##Step 1: Load and Prepare Data

setwd("C:/Users/muqta/Desktop/rdata")
getwd()
## [1] "C:/Users/muqta/Desktop/rdata"
data=read.csv("karpur.csv")
data
##      depth caliper ind.deep ind.med   gamma phi.N  R.deep   R.med      SP
## 1   5667.0   8.685  618.005 569.781  98.823 0.410   1.618   1.755 -56.587
## 2   5667.5   8.686  497.547 419.494  90.640 0.307   2.010   2.384 -61.916
## 3   5668.0   8.686  384.935 300.155  78.087 0.203   2.598   3.332 -55.861
## 4   5668.5   8.686  278.324 205.224  66.232 0.119   3.593   4.873 -41.860
## 5   5669.0   8.686  183.743 131.155  59.807 0.069   5.442   7.625 -34.934
## 6   5669.5   8.686  109.512  75.633  57.109 0.048   9.131  13.222 -39.769
## 7   5670.0   8.686   63.530  40.841  55.067 0.047  15.741  24.485 -45.882
## 8   5670.5   8.686   40.856  23.879  53.603 0.055  24.476  41.877 -47.122
## 9   5671.0   8.686   32.977  18.041  53.865 0.066  30.324  55.430 -47.035
## 10  5671.5   8.686   32.341  17.374  55.728 0.074  30.921  57.559 -45.988
## 11  5672.0   8.686   34.068  18.540  58.418 0.080  29.353  53.938 -42.025
## 12  5672.5   8.686   34.864  19.586  61.025 0.071  28.683  51.057 -37.950
## 13  5673.0   8.686   33.774  19.550  61.158 0.057  29.608  51.151 -37.165
## 14  5673.5   8.686   31.434  18.600  57.304 0.049  31.812  53.764 -38.205
## 15  5674.0   8.686   28.619  17.732  52.907 0.048  34.942  56.394 -39.222
## 16  5674.5   8.686   25.888  17.915  51.225 0.050  38.627  55.819 -41.094
## 17  5675.0   8.686   23.612  19.009  51.157 0.058  42.350  52.606 -44.447
## 18  5675.5   8.686   21.949  20.089  51.144 0.068  45.561  49.778 -45.718
## 19  5676.0   8.686   21.170  20.776  51.682 0.078  47.237  48.133 -43.077
## 20  5676.5   8.686   21.465  21.336  53.212 0.088  46.588  46.869 -40.023
## 21  5677.0   8.687   22.197  21.797  54.930 0.106  45.051  45.878 -39.362
## 22  5677.5   8.661   22.310  21.913  56.451 0.122  44.823  45.635 -41.019
## 23  5678.0   8.661   21.485  21.631  57.452 0.122  46.544  46.231 -43.708
## 24  5678.5   8.687   20.244  21.136  56.503 0.113  49.398  47.313 -46.170
## 25  5679.0   8.686   19.146  20.665  53.403 0.110  52.229  48.391 -47.884
## 26  5679.5   8.686   18.314  20.324  50.867 0.115  54.603  49.202 -49.715
## 27  5680.0   8.686   17.609  20.081  51.485 0.117  56.790  49.797 -50.814
## 28  5680.5   8.686   17.070  20.014  54.311 0.119  58.583  49.964 -49.884
## 29  5681.0   8.686   16.798  20.296  57.147 0.134  59.529  49.271 -47.826
## 30  5681.5   8.686   16.628  20.830  59.908 0.156  60.141  48.008 -45.931
## 31  5682.0   8.686   16.249  21.188  62.538 0.162  61.541  47.196 -44.556
## 32  5682.5   8.686   15.614  20.937  62.847 0.143  64.045  47.762 -44.570
## 33  5683.0   8.686   14.912  19.943  59.421 0.119  67.059  50.142 -42.812
## 34  5683.5   8.686   14.340  18.611  54.399 0.099  69.738  53.733 -35.723
## 35  5684.0   8.686   13.824  17.523  51.114 0.084  72.339  57.068 -29.950
## 36  5684.5   8.686   13.143  16.796  50.382 0.078  76.089  59.539 -34.705
## 37  5685.0   8.686   12.256  16.157  50.557 0.072  81.594  61.892 -43.658
## 38  5685.5   8.686   11.461  15.688  50.104 0.078  87.250  63.744 -48.317
## 39  5686.0   8.686   11.033  15.656  49.153 0.089  90.640  63.873 -51.604
## 40  5686.5   8.686   11.117  16.126  48.907 0.095  89.952  62.012 -53.147
## 41  5687.0   8.686   11.851  17.157  50.208 0.097  84.378  58.286 -48.450
## 42  5687.5   8.686   13.227  18.814  52.479 0.100  75.602  53.152 -43.635
## 43  5688.0   8.686   14.996  20.884  53.235 0.105  66.685  47.884 -46.345
## 44  5688.5   8.686   16.943  23.124  51.830 0.116  59.020  43.245 -52.680
## 45  5689.0   8.686   18.922  25.513  50.871 0.138  52.849  39.196 -56.057
## 46  5689.5   8.686   20.644  27.752  53.670 0.130  48.440  36.033 -54.393
## 47  5690.0   8.686   21.816  29.075  58.834 0.122  45.838  34.394 -50.262
## 48  5690.5   8.686   22.430  29.069  60.725 0.099  44.584  34.401 -47.173
## 49  5691.0   8.686   22.715  28.267  56.690 0.085  44.025  35.376 -45.518
## 50  5691.5   8.686   22.833  27.396  51.783 0.079  43.797  36.501 -45.045
## 51  5692.0   8.686   22.678  26.676  51.050 0.077  44.096  37.486 -47.185
## 52  5692.5   8.686   22.108  25.995  52.503 0.073  45.232  38.469 -51.319
## 53  5693.0   8.686   21.377  25.442  52.790 0.072  46.779  39.305 -53.534
## 54  5693.5   8.686   20.975  25.363  51.431 0.072  47.676  39.428 -52.998
## 55  5694.0   8.686   21.110  26.007  49.782 0.073  47.370  38.451 -52.467
## 56  5694.5   8.686   21.667  27.214  50.183 0.077  46.153  36.746 -54.153
## 57  5695.0   8.686   22.445  28.501  52.501 0.078  44.554  35.086 -55.533
## 58  5695.5   8.686   23.254  29.419  53.426 0.075  43.002  33.992 -57.248
## 59  5696.0   8.686   24.049  29.875  52.361 0.073  41.582  33.473 -63.093
## 60  5696.5   8.686   24.942  30.237  51.394 0.076  40.092  33.071 -69.001
## 61  5697.0   8.686   25.893  30.883  50.702 0.080  38.620  32.380 -68.758
## 62  5697.5   8.686   26.729  31.739  50.806 0.083  37.413  31.507 -65.268
## 63  5698.0   8.686   27.417  32.554  52.346 0.084  36.473  30.718 -62.689
## 64  5698.5   8.686   28.078  33.323  53.893 0.086  35.615  30.009 -60.658
## 65  5699.0   8.686   28.832  34.135  54.022 0.089  34.684  29.296 -57.222
## 66  5699.5   8.686   29.702  34.970  54.342 0.091  33.668  28.596 -50.392
## 67  5700.0   8.686   30.506  35.732  55.169 0.094  32.781  27.986 -42.585
## 68  5700.5   8.686   31.030  36.242  54.772 0.095  32.227  27.593 -40.939
## 69  5701.0   8.686   31.323  36.351  54.040 0.090  31.926  27.510 -44.804
## 70  5701.5   8.686   31.557  36.190  54.742 0.085  31.689  27.632 -45.252
## 71  5702.0   8.686   31.797  36.030  56.060 0.082  31.450  27.755 -40.075
## 72  5702.5   8.686   31.994  36.070  56.324 0.081  31.256  27.724 -36.857
## 73  5703.0   8.686   32.070  36.307  56.051 0.081  31.182  27.543 -37.840
## 74  5703.5   8.686   32.016  36.599  56.703 0.080  31.234  27.323 -35.935
## 75  5704.0   8.686   31.976  36.767  58.662 0.079  31.274  27.199 -29.613
## 76  5704.5   8.686   32.145  36.868  60.143 0.078  31.109  27.124 -28.016
## 77  5705.0   8.686   32.542  37.128  59.443 0.077  30.730  26.934 -34.092
## 78  5705.5   8.686   33.026  37.580  57.930 0.076  30.280  26.610 -39.142
## 79  5706.0   8.686   33.463  37.990  58.261 0.076  29.884  26.322 -40.381
## 80  5706.5   8.686   33.831  38.246  60.433 0.077  29.559  26.147 -43.333
## 81  5707.0   8.686   34.147  38.463  61.744 0.075  29.285  25.999 -45.303
## 82  5707.5   8.686   34.495  38.705  61.793 0.075  28.990  25.836 -40.991
## 83  5708.0   8.686   34.965  38.937  62.062 0.077  28.600  25.683 -33.291
## 84  5708.5   8.686   35.440  39.286  61.718 0.076  28.217  25.455 -30.364
## 85  5709.0   8.686   35.820  39.772  60.116 0.075  27.917  25.144 -39.109
## 86  5709.5   8.686   36.249  40.286  58.627 0.074  27.587  24.823 -56.700
## 87  5710.0   8.686   36.764  40.708  58.150 0.074  27.200  24.565 -67.331
## 88  5710.5   8.686   37.288  40.657  58.260 0.074  26.818  24.596 -63.344
## 89  5711.0   8.686   37.949  40.528  58.738 0.074  26.351  24.674 -55.999
## 90  5711.5   8.686   38.675  41.404  58.646 0.074  25.857  24.152 -52.760
## 91  5712.0   8.686   39.232  43.043  58.066 0.075  25.489  23.232 -47.765
## 92  5712.5   8.686   39.666  43.698  58.299 0.075  25.210  22.884 -40.611
## 93  5713.0   8.686   40.062  43.256  59.218 0.074  24.961  23.118 -38.684
## 94  5713.5   8.686   40.219  43.068  59.339 0.074  24.864  23.219 -41.997
## 95  5714.0   8.686   40.359  43.498  57.940 0.074  24.778  22.990 -43.989
## 96  5714.5   8.686   40.816  44.060  56.756 0.074  24.500  22.696 -45.149
## 97  5715.0   8.686   41.432  44.538  58.042 0.075  24.136  22.453 -49.723
## 98  5715.5   8.686   42.013  44.819  61.012 0.076  23.802  22.312 -55.055
## 99  5716.0   8.686   42.700  45.000  61.661 0.076  23.419  22.222 -57.676
## 100 5716.5   8.686   43.328  45.336  59.151 0.074  23.080  22.058 -59.311
## 101 5717.0   8.686   43.734  45.809  56.754 0.072  22.866  21.830 -61.040
## 102 5717.5   8.686   44.244  46.527  56.673 0.070  22.602  21.493 -61.936
## 103 5718.0   8.686   45.296  47.920  57.156 0.071  22.077  20.868 -59.396
## 104 5718.5   8.686   47.056  50.292  56.939 0.077  21.251  19.884 -49.869
## 105 5719.0   8.686   49.532  53.772  57.301 0.084  20.189  18.597 -41.314
## 106 5719.5   8.686   52.699  58.396  58.575 0.090  18.976  17.125 -42.559
## 107 5720.0   8.686   56.400  63.962  59.835 0.109  17.731  15.634 -46.634
## 108 5720.5   8.686   60.079  69.647  60.982 0.127  16.645  14.358 -42.119
## 109 5721.0   8.686   63.074  73.890  60.391 0.132  15.854  13.534 -32.452
## 110 5721.5   8.686   65.362  75.623  56.775 0.124  15.299  13.224 -28.139
## 111 5722.0   8.686   67.521  75.890  52.628 0.111  14.810  13.177 -36.138
## 112 5722.5   8.687   70.290  77.116  49.673 0.107  14.227  12.967 -50.320
## 113 5723.0   8.684   74.258  80.806  47.444 0.116  13.467  12.375 -55.865
## 114 5723.5   8.719   79.801  87.255  46.368 0.135  12.531  11.461 -48.214
## 115 5724.0   8.777   87.374  97.286  47.806 0.172  11.445  10.279 -40.924
## 116 5724.5   8.786   97.602 112.551  51.103 0.221  10.246   8.885 -42.323
## 117 5725.0   8.783  111.243 132.762  54.966 0.254   8.989   7.532 -42.817
## 118 5725.5   8.793  127.605 155.780  58.339 0.269   7.837   6.419 -37.306
## 119 5726.0   8.825  145.904 178.486  62.386 0.284   6.854   5.603 -34.103
## 120 5726.5   8.860  166.588 198.342  68.002 0.285   6.003   5.042 -37.465
## 121 5727.0   8.884  190.591 216.753  72.455 0.269   5.247   4.614 -41.251
## 122 5727.5   8.883  215.241 235.779  72.731 0.254   4.646   4.241 -41.149
## 123 5728.0   8.883  235.561 254.282  71.864 0.246   4.245   3.933 -41.055
## 124 5728.5   8.883  249.804 268.000  72.386 0.239   4.003   3.731 -45.210
## 125 5729.0   8.883  261.306 276.318  71.204 0.238   3.827   3.619 -51.431
## 126 5729.5   8.883  272.227 283.673  66.616 0.237   3.673   3.525 -55.275
## 127 5730.0   8.883  284.267 293.998  62.589 0.236   3.518   3.401 -55.515
## 128 5730.5   8.883  297.420 307.293  61.882 0.238   3.362   3.254 -55.220
## 129 5731.0   8.883  310.831 321.639  63.410 0.249   3.217   3.109 -58.226
## 130 5731.5   8.883  324.911 335.983  67.308 0.267   3.078   2.976 -59.881
## 131 5732.0   8.883  340.319 349.812  75.965 0.290   2.938   2.859 -53.130
## 132 5732.5   8.883  355.914 361.868  86.890 0.309   2.810   2.763 -44.281
## 133 5733.0   8.883  369.969 371.446  92.453 0.312   2.703   2.692 -40.799
## 134 5733.5   8.883  381.960 379.591  90.080 0.305   2.618   2.634 -38.356
## 135 5734.0   8.883  392.171 387.277  85.740 0.299   2.550   2.582 -34.213
## 136 5734.5   8.883  400.001 393.623  83.846 0.297   2.500   2.540 -32.116
## 137 5735.0   8.883  403.440 397.043  82.532 0.293   2.479   2.519 -33.681
## 138 5735.5   8.883  401.160 396.602  79.395 0.285   2.493   2.521 -37.748
## 139 5736.0   8.883  394.357 391.839  75.973 0.278   2.536   2.552 -40.692
## 140 5736.5   8.883  384.490 382.050  74.618 0.274   2.601   2.618 -39.624
## 141 5737.0   8.883  371.308 366.978  74.599 0.266   2.693   2.725 -38.126
## 142 5737.5   8.883  355.213 348.936  73.332 0.252   2.815   2.866 -40.571
## 143 5738.0   8.883  339.446 331.516  70.440 0.245   2.946   3.016 -44.372
## 144 5738.5   8.885  327.659 316.684  67.981 0.248   3.052   3.158 -45.528
## 145 5739.0   8.849  320.677 306.903  67.381 0.252   3.118   3.258 -43.376
## 146 5739.5   8.816  316.687 306.366  68.606 0.268   3.158   3.264 -39.945
## 147 5740.0   8.818  314.199 314.881  72.328 0.289   3.183   3.176 -39.327
## 148 5740.5   8.839  313.477 325.550  78.991 0.306   3.190   3.072 -43.036
## 149 5741.0   8.853  315.313 332.915  85.526 0.315   3.171   3.004 -44.870
## 150 5741.5   8.873  320.568 338.620  88.265 0.308   3.119   2.953 -39.932
## 151 5742.0   8.861  329.509 346.153  85.474 0.287   3.035   2.889 -34.493
## 152 5742.5   8.850  338.604 353.192  78.758 0.263   2.953   2.831 -35.171
## 153 5743.0   8.816  341.817 353.069  72.168 0.248   2.925   2.832 -35.805
## 154 5743.5   8.815  337.866 343.293  69.713 0.236   2.960   2.913 -32.597
## 155 5744.0   8.875  331.475 329.172  68.793 0.224   3.017   3.038 -33.546
## 156 5744.5   8.886  327.020 317.872  64.595 0.213   3.058   3.146 -38.000
## 157 5745.0   8.873  325.323 313.193  58.463 0.208   3.074   3.193 -36.057
## 158 5745.5   8.851  324.893 315.407  55.257 0.206   3.078   3.171 -30.256
## 159 5746.0   8.875  324.028 321.987  54.907 0.205   3.086   3.106 -27.925
## 160 5746.5   8.875  322.032 328.099  55.206 0.206   3.105   3.048 -24.263
## 161 5747.0   8.850  319.176 329.419  57.296 0.213   3.133   3.036 -16.129
## 162 5747.5   8.874  315.917 324.825  62.403 0.225   3.165   3.079 -12.025
## 163 5748.0   8.859  312.201 315.995  67.617 0.232   3.203   3.165 -16.155
## 164 5748.5   8.859  306.323 305.021  70.130 0.233   3.264   3.279 -22.223
## 165 5749.0   8.859  295.500 292.834  71.626 0.234   3.384   3.415 -24.688
## 166 5749.5   8.857  278.299 278.818  74.827 0.236   3.593   3.587 -26.678
## 167 5750.0   8.886  257.724 262.061  78.078 0.237   3.880   3.816 -32.128
## 168 5750.5   8.848  240.520 243.229  78.221 0.235   4.158   4.111 -38.667
## 169 5751.0   8.825  229.664 225.498  75.751 0.234   4.354   4.435 -38.102
## 170 5751.5   8.876  223.939 214.037  72.412 0.239   4.465   4.672 -26.988
## 171 5752.0   8.851  223.149 214.544  67.829 0.249   4.481   4.661 -15.035
## 172 5752.5   8.817  230.331 233.060  63.233 0.260   4.342   4.291 -13.871
## 173 5753.0   8.832  247.286 269.126  63.103 0.273   4.044   3.716 -18.139
## 174 5753.5   8.817  272.455 308.937  71.395 0.288   3.670   3.237 -17.824
## 175 5754.0   8.850  298.425 337.072  83.232 0.294   3.351   2.967 -15.786
## 176 5754.5   8.885  322.077 352.056  89.320 0.281   3.105   2.841 -14.781
## 177 5755.0   8.883  342.260 360.649  86.392 0.259   2.922   2.773 -15.595
## 178 5755.5   8.883  354.899 363.721  79.049 0.245   2.818   2.749 -22.367
## 179 5756.0   8.883  355.370 353.396  72.593 0.237   2.814   2.830 -30.197
## 180 5756.5   8.883  346.423 329.824  68.646 0.226   2.887   3.032 -28.350
## 181 5757.0   8.884  333.514 306.944  65.899 0.201   2.998   3.258 -17.945
## 182 5757.5   8.859  320.776 294.268  61.714 0.157   3.117   3.398  -9.171
## 183 5758.0   8.835  312.154 286.462  55.154 0.145   3.204   3.491  -6.289
## 184 5758.5   8.849  310.394 284.101  48.476 0.134   3.222   3.520  -4.059
## 185 5759.0   8.851  311.832 294.349  46.894 0.138   3.207   3.397   4.740
## 186 5759.5   8.873  312.296 312.276  52.937 0.167   3.202   3.202  10.822
## 187 5760.0   8.885  313.466 326.600  61.835 0.201   3.190   3.062   3.608
## 188 5760.5   8.883  319.145 334.740  66.967 0.219   3.133   2.987  -8.134
## 189 5761.0   8.883  330.117 339.604  67.500 0.231   3.029   2.945 -12.672
## 190 5761.5   8.883  344.571 343.313  67.659 0.242   2.902   2.913 -10.676
## 191 5762.0   8.883  358.285 347.426  69.203 0.252   2.791   2.878  -5.540
## 192 5762.5   8.883  366.408 352.059  71.224 0.256   2.729   2.840   0.042
## 193 5763.0   8.883  368.829 355.923  72.471 0.250   2.711   2.810   0.318
## 194 5763.5   8.883  369.223 358.973  71.291 0.252   2.708   2.786  -2.366
## 195 5764.0   8.883  370.323 362.548  66.991 0.248   2.700   2.758  -1.688
## 196 5764.5   8.883  371.311 366.389  64.073 0.227   2.693   2.729  -0.903
## 197 5765.0   8.883  368.798 367.395  65.471 0.224   2.711   2.722  -7.052
## 198 5765.5   8.884  359.365 360.381  68.021 0.224   2.783   2.775 -17.704
## 199 5766.0   8.875  342.225 340.802  68.364 0.212   2.922   2.934 -25.341
## 200 5766.5   8.820  318.438 308.378  66.834 0.176   3.140   3.243 -29.919
## 201 5767.0   8.750  289.441 268.283  64.064 0.122   3.455   3.727 -37.549
## 202 5767.5   8.695  256.083 226.995  58.646 0.079   3.905   4.405 -51.726
## 203 5768.0   8.685  221.943 189.347  50.259 0.067   4.506   5.281 -63.854
## 204 5768.5   8.686  189.053 158.612  41.372 0.055   5.290   6.305 -61.185
## 205 5769.0   8.686  161.401 136.651  34.830 0.044   6.196   7.318 -48.523
## 206 5769.5   8.686  143.207 126.606  31.631 0.050   6.983   7.898 -44.711
## 207 5770.0   8.687  138.423 132.031  32.493 0.072   7.224   7.574 -52.385
## 208 5770.5   8.684  148.518 154.566  37.095 0.108   6.733   6.470 -55.930
## 209 5771.0   8.719  168.994 188.999  43.208 0.150   5.917   5.291 -49.513
## 210 5771.5   8.777  194.183 225.101  50.052 0.188   5.150   4.442 -42.803
## 211 5772.0   8.786  221.230 254.383  57.402 0.211   4.520   3.931 -40.613
## 212 5772.5   8.785  248.679 277.395  62.355 0.224   4.021   3.605 -38.988
## 213 5773.0   8.785  276.610 297.849  63.362 0.230   3.615   3.357 -36.910
## 214 5773.5   8.785  301.159 315.385  61.895 0.231   3.320   3.171 -35.907
## 215 5774.0   8.785  320.139 327.375  59.477 0.231   3.124   3.055 -31.800
## 216 5774.5   8.785  333.208 333.575  56.412 0.232   3.001   2.998 -23.276
## 217 5775.0   8.785  342.515 336.870  54.480 0.232   2.920   2.968 -15.708
## 218 5775.5   8.785  350.397 340.643  54.900 0.233   2.854   2.936 -13.954
## 219 5776.0   8.784  357.528 346.153  56.998 0.236   2.797   2.889 -18.513
## 220 5776.5   8.785  362.676 352.046  60.772 0.242   2.757   2.841 -24.472
## 221 5777.0   8.760  363.616 355.402  67.132 0.250   2.750   2.814 -22.893
## 222 5777.5   8.735  358.871 352.897  74.985 0.258   2.786   2.834 -14.587
## 223 5778.0   8.762  348.729 341.672  81.265 0.259   2.868   2.927 -10.889
## 224 5778.5   8.777  334.168 321.070  83.642 0.261   2.993   3.115 -18.789
## 225 5779.0   8.719  314.375 293.071  81.112 0.256   3.181   3.412 -33.017
## 226 5779.5   8.684  287.599 260.192  74.834 0.240   3.477   3.843 -41.902
## 227 5780.0   8.687  254.779 226.556  67.079 0.211   3.925   4.414 -43.037
## 228 5780.5   8.686  222.486 199.552  60.909 0.177   4.495   5.011 -44.079
## 229 5781.0   8.686  192.743 184.441  59.047 0.153   5.188   5.422 -45.915
## 230 5781.5   8.686  166.700 178.123  61.076 0.149   5.999   5.614 -41.798
## 231 5782.0   8.686  145.501 176.407  63.924 0.164   6.873   5.669 -33.021
## 232 5782.5   8.686  130.927 178.254  66.180 0.184   7.638   5.610 -27.758
## 233 5783.0   8.686  125.022 184.949  69.601 0.203   7.999   5.407 -29.827
## 234 5783.5   8.686  127.965 197.432  75.587 0.217   7.815   5.065 -32.414
## 235 5784.0   8.686  136.911 214.435  81.732 0.228   7.304   4.663 -27.074
## 236 5784.5   8.686  147.390 231.658  83.618 0.234   6.785   4.317 -18.387
## 237 5785.0   8.686  156.278 245.986  82.421 0.240   6.399   4.065 -16.299
## 238 5785.5   8.685  163.185 256.852  82.653 0.247   6.128   3.893 -13.286
## 239 5786.0   8.696  168.968 264.772  83.829 0.252   5.918   3.777   4.024
## 240 5786.5   8.717  173.730 269.785  83.775 0.252   5.756   3.707  20.918
## 241 5787.0   8.705  177.056 271.757  82.622 0.250   5.648   3.680  18.501
## 242 5787.5   8.727  178.795 271.386  82.651 0.249   5.593   3.685  -2.612
## 243 5788.0   8.753  179.055 269.411  84.126 0.249   5.585   3.712 -30.952
## 244 5788.5   8.743  178.416 265.994  85.133 0.252   5.605   3.760 -55.110
## 245 5789.0   8.742  177.874 261.487  83.821 0.256   5.622   3.824 -61.876
## 246 5789.5   8.778  177.880 257.132  81.086 0.258   5.622   3.889 -52.067
## 247 5790.0   8.777  178.239 253.894  79.164 0.260   5.610   3.939 -38.597
## 248 5790.5   8.729  179.273 252.115  79.864 0.262   5.578   3.967 -29.175
## 249 5791.0   8.715  181.612 252.115  82.235 0.264   5.506   3.966 -23.288
## 250 5791.5   8.707  185.436 254.247  82.955 0.264   5.393   3.933  -9.210
## 251 5792.0   8.716  190.602 257.847  82.312 0.261   5.247   3.878  12.932
## 252 5792.5   8.721  196.818 261.736  81.935 0.257   5.081   3.821  25.128
## 253 5793.0   8.710  203.240 265.558  81.282 0.254   4.920   3.766  21.230
## 254 5793.5   8.685  209.091 269.368  80.878 0.255   4.783   3.712  13.967
## 255 5794.0   8.711  214.291 272.370  81.457 0.256   4.667   3.671   6.974
## 256 5794.5   8.737  218.770 273.731  81.920 0.259   4.571   3.653  -1.268
## 257 5795.0   8.710  222.113 273.980  81.608 0.263   4.502   3.650  -2.078
## 258 5795.5   8.708  224.257 274.316  80.977 0.266   4.459   3.645   1.060
## 259 5796.0   8.745  225.409 275.087  80.617 0.267   4.436   3.635  -4.967
## 260 5796.5   8.752  225.601 275.801  82.194 0.272   4.433   3.626 -19.473
## 261 5797.0   8.754  225.101 276.158  84.679 0.285   4.442   3.621 -29.025
## 262 5797.5   8.719  224.406 276.352  85.890 0.288   4.456   3.619 -27.821
## 263 5798.0   8.708  223.737 276.450  85.673 0.290   4.470   3.617 -24.421
## 264 5798.5   8.719  223.118 276.249  85.159 0.286   4.482   3.620 -33.321
## 265 5799.0   8.752  222.630 275.694  84.904 0.287   4.492   3.627 -51.631
## 266 5799.5   8.764  222.263 275.063  85.332 0.289   4.499   3.635 -59.327
## 267 5800.0   8.749  221.978 274.728  85.130 0.288   4.505   3.640 -55.784
## 268 5800.5   8.753  221.842 274.896  84.213 0.285   4.508   3.638 -57.366
## 269 5801.0   8.774  222.030 275.630  83.500 0.281   4.504   3.628 -61.023
## 270 5801.5   8.789  222.801 277.130  82.856 0.276   4.488   3.608 -49.171
## 271 5802.0   8.750  224.491 279.530  82.385 0.272   4.455   3.577 -29.236
## 272 5802.5   8.727  226.997 282.137  83.209 0.267   4.405   3.544 -25.205
## 273 5803.0   8.777  229.296 283.795  83.911 0.264   4.361   3.524 -32.334
## 274 5803.5   8.753  229.672 283.705  82.670 0.262   4.354   3.525 -27.528
## 275 5804.0   8.694  226.613 280.564  81.612 0.262   4.413   3.564 -16.881
## 276 5804.5   8.686  219.292 271.220  81.902 0.263   4.560   3.687 -17.035
## 277 5805.0   8.678  207.496 252.840  81.630 0.260   4.819   3.955 -16.411
## 278 5805.5   8.621  191.406 227.040  79.018 0.243   5.225   4.405  -4.650
## 279 5806.0   8.586  172.015 198.881  74.402 0.211   5.813   5.028   1.223
## 280 5806.5   8.588  151.181 172.559  67.680 0.177   6.615   5.795  -9.986
## 281 5807.0   8.588  129.700 147.135  60.430 0.167   7.710   6.797 -30.158
## 282 5807.5   8.588  106.726 122.255  55.445 0.158   9.370   8.180 -47.861
## 283 5808.0   8.588   83.963  99.440  53.330 0.151  11.910  10.056 -48.123
## 284 5808.5   8.588   64.030  81.046  51.726 0.142  15.618  12.339 -32.592
## 285 5809.0   8.588   48.912  66.573  49.024 0.129  20.445  15.021 -23.411
## 286 5809.5   8.588   39.573  55.973  45.149 0.115  25.270  17.866 -29.845
## 287 5810.0   8.588   36.148  50.027  40.558 0.100  27.664  19.989 -40.416
## 288 5810.5   8.588   35.923  47.789  36.092 0.085  27.838  20.925 -48.316
## 289 5811.0   8.588   35.281  46.025  32.883 0.071  28.344  21.727 -52.295
## 290 5811.5   8.588   33.112  42.589  31.523 0.059  30.201  23.480 -53.726
## 291 5812.0   8.588   30.654  37.786  31.117 0.050  32.622  26.465 -55.663
## 292 5812.5   8.588   28.766  32.904  30.446 0.043  34.763  30.391 -56.247
## 293 5813.0   8.588   27.375  28.731  29.703 0.037  36.529  34.806 -52.338
## 294 5813.5   8.588   26.425  25.469  29.152 0.031  37.843  39.264 -44.176
## 295 5814.0   8.588   25.646  22.969  27.810 0.026  38.992  43.537 -35.849
## 296 5814.5   8.588   24.486  20.855  26.103 0.021  40.839  47.951 -32.413
## 297 5815.0   8.588   22.917  18.962  25.828 0.017  43.635  52.736 -31.343
## 298 5815.5   8.588   21.407  17.498  27.802 0.015  46.713  57.148 -27.433
## 299 5816.0   8.588   20.095  16.530  30.636 0.015  49.765  60.497 -22.656
## 300 5816.5   8.587   18.910  15.915  32.983 0.016  52.882  62.834 -22.967
## 301 5817.0   8.588   18.007  15.742  34.204 0.019  55.535  63.525 -29.707
## 302 5817.5   8.564   17.443  16.108  34.833 0.022  57.331  62.083 -36.633
## 303 5818.0   8.538   17.064  16.691  36.249 0.034  58.601  59.913 -32.184
## 304 5818.5   8.564   16.938  17.193  38.675 0.056  59.038  58.164 -14.288
## 305 5819.0   8.563   17.277  17.898  41.279 0.088  57.881  55.872   3.177
## 306 5819.5   8.563   18.021  19.160  44.154 0.136  55.491  52.193   6.512
## 307 5820.0   8.589   18.777  20.677  48.234 0.193  53.256  48.362  -2.257
## 308 5820.5   8.587   19.158  21.860  52.297 0.238  52.197  45.745 -13.485
## 309 5821.0   8.588   19.239  22.440  53.231 0.258  51.979  44.563 -25.262
## 310 5821.5   8.588   19.210  22.303  49.368 0.265  52.055  44.836 -37.982
## 311 5822.0   8.588   18.845  21.197  42.646 0.258  53.064  47.178 -47.068
## 312 5822.5   8.587   17.743  19.204  35.890 0.246  56.362  52.072 -50.614
## 313 5823.0   8.589   16.037  16.968  30.687 0.237  62.357  58.935 -50.035
## 314 5823.5   8.563   14.196  15.144  27.919 0.223  70.445  66.031 -45.280
## 315 5824.0   8.563   12.526  13.868  27.042 0.209  79.837  72.106 -40.774
## 316 5824.5   8.589   