Modelo Lineal Multivariable – Variables Geoquímicas
1 CARGA DE DATOS Y LIBRERIAS
CARGA DE LIBRERÍAS
##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionCARGA DE DATOS
# Ruta del archivo
ruta <- "D:/datos_geoquimicos_2500.csv"
# Lectura de datos
datos <- read_csv(ruta)## Rows: 2500 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (3): CU_PPM, PH, FE_PERCENT
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.2 TABLA DE VALORES
# Selección de variables geoquímicas
cobre <- as.numeric(datos$CU_PPM)
ph <- as.numeric(datos$PH)
hierro <- as.numeric(datos$FE_PERCENT)
Geoquimica <- data.frame(
y = cobre,
x1 = ph,
x2 = hierro
)
# Quitar NA
Geoquimica <- na.omit(Geoquimica)
# Solo valores positivos
Geoquimica <- Geoquimica[
Geoquimica$y > 0 &
Geoquimica$x1 > 0 &
Geoquimica$x2 > 0, ]
# Función para filtrar outliers (IQR)
filtro_iqr <- function(v){
Q1 <- quantile(v, 0.25)
Q3 <- quantile(v, 0.75)
IQRv <- Q3 - Q1
li <- Q1 - 1.5 * IQRv
ls <- Q3 + 1.5 * IQRv
return(v >= li & v <= ls)
}
# Tabla sin outliers
Geoquimica <- Geoquimica[
filtro_iqr(Geoquimica$y) &
filtro_iqr(Geoquimica$x1) &
filtro_iqr(Geoquimica$x2), ]
Geoquimica## y x1 x2
## 1 94.928 6.848 13.712
## 2 96.904 6.403 14.905
## 3 82.947 6.953 11.006
## 4 86.163 7.566 10.163
## 5 77.631 6.336 8.745
## 6 75.943 6.336 9.524
## 8 104.921 7.037 15.734
## 9 70.821 6.171 7.947
## 10 75.826 6.880 8.033
## 11 95.219 6.176 13.446
## 12 93.995 6.174 13.642
## 13 94.796 6.669 13.647
## 14 78.571 5.161 11.235
## 15 81.256 5.293 11.624
## 16 88.628 6.106 12.984
## 17 81.068 5.791 12.258
## 18 70.446 6.720 5.342
## 19 83.078 5.864 11.311
## 20 75.391 5.511 9.446
## 21 94.837 7.526 12.526
## 23 91.876 6.547 13.102
## 24 76.602 5.503 11.059
## 25 101.059 6.119 14.765
## 26 90.925 6.578 13.448
## 27 86.473 5.694 13.260
## 28 94.866 6.763 13.821
## 29 110.609 6.080 18.170
## 30 75.378 6.296 8.607
## 31 88.432 6.079 13.421
## 32 87.456 7.797 9.221
## 33 95.596 6.491 13.667
## 34 76.184 5.760 9.244
## 35 88.156 7.076 10.748
## 36 86.267 5.645 11.115
## 37 103.955 6.646 14.927
## 38 89.749 5.128 14.755
## 39 74.230 5.570 8.263
## 40 90.281 6.638 12.165
## 41 84.329 7.017 9.871
## 42 71.839 6.620 8.224
## 43 85.158 6.419 11.349
## 44 82.161 6.289 11.075
## 45 110.534 5.465 19.280
## 46 92.684 5.996 13.299
## 47 67.623 6.178 7.867
## 48 85.773 7.240 10.306
## 49 102.547 6.741 15.064
## 50 103.794 5.266 18.265
## 51 74.240 6.727 7.242
## 52 67.939 6.230 6.360
## 53 106.322 6.026 17.613
## 54 93.749 6.928 13.169
## 55 79.871 7.222 9.395
## 56 94.475 7.152 13.604
## 57 59.265 5.913 4.093
## 58 87.239 6.284 12.010
## 59 92.450 6.732 12.983
## 60 100.250 7.183 14.773
## 61 75.273 6.165 8.958
## 62 90.779 6.370 12.257
## 63 74.028 5.726 9.224
## 64 83.912 5.663 12.766
## 65 83.165 7.069 9.314
## 66 88.021 7.449 10.776
## 67 77.571 6.450 9.013
## 68 101.945 7.202 13.953
## 69 98.384 6.753 14.575
## 70 84.205 6.048 11.296
## 71 87.222 6.753 12.115
## 72 77.674 7.577 7.654
## 73 86.274 6.475 11.101
## 74 89.508 7.595 11.849
## 76 79.508 7.075 8.664
## 77 103.957 6.561 16.393
## 78 99.944 6.291 14.991
## 79 92.191 6.564 12.842
## 80 103.239 5.109 17.276
## 81 89.183 6.346 13.116
## 82 93.785 6.750 13.167
## 83 92.794 7.535 11.841
## 84 96.954 6.137 15.671
## 85 99.100 5.934 15.289
## 86 85.059 6.149 10.123
## 87 77.386 7.141 8.042
## 88 88.284 6.730 11.391
## 89 78.206 6.129 9.600
## 90 87.688 6.859 11.809
## 91 97.514 6.568 15.712
## 92 85.100 7.178 10.628
## 93 82.329 6.009 11.872
## 94 91.457 6.271 12.174
## 95 95.538 6.226 14.545
## 96 58.929 5.476 5.259
## 97 84.781 6.707 10.180
## 98 88.828 6.683 12.634
## 99 99.131 6.504 15.600
## 100 82.397 6.336 10.524
## 101 66.004 5.509 6.370
## 102 94.397 6.206 13.859
## 103 80.923 6.260 10.094
## 104 73.185 5.938 8.431
## 105 81.983 6.387 10.127
## 106 88.064 6.783 11.446
## 107 85.922 7.820 10.186
## 108 65.730 6.622 5.383
## 109 96.122 6.680 14.691
## 110 101.514 6.448 15.825
## 111 87.536 5.157 13.955
## 112 81.752 6.481 8.587
## 113 86.199 6.542 11.396
## 114 93.319 8.224 11.980
## 115 93.546 6.365 13.796
## 116 97.373 6.711 14.005
## 117 84.056 6.476 9.797
## 118 83.837 5.682 12.246
## 119 93.360 7.300 13.372
## 120 107.810 7.026 16.367
## 121 95.218 7.054 14.114
## 122 92.470 5.863 14.367
## 123 93.227 7.482 12.251
## 124 98.146 5.519 16.231
## 125 95.991 6.911 13.229
## 126 85.015 8.033 9.417
## 127 99.005 5.807 16.210
## 128 93.594 6.104 14.094
## 129 84.212 6.570 10.671
## 130 81.689 6.148 10.562
## 131 87.063 5.415 12.890
## 132 95.150 6.548 13.390
## 133 87.566 5.756 12.592
## 134 94.058 6.832 12.934
## 135 99.479 5.856 17.100
## 136 104.769 7.585 15.215
## 137 88.625 5.952 12.572
## 138 98.605 6.275 14.824
## 139 78.569 7.069 8.902
## 140 86.793 5.638 13.194
## 141 106.699 6.659 17.428
## 142 91.483 7.415 11.346
