
## 416 29.05  7.2
## 417 25.79  7.5
## 418 26.64 10.4
## 419 20.62  8.8
## 420 22.74  8.4
## 421 15.02 16.7
## 422 15.70 14.2
## 423 14.10 20.8
## 424 23.29 13.4
## 425 17.16 11.7
## 426 24.39  8.3
## 427 15.69 10.2
## 428 14.52 10.9
## 429 21.52 11.0
## 430 24.08  9.5
## 431 17.64 14.5
## 432 19.69 14.1
## 433 12.03 16.1
## 434 16.22 14.3
## 435 15.17 11.7
## 436 23.27 13.4
## 437 18.05  9.6
## 438 26.45  8.7
## 439 34.02  8.4
## 440 22.88 12.8
## 441 22.11 10.5
## 442 19.52 17.1
## 443 16.59 18.4
## 444 18.85 15.4
## 445 23.79 10.8
## 446 23.98 11.8
## 447 17.79 14.9
## 448 16.44 12.6
## 449 18.13 14.1
## 450 19.31 13.0
## 451 17.44 13.4
## 452 17.73 15.2
## 453 17.27 16.1
## 454 16.74 17.8
## 455 18.71 14.9
## 456 18.13 14.1
## 457 19.01 12.7
## 458 16.94 13.5
## 459 16.23 14.9
## 460 14.70 20.0
## 461 16.42 16.4
## 462 14.65 17.7
## 463 13.99 19.5
## 464 10.29 20.2
## 465 13.22 21.4
## 466 14.13 19.9
## 467 17.15 19.0
## 468 21.32 19.1
## 469 18.13 19.1
## 470 14.76 20.1
## 471 16.29 19.9
## 472 12.87 19.6
## 473 14.36 23.2
## 474 11.66 29.8
## 475 18.14 13.8
## 476 24.10 13.3
## 477 18.68 16.7
## 478 24.91 12.0
## 479 18.03 14.6
## 480 13.11 21.4
## 481 10.74 23.0
## 482  7.74 23.7
## 483  7.01 25.0
## 484 10.42 21.8
## 485 13.34 20.6
## 486 10.58 21.2
## 487 14.98 19.1
## 488 11.45 20.6
## 489 18.06 15.2
## 490 23.97  7.0
## 491 29.68  8.1
## 492 18.07 13.6
## 493 13.35 20.1
## 494 12.01 21.8
## 495 13.59 24.5
## 496 17.60 23.1
## 497 21.14 19.7
## 498 14.10 18.3
## 499 12.92 21.2
## 500 15.10 17.5
## 501 14.33 16.8
## 502  9.67 22.4
## 503  9.08 20.6
## 504  5.64 23.9
## 505  6.48 22.0
## 506  7.88 11.9
require(fuzzyreg)
## Loading required package: fuzzyreg
data(fuzzydat)
fuzzydat
## $lee
##     x  y
## 1   1 21
## 2   2 20
## 3   3 30
## 4   4 26
## 5   5 31
## 6   6 37
## 7   7 35
## 8   8 40
## 9   9 49
## 10 10 45
## 11 11 53
## 12 12 35
## 13 13 52
## 14 14 60
## 15 15 62
## 
## $dia
##    x   y   yl
## 1 21 4.0 0.80
## 2 15 3.0 0.30
## 3 15 3.5 0.35
## 4  9 2.0 0.40
## 5 12 3.0 0.45
## 6 18 3.5 0.70
## 7  6 2.5 0.38
## 8 12 2.5 0.50
## 
## $hun
##     x    y  yl
## 1   1  8.0 1.8
## 2   2  6.4 2.2
## 3   3  9.5 2.6
## 4   4 13.5 2.6
## 5   5 13.0 2.4
## 6   6 15.2 2.3
## 7   7 17.0 2.2
## 8   8 19.3 4.8
## 9   9 20.1 1.9
## 10 10 24.3 2.0
## 
## $nas
##   x xl    y  yl
## 1 1  0  6.4 2.2
## 2 2  0  8.0 1.8
## 3 3  0 16.5 2.6
## 4 4  0 11.5 2.6
## 5 5  0 13.0 2.4
## 
## $tan
##   x    y  yl  yr
## 1 1  8.0 1.8 1.8
## 2 2  6.4 2.2 2.2
## 3 3  9.5 2.6 2.6
## 4 4 13.5 2.6 2.6
## 5 5 13.0 2.4 2.4

Selanjutnya, Masukan data dan jalankan regresi linier fuzzy menggunakan fungsi pembungkus fuzzylm yang mensimulasikan fungsionalitas yang sudah ada dari fungsi regresi dan menggunakan rumus dan argumen data.

MENGGUNAKAN DATA BOSTON

db = fuzzylm(medv ~ rm, data = Boston)
print(db)
## 
## Fuzzy linear model using the PLRLS method
## 
## Call:
## fuzzylm(formula = medv ~ rm, data = Boston)
## 
## Coefficients in form of non-symmetric triangular fuzzy numbers:
## 
##                 center   left.spread right.spread
## (Intercept) -23.309975 -3.725290e-09     37.02769
## rm            7.300258  2.757354e+00      0.00000

MENGGUNAKAN DATA Fuzzydat$lee

f = fuzzylm(y ~ x, data = fuzzydat$lee)
print(f)
## 
## Fuzzy linear model using the PLRLS method
## 
## Call:
## fuzzylm(formula = y ~ x, data = fuzzydat$lee)
## 
## Coefficients in form of non-symmetric triangular fuzzy numbers:
## 
##                center left.spread right.spread
## (Intercept) 17.761911   0.7619108    2.7380892
## x            2.746428   1.2464280    0.4202387

PLOT DATA BOSTON

 plot(db, res = 20, col = "lightblue", main = "PLRLS")

PLOT DATA FUZZYDAT$lee

 plot(f, res = 20, col = "lightblue", main = "PLRLS")

Kecenderungan sentral (garis tebal) dalam kombinasi dengan sebaran kiri dan kanan menentukan interval dukungan (garis putus-putus) dari nilai yang mungkin, yaitu nilai dengan derajat keanggotaan bukan nol, dari prediksi model. Sebaran kiri dan kanan masing-masing menentukan batas bawah dan atas interval, di mana derajat keanggotaan sama dengan 0. Kita dapat menampilkan model dengan fungsi summary().

SUMMARY DATA BOSTON

 summary(db)
## 
## Central tendency of the fuzzy regression model:
## -23.31 + 7.3003 * rm
## 
## Lower boundary of the model support interval:
## -23.31 + 4.5429 * rm
## 
## Upper boundary of the model support interval:
## 13.7177 + 7.3003 * rm
## 
## The total error of fit: 13752178518
## The mean squared distance between response and prediction: 1817.03

SUMMARY DATA Fuzzydat$lee

 summary(f)
## 
## Central tendency of the fuzzy regression model:
## 17.7619 + 2.7464 * x
## 
## Lower boundary of the model support interval:
## 17 + 1.5 * x
## 
## Upper boundary of the model support interval:
## 20.5 + 3.1666 * x
## 
## The total error of fit: 126248409
## The mean squared distance between response and prediction: 262.1

Argumen rumus yang digunakan untuk memanggil regresi fuzzy dengan fungsi fuzzylm() akan berhubungan y ∼ x (tergantung kolom Data yang digunakan). Kolom x dan y berisi nilai sentral dari variabel. Spread tidak termasuk dalam formula. Untuk menghitung regresi fuzzy dari TFN, daftarkan nama kolom dengan spread sebagai karakter vektor dalam argumen masing-masing fungsi fuzzylm.

Pemanggilan ke metode yang menganalisis TFN non-simetris harus menyertakan kedua argumen masing-masing untuk spread kiri dan kanan. Argumen yang menentukan spread untuk variabel dependen adalah fuzzy.left.y dan fuzzy.right.y. Namun, jika kita ingin menganalisis TFN simetris menggunakan metode untuk TFN non simetris, kedua argumen dapat memanggil kolom yang sama dengan nilai untuk spread.

RUNNING FUZZY LINEAR REGRESSION DATA BOSTON

db2 = fuzzylm(formula = medv ~ rm, data = Boston, fuzzy.left.x = "rm",fuzzy.left.y = "medv", method = "plr")
## Warning in fuzzylm(formula = medv ~ rm, data = Boston, fuzzy.left.x = "rm", :
## fuzzy spreads detected - assuming same variable order as in formula
db3 = fuzzylm(formula = medv ~ rm, data = Boston, fuzzy.left.y = "rm",fuzzy.right.y = "medv", method = "fls")
## Warning in fuzzylm(formula = medv ~ rm, data = Boston, fuzzy.left.y = "rm", :
## fuzzy spreads detected - assuming same variable order as in formula

RUNNING FUZZY LINEAR REGRESSION DATA Fuzzydat$lee

f2 = fuzzylm(formula = y ~ x, data = fuzzydat$lee, fuzzy.left.x = "x",fuzzy.left.y = "y", method = "plr")
## Warning in fuzzylm(formula = y ~ x, data = fuzzydat$lee, fuzzy.left.x = "x", :
## fuzzy spreads detected - assuming same variable order as in formula
f3 = fuzzylm(formula = y ~ x, data = fuzzydat$lee, fuzzy.left.y = "y",fuzzy.right.y = "x", method = "fls")
## Warning in fuzzylm(formula = y ~ x, data = fuzzydat$lee, fuzzy.left.y = "y", :
## fuzzy spreads detected - assuming same variable order as in formula