11.127  12.950  26.273 0.202  89.870  77.219 -45.208
## 317 5825.0   8.587   10.092  12.233  25.243 0.199  99.091  81.744 -52.780
## 318 5825.5   8.588    9.455  11.696  25.012 0.198 105.760  85.501 -50.856
## 319 5826.0   8.588    9.039  11.307  25.425 0.198 110.627  88.440 -41.124
## 320 5826.5   8.588    8.695  10.985  25.463 0.195 115.006  91.035 -38.940
## 321 5827.0   8.588    8.425  10.695  24.896 0.191 118.698  93.501 -50.852
## 322 5827.5   8.588    8.245  10.440  24.234 0.189 121.284  95.782 -67.040
## 323 5828.0   8.588    8.127  10.167  23.474 0.189 123.050  98.353 -73.950
## 324 5828.5   8.588    8.032   9.941  22.676 0.191 124.498 100.589 -71.495
## 325 5829.0   8.588    7.969   9.998  22.149 0.194 125.486 100.017 -69.495
## 326 5829.5   8.588    7.955  10.292  22.766 0.194 125.702  97.168 -66.201
## 327 5830.0   8.588    7.967  10.436  24.034 0.192 125.523  95.825 -54.542
## 328 5830.5   8.588    7.964  10.284  25.001 0.190 125.562  97.235 -44.783
## 329 5831.0   8.588    7.936  10.123  25.394 0.188 126.008  98.782 -47.977
## 330 5831.5   8.588    7.931  10.112  25.831 0.187 126.084  98.896 -52.414
## 331 5832.0   8.588    8.013  10.107  26.434 0.185 124.799  98.943 -45.110
## 332 5832.5   8.588    8.163  10.070  27.196 0.183 122.497  99.304 -35.242
## 333 5833.0   8.588    8.349  10.159  28.068 0.184 119.779  98.436 -32.892
## 334 5833.5   8.588    8.727  10.504  28.516 0.193 114.586  95.202 -32.565
## 335 5834.0   8.588    9.416  11.238  27.980 0.204 106.201  88.984 -26.871
## 336 5834.5   8.588   10.104  12.353  26.782 0.207  98.973  80.954 -19.615
## 337 5835.0   8.588   10.568  13.269  26.462 0.207  94.622  75.362 -18.143
## 338 5835.5   8.588   11.061  13.565  27.462 0.215  90.411  73.721 -23.974
## 339 5836.0   8.588   11.855  13.727  28.794 0.221  84.353  72.851 -35.205
## 340 5836.5   8.588   12.939  14.472  29.132 0.217  77.286  69.100 -48.249
## 341 5837.0   8.588   14.262  15.954  28.212 0.211  70.114  62.681 -56.359
## 342 5837.5   8.588   15.465  17.927  28.343 0.207  64.661  55.783 -56.850
## 343 5838.0   8.588   15.948  19.670  33.199 0.206  62.705  50.839 -52.475
## 344 5838.5   8.588   15.837  20.285  42.932 0.209  63.142  49.298 -46.477
## 345 5839.0   8.588   15.960  19.982  53.224 0.215  62.657  50.046 -46.257
## 346 5839.5   8.588   16.720  19.882  59.646 0.222  59.808  50.297 -54.566
## 347 5840.0   8.588   17.781  20.336  60.212 0.226  56.238  49.173 -61.195
## 348 5840.5   8.588   18.655  20.952  57.709 0.225  53.604  47.728 -56.993
## 349 5841.0   8.588   19.139  21.717  54.547 0.224  52.249  46.048 -45.867
## 350 5841.5   8.588   19.390  22.760  51.116 0.226  51.573  43.937 -34.957
## 351 5842.0   8.588   19.674  24.013  48.594 0.225  50.829  41.644 -25.349
## 352 5842.5   8.588   20.215  25.817  46.929 0.212  49.468  38.734 -18.233
## 353 5843.0   8.588   21.712  29.432  43.158 0.200  46.056  33.977 -14.730
## 354 5843.5   8.588   25.363  36.735  38.381 0.192  39.427  27.222 -13.262
## 355 5844.0   8.588   31.889  48.497  37.670 0.193  31.358  20.620 -15.333
## 356 5844.5   8.588   41.842  64.301  42.085 0.209  23.899  15.552 -25.532
## 357 5845.0   8.588   56.653  84.463  49.931 0.235  17.652  11.840 -33.477
## 358 5845.5   8.588   75.205 108.906  59.370 0.262  13.297   9.182 -25.103
## 359 5846.0   8.588   93.814 134.149  68.383 0.286  10.659   7.454 -16.237
## 360 5846.5   8.588  108.762 153.295  75.429 0.295   9.194   6.523 -23.111
## 361 5847.0   8.588  119.808 162.135  79.962 0.304   8.347   6.168 -31.431
## 362 5847.5   8.588  131.022 164.460  78.902 0.310   7.632   6.081 -27.972
## 363 5848.0   8.588  145.621 170.211  70.933 0.304   6.867   5.875 -22.820
## 364 5848.5   8.588  162.165 184.661  62.105 0.288   6.167   5.415 -21.430
## 365 5849.0   8.588  178.543 204.671  60.664 0.274   5.601   4.886 -15.891
## 366 5849.5   8.588  195.652 227.480  65.942 0.268   5.111   4.396  -4.573
## 367 5850.0   8.588  216.658 252.066  71.218 0.266   4.616   3.967  -0.281
## 368 5850.5   8.588  242.925 277.219  73.074 0.264   4.116   3.607 -10.418
## 369 5851.0   8.588  274.372 301.788  73.254 0.261   3.645   3.314 -20.713
## 370 5851.5   8.588  306.271 325.096  73.396 0.253   3.265   3.076 -19.745
## 371 5852.0   8.588  333.446 343.655  72.650 0.243   2.999   2.910 -16.142
## 372 5852.5   8.588  349.971 351.706  70.084 0.235   2.857   2.843 -17.070
## 373 5853.0   8.588  349.177 343.359  66.647 0.226   2.864   2.912 -17.390
## 374 5853.5   8.588  327.543 315.062  62.838 0.222   3.053   3.174 -17.401
## 375 5854.0   8.588  290.072 270.645  57.347 0.221   3.447   3.695 -19.838
## 376 5854.5   8.588  247.545 219.582  50.170 0.222   4.040   4.554 -19.474
## 377 5855.0   8.588  208.981 170.669  43.110 0.225   4.785   5.859 -10.625
## 378 5855.5   8.588  169.996 127.866  37.631 0.228   5.883   7.821   3.656
## 379 5856.0   8.588  129.701  93.059  35.090 0.232   7.710  10.746  11.737
## 380 5856.5   8.588   92.702  66.739  35.113 0.238  10.787  14.984   2.136
## 381 5857.0   8.588   65.856  48.242  35.333 0.241  15.185  20.729 -18.440
## 382 5857.5   8.588   49.541  37.005  34.479 0.244  20.185  27.024 -31.007
## 383 5858.0   8.588   41.407  30.538  33.339 0.245  24.150  32.746 -33.234
## 384 5858.5   8.588   38.413  26.746  33.282 0.240  26.033  37.388 -35.160
## 385 5859.0   8.588   37.664  25.233  34.645 0.239  26.551  39.631 -34.471
## 386 5859.5   8.588   37.354  25.023  37.034 0.243  26.771  39.963 -28.905
## 387 5860.0   8.588   36.792  24.946  39.376 0.245  27.180  40.087 -28.497
## 388 5860.5   8.588   35.974  24.759  41.180 0.249  27.798  40.390 -36.150
## 389 5861.0   8.588   35.136  24.639  42.354 0.253  28.461  40.586 -39.541
## 390 5861.5   8.588   34.520  24.701  43.473 0.255  28.969  40.484 -36.232
## 391 5862.0   8.588   34.498  24.921  44.493 0.254  28.987  40.126 -36.102
## 392 5862.5   8.588   35.439  25.176  44.288 0.252  28.218  39.721 -35.006
## 393 5863.0   8.588   37.125  25.347  42.617 0.251  26.936  39.453 -24.792
## 394 5863.5   8.588   38.779  25.502  41.534 0.250  25.787  39.213 -14.225
## 395 5864.0   8.588   39.933  25.771  42.324 0.252  25.042  38.803 -17.738
## 396 5864.5   8.588   40.748  26.139  43.256 0.257  24.541  38.256 -29.345
## 397 5865.0   8.588   41.356  26.601  41.476 0.264  24.180  37.592 -30.518
## 398 5865.5   8.588   41.909  27.203  37.175 0.266  23.861  36.761 -18.245
## 399 5866.0   8.588   42.793  28.031  33.152 0.263  23.368  35.674  -9.312
## 400 5866.5   8.588   44.226  29.198  31.944 0.261  22.611  34.249 -13.582
## 401 5867.0   8.588   46.015  30.707  33.204 0.260  21.732  32.566 -22.105
## 402 5867.5   8.588   47.753  32.308  34.499 0.259  20.941  30.952 -22.359
## 403 5868.0   8.588   49.059  33.864  34.398 0.254  20.383  29.530 -13.959
## 404 5868.5   8.588   49.826  35.523  34.055 0.246  20.070  28.151 -12.012
## 405 5869.0   8.588   50.449  37.499  34.131 0.243  19.822  26.667 -24.988
## 406 5869.5   8.588   51.679  39.935  34.700 0.245  19.350  25.041 -37.784
## 407 5870.0   8.588   54.406  43.398  35.993 0.246  18.380  23.042 -34.971
## 408 5870.5   8.588   58.920  49.000  37.361 0.243  16.972  20.408 -22.106
## 409 5871.0   8.588   64.706  57.105  38.337 0.236  15.455  17.512 -11.450
## 410 5871.5   8.588   71.987  67.058  40.475 0.233  13.892  14.913  -6.276
## 411 5872.0   8.588   81.095  78.844  43.732 0.232  12.331  12.683  -4.506
## 412 5872.5   8.588   89.537  92.638  46.016 0.229  11.169  10.795  -6.644
## 413 5873.0   8.588   94.215 105.805  47.495 0.224  10.614   9.451 -12.643
## 414 5873.5   8.588   96.460 114.889  47.863 0.220  10.367   8.704 -18.061
## 415 5874.0   8.588  100.433 121.371  46.164 0.214   9.957   8.239 -16.998
## 416 5874.5   8.588  109.811 131.574  43.541 0.210   9.107   7.600  -9.858
## 417 5875.0   8.588  127.644 150.928  43.290 0.211   7.834   6.626  -6.619
## 418 5875.5   8.588  154.922 180.288  46.853 0.208   6.455   5.547 -15.288
## 419 5876.0   8.588  187.921 217.112  55.135 0.208   5.321   4.606 -24.533
## 420 5876.5   8.588  221.420 257.074  66.740 0.212   4.516   3.890 -19.293
## 421 5877.0   8.588  254.314 295.764  78.295 0.221   3.932   3.381  -9.786
## 422 5877.5   8.588  287.305 330.706  85.483 0.233   3.481   3.024 -12.019
## 423 5878.0   8.588  317.538 361.138  86.535 0.237   3.149   2.769 -23.554
## 424 5878.5   8.588  347.923 387.751  84.415 0.238   2.874   2.579 -32.804
## 425 5879.0   8.588  379.542 411.987  83.591 0.248   2.635   2.427 -32.978
## 426 5879.5   8.588  407.723 433.903  84.797 0.255   2.453   2.305 -27.289
## 427 5880.0   8.588  429.465 452.565  88.371 0.261   2.329   2.210 -27.761
## 428 5880.5   8.588  447.193 468.000  94.450 0.273   2.236   2.137 -34.665
## 429 5881.0   8.588  463.536 480.680  98.801 0.288   2.157   2.080 -34.719
## 430 5881.5   8.588  476.470 491.737 100.389 0.300   2.099   2.034 -28.507
## 431 5882.0   8.588  485.796 501.992 102.304 0.308   2.059   1.992 -28.957
## 432 5882.5   8.588  492.960 510.840 104.160 0.313   2.029   1.958 -36.701
## 433 5883.0   8.588  498.941 517.523 102.373 0.317   2.004   1.932 -40.276
## 434 5883.5   8.588  504.378 523.301  98.344 0.319   1.983   1.911 -35.806
## 435 5884.0   8.588  510.435 530.527  96.969 0.319   1.959   1.885 -30.020
## 436 5884.5   8.588  517.992 540.253  99.315 0.319   1.931   1.851 -28.864
## 437 5885.0   8.588  526.231 552.576 101.789 0.325   1.900   1.810 -33.402
## 438 5885.5   8.588  533.826 565.711 102.294 0.334   1.873   1.768 -40.061
## 439 5886.0   8.588  541.051 577.757 102.432 0.338   1.848   1.731 -40.362
## 440 5886.5   8.588  548.548 587.378 103.271 0.338   1.823   1.702 -33.289
## 441 5887.0   8.588  556.528 594.887 104.091 0.352   1.797   1.681 -32.717
## 442 5887.5   8.588  565.220 601.691 105.144 0.381   1.769   1.662 -40.938
## 443 5888.0   8.588  573.543 608.438 106.272 0.395   1.743   1.644 -39.144
## 444 5888.5   8.588  578.303 612.861 106.907 0.395   1.729   1.632 -27.744
## 445 5889.0   8.588  577.119 610.891 108.067 0.401   1.733   1.637 -29.811
## 446 5889.5   8.588  572.159 602.302 109.935 0.402   1.748   1.660 -41.723
## 447 5890.0   8.587  568.674 592.701 110.756 0.403   1.758   1.687 -40.388
## 448 5890.5   8.590  567.360 587.049 110.501 0.402   1.763   1.703 -29.728
## 449 5891.0   8.555  562.515 583.427 111.210 0.395   1.778   1.714 -26.547
## 450 5891.5   8.498  550.984 576.528 111.676 0.384   1.815   1.735 -31.723
## 451 5892.0   8.488  535.251 564.342 111.365 0.371   1.868   1.772 -37.954
## 452 5892.5   8.490  517.409 548.500 112.286 0.357   1.933   1.823 -42.839
## 453 5893.0   8.490  497.254 531.159 112.397 0.340   2.011   1.883 -44.366
## 454 5893.5   8.490  473.381 511.920 107.713 0.328   2.112   1.953 -41.188
## 455 5894.0   8.490  444.421 489.246 100.488 0.319   2.250   2.044 -33.131
## 456 5894.5   8.490  414.425 464.611  95.062 0.309   2.413   2.152 -23.712
## 457 5895.0   8.490  386.934 439.596  89.907 0.295   2.584   2.275 -17.555
## 458 5895.5   8.490  361.826 411.586  82.374 0.282   2.764   2.430 -18.152
## 459 5896.0   8.490  332.784 378.802  73.221 0.279   3.005   2.640 -25.413
## 460 5897.0   8.490  256.084 292.891  58.146 0.279   3.905   3.414 -34.640
## 461 5897.5   8.490  217.849 239.164  53.848 0.281   4.590   4.181 -32.349
## 462 5898.0   8.490  181.175 190.005  52.426 0.280   5.519   5.263 -26.569
## 463 5898.5   8.490  145.639 152.401  53.798 0.282   6.866   6.562 -24.443
## 464 5899.0   8.490  110.132 119.997  55.173 0.287   9.080   8.333 -38.254
## 465 5899.5   8.490   78.453  89.547  54.247 0.290  12.747  11.167 -57.541
## 466 5900.0   8.490   56.671  65.198  52.414 0.289  17.646  15.338 -55.923
## 467 5900.5   8.490   45.589  49.352  51.057 0.286  21.935  20.262 -36.912
## 468 5901.0   8.490   39.611  39.857  49.126 0.283  25.246  25.090 -27.936
## 469 5901.5   8.490   35.226  33.418  46.298 0.278  28.388  29.924 -30.482
## 470 5902.0   8.490   31.780  28.739  42.799 0.269  31.466  34.797 -32.117
## 471 5902.5   8.490   29.079  25.428  39.180 0.260  34.389  39.326 -37.693
## 472 5903.0   8.490   27.107  23.268  36.473 0.253  36.891  42.977 -37.470
## 473 5903.5   8.490   25.800  21.963  34.839 0.250  38.760  45.531 -15.592
## 474 5904.0   8.490   24.798  21.066  33.340 0.247  40.326  47.470   3.778
## 475 5904.5   8.490   23.747  20.322  32.160 0.243  42.111  49.207  -7.033
## 476 5905.0   8.490   22.597  19.714  31.853 0.240  44.254  50.726 -29.528
## 477 5905.5   8.490   21.642  19.089  32.235 0.241  46.207  52.386 -36.685
## 478 5906.5   8.490   21.207  17.472  31.960 0.243  47.155  57.235 -32.716
## 479 5907.0   8.490   20.799  16.760  31.389 0.246  48.080  59.668 -33.135
## 480 5907.5   8.490   19.903  16.175  32.410 0.254  50.245  61.822 -33.501
## 481 5908.0   8.490   18.890  15.595  34.627 0.263  52.939  64.121 -31.056
## 482 5908.5   8.488   17.913  15.018  36.770 0.267  55.827  66.588 -10.740
## 483 5909.0   8.500   16.968  14.580  39.313 0.268  58.933  68.587  13.993
## 484 5909.5   8.522   16.052  14.278  42.426 0.266  62.299  70.037  12.456
## 485 5910.0   8.498   15.168  13.963  43.946 0.264  65.926  71.619  -9.897
## 486 5910.5   8.498   14.318  13.593  43.849 0.264  69.842  73.566 -23.451
## 487 5911.0   8.522   13.522  13.243  43.890 0.264  73.956  75.510 -23.510
## 488 5911.5   8.500   12.810  12.960  44.599 0.264  78.063  77.162 -11.738
## 489 5912.0   8.488   12.191  12.753  44.200 0.265  82.028  78.413   3.525
## 490 5912.5   8.490   11.651  12.573  43.033 0.264  85.832  79.535   4.490
## 491 5913.0   8.490   11.180  12.386  42.880 0.264  89.445  80.738  -6.342
## 492 5913.5   8.490   10.757  12.189  43.639 0.259  92.962  82.043 -12.468
## 493 5914.0   8.490   10.325  12.001  43.533 0.262  96.852  83.323 -15.181
## 494 5914.5   8.490    9.874  11.803  43.279 0.262 101.279  84.726 -22.706
## 495 5915.0   8.490    9.448  11.522  43.820 0.263 105.842  86.791 -31.993
## 496 5915.5   8.490    9.073  11.156  44.002 0.262 110.224  89.641 -43.904
## 497 5916.0   8.490    8.740  10.836  42.589 0.257 114.420  92.287 -54.716
## 498 5916.5   8.490    8.419  10.605  40.667 0.246 118.783  94.292 -54.002
## 499 5917.0   8.490    8.103  10.333  38.969 0.228 123.407  96.778 -47.046
## 500 5917.5   8.490    7.825   9.997  37.522 0.213 127.794 100.026 -46.571
## 501 5918.0   8.490    7.562   9.766  36.375 0.204 132.237 102.400 -52.414
## 502 5918.5   8.490    7.287   9.669  35.001 0.202 137.234 103.422 -59.354
## 503 5919.0   8.490    7.063   9.594  32.748 0.200 141.574 104.236 -65.922
## 504 5919.5   8.490    6.950   9.516  30.390 0.199 143.879 105.088 -66.409
## 505 5920.0   8.490    6.886   9.467  28.841 0.196 145.228 105.635 -60.144
## 506 5920.5   8.490    6.813   9.426  27.273 0.192 146.778 106.086 -56.927
## 507 5921.0   8.490    6.735   9.386  24.993 0.188 148.482 106.542 -58.361
## 508 5921.5   8.490    6.668   9.401  22.872 0.183 149.976 106.366 -52.962
## 509 5922.0   8.490    6.632   9.475  21.973 0.179 150.787 105.543 -41.900
## 510 5922.5   8.490    6.611   9.547  22.164 0.179 151.272 104.749 -38.532
## 511 5923.0   8.490    6.571   9.618  22.547 0.185 152.174 103.971 -41.638
## 512 5923.5   8.490    6.535   9.725  22.890 0.197 153.018 102.831 -40.721
## 513 5924.0   8.490    6.532   9.842  23.339 0.210 153.085 101.605 -37.949
## 514 5924.5   8.490    6.587   9.950  24.493 0.219 151.825 100.501 -40.070
## 515 5925.0   8.490    6.674  10.104  25.666 0.222 149.831  98.970 -41.703
## 516 5925.5   8.490    6.764  10.354  25.963 0.223 147.837  96.582 -34.286
## 517 5926.0   8.490    6.902  10.690  25.668 0.224 144.888  93.548 -24.111
## 518 5927.0   8.490    7.409  11.332  26.325 0.231 134.980  88.247 -41.157
## 519 5927.5   8.490    7.658  11.699  27.115 0.238 130.584  85.478 -45.872
## 520 5928.5   8.490    8.226  12.716  26.075 0.243 121.559  78.640 -40.928
## 521 5929.0   8.490    8.486  13.112  27.835 0.245 117.848  76.267 -47.834
## 522 5929.5   8.490    8.668  13.397  30.262 0.244 115.365  74.645 -51.895
## 523 5930.0   8.490    8.830  13.653  30.844 0.242 113.248  73.244 -51.111
## 524 5930.5   8.490    9.049  13.894  30.980 0.241 110.508  71.976 -49.106
## 525 5931.0   8.490    9.298  14.101  32.179 0.246 107.550  70.918 -51.137
## 526 5931.5   8.490    9.485  14.276  34.124 0.251 105.432  70.046 -55.900
## 527 5932.0   8.490    9.609  14.415  35.553 0.254 104.072  69.374 -51.117
## 528 5932.5   8.490    9.722  14.509  36.109 0.253 102.863  68.923 -42.795
## 529 5933.0   8.490    9.872  14.643  36.130 0.250 101.294  68.292 -48.490
## 530 5933.5   8.490   10.087  14.891  36.562 0.250  99.136  67.154 -60.083
## 531 5934.0   8.490   10.369  15.253  37.828 0.251  96.444  65.561 -57.762
## 532 5935.0   8.490   11.156  16.392  40.223 0.250  89.640  61.004 -33.257
## 533 5935.5   8.490   11.675  17.175  40.992 0.250  85.655  58.224 -22.275
## 534 5936.0   8.490   12.257  17.993  42.252 0.251  81.590  55.578 -12.437
## 535 5936.5   8.489   12.920  18.854  42.624 0.251  77.400  53.039  -4.602
## 536 5937.0   8.514   13.738  19.889  41.677 0.254  72.790  50.279  -1.911
## 537 5937.5   8.540   14.757  21.181  40.877 0.260  67.766  47.213  -6.767
## 538 5938.0   8.514   15.859  22.577  42.150 0.266  63.055  44.293 -13.884
## 539 5938.5   8.489   16.838  23.779  44.049 0.270  59.389  42.054 -18.511
## 540 5939.0   8.490   17.562  24.586  43.929 0.271  56.940  40.674 -24.860
## 541 5939.5   8.490   18.033  25.019  41.379 0.268  55.454  39.969 -35.192
## 542 5940.0   8.490   18.347  25.210  38.675 0.258  54.503  39.666 -41.733
## 543 5940.5   8.490   18.672  25.287  36.692 0.247  53.556  39.546 -39.872
## 544 5941.0   8.490   19.050  25.300  35.042 0.243  52.494  39.525 -35.498
## 545 5941.5   8.490   19.296  25.210  33.704 0.245  51.823  39.667 -33.768
## 546 5942.0   8.490   19.272  24.950  33.169 0.247  51.887  40.080 -32.673
## 547 5942.5   8.490   19.126  24.584  34.177 0.248  52.284  40.678 -30.312
## 548 5943.0   8.490   19.105  24.294  36.542 0.250  52.341  41.163 -28.852
## 549 5944.0   8.490   19.567  24.548  39.054 0.251  51.107  40.737 -20.952
## 550 5944.5   8.490   19.889  25.093  38.500 0.253  50.278  39.851 -12.601
## 551 5945.0   8.490   20.454  25.787  39.981 0.254  48.891  38.779  -4.595
## 552 5945.5   8.490   21.205  26.403  42.803 0.257  47.159  37.875  -2.946
## 553 5946.0   8.490   21.868  26.384  43.609 0.259  45.729  37.902 -11.555
## 554 5946.5   8.490   22.644  26.090  41.897 0.257  44.162  38.328 -24.090
## 555 5947.0   8.490   23.660  26.820  40.345 0.258  42.266  37.286 -30.016
## 556 5947.5   8.490   24.547  28.766  40.890 0.264  40.739  34.763 -28.250
## 557 5948.0   8.490   25.193  30.116  42.344 0.271  39.694  33.205 -26.658
## 558 5948.5   8.490   25.804  29.874  42.444 0.279  38.754  33.474 -28.306
## 559 5949.0   8.490   26.202  29.022  41.392 0.283  38.165  34.457 -26.933
## 560 5949.5   8.490   26.421  28.804  40.876 0.284  37.848  34.717 -21.973
## 561 5950.0   8.489   26.833  29.266  41.036 0.284  37.268  34.169 -21.363
## 562 5950.5   8.514   27.490  30.052  41.028 0.284  36.376  33.275 -21.834
## 563 5951.0   8.513   28.273  30.913  40.608 0.284  35.369  32.349 -15.668
## 564 5951.5   8.497   29.337  31.725  40.406 0.283  34.086  31.521  -8.995
## 565 5952.0   8.531   30.577  32.447  40.898 0.281  32.705  30.820  -8.157
## 566 5952.5   8.542   31.668  33.142  41.437 0.279  31.577  30.174 -11.358
## 567 5953.0   8.530   32.571  33.936  41.261 0.277  30.702  29.467 -18.876
## 568 5953.5   8.497   33.489  34.905  40.607 0.275  29.860  28.649 -29.318
## 569 5954.0   8.498   34.404  35.967  40.285 0.273  29.066  27.803 -34.078
## 570 5954.5   8.546   35.076  37.020  40.741 0.268  28.510  27.012 -36.683
## 571 5955.0   8.550   35.456  38.119  42.206 0.265  28.204  26.234 -45.203
## 572 5955.5   8.511   36.089  39.388  43.531 0.264  27.709  25.389 -52.543
## 573 5956.0   8.514   37.578  40.909  43.762 0.268  26.611  24.444 -50.492
## 574 5956.5   8.515   39.940  42.840  43.825 0.272  25.037  23.342 -45.792
## 575 5957.0   8.489   43.021  45.322  44.583 0.272  23.244  22.064 -42.245
## 576 5957.5   8.489   46.541  48.245  45.759 0.270  21.486  20.728 -37.078
## 577 5958.0   8.513   50.386  51.428  47.869 0.271  19.847  19.445 -34.172
## 578 5958.5   8.523   54.522  54.970  50.639 0.273  18.341  18.192 -36.016
## 579 5959.5   8.531   65.146  64.702  49.860 0.276  15.350  15.455 -32.695
## 580 5960.0   8.508   72.859  72.423  47.227 0.280  13.725  13.808 -33.076
## 581 5960.5   8.521   83.422  84.713  45.037 0.282  11.987  11.805 -38.577
## 582 5961.0   8.499   99.302 104.097  44.344 0.282  10.070   9.606 -43.425
## 583 5961.5   8.512  126.253 132.141  46.356 0.281   7.921   7.568 -47.238
## 584 5962.0   8.540  166.941 169.172  49.354 0.283   5.990   5.911 -53.444
## 585 5962.5   8.514  218.810 216.730  50.819 0.282   4.570   4.614 -54.350
## 586 5963.0   8.489  276.837 273.133  50.504 0.280   3.612   3.661 -42.196
## 587 5963.5   8.488  337.482 330.002  49.784 0.278   2.963   3.030 -28.771
## 588 5964.0   8.498  396.153 380.129  48.829 0.273   2.524   2.631 -28.615
## 589 5964.5   8.531  451.672 422.377  47.916 0.272   2.214   2.368 -34.485
## 590 5965.0   8.557  507.850 457.204  48.177 0.273   1.969   2.187 -32.868
## 591 5965.5   8.523  559.204 485.141  49.811 0.271   1.788   2.061 -27.665
## 592 5966.0   8.487  602.761 508.549  51.001 0.266   1.659   1.966 -25.973
## 593 5966.5   8.488  637.662 531.306  50.313 0.256   1.568   1.882 -24.977
## 594 5967.0   8.524  665.292 557.416  47.451 0.239   1.503   1.794 -20.776
## 595 5967.5   8.571  687.231 586.643  43.313 0.224   1.455   1.705 -16.594
## 596 5968.0   8.547  705.502 617.035  39.586 0.224   1.417   1.621 -15.138
## 597 5968.5   8.522  721.618 645.029  37.971 0.238   1.386   1.550 -13.124
## 598 5969.0   8.547  734.683 667.113  38.252 0.254   1.361   1.499  -9.640
## 599 5969.5   8.524  745.811 681.135  38.428 0.260   1.341   1.468 -11.662
## 600 5970.0   8.512  756.048 688.806  37.893 0.260   1.323   1.452 -24.173
## 601 5970.5   8.514  764.641 693.755  37.856 0.263   1.308   1.441 -39.275
## 602 5971.0   8.496  769.484 698.172  38.064 0.270   1.300   1.432 -42.211
## 603 5971.5   8.557  769.272 702.321  37.876 0.276   1.300   1.424 -31.357
## 604 5972.0   8.557  764.677 706.202  37.666 0.279   1.308   1.416 -21.101
## 605 5972.5   8.495  757.882 710.433  37.647 0.278   1.319   1.408 -19.478
## 606 5973.0   8.521  751.484 715.100  37.027 0.275   1.331   1.398 -20.754
## 607 5973.5   8.580  747.943 719.703  36.583 0.274   1.337   1.390 -19.218
## 608 5974.0   8.590  748.166 724.318  37.766 0.272   1.337   1.381 -12.385
## 609 5974.5   8.565  749.961 729.308  41.098 0.273   1.333   1.371  -2.410
## 610 5975.0   8.553  750.096 732.594  44.709 0.275   1.333   1.365   0.878
## 611 5975.5   8.558  747.725 730.685  46.419 0.280   1.337   1.369  -9.478
## 612 5976.0   8.569  744.153 723.870  46.939 0.289   1.344   1.382 -25.715
## 613 5976.5   8.547  740.415 717.304  47.320 0.296   1.351   1.394 -33.724
## 614 5977.0   8.546  736.816 715.132  46.740 0.296   1.357   1.398 -28.413
## 615 5977.5   8.554  733.066 715.809  45.278 0.294   1.364   1.397 -16.811
## 616 5978.0   8.565  727.884 714.824  44.429 0.291   1.374   1.399 -12.303
## 617 5978.5   8.563  721.085 710.586  44.354 0.289   1.387   1.407 -18.652
## 618 5979.0   8.565  715.390 705.844  44.268 0.289   1.398   1.417 -22.090
## 619 5979.5   8.555  713.208 704.604  44.393 0.292   1.402   1.419 -13.015
## 620 5980.0   8.520  713.153 708.089  45.118 0.297   1.402   1.412  -1.294
## 621 5980.5   8.548  712.136 713.398  46.801 0.300   1.404   1.402   3.811
## 622 5981.0   8.547  708.904 716.668  49.061 0.300   1.411   1.395   3.932
## 623 5981.5   8.499  704.146 716.100  51.623 0.298   1.420   1.396   0.847
## 624 5982.0   8.512  698.580 710.998  54.552 0.296   1.431   1.406  -5.909
## 625 5982.5   8.538  691.916 700.026  56.957 0.292   1.445   1.429 -14.445
## 626 5983.0   8.523  683.400 682.709  57.644 0.287   1.463   1.465 -19.411
## 627 5983.5   8.545  673.568 661.210  57.222 0.280   1.485   1.512 -13.581
## 628 5984.0   8.535  662.300 638.983  57.568 0.271   1.510   1.565   0.291
## 629 5984.5   8.517  649.377 617.897  59.447 0.262   1.540   1.618   8.271
## 630 5985.0   8.533  636.177 598.710  61.089 0.257   1.572   1.670   1.599
## 631 5985.5   8.581  624.603 583.898  60.439 0.253   1.601   1.713 -12.357
## 632 5986.0   8.554  616.137 575.410  58.249 0.253   1.623   1.738 -23.154
## 633 5986.5   8.532  611.848 573.374  56.768 0.256   1.634   1.744 -30.655
## 634 5987.0   8.568  611.979 576.912  