## 143 76.173 5.375 9.457
## 144 81.077 6.629 10.044
## 145 79.630 6.682 8.731
## 146 82.859 7.047 9.646
## 147 79.880 5.634 10.888
## 148 68.540 5.576 7.783
## 149 91.760 6.865 12.047
## 150 99.388 6.708 14.707
## 151 84.517 6.675 9.277
## 152 103.442 6.743 16.558
## 153 92.418 6.024 13.532
## 154 98.637 6.663 15.092
## 155 80.365 6.705 10.026
## 156 94.748 6.000 14.564
## 157 83.306 7.806 8.724
## 158 105.560 6.832 14.671
## 159 85.596 5.666 12.516
## 160 93.729 6.960 13.660
## 161 73.182 5.818 8.473
## 162 76.882 7.051 9.315
## 163 98.161 7.311 13.792
## 164 75.520 5.926 9.155
## 165 98.049 7.174 13.390
## 166 77.374 6.789 7.899
## 167 98.760 7.075 14.545
## 168 81.300 7.828 8.302
## 169 91.489 6.328 13.657
## 170 89.755 5.972 13.877
## 171 78.577 5.877 9.910
## 172 88.768 5.929 13.746
## 173 89.763 6.446 12.781
## 174 81.499 6.739 10.383
## 175 79.749 6.694 8.974
## 176 74.335 7.079 6.112
## 177 89.052 6.509 13.049
## 178 72.577 7.517 7.306
## 179 88.037 6.315 12.286
## 181 97.914 6.938 14.037
## 182 81.167 5.900 11.094
## 183 80.701 5.750 11.012
## 184 98.314 6.838 14.196
## 185 93.256 6.344 13.005
## 186 89.618 7.000 12.948
## 187 93.906 6.831 13.408
## 188 72.302 6.449 7.393
## 189 91.282 5.907 14.270
## 190 93.350 5.440 13.837
## 191 74.627 6.187 8.950
## 192 88.424 7.099 11.268
## 193 89.730 6.650 11.882
## 194 81.301 5.628 11.597
## 195 88.225 6.621 13.002
## 196 103.581 6.770 16.294
## 197 98.854 5.881 15.245
## 198 74.197 6.608 8.063
## 199 93.065 6.541 13.866
## 200 100.350 5.700 15.987
## 201 92.736 6.750 13.160
## 202 100.417 6.893 15.273
## 203 113.297 7.258 18.037
## 204 104.185 7.238 15.071
## 205 91.429 5.536 12.748
## 206 97.842 5.844 15.135
## 207 94.003 6.861 12.435
## 208 89.064 6.860 12.072
## 209 83.984 6.861 10.946
## 211 81.760 6.900 9.545
## 212 105.733 7.295 16.597
## 213 96.268 7.168 13.500
## 214 76.574 6.956 7.802
## 215 91.794 6.279 13.103
## 216 69.809 7.031 5.700
## 217 92.811 5.959 13.877
## 218 95.584 6.334 14.656
## 219 79.219 6.160 10.223
## 220 87.135 6.557 12.371
## 222 76.645 5.193 10.483
## 223 78.893 6.980 8.823
## 224 96.295 5.371 16.445
## 225 113.680 6.170 17.888
## 226 89.536 7.262 12.011
## 227 98.093 6.545 15.034
## 228 99.579 5.746 16.024
## 229 79.321 5.999 9.773
## 230 87.495 6.976 10.544
## 231 102.647 5.989 15.693
## 232 107.733 6.652 17.055
## 233 91.940 6.532 13.689
## 234 76.207 6.044 9.361
## 235 116.945 8.001 17.961
## 236 89.305 6.944 10.407
## 237 74.801 5.082 10.995
## 238 95.067 6.631 13.027
## 239 102.691 6.037 16.662
## 240 101.874 7.097 14.562
## 241 89.669 5.945 13.245
## 242 90.826 6.420 13.390
## 243 92.006 6.853 12.131
## 244 98.409 7.106 13.674
## 245 59.745 5.660 4.411
## 246 83.932 6.266 11.110
## 247 87.818 6.168 12.724
## 248 70.490 6.043 8.547
## 249 99.991 7.736 13.159
## 250 88.346 6.783 11.387
## 251 100.271 5.617 17.266
## 252 106.616 7.143 16.719
## 253 89.413 7.986 10.603
## 254 86.823 7.223 11.547
## 255 80.520 5.436 11.778
## 256 79.336 6.161 10.645
## 257 93.597 7.387 12.585
## 258 76.235 6.005 9.725
## 259 74.240 6.811 8.608
## 260 101.791 7.042 13.868
## 261 94.451 5.851 13.889
## 262 77.841 6.458 9.587
## 264 79.045 5.783 10.105
## 265 92.630 6.323 12.759
## 266 90.820 5.627 14.461
## 267 95.735 7.643 11.899
## 268 86.964 5.499 13.364
## 269 78.360 6.192 10.451
## 270 88.169 6.592 11.411
## 271 93.721 7.509 11.382
## 272 81.230 5.495 9.760
## 273 87.613 7.314 11.470
## 274 73.512 6.507 7.354
## 275 78.843 5.813 10.527
## 276 88.485 6.823 11.145
## 277 82.944 6.639 11.231
## 278 80.869 6.080 11.276
## 279 86.079 6.549 11.815
## 280 92.113 6.230 13.438
## 281 96.353 6.579 14.624
## 282 85.052 6.963 10.051
## 283 83.155 7.610 8.390
## 284 74.419 5.634 8.874
## 285 93.813 7.993 10.538
## 286 78.861 5.134 10.944
## 287 76.928 6.394 9.690
## 288 79.567 6.912 8.112
## 289 83.024 6.697 10.632
## 290 90.016 6.064 12.544
## 291 97.211 6.354 13.785
## 292 81.695 6.155 10.328
## 293 78.592 6.087 10.761
## 294 79.304 7.095 9.220
## 295 91.979 6.750 11.906
## 296 76.591 6.015 9.455
## 297 97.416 7.130 13.719
## 298 72.150 6.715 6.642
## 299 88.687 7.069 10.921
## 300 94.091 6.941 12.903
## 301 86.886 5.920 12.552
## 303 96.271 7.023 13.049
## 304 80.926 6.927 8.988
## 305 86.561 6.485 11.714
## 306 72.324 6.582 6.671
## 307 91.363 7.394 11.758
## 308 75.592 6.086 9.501
## 309 97.980 6.883 14.746
## 310 79.597 6.358 10.351
## 311 85.643 6.348 11.650
## 312 87.933 7.269 10.093
## 313 107.460 7.078 17.217
## 314 87.975 7.069 11.036
## 315 110.384 7.414 17.498
## 316 96.246 6.515 14.442
## 317 92.231 6.977 13.446
## 318 90.544 6.283 13.106
## 319 92.998 6.727 13.181
## 320 68.711 6.409 6.217
## 321 86.089 6.568 11.163
## 322 96.437 6.917 14.535
## 323 87.323 5.927 11.853
## 324 80.939 7.965 7.784
## 325 84.706 5.796 