“PREDIKSI DATA BOSTON MENGGUNAKAN METHOD PLRLS”

preddb = predict(db)
preddb$y
##        central value left spread right spread
##   [1,]     24.689219   18.129600     37.02769
##   [2,]     23.564979   17.704968     37.02769
##   [3,]     29.142376   19.811586     37.02769
##   [4,]     27.777228   19.295961     37.02769
##   [5,]     28.864966   19.706806     37.02769
##   [6,]     23.630682   17.729784     37.02769
##   [7,]     20.579174   16.577210     37.02769
##   [8,]     21.747215   17.018387     37.02769
##   [9,]     17.797776   15.526658     37.02769
##  [10,]     20.520772   16.555151     37.02769
##  [11,]     23.243768   17.583644     37.02769
##  [12,]     20.557273   16.568938     37.02769
##  [13,]     19.681242   16.238055     37.02769
##  [14,]     20.119258   16.403497     37.02769
##  [15,]     21.192395   16.808828     37.02769
##  [16,]     19.279728   16.086401     37.02769
##  [17,]     20.017054   16.364894     37.02769
##  [18,]     20.418568   16.516548     37.02769
##  [19,]     16.520231   15.044121     37.02769
##  [20,]     18.498600   15.791364     37.02769
##  [21,]     17.352460   15.358460     37.02769
##  [22,]     20.236062   16.447614     37.02769
##  [23,]     21.528207   16.935666     37.02769
##  [24,]     19.126423   16.028497     37.02769
##  [25,]     19.936751   16.334563     37.02769
##  [26,]     17.564167   15.438423     37.02769
##  [27,]     19.126423   16.028497     37.02769
##  [28,]     20.834683   16.673717     37.02769
##  [29,]     24.105198   17.909012     37.02769
##  [30,]     25.411944   18.402578     37.02769
##  [31,]     18.396397   15.752761     37.02769
##  [32,]     21.017189   16.742651     37.02769
##  [33,]     20.126558   16.406254     37.02769
##  [34,]     18.308794   15.719673     37.02769
##  [35,]     21.192395   16.808828     37.02769
##  [36,]     20.002453   16.359379     37.02769
##  [37,]     19.330830   16.105702     37.02769
##  [38,]     19.396532   16.130519     37.02769
##  [39,]     20.243362   16.450372     37.02769
##  [40,]     24.835224   18.184747     37.02769
##  [41,]     27.967035   19.367652     37.02769
##  [42,]     26.112769   18.667284     37.02769
##  [43,]     21.725314   17.010114     37.02769
##  [44,]     22.031925   17.125923     37.02769
##  [45,]     20.995289   16.734379     37.02769
##  [46,]     18.170089   15.667283     37.02769
##  [47,]     18.929316   15.954048     37.02769
##  [48,]     20.710578   16.626842     37.02769
##  [49,]     16.104116   14.886952     37.02769
##  [50,]     17.586068   15.446695     37.02769
##  [51,]     20.221461   16.442100     37.02769
##  [52,]     21.331100   16.861217     37.02769
##  [53,]     24.222002   17.953129     37.02769
##  [54,]     20.476970   16.538607     37.02769
##  [55,]     19.673942   16.235298     37.02769
##  [56,]     29.609593   19.988056     37.02769
##  [57,]     23.287569   17.600188     37.02769
##  [58,]     26.448581   18.794122     37.02769
##  [59,]     21.550108   16.943938     37.02769
##  [60,]     19.958652   16.342835     37.02769
##  [61,]     18.600804   15.829967     37.02769
##  [62,]     20.243362   16.450372     37.02769
##  [63,]     23.820488   17.801475     37.02769
##  [64,]     26.054367   18.645225     37.02769
##  [65,]     28.551055   19.588240     37.02769
##  [66,]     22.608645   17.343754     37.02769
##  [67,]     18.936616   15.956805     37.02769
##  [68,]     19.600939   16.207725     37.02769
##  [69,]     17.527666   15.424636     37.02769
##  [70,]     19.652041   16.227026     37.02769
##  [71,]     23.535778   17.693938     37.02769
##  [72,]     20.206861   16.436585     37.02769
##  [73,]     20.966087   16.723350     37.02769
##  [74,]     22.280134   17.219673     37.02769
##  [75,]     22.484541   17.296879     37.02769
##  [76,]     22.579444   17.332725     37.02769
##  [77,]     22.528343   17.313423     37.02769
##  [78,]     21.513607   16.930151     37.02769
##  [79,]     22.185231   17.183828     37.02769
##  [80,]     19.571738   16.196695     37.02769
##  [81,]     25.798858   18.548718     37.02769
##  [82,]     25.010430   18.250924     37.02769
##  [83,]     22.696249   17.376842     37.02769
##  [84,]     21.710714   17.004600     37.02769
##  [85,]     23.331371   17.616732     37.02769
##  [86,]     25.090733   18.281254     37.02769
##  [87,]     20.601075   16.585482     37.02769
##  [88,]     21.374902   16.877761     37.02769
##  [89,]     27.842930   19.320777     37.02769
##  [90,]     28.368549   19.519306     37.02769
##  [91,]     23.535778   17.693938     37.02769
##  [92,]     23.448175   17.660850     37.02769
##  [93,]     23.718285   17.762872     37.02769
##  [94,]     22.031925   17.125923     37.02769
##  [95,]     22.309335   17.230703     37.02769
##  [96,]     25.054232   18.267468     37.02769
##  [97,]     21.681513   16.993570     37.02769
##  [98,]     35.595804   22.249086     37.02769
##  [99,]     33.778040   21.562505     37.02769
## [100,]     30.828736   20.448534     37.02769
## [101,]     25.798858   18.548718     37.02769
## [102,]     26.193072   18.697615     37.02769
## [103,]     23.448175   17.660850     37.02769
## [104,]     21.491706   16.921879     37.02769
## [105,]     21.710714   17.004600     37.02769
## [106,]     19.403832   16.133276     37.02769
## [107,]     19.294328   16.091916     37.02769
## [108,]     21.418703   16.894306     37.02769
## [109,]     23.951893   17.851107     37.02769
## [110,]     22.163330   17.175556     37.02769
## [111,]     21.915121   17.081806     37.02769
## [112,]     25.711255   18.515630     37.02769
## [113,]     19.856448   16.304232     37.02769
## [114,]     21.163194   16.797798     37.02769
## [115,]     22.345836   17.244490     37.02769
## [116,]     19.965952   16.345592     37.02769
## [117,]     21.776416   17.029416     37.02769
## [118,]     20.644876   16.602026     37.02769
## [119,]     19.557138   16.191180     37.02769
## [120,]     18.527801   15.802394     37.02769
## [121,]     19.542537   16.185666     37.02769
## [122,]     20.520772   16.555151     37.02769
## [123,]     20.206861   16.436585     37.02769
## [124,]     19.440334   16.147063     37.02769
## [125,]     19.608240   16.210482     37.02769
## [126,]     20.389367   16.505519     37.02769
## [127,]     17.666371   15.477026     37.02769
## [128,]     18.250392   15.697614     37.02769
## [129,]     23.637982   17.732541     37.02769
## [130,]     17.841577   15.543202     37.02769
## [131,]     23.835089   17.806990     37.02769
## [132,]     22.871455   17.443019     37.02769
## [133,]     23.207267   17.569857     37.02769
## [134,]     19.192125   16.053313     37.02769
## [135,]     18.717608   15.874085     37.02769
## [136,]     22.937157   17.467835     37.02769
## [137,]     20.068156   16.384195     37.02769
## [138,]     23.805888   17.795960     37.02769
## [139,]     19.447634   16.149820     37.02769
## [140,]     21.593910   16.960482     37.02769
## [141,]     21.761816   17.023901     37.02769
## [142,]     13.330018   13.839158     37.02769
## [143,]     16.133317   14.897982     37.02769
## [144,]     16.607834   15.077210     37.02769
## [145,]     12.483188   13.519305     37.02769
## [146,]     21.440604   16.902578     37.02769
## [147,]     17.775875   15.518386     37.02769
## [148,]     12.651094   13.582724     37.02769
## [149,]     14.549161   14.299636     37.02769
## [150,]     17.549567   15.432908     37.02769
## [151,]     21.382202   16.880519     37.02769
## [152,]     16.140617   14.900739     37.02769
## [153,]     13.278916   13.819856     37.02769
## [154,]     18.367196   15.741732     37.02769
## [155,]     21.433304   16.899820     37.02769
## [156,]     21.601210   16.963239     37.02769
## [157,]     15.176983   14.536768     37.02769
## [158,]     27.375714   19.144306     37.02769
## [159,]     20.973388   16.726107     37.02769
## [160,]     24.214702   17.950372     37.02769
## [161,]     22.316635   17.233460     37.02769
## [162,]     31.361654   20.649821     37.02769
## [163,]     33.646635   21.512873     37.02769
## [164,]     37.829683   23.092837     37.02769
## [165,]     19.425733   16.141548     37.02769
## [166,]     21.228897   16.822614     37.02769
## [167,]     34.573768   21.863057     37.02769