56.437 0.259   1.634   1.733 -34.697
## 635 5987.5   8.559  616.094 585.322  57.005 0.260   1.623   1.709 -32.236
## 636 5988.0   8.569  623.367 597.047  58.780 0.259   1.604   1.675 -27.445
## 637 5989.0   8.520  638.414 615.987  61.936 0.260   1.566   1.623 -27.796
## 638 5989.5   8.554  642.135 617.117  62.233 0.261   1.557   1.620 -19.615
## 639 5990.0   8.591  642.639 612.511  63.785 0.260   1.556   1.633 -12.492
## 640 5990.5   8.563  639.973 604.142  66.080 0.259   1.563   1.655 -17.712
## 641 5991.0   8.565  634.626 593.991  67.343 0.260   1.576   1.684 -29.664
## 642 5991.5   8.580  627.638 583.587  67.484 0.263   1.593   1.714 -33.979
## 643 5992.0   8.546  619.682 573.999  66.888 0.264   1.614   1.742 -28.905
## 644 5992.5   8.520  611.096 565.651  65.567 0.264   1.636   1.768 -25.866
## 645 5993.0   8.555  602.778 558.761  64.726 0.262   1.659   1.790 -29.997
## 646 5993.5   8.567  595.667 553.648  64.667 0.261   1.679   1.806 -32.206
## 647 5994.0   8.552  589.805 550.201  64.304 0.262   1.696   1.817 -26.579
## 648 5994.5   8.557  585.110 547.631  63.541 0.264   1.709   1.826 -20.024
## 649 5995.0   8.552  581.895 545.305  63.239 0.267   1.719   1.834 -19.148
## 650 5995.5   8.567  580.458 543.432  62.246 0.271   1.723   1.840 -21.516
## 651 5996.0   8.556  580.770 542.749  61.212 0.275   1.722   1.842 -23.533
## 652 5996.5   8.496  582.418 543.618  62.056 0.276   1.717   1.839 -22.461
## 653 5997.0   8.498  584.644 545.599  64.383 0.275   1.710   1.833 -16.544
## 654 5997.5   8.545  586.709 547.979  66.340 0.271   1.704   1.825  -9.798
## 655 5998.0   8.558  588.438 550.164  66.713 0.268   1.699   1.818  -8.519
## 656 5998.5   8.552  590.154 551.565  65.836 0.267   1.694   1.813  -9.987
## 657 5999.0   8.566  591.864 551.702  64.137 0.268   1.690   1.813 -10.594
## 658 5999.5   8.578  593.186 550.547  61.767 0.267   1.686   1.816 -12.505
## 659 6000.0   8.555  594.035 548.510  59.703 0.266   1.683   1.823 -17.665
## 660 6000.5   8.578  594.677 546.511  58.617 0.263   1.682   1.830 -24.788
## 661 6001.0   8.590  595.137 545.745  57.402 0.262   1.680   1.832 -31.124
## 662 6001.5   8.588  595.387 546.583  55.970 0.263   1.680   1.829 -31.230
## 663 6002.0   8.587  595.427 547.941  55.649 0.261   1.679   1.825 -24.447
## 664 6002.5   8.589  595.397 548.830  54.538 0.256   1.680   1.822 -18.422
## 665 6003.0   8.563  595.779 549.960  51.882 0.252   1.679   1.818 -18.812
## 666 6003.5   8.563  596.917 552.362  50.658 0.249   1.675   1.810 -21.204
## 667 6004.0   8.589  598.453 555.208  51.586 0.247   1.671   1.801 -17.447
## 668 6004.5   8.589  599.787 556.988  51.799 0.248   1.667   1.795  -9.581
## 669 6005.0   8.578  600.829 557.980  50.483 0.252   1.664   1.792  -6.622
## 670 6005.5   8.558  601.449 559.664  49.868 0.254   1.663   1.787  -8.757
## 671 6006.0   8.543  601.026 561.854  51.642 0.256   1.664   1.780  -6.444
## 672 6006.5   8.532  599.067 562.397  54.145 0.261   1.669   1.778  -0.279
## 673 6007.0   8.578  596.285 559.790  55.005 0.263   1.677   1.786  -2.316
## 674 6007.5   8.591  594.124 555.102  53.716 0.263   1.683   1.801 -13.920
## 675 6008.0   8.578  593.409 551.210  51.784 0.263   1.685   1.814 -23.793
## 676 6008.5   8.556  594.101 550.630  50.500 0.263   1.683   1.816 -27.059
## 677 6009.0   8.578  595.922 553.985  50.870 0.264   1.678   1.805 -23.900
## 678 6009.5   8.590  598.328 560.417  51.239 0.266   1.671   1.784 -15.789
## 679 6010.0   8.588  600.529 568.248  51.030 0.268   1.665   1.760 -10.792
## 680 6010.5   8.590  602.513 575.330  51.513 0.270   1.660   1.738 -14.848
## 681 6011.0   8.578  605.716 580.451  52.569 0.271   1.651   1.723 -21.727
## 682 6011.5   8.556  611.035 584.300  52.880 0.272   1.637   1.711 -20.425
## 683 6012.0   8.578  617.174 588.084  51.926 0.272   1.620   1.700 -12.469
## 684 6012.5   8.591  621.758 591.715  50.127 0.271   1.608   1.690  -9.270
## 685 6013.0   8.578  623.463 593.763  49.418 0.269   1.604   1.684 -14.581
## 686 6013.5   8.557  622.406 593.059  51.293 0.266   1.607   1.686 -21.319
## 687 6014.0   8.568  620.200 590.192  54.389 0.264   1.612   1.694 -23.699
## 688 6014.5   8.559  618.324 586.867  56.291 0.264   1.617   1.704 -22.139
## 689 6015.0   8.567  617.029 584.057  55.671 0.264   1.621   1.712 -18.550
## 690 6015.5   8.559  615.912 581.493  54.087 0.264   1.624   1.720 -12.974
## 691 6016.0   8.543  614.648 579.097  53.931 0.265   1.627   1.727  -8.459
## 692 6016.5   8.532  613.075 578.023  55.072 0.270   1.631   1.730 -12.642
## 693 6017.0   8.578  611.347 579.000  54.982 0.276   1.636   1.727 -20.495
## 694 6017.5   8.591  609.591 580.579  53.893 0.280   1.640   1.722 -23.764
## 695 6018.0   8.554  607.995 580.746  53.167 0.282   1.645   1.722 -26.520
## 696 6018.5   8.505  607.311 579.486  53.479 0.284   1.647   1.726 -29.818
## 697 6019.0   8.554  608.188 578.197  54.209 0.286   1.644   1.730 -29.195
## 698 6019.5   8.590  610.006 577.488  54.278 0.287   1.639   1.732 -29.486
## 699 6020.0   8.587  610.706 576.626  53.961 0.285   1.638   1.734 -32.541
## 700 6020.5   8.590  609.090 574.555  54.793 0.283   1.642   1.740 -31.111
## 701 6021.0   8.553  605.994 570.669  56.226 0.283   1.650   1.752 -28.238
## 702 6021.5   8.532  602.696 565.180  56.078 0.283   1.659   1.769 -31.419
## 703 6022.0   8.568  599.602 559.301  54.537 0.281   1.668   1.788 -35.355
## 704 6022.5   8.558  597.275 554.620  53.024 0.276   1.674   1.803 -35.034
## 705 6023.0   8.568  596.450 552.146  51.786 0.269   1.677   1.811 -36.007
## 706 6023.5   8.532  596.953 552.335  51.002 0.264   1.675   1.811 -39.099
## 707 6024.0   8.553  598.206 555.131  50.942 0.256   1.672   1.801 -37.488
## 708 6024.5   8.590  599.747 559.563  50.391 0.248   1.667   1.787 -31.862
## 709 6025.0   8.587  601.235 563.769  49.134 0.250   1.663   1.774 -30.657
## 710 6025.5   8.588  602.806 566.310  49.098 0.255   1.659   1.766 -34.961
## 711 6026.0   8.588  604.600 567.240  50.757 0.256   1.654   1.763 -35.552
## 712 6026.5   8.588  605.934 567.313  52.072 0.253   1.650   1.763 -29.677
## 713 6027.0   8.588  605.927 566.488  52.361 0.253   1.650   1.765 -27.228
## 714 6027.5   8.588  604.213 564.556  52.172 0.254   1.655   1.771 -32.319
## 715 6028.0   8.588  600.959 562.247  51.903 0.257   1.664   1.779 -36.077
## 716 6028.5   8.588  596.960 560.421  51.202 0.256   1.675   1.784 -35.012
## 717 6029.0   8.588  593.078 559.152  50.161 0.255   1.686   1.788 -34.816
## 718 6029.5   8.590  589.469 558.194  49.820 0.257   1.696   1.791 -36.364
## 719 6030.0   8.578  585.919 557.143  50.945 0.259   1.707   1.795 -37.779
## 720 6031.0   8.578  578.761 551.848  52.409 0.256   1.728   1.812 -46.955
## 721 6031.5   8.589  575.584 547.299  51.866 0.250   1.737   1.827 -51.829
## 722 6032.0   8.589  573.705 542.507  51.027 0.244   1.743   1.843 -50.910
## 723 6032.5   8.565  574.141 539.200  50.111 0.241   1.742   1.855 -40.365
## 724 6033.0   8.554  577.163 539.681  49.991 0.241   1.733   1.853 -28.428
## 725 6033.5   8.546  582.349 544.846  51.366 0.245   1.717   1.835 -29.523
## 726 6034.0   8.547  588.648 552.954  52.598 0.251   1.699   1.809 -39.411
## 727 6034.5   8.569  594.783 561.542  51.868 0.259   1.681   1.781 -40.235
## 728 6035.0   8.557  600.456 569.211  49.380 0.262   1.665   1.757 -32.025
## 729 6035.5   8.578  606.247 574.886  47.243 0.258   1.650   1.740 -26.510
## 730 6036.0   8.590  612.269 578.036  45.744 0.253   1.633   1.730 -23.803
## 731 6036.5   8.590  617.734 579.929  44.894 0.250   1.619   1.724 -20.428
## 732 6037.0   8.578  621.654 582.173  44.281 0.250   1.609   1.718 -22.960
## 733 6037.5   8.557  623.496 584.433  44.318 0.250   1.604   1.711 -32.947
## 734 6038.0   8.568  623.637 585.607  45.234 0.249   1.604   1.708 -42.481
## 735 6038.5   8.557  622.495 585.402  47.395 0.246   1.606   1.708 -48.265
## 736 6039.0   8.578  619.563 583.440  49.482 0.245   1.614   1.714 -48.208
## 737 6039.5   8.590  613.433 578.604  49.293 0.248   1.630   1.728 -37.795
## 738 6040.0   8.588  602.637 569.088  48.077 0.248   1.659   1.757 -25.444
## 739 6040.5   8.587  587.887 552.388  48.065 0.229   1.701   1.810 -25.980
## 740 6041.0   8.589  573.763 529.550  47.871 0.194   1.743   1.888 -30.846
## 741 6041.5   8.563  565.485 508.405  45.598 0.169   1.768   1.967 -24.801
## 742 6042.0   8.563  564.060 498.416  43.521 0.167   1.773   2.006 -18.588
## 743 6042.5   8.589  566.227 503.229  44.384 0.188   1.766   1.987 -20.538
## 744 6043.0   8.587  568.725 517.060  47.403 0.220   1.758   1.934 -16.884
## 745 6043.5   8.588  571.729 531.618  49.811 0.230   1.749   1.881  -7.577
## 746 6044.0   8.588  577.818 543.368  50.033 0.233   1.731   1.840 -11.793
## 747 6044.5   8.588  587.432 552.384  48.735 0.229   1.702   1.810 -28.611
## 748 6045.0   8.588  597.770 558.419  47.102 0.222   1.673   1.791 -39.347
## 749 6046.0   8.588  610.221 560.957  43.468 0.225   1.639   1.783 -40.730
## 750 6046.5   8.588  610.626 557.931  42.741 0.226   1.638   1.792 -39.458
## 751 6047.0   8.588  606.960 553.369  43.934 0.225   1.648   1.807 -35.013
## 752 6047.5   8.588  599.125 547.505  46.474 0.223   1.669   1.827 -35.235
## 753 6048.0   8.588  587.277 537.177  48.612 0.220   1.703   1.862 -41.119
## 754 6048.5   8.588  572.854 520.010  48.951 0.217   1.746   1.923 -43.393
## 755 6049.0   8.588  559.442 499.377  47.723 0.213   1.788   2.003 -40.341
## 756 6049.5   8.588  550.744 483.143  46.022 0.199   1.816   2.070 -37.440
## 757 6050.0   8.587  547.224 476.170  44.140 0.187   1.827   2.100 -34.133
## 758 6050.5   8.589  545.990 478.947  42.830 0.184   1.832   2.088 -30.865
## 759 6051.0   8.565  544.864 489.132  42.590 0.195   1.835   2.044 -32.391
## 760 6051.5   8.553  545.059 502.988  42.156 0.212   1.835   1.988 -40.406
## 761 6052.0   8.558  549.339 518.367  40.945 0.225   1.820   1.929 -50.012
## 762 6052.5   8.567  559.082 534.871  38.915 0.231   1.789   1.870 -48.335
## 763 6053.0   8.557  573.963 552.872  36.505 0.232   1.742   1.809 -32.029
## 764 6053.5   8.578  591.437 571.794  33.933 0.231   1.691   1.749 -19.896
## 765 6054.0   8.590  607.156 590.242  31.765 0.231   1.647   1.694 -20.994
## 766 6054.5   8.588  617.898 604.663  29.850 0.234   1.618   1.654 -19.375
## 767 6055.0   8.588  622.684 611.066  28.393 0.239   1.606   1.637 -13.692
## 768 6055.5   8.590  621.534 608.125  27.615 0.241   1.609   1.644 -18.773
## 769 6056.5   8.555  604.177 583.216  27.985 0.233   1.655   1.715 -35.844
## 770 6057.0   8.578  590.542 566.792  29.255 0.230   1.693   1.764 -39.164
## 771 6057.5   8.564  576.443 548.298  30.724 0.229   1.735   1.824 -46.166
## 772 6058.0   8.564  563.987 529.766  32.512 0.227   1.773   1.888 -47.891
## 773 6058.5   8.564  554.283 516.940  34.631 0.225   1.804   1.934 -41.178
## 774 6059.0   8.563  548.079 514.127  36.133 0.225   1.825   1.945 -35.110
## 775 6059.5   8.589  545.573 520.044  36.783 0.224   1.833   1.923 -33.169
## 776 6060.0   8.589  545.445 529.932  37.783 0.226   1.833   1.887 -32.250
## 777 6060.5   8.578  544.959 539.534  40.187 0.233   1.835   1.854 -33.188
## 778 6061.0   8.557  541.373 544.922  43.535 0.240   1.847   1.835 -36.794
## 779 6061.5   8.568  533.592 540.898  46.966 0.240   1.874   1.849 -40.180
## 780 6062.0   8.557  522.315 526.094  49.172 0.234   1.915   1.901 -38.141
## 781 6062.5   8.578  509.404 504.692  48.344 0.222   1.963   1.981 -30.156
## 782 6063.0   8.590  497.707 484.750  45.757 0.213   2.009   2.063 -25.733
## 783 6063.5   8.588  489.588 472.236  46.200 0.214   2.043   2.118 -28.291
## 784 6064.0   8.588  485.216 468.956  49.934 0.224   2.061   2.132 -26.182
## 785 6064.5   8.588  484.268 474.775  52.739 0.232   2.065   2.106 -18.151
## 786 6065.0   8.588  487.943 490.022  51.457 0.231   2.049   2.041 -17.266
## 787 6065.5   8.588  497.572 515.139  46.138 0.229   2.010   1.941 -21.465
## 788 6066.0   8.588  513.031 546.138  39.190 0.231   1.949   1.831 -19.714
## 789 6066.5   8.588  533.274 575.084  34.611 0.232   1.875   1.739 -16.493
## 790 6067.0   8.588  557.616 597.325  33.974 0.230   1.793   1.674 -21.926
## 791 6067.5   8.588  585.674 618.261  34.744 0.228   1.707   1.617 -33.361
## 792 6068.0   8.588  615.380 642.082  33.761 0.222   1.625   1.557 -39.288
## 793 6068.5   8.588  643.035 668.452  30.388 0.222   1.555   1.496 -35.202
## 794 6069.0   8.588  666.528 694.691  25.781 0.230   1.500   1.439 -29.636
## 795 6069.5   8.588  686.040 717.508  22.106 0.240   1.458   1.394 -28.959
## 796 6070.0   8.588  701.458 733.940  20.631 0.248   1.426   1.362 -27.243
## 797 6070.5   8.588  714.035 743.003  20.608 0.252   1.401   1.346 -26.745
## 798 6071.0   8.590  724.308 746.028  20.998 0.249   1.381   1.340 -33.053
## 799 6072.0   8.556  734.089 742.530  20.989 0.225   1.362   1.347  -3.286
## 800 6072.5   8.578  728.288 736.225  19.359 0.220   1.373   1.358  14.903
## 801 6073.0   8.590  716.002 725.496  17.681 0.219   1.397   1.378   2.252
## 802 6073.5   8.588  700.753 711.689  16.765 0.216   1.427   1.405 -19.110
## 803 6074.0   8.588  688.304 697.445  16.736 0.208   1.453   1.434 -30.495
## 804 6075.0   8.587  673.971 680.765  19.603 0.203   1.484   1.469 -40.182
## 805 6075.5   8.588  671.380 679.883  21.344 0.213   1.490   1.471 -36.595
## 806 6076.0   8.564  671.394 681.704  23.136 0.216   1.489   1.467 -31.856
## 807 6076.5   8.538  673.229 685.973  24.609 0.220   1.485   1.458 -27.785
## 808 6077.0   8.564  676.225 691.282  24.078 0.221   1.479   1.447 -23.920
## 809 6077.5   8.588  679.274 694.045  21.726 0.220   1.472   1.441 -24.067
## 810 6078.0   8.589  681.157 692.069  20.438 0.223   1.468   1.445 -28.500
## 811 6078.5   8.578  682.530 686.643  21.148 0.226   1.465   1.456 -31.086
## 812 6079.0   8.557  684.565 680.834  21.806 0.225   1.461   1.469 -35.283
## 813 6079.5   8.568  686.495 676.602  21.442 0.219   1.457   1.478 -49.898
## 814 6080.5   8.578  683.847 672.125  24.003 0.208   1.462   1.488 -33.714
## 815 6081.0   8.590  678.002 669.171  27.855 0.214   1.475   1.494  -4.808
## 816 6081.5   8.588  668.633 661.949  32.591 0.228   1.496   1.511  -4.727
## 817 6082.0   8.588  656.328 647.918  38.547 0.243   1.524   1.543 -21.390
## 818 6082.5   8.588  643.216 628.536  45.555 0.256   1.555   1.591 -31.597
## 819 6083.0   8.588  631.098 608.163  52.244 0.265   1.584   1.644 -36.109
##     density.corr density phi.core     k.core Facies  X phi.core.frac
## 1         -0.033   2.205  33.9000  2442.5901     F1 NA      0.339000
## 2         -0.067   2.040  33.4131  3006.9888     F1 NA      0.334131
## 3         -0.064   1.888  33.1000  3370.0000     F1 NA      0.331000
## 4         -0.053   1.794  34.9000  2270.0000     F1 NA      0.349000
## 5         -0.054   1.758  35.0644  2530.7581     F1 NA      0.350644
## 6         -0.058   1.759  35.3152  2928.3137     F1 NA      0.353152
## 7         -0.056   1.781  35.6000  3380.0000     F1 NA      0.356000
## 8         -0.046   1.818  34.6448  3053.2048     F1 NA      0.346448
## 9         -0.040   1.848  33.7000  2730.0000     F1 NA      0.337000
## 10        -0.043   1.849  33.1980  2802.1687     F1 NA      0.331980
## 11        -0.047   1.834  32.7597  2865.1624     F1 NA      0.327597
## 12        -0.047   1.832  32.3215  2928.1562     F1 NA      0.323215
## 13        -0.046   1.845  31.4000  2960.0000     F1 NA      0.314000
## 14        -0.043   1.859  32.4996  2368.7905     F1 NA      0.324996
## 15        -0.041   1.868  33.9000  2550.4099     F1 NA      0.339000
## 16        -0.039   1.880  33.7292  2759.4919     F1 NA      0.337292
## 17        -0.040   1.892  33.5000  3040.0000     F1 NA      0.335000
## 18        -0.047   1.891  33.2520  2558.1506     F1 NA      0.332520
## 19        -0.049   1.877  32.9296  1931.9360     F1 NA      0.329296
## 20        -0.045   1.870  32.6000  1291.5699     F1 NA      0.326000
## 21        -0.041   1.877  34.3192  2155.4353     F1 NA      0.343192
## 22        -0.041   1.882  36.0000  3000.0000     F1 NA      0.360000
## 23        -0.043   1.873  34.6627  3066.8655     F1 NA      0.346627
## 24        -0.043   1.863  33.8000  3110.0000     F1 NA      0.338000
## 25        -0.043   1.868  33.2266  2686.7124     F1 NA      0.332266
## 26        -0.045   1.883  32.7943  2367.5498     F1 NA      0.327943
## 27        -0.046   1.887  32.5000  2150.3301     F1 NA      0.325000
## 28        -0.045   1.886  32.9036  2163.2437     F1 NA      0.329036
## 29        -0.036   1.900  33.2095  2173.0312     F1 NA      0.332095
## 30        -0.022   1.931  33.5154  2182.8186     F1 NA      0.335154
## 31        -0.018   1.953  33.8213  2192.6060     F1 NA      0.338213
## 32        -0.034   1.942  34.1272  2202.3936     F1 NA      0.341272
## 33        -0.050   1.906  34.5000  2214.3201     F1 NA      0.345000
## 34        -0.052   1.871  35.4259  2613.3105     F1 NA      0.354259
## 35        -0.049   1.849  36.3000  2990.0000     F1 NA      0.363000
## 36        -0.052   1.838  35.7830  2832.4385     F1 NA      0.357830
## 37        -0.056   1.837  35.3735  2707.6108     F1 NA      0.353735
## 38        -0.051   1.845  34.9000  2563.3101     F1 NA      0.349000
## 39        -0.044   1.853  34.7025  3090.0657     F1 NA      0.347025
## 40        -0.040   1.857  34.5000  3630.0000     F1 NA      0.345000
## 41        -0.035   1.869  32.4415  2531.0762     F1 NA      0.324415
## 42        -0.027   1.894  31.4000  1975.0400     F1 NA      0.314000
## 43        -0.022   1.920  31.0535  2147.4971     F1 NA      0.310535
## 44        -0.020   1.935  30.8000  2273.6499     F1 NA      0.308000
## 45        -0.022   1.944  30.6320  1712.4135     F1 NA      0.306320
## 46        -0.027   1.948  30.5000  1271.3800     F1 NA      0.305000
## 47        -0.035   1.936  23.9000   418.6400     F1 NA      0.239000
## 48        -0.042   1.911  27.0040  1362.4678     F1 NA      0.270040
## 49        -0.044   1.887  31.6000  2760.0000     F1 NA      0.316000
## 50        -0.045   1.875  31.4887  2602.4993     F1 NA      0.314887
## 51        -0.047   1.873  31.3000  2335.4399     F1 NA      0.313000
## 52        -0.048   1.879  30.9941  2495.1360     F1 NA      0.309941
## 53        -0.048   1.888  30.7000  2648.6399     F1 NA      0.307000
## 54        -0.046   1.896  29.5390  2463.9275     F1 NA      0.295390
## 55        -0.043   1.903  28.5027  2299.0537     F1 NA      0.285027
## 56        -0.038   1.911  27.6000  2155.4399     F1 NA      0.276000
## 57        -0.032   1.919  29.6946  2322.1902     F1 NA      0.296946
## 58        -0.029   1.923  31.3000  2450.0000     F1 NA      0.313000
## 59        -0.030   1.917  33.0000  2371.0400     F1 NA      0.330000
## 60        -0.032   1.910  32.2944  2049.1858     F1 NA      0.322944
## 61        -0.034   1.910  31.2000  1550.0200     F1 NA      0.312000
## 62        -0.036   1.916  31.4391  1722.9451     F1 NA      0.314391
## 63        -0.038   1.925  31.9000  2056.2000     F1 NA      0.319000
## 64        -0.038   1.930  31.7052  2023.9753     F1 NA      0.317052
## 65        -0.031   1.931  31.5001  1990.0415     F1 NA      0.315001
## 66        -0.025   1.930  31.2949  1956.1077     F1 NA      0.312949
## 67        -0.025   1.931  31.0000  1907.3199     F1 NA      0.310000
## 68        -0.027   1.936  30.7807  2196.3706     F1 NA      0.307807
## 69        -0.032   1.942  30.3000  2830.0000     F1 NA      0.303000
## 70        -0.036   1.947  30.8986  2697.3630     F1 NA      0.308986
## 71        -0.036   1.949  31.7000  2519.8000     F1 NA      0.317000
## 72        -0.033   1.949  31.4374  2274.8657     F1 NA      0.314374
## 73        -0.030   1.947  31.1674  2023.0345     F1 NA      0.311674
## 74        -0.029   1.943  31.0000  1866.9200     F1 NA      0.310000
## 75        -0.031   1.935  31.1000  2200.3501     F1 NA      0.311000
## 76        -0.035   1.924  31.2467  2067.3738     F1 NA      0.312467
## 77        -0.034   1.917  31.4000  1928.4800     F1 NA      0.314000
## 78        -0.023   1.916  31.1016  1789.1849     F1 NA      0.311016
## 79        -0.021   1.919  30.8000  1648.4301     F1 NA      0.308000
## 80        -0.027   1.923  30.9330  1866.0350     F1 NA      0.309330
## 81        -0.032   1.929  31.2000  2302.9199     F1 NA      0.312000
## 82        -0.036   1.934  31.1497  2225.8699     F1 NA      0.311497
## 83        -0.043   1.932  31.1000  2149.6299     F1 NA      0.311000
## 84        -0.048   1.926  30.4950  2276.3159     F1 NA      0.304950
## 85        -0.047   1.922  29.8000  2421.8501     F1 NA      0.298000
## 86        -0.040   1.919  29.9671  2427.4851     F1 NA      0.299671
## 87        -0.033   1.917  30.2393  2436.6628     F1 NA      0.302393
## 88        -0.026   1.917  30.5116  2445.8406     F1 NA      0.305116
## 89        -0.023   1.921  30.7838  2455.0183     F1 NA      0.307838
## 90        -0.025   1.922  31.0560  2464.1960     F1 NA      0.310560
## 91        -0.027   1.920  31.3282  2473.3740     F1 NA      0.313282
## 92        -0.030   1.916  31.7000  2485.9099     F1 NA      0.317000
## 93        -0.031   1.913  31.6364  2483.5156     F1 NA      0.316364
## 94        -0.030   1.911  31.5000  2478.3799     F1 NA      0.315000
## 95        -0.029   1.909  31.4013  2523.2039     F1 NA      0.314013
## 96        -0.027   1.909  31.2470  2593.2590     F1 NA      0.312470
## 97        -0.026   1.911  31.1000  2660.0000     F1 NA      0.311000
## 98        -0.028   1.913  31.2575  2638.9934     F1 NA      0.312575
## 99        -0.033   1.910  31.4000  2620.0000     F1 NA      0.314000
## 100       -0.036   1.904  31.0480  2423.1160     F1 NA      0.310480
## 101       -0.036   1.898  30.8000  2284.4299     F1 NA      0.308000
## 102       -0.037   1.896  30.9893  2011.7695     F1 NA      0.309893
## 103       -0.039   1.898  31.1000  1852.2700     F1 NA      0.311000
## 104       -0.038   1.903  29.0577  1467.6908     F1 NA      0.290577
## 105       -0.039   1.912  28.2000  1306.1700     F1 NA      0.282000
## 106       -0.039   1.926  15.8000    50.1500    F10 NA      0.158000
## 107       -0.030   1.952  18.6982   822.9766    F10 NA      0.186982
## 108       -0.021   1.985  22.9963  1969.0728    F10 NA      0.229963
## 109       -0.027   2.004  27.8000  3250.0000     F1 NA      0.278000
## 110       -0.036   2.007  26.7824  2448.0698     F1 NA      0.267824
## 111       -0.033   2.010  25.5000  1437.5200     F1 NA      0.255000
## 112       -0.028   2.027  24.7763  1641.8264     F1 NA      0.247763
## 113       -0.027   2.054  24.2000  1804.5400     F1 NA      0.242000
## 114       -0.019   2.083  21.3080  1040.1243     F1 NA      0.213080
## 115       -0.004   2.115  18.4000   271.4900     F2 NA      0.184000
## 116        0.009   2.148  17.5382   185.0957     F2 NA      0.175382
## 117        0.010   2.181  15.7000     0.8100     F2 NA      0.157000
## 118        0.003   2.210  16.2195    92.4887     F2 NA      0.162195
## 119        0.002   2.229  17.2452   273.4974     F2 NA      0.172452
## 120        0.014   2.237  18.2708   454.5060     F2 NA      0.182708
## 121        0.024   2.245  19.2965   635.5146     F2 NA      0.192965
## 122        0.023   2.262  20.2000   794.9600     F2 NA      0.202000
## 123        0.014   2.280  19.0000   193.4600    F10 NA      0.190000
## 124        0.007   2.286  18.1326   126.0047    F10 NA      0.181326
## 125        0.004   2.280  17.5000    76.8100    F10 NA      0.175000
## 126        0.004   2.277  17.5504    85.0097    F10 NA      0.175504
## 127        0.002   2.282  17.5884    91.1881    F10 NA      0.175884
## 128       -0.002   2.290  17.6264    97.3665    F10 NA      0.176264
## 129       -0.001   2.293  17.6644   103.5448    F10 NA      0.176644
## 130        0.006   2.289  17.7024   109.7232    F10 NA      0.177024
## 131        0.013   2.283  17.7404   115.9015    F10 NA      0.177404
## 132        0.014   2.280  17.7783   122.0799    F10 NA      0.177783
## 133        0.009   2.282  17.8163   128.2582    F10 NA      0.178163
## 134        0.006   2.287  17.8543   134.4366    F10 NA      0.178543
## 135        0.008   2.295  17.8923   140.6149    F10 NA      0.178923
## 136        0.007   2.299  17.9303   146.7933    F10 NA      0.179303
## 137        0.000   2.295  17.9683   152.9717    F10 NA      0.179683
## 138        0.000   2.286  18.0000   158.1300    F10 NA      0.180000
## 139        0.006   2.278  17.5326   116.5507    F10 NA      0.175326
## 140        0.008   2.268  17.2000    86.9600    F10 NA      0.172000
## 141        0.008   2.249  19.8420    63.8231    F10 NA      