11.843
## 326 101.993 5.650 17.112
## 327 104.045 7.311 15.741
## 328 90.688 7.054 11.814
## 329 101.334 6.937 14.854
## 330 82.620 6.940 10.900
## 331 69.083 6.491 6.888
## 332 74.917 5.872 9.227
## 333 105.429 6.553 16.689
## 334 85.673 6.026 11.178
## 335 87.223 7.183 11.270
## 336 83.462 6.397 11.100
## 337 104.292 5.922 17.712
## 338 102.429 6.275 16.878
## 339 112.121 6.789 18.656
## 340 86.332 6.105 11.523
## 341 86.223 5.924 12.887
## 342 74.035 6.671 7.450
## 343 100.787 6.671 16.431
## 344 73.000 6.145 8.497
## 345 88.169 6.170 12.650
## 346 81.143 6.662 8.708
## 347 76.547 5.486 10.233
## 348 69.837 5.515 9.488
## 349 75.006 5.997 10.176
## 350 81.897 6.351 10.383
## 351 84.838 6.718 10.355
## 352 102.733 7.533 14.500
## 353 79.849 7.100 8.685
## 354 92.535 6.388 12.662
## 355 99.738 6.487 15.654
## 356 81.412 5.798 10.460
## 357 77.009 6.487 9.846
## 358 82.819 6.298 11.308
## 359 97.696 6.726 15.539
## 360 86.854 5.921 12.582
## 361 84.265 6.864 10.406
## 362 98.682 7.573 13.452
## 363 76.397 6.424 8.693
## 364 94.663 6.781 14.044
## 365 94.391 6.983 13.226
## 366 80.326 6.219 11.077
## 367 83.147 6.657 9.484
## 368 78.264 6.509 9.340
## 369 93.068 6.568 13.604
## 370 102.003 5.959 15.687
## 371 78.858 6.517 10.088
## 372 92.210 6.849 13.375
## 373 68.750 7.516 5.739
## 374 85.135 7.171 10.246
## 375 96.058 8.007 11.907
## 376 77.697 5.963 9.271
## 377 86.956 7.111 9.190
## 378 76.856 6.628 9.997
## 379 99.965 8.033 12.877
## 380 82.291 5.934 11.438
## 381 60.587 5.912 5.285
## 382 62.555 6.080 5.638
## 383 72.692 5.013 10.179
## 384 94.945 6.132 13.373
## 386 83.509 6.605 10.501
## 387 86.795 6.739 10.421
## 388 105.754 7.813 16.165
## 389 84.423 7.165 10.845
## 390 85.491 6.096 13.149
## 391 85.126 5.871 12.424
## 392 67.838 6.844 5.608
## 393 92.056 5.576 14.305
## 394 96.944 7.782 12.646
## 395 94.395 7.326 13.525
## 397 61.088 5.301 5.748
## 398 112.471 7.448 17.174
## 399 80.633 6.420 11.138
## 400 96.061 7.366 12.862
## 401 79.752 5.384 11.863
## 402 80.858 6.080 10.727
## 403 83.410 6.504 10.291
## 404 92.018 6.533 12.989
## 405 68.884 6.185 7.448
## 406 98.188 6.936 14.252
## 407 76.873 5.753 10.751
## 408 78.386 6.400 8.610
## 409 83.427 6.584 10.650
## 410 105.589 6.860 15.771
## 411 83.812 6.998 10.394
## 412 87.033 5.713 13.075
## 413 73.689 5.426 9.807
## 414 102.379 7.394 14.274
## 415 94.954 6.733 14.057
## 416 106.514 5.976 17.546
## 417 90.727 7.586 11.473
## 418 91.262 6.581 14.006
## 419 91.937 7.326 12.294
## 420 99.439 6.547 15.888
## 421 87.651 7.943 9.844
## 422 99.302 7.729 14.235
## 423 87.356 6.326 11.416
## 424 90.590 7.180 11.807
## 425 90.941 6.952 12.275
## 426 96.890 7.458 12.757
## 427 85.858 5.825 11.651
## 428 92.715 6.980 12.644
## 429 106.630 7.241 16.734
## 430 88.735 5.269 14.956
## 431 91.841 5.672 14.607
## 432 75.207 5.073 10.633
## 433 78.193 6.311 9.332
## 434 99.882 7.002 14.866
## 435 103.960 7.552 14.628
## 436 102.563 6.552 16.418
## 437 87.205 7.640 10.188
## 438 83.757 5.534 11.311
## 439 66.014 5.308 7.082
## 440 83.760 6.461 10.823
## 441 98.630 6.769 14.990
## 442 81.799 6.477 10.601
## 443 86.107 5.053 13.921
## 444 84.710 6.438 11.428
## 445 88.882 5.587 12.972
## 446 77.911 6.969 8.557
## 447 87.357 6.757 12.256
## 449 85.215 6.140 11.439
## 450 64.426 5.759 7.109
## 451 99.680 6.456 15.618
## 452 99.816 7.169 14.332
## 453 93.538 5.810 13.400
## 454 103.426 6.853 16.563
## 455 78.602 6.129 9.153
## 456 106.962 5.945 17.242
## 457 96.245 6.425 14.797
## 458 81.627 5.775 11.290
## 459 95.984 6.112 15.407
## 460 72.111 5.661 8.681
## 461 86.064 7.875 9.526
## 462 83.380 6.525 10.174
## 463 82.693 6.010 10.413
## 464 76.179 6.650 8.830
## 465 96.337 6.421 15.669
## 466 84.693 6.345 11.223
## 467 94.611 6.930 13.058
## 468 85.305 7.030 10.289
## 469 66.583 6.129 6.538
## 470 89.375 6.097 12.810
## 471 70.531 6.307 6.263
## 472 80.585 4.889 11.794
## 473 67.920 5.439 7.895
## 474 112.559 7.457 17.962
## 475 102.923 7.651 14.734
## 476 92.074 6.326 12.317
## 477 103.003 6.904 15.791
## 478 80.316 6.718 9.461
## 480 96.478 7.284 12.599
## 481 94.854 6.410 12.792
## 482 99.340 5.831 15.817
## 483 90.676 5.375 14.197
## 484 91.996 6.642 12.866
## 485 63.037 5.971 7.035
## 486 74.980 5.504 9.120
## 487 85.034 6.047 11.632
## 488 86.489 5.743 12.280
## 489 80.436 7.681 8.609
## 490 115.639 7.117 19.235
## 491 103.191 6.494 16.549
## 492 101.742 7.536 13.806
## 493 88.383 6.554 12.216
## 494 87.660 5.897 11.363
## 495 84.270 7.566 9.144
## 496 88.018 6.877 12.232
## 497 87.138 5.774 12.773
## 498 73.088 6.367 8.275
## 499 83.939 5.887 13.003
## 500 85.442 5.532 11.534
## 501 72.827 7.148 6.277
## 502 86.755 7.837 9.419
## 503 79.522 5.521 10.759
## 504 106.872 6.894 17.663
## 505 90.794 6.045 13.670
## 506 74.393 6.159 7.994
## 507 89.000 