## [168,]     19.593639   16.204967     37.02769
## [169,]     22.820353   17.423718     37.02769
## [170,]     23.426274   17.652578     37.02769
## [171,]     19.579039   16.199452     37.02769
## [172,]     19.615540   16.213239     37.02769
## [173,]     17.367060   15.363974     37.02769
## [174,]     23.528478   17.691181     37.02769
## [175,]     19.462234   16.155335     37.02769
## [176,]     24.477511   18.049637     37.02769
## [177,]     20.637576   16.599269     37.02769
## [178,]     22.791152   17.412688     37.02769
## [179,]     26.769792   18.915446     37.02769
## [180,]     27.645823   19.246328     37.02769
## [181,]     33.376525   21.410851     37.02769
## [182,]     21.542808   16.941181     37.02769
## [183,]     28.923368   19.728865     37.02769
## [184,]     24.601616   18.096512     37.02769
## [185,]     17.600669   15.452210     37.02769
## [186,]     21.608510   16.965997     37.02769
## [187,]     33.858343   21.592836     37.02769
## [188,]     26.200372   18.700372     37.02769
## [189,]     24.550514   18.077210     37.02769
## [190,]     29.142376   19.811586     37.02769
## [191,]     27.434116   19.166365     37.02769
## [192,]     25.886461   18.581806     37.02769
## [193,]     29.091274   19.792284     37.02769
## [194,]     26.331777   18.750005     37.02769
## [195,]     24.900926   18.209563     37.02769
## [196,]     34.179554   21.714160     37.02769
## [197,]     29.887002   20.092836     37.02769
## [198,]     28.572956   19.596512     37.02769
## [199,]     29.792099   20.056990     37.02769
## [200,]     27.609322   19.232541     37.02769
## [201,]     28.777363   19.673718     37.02769
## [202,]     21.674212   16.990813     37.02769
## [203,]     32.244986   20.983461     37.02769
## [204,]     34.018948   21.653498     37.02769
## [205,]     35.340295   22.152579     37.02769
## [206,]     19.695843   16.243570     37.02769
## [207,]     22.871455   17.443019     37.02769
## [208,]     18.907415   15.945776     37.02769
## [209,]     20.958787   16.720592     37.02769
## [210,]     15.702602   14.735298     37.02769
## [211,]     20.199560   16.433828     37.02769
## [212,]     16.140617   14.900739     37.02769
## [213,]     19.082621   16.011952     37.02769
## [214,]     23.229167   17.578129     37.02769
## [215,]     16.199019   14.922798     37.02769
## [216,]     21.820218   17.045960     37.02769
## [217,]     19.673942   16.235298     37.02769
## [218,]     25.178336   18.314343     37.02769
## [219,]     20.133858   16.409011     37.02769
## [220,]     23.214567   17.572615     37.02769
## [221,]     27.434116   19.166365     37.02769
## [222,]     21.688813   16.996328     37.02769
## [223,]     26.908497   18.967836     37.02769
## [224,]     25.003130   18.248166     37.02769
## [225,]     37.033955   22.792285     37.02769
## [226,]     40.384773   24.057910     37.02769
## [227,]     35.384096   22.169123     37.02769
## [228,]     28.981770   19.750924     37.02769
## [229,]     32.799805   21.193020     37.02769
## [230,]     24.521313   18.066181     37.02769
## [231,]     20.352866   16.491732     37.02769
## [232,]     30.799535   20.437505     37.02769
## [233,]     37.552273   22.988057     37.02769
## [234,]     36.895250   22.739895     37.02769
## [235,]     25.791558   18.545960     37.02769
## [236,]     21.119393   16.781254     37.02769
## [237,]     25.098033   18.284012     37.02769
## [238,]     30.405321   20.288608     37.02769
## [239,]     24.002995   17.870409     37.02769
## [240,]     24.915527   18.215078     37.02769
## [241,]     27.039902   19.017468     37.02769
## [242,]     21.185095   16.806070     37.02769
## [243,]     23.105063   17.531254     37.02769
## [244,]     23.360572   17.627762     37.02769
## [245,]     17.520366   15.421879     37.02769
## [246,]     17.607969   15.454967     37.02769
## [247,]     21.279999   16.841916     37.02769
## [248,]     22.141429   17.167284     37.02769
## [249,]     23.652582   17.738056     37.02769
## [250,]     25.733156   18.523902     37.02769
## [251,]     24.046796   17.886953     37.02769
## [252,]     23.689084   17.751843     37.02769
## [253,]     27.477917   19.182909     37.02769
## [254,]     36.982853   22.772984     37.02769
## [255,]     21.279999   16.841916     37.02769
## [256,]     19.586339   16.202210     37.02769
## [257,]     31.106145   20.553314     37.02769
## [258,]     40.231467   24.000006     37.02769
## [259,]     30.222814   20.219674     37.02769
## [260,]     26.638388   18.865813     37.02769
## [261,]     29.273781   19.861218     37.02769
## [262,]     31.587962   20.735299     37.02769
## [263,]     37.997589   23.156256     37.02769
## [264,]     30.179013   20.203130     37.02769
## [265,]     29.295681   19.869490     37.02769
## [266,]     17.279457   15.330886     37.02769
## [267,]     27.894032   19.340078     37.02769
## [268,]     37.260263   22.877763     37.02769
## [269,]     31.222949   20.597432     37.02769
## [270,]     19.907550   16.323533     37.02769
## [271,]     19.440334   16.147063     37.02769
## [272,]     22.243633   17.205887     37.02769
## [273,]     24.419109   18.027578     37.02769
## [274,]     32.836306   21.206807     37.02769
## [275,]     26.025166   18.634196     37.02769
## [276,]     26.725991   18.898902     37.02769
## [277,]     29.740997   20.037689     37.02769
## [278,]     26.521584   18.821696     37.02769
## [279,]     24.010295   17.873166     37.02769
## [280,]     26.419380   18.783093     37.02769
## [281,]     33.778040   21.562505     37.02769
## [282,]     27.558220   19.213240     37.02769
## [283,]     32.500495   21.079968     37.02769
## [284,]     34.529966   21.846513     37.02769
## [285,]     28.434251   19.544122     37.02769
## [286,]     23.798587   17.793203     37.02769
## [287,]     22.170630   17.178313     37.02769
## [288,]     22.017325   17.120409     37.02769
## [289,]     22.791152   17.412688     37.02769
## [290,]     24.616216   18.102026     37.02769
## [291,]     26.777093   18.918203     37.02769
## [292,]     28.872267   19.709564     37.02769
## [293,]     25.090733   18.281254     37.02769
## [294,]     21.418703   16.894306     37.02769
## [295,]     20.557273   16.568938     37.02769
## [296,]     25.441145   18.413607     37.02769
## [297,]     24.499412   18.057909     37.02769
## [298,]     18.958517   15.965077     37.02769
## [299,]     23.010160   17.495409     37.02769
## [300,]     28.091139   19.414527     37.02769
## [301,]     26.850095   18.945777     37.02769
## [302,]     24.798723   18.170960     37.02769
## [303,]     24.105198   17.909012     37.02769
## [304,]     27.660424   19.251843     37.02769
## [305,]     29.514689   19.952211     37.02769
## [306,]     24.988529   18.242652     37.02769
## [307,]     30.857937   20.459564     37.02769
## [308,]     26.689489   18.885115     37.02769
## [309,]     25.127234   18.295041     37.02769
## [310,]     20.287164   16.466916     37.02769
## [311,]     12.994206   13.712320     37.02769
## [312,]     21.382202   16.880519     37.02769
## [313,]     20.659477   16.607541     37.02769
## [314,]     22.433439   17.277578     37.02769
## [315,]     24.630817   18.107541     37.02769
## [316,]     18.337995   15.730702     37.02769
## [317,]     19.863749   16.306989     37.02769
## [318,]     18.900115   15.943019     37.02769
## [319,]     23.280269   17.597431     37.02769
## [320,]     21.316500   16.855703     37.02769
## [321,]     23.601481   17.718754     37.02769
## [322,]     23.236468   17.580887     37.02769
## [323,]     20.790881   16.657173     37.02769
## [324,]     18.359896   15.738974     37.02769
## [325,]     23.521178   17.688423     37.02769
## [326,]     23.637982   17.732541     37.02769
## [327,]     22.769251   17.404416     37.02769
## [328,]     21.097492   16.772982     37.02769
## [329,]     19.527937   16.180151     37.02769
## [330,]     22.922557   17.462320     37.02769
## [331,]     21.542808   16.941181     37.02769
## [332,]     18.345295   15.733460     37.02769
## [333,]     20.717879   16.629600     37.02769
## [334,]     22.798452   17.415445     37.02769
## [335,]     22.754651   17.398901     37.02769
## [336,]     20.761680   16.646144     37.02769
## [337,]     19.535237   