0.198420
## 142        0.010   2.230  22.6000    39.6700    F10 NA      0.226000
## 143       -0.002   2.224  26.0232   282.9963    F10 NA      0.260232
## 144       -0.033   2.212  30.5000   601.2100    F10 NA      0.305000
## 145       -0.053   2.169  29.7897   599.3371     F3 NA      0.297897
## 146       -0.038   2.113  29.0670   597.4316     F3 NA      0.290670
## 147       -0.013   2.092  28.3444   595.5261     F3 NA      0.283444
## 148        0.007   2.116  27.6217   593.6207     F3 NA      0.276217
## 149        0.015   2.152  26.8990   591.7152     F3 NA      0.268990
## 150        0.011   2.168  26.1764   589.8097     F3 NA      0.261764
## 151        0.004   2.163  25.6000   588.2900     F3 NA      0.256000
## 152        0.008   2.157  24.5062   522.3776     F3 NA      0.245062
## 153        0.016   2.171  23.5965   467.5622     F3 NA      0.235965
## 154        0.019   2.207  22.6869   412.7467     F3 NA      0.226869
## 155        0.012   2.244  21.7772   357.9313     F3 NA      0.217772
## 156       -0.001   2.265  20.8675   303.1158     F3 NA      0.208675
## 157       -0.005   2.271  19.9579   248.3004     F3 NA      0.199579
## 158        0.003   2.276  19.0000   190.5800     F3 NA      0.190000
## 159        0.012   2.285  19.0789   181.7682    F10 NA      0.190789
## 160        0.012   2.294  19.2000   168.2400    F10 NA      0.192000
## 161        0.009   2.296  19.2202   149.2137    F10 NA      0.192202
## 162        0.009   2.290  19.2572   114.3747    F10 NA      0.192572
## 163        0.008   2.271  19.3000    74.1400    F10 NA      0.193000
## 164        0.000   2.237  21.2929   146.0790    F10 NA      0.212929
## 165       -0.012   2.193  23.6510   231.2015    F10 NA      0.236510
## 166       -0.014   2.160  26.0091   316.3239    F10 NA      0.260091
## 167        0.001   2.160  28.5000   406.2400    F10 NA      0.285000
## 168        0.016   2.192  25.1195   308.4382     F3 NA      0.251195
## 169        0.010   2.229  21.5373   204.7999     F3 NA      0.215373
## 170       -0.009   2.231  19.3000   140.0700    F10 NA      0.193000
## 171       -0.027   2.191  27.2000   173.4400     F3 NA      0.272000
## 172       -0.027   2.143  22.7972    73.2072     F3 NA      0.227972
## 173       -0.011   2.136  19.6000     0.4200    F10 NA      0.196000
## 174        0.004   2.183  18.7028     2.2869    F10 NA      0.187028
## 175        0.007   2.249  18.0809     3.5809    F10 NA      0.180809
## 176        0.000   2.286  17.4591     4.8748    F10 NA      0.174591
## 177       -0.008   2.287  17.0000     5.8300    F10 NA      0.170000
## 178       -0.007   2.276  18.4000    35.8600    F10 NA      0.184000
## 179        0.007   2.266  18.3561    44.5030    F10 NA      0.183561
## 180        0.020   2.253  18.3000    55.5300    F10 NA      0.183000
## 181        0.012   2.220  21.4925  1599.2813    F10 NA      0.214925
## 182       -0.012   2.164  23.5000  2570.0000    F10 NA      0.235000
## 183       -0.022   2.118  23.0851  2294.7261     F3 NA      0.230851
## 184       -0.011   2.122  22.7761  2089.7009     F3 NA      0.227761
## 185        0.001   2.174  22.4671  1884.6757     F3 NA      0.224671
## 186        0.005   2.229  22.1581  1679.6505     F3 NA      0.221581
## 187        0.001   2.254  21.8491  1474.6252     F3 NA      0.218491
## 188       -0.002   2.256  21.5402  1269.6000     F3 NA      0.215402
## 189        0.000   2.251  21.2312  1064.5748     F3 NA      0.212312
## 190        0.006   2.247  20.9222   859.5496     F3 NA      0.209222
## 191        0.008   2.257  20.6132   654.5244     F3 NA      0.206132
## 192        0.003   2.283  20.3042   449.4991     F3 NA      0.203042
## 193       -0.001   2.305  19.9952   244.4739    F10 NA      0.199952
## 194        0.002   2.310  19.7000    48.6200    F10 NA      0.197000
## 195        0.006   2.306  19.7581    43.9438    F10 NA      0.197581
## 196        0.010   2.302  19.8138    39.4679    F10 NA      0.198138
## 197        0.014   2.305  19.8694    34.9919     F3 NA      0.198694
## 198        0.016   2.307  19.9000    32.5300     F3 NA      0.199000
## 199        0.015   2.290  19.9000    54.2100     F3 NA      0.199000
## 200        0.000   2.226  21.8858   906.6724     F3 NA      0.218858
## 201       -0.029   2.118  25.4446  2434.4473     F3 NA      0.254446
## 202       -0.046   2.014  30.0000  4390.0000     F3 NA      0.300000
## 203       -0.039   1.953  29.0486  4804.8022     F3 NA      0.290486
## 204       -0.030   1.946  27.5000  5480.0000     F3 NA      0.275000
## 205       -0.031   1.976  28.2000  4900.0000     F3 NA      0.282000
## 206       -0.030   2.013  27.9391  4786.5928     F3 NA      0.279391
## 207       -0.019   2.049  27.4209  4561.4106     F3 NA      0.274209
## 208       -0.007   2.100  26.9028  4336.2285    F10 NA      0.269028
## 209       -0.001   2.171  26.3846  4111.0464    F10 NA      0.263846
## 210        0.000   2.237  25.8665  3885.8645    F10 NA      0.258665
## 211        0.001   2.275  25.3483  3660.6824    F10 NA      0.253483
## 212        0.007   2.289  24.8302  3435.5005    F10 NA      0.248302
## 213        0.010   2.291  24.3120  3210.3184    F10 NA      0.243120
## 214        0.003   2.287  23.7939  2985.1362    F10 NA      0.237939
## 215       -0.001   2.280  23.2757  2759.9543    F10 NA      0.232757
## 216        0.007   2.275  22.7576  2534.7722    F10 NA      0.227576
## 217        0.009   2.270  22.2395  2309.5901    F10 NA      0.222395
## 218        0.002   2.268  21.7213  2084.4082    F10 NA      0.217213
## 219        0.001   2.272  21.2032  1859.2261    F10 NA      0.212032
## 220        0.005   2.286  20.6850  1634.0441    F10 NA      0.206850
## 221        0.004   2.303  20.1669  1408.8621    F10 NA      0.201669
## 222        0.006   2.311  19.6487  1183.6799    F10 NA      0.196487
## 223        0.013   2.306  19.1306   958.4979    F10 NA      0.191306
## 224        0.015   2.297  18.6124   733.3159    F10 NA      0.186124
## 225        0.008   2.287  18.0943   508.1339    F10 NA      0.180943
## 226       -0.002   2.263  17.5761   282.9518     F3 NA      0.175761
## 227       -0.011   2.220  17.3000   162.9400     F3 NA      0.173000
## 228       -0.015   2.181  23.1149  1109.5569     F3 NA      0.231149
## 229       -0.012   2.170  25.4000  1481.5601     F3 NA      0.254000
## 230       -0.005   2.190  20.8970   534.7041     F3 NA      0.208970
## 231        0.002   2.223  18.5000    30.6700     F3 NA      0.185000
## 232        0.007   2.252  18.6015    70.1081     F3 NA      0.186015
## 233        0.013   2.275  18.6832   101.8555     F3 NA      0.186832
## 234        0.014   2.291  18.7649   133.6028    F10 NA      0.187649
## 235        0.009   2.299  18.8466   165.3502    F10 NA      0.188466
## 236        0.007   2.300  18.9283   197.0975    F10 NA      0.189283
## 237        0.007   2.297  19.0100   228.8449    F10 NA      0.190100
## 238        0.005   2.292  19.0917   260.5923    F10 NA      0.190917
## 239        0.005   2.287  19.1734   292.3396    F10 NA      0.191734
## 240        0.008   2.287  19.2551   324.0869    F10 NA      0.192551
## 241        0.010   2.294  19.3368   355.8343    F10 NA      0.193368
## 242        0.013   2.303  19.4185   387.5817    F10 NA      0.194185
## 243        0.019   2.312  19.5002   419.3290    F10 NA      0.195002
## 244        0.025   2.318  19.5819   451.0764    F10 NA      0.195819
## 245        0.020   2.319  19.6636   482.8237    F10 NA      0.196636
## 246        0.008   2.315  19.7453   514.5711    F10 NA      0.197453
## 247       -0.001   2.305  19.8270   546.3184    F10 NA      0.198270
## 248       -0.003   2.293  19.9087   578.0658    F10 NA      0.199087
## 249        0.001   2.279  19.9904   609.8132    F10 NA      0.199904
## 250        0.009   2.264  20.0721   641.5605    F10 NA      0.200721
## 251        0.011   2.253  20.1538   673.3079    F10 NA      0.201538
## 252        0.004   2.248  20.2355   705.0552    F10 NA      0.202355
## 253       -0.001   2.246  20.3172   736.8026    F10 NA      0.203172
## 254       -0.001   2.244  20.3990   768.5499    F10 NA      0.203990
## 255       -0.002   2.239  20.4807   800.2973    F10 NA      0.204807
## 256       -0.003   2.231  20.5624   832.0446    F10 NA      0.205624
## 257        0.002   2.224  20.6441   863.7920    F10 NA      0.206441
## 258        0.012   2.220  20.7258   895.5394    F10 NA      0.207258
## 259        0.016   2.219  20.8075   927.2867    F10 NA      0.208075
## 260        0.010   2.221  20.8892   959.0341    F10 NA      0.208892
## 261        0.003   2.229  20.9709   990.7814    F10 NA      0.209709
## 262       -0.002   2.240  21.0526  1022.5287    F10 NA      0.210526
## 263       -0.007   2.254  21.1343  1054.2761    F10 NA      0.211343
## 264       -0.009   2.265  21.2160  1086.0234    F10 NA      0.212160
## 265       -0.011   2.269  21.2977  1117.7709    F10 NA      0.212977
## 266       -0.014   2.269  21.3794  1149.5182    F10 NA      0.213794
## 267       -0.011   2.270  21.4611  1181.2655    F10 NA      0.214611
## 268       -0.004   2.276  21.5428  1213.0129    F10 NA      0.215428
## 269        0.002   2.285  21.6245  1244.7603    F10 NA      0.216245
## 270        0.005   2.296  21.7062  1276.5076    F10 NA      0.217062
## 271        0.009   2.307  21.7879  1308.2550    F10 NA      0.217879
## 272        0.010   2.317  21.8696  1340.0023    F10 NA      0.218696
## 273        0.005   2.320  21.9513  1371.7496    F10 NA      0.219513
## 274        0.008   2.318  22.0330  1403.4971    F10 NA      0.220330
## 275        0.023   2.317  22.1147  1435.2444    F10 NA      0.221147
## 276        0.029   2.319  22.1964  1466.9917    F10 NA      0.221964
## 277        0.019   2.316  22.2781  1498.7391    F10 NA      0.222781
## 278        0.003   2.301  22.3598  1530.4865    F10 NA      0.223598
## 279       -0.008   2.272  22.4415  1562.2338    F10 NA      0.224415
## 280       -0.007   2.243  22.5000  1584.9600     F5 NA      0.225000
## 281        0.006   2.230  20.4237  1066.3792     F5 NA      0.204237
## 282        0.009   2.227  18.8068   662.5491     F5 NA      0.188068
## 283       -0.002   2.219  17.7000   386.1200    F10 NA      0.177000
## 284       -0.011   2.199  21.2844  1821.4403    F10 NA      0.212844
## 285       -0.017   2.169  22.9000  2468.4099     F5 NA      0.229000
## 286       -0.021   2.121  24.0280  2346.7214     F5 NA      0.240280
## 287       -0.024   2.062  24.6000  2285.0200     F5 NA      0.246000
## 288       -0.026   2.015  26.3099  4135.5439     F5 NA      0.263099
## 289       -0.027   1.996  27.7000  5640.0000     F5 NA      0.277000
## 290       -0.024   2.001  25.6304  3580.1563     F5 NA      0.256304
## 291       -0.024   2.011  23.1000  1061.7000     F5 NA      0.231000
## 292       -0.028   2.003  24.4103  2019.7881     F5 NA      0.244103
## 293       -0.032   1.976  25.9823  3169.1899     F5 NA      0.259823
## 294       -0.034   1.948  27.5543  4318.5918     F5 NA      0.275543
## 295       -0.033   1.932  29.1262  5467.9937     F5 NA      0.291262
## 296       -0.031   1.920  30.1000  6180.0000     F5 NA      0.301000
## 297       -0.033   1.904  30.2302  6844.0718     F5 NA      0.302302
## 298       -0.037   1.886  30.3000  7200.0000     F5 NA      0.303000
## 299       -0.037   1.871  31.2000  8390.0000     F5 NA      0.312000
## 300       -0.034   1.865  30.9850  7956.4258     F5 NA      0.309850
## 301       -0.031   1.871  30.7673  7517.4834     F5 NA      0.307673
## 302       -0.025   1.894  30.6000  7180.0000     F5 NA      0.306000
## 303       -0.015   1.931  28.8000   562.5400     F5 NA      0.288000
## 304       -0.007   1.971  29.4052  1348.7238     F5 NA      0.294052
## 305       -0.007   2.001  30.5371  2818.8896     F5 NA      0.305371
## 306       -0.006   2.023  31.2000  3680.0000     F5 NA      0.312000
## 307       -0.004   2.045  27.3008  2216.6179     F5 NA      0.273008
## 308       -0.005   2.068  23.6000   827.6600     F5 NA      0.236000
## 309       -0.005   2.086  25.0818  1538.3466     F5 NA      0.250818
## 310        0.000   2.095  27.9000  2890.0000     F5 NA      0.279000
## 311        0.003   2.092  27.9000  2383.2690     F5 NA      0.279000
## 312       -0.002   2.084  27.9000  2029.4900     F5 NA      0.279000
## 313       -0.007   2.076  27.6015  3820.7578     F5 NA      0.276015
## 314       -0.008   2.072  27.3000  5630.0000     F5 NA      0.273000
## 315       -0.006   2.069  26.8606  5202.5576     F5 NA      0.268606
## 316       -0.004   2.069  26.2000  4560.0000     F5 NA      0.262000
## 317       -0.005   2.071  27.5406  6232.8345     F5 NA      0.275406
## 318       -0.008   2.072  28.5000  7430.0000     F5 NA      0.285000
## 319       -0.014   2.070  27.5435  6186.6069     F5 NA      0.275435
## 320       -0.020   2.069  26.5000  4830.0000     F5 NA      0.265000
## 321       -0.021   2.073  27.6898  5338.7207     F5 NA      0.276898
## 322       -0.022   2.075  29.4000  6070.0000     F5 NA      0.294000
## 323       -0.023   2.071  28.7972  6447.5181     F5 NA      0.287972
## 324       -0.023   2.063  28.1080  6879.2051     F5 NA      0.281080
## 325       -0.019   2.059  27.5000  7260.0000     F5 NA      0.275000
## 326       -0.015   2.063  26.3578  5067.7798     F5 NA      0.263578
## 327       -0.015   2.068  24.9000  2270.0000     F5 NA      0.249000
## 328       -0.017   2.069  25.7652  1917.3143     F5 NA      0.257652
## 329       -0.019   2.067  27.2743  1302.1428     F5 NA      0.272743
## 330       -0.021   2.062  28.1000   965.5400     F5 NA      0.281000
## 331       -0.026   2.053  27.7692  2610.9341     F5 NA      0.277692
## 332       -0.026   2.041  27.5416  3743.4775     F5 NA      0.275416
## 333       -0.020   2.029  27.3139  4876.0210     F5 NA      0.273139
## 334       -0.015   2.025  27.0862  6008.5645     F5 NA      0.270862
## 335       -0.014   2.033  26.8586  7141.1079     F5 NA      0.268586
## 336       -0.013   2.051  26.7000  7930.0000     F5 NA      0.267000
## 337       -0.012   2.070  28.2026  8742.7529     F5 NA      0.282026
## 338       -0.012   2.083  28.9000  9120.0000     F5 NA      0.289000
## 339       -0.015   2.086  26.7071  9898.4785     F5 NA      0.267071
## 340       -0.018   2.089  24.9000 10540.0000     F5 NA      0.249000
## 341       -0.021   2.093  25.0203  9533.3623     F5 NA      0.250203
## 342       -0.026   2.096  25.2000  8030.0000     F5 NA      0.252000
## 343       -0.028   2.092  27.5236  6911.2437     F5 NA      0.275236
## 344       -0.018   2.082  30.6000  5430.0000     F5 NA      0.306000
## 345       -0.010   2.074  29.7470  5048.1919     F5 NA      0.297470
## 346       -0.014   2.066  28.9217  4678.7793     F5 NA      0.289217
## 347       -0.017   2.058  28.5000  4490.0000     F5 NA      0.285000
## 348       -0.009   2.052  31.1000  3840.0000     F5 NA      0.311000
## 349        0.001   2.052  29.7170  2968.5474     F5 NA      0.297170
## 350        0.003   2.059  27.4000  1508.5300     F5 NA      0.274000
## 351       -0.004   2.070  28.2452  2100.5769     F5 NA      0.282452
## 352       -0.008   2.087  29.5028  2981.4578     F5 NA      0.295028
## 353       -0.005   2.109  30.6000  3750.0000     F5 NA      0.306000
## 354       -0.005   2.134  27.9413  7119.8560     F5 NA      0.279413
## 355       -0.010   2.153  26.6000  8820.0000     F5 NA      0.266000
## 356       -0.014   2.156  27.2000  2032.8934     F5 NA      0.272000
## 357       -0.010   2.145  27.2000  1201.6453     F5 NA      0.272000
## 358       -0.003   2.138  27.2000   226.0300     F5 NA      0.272000
## 359        0.001   2.147  23.3897   131.3576     F3 NA      0.233897
## 360       -0.001   2.166  18.4000     7.3800     F3 NA      0.184000
## 361       -0.006   2.179  20.8398   397.6351    F10 NA      0.208398
## 362       -0.010   2.182  24.6000   999.0900     F3 NA      0.246000
## 363       -0.009   2.184  24.9497   841.6011     F3 NA      0.249497
## 364       -0.004   2.195  25.5470   572.5554     F3 NA      0.255470
## 365       -0.003   2.213  26.1444   303.5096     F3 NA      0.261444
## 366       -0.006   2.228  26.5000   143.3300     F3 NA      0.265000
## 367       -0.003   2.237  25.0778   119.7091     F3 NA      0.250778
## 368        0.003   2.238  24.0652   102.8927    F10 NA      0.240652
## 369        0.003   2.233  23.0527    86.0763    F10 NA      0.230527
## 370        0.004   2.230  22.0402    69.2599    F10 NA      0.220402
## 371        0.010   2.237  21.0276    52.4436    F10 NA      0.210276
## 372        0.014   2.249  20.0151    35.6272    F10 NA      0.200151
## 373        0.007   2.248  19.2000    22.0900    F10 NA      0.192000
## 374       -0.004   2.226  20.4398   759.7528    F10 NA      0.204398
## 375       -0.014   2.182  21.4773  1377.0441    F10 NA      0.214773
## 376       -0.014   2.123  22.5148  1994.3353    F10 NA      0.225148
## 377       -0.006   2.069  23.6000  2640.0000    F10 NA      0.236000
## 378       -0.001   2.034  26.1195  3427.3506     F7 NA      0.261195
## 379       -0.004   2.017  29.2000  4390.0000     F7 NA      0.292000
## 380       -0.007   2.010  30.0648  3882.9058     F8 NA      0.300648
## 381       -0.005   2.009  31.4000  3100.0000     F8 NA      0.314000
## 382       -0.003   2.014  31.3580  3340.3401     F8 NA      0.313580
## 383       -0.007   2.021  31.2990  3677.3889     F8 NA      0.312990
## 384       -0.013   2.026  31.2401  4014.4380     F8 NA      0.312401
## 385       -0.014   2.029  31.2000  4243.5298     F8 NA      0.312000
## 386       -0.011   2.028  31.0132  3936.2375     F8 NA      0.310132
## 387       -0.010   2.024  30.9000  3750.0000     F8 NA      0.309000
## 388       -0.010   2.021  31.1000  3700.0000     F8 NA      0.311000
## 389       -0.008   2.019  31.2534  3181.6086     F8 NA      0.312534
## 390       -0.006   2.022  31.4677  2457.0735     F8 NA      0.314677
## 391       -0.006   2.028  31.6000  2010.0000     F8 NA      0.316000
## 392       -0.006   2.032  30.9478  2805.6685     F8 NA      0.309478
## 393       -0.008   2.031  30.6000  3230.0000     F8 NA      0.306000
## 394       -0.012   2.027  30.8646  3302.7673     F8 NA      0.308646
## 395       -0.019   2.023  31.0000  3340.0000     F8 NA      0.310000
## 396       -0.023   2.019  30.6807  2963.2549     F8 NA      0.306807
## 397       -0.019   2.015  30.5000  2750.0000     F8 NA      0.305000
## 398       -0.012   2.015  31.3144  2947.7891     F8 NA      0.313144
## 399       -0.008   2.017  31.9000  3090.0000     F8 NA      0.319000
## 400       -0.007   2.018  31.6445  3110.4392     F8 NA      0.316445
## 401       -0.006   2.017  31.4150  3128.8020     F8 NA      0.314150
## 402       -0.007   2.017  31.1854  3147.1648     F8 NA      0.311854
## 403       -0.010   2.020  30.9000  3170.0000     F8 NA      0.309000
## 404       -0.014   2.024  30.9840  3033.0540     F8 NA      0.309840
## 405       -0.014   2.032  31.1000  2844.1299     F8 NA      0.311000
## 406       -0.010   2.039  30.5261  2137.3313     F8 NA      0.305261
## 407       -0.003   2.046  29.9000  1366.1600     F8 NA      0.299000
## 408        0.004   2.055  30.0000  1479.3800     F8 NA      0.300000
## 409        0.004   2.071  27.7307  1291.2828     F8 NA      0.277307
## 410       -0.001   2.099  24.7307  1042.6234     F8 NA      0.247307
## 411       -0.006   2.137  20.4000   683.6700     F7 NA      0.204000
## 412       -0.008   2.176  20.6782   815.7291     F7 NA      0.206782
## 413       -0.018   2.195  21.1782  1053.0554     F7 NA      0.211782
## 414       -0.028   2.184  21.6782  1290.3817     F7 NA      0.216782
## 415       -0.019   2.163  22.3000  1585.5100     F7 NA      0.223000
## 416       -0.003   2.162  22.0492  1510.6265     F7 NA      0.220492
## 417        0.008   2.191  21.7176  1411.6324     F7 NA      0.217176
## 418        0.016   2.240  21.3860  1312.6384    F10 NA      0.213860
## 419        0.022   2.292  21.0544  1213.6443    F10 NA      0.210544
## 420        0.016   2.329  20.7228  1114.6503    F10 NA      0.207228
## 421        0.006   2.340  20.3912  1015.6563    F10 NA      0.203912
## 422        0.008   2.329  20.0596   916.6622    F10 NA      0.200596
## 423        0.015   2.316  19.7280   817.6682    F10 NA      0.197280
## 424        0.018   2.311  19.3965   718.6742    F10 NA      0.193965
## 425        0.015   2.310  19.0649   619.6802    F10 NA      0.190649
## 426        0.012   2.309  18.7333   520.6862    F10 NA      0.187333
## 427        0.011   2.306  18.4017   421.6921    F10 NA      0.184017
## 428        0.013   2.302  18.0701   322.6981    F10 NA      0.180701
## 429        0.014   2.300  17.7385   223.7040    F10 NA      0.177385
## 430        0.011   2.303  17.4069   124.7100    F10 NA      0.174069
## 431        0.001   2.306  17.0000     3.2300    F10 NA      0.170000
## 432       -0.005   2.304  17.3509    33.7340    F10 NA      0.173509
## 433       -0.003   2.300  17.8050    73.2033    F10 NA      0.178050
## 434        0.008   2.299  18.2591   112.6725    F10 NA      0.182591
## 435        0.012   2.304  18.7132   152.1418    F10 NA      0.187132
## 436        0.005   2.307  19.1672   191.6111    F10 NA      0.191672
## 437        0.006   2.305  19.6213   231.0803    F10 NA      0.196213
## 438        0.020   2.306  20.0754   270.5496    F10 NA      0.200754
## 439        0.026   2.321  20.5295   310.0188    F10 NA      0.205295
## 440        0.023   2.342  20.9836   349.4881    F10 NA      0.209836
## 441        0.009   2.337  21.4376   388.9573    F10 NA      0.214376
## 442        0.016   2.294  21.8917   428.4266    F10 NA      0.218917
## 443        0.062   2.249  22.3458   467.8958    F10 NA      0.223458
## 444        0.089   2.240  22.7999   507.3651    F10 NA      0.227999
## 445        0.057   2.275  23.2540   546.8344    F10 NA      0.232540
## 446        0.021   2.318  23.7080   586.3036    F10 NA      0.237080
## 447        0.033   2.335  24.1621   625.7729    F10 NA      0.241621
## 448        0.047   2.334  24.6162   665.2421    F10 NA      0.246162
## 449        0.032   2.332  25.0703   704.7114    F10 NA      0.250703
## 450        0.009   2.335  25.5243   744.1807    F10 NA      0.255243
## 451        0.006   2.347  25.9784   783.6499    F10 NA      0.259784
## 452        0.008   2.361  26.4325   823.1191    F10 NA      0.264325
## 453        0.007   2.372  26.8866   862.5884    F10 NA      0.268866
## 454        0.012   2.381  27.3407   902.0577    F10 NA      0.273407
## 455        0.020   2.387  27.7947   941.5269    F10 NA      0.277947
## 456        0.018   2.386  28.2488   980.9962    F10 NA      0.282488
## 457        0.007   2.372  28.7029  1020.4655    F10 NA      0.287029
## 458       -0.002   2.342  29.1570  1059.9347    F10 NA      0.291570
## 459       -0.002   2.300  29.6110  1099.4039    F10 NA      0.296110
## 460       -0.006   2.197  30.5192  1178.3425    F10 NA      0.305192
## 461       -0.017   2.137  30.9733  1217.8118    F10 NA      0.309733
## 462       -0.021   2.084  31.4274  1257.2810    F10 NA      0.314274
## 463       -0.014   2.051  31.7000  1280.9800     F8 NA      0.317000
## 464       -0.006   2.038  31.3508  1380.1622     F8 NA      0.313508
## 465       -0.012   2.031  31.0000  1479.8101     F8 NA      0.310000
## 466       -0.023   2.020  31.3363  1574.8315     F8 NA      0.313363
## 467       -0.024   2.003  32.1000  1790.6000     F8 NA      0.321000
## 468       -0.018   1.985  32.3683  2417.5913     F8 NA      0.323683
## 469       -0.018   1.973  32.9000  3660.0000     F8 NA      0.329000
## 470       -0.021   1.971  32.8747  4203.3662     F8 NA      0.328747
## 471       -0.018   1.980  32.8391  4969.6675     F8 NA      0.328391
## 472       -0.011   1.995  32.8000  5810.0000     F8 NA      0.328000
## 473       -0.008   2.010  30.7071  4703.0840     F8 NA      0.307071
## 474       -0.007   2.025  28.3000  3430.0000     F8 NA      0.283000
## 475       -0.002   2.039  29.4132  4832.6045     F8 NA      0.294132
## 476        0.006   2.048  30.3000  5950.0000     F8 NA      0.303000
## 477        0.007   2.050  30.3880  6389.9697     F8 NA      0.303880
## 478       -0.009   2.040  30.5000  6950.0000     F8 NA      0.305000
## 479       -0.013   2.032  30.5000  7862.0825     F8 NA      0.305000
## 480       -0.010   2.026  30.5000  8190.0000     F8 NA      0.305000
## 481       -0.006   2.025  32.3000  7020.0000     F8 NA      0.323000
## 482       -0.006   2.026  32.2698  6917.3823     F8 NA      0.322698
## 483       -0.009   2.026  32.2000  6680.0000     F8 NA      0.322000
## 484       -0.011   2.023  32.0434  6388.7993     F8 NA      0.320434
## 485       -0.009   2.022  31.7000  5750.0000     F8 NA      0.317000
## 486       -0.009   2.022  31.8206  5412.3223     F8 NA      0.318206
## 487       -0.010   2.023  31.9839  4954.9937     F8 NA      0.319839
## 488       -0.011   2.025  32.1000  4630.0000     F8 NA      0.321000
## 489       -0.010   2.023  32.0426  4451.9521     F8 NA      0.320426
## 490       -0.010   2.020  32.0000  4320.0000     F8 NA      0.320000
## 491       -0.011   2.016  31.7157  4047.0544     F8 NA      0.317157
## 492       -0.014   2.014  31.5000  3840.0000     F8 NA      0.315000
## 493       -0.016   2.012  31.7630  3872.8757     F8 NA      0.317630
## 494       -0.015   2.009  31.9000  3890.0000     F8 NA      0.319000
## 495       -0.014   2.008  31.9000  3997.4805     F8 NA      0.319000
## 496       -0.014   2.007  31.9000  4075.8799     F8 NA      0.319000
## 497       -0.012   2.010  31.9000  4154.2788     F8 NA      0.319000
## 498       -0.006   2.024  31.9000  4210.0000     F8 NA      0.319000
## 499       -0.001   2.046  30.6000  2520.0000     F8 NA      0.306000
## 500        0.002   2.067  30.1362  4328.6606     F8 NA      0.301362
## 501        0.003   2.078  29.7007  6027.3105     F8 NA      0.297007
## 502       -0.005   2.076  29.2651  7725.9600     F8 NA      0.292651
## 503       -0.020   2.069  29.0000  8760.0000     F5 NA      0.290000
## 504       -0.025   2.062  29.7000  7740.0000     F5 NA      0.297000
## 505       -0.018   2.055  29.1759  8306.0459     F5 NA      0.291759
## 506       -0.011   2.054  28.7000  8820.0000     F5 NA      0.287000
## 507       -0.010   2.065  28.7920  7918.8984     F5 NA      0.287920
## 508       -0.012   2.086  28.9000  6860.0000     F5 NA      0.289000
## 509       -0.016   2.104  28.4025  6171.7534     F5 NA      0.284025
## 510       -0.021   2.111  27.7000  5200.0000     F5 NA      0.277000
## 511       -0.018   2.103  27.8919  8820.1025     F5 NA      0.278919
## 512       -0.012   2.084  28.0000 10860.0000     F5 NA      0.280000
## 513       -0.011   2.058  28.2202  6697.7793     F5 NA      0.282202
## 514       -0.015   2.036  28.3000  5190.0000     F8 NA      0.283000
## 515       -0.020   2.024  29.3094  5363.0371     F8 NA      0.293094
## 516       -0.018   2.023  29.9874  5479.2744     F8 NA      0.299874
## 517       -0.009   2.026  30.6655  5595.5122     F8 NA      0.306655
## 518        0.003   2.023  31.4848  5963.4404     F8 NA      0.314848
## 519        0.002   2.019  31.9000  6280.0000     F8 NA      0.319000
## 520       -0.004   2.014  31.7589  6138.8628     F8 NA      0.317589
## 521       -0.012   2.014  31.6668  6046.8418     F8 NA      0.316668
## 522       -0.013   2.017  31.5748  5954.8203     F8 NA      0.315748
## 523       -0.006   2.021  31.5000  5880.0000     F8 NA      0.315000
## 524        0.001   2.025  31.1219  5266.6743     F8 NA      0.311219
## 525        0.002   2.028  30.8034  4749.9390     F8 NA      0.308034
## 526       -0.001   2.031  30.6000  4420.0000     F8 NA      0.306000
## 527       -0.008   2.036  30.5374  4119.3125     F8 NA      0.305374
## 528       -0.010   2.039  30.5000  3940.0000     F8 NA      0.305000
## 529       -0.006   2.043  30.5000  4011.0640     F8 NA      0.305000
## 530       -0.003   2.046  30.5000  4070.0000     F8 NA      0.305000
## 531       -0.003   2.047  30.5519  4267.1182     F8 NA      0.305519
## 532        0.002   2.043  30.7000  3970.0000     F8 NA      0.307000
## 533       -0.003   2.043  30.7000  3982.3992     F8 NA      0.307000
## 534       -0.009   2.043  30.7000  3998.8315     F8 NA      0.307000
## 535       -0.010   2.044  30.7000  4020.0000     F8 NA      0.307000
## 536       -0.008   2.047  30.4053  3520.5999     F8 NA      0.304053
## 537       -0.008   2.048  29.8000  2495.1101     F8 NA      0.298000
## 538       -0.005   2.046  30.3945  2126.4495     F8 NA      0.303945
## 539        0.002   2.042  31.4988  1441.6909     F8 NA      0.314988
## 540        0.004   2.041  32.2000  1006.8500     F8 NA      0.322000
## 541       -0.002   2.042  29.5483   884.5511     F8 NA      0.295483
## 542       -0.009   2.044  28.4000   831.5900     F8 NA      0.284000
## 543       -0.012   2.047  29.7962  2790.4949     F8 NA      0.297962
## 544       -0.010   2.051  31.2000  4760.0000     F8 NA      0.312000
## 545       -0.007   2.056  30.5736  3950.7856     F8 NA      0.305736
## 546       -0.004   2.058  29.1000  2047.1400     F8 NA      0.291000
## 547       -0.004   2.060  29.5330  2114.7256     F8 NA      0.295330
## 548       -0.003   2.061  30.3000  2234.4399     F8 NA      0.303000
## 549        0.001   2.061  30.3000  3956.0886     F8 NA      0.303000
## 550       -0.004   2.056  30.3000  4810.0000     F8 NA      0.303000
## 551       -0.009   2.050  30.7348  3983.7849     F8 NA      0.307348
## 552       -0.008   2.049  31.1000  3290.0000     F8 NA      0.311000
## 553       -0.004   2.058  30.0246  2250.9197     F8 NA      0.300246
## 554       -0.004   2.072  29.2000  1454.2400     F8 NA      0.292000
## 555       -0.008   2.078  28.4938  2423.3625     F8 NA      0.284938
## 556       -0.008   2.076  27.6000  3650.0000     F8 NA      0.276000
## 557       -0.005   2.073  28.4051  3328.5642     F8 NA      0.284051
## 558       -0.004   2.068  30.5000  2492.1201     F8 NA      0.305000
## 559       -0.001   2.060  30.8001  2698.5298     F8 NA      0.308001
## 560        0.001   2.055  31.5000  3180.0000     F8 NA      0.315000
## 561       -0.004   2.054  31.2625  3293.4705     F8 NA      0.312625
## 562       -0.012   2.054  30.8861  3473.3303     F8 NA      0.308861
## 563       -0.014   2.051  30.6000  3610.0000     F8 NA      0.306000
## 564       -0.008   2.044  29.7000  1181.8900     F8 NA      0.297000
## 565       -0.004   2.039  29.9200  1652.2738     F8 NA      0.299200
## 566       -0.007   2.036  30.3588  2590.4043     F8 NA      0.303588
## 567       -0.012   2.033  30.7000  3320.0000     F8 NA      0.307000
## 568       -0.018   2.028  29.3560  2433.3545     F8 NA      0.293560
## 569       -0.021   2.021  28.5000  1868.6801     F8 NA      0.285000
## 570       -0.017   2.016  30.3995  1899.3845     F8 NA      0.303995
## 571       -0.015   2.014  31.3000  1913.9399     F8 NA      0.313000
## 572       -0.014   2.014  31.9000  3405.0000     F8 NA      0.319000
## 573       -0.011   2.018  31.9205  3385.5239     F8 NA      0.319205
## 574       -0.010   2.023  31.9455  3361.7825     F8 NA      0.319455
## 575       -0.014   2.026  31.9705  3338.0410     F8 NA      0.319705
## 576       -0.015   2.024  32.0000  3310.0000     F8 NA      0.320000
## 577       -0.009   2.020  31.9488  2997.9072     F8 NA      0.319488
## 578       -0.002   2.019  31.9000  2700.0000     F8 NA      0.319000
## 579       -0.005   2.022  31.9000  2913.8325     F8 NA      0.319000
## 580       -0.016   2.021  31.9000  2970.0000     F8 NA      0.319000
## 581       -0.022   2.023  31.1272  3150.3203     F8 NA      0.311272
## 582       -0.021   2.030  30.7000  3250.0000     F8 NA      0.307000
## 583       -0.019   2.037  30.3622  2283.9041     F8 NA      0.303622
## 584       -0.014   2.040  30.2000  1820.0200     F8 NA      0.302000
## 585       -0.010   2.039  30.5217  1922.0161     F8 NA      0.305217
## 586       -0.010   2.039  30.7000  1978.5601     F8 NA      0.307000
## 587       -0.012   2.039  31.3073  2853.9758     F8 NA      0.313073
## 588       -0.014   2.037  31.7000  3420.0000     F8 NA      0.317000
## 589       -0.016   2.035  31.0256  2846.9758     F8 NA      0.310256
## 590       -0.012   2.037  30.7000  2570.3201     F8 NA      0.307000
## 591       -0.003   2.043  30.5073  2393.9656     F8 NA      0.305073
## 592        0.002   2.051  30.4000  2295.7800     F8 NA      0.304000
## 593        0.008   2.068  31.1410  2918.3340     F8 NA      0.311410
## 594        0.010   2.100  31.5000  3220.0000     F8 NA      0.315000
## 595       -0.002   2.126  30.1588  2573.2031     F8 NA      0.301588
## 596       -0.017   2.122  29.6000  2303.7000     F8 NA      0.296000
## 597       -0.016   2.096  29.9528  2736.5945     F8 NA      0.299528
## 598       -0.012   2.074  30.2000  3040.0000     F8 NA      0.302000
## 599       -0.017   2.060  31.0981  3988.5752     F8 NA      0.310981
## 600       -0.019   2.050  31.8000  4730.0000     F8 NA      0.318000
## 601       -0.008   2.041  33.2112  3795.9231     F8 NA      0.332112
## 602        0.004   2.033  33.9000  3340.0000     F8 NA      0.339000
## 603        0.007   2.023  31.6376  2749.5947     F8 NA      0.316376
## 604        0.002   2.015  30.8000  2531.0000     F8 NA      0.308000
## 605       -0.006   2.012  31.1000  2348.8201     F8 NA      0.311000
## 606       -0.012   2.013  30.8607  2895.5957     F8 NA      0.308607
## 607       -0.013   2.015  30.5000  3720.0000     F8 NA      0.305000
## 608       -0.012   2.017  31.3120  3561.8772     F8 NA      0.313120
## 609       -0.006   2.019  32.4000  3350.0000     F8 NA      0.324000
## 610       -0.002   2.018  32.7522  3459.5876     F8 NA      0.327522
## 611       -0.002   2.015  33.3000  3630.0000     F8 NA      0.333000
## 612       -0.002   2.015  32.5681  3526.3140     F8 NA      0.325681
## 613       -0.001   2.018  32.1000  3460.0000     F8 NA      0.321000
## 614       -0.003   2.022  32.2147  2262.0811     F8 NA      0.322147
## 615       -0.007   2.026  32.3000  1371.3700     F8 NA      0.323000
## 616       -0.008   2.027  30.4321  1591.2185     F8 NA      0.304321
## 617       -0.007   2.025  29.2000  1736.2400     F8 NA      0.292000
## 618       -0.010   2.022  32.7000  1828.3900     F8 NA      0.327000
## 619       -0.013   2.019  32.7000  1952.0089     F8 NA      0.327000
## 620       -0.013   2.016  32.7000  2091.1111     F8 NA      0.327000
## 621       -0.011   2.015  32.7000  2183.5400     F8 NA      0.327000
## 622       -0.012   2.017  32.4000  2331.9900     F8 NA      0.324000
## 623       -0.011   2.023  31.0435  1619.7656     F8 NA      0.310435
## 624       -0.006   2.034  29.5000   809.4100     F8 NA      0.295000
## 625       -0.002   2.049  28.7544   603.8804     F8 NA      0.287544
## 626       -0.001   2.065  28.2285   458.8995     F8 NA      0.282285
## 627       -0.001   2.084  27.9000   368.3500     F9 NA      0.279000
## 628       -0.006   2.103  27.8367   383.8092     F9 NA      0.278367
## 629       -0.012   2.120  27.8000   392.7800     F9 NA      0.278000
## 630       -0.014   2.127  27.0259   369.4849     F9 NA      0.270259
## 631       -0.009   2.122  26.4000   350.6500     F9 NA      0.264000
## 632       -0.005   2.112  31.7000  1862.8700     F9 NA      0.317000
## 633       -0.006   2.107  29.3212  1181.2034     F9 NA      0.293212
## 634       -0.007   2.106  26.1000   258.1300     F9 NA      0.261000
## 635       -0.002   2.105  27.6000   465.0500     F9 NA      0.276000
## 636        0.004   2.105  27.7100   371.8761     F9 NA      0.277100
## 637       -0.005   2.112  27.7507   287.3767     F9 NA      0.277507
## 638       -0.003   2.118  27.7037   279.4883     F9 NA      0.277037
## 639        0.001   2.122  27.6566   271.5998     F9 NA      0.276566
## 640       -0.002   2.126  27.6096   263.7113     F9 NA      0.276096
## 641       -0.005   2.136  27.5625   255.8228     F9 NA      0.275625
## 642       -0.002   2.151  27.5155   247.9343     F9 NA      0.275155
## 643        0.003   2.160  27.4684   240.0458     F9 NA      0.274684
## 644        0.007   2.158  27.4000   228.5700     F9 NA      0.274000
## 645        0.006   2.148  26.5112   242.9852     F9 NA      0.265112
## 646        0.003   2.137  24.1000   282.0900     F9 NA      0.241000
## 647        0.004   2.130  24.3573   332.4404     F9 NA      0.243573
## 648        0.007   2.131  25.0000   458.2000     F9 NA      0.250000
## 649        0.005   2.138  24.9655   437.7937     F9 NA      0.249655
## 650       -0.001   2.147  24.9000   399.1000     F9 NA      0.249000
## 651       -0.003   2.152  25.0481   431.1000     F9 NA      0.250481
## 652        0.001   2.155  25.3000   485.5200     F9 NA      0.253000
## 653        0.002   2.156  25.2234   459.3311     F9 NA      0.252234
## 654       -0.005   2.155  25.1000   417.1300     F9 NA      0.251000
## 655       -0.009   2.151  25.2124   480.6394     F9 NA      0.252124
## 656       -0.006   2.146  25.3921   582.1041     F9 NA      0.253921
## 657       -0.004   2.140  25.5000   643.0700     F9 NA      0.255000
## 658       -0.004   2.134  26.0000   499.3700     F9 NA      0.260000
## 659       -0.004   2.131  25.9482   447.7827     F9 NA      0.259482
## 660       -0.005   2.129  25.8583   358.4117     F9 NA      0.258583
## 661       -0.006   2.126  25.8000   300.3600     F9 NA      0.258000
## 662       -0.008   2.122  25.5999   240.2611     F9 NA      0.255999
## 663       -0.011   2.122  25.5000   210.2700     F9 NA      0.255000
## 664       -0.012   2.127  24.5000   216.6000     F9 NA      0.245000
## 665       -0.012   2.131  24.8623   257.7916     F9 NA      0.248623
## 666       -0.014   2.134  25.5808   339.4923     F9 NA      0.255808
## 667       -0.015   2.136  26.1000   398.5300     F9 NA      0.261000
## 668       -0.014   2.138  26.6048   669.3860     F9 NA      0.266048
## 669       -0.014   2.139  26.9000   827.7700     F9 NA      0.269000
## 670       -0.015   2.132  27.2095   896.8858     F9 NA      0.272095
## 671       -0.012   2.122  27.4000   939.4300     F9 NA      0.274000
## 672       -0.006   2.117  26.8537   780.4501     F9 NA      0.268537
## 673       -0.004   2.118  26.5000   677.5000     F9 NA      0.265000
## 674       -0.008   2.118  27.0408   710.9836     F9 NA      0.270408
## 675       -0.009   2.114  27.5000   739.4100     F9 NA      0.275000
## 676       -0.004   2.106  27.1781   729.7252     F9 NA      0.271781
## 677       -0.002   2.094  26.9000   721.3600     F9 NA      0.269000
## 678       -0.003   2.084  26.8429   917.3568     F9 NA      0.268429
## 679       -0.005   2.085  26.8000  1064.6899     F9 NA      0.268000
## 680       -0.011   2.093  26.6323   963.2323     F9 NA      0.266323
## 681       -0.017   2.101  26.5000   883.1400     F9 NA      0.265000
## 682       -0.013   2.103  26.6823   999.1555     F9 NA      0.266823
## 683       -0.003   2.101  26.8000  1074.0900     F9 NA      0.268000
## 684       -0.004   2.095  27.1462  1209.9685     F9 NA      0.271462
## 685       -0.010   2.088  27.4000  1309.5500     F9 NA      0.274000
## 686       -0.010   2.083  27.1677  1053.1267     F9 NA      0.271677
## 687       -0.007   2.082  27.0000   868.0800     F9 NA      0.270000
## 688       -0.008   2.086  27.4886   865.2035     F9 NA      0.274886
## 689       -0.007   2.093  27.8000   863.3700     F9 NA      0.278000
## 690       -0.004   2.099  28.8644  1137.1615     F9 NA      0.288644
## 691       -0.004   2.103  29.4000  1274.9500     F9 NA      0.294000
## 692       -0.002   2.107  29.3019  1259.5554     F9 NA      0.293019
## 693        0.002   2.112  29.2313  1248.4808     F9 NA      0.292313
## 694        0.003   2.115  29.1608  1237.4061     F9 NA      0.291608
## 695       -0.001   2.115  29.1000  1227.8700     F9 NA      0.291000
## 696       -0.007   2.111  28.7308  1102.0452     F9 NA      0.287308
## 697       -0.010   2.103  28.4066   991.5684     F9 NA      0.284066
## 698       -0.010   2.096  28.0824   881.0916     F9 NA      0.280824
## 699       -0.009   2.091  27.7583   770.6147     F9 NA      0.277583
## 700       -0.004   2.090  27.4341   660.1379     F9 NA      0.274341
## 701       -0.001   2.094  27.0000   512.2100     F9 NA      0.270000
## 702       -0.003   2.101  27.0891   537.4426     F9 NA      0.270891
## 703       -0.008   2.108  27.2238   575.6158     F9 NA      0.272238
## 704       -0.009   2.116  27.3585   613.7889     F9 NA      0.273585
## 705       -0.005   2.123  27.4932   651.9620     F9 NA      0.274932
## 706        0.002   2.124  27.6279   690.1351     F9 NA      0.276279
## 707        0.007   2.121  27.7627   728.3082     F9 NA      0.277627
## 708        0.007   2.121  27.9000   767.2200     F9 NA      0.279000
## 709        0.003   2.127  27.5274   729.5110     F9 NA      0.275274
## 710       -0.005   2.133  27.1474   691.0581     F9 NA      0.271474
## 711       -0.014   2.134  26.7674   652.6051     F9 NA      0.267674
## 712       -0.013   2.128  26.3874   614.1521     F9 NA      0.263874
## 713       -0.009   2.120  25.9000   564.8300     F9 NA      0.259000
## 714       -0.008   2.112  26.0536   609.7765     F9 NA      0.260536
## 715       -0.007   2.107  26.2676   672.4337     F9 NA      0.262676
## 716       -0.003   2.104  26.4817   735.0908     F9 NA      0.264817
## 717        0.002   2.105  26.6957   797.7479     F9 NA      0.266957
## 718        0.004   2.112  26.9098   860.4050     F9 NA      0.269098
## 719        0.004   2.118  27.2000   945.3500     F9 NA      0.272000
## 720       -0.004   2.118  27.3354   770.6907     F9 NA      0.273354
## 721       -0.004   2.115  27.4177   664.4689     F9 NA      0.274177
## 722       -0.001   2.113  27.5000   558.2472     F9 NA      0.275000
## 723        0.003   2.116  27.5824   452.0254     F9 NA      0.275824
## 724        0.003   2.119  27.7000   300.2600     F9 NA      0.277000
## 725       -0.003   2.119  27.6248   321.5066     F9 NA      0.276248
## 726       -0.014   2.115  27.4930   358.7004     F9 NA      0.274930
## 727       -0.022   2.108  27.3613   395.8943     F9 NA      0.273613
## 728       -0.024   2.101  27.2296   433.0881     F9 NA      0.272296
## 729       -0.019   2.097  27.0978   470.2819     F9 NA      0.270978
## 730       -0.007   2.098  26.9661   507.4758     F9 NA      0.269661
## 731        0.003   2.102  26.9000   526.1400     F9 NA      0.269000
## 732        0.002   2.106  27.4181   893.3821     F9 NA      0.274181
## 733       -0.005   2.110  27.7638  1138.5061     F9 NA      0.277638
## 734       -0.008   2.114  28.1096  1383.6300     F9 NA      0.281096
## 735       -0.002   2.116  28.4554  1628.7540     F9 NA      0.284554
## 736        0.003   2.111  28.8012  1873.8779     F9 NA      0.288012
## 737        0.002   2.097  29.0000  2014.7900     F9 NA      0.290000
## 738       -0.001   2.085  28.5072  1743.1687     F9 NA      0.285072
## 739       -0.002   2.091  28.1614  1552.5758     F9 NA      0.281614
## 740       -0.016   2.124  27.8156  1361.9829     F9 NA      0.278156
## 741       -0.051   2.161  27.4698  1171.3900     F9 NA      0.274698
## 742       -0.067   2.167  27.1240   980.7972     F9 NA      0.271240
## 743       -0.040   2.136  26.9000   857.3100     F9 NA      0.269000
## 744       -0.007   2.108  27.4343  1089.8239     F9 NA      0.274343
## 745        0.002   2.101  27.8295  1261.7902     F9 NA      0.278295
## 746        0.002   2.106  28.2247  1433.7565     F9 NA      0.282247
## 747        0.005   2.121  28.6199  1605.7228     F9 NA      0.286199
## 748        0.006   2.141  29.0151  1777.6891     F9 NA      0.290151
## 749       -0.007   2.172  28.9249  1708.2007     F9 NA      0.289249
## 750       -0.012   2.171  28.6315  1556.9391     F9 NA      0.286315
## 751       -0.014   2.157  28.3382  1405.6776     F9 NA      0.283382
## 752       -0.011   2.140  28.0449  1254.4161     F9 NA      0.280449
## 753       -0.007   2.130  27.7516  1103.1545     F9 NA      0.277516
## 754       -0.006   2.128  27.4000   921.8100     F9 NA      0.274000
## 755       -0.008   2.130  27.1447   910.1433     F9 NA      0.271447
## 756       -0.008   2.134  26.8260   895.5803     F9 NA      0.268260
## 757       -0.005   2.141  26.5073   881.0173     F9 NA      0.265073
## 758       -0.002   2.147  26.1886   866.4542     F9 NA      0.261886
## 759       -0.002   2.148  25.8699   851.8912     F9 NA      0.258699
## 760       -0.003   2.146  25.4000   830.4200     F9 NA      0.254000
## 761       -0.007   2.140  25.2557   817.8306     F9 NA      0.252557
## 762       -0.012   2.128  24.9813   793.8796     F9 NA      0.249813
## 763       -0.014   2.113  24.7069   769.9286     F9 NA      0.247069
## 764       -0.014   2.099  24.4324   745.9776     F9 NA      0.244324
## 765       -0.013   2.091  24.1580   722.0266     F9 NA      0.241580
## 766       -0.009   2.091  23.9000   699.5100     F9 NA      0.239000
## 767       -0.004   2.095  24.2038   831.6595     F9 NA      0.242038
## 768       -0.001   2.099  24.4904   956.3419     F9 NA      0.244904
## 769       -0.001   2.111  25.0637  1205.7067     F9 NA      0.250637
## 770       -0.003   2.116  25.3503  1330.3890     F9 NA      0.253503
## 771       -0.004   2.118  25.6000  1439.0200     F9 NA      0.256000
## 772       -0.003   2.120  26.1148  1876.8239     F9 NA      0.261148
## 773       -0.003   2.126  26.5710  2264.6938     F9 NA      0.265710
## 774       -0.001   2.139  27.0271  2652.5637     F9 NA      0.270271
## 775       -0.001   2.154  27.4832  3040.4338     F9 NA      0.274832
## 776       -0.001   2.164  27.9393  3428.3037     F9 NA      0.279393
## 777        0.004   2.160  28.2000  3650.0000     F9 NA      0.282000
## 778        0.006   2.148  26.5962  2797.1609     F9 NA      0.265962
## 779       -0.001   2.140  25.4735  2200.1130     F9 NA      0.254735
## 780       -0.005   2.145  24.3507  1603.0649     F9 NA      0.243507
## 781        0.003   2.168  23.2280  1006.0170     F9 NA      0.232280
## 782        0.009   2.204  21.8000   246.6400     F9 NA      0.218000
## 783       -0.005   2.229  22.3628   298.5033     F9 NA      0.223628
## 784       -0.022   2.222  23.1358   369.7330     F9 NA      0.231358
## 785       -0.017   2.193  23.9088   440.9626     F9 NA      0.239088
## 786       -0.003   2.166  24.6818   512.1923     F9 NA      0.246818
## 787        0.002   2.149  25.4548   583.4219     F9 NA      0.254548
## 788        0.001   2.136  26.5000   679.7400     F9 NA      0.265000
## 789        0.003   2.127  26.4295   712.3636     F9 NA      0.264295
## 790        0.008   2.124  26.3206   762.7256     F9 NA      0.263206
## 791        0.007   2.125  26.2117   813.0876     F9 NA      0.262117
## 792       -0.004   2.124  26.1028   863.4496     F9 NA      0.261028
## 793       -0.012   2.116  25.9939   913.8117     F9 NA      0.259939
## 794       -0.007   2.104  25.9000   957.2500     F9 NA      0.259000
## 795        0.001   2.089  26.4587  1528.5027     F9 NA      0.264587
## 796        0.004   2.076  26.9499  2030.7120     F9 NA      0.269499
## 797        0.004   2.069  27.4411  2532.9214     F9 NA      0.274411
## 798        0.002   2.072  27.9323  3035.1306     F9 NA      0.279323
## 799       -0.003   2.099  28.7000  3820.0000     F5 NA      0.287000
## 800       -0.005   2.108  29.2799  5020.0947     F5 NA      0.292799
## 801       -0.002   2.113  29.6834  5855.1367     F5 NA      0.296834
## 802        0.002   2.119  30.0869  6690.1787     F5 NA      0.300869
## 803        0.003   2.130  30.4903  7525.2207     F5 NA      0.304903
## 804       -0.010   2.148  30.6122  9458.1729     F5 NA      0.306122
## 805       -0.019   2.141  30.0859 10649.9580     F5 NA      0.300859
## 806       -0.017   2.127  29.5596 11841.7432     F5 NA      0.295596
## 807       -0.009   2.117  29.0333 13033.5283     F5 NA      0.290333
## 808       -0.005   2.110  28.5071 14225.3135     F5 NA      0.285071
## 809       -0.001   2.102  27.9000 15600.0000     F5 NA      0.279000
## 810        0.005   2.094  27.7563 13544.9785     F5 NA      0.277563
## 811        0.006   2.091  27.5865 11117.4023     F5 NA      0.275865
## 812        0.001   2.095  27.4167  8689.8252     F5 NA      0.274167
## 813       -0.002   2.105  27.2470  6262.2485     F5 NA      0.272470
## 814        0.003   2.147  26.9000  1300.7900     F5 NA      0.269000
## 815       -0.002   2.162  25.7547  1249.7059     F5 NA      0.257547
## 816       -0.008   2.158  24.5569  1196.2823     F5 NA      0.245569
## 817       -0.006   2.136  23.3592  1142.8588     F5 NA      0.233592
## 818       -0.002   2.115  22.1614  1089.4352     F5 NA      0.221614
## 819       -0.003   2.109  20.9637  1036.0116     F5 NA      0.209637
data=data[, sapply(data, function(x) length(unique(x))>1)]
data$Facies=as.factor(data$Facies)
library(caret)
## Loading required package: ggplot2
## Loading required package: lattice