6.085 13.458
## 508 63.480 5.895 7.358
## 509 99.232 6.534 15.248
## 510 80.149 5.918 10.587
## 511 88.424 6.689 11.719
## 512 103.555 6.465 15.977
## 513 75.285 6.333 8.139
## 514 71.050 5.865 7.809
## 515 82.764 6.096 10.249
## 516 98.299 7.029 15.115
## 517 75.040 6.851 7.442
## 519 81.070 6.570 10.647
## 520 93.212 7.026 13.655
## 521 93.552 5.331 15.601
## 522 83.707 6.880 10.611
## 523 83.311 6.036 10.766
## 524 100.881 6.899 15.462
## 525 64.119 5.966 6.391
## 526 76.711 5.237 10.834
## 527 87.192 5.361 12.571
## 528 93.107 6.534 13.348
## 529 83.325 6.682 10.471
## 530 85.281 5.867 12.103
## 531 67.061 6.947 4.535
## 532 74.058 5.337 10.025
## 533 95.634 6.454 13.361
## 534 74.280 5.652 9.053
## 535 86.276 6.044 12.177
## 536 98.553 6.533 13.341
## 537 79.390 5.898 10.972
## 538 87.920 6.231 12.511
## 539 78.761 7.204 9.112
## 540 86.188 6.096 11.380
## 541 101.131 7.085 13.831
## 542 89.726 5.709 12.471
## 543 86.514 6.871 10.240
## 544 94.963 7.509 12.673
## 545 86.595 4.770 14.144
## 546 60.321 5.942 5.850
## 547 106.788 6.904 15.477
## 548 85.019 6.358 10.991
## 549 92.832 6.760 13.276
## 550 101.663 6.077 15.592
## 551 71.948 6.561 7.885
## 552 81.122 6.391 9.872
## 553 88.714 7.317 11.134
## 554 82.231 6.678 9.649
## 555 107.411 6.736 17.205
## 556 74.628 6.212 9.430
## 557 80.895 6.159 10.333
## 558 91.200 6.197 12.613
## 559 76.839 6.776 8.394
## 560 84.336 6.205 10.813
## 561 90.207 6.703 12.952
## 562 91.621 7.953 11.001
## 563 88.772 7.110 11.720
## 564 83.190 6.272 10.412
## 565 76.403 7.341 7.457
## 566 91.724 6.214 12.965
## 567 102.172 5.073 17.265
## 568 86.528 5.794 12.055
## 569 84.880 5.190 12.676
## 570 92.096 6.254 14.078
## 571 74.928 6.513 8.192
## 572 110.536 7.674 17.108
## 573 90.666 6.729 12.607
## 574 103.774 6.347 16.896
## 575 81.134 7.081 9.801
## 576 95.554 4.952 17.454
## 577 95.661 6.665 14.325
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## 1734 90.981 6.288 13.513
## 1735 75.829 7.060 7.311
## 1736 71.506 5.369 8.462
## 1737 101.514 5.762 16.305
## 1738 81.696 5.753 10.958
## 1739 113.110 7.165 16.360
## 1740 90.865 7.697 11.765
## 1741 64.746 6.427 6.474
## 1742 96.135 6.382 14.676
## 1743 78.792 6.549 10.230
## 1744 96.157 7.313 14.096
## 1745 83.146 5.851 12.076
## 1746 70.769 6.667 7.371
## 1747 91.102 7.183 12.493
## 1748 114.084 6.851 18.589
## 1749 92.900 6.633 13.479
## 1750 90.565 7.201 11.827
## 1752 91.004 6.975 12.632
## 1753 87.620 6.042 12.629
## 1754 71.392 5.219 8.725
## 1755 88.102 6.858 12.702
## 1756 98.441 7.462 15.106
## 1757 79.721 6.404 9.492
## 1758 107.441 7.167 16.273
## 1759 97.196 7.629 11.725
## 1760 83.644 7.420 9.337
## 1761 105.989 7.648 14.993
## 1762 87.252 7.019 11.140
## 1763 97.082 6.553 14.279
## 1764 83.422 5.379 11.125
## 1765 82.072 6.328 11.821
## 1766 91.459 5.910 13.481
## 1767 103.247 8.020 12.873
## 1768 67.276 6.377 6.013
## 1769 80.472 6.586 8.636
## 1770 98.428 6.886 14.788
## 1771 86.889 6.531 11.604
## 1772 88.470 7.687 10.429
## 1773 66.964 6.064 7.924
## 1774 74.947 6.636 8.761
## 1775 62.063 5.980 5.935
## 1776 84.510 5.576 11.696
## 1777 81.780 6.072 10.205
## 1778 78.639 6.474 9.100
## 1779 87.855 6.199 11.796
## 1780 89.334 6.015 13.092
## 1781 108.098 5.516 18.280
## 1782 72.065 6.442 7.464
## 1783 95.445 5.447 15.478
## 1784 100.387 7.032 14.919
## 1785 81.802 6.558 9.663
## 1786 84.510 5.480 12.610
## 1787 84.504 6.284 10.627
## 1788 85.132 5.973 12.557
## 1789 102.701 6.723 16.527
## 1790 100.575 7.438 13.817
## 1791 87.045 5.187 13.526
## 1792 83.070 6.581 10.709
## 1793 74.037 6.388 7.548
## 1794 86.931 6.970 11.375
## 1795 101.145 6.649 15.620
## 1796 72.716 5.974 7.418
## 1797 79.436 6.277 8.835
## 1798 90.310 5.943 12.379
## 1799 80.856 7.253 9.046
## 1800 82.658 6.515 9.622
## 1801 88.053 7.831 10.729
## 1802 71.662 6.458 7.903
## 1803 70.420 6.004 9.078
## 1804 94.180 5.440 14.110
## 1805 66.513 5.238 8.078
## 1806 65.821 5.391 7.206
## 1807 80.480 6.687 10.110
## 1808 99.124 6.856 14.196
## 1809 79.993 5.393 11.409
## 1810 83.459 7.127 10.606
## 1811 88.014 6.162 12.133
## 1812 67.209 6.603 6.763
## 1813 96.969 7.629 13.484
## 1814 90.604 7.128 13.150
## 1815 79.867 6.312 10.772
## 1816 96.161 5.876 15.018
## 1817 64.809 4.994 8.618
## 1818 94.368 5.997 15.384
## 1819 89.108 6.352 12.463
## 1820 80.153 5.809 10.990
## 1821 91.933 6.408 11.940
## 1822 91.367 6.554 11.678
## 1823 98.348 6.343 15.661
## 1824 75.937 6.045 8.770
## 1825 82.409 6.618 9.712
## 1826 99.252 6.809 15.109
## 1827 74.993 5.737 10.213
## 1828 102.369 7.488 14.702
## 1829 105.333 6.431 17.098
## 1830 83.086 6.513 10.795
## 1831 98.707 6.996 14.044
## 1832 75.218 6.663 8.539
## 1833 96.793 7.167 14.264
## 1834 91.499 6.701 12.598
## 1835 91.958 6.071 13.419
## 1836 80.048 6.753 10.063
## 1837 68.958 