16.182908     37.02769
## [338,]     19.725044   16.254600     37.02769
## [339,]     20.922286   16.706806     37.02769
## [340,]     20.382067   16.502761     37.02769
## [341,]     20.257963   16.455886     37.02769
## [342,]     29.551190   19.965998     37.02769
## [343,]     24.433710   18.033093     37.02769
## [344,]     25.572550   18.463240     37.02769
## [345,]     26.871996   18.954049     37.02769
## [346,]     20.593774   16.582725     37.02769
## [347,]     19.746944   16.262872     37.02769
## [348,]     24.258504   17.966916     37.02769
## [349,]     25.127234   18.295041     37.02769
## [350,]     27.346513   19.133277     37.02769
## [351,]     24.068697   17.895225     37.02769
## [352,]     24.718420   18.140629     37.02769
## [353,]     19.644741   16.224269     37.02769
## [354,]     25.806158   18.551475     37.02769
## [355,]     18.031384   15.614894     37.02769
## [356,]     20.024354   16.367651     37.02769
## [357,]     22.039225   17.128681     37.02769
## [358,]     23.375173   17.633276     37.02769
## [359,]     21.418703   16.894306     37.02769
## [360,]     21.309200   16.852945     37.02769
## [361,]     23.397073   17.641548     37.02769
## [362,]     22.323935   17.236217     37.02769
## [363,]     15.834006   14.784930     37.02769
## [364,]     19.053420   16.000923     37.02769
## [365,]     40.786287   24.209565     37.02769
## [366,]      2.686242    9.818936     37.02769
## [367,]     12.921204   13.684746     37.02769
## [368,]      4.890920   10.651657     37.02769
## [369,]     12.972305   13.704047     37.02769
## [370,]     25.477647   18.427394     37.02769
## [371,]     27.908633   19.345593     37.02769
## [372,]     22.068426   17.139710     37.02769
## [373,]     19.579039   16.199452     37.02769
## [374,]     12.505089   13.527577     37.02769
## [375,]      6.898491   11.409929     37.02769
## [376,]     30.076809   20.164527     37.02769
## [377,]     25.229438   18.333644     37.02769
## [378,]     26.287975   18.733460     37.02769
## [379,]     23.265669   17.591916     37.02769
## [380,]     22.119528   17.159012     37.02769
## [381,]     27.558220   19.213240     37.02769
## [382,]     24.470211   18.046879     37.02769
## [383,]     17.104251   15.264710     37.02769
## [384,]     16.987447   15.220592     37.02769
## [385,]      8.577550   12.044121     37.02769
## [386,]     15.213484   14.550555     37.02769
## [387,]     10.650823   12.827209     37.02769
## [388,]     13.191313   13.786768     37.02769
## [389,]     12.315282   13.455886     37.02769
## [390,]     16.038414   14.862136     37.02769
## [391,]     18.396397   15.752761     37.02769
## [392,]     20.863884   16.684747     37.02769
## [393,]     13.454122   13.886033     37.02769
## [394,]     21.900520   17.076291     37.02769
## [395,]     19.666642   16.232541     37.02769
## [396,]     23.929992   17.842835     37.02769
## [397,]     23.448175   17.660850     37.02769
## [398,]     18.644606   15.846511     37.02769
## [399,]     16.498330   15.035849     37.02769
## [400,]     19.411133   16.136033     37.02769
## [401,]     20.396667   16.508276     37.02769
## [402,]     22.995559   17.489894     37.02769
## [403,]     23.440875   17.658093     37.02769
## [404,]     15.739103   14.749084     37.02769
## [405,]     17.067750   15.250923     37.02769
## [406,]     18.177389   15.670041     37.02769
## [407,]      6.898491   11.409929     37.02769
## [408,]     17.629870   15.463239     37.02769
## [409,]     17.695572   15.488055     37.02769
## [410,]     26.711390   18.893387     37.02769
## [411,]     18.717608   15.874085     37.02769
## [412,]     25.287840   18.355703     37.02769
## [413,]     10.475617   12.761033     37.02769
## [414,]     14.322853   14.214158     37.02769
## [415,]      9.679889   12.460481     37.02769
## [416,]     23.659883   17.740813     37.02769
## [417,]     26.200372   18.700372     37.02769
## [418,]     15.410591   14.625004     37.02769
## [419,]     20.177660   16.425555     37.02769
## [420,]     26.506983   18.816181     37.02769
## [421,]     23.491977   17.677394     37.02769
## [422,]     20.535372   16.560666     37.02769
## [423,]     17.921880   15.573533     37.02769
## [424,]     21.243497   16.828129     37.02769
## [425,]     17.315959   15.344673     37.02769
## [426,]     19.732344   16.257357     37.02769
## [427,]     19.301629   16.094673     37.02769
## [428,]     21.966223   17.101107     37.02769
## [429,]     21.900520   17.076291     37.02769
## [430,]     23.265669   17.591916     37.02769
## [431,]     23.032060   17.503681     37.02769
## [432,]     26.572685   18.840997     37.02769
## [433,]     23.594180   17.715997     37.02769
## [434,]     23.674483   17.746328     37.02769
## [435,]     22.010024   17.117651     37.02769
## [436,]     25.083433   18.278497     37.02769
## [437,]     23.856990   17.815262     37.02769
## [438,]     21.601210   16.963239     37.02769
## [439,]     20.017054   16.364894     37.02769
## [440,]     17.768575   15.515629     37.02769
## [441,]     19.162924   16.042283     37.02769
## [442,]     23.455475   17.663607     37.02769
## [443,]     22.090327   17.147982     37.02769
## [444,]     24.032196   17.881438     37.02769
## [445,]     19.425733   16.141548     37.02769
## [446,]     23.842389   17.809747     37.02769
## [447,]     22.980959   17.484379     37.02769
## [448,]     22.323935   17.236217     37.02769
## [449,]     21.842118   17.054232     37.02769
## [450,]     23.535778   17.693938     37.02769
## [451,]     25.959464   18.609380     37.02769
## [452,]     25.273240   18.350188     37.02769
## [453,]     22.659747   17.363056     37.02769
## [454,]     30.660830   20.385115     37.02769
## [455,]     25.806158   18.551475     37.02769
## [456,]     24.324206   17.991732     37.02769
## [457,]     20.316365   16.477945     37.02769
## [458,]     20.024354   16.367651     37.02769
## [459,]     22.688948   17.374085     37.02769
## [460,]     21.082892   16.767467     37.02769
## [461,]     25.609051   18.477027     37.02769
## [462,]     23.236468   17.580887     37.02769
## [463,]     22.805752   17.418203     37.02769
## [464,]     24.236603   17.958644     37.02769
## [465,]     22.017325   17.120409     37.02769
## [466,]     18.732209   15.879599     37.02769
## [467,]     20.141158   16.411769     37.02769
## [468,]     20.513472   16.552394     37.02769
## [469,]     19.951352   16.340078     37.02769
## [470,]     18.396397   15.752761     37.02769
## [471,]     21.710714   17.004600     37.02769
## [472,]     22.163330   17.175556     37.02769
## [473,]     23.681783   17.749085     37.02769
## [474,]     27.645823   19.246328     37.02769
## [475,]     16.308523   14.964158     37.02769
## [476,]     21.674212   16.990813     37.02769
## [477,]     24.024895   17.878681     37.02769
## [478,]     15.410591   14.625004     37.02769
## [479,]     21.842118   17.054232     37.02769
## [480,]     22.163330   17.175556     37.02769
## [481,]     22.258233   17.211401     37.02769
## [482,]     25.966764   18.612137     37.02769
## [483,]     28.237144   19.469674     37.02769
## [484,]     18.754109   15.887872     37.02769
## [485,]     19.549838   16.188423     37.02769
## [486,]     22.769251   17.404416     37.02769
## [487,]     21.323800   16.858460     37.02769
## [488,]     19.798046   16.282173     37.02769
## [489,]     16.505630   15.038607     37.02769
## [490,]     16.213620   14.928312     37.02769
## [491,]     13.870237   14.043202     37.02769
## [492,]     20.367466   16.497247     37.02769
## [493,]     20.367466   16.497247     37.02769
## [494,]     18.352595   15.736217     37.02769
## [495,]     19.951352   16.340078     37.02769
## [496,]     18.082486   15.634195     37.02769
## [497,]     16.038414   14.862136     37.02769
## [498,]     18.987718   15.976107     37.02769
## [499,]     20.630276   16.596511     37.02769
## [500,]     17.345160   15.355702     37.02769
## [501,]     20.688678   16.618570     37.02769
## [502,]     24.820624   18.179232     37.02769
## [503,]     21.367602   16.875004     37.02769
## [504,]     27.616622   19.235299     37.02769
## [505,]     26.287975   18.733460     37.02769
## [506,]     20.710578   16.626842     37.02769