Set Working Directory: The working directory is set to “C:/Users/muqta/Desktop/rdata” where the dataset is stored. This allows access to the karpur.csv file. Read Data: The CSV file karpur.csv is read into the data dataframe. Remove Constant Columns: Any column in the dataset that has only one unique value is removed using sapply(data, function(x) length(unique(x)) > 1). This step is to eliminate columns that do not provide useful variation for modeling. Convert Facies to Factor: The Facies variable is converted to a factor (categorical variable) since it’s likely categorical. Load caret Package: The caret package is loaded, which provides functions like RMSE to calculate performance metrics for regression models. ##Step 2: Build Model 1 - Linear Regression Without Facies

model_1<- lm(k.core~ .-Facies,data=data)
summary(model_1)
## 
## Call:
## lm(formula = k.core ~ . - Facies, data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5549.5  -755.5  -178.1   578.0 11260.8 
## 
## Coefficients: (1 not defined because of singularities)
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   60762.728  16605.360   3.659 0.000269 ***
## depth            -7.398      1.446  -5.115 3.92e-07 ***
## caliper       -3955.952   1055.105  -3.749 0.000190 ***
## ind.deep        -14.183      2.345  -6.048 2.24e-09 ***
## ind.med          17.300      2.509   6.896 1.08e-11 ***
## gamma           -77.487      5.475 -14.153  < 2e-16 ***
## phi.N         -1784.704   1301.772  -1.371 0.170763    
## R.deep          -26.007      6.974  -3.729 0.000206 ***
## R.med            63.525      9.841   6.455 1.86e-10 ***
## SP               -8.784      3.460  -2.539 0.011313 *  
## density.corr   -523.060   5358.876  -0.098 0.922269    
## density        8011.106   1120.554   7.149 1.96e-12 ***
## phi.core        183.203     23.802   7.697 4.07e-14 ***
## phi.core.frac        NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1442 on 806 degrees of freedom
## Multiple R-squared:  0.5903, Adjusted R-squared:  0.5842 
## F-statistic: 96.77 on 12 and 806 DF,  p-value: < 2.2e-16
k.predicted_1 <-predict(model_1,data=data)
plot(k.predicted_1,data$k.core)