5.699 7.017
## 1838 89.954 6.576 13.510
## 1839 65.151 6.477 5.810
## 1840 83.601 6.354 11.048
## 1841 96.251 6.410 14.824
## 1842 82.649 5.183 12.576
## 1843 110.930 6.116 17.845
## 1844 97.404 6.565 15.075
## 1845 87.242 6.612 10.038
## 1846 85.995 5.781 12.082
## 1847 92.158 7.386 11.858
## 1848 69.725 5.894 7.253
## 1849 87.149 7.179 9.179
## 1850 81.561 6.799 10.318
## 1851 62.183 6.048 5.891
## 1852 93.003 7.743 12.142
## 1853 81.645 5.664 11.253
## 1854 69.926 7.143 6.981
## 1855 95.855 7.200 13.213
## 1856 97.189 6.031 14.148
## 1857 95.596 7.475 12.681
## 1858 83.313 6.325 11.028
## 1859 94.020 6.702 13.774
## 1860 98.194 6.682 14.041
## 1861 89.160 6.406 12.922
## 1862 86.328 7.068 9.526
## 1863 98.024 7.055 12.830
## 1864 95.442 5.276 15.586
## 1865 86.293 7.413 10.210
## 1866 106.910 5.336 18.294
## 1867 88.559 7.223 10.423
## 1868 90.553 7.289 12.097
## 1869 76.315 5.736 9.983
## 1870 86.255 6.212 12.670
## 1871 67.091 5.726 6.773
## 1872 83.211 6.350 10.362
## 1873 72.728 6.284 8.724
## 1874 91.239 7.046 12.406
## 1875 100.080 7.417 14.983
## 1876 97.695 7.477 13.938
## 1877 62.621 6.106 4.885
## 1878 107.325 6.354 18.126
## 1879 84.982 5.322 12.886
## 1880 73.759 5.936 9.671
## 1881 93.503 7.175 12.471
## 1882 95.381 7.631 12.529
## 1883 75.447 5.636 9.999
## 1884 87.872 6.085 12.594
## 1885 82.129 6.482 10.178
## 1886 83.103 6.696 10.787
## 1887 75.026 5.933 9.941
## 1888 78.554 6.797 7.702
## 1889 86.746 6.168 12.438
## 1890 94.084 6.490 13.756
## 1891 97.666 6.882 13.545
## 1892 104.595 6.504 14.460
## 1893 87.401 6.195 12.973
## 1894 83.228 6.423 10.402
## 1895 95.163 6.438 14.519
## 1896 71.517 6.241 7.927
## 1897 76.289 6.319 9.298
## 1898 80.971 7.619 9.107
## 1899 101.334 6.893 15.240
## 1900 93.863 6.293 14.828
## 1901 97.741 6.988 13.462
## 1902 98.455 6.266 15.216
## 1903 83.839 7.321 9.362
## 1904 92.077 6.759 13.046
## 1905 85.717 6.425 11.624
## 1906 99.229 6.813 14.541
## 1907 79.151 5.400 11.654
## 1908 79.585 5.711 10.845
## 1909 87.977 5.664 13.623
## 1910 95.921 6.600 14.629
## 1911 82.362 7.713 9.995
## 1912 98.002 8.062 11.817
## 1913 77.720 6.947 8.825
## 1914 66.213 6.851 4.506
## 1915 86.605 5.239 12.601
## 1916 89.941 6.120 13.827
## 1917 85.910 5.949 12.786
## 1918 71.277 6.065 6.151
## 1919 87.803 6.382 10.947
## 1920 63.252 6.170 5.345
## 1921 96.498 5.114 16.109
## 1922 77.922 7.024 8.742
## 1923 98.728 5.749 15.766
## 1924 97.358 6.667 14.838
## 1925 81.242 7.952 9.298
## 1926 70.309 5.856 8.602
## 1927 83.424 4.729 13.051
## 1928 75.885 6.300 9.467
## 1929 92.827 7.271 12.307
## 1930 87.346 7.871 10.552
## 1931 63.645 5.639 6.657
## 1932 68.326 6.848 5.309
## 1933 89.561 6.174 12.680
## 1934 81.926 6.426 10.315
## 1936 91.514 5.448 14.088
## 1937 104.556 6.678 15.520
## 1938 85.898 6.827 11.182
## 1939 87.327 7.260 10.978
## 1940 90.918 6.569 13.500
## 1941 74.043 6.716 7.929
## 1942 91.350 6.226 12.669
## 1943 97.759 6.688 13.656
## 1944 96.302 6.260 14.041
## 1945 66.005 6.935 6.190
## 1946 81.347 6.241 9.716
## 1947 76.201 6.764 9.365
## 1948 91.126 6.480 12.300
## 1949 96.222 7.288 13.442
## 1950 105.288 6.464 16.490
## 1951 74.114 5.259 10.515
## 1952 89.792 7.383 10.507
## 1953 94.005 5.866 15.449
## 1954 87.647 6.042 12.890
## 1955 97.313 6.083 15.803
## 1956 91.990 7.462 12.866
## 1957 69.082 5.005 8.529
## 1959 81.325 7.239 7.345
## 1960 96.115 6.656 13.986
## 1961 102.953 6.462 15.566
## 1962 109.088 6.700 17.548
## 1963 99.901 6.865 14.529
## 1964 101.825 6.952 15.489
## 1965 84.406 6.889 10.260
## 1966 77.541 6.563 8.531
## 1967 95.190 6.362 14.550
## 1968 91.907 6.394 13.253
## 1969 88.545 6.364 12.322
## 1970 97.895 7.294 13.162
## 1971 91.243 6.915 12.970
## 1973 108.208 6.959 15.885
## 1974 97.130 6.636 13.633
## 1975 99.986 6.487 14.537
## 1976 92.346 6.228 13.542
## 1977 87.841 7.287 10.616
## 1978 101.533 7.163 14.270
## 1979 74.393 5.959 7.817
## 1980 96.340 6.785 15.162
## 1981 69.499 5.820 8.416
## 1982 89.446 5.534 12.857
## 1983 76.611 6.061 9.465
## 1984 95.430 7.104 13.660
## 1985 88.287 7.167 11.898
## 1986 71.958 6.859 7.216
## 1987 91.968 7.008 13.262
## 1988 88.467 6.861 10.266
## 1989 95.247 6.051 14.643
## 1990 89.538 6.802 12.004
## 1991 96.335 7.060 13.186
## 1992 82.797 7.028 9.127
## 1993 88.088 7.332 10.232
## 1994 88.126 6.996 10.624
## 1995 96.988 6.746 14.570
## 1996 108.753 7.249 17.032
## 1997 81.348 6.481 9.584
## 1998 95.384 5.883 15.231
## 1999 64.859 6.386 5.491
## 2000 74.035 5.979 8.417
## 2001 77.592 6.027 9.124
## 2002 69.602 6.399 7.942
## 2003 70.482 5.945 7.249
## 2004 90.988 6.284 13.239
## 2005 81.146 5.174 11.358
## 2006 94.610 6.649 13.138
## 2007 98.991 6.501 14.071
## 2008 91.221 5.928 12.797
## 2009 100.284 6.961 13.973
## 2010 93.796 7.156 11.791
## 2011 70.976 5.375 8.439
## 2012 96.815 