“PREDIKSI DATA BOSTON MENGGUNAKAN METHOD PLR”

preddb2 = predict(db2)
preddb2$y
##        central value left spread right spread
##   [1,]            50          50           50
##   [2,]            50          50           50
##   [3,]            50          50           50
##   [4,]            50          50           50
##   [5,]            50          50           50
##   [6,]            50          50           50
##   [7,]            50          50           50
##   [8,]            50          50           50
##   [9,]            50          50           50
##  [10,]            50          50           50
##  [11,]            50          50           50
##  [12,]            50          50           50
##  [13,]            50          50           50
##  [14,]            50          50           50
##  [15,]            50          50           50
##  [16,]            50          50           50
##  [17,]            50          50           50
##  [18,]            50          50           50
##  [19,]            50          50           50
##  [20,]            50          50           50
##  [21,]            50          50           50
##  [22,]            50          50           50
##  [23,]            50          50           50
##  [24,]            50          50           50
##  [25,]            50          50           50
##  [26,]            50          50           50
##  [27,]            50          50           50
##  [28,]            50          50           50
##  [29,]            50          50           50
##  [30,]            50          50           50
##  [31,]            50          50           50
##  [32,]            50          50           50
##  [33,]            50          50           50
##  [34,]            50          50           50
##  [35,]            50          50           50
##  [36,]            50          50           50
##  [37,]            50          50           50
##  [38,]            50          50           50
##  [39,]            50          50           50
##  [40,]            50          50           50
##  [41,]            50          50           50
##  [42,]            50          50           50
##  [43,]            50          50           50
##  [44,]            50          50           50
##  [45,]            50          50           50
##  [46,]            50          50           50
##  [47,]            50          50           50
##  [48,]            50          50           50
##  [49,]            50          50           50
##  [50,]            50          50           50
##  [51,]            50          50           50
##  [52,]            50          50           50
##  [53,]            50          50           50
##  [54,]            50          50           50
##  [55,]            50          50           50
##  [56,]            50          50           50
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##  [60,]            50          50           50
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##  [62,]            50          50           50
##  [63,]            50          50           50
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##  [65,]            50          50           50
##  [66,]            50          50           50
##  [67,]            50          50           50
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##  [70,]            50          50           50
##  [71,]            50          50           50
##  [72,]            50          50           50
##  [73,]            50          50           50
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##  [75,]            50          50           50
##  [76,]            50          50           50
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##  [78,]            50          50           50
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##  [80,]            50          50           50
##  [81,]            50          50           50
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##  [84,]            50          50           50
##  [85,]            50          50           50
##  [86,]            50          50           50
##  [87,]            50          50           50
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##  [90,]            50          50           50
##  [91,]            50          50           50
##  [92,]            50          50           50
##  [93,]            50          50           50
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##  [95,]            50          50           50
##  [96,]            50          50           50
##  [97,]            50          50           50
##  [98,]            50          50           50
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## [100,]            50          50           50
## [101,]            50          50           50
## [102,]            50          50           50
## [103,]            50          50           50
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## [106,]            50          50           50
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## [108,]            50          50           50
## [109,]            50          50           50
## [110,]            50          50           50
## [111,]            50          50           50
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## [116,]            50          50           50
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## [138,]            50          50           50
## [139,]            50          50           50
## [140,]            50          50           50
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## [143,]            50          50           50
## [144,]            50          50           50
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## [148,]            50          50           50
## [149,]            50          50           50
## [150,]            50          50           50
## [151,]            50          50           50
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## [165,]            50          50           50
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## [174,]            50          50           50
## [175,]            50          50           50
## [176,]            50          50           50
## [177,]            50          50           50
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## [180,]            50          50           50
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## [182,]            50          50           50
## [183,]            50          50           50
## [184,]            50          50           50
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## [186,]            50          50           50
## [187,]            50          50           50
## [188,]            50          50           50
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## [191,]            50          50           50
## [192,]            50          50           50
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## [194,]            50          50           50
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## [198,]            50          50           50
## [199,]            50          50           50
## [200,]            50          50           50
## [201,]            50          50           50
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## [203,]            50          50           50
## [204,]            50          50           50
## [205,]            50          50           50
## [206,]            50          50           50
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## [210,]            50          50           50
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## [212,]            50          50           50
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## [215,]            50          50           50
## [216,]            50          50           50
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## [218,]            50          50           50
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## [220,]            50          50           50
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## [222,]            50          50           50
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## [224,]            50          50           50
## [225,]            50          50           50
## [226,]            50          50           50
## [227,]            50          50           50
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## [230,]            50          50           50
## [231,]            50          50           50
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## [233,]            50          50           50
## [234,]            50          50           50
## [235,]            50          50           50
## [236,]            50          50           50
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## [238,]            50          50           50
## [239,]            50          50           50
## [240,]            50          50           50
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## [243,]            50          50           50
## [244,]            50          50           50
## [245,]            50          50           50
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## [248,]            50          50           50
## [249,]            50          50           50
## [250,]            50          50           50
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## [252,]            50          50           50
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## [254,]            50          50           50
## [255,]            50          50           50
## [256,]            50          50           50
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## [260,]            50          50           50
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## [264,]            50          50           50
## [265,]            50          50           50
## [266,]            50          50           50
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## [269,]            50          50           50
## [270,]            50          50           50
## [271,]            50          50           50
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## [273,]            50          50           50
## [274,]            50          50           50
## [275,]            50          50           50
## [276,]            50          50           50
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## [279,]            50          50           50
## [280,]            50          50           50
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## [286,]            50          50           50
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## [300,]            50          50           50
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## [310,]            50          50           50
## [311,]            50          50           50
## [312,]            50          50           50
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## [314,]            50          50           50
## [315,]            50          50           50
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## [320,]            50          50           50
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## [325,]            50          50           50
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## [330,]            50          50           50
## [331,]            50          50           50
## [332,]            50          50           50
## [333,]            50          50           50
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## [336,]            50          50           50
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## [339,]            50          50           50
## [340,]            50          50           50
## [341,]            50          50           50
## [342,]            50          50           50
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## [344,]            50          50           50
## [345,]            50          50           50
## [346,]            50          50           50
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## [349,]            50          50           50
## [350,]            50          50           50
## [351,]            50          50           50
## [352,]            50          50           50
## [353,]            50          50           50
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## [355,]            50          50           50
## [356,]            50          50           50
## [357,]            50          50           50
## [358,]            50          50           50
## [359,]            50          50           50
## [360,]            50          50           50
## [361,]            50          50           50
## [362,]            50          50           50
## [363,]            50          50           50
## [364,]            50          50           50
## [365,]            50          50           50
## [366,]            50          50           50
## [367,]            50          50           50
## [368,]            50          50           50
## [369,]            50          50           50
## [370,]            50          50           50
## [371,]            50          50           50
## [372,]            50          50           50
## [373,]            50          50           50
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## [375,]            50          50           50
## [376,]            50          50           50
## [377,]            50          50           50
## [378,]            50          50           50
## [379,]            50          50           50
## [380,]            50          50           50
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## [383,]            50          50           50
## [384,]            50          50           50
## [385,]            50          50           50
## [386,]            50          50           50
## [387,]            50          50           50
## [388,]            50          50           50
## [389,]            50          50           50
## [390,]            50          50           50
## [391,]            50          50           50
## [392,]            50          50           50
## [393,]            50          50           50
## [394,]            50          50           50
## [395,]            50          50           50
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## [397,]            50          50           50
## [398,]            50          50           50
## [399,]            50          50           50
## [400,]            50          50           50
## [401,]            50          50           50
## [402,]            50          50           50
## [403,]            50          50           50
## [404,]            50          50           50
## [405,]            50          50           50
## [406,]            50          50           50
## [407,]            50          50           50
## [408,]            50          50           50
## [409,]            50          50           50
## [410,]            50          50           50
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## [412,]            50          50           50
## [413,]            50          50           50
## [414,]            50          50           50
## [415,]            50          50           50
## [416,]            50          50           50
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## [419,]            50          50           50
## [420,]            50          50           50
## [421,]            50          50           50
## [422,]            50          50           50
## [423,]            50          50           50
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## [425,]            50          50           50
## [426,]            50          50           50
## [427,]            50          50           50
## [428,]            50          50           50
## [429,]            50          50           50
## [430,]            50          50           50
## [431,]            50          50           50
## [432,]            50          50           50
## [433,]            50          50           50
## [434,]            50          50           50
## [435,]            50          50           50
## [436,]            50          50           50
## [437,]            50          50           50
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## [439,]            50          50           50
## [440,]            50          50           50
## [441,]            50          50           50
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## [443,]            50          50           50
## [444,]            50          50           50
## [445,]            50          50           50
## [446,]            50          50           50
## [447,]            50          50           50
## [448,]            50          50           50
## [449,]            50          50           50
## [450,]            50          50           50
## [451,]            50          50           50
## [452,]            50          50           50
## [453,]            50          50           50
## [454,]            50          50           50
## [455,]            50          50           50
## [456,]            50          50           50
## [457,]            50          50           50
## [458,]            50          50           50
## [459,]            50          50           50
## [460,]            50          50           50
## [461,]            50          50           50
## [462,]            50          50           50
## [463,]            50          50           50
## [464,]            50          50           50
## [465,]            50          50           50
## [466,]            50          50           50
## [467,]            50          50           50
## [468,]            50          50           50
## [469,]            50          50           50
## [470,]            50          50           50
## [471,]            50          50           50
## [472,]            50          50           50
## [473,]            50          50           50
## [474,]            50          50           50
## [475,]            50          50           50
## [476,]            50          50           50
## [477,]            50          50           50
## [478,]            50          50           50
## [479,]            50          50           50
## [480,]            50          50           50
## [481,]            50          50           50
## [482,]            50          50           50
## [483,]            50          50           50
## [484,]            50          50           50
## [485,]            50          50           50
## [486,]            50          50           50
## [487,]            50          50           50
## [488,]            50          50           50
## [489,]            50          50           50
## [490,]            50          50           50
## [491,]            50          50           50
## [492,]            50          50           50
## [493,]            50          50           50
## [494,]            50          50           50
## [495,]            50          50           50
## [496,]            50          50           50
## [497,]            50          50           50
## [498,]            50          50           50
## [499,]            50          50           50
## [500,]            50          50           50
## [501,]            50          50           50
## [502,]            50          50           50
## [503,]            50          50           50
## [504,]            50          50           50
## [505,]            50          50           50
## [506,]            50          50           50