Model Creation: model_1 is a linear regression model where k.core is predicted using all other variables in the dataset, excluding Facies. Summary: The summary(model_1) command gives detailed results of the model, including coefficients and p-values for each variable. Predictions: The predict() function generates predicted values (k.predicted_1) using the model. Plot: The predicted values are plotted against the actual k.core values to visually assess the model’s performance.

##Step 3: Calculate RMSE for Model 1

rmse_1<- RMSE(k.predicted_1,data$k.core )
rmse_1
## [1] 1430.118

RMSE Calculation: The RMSE (Root Mean Squared Error) between the predicted and actual values is calculated. RMSE is a common evaluation metric for regression models that measures how far the predicted values are from the actual values.

##Step 4: Build Model 2 - Backward Stepwise Regression on Model 1

model_2<-step(model_1 , direction = "backward")
## Start:  AIC=11926.91
## k.core ~ (depth + caliper + ind.deep + ind.med + gamma + phi.N + 
##     R.deep + R.med + SP + density.corr + density + phi.core + 
##     Facies + phi.core.frac) - Facies
## 
## 
## Step:  AIC=11926.91
## k.core ~ depth + caliper + ind.deep + ind.med + gamma + phi.N + 
##     R.deep + R.med + SP + density.corr + density + phi.core
## 
##                Df Sum of Sq        RSS   AIC
## - density.corr  1     19799 1675068713 11925
## - phi.N         1   3906205 1678955118 11927
## <none>                      1675048914 11927
## - SP            1  13394190 1688443104 11931
## - R.deep        1  28897686 1703946599 11939
## - caliper       1  29214826 1704263740 11939
## - depth         1  54372650 1729421563 11951
## - ind.deep      1  76022788 1751071701 11961
## - R.med         1  86603706 1761652619 11966
## - ind.med       1  98823752 1773872666 11972
## - density       1 106221406 1781270319 11975
## - phi.core      1 123125117 1798174031 11983
## - gamma         1 416312526 2091361440 12107
## 
## Step:  AIC=11924.92
## k.core ~ depth + caliper + ind.deep + ind.med + gamma + phi.N + 
##     R.deep + R.med + SP + density + phi.core
## 
##            Df Sum of Sq        RSS   AIC
## <none>                  1675068713 11925
## - phi.N     1   4564880 1679633593 11925
## - SP        1  13491079 1688559792 11930
## - R.deep    1  28896144 1703964857 11937
## - caliper   1  29253869 1704322581 11937
## - depth     1  54825159 1729893872 11949
## - ind.deep  1  77573926 1752642639 11960
## - R.med     1  86772220 1761840933 11964
## - ind.med   1 100740701 1775809413 11971
## - density   1 114209586 1789278299 11977
## - phi.core  1 124694278 1799762991 11982
## - gamma     1 417015194 2092083907 12105
summary(model_2)
## 
## Call:
## lm(formula = k.core ~ depth + caliper + ind.deep + ind.med + 
##     gamma + phi.N + R.deep + R.med + SP + density + phi.core, 
##     data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5545.3  -753.4  -177.1   576.8 11260.2 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 60910.619  16525.937   3.686 0.000243 ***
## depth          -7.409      1.442  -5.139 3.46e-07 ***
## caliper     -3957.892   1054.270  -3.754 0.000186 ***
## ind.deep      -14.146      2.314  -6.113 1.52e-09 ***
## ind.med        17.263      2.478   6.967 6.74e-12 ***
## gamma         -77.461      5.465 -14.174  < 2e-16 ***
## phi.N       -1825.771   1231.150  -1.483 0.138470    
## R.deep        -25.972      6.961  -3.731 0.000204 ***
## R.med          63.466      9.816   6.466 1.75e-10 ***
## SP             -8.803      3.453  -2.549 0.010974 *  
## density      7980.761   1075.902   7.418 3.02e-13 ***
## phi.core      183.436     23.667   7.751 2.75e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1441 on 807 degrees of freedom
## Multiple R-squared:  0.5903, Adjusted R-squared:  0.5847 
## F-statistic: 105.7 on 11 and 807 DF,  p-value: < 2.2e-16
k.predicted_2 <-predict(model_2,data=data)
plot(k.predicted_2,data$k.core)

Backward Stepwise Selection: The step() function performs backward stepwise regression. It starts with all variables in the model and removes the least significant predictors (based on p-value) until only the most important predictors remain. Predictions and Plot: Predictions are made with the simplified model model_2, and these predictions are compared to actual values using a scatter plot.

##Step 5: Calculate RMSE for Model 2

rmse_2<- RMSE(k.predicted_2,data$k.core )
rmse_2
## [1] 1430.126

RMSE Calculation: The RMSE for model_2 is computed to evaluate its predictive performance.

##Step 6: Build Model 3 - Linear Regression with All Predictors

model_3<- lm(k.core~ .,data=data)
summary(model_3)
## 
## Call:
## lm(formula = k.core ~ ., data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5585.6  -568.9    49.2   476.5  8928.4 
## 
## Coefficients: (1 not defined because of singularities)
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   -6.783e+04  1.760e+04  -3.853 0.000126 ***
## depth          8.544e+00  1.785e+00   4.786 2.02e-06 ***
## caliper        1.413e+03  1.019e+03   1.387 0.165789    
## ind.deep      -2.418e-01  2.354e+00  -0.103 0.918220    
## ind.med        1.224e+00  2.585e+00   0.473 0.636062    
## gamma         -4.583e+01  6.010e+00  -7.626 6.88e-14 ***
## phi.N         -2.010e+03  1.476e+03  -1.362 0.173540    
## R.deep        -2.344e+01  6.288e+00  -3.727 0.000207 ***
## R.med          5.643e+01  9.065e+00   6.225 7.76e-10 ***
## SP            -7.125e+00  3.145e+00  -2.266 0.023736 *  
## density.corr  -2.567e+03  4.809e+03  -0.534 0.593602    
## density        2.319e+03  1.173e+03   1.976 0.048458 *  
## phi.core       1.921e+02  2.282e+01   8.418  < 2e-16 ***
## FaciesF10      8.921e+02  3.590e+02   2.485 0.013157 *  
## FaciesF2       9.243e+02  5.818e+02   1.589 0.112514    
## FaciesF3       4.393e+02  3.344e+02   1.313 0.189394    
## FaciesF5       7.411e+02  3.428e+02   2.162 0.030908 *  
## FaciesF7      -4.152e+01  5.742e+02  -0.072 0.942377    
## FaciesF8      -1.179e+03  3.927e+02  -3.002 0.002770 ** 
## FaciesF9      -2.969e+03  4.298e+02  -6.908 1.00e-11 ***
## phi.core.frac         NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1262 on 799 degrees of freedom
## Multiple R-squared:  0.6889, Adjusted R-squared:  0.6815 
## F-statistic: 93.12 on 19 and 799 DF,  p-value: < 2.2e-16
k.predicted_3 <-predict(model_3,data=data)
plot(k.predicted_3,data$k.core)

Model Creation: model_3 is a linear regression model using all predictors in the dataset to predict k.core. Summary: The summary of model_3 provides detailed results, including statistical information about the predictors. Predictions and Plot: Predictions are made using model_3 and visualized against actual k.core values.

##Step 7: Calculate RMSE for Model 3

rmse_3<- RMSE(k.predicted_3,data$k.core )
rmse_3
## [1] 1246.201

RMSE Calculation: The RMSE for model_3 is calculated to evaluate its predictive performance.

##Step 8: Build Model 4 - Backward Stepwise Regression on Model 3

model_4<-step(model_3 , direction = "backward")
## Start:  AIC=11715.43
## k.core ~ depth + caliper + ind.deep + ind.med + gamma + phi.N + 
##     R.deep + R.med + SP + density.corr + density + phi.core + 
##     Facies + phi.core.frac
## 
## 
## Step:  AIC=11715.43
## k.core ~ depth + caliper + ind.deep + ind.med + gamma + phi.N + 
##     R.deep + R.med + SP + density.corr + density + phi.core + 
##     Facies
## 
##                Df Sum of Sq        RSS   AIC
## - ind.deep      1     16793 1271937992 11713
## - ind.med       1    356746 1272277945 11714
## - density.corr  1    453661 1272374861 11714
## - phi.N         1   2953609 1274874809 11715
## - caliper       1   3063007 1274984206 11715
## <none>                      1271921199 11715
## - density       1   6217927 1278139127 11717
## - SP            1   8171834 1280093033 11719
## - R.deep        1  22117394 1294038593 11728
## - depth         1  36466976 1308388176 11737
## - R.med         1  61690461 1333611660 11752
## - gamma         1  92579723 1364500923 11771
## - phi.core      1 112793101 1384714301 11783
## - Facies        7 403127714 1675048914 11927
## 
## Step:  AIC=11713.44
## k.core ~ depth + caliper + ind.med + gamma + phi.N + R.deep + 
##     R.med + SP + density.corr + density + phi.core + Facies
## 
##                Df Sum of Sq        RSS   AIC
## - density.corr  1    437546 1272375538 11712
## - phi.N         1   2938766 1274876758 11713
## - caliper       1   3074396 1275012389 11713
## <none>                      1271937992 11713
## - density       1   6228928 1278166920 11715
## - ind.med       1   6905855 1278843848 11716
## - SP            1   8191802 1280129794 11717
## - R.deep        1  22125695 1294063687 11726
## - depth         1  39139470 1311077462 11736
## - R.med         1  61773953 1333711946 11750
## - gamma         1  92865220 1364803212 11769
## - phi.core      1 112960440 1384898432 11781
## - Facies        7 479133709 1751071701 11961
## 
## Step:  AIC=11711.72
## k.core ~ depth + caliper + ind.med + gamma + phi.N + R.deep + 
##     R.med + SP + density + phi.core + Facies
## 
##            Df Sum of Sq        RSS   AIC
## - caliper   1   2980713 1275356252 11712
## <none>                  1272375538 11712
## - phi.N     1   3279032 1275654571 11712
## - density   1   5792837 1278168375 11713
## - ind.med   1   6813959 1279189497 11714
## - SP        1   8391302 1280766840 11715
## - R.deep    1  22009402 1294384940 11724
## - depth     1  38705776 1311081314 11734
## - R.med     1  61436819 1333812357 11748
## - gamma     1  93974329 1366349868 11768
## - phi.core  1 115336515 1387712053 11781
## - Facies    7 480267100 1752642639 11960
## 
## Step:  AIC=11711.64
## k.core ~ depth + ind.med + gamma + phi.N + R.deep + R.med + SP + 
##     density + phi.core + Facies
## 
##            Df Sum of Sq        RSS   AIC
## - phi.N     1   2534906 1277891157 11711
## <none>                  1275356252 11712
## - density   1   7270311 1282626562 11714
## - SP        1   8733336 1284089587 11715
## - ind.med   1  12924050 1288280301 11718
## - R.deep    1  22449117 1297805369 11724
## - depth     1  51507476 1326863728 11742
## - R.med     1  60137982 1335494234 11747
## - phi.core  1 112564835 1387921086 11779
## - gamma     1 141535555 1416891807 11796
## - Facies    7 520094756 1795451008 11978
## 
## Step:  AIC=11711.26
## k.core ~ depth + ind.med + gamma + R.deep + R.med + SP + density + 
##     phi.core + Facies
## 
##            Df Sum of Sq        RSS   AIC
## <none>                  1277891157 11711
## - density   1   5155969 1283047127 11713
## - SP        1   8515796 1286406953 11715
## - ind.med   1  10944937 1288836095 11716
## - R.deep    1  23273312 1301164469 11724
## - depth     1  49725248 1327616405 11740
## - R.med     1  59454645 1337345802 11746
## - phi.core  1 110154394 1388045551 11777
## - gamma     1 219059092 1496950249 11839
## - Facies    7 526383446 1804274603 11980
summary(model_4)
## 
## Call:
## lm(formula = k.core ~ depth + ind.med + gamma + R.deep + R.med + 
##     SP + density + phi.core + Facies, data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5608.3  -567.8    35.9   500.7  8989.7 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -4.322e+04  6.625e+03  -6.523 1.22e-10 ***
## depth        6.648e+00  1.189e+00   5.590 3.11e-08 ***
## ind.med      1.078e+00  4.111e-01   2.623 0.008894 ** 
## gamma       -5.324e+01  4.537e+00 -11.733  < 2e-16 ***
## R.deep      -2.395e+01  6.264e+00  -3.824 0.000141 ***
## R.med        5.515e+01  9.022e+00   6.112 1.53e-09 ***
## SP          -7.214e+00  3.118e+00  -2.313 0.020960 *  
## density      1.880e+03  1.044e+03   1.800 0.072240 .  
## phi.core     1.817e+02  2.184e+01   8.320 3.77e-16 ***
## FaciesF10    8.266e+02  3.533e+02   2.340 0.019553 *  
## FaciesF2     7.035e+02  5.567e+02   1.264 0.206697    
## FaciesF3     4.100e+02  3.228e+02   1.270 0.204443    
## FaciesF5     5.913e+02  3.211e+02   1.841 0.065924 .  
## FaciesF7    -3.159e+02  5.402e+02  -0.585 0.558866    
## FaciesF8    -1.455e+03  3.122e+02  -4.661 3.69e-06 ***
## FaciesF9    -3.017e+03  3.764e+02  -8.017 3.82e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1262 on 803 degrees of freedom
## Multiple R-squared:  0.6874, Adjusted R-squared:  0.6816 
## F-statistic: 117.7 on 15 and 803 DF,  p-value: < 2.2e-16
k.predicted_4 <-predict(model_4,data=data)
plot(k.predicted_4,data$k.core)

Backward Stepwise Selection: Again, backward stepwise selection is applied to model_3 to create model_4, simplifying the model by removing less important predictors. Predictions and Plot: Predictions are made using model_4 and compared to the actual values of k.core.