5.966 15.173
## 2013 81.350 5.962 10.233
## 2014 76.829 5.842 9.193
## 2015 88.439 7.081 11.466
## 2016 78.855 6.364 9.262
## 2017 82.851 6.315 10.748
## 2018 83.201 5.097 13.032
## 2019 96.832 6.945 13.045
## 2020 74.730 5.633 9.307
## 2021 87.788 6.542 10.537
## 2022 96.836 6.694 15.223
## 2023 96.759 7.452 13.489
## 2024 105.662 5.584 18.225
## 2026 101.712 6.629 15.433
## 2027 80.360 7.760 7.836
## 2028 97.903 7.367 14.292
## 2029 85.802 6.647 11.841
## 2030 81.472 6.156 10.347
## 2031 89.675 7.065 12.504
## 2032 93.683 5.819 14.836
## 2033 96.161 6.833 13.502
## 2034 78.513 6.854 9.365
## 2035 103.090 7.242 14.227
## 2037 88.337 6.775 12.650
## 2038 81.253 6.144 11.090
## 2039 80.787 6.482 11.343
## 2040 88.580 5.262 14.299
## 2041 76.630 6.014 8.879
## 2042 106.339 6.214 17.836
## 2043 68.331 6.133 6.537
## 2044 79.087 6.607 10.207
## 2045 91.079 5.924 13.111
## 2046 96.881 7.285 13.753
## 2047 87.172 6.500 11.699
## 2048 87.362 6.493 11.828
## 2049 88.612 6.270 13.232
## 2050 83.758 6.609 11.307
## 2051 107.730 7.078 16.180
## 2052 94.977 5.893 14.518
## 2053 97.463 6.039 14.618
## 2054 77.749 6.287 9.102
## 2055 83.159 5.558 11.762
## 2056 78.495 5.927 11.099
## 2057 75.446 6.167 8.983
## 2058 94.859 7.112 13.080
## 2059 87.734 6.684 10.387
## 2060 97.244 6.636 13.966
## 2061 83.201 7.096 8.789
## 2062 107.103 6.404 17.157
## 2063 78.536 6.773 9.311
## 2064 90.414 6.428 12.658
## 2065 97.926 6.686 14.376
## 2066 78.184 6.092 10.288
## 2067 88.111 4.793 14.557
## 2068 74.390 6.406 8.312
## 2069 111.760 7.496 16.356
## 2070 86.883 7.148 12.042
## 2071 87.834 7.176 10.211
## 2072 87.151 7.365 11.102
## 2073 93.973 6.562 14.427
## 2074 85.322 6.638 10.247
## 2075 79.867 6.068 9.752
## 2076 87.572 6.279 11.335
## 2077 79.672 6.931 8.469
## 2078 115.892 7.343 17.462
## 2079 83.014 6.402 10.301
## 2080 95.075 6.185 14.495
## 2081 91.156 6.500 12.628
## 2082 82.618 6.921 9.046
## 2083 81.571 5.489 11.982
## 2084 87.283 4.893 14.352
## 2085 83.694 6.115 11.435
## 2086 91.996 5.646 15.579
## 2087 97.522 6.144 15.065
## 2088 93.203 6.397 14.757
## 2089 81.967 6.183 10.621
## 2090 83.646 7.517 8.760
## 2091 81.806 6.729 10.159
## 2092 94.960 6.710 12.589
## 2093 92.808 6.936 13.637
## 2094 64.193 5.703 5.485
## 2095 93.092 7.227 11.976
## 2096 85.830 6.447 12.474
## 2097 93.502 6.969 11.167
## 2098 98.017 5.750 15.874
## 2099 85.478 5.412 13.265
## 2100 101.610 7.073 15.931
## 2101 86.713 6.763 11.352
## 2102 94.732 5.869 14.812
## 2103 102.672 5.891 16.905
## 2104 105.099 7.288 15.935
## 2105 74.129 5.667 8.724
## 2106 90.203 7.650 11.239
## 2107 77.293 5.870 10.965
## 2108 95.154 6.947 13.468
## 2109 89.094 6.270 14.059
## 2110 82.197 6.922 9.483
## 2111 84.930 6.119 12.204
## 2112 66.803 6.386 5.940
## 2113 106.369 6.529 16.326
## 2114 77.365 5.798 10.463
## 2115 93.611 7.019 12.168
## 2116 82.271 6.141 11.071
## 2117 103.322 6.340 15.438
## 2119 77.567 4.706 11.950
## 2120 87.959 6.366 11.683
## 2121 90.584 8.189 10.639
## 2122 107.110 7.049 17.179
## 2123 77.767 6.487 9.338
## 2124 95.322 6.316 14.315
## 2125 94.969 6.516 13.069
## 2126 99.029 6.883 15.785
## 2127 77.278 5.673 9.998
## 2128 85.623 7.280 9.801
## 2129 102.538 7.001 15.288
## 2130 97.961 7.003 13.276
## 2131 73.288 6.807 7.365
## 2132 82.197 6.514 10.382
## 2133 95.821 6.971 13.159
## 2134 99.204 6.914 14.513
## 2135 79.020 6.252 9.962
## 2137 92.601 6.571 13.570
## 2138 79.247 7.584 8.339
## 2139 61.693 5.633 5.948
## 2141 90.214 6.615 14.442
## 2142 90.592 6.536 12.386
## 2143 86.488 6.621 11.323
## 2144 99.907 6.671 16.167
## 2145 94.823 6.344 13.912
## 2146 111.224 7.543 16.849
## 2147 69.494 5.379 7.822
## 2148 79.219 5.920 11.896
## 2149 73.884 6.428 7.150
## 2150 78.647 5.350 11.312
## 2151 86.509 6.377 11.254
## 2152 101.992 7.663 13.880
## 2153 86.820 6.515 12.137
## 2154 96.974 6.661 13.870
## 2155 90.504 5.618 14.110
## 2156 104.199 6.069 18.465
## 2157 86.198 6.237 11.054
## 2158 75.547 6.278 9.177
## 2159 93.210 7.397 12.738
## 2160 80.763 6.890 9.593
## 2161 100.625 5.722 16.446
## 2162 85.928 6.673 11.150
## 2163 85.141 6.849 10.303
## 2164 84.135 7.298 10.586
## 2165 99.421 7.606 14.155
## 2166 82.878 5.789 11.527
## 2167 82.913 5.932 10.075
## 2168 101.210 5.620 16.996
## 2169 80.811 6.336 9.431
## 2170 90.225 6.826 12.107
## 2171 97.303 7.191 13.957
## 2172 70.273 6.447 7.106
## 2173 91.798 6.276 13.441
## 2174 78.959 6.606 8.835
## 2175 97.057 5.915 14.468
## 2176 85.904 7.963 9.112
## 2177 92.684 5.375 14.078
## 2178 98.309 6.629 15.317
## 2179 103.132 7.917 14.584
## 2180 89.268 6.505 12.754
## 2181 85.825 6.367 11.306
## 2182 80.157 6.250 10.271
## 2183 104.645 6.374 16.413
## 2184 83.420 7.461 9.902
## 2185 69.974 4.952 8.889
## 2186 101.850 7.573 13.996
## 2187 70.512 5.503 9.612
## 2188 81.996 6.313 