“PREDIKSI DATA BOSTON MENGGUNAKAN METHOD FLS”

preddb3 = predict(db3)
preddb3$y
##        central value left spread right spread
##   [1,]    25.1757458       6.575   25.1757458
##   [2,]    23.7740210       6.421   23.7740210
##   [3,]    30.7280323       7.185   30.7280323
##   [4,]    29.0259379       6.998   29.0259379
##   [5,]    30.3821521       7.147   30.3821521
##   [6,]    23.8559400       6.430   23.8559400
##   [7,]    20.0512584       6.012   20.0512584
##   [8,]    21.5075959       6.172   21.5075959
##   [9,]    16.5833549       5.631   16.5833549
##  [10,]    19.9784415       6.004   19.9784415
##  [11,]    23.3735282       6.377   23.3735282
##  [12,]    20.0239521       6.009   20.0239521
##  [13,]    18.9316990       5.889   18.9316990
##  [14,]    19.4778256       5.949   19.4778256
##  [15,]    20.8158356       6.096   20.8158356
##  [16,]    18.4310830       5.834   18.4310830
##  [17,]    19.3503960       5.935   19.3503960
##  [18,]    19.8510120       5.990   19.8510120
##  [19,]    14.9904858       5.456   14.9904858
##  [20,]    17.4571574       5.727   17.4571574
##  [21,]    16.0281262       5.570   16.0281262
##  [22,]    19.6234593       5.965   19.6234593
##  [23,]    21.2345326       6.142   21.2345326
##  [24,]    18.2399387       5.813   18.2399387
##  [25,]    19.2502728       5.924   19.2502728
##  [26,]    16.2920874       5.599   16.2920874
##  [27,]    18.2399387       5.813   18.2399387
##  [28,]    20.3698322       6.047   20.3698322
##  [29,]    24.4475771       6.495   24.4475771
##  [30,]    26.0768546       6.674   26.0768546
##  [31,]    17.3297278       5.713   17.3297278
##  [32,]    20.5973850       6.072   20.5973850
##  [33,]    19.4869277       5.950   19.4869277
##  [34,]    17.2205025       5.701   17.2205025
##  [35,]    20.8158356       6.096   20.8158356
##  [36,]    19.3321918       5.933   19.3321918
##  [37,]    18.4947978       5.841   18.4947978
##  [38,]    18.5767168       5.850   18.5767168
##  [39,]    19.6325614       5.966   19.6325614
##  [40,]    25.3577880       6.595   25.3577880
##  [41,]    29.2625927       7.024   29.2625927
##  [42,]    26.9506570       6.770   26.9506570
##  [43,]    21.4802895       6.169   21.4802895
##  [44,]    21.8625781       6.211   21.8625781
##  [45,]    20.5700786       6.069   20.5700786
##  [46,]    17.0475625       5.682   17.0475625
##  [47,]    17.9941818       5.786   17.9941818
##  [48,]    20.2150964       6.030   20.2150964
##  [49,]    14.4716656       5.399   14.4716656
##  [50,]    16.3193937       5.602   16.3193937
##  [51,]    19.6052551       5.963   19.6052551
##  [52,]    20.9887756       6.115   20.9887756
##  [53,]    24.5932108       6.511   24.5932108
##  [54,]    19.9238289       5.998   19.9238289
##  [55,]    18.9225969       5.888   18.9225969
##  [56,]    31.3105672       7.249   31.3105672
##  [57,]    23.4281409       6.383   23.4281409
##  [58,]    27.3693540       6.816   27.3693540
##  [59,]    21.2618389       6.145   21.2618389
##  [60,]    19.2775792       5.927   19.2775792
##  [61,]    17.5845869       5.741   17.5845869
##  [62,]    19.6325614       5.966   19.6325614
##  [63,]    24.0925948       6.456   24.0925948
##  [64,]    26.8778402       6.762   26.8778402
##  [65,]    29.9907614       7.104   29.9907614
##  [66,]    22.5816447       6.290   22.5816447
##  [67,]    18.0032839       5.787   18.0032839
##  [68,]    18.8315758       5.878   18.8315758
##  [69,]    16.2465769       5.594   16.2465769
##  [70,]    18.8952906       5.885   18.8952906
##  [71,]    23.7376126       6.417   23.7376126
##  [72,]    19.5870509       5.961   19.5870509
##  [73,]    20.5336702       6.065   20.5336702
##  [74,]    22.1720498       6.245   22.1720498
##  [75,]    22.4269089       6.273   22.4269089
##  [76,]    22.5452363       6.286   22.5452363
##  [77,]    22.4815215       6.279   22.4815215
##  [78,]    21.2163284       6.140   21.2163284
##  [79,]    22.0537224       6.232   22.0537224
##  [80,]    18.7951674       5.874   18.7951674
##  [81,]    26.5592663       6.727   26.5592663
##  [82,]    25.5762386       6.619   25.5762386
##  [83,]    22.6908700       6.302   22.6908700
##  [84,]    21.4620853       6.167   21.4620853
##  [85,]    23.4827535       6.389   23.4827535
##  [86,]    25.6763618       6.630   25.6763618
##  [87,]    20.0785647       6.015   20.0785647
##  [88,]    21.0433883       6.121   21.0433883
##  [89,]    29.1078569       7.007   29.1078569
##  [90,]    29.7632087       7.079   29.7632087
##  [91,]    23.7376126       6.417   23.7376126
##  [92,]    23.6283872       6.405   23.6283872
##  [93,]    23.9651653       6.442   23.9651653
##  [94,]    21.8625781       6.211   21.8625781
##  [95,]    22.2084582       6.249   22.2084582
##  [96,]    25.6308512       6.625   25.6308512
##  [97,]    21.4256769       6.163   21.4256769
##  [98,]    38.7742966       8.069   38.7742966
##  [99,]    36.5078715       7.820   36.5078715
## [100,]    32.8306194       7.416   32.8306194
## [101,]    26.5592663       6.727   26.5592663
## [102,]    27.0507802       6.781   27.0507802
## [103,]    23.6283872       6.405   23.6283872
## [104,]    21.1890220       6.137   21.1890220
## [105,]    21.4620853       6.167   21.4620853
## [106,]    18.5858189       5.851   18.5858189
## [107,]    18.4492872       5.836   18.4492872
## [108,]    21.0980010       6.127   21.0980010
## [109,]    24.2564328       6.474   24.2564328
## [110,]    22.0264161       6.229   22.0264161
## [111,]    21.7169444       6.195   21.7169444
## [112,]    26.4500410       6.715   26.4500410
## [113,]    19.1501496       5.913   19.1501496
## [114,]    20.7794271       6.092   20.7794271
## [115,]    22.2539688       6.254   22.2539688
## [116,]    19.2866813       5.928   19.2866813
## [117,]    21.5440043       6.176   21.5440043
## [118,]    20.1331774       6.021   20.1331774
## [119,]    18.7769632       5.872   18.7769632
## [120,]    17.4935658       5.731   17.4935658
## [121,]    18.7587589       5.870   18.7587589
## [122,]    19.9784415       6.004   19.9784415
## [123,]    19.5870509       5.961   19.5870509
## [124,]    18.6313294       5.856   18.6313294
## [125,]    18.8406779       5.879   18.8406779
## [126,]    19.8146036       5.986   19.8146036
## [127,]    16.4195169       5.613   16.4195169
## [128,]    17.1476857       5.693   17.1476857
## [129,]    23.8650421       6.431   23.8650421
## [130,]    16.6379676       5.637   16.6379676
## [131,]    24.1107990       6.458   24.1107990
## [132,]    22.9093206       6.326   22.9093206
## [133,]    23.3280177       6.372   23.3280177
## [134,]    18.3218577       5.822   18.3218577
## [135,]    17.7302206       5.757   17.7302206
## [136,]    22.9912396       6.335   22.9912396
## [137,]    19.4141108       5.942   19.4141108
## [138,]    24.0743906       6.454   24.0743906
## [139,]    18.6404315       5.857   18.6404315
## [140,]    21.3164516       6.151   21.3164516
## [141,]    21.5258001       6.174   21.5258001
## [142,]    11.0128642       5.019   11.0128642
## [143,]    14.5080740       5.403   14.5080740
## [144,]    15.0997111       5.468   15.0997111
## [145,]     9.9570196       4.903    9.9570196
## [146,]    21.1253073       6.130   21.1253073
## [147,]    16.5560486       5.628   16.5560486
## [148,]    10.1663681       4.926   10.1663681
## [149,]    12.5329164       5.186   12.5329164
## [150,]    16.2738832       5.597   16.2738832
## [151,]    21.0524904       6.122   21.0524904
## [152,]    14.5171762       5.404   14.5171762
## [153,]    10.9491494       5.012   10.9491494
## [154,]    17.2933194       5.709   17.2933194
## [155,]    21.1162052       6.129   21.1162052
## [156,]    21.3255537       6.152   21.3255537
## [157,]    13.3156978       5.272   13.3156978
## [158,]    28.5253219       6.943   28.5253219
## [159,]    20.5427723       6.066   20.5427723
## [160,]    24.5841087       6.510   24.5841087
## [161,]    22.2175604       6.250   22.2175604
## [162,]    33.4950734       7.489   33.4950734
## [163,]    36.3440335       7.802   36.3440335
## [164,]    41.5595419       8.375   41.5595419
## [165,]    18.6131252       5.854   18.6131252
## [166,]    20.8613461       6.101   20.8613461
## [167,]    37.5000013       7.929   37.5000013
## [168,]    18.8224737       5.877   18.8224737
## [169,]    22.8456059       6.319   22.8456059
## [170,]    23.6010809       6.402   23.6010809
## [171,]    18.8042695       5.875   18.8042695
## [172,]    18.8497800       5.880   