##Step 9: Calculate RMSE for Model 4

rmse_4<- RMSE(k.predicted_4,data$k.core )
rmse_4
## [1] 1249.122

RMSE Calculation: The RMSE for model_4 is computed to assess its performance

##Step 10: Log Transformation of k.core

data$log10_k.core<-log10(data$k.core)
model_5<- lm(log10_k.core~.-k.core,data=data)
summary(model_5)
## 
## Call:
## lm(formula = log10_k.core ~ . - k.core, data = data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.5804 -0.1138  0.0322  0.1529  0.7384 
## 
## Coefficients: (1 not defined because of singularities)
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   -2.3461877  4.6532000  -0.504  0.61425    
## depth          0.0007425  0.0004718   1.574  0.11596    
## caliper       -0.4605945  0.2693103  -1.710  0.08760 .  
## ind.deep      -0.0007951  0.0006222  -1.278  0.20168    
## ind.med        0.0007137  0.0006833   1.044  0.29659    
## gamma         -0.0091269  0.0015885  -5.746 1.30e-08 ***
## phi.N         -1.7628155  0.3901024  -4.519 7.16e-06 ***
## R.deep        -0.0025878  0.0016620  -1.557  0.11987    
## R.med          0.0044073  0.0023960   1.839  0.06622 .  
## SP            -0.0016935  0.0008312  -2.037  0.04194 *  
## density.corr   1.4462633  1.2712045   1.138  0.25558    
## density        1.6148374  0.3100921   5.208 2.44e-07 ***
## phi.core       0.0948634  0.0060329  15.724  < 2e-16 ***
## FaciesF10      0.0786460  0.0948909   0.829  0.40746    
## FaciesF2      -0.0184334  0.1537793  -0.120  0.90462    
## FaciesF3      -0.0307548  0.0883957  -0.348  0.72799    
## FaciesF5       0.1094193  0.0906034   1.208  0.22753    
## FaciesF7       0.2811620  0.1517797   1.852  0.06433 .  
## FaciesF8      -0.0976234  0.1038054  -0.940  0.34727    
## FaciesF9      -0.3562116  0.1135966  -3.136  0.00178 ** 
## phi.core.frac         NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.3335 on 799 degrees of freedom
## Multiple R-squared:  0.6806, Adjusted R-squared:  0.673 
## F-statistic:  89.6 on 19 and 799 DF,  p-value: < 2.2e-16
log_k.predicted_5 <-predict(model_5,data=data)
k.predicted_5<-10^log_k.predicted_5
plot(k.predicted_5,data$k.core)

Log Transformation: A new column log10_k.core is created by applying a logarithmic transformation (log10) to k.core. This can help stabilize variance if k.core has a skewed distribution. Model Creation: A linear regression model (model_5) is created to predict the log-transformed k.core. Predictions: Predictions are made using the log-transformed model, then inverse-transformed by raising 10 to the power of the predicted values (10^log_k.predicted_5) to get back to the original scale of k.core. Plot: The predicted values (k.predicted_5) are plotted against the actual values (data$k.core).

##Step 11: Calculate RMSE for Model 5

rmse_5<- RMSE(k.predicted_5,data$k.core )
rmse_5
## [1] 1333.017

RMSE Calculation: The RMSE for model_5 is calculated, comparing the log-transformed predictions back to the original k.core values.

##Step 12: Backward Stepwise Regression on Log-Transformed Model

model_6<-step(model_5, direction = "backward")
## Start:  AIC=-1779.02
## log10_k.core ~ (depth + caliper + ind.deep + ind.med + gamma + 
##     phi.N + R.deep + R.med + SP + density.corr + density + phi.core + 
##     k.core + Facies + phi.core.frac) - k.core
## 
## 
## Step:  AIC=-1779.02
## log10_k.core ~ depth + caliper + ind.deep + ind.med + gamma + 
##     phi.N + R.deep + R.med + SP + density.corr + density + phi.core + 
##     Facies
## 
##                Df Sum of Sq     RSS     AIC
## - ind.med       1    0.1213  88.981 -1779.9
## - density.corr  1    0.1440  89.004 -1779.7
## - ind.deep      1    0.1816  89.042 -1779.3
## <none>                       88.860 -1779.0
## - R.deep        1    0.2696  89.130 -1778.5
## - depth         1    0.2754  89.135 -1778.5
## - caliper       1    0.3253  89.185 -1778.0
## - R.med         1    0.3763  89.236 -1777.6
## - SP            1    0.4617  89.322 -1776.8
## - phi.N         1    2.2710  91.131 -1760.3
## - density       1    3.0160  91.876 -1753.7
## - gamma         1    3.6713  92.531 -1747.9
## - Facies        7    7.0758  95.936 -1730.3
## - phi.core      1   27.4982 116.358 -1560.2
## 
## Step:  AIC=-1779.9
## log10_k.core ~ depth + caliper + ind.deep + gamma + phi.N + R.deep + 
##     R.med + SP + density.corr + density + phi.core + Facies
## 
##                Df Sum of Sq     RSS     AIC
## - density.corr  1    0.1931  89.174 -1780.1
## <none>                       88.981 -1779.9
## - ind.deep      1    0.2179  89.199 -1779.9
## - R.deep        1    0.2447  89.226 -1779.7
## - caliper       1    0.2921  89.273 -1779.2
## - R.med         1    0.3397  89.321 -1778.8
## - SP            1    0.4101  89.391 -1778.1
## - depth         1    0.4622  89.444 -1777.7
## - phi.N         1    2.2035  91.185 -1761.9
## - density       1    3.0113  91.993 -1754.6
## - gamma         1    3.5761  92.557 -1749.6
## - Facies        7    9.1242  98.106 -1714.0
## - phi.core      1   27.4190 116.400 -1561.9
## 
## Step:  AIC=-1780.12
## log10_k.core ~ depth + caliper + ind.deep + gamma + phi.N + R.deep + 
##     R.med + SP + density + phi.core + Facies
## 
##            Df Sum of Sq     RSS     AIC
## - ind.deep  1    0.2180  89.392 -1780.1
## <none>                   89.174 -1780.1
## - R.deep    1    0.2526  89.427 -1779.8
## - caliper   1    0.2676  89.442 -1779.7
## - R.med     1    0.3598  89.534 -1778.8
## - SP        1    0.3832  89.558 -1778.6
## - depth     1    0.5404  89.715 -1777.2
## - phi.N     1    2.0726  91.247 -1763.3
## - gamma     1    3.4838  92.658 -1750.7
## - density   1    3.6220  92.796 -1749.5
## - Facies    7    9.3567  98.531 -1712.4
## - phi.core  1   27.2273 116.402 -1563.9
## 
## Step:  AIC=-1780.12
## log10_k.core ~ depth + caliper + gamma + phi.N + R.deep + R.med + 
##     SP + density + phi.core + Facies
## 
##            Df Sum of Sq     RSS     AIC
## <none>                   89.392 -1780.1
## - R.deep    1    0.2869  89.679 -1779.5
## - depth     1    0.3332  89.726 -1779.1
## - SP        1    0.4296  89.822 -1778.2
## - R.med     1    0.5085  89.901 -1777.5
## - caliper   1    0.5746  89.967 -1776.9
## - phi.N     1    2.3337  91.726 -1761.0
## - gamma     1    3.8214  93.214 -1747.8
## - density   1    3.8626  93.255 -1747.5
## - Facies    7    9.2100  98.602 -1713.8
## - phi.core  1   27.0935 116.486 -1565.3
summary(model_6)
## 
## Call:
## lm(formula = log10_k.core ~ depth + caliper + gamma + phi.N + 
##     R.deep + R.med + SP + density + phi.core + Facies, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.58182 -0.12001  0.03437  0.15230  0.70317 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.2671250  3.9316796  -0.322  0.74732    
## depth        0.0006562  0.0003796   1.729  0.08420 .  
## caliper     -0.5608681  0.2470292  -2.270  0.02344 *  
## gamma       -0.0091497  0.0015626  -5.855 6.94e-09 ***
## phi.N       -1.7463527  0.3816550  -4.576 5.50e-06 ***
## R.deep      -0.0026554  0.0016551  -1.604  0.10903    
## R.med        0.0049837  0.0023334   2.136  0.03300 *  
## SP          -0.0016140  0.0008221  -1.963  0.04996 *  
## density      1.7602255  0.2990153   5.887 5.79e-09 ***
## phi.core     0.0927539  0.0059493  15.591  < 2e-16 ***
## FaciesF10    0.0896953  0.0945929   0.948  0.34330    
## FaciesF2     0.0152576  0.1523676   0.100  0.92026    
## FaciesF3    -0.0292379  0.0869197  -0.336  0.73667    
## FaciesF5     0.1022238  0.0879087   1.163  0.24524    
## FaciesF7     0.2794793  0.1462763   1.911  0.05641 .  
## FaciesF8    -0.0932936  0.0927473  -1.006  0.31477    
## FaciesF9    -0.3877078  0.1030388  -3.763  0.00018 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.3339 on 802 degrees of freedom
## Multiple R-squared:  0.6787, Adjusted R-squared:  0.6722 
## F-statistic: 105.9 on 16 and 802 DF,  p-value: < 2.2e-16
log_k.predicted_6 <-predict(model_6,data=data)
k.predicted_6<-10^log_k.predicted_6
plot(k.predicted_6,data$k.core)

Backward Stepwise Selection: Backward stepwise regression is performed on model_5 to create model_6. Predictions and Plot: Predictions are made using model_6, and these predictions are inverse-transformed and compared to the actual values.

##Step 13: Calculate RMSE for Model 6

rmse_6<- RMSE(k.predicted_6,data$k.core )
rmse_6
## [1] 1330.932

RMSE Calculation: The RMSE for model_6 is computed to assess the performance of the log-transformed model after stepwise selection.

##Step 14: Split Data into Training and Testing Sets

library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
set.seed(12345)
training<-sample_frac(data, .80)
testing<-anti_join(data,training)
## Joining with `by = join_by(depth, caliper, ind.deep, ind.med, gamma, phi.N,
## R.deep, R.med, SP, density.corr, density, phi.core, k.core, Facies,
## phi.core.frac, log10_k.core)`

Data Split: The dataset is split into training (80%) and testing (20%) sets. This is done using sample_frac() from the dplyr package, and anti_join() ensures that the testing set contains the remaining data

##Step 15: Build Model 7 - Linear Regression on Training Set

model_7<- lm(log10_k.core~.-k.core,data=training)
summary(model_7)
## 
## Call:
## lm(formula = log10_k.core ~ . - k.core, data = training)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.57123 -0.11876  0.02389  0.14325  0.79914 
## 
## Coefficients: (1 not defined because of singularities)
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   -2.4732574  5.2931806  -0.467  0.64048    
## depth          0.0007823  0.0005429   1.441  0.15013    
## caliper       -0.4661148  0.3064028  -1.521  0.12870    
## ind.deep      -0.0005275  0.0007083  -0.745  0.45671    
## ind.med        0.0004756  0.0007769   0.612  0.54066    
## gamma         -0.0084138  0.0018608  -4.522 7.32e-06 ***
## phi.N         -1.7476182  0.4515742  -3.870  0.00012 ***
## R.deep        -0.0026534  0.0020047  -1.324  0.18611    
## R.med          0.0046611  0.0028759   1.621  0.10557    
## SP            -0.0022459  0.0009607  -2.338  0.01972 *  
## density.corr   1.6498996  1.3916437   1.186  0.23623    
## density        1.5514223  0.3493920   4.440 1.06e-05 ***
## phi.core       0.0950263  0.0068555  13.861  < 2e-16 ***
## FaciesF10      0.0891010  0.1084215   0.822  0.41150    
## FaciesF2      -0.0045917  0.1652854  -0.028  0.97785    
## FaciesF3      -0.0705671  0.1022238  -0.690  0.49025    
## FaciesF5       0.1276889  0.1055910   1.209  0.22701    
## FaciesF7       0.3135309  0.1645276   1.906  0.05715 .  
## FaciesF8      -0.1040710  0.1209194  -0.861  0.38975    
## FaciesF9      -0.3722565  0.1340632  -2.777  0.00565 ** 
## phi.core.frac         NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.3399 on 635 degrees of freedom
## Multiple R-squared:  0.6689, Adjusted R-squared:  0.659 
## F-statistic: 67.53 on 19 and 635 DF,  p-value: < 2.2e-16
log_k.predicted_7 <-predict(model_7,newdata=testing)
k.predicted_7<-10^log_k.predicted_7
plot(k.predicted_7,testing$k.core)

Model Creation: model_7 is built using the training set to predict the log-transformed k.core. Predictions: Predictions are made on the testing set (newdata = testing), then inverse-transformed. Plot: The predicted values (k.predicted_7) are plotted against the actual values in the testing set.

##Step 16: Calculate RMSE for Model 7

rmse_7<- RMSE(k.predicted_7,testing$k.core )
rmse_7
## [1] 1619.041

RMSE Calculation: The RMSE for model_7 is computed based on the predicted values (k.predicted_7) and the actual k.core values from the testing set. This helps to evaluate the model’s accuracy when making predictions on new, unseen data.

##Step 17: Build Model 8 - Backward Stepwise Regression on Model 7

model_8<-step(model_7, direction = "backward")
## Start:  AIC=-1394.04
## log10_k.core ~ (depth + caliper + ind.deep + ind.med + gamma + 
##     phi.N + R.deep + R.med + SP + density.corr + density + phi.core + 
##     k.core + Facies + phi.core.frac) - k.core
## 
## 
## Step:  AIC=-1394.04
## log10_k.core ~ depth + caliper + ind.deep + ind.med + gamma + 
##     phi.N + R.deep + R.med + SP + density.corr + density + phi.core + 
##     Facies
## 
##                Df Sum of Sq    RSS     AIC
## - ind.med       1    0.0433 73.395 -1395.7
## - ind.deep      1    0.0641 73.416 -1395.5
## - density.corr  1    0.1624 73.514 -1394.6
## - R.deep        1    0.2024 73.554 -1394.2
## <none>                      73.352 -1394.0
## - depth         1    0.2398 73.592 -1393.9
## - caliper       1    0.2673 73.619 -1393.7
## - R.med         1    0.3034 73.655 -1393.3
## - SP            1    0.6312 73.983 -1390.4
## - phi.N         1    1.7301 75.082 -1380.8
## - density       1    2.2776 75.629 -1376.0
## - gamma         1    2.3617 75.714 -1375.3
## - Facies        7    6.4874 79.839 -1352.5
## - phi.core      1   22.1943 95.546 -1222.9
## 
## Step:  AIC=-1395.65
## log10_k.core ~ depth + caliper + ind.deep + gamma + phi.N + R.deep + 
##     R.med + SP + density.corr + density + phi.core + Facies
## 
##                Df Sum of Sq    RSS     AIC
## - ind.deep      1    0.0759 73.471 -1397.0
## - R.deep        1    0.1888 73.584 -1396.0
## - density.corr  1    0.1974 73.593 -1395.9
## <none>                      73.395 -1395.7
## - caliper       1    0.2469 73.642 -1395.5
## - R.med         1    0.2845 73.680 -1395.1
## - depth         1    0.3477 73.743 -1394.5
## - SP            1    0.6012 73.996 -1392.3
## - phi.N         1    1.7008 75.096 -1382.6
## - density       1    2.2803 75.676 -1377.6
## - gamma         1    2.3195 75.715 -1377.3
## - Facies        7    7.7978 81.193 -1343.5
## - phi.core      1   22.1551 95.550 -1224.9
## 
## Step:  AIC=-1396.97
## log10_k.core ~ depth + caliper + gamma + phi.N + R.deep + R.med + 
##     SP + density.corr + density + phi.core + Facies
## 
##                Df Sum of Sq    RSS     AIC
## - density.corr  1    0.1982 73.669 -1397.2
## - R.deep        1    0.2114 73.682 -1397.1
## <none>                      73.471 -1397.0
## - depth         1    0.2718 73.743 -1396.5
## - R.med         1    0.3711 73.842 -1395.7
## - caliper       1    0.4138 73.885 -1395.3
## - SP            1    0.6465 74.118 -1393.2
## - phi.N         1    1.8773 75.348 -1382.5
## - density       1    2.4061 75.877 -1377.9
## - gamma         1    2.4768 75.948 -1377.2
## - Facies        7    7.7419 81.213 -1345.3
## - phi.core      1   22.2233 95.694 -1225.9
## 
## Step:  AIC=-1397.21
## log10_k.core ~ depth + caliper + gamma + phi.N + R.deep + R.med + 
##     SP + density + phi.core + Facies
## 
##            Df Sum of Sq    RSS     AIC
## - R.deep    1    0.2189 73.888 -1397.3
## <none>                  73.669 -1397.2
## - depth     1    0.3370 74.006 -1396.2
## - caliper   1    0.3897 74.059 -1395.8
## - R.med     1    0.3941 74.063 -1395.7
## - SP        1    0.6070 74.276 -1393.8
## - phi.N     1    1.7504 75.420 -1383.8
## - gamma     1    2.3915 76.061 -1378.3
## - density   1    2.8893 76.559 -1374.0
## - Facies    7    7.9373 81.607 -1344.2
## - phi.core  1   22.0361 95.705 -1227.8
## 
## Step:  AIC=-1397.26
## log10_k.core ~ depth + caliper + gamma + phi.N + R.med + SP + 
##     density + phi.core + Facies
## 
##            Df Sum of Sq    RSS     AIC
## <none>                  73.888 -1397.3
## - depth     1    0.2491 74.137 -1397.1
## - R.med     1    0.3477 74.236 -1396.2
## - caliper   1    0.3903 74.278 -1395.8
## - SP        1    0.5090 74.397 -1394.8
## - phi.N     1    1.8514 75.740 -1383.0
## - gamma     1    2.2934 76.182 -1379.2
## - density   1    2.7627 76.651 -1375.2
## - Facies    7    7.8761 81.764 -1344.9
## - phi.core  1   22.6856 96.574 -1223.9
summary(model_8)
## 
## Call:
## lm(formula = log10_k.core ~ depth + caliper + gamma + phi.N + 
##     R.med + SP + density + phi.core + Facies, data = training)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -2.58792 -0.11365  0.02482  0.14757  0.76086 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.4288931  4.5051297  -0.317   0.7512    
## depth        0.0006448  0.0004394   1.468   0.1427    
## caliper     -0.5199205  0.2830059  -1.837   0.0667 .  
## gamma       -0.0081181  0.0018229  -4.453 9.97e-06 ***
## phi.N       -1.7577281  0.4392713  -4.001 7.03e-05 ***
## R.med        0.0015024  0.0008664   1.734   0.0834 .  
## SP          -0.0019650  0.0009366  -2.098   0.0363 *  
## density      1.6440250  0.3363417   4.888 1.29e-06 ***
## phi.core     0.0940016  0.0067112  14.007  < 2e-16 ***
## FaciesF10    0.1191848  0.1069107   1.115   0.2654    
## FaciesF2     0.0434273  0.1630734   0.266   0.7901    
## FaciesF3    -0.0576872  0.0999261  -0.577   0.5639    
## FaciesF5     0.1577376  0.0999557   1.578   0.1150    
## FaciesF7     0.3390997  0.1567647   2.163   0.0309 *  
## FaciesF8    -0.0573559  0.1056215  -0.543   0.5873    
## FaciesF9    -0.3543834  0.1193547  -2.969   0.0031 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.34 on 639 degrees of freedom
## Multiple R-squared:  0.6665, Adjusted R-squared:  0.6587 
## F-statistic: 85.14 on 15 and 639 DF,  p-value: < 2.2e-16
log_k.predicted_8 <-predict(model_8,newdata=testing)
k.predicted_8<-10^log_k.predicted_8
plot(k.predicted_8,testing$k.core)

Backward Stepwise Selection: Similar to earlier steps, backward stepwise selection is applied to model_7 to create model_8. This removes the less significant predictors, resulting in a more efficient model. Predictions on Testing Set: The predict() function is used to generate predictions (log_k.predicted_8) on the testing set using the simplified model. These predictions are inverse-transformed back to the original scale (k.predicted_8). Plot: A scatter plot is created to visualize the predicted values (k.predicted_8) against the actual values (testing$k.core) from the testing set.

##Step 18: Calculate RMSE for Model 8

rmse_8<- RMSE(k.predicted_8,testing$k.core )
rmse_8
## [1] 1669.368

RMSE Calculation: The RMSE for model_8 is calculated to evaluate its performance on the testing data. This allows for comparison with the previous models and helps to understand how much the model improved (or not) with backward selection.