9.150
## 2189 70.977 6.200 7.669
## 2190 80.652 6.912 10.551
## 2191 82.310 5.381 11.752
## 2192 92.379 6.824 12.729
## 2193 104.810 7.917 14.854
## 2194 91.333 5.546 13.581
## 2195 88.478 6.633 11.427
## 2196 84.550 6.037 11.405
## 2197 95.978 6.798 13.530
## 2198 101.397 6.513 15.818
## 2199 91.277 6.051 12.379
## 2200 81.659 6.842 10.593
## 2201 84.145 7.763 9.021
## 2202 72.527 6.366 7.664
## 2203 99.403 7.004 13.999
## 2204 88.067 5.595 13.734
## 2205 87.213 5.830 13.732
## 2206 88.781 6.831 11.614
## 2207 108.578 7.539 16.221
## 2208 87.589 6.749 10.548
## 2209 94.384 6.281 14.866
## 2210 90.331 6.500 11.884
## 2211 82.819 5.625 10.175
## 2212 95.622 6.923 13.778
## 2213 92.626 7.118 13.229
## 2214 89.534 6.184 13.071
## 2215 87.505 6.171 12.244
## 2216 89.936 6.686 11.886
## 2217 110.509 6.194 19.165
## 2218 103.834 6.454 15.553
## 2219 100.393 7.970 14.168
## 2220 84.718 6.327 12.335
## 2221 100.006 6.249 15.021
## 2222 86.459 6.047 13.554
## 2223 90.527 7.021 12.079
## 2224 91.263 6.373 11.089
## 2225 85.142 6.045 11.757
## 2227 95.055 7.494 12.632
## 2228 80.942 6.080 10.535
## 2229 99.005 5.193 16.778
## 2230 93.245 7.205 12.058
## 2231 71.129 6.021 8.433
## 2232 94.045 7.053 11.850
## 2233 71.135 5.121 8.862
## 2234 97.769 7.125 13.420
## 2235 85.803 5.652 12.873
## 2236 103.543 7.012 14.874
## 2237 79.378 6.510 9.627
## 2238 85.962 5.832 12.102
## 2239 70.447 6.215 7.905
## 2240 95.678 6.980 14.104
## 2241 95.518 6.574 13.557
## 2242 94.394 6.909 13.487
## 2243 92.979 7.884 12.005
## 2244 85.884 5.405 13.244
## 2245 112.017 7.632 16.813
## 2246 84.173 6.573 11.145
## 2247 86.377 5.871 12.416
## 2248 72.359 5.569 8.742
## 2249 74.230 6.368 9.395
## 2250 89.087 7.145 12.293
## 2251 100.103 6.411 15.312
## 2252 88.965 7.558 11.231
## 2253 83.172 5.484 11.292
## 2254 86.014 6.492 10.779
## 2255 79.959 5.623 10.396
## 2256 96.523 6.755 12.885
## 2257 75.276 7.121 7.508
## 2258 101.664 6.205 15.843
## 2260 101.844 6.639 14.166
## 2261 80.696 6.806 8.190
## 2262 96.607 6.783 14.007
## 2263 100.258 7.365 14.016
## 2264 91.626 5.750 13.153
## 2265 79.720 6.976 9.017
## 2266 93.383 7.335 12.749
## 2267 71.725 5.255 8.451
## 2268 86.793 6.724 11.242
## 2269 97.717 6.147 15.088
## 2270 94.456 6.443 14.390
## 2271 85.749 6.743 12.046
## 2272 76.847 6.159 9.076
## 2273 94.699 6.027 13.937
## 2274 88.021 6.524 12.058
## 2275 63.344 5.739 5.039
## 2276 91.221 5.740 14.348
## 2277 87.908 6.976 11.927
## 2278 96.818 5.696 15.607
## 2279 78.757 6.966 8.714
## 2281 83.627 5.292 12.837
## 2282 91.995 6.026 12.875
## 2283 78.787 7.336 6.928
## 2284 74.543 5.813 9.065
## 2286 84.219 6.823 11.083
## 2287 100.873 7.048 14.193
## 2288 82.827 6.324 10.048
## 2289 66.144 6.082 5.729
## 2290 91.157 7.496 11.489
## 2291 84.755 7.717 11.203
## 2292 85.878 7.185 10.800
## 2293 85.906 6.560 11.656
## 2294 86.107 5.934 12.793
## 2295 84.102 5.919 11.550
## 2296 75.762 6.866 8.208
## 2297 92.897 6.793 13.459
## 2298 70.112 7.481 6.152
## 2299 67.283 6.955 5.849
## 2300 93.378 5.448 14.218
## 2301 95.604 7.236 13.521
## 2302 83.111 5.801 11.828
## 2303 71.253 6.231 7.814
## 2304 82.353 6.675 9.876
## 2305 93.150 7.897 11.212
## 2307 84.726 6.925 9.783
## 2308 97.594 6.372 13.957
## 2309 102.672 6.874 16.282
## 2310 84.639 7.121 10.742
## 2311 94.075 6.276 14.269
## 2312 72.471 7.757 6.258
## 2313 96.390 6.661 13.978
## 2314 77.149 6.848 9.588
## 2315 91.205 6.966 12.922
## 2316 90.401 6.795 11.257
## 2317 102.841 7.087 15.961
## 2318 79.680 6.068 9.377
## 2319 93.696 6.109 13.883
## 2320 77.588 5.730 11.161
## 2321 89.412 6.808 11.525
## 2322 88.628 7.045 11.448
## 2323 79.857 6.820 9.463
## 2324 94.217 7.672 11.958
## 2325 88.568 6.496 11.812
## 2326 94.537 6.968 12.724
## 2327 88.011 5.736 12.254
## 2328 96.176 6.229 14.394
## 2329 97.207 6.987 14.771
## 2330 78.979 7.094 8.848
## 2331 102.809 6.294 14.606
## 2332 77.097 6.450 8.441
## 2333 94.485 5.437 13.764
## 2334 96.578 6.250 13.859
## 2335 71.655 7.123 6.266
## 2336 91.772 6.903 12.279
## 2337 84.883 6.850 10.595
## 2338 76.577 6.535 9.724
## 2339 102.447 6.505 16.053
## 2340 81.781 6.038 10.039
## 2341 80.762 6.989 9.581
## 2342 91.316 6.795 12.227
## 2343 98.925 6.844 14.057
## 2344 82.944 6.132 11.575
## 2345 92.219 4.993 15.499
## 2346 95.222 7.268 13.593
## 2347 61.911 6.165 5.465
## 2348 76.909 5.896 10.412
## 2349 82.650 6.985 10.314
## 2350 95.039 6.226 13.438
## 2351 62.187 7.242 4.126
## 2352 117.316 6.932 19.647
## 2353 94.966 6.978 13.593
## 2354 87.767 5.544 12.447
## 2355 107.563 7.348 15.545
## 2356 115.587 6.683 19.031
## 2357 96.776 6.242 14.612
## 2358 98.136 6.600 14.846
## 2359 80.982 5.257 12.392
## 2360 92.363 6.786 11.575
## 2361 78.074 5.779 10.573
## 2362 76.441 5.553 9.522
## 2363 78.202 5.434 9.939
## 2364 76.536 7.279 7.948
## 