18.8497800
## [173,]    16.0463305       5.572   16.0463305
## [174,]    23.7285104       6.416   23.7285104
## [175,]    18.6586357       5.859   18.6586357
## [176,]    24.9117846       6.546   24.9117846
## [177,]    20.1240753       6.020   20.1240753
## [178,]    22.8091974       6.315   22.8091974
## [179,]    27.7698468       6.860   27.7698468
## [180,]    28.8620999       6.980   28.8620999
## [181,]    36.0072555       7.765   36.0072555
## [182,]    21.2527368       6.144   21.2527368
## [183,]    30.4549690       7.155   30.4549690
## [184,]    25.0665205       6.563   25.0665205
## [185,]    16.3375980       5.604   16.3375980
## [186,]    21.3346558       6.153   21.3346558
## [187,]    36.6079947       7.831   36.6079947
## [188,]    27.0598823       6.782   27.0598823
## [189,]    25.0028057       6.556   25.0028057
## [190,]    30.7280323       7.185   30.7280323
## [191,]    28.5981388       6.951   28.5981388
## [192,]    26.6684916       6.739   26.6684916
## [193,]    30.6643175       7.178   30.6643175
## [194,]    27.2237203       6.800   27.2237203
## [195,]    25.4397069       6.604   25.4397069
## [196,]    37.0084875       7.875   37.0084875
## [197,]    31.6564474       7.287   31.6564474
## [198,]    30.0180678       7.107   30.0180678
## [199,]    31.5381200       7.274   31.5381200
## [200,]    28.8165894       6.975   28.8165894
## [201,]    30.2729268       7.135   30.2729268
## [202,]    21.4165748       6.162   21.4165748
## [203,]    34.5964286       7.610   34.5964286
## [204,]    36.8082411       7.853   36.8082411
## [205,]    38.4557228       8.034   38.4557228
## [206,]    18.9499032       5.891   18.9499032
## [207,]    22.9093206       6.326   22.9093206
## [208,]    17.9668755       5.783   17.9668755
## [209,]    20.5245681       6.064   20.5245681
## [210,]    13.9710496       5.344   13.9710496
## [211,]    19.5779488       5.960   19.5779488
## [212,]    14.5171762       5.404   14.5171762
## [213,]    18.1853261       5.807   18.1853261
## [214,]    23.3553240       6.375   23.3553240
## [215,]    14.5899930       5.412   14.5899930
## [216,]    21.5986169       6.182   21.5986169
## [217,]    18.9225969       5.888   18.9225969
## [218,]    25.7855871       6.642   25.7855871
## [219,]    19.4960298       5.951   19.4960298
## [220,]    23.3371198       6.373   23.3371198
## [221,]    28.5981388       6.951   28.5981388
## [222,]    21.4347790       6.164   21.4347790
## [223,]    27.9427869       6.879   27.9427869
## [224,]    25.5671365       6.618   25.5671365
## [225,]    40.5674121       8.266   40.5674121
## [226,]    44.7452801       8.725   44.7452801
## [227,]    38.5103354       8.040   38.5103354
## [228,]    30.5277859       7.163   30.5277859
## [229,]    35.2881889       7.686   35.2881889
## [230,]    24.9663973       6.552   24.9663973
## [231,]    19.7690930       5.981   19.7690930
## [232,]    32.7942110       7.412   32.7942110
## [233,]    41.2136618       8.337   41.2136618
## [234,]    40.3944720       8.247   40.3944720
## [235,]    26.5501642       6.726   26.5501642
## [236,]    20.7248145       6.086   20.7248145
## [237,]    25.6854639       6.631   25.6854639
## [238,]    32.3026971       7.358   32.3026971
## [239,]    24.3201475       6.481   24.3201475
## [240,]    25.4579112       6.606   25.4579112
## [241,]    28.1066249       6.897   28.1066249
## [242,]    20.8067335       6.095   20.8067335
## [243,]    23.2005881       6.358   23.2005881
## [244,]    23.5191619       6.393   23.5191619
## [245,]    16.2374748       5.593   16.2374748
## [246,]    16.3467001       5.605   16.3467001
## [247,]    20.9250609       6.108   20.9250609
## [248,]    21.9991097       6.226   21.9991097
## [249,]    23.8832463       6.433   23.8832463
## [250,]    26.4773474       6.718   26.4773474
## [251,]    24.3747602       6.487   24.3747602
## [252,]    23.9287568       6.438   23.9287568
## [253,]    28.6527514       6.957   28.6527514
## [254,]    40.5036973       8.259   40.5036973
## [255,]    20.9250609       6.108   20.9250609
## [256,]    18.8133716       5.876   18.8133716
## [257,]    33.1764996       7.454   33.1764996
## [258,]    44.5541358       8.704   44.5541358
## [259,]    32.0751444       7.333   32.0751444
## [260,]    27.6060089       6.842   27.6060089
## [261,]    30.8918702       7.203   30.8918702
## [262,]    33.7772388       7.520   33.7772388
## [263,]    41.7688904       8.398   41.7688904
## [264,]    32.0205317       7.327   32.0205317
## [265,]    30.9191765       7.206   30.9191765
## [266,]    15.9371052       5.560   15.9371052
## [267,]    29.1715716       7.014   29.1715716
## [268,]    40.8495774       8.297   40.8495774
## [269,]    33.3221333       7.470   33.3221333
## [270,]    19.2138644       5.920   19.2138644
## [271,]    18.6313294       5.856   18.6313294
## [272,]    22.1265393       6.240   22.1265393
## [273,]    24.8389677       6.538   24.8389677
## [274,]    35.3336994       7.691   35.3336994
## [275,]    26.8414317       6.758   26.8414317
## [276,]    27.7152342       6.854   27.7152342
## [277,]    31.4744052       7.267   31.4744052
## [278,]    27.4603751       6.826   27.4603751
## [279,]    24.3292496       6.482   24.3292496
## [280,]    27.3329456       6.812   27.3329456
## [281,]    36.5078715       7.820   36.5078715
## [282,]    28.7528746       6.968   28.7528746
## [283,]    34.9150024       7.645   34.9150024
## [284,]    37.4453887       7.923   37.4453887
## [285,]    29.8451277       7.088   29.8451277
## [286,]    24.0652885       6.453   24.0652885
## [287,]    22.0355182       6.230   22.0355182
## [288,]    21.8443739       6.209   21.8443739
## [289,]    22.8091974       6.315   22.8091974
## [290,]    25.0847247       6.565   25.0847247
## [291,]    27.7789489       6.861   27.7789489
## [292,]    30.3912542       7.148   30.3912542
## [293,]    25.6763618       6.630   25.6763618
## [294,]    21.0980010       6.127   21.0980010
## [295,]    20.0239521       6.009   20.0239521
## [296,]    26.1132630       6.678   26.1132630
## [297,]    24.9390909       6.549   24.9390909
## [298,]    18.0305902       5.790   18.0305902
## [299,]    23.0822607       6.345   23.0822607
## [300,]    29.4173286       7.041   29.4173286
## [301,]    27.8699700       6.871   27.8699700
## [302,]    25.3122774       6.590   25.3122774
## [303,]    24.4475771       6.495   24.4475771
## [304,]    28.8803041       6.982   28.8803041
## [305,]    31.1922398       7.236   31.1922398
## [306,]    25.5489322       6.616   25.5489322
## [307,]    32.8670279       7.420   32.8670279
## [308,]    27.6697236       6.849   27.6697236
## [309,]    25.7218723       6.635   25.7218723
## [310,]    19.6871741       5.972   19.6871741
## [311,]    10.5941672       4.973   10.5941672
## [312,]    21.0524904       6.122   21.0524904
## [313,]    20.1513816       6.023   20.1513816
## [314,]    22.3631941       6.266   22.3631941
## [315,]    25.1029289       6.567   25.1029289
## [316,]    17.2569110       5.705   17.2569110
## [317,]    19.1592517       5.914   19.1592517
## [318,]    17.9577734       5.782   17.9577734
## [319,]    23.4190387       6.382   23.4190387
## [320,]    20.9705714       6.113   20.9705714
## [321,]    23.8195315       6.426   23.8195315
## [322,]    23.3644261       6.376   23.3644261
## [323,]    20.3152196       6.041   20.3152196
## [324,]    17.2842173       5.708   17.2842173
## [325,]    23.7194083       6.415   23.7194083
## [326,]    23.8650421       6.431   23.8650421
## [327,]    22.7818911       6.312   22.7818911
## [328,]    20.6975082       6.083   20.6975082
## [329,]    18.7405547       5.868   18.7405547
## [330,]    22.9730354       6.333   22.9730354
## [331,]    21.2527368       6.144   21.2527368
## [332,]    17.2660131       5.706   17.2660131
## [333,]    20.2241985       6.031   20.2241985
## [334,]    22.8182995       6.316   22.8182995
## [335,]    22.7636869       6.310   22.7636869
## [336,]    20.2788111       6.037   20.2788111
## [337,]    18.7496568       5.869   18.7496568
## [338,]    18.9863117       5.895   18.9863117
## [339,]    20.4790575       6.059   20.4790575
## [340,]    19.8055015       5.985   19.8055015
## [341,]    19.6507656       5.968   19.6507656
## [342,]    31.2377504       7.241   31.2377504
## [343,]    24.8571720       6.540   24.8571720
## [344,]    26.2771010       6.696   26.2771010
## [345,]    27.8972764       6.874   27.8972764
## [346,]    20.0694626       6.014   20.0694626
## [347,]    19.0136180       5.898   19.0136180
## [348,]    24.6387213       6.516   24.6387213
## [349,]    25.7218723       6.635   25.7218723
## [350,]    28.4889134       6.939   28.4889134
## [351,]    24.4020665       6.490   24.4020665
## [352,]    25.2121542       6.579   25.2121542
## [353,]    18.8861885       5.884   18.8861885
## [354,]    26.5683684       6.728   26.5683684
## [355,]    16.8746224       5.663   16.8746224
## [356,]    19.3594981       5.936   19.3594981
## [357,]    21.8716802       6.212   21.8716802
## [358,]    23.5373662       6.395   23.5373662
## [359,]    21.0980010       6.127   21.0980010
## [360,]    20.9614693       6.112   20.9614693
## [361,]    23.5646725       6.398   23.5646725
## [362,]    22.2266625       6.251   22.2266625
## [363,]    14.1348876       5.362   14.1348876
## [364,]    18.1489176       5.803   18.1489176
## [365,]    45.2458961       8.780   45.2458961
## [366,]    -2.2580107       3.561   -2.2580107
## [367,]    10.5031461       4.963   10.5031461
## [368,]     0.4908262       3.863    0.4908262
## [369,]    10.5668609       4.970   10.5668609
## [370,]    26.1587735       6.683   26.1587735
## [371,]    29.1897758       7.016   29.1897758
## [372,]    21.9080887       6.216   21.9080887
## [373,]    18.8042695       5.875   18.8042695
## [374,]     9.9843259       4.906    9.9843259
## [375,]     2.9939062       4.138    2.9939062
## [376,]    31.8931022       7.313   31.8931022
## [377,]    25.8493018       6.649   25.8493018
## [378,]    27.1691076       6.794   27.1691076
## [379,]    23.4008345       6.380   23.4008345
## [380,]    21.9718034       6.223   21.9718034
## [381,]    28.7528746       6.968   28.7528746
## [382,]    24.9026825       6.545   24.9026825
## [383,]    15.7186545       5.536   15.7186545
## [384,]    15.5730208       5.520   15.5730208
## [385,]     5.0873913       4.368    5.0873913
## [386,]    13.3612083       5.277   13.3612083
## [387,]     7.6723902       4.652    7.6723902
## [388,]    10.8399241       5.000   10.8399241
## [389,]     9.7476711       4.880    9.7476711
## [390,]    14.3897466       5.390   14.3897466
## [391,]    17.3297278       5.713   17.3297278
## [392,]    20.4062407       6.051   20.4062407
## [393,]    11.1676001       5.036   11.1676001
## [394,]    21.6987401       6.193   21.6987401
## [395,]    18.9134948       5.887   18.9134948
## [396,]    24.2291264       6.471   24.2291264
## [397,]    23.6283872       6.405   23.6283872
## [398,]    17.6391995       5.747   17.6391995
## [399,]    14.9631795       5.453   14.9631795
## [400,]    18.5949210       5.852   18.5949210
## [401,]    19.8237057       5.987   19.8237057
## [402,]    23.0640565       6.343   23.0640565
## [403,]    23.6192851       6.404   23.6192851
## [404,]    14.0165602       5.349   14.0165602
## [405,]    15.6731440       5.531   15.6731440
## [406,]    17.0566646       5.683   17.0566646
## [407,]     2.9939062       4.138    2.9939062
## [408,]    16.3740064       5.608   16.3740064
## [409,]    16.4559254       5.617   16.4559254
## [410,]    27.6970300       6.852   27.6970300
## [411,]    17.7302206       5.757   17.7302206
## [412,]    25.9221187       6.657   25.9221187
## [413,]     7.4539396       4.628    7.4539396
## [414,]    12.2507510       5.155   12.2507510
## [415,]     6.4618097       4.519    6.4618097
## [416,]    23.8923484       6.434   23.8923484
## [417,]    27.0598823       6.782   27.0598823
## [418,]    13.6069653       5.304   13.6069653
## [419,]    19.5506424       5.957   19.5506424
## [420,]    27.4421709       6.824   27.4421709
## [421,]    23.6829999       6.411   23.6829999
## [422,]    19.9966458       6.006   19.9966458
## [423,]    16.7380907       5.648   16.7380907
## [424,]    20.8795503       6.103   20.8795503
## [425,]    15.9826157       5.565   15.9826157
## [426,]    18.9954138       5.896   18.9954138
## [427,]    18.4583893       5.837   18.4583893
## [428,]    21.7806591       6.202   21.7806591
## [429,]    21.6987401       6.193   21.6987401
## [430,]    23.4008345       6.380   23.4008345
## [431,]    23.1095670       6.348   23.1095670
## [432,]    27.5240899       6.833   27.5240899
## [433,]    23.8104294       6.425   23.8104294
## [434,]    23.9105526       6.436   23.9105526
## [435,]    21.8352718       6.208   21.8352718
## [436,]    25.6672597       6.629   25.6672597
## [437,]    24.1381054       6.461   24.1381054
## [438,]    21.3255537       6.152   21.3255537
## [439,]    19.3503960       5.935   19.3503960
## [440,]    16.5469465       5.627   16.5469465
## [441,]    18.2854493       5.818   18.2854493
## [442,]    23.6374894       6.406   23.6374894
## [443,]    21.9353950       6.219   21.9353950
## [444,]    24.3565560       6.485   24.3565560
## [445,]    18.6131252       5.854   18.6131252
## [446,]    24.1199011       6.459   24.1199011
## [447,]    23.0458523       6.341   23.0458523
## [448,]    22.2266625       6.251   22.2266625
## [449,]    21.6259233       6.185   21.6259233
## [450,]    23.7376126       6.417   23.7376126
## [451,]    26.7595127       6.749   26.7595127
## [452,]    25.9039145       6.655   25.9039145
## [453,]    22.6453595       6.297   22.6453595
## [454,]    32.6212709       7.393   32.6212709
## [455,]    26.5683684       6.728   26.5683684
## [456,]    24.7206403       6.525   24.7206403
## [457,]    19.7235825       5.976   19.7235825
## [458,]    19.3594981       5.936   19.3594981
## [459,]    22.6817679       6.301   22.6817679
## [460,]    20.6793039       6.081   20.6793039
## [461,]    26.3226115       6.701   26.3226115
## [462,]    23.3644261       6.376   23.3644261
## [463,]    22.8274017       6.317   22.8274017
## [464,]    24.6114150       6.513   24.6114150
## [465,]    21.8443739       6.209   21.8443739
## [466,]    17.7484248       5.759   17.7484248
## [467,]    19.5051319       5.952   19.5051319
## [468,]    19.9693394       6.003   19.9693394
## [469,]    19.2684770       5.926   19.2684770
## [470,]    17.3297278       5.713   17.3297278
## [471,]    21.4620853       6.167   21.4620853
## [472,]    22.0264161       6.229   22.0264161
## [473,]    23.9196547       6.437   23.9196547
## [474,]    28.8620999       6.980   28.8620999
## [475,]    14.7265247       5.427   14.7265247
## [476,]    21.4165748       6.162   21.4165748
## [477,]    24.3474539       6.484   24.3474539
## [478,]    13.6069653       5.304   13.6069653
## [479,]    21.6259233       6.185   21.6259233
## [480,]    22.0264161       6.229   22.0264161
## [481,]    22.1447435       6.242   22.1447435
## [482,]    26.7686148       6.750   26.7686148
## [483,]    29.5993707       7.061   29.5993707
## [484,]    17.7757312       5.762   17.7757312
## [485,]    18.7678611       5.871   18.7678611
## [486,]    22.7818911       6.312   22.7818911
## [487,]    20.9796735       6.114   20.9796735
## [488,]    19.0773328       5.905   19.0773328
## [489,]    14.9722816       5.454   14.9722816
## [490,]    14.6081972       5.414   14.6081972
## [491,]    11.6864203       5.093   11.6864203
## [492,]    19.7872973       5.983   19.7872973
## [493,]    19.7872973       5.983   19.7872973
## [494,]    17.2751152       5.707   17.2751152
## [495,]    19.2684770       5.926   19.2684770
## [496,]    16.9383371       5.670   16.9383371
## [497,]    14.3897466       5.390   14.3897466
## [498,]    18.0669987       5.794   18.0669987
## [499,]    20.1149732       6.019   20.1149732
## [500,]    16.0190241       5.569   16.0190241
## [501,]    20.1877901       6.027   20.1877901
## [502,]    25.3395837       6.593   25.3395837
## [503,]    21.0342862       6.120   21.0342862
## [504,]    28.8256915       6.976   28.8256915
## [505,]    27.1691076       6.794   27.1691076
## [506,]    20.2150964       6.030   20.2150964
plot(db, res = 20, col = "lightblue", main = "PLRLS")

plot(db2, res = 20, col = "lightblue", main = "PLR")

plot(db3, res = 20, col = "lightblue", main = "FLS")

Titik mewakili nilai sentral dari pengamatan dan kumis menunjukkan penyebarannya. Area yang diarsir menunjukkan prediksi model dengan derajat keanggotaan lebih besar dari nol. Kita dapat membandingkan model secara numerik menggunakan total error dengan fungsi TEF().

TEF(db) #plrls
## [1] 13752178518
TEF(db2) #plr
## [1] 1226.661
TEF(db3) #fls
## [1] 359.1023

Evaluasi : Perbandingan model regresi fuzzy yang dilengkapi dengan metode PLRLS, PLR dan FLS. Metode FLS memiliki kesalahan total yang lebih rendah sehingga mencerminkan pengamatan dengan lebih baik.