2365 87.573 6.060 11.772
## 2366 77.346 7.574 6.946
## 2367 92.206 6.125 12.573
## 2368 81.049 5.305 11.891
## 2369 83.162 5.718 12.441
## 2370 85.758 7.365 10.434
## 2372 100.767 6.116 16.080
## 2373 74.804 6.612 8.266
## 2374 88.131 6.851 12.699
## 2375 86.605 7.282 10.176
## 2376 86.754 7.514 8.957
## 2377 73.942 6.248 7.980
## 2378 89.623 5.572 13.297
## 2379 80.916 6.211 9.956
## 2380 100.110 6.682 14.903
## 2381 97.446 5.825 14.981
## 2382 100.280 5.830 16.122
## 2383 79.717 6.741 9.443
## 2384 91.277 6.466 13.426
## 2385 94.403 6.523 13.897
## 2386 81.364 5.969 10.577
## 2387 78.627 6.339 9.685
## 2388 102.686 5.853 16.829
## 2389 94.546 7.123 12.682
## 2390 100.189 7.225 13.908
## 2391 76.187 5.208 9.534
## 2392 72.446 5.849 8.342
## 2393 74.315 5.452 10.292
## 2394 83.954 6.045 11.628
## 2395 76.842 6.442 8.807
## 2396 79.187 5.485 11.970
## 2397 70.428 5.855 6.934
## 2398 73.379 5.797 8.640
## 2399 96.780 6.645 14.013
## 2400 97.777 6.549 13.811
## 2401 80.274 5.995 10.824
## 2402 79.370 6.624 8.947
## 2403 75.334 6.117 8.918
## 2404 82.963 6.310 10.880
## 2405 98.891 7.671 13.934
## 2406 106.115 7.438 14.785
## 2407 77.794 5.590 10.510
## 2408 80.415 7.081 8.540
## 2409 89.614 7.068 12.804
## 2410 78.291 5.696 9.529
## 2411 87.824 7.073 10.445
## 2412 107.497 7.577 15.976
## 2413 92.614 5.714 14.481
## 2414 87.656 5.858 12.474
## 2415 83.300 7.212 8.184
## 2416 87.453 6.690 12.634
## 2417 102.931 6.886 15.188
## 2418 83.395 6.738 10.873
## 2419 103.656 6.773 16.053
## 2420 96.772 5.571 15.878
## 2421 108.246 7.233 16.991
## 2422 95.312 7.319 12.916
## 2423 91.102 6.339 13.762
## 2424 105.167 6.470 16.243
## 2425 83.806 5.428 13.342
## 2426 85.852 6.860 10.496
## 2427 84.694 6.900 10.654
## 2428 87.920 6.456 12.716
## 2429 78.872 7.287 8.128
## 2430 82.148 6.266 11.570
## 2431 101.698 6.895 15.290
## 2432 58.635 5.786 5.426
## 2433 105.248 6.484 16.603
## 2434 97.366 6.378 15.367
## 2435 83.137 6.658 10.621
## 2436 93.311 6.241 13.630
## 2437 86.092 6.408 12.009
## 2438 103.763 7.078 15.690
## 2439 93.720 6.194 14.948
## 2440 69.489 5.375 7.800
## 2441 104.128 7.725 13.762
## 2442 96.825 7.467 11.383
## 2443 84.928 5.595 12.248
## 2444 84.606 6.983 9.815
## 2445 100.948 6.148 17.244
## 2446 103.312 6.684 15.120
## 2447 83.129 6.706 9.781
## 2448 72.334 6.336 7.996
## 2449 84.239 5.951 10.843
## 2450 89.882 6.017 13.304
## 2451 86.636 5.859 12.721
## 2452 99.609 5.918 15.759
## 2453 93.929 6.453 14.370
## 2454 98.223 5.999 14.909
## 2455 91.600 6.977 12.981
## 2456 76.299 7.541 7.832
## 2457 82.195 6.094 11.413
## 2458 101.806 6.668 15.180
## 2459 87.981 6.850 11.845
## 2460 92.103 6.830 13.509
## 2461 83.776 6.553 11.044
## 2462 79.812 7.020 8.911
## 2463 85.927 6.838 11.630
## 2464 84.753 5.634 12.927
## 2465 88.880 7.108 10.033
## 2466 86.813 7.121 11.293
## 2467 75.060 5.966 9.182
## 2468 99.272 6.527 15.358
## 2469 86.477 6.978 11.117
## 2470 104.118 6.353 16.358
## 2471 109.943 7.251 16.586
## 2472 94.619 8.155 11.757
## 2473 72.250 5.950 8.975
## 2474 64.462 5.533 5.742
## 2475 73.555 6.713 7.584
## 2476 80.006 7.005 7.878
## 2477 96.958 6.338 16.135
## 2478 94.729 7.517 12.347
## 2479 92.014 5.563 13.169
## 2480 66.437 6.985 5.339
## 2481 73.090 6.076 8.406
## 2482 103.942 7.704 14.661
## 2483 96.677 7.895 12.860
## 2484 83.392 5.963 11.558
## 2485 91.541 6.115 13.695
## 2486 106.884 7.102 16.907
## 2487 87.282 6.229 11.337
## 2488 89.790 6.468 12.208
## 2489 90.859 6.518 12.578
## 2490 108.646 5.156 19.176
## 2491 65.529 6.490 5.702
## 2492 91.353 6.017 14.050
## 2493 84.012 6.155 11.656
## 2494 99.006 7.511 13.700
## 2495 74.745 5.620 10.028
## 2496 89.318 7.069 11.853
## 2497 93.597 6.305 14.134
## 2499 93.238 7.053 14.424
## 2500 80.043 6.738 9.4563 DIAGRAMA DE DISPERSION
# Extraer variables
x1 <- Geoquimica$x1 # pH del suelo
x2 <- Geoquimica$x2 # Concentración de hierro
y <- Geoquimica$y # Concentración de cobre
Geoq_reg <- scatterplot3d(
x1, x2, y,
angle = 60,
pch = 16,
color = "darkred",
main ="Gráfica N°1: Diagrama de dispersión de la concentración
de cobre, pH del suelo y concentración de hierro",
xlab ="pH del suelo",
ylab ="Concentración de hierro (%)",
zlab ="Concentración de cobre (ppm)"
)
4 CONJETURA DEL MODELO
##
## Call:
## lm(formula = y ~ x1 + x2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -6.9344 -1.5159 -0.0371 1.5450 7.9137
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 15.50520 0.48633 31.88 <2e-16 ***
## x1 4.77025 0.06829 69.85 <2e-16 ***
## x2 3.46821 0.01562 221.98 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 2.246 on 2450 degrees of freedom
## Multiple R-squared: 0.9566, Adjusted R-squared: 0.9565
## F-statistic: 2.699e+04 on 2 and 2450 DF, p-value: < 2.2e-16# Extraer variables de la tabla
x1 <- Geoquimica$x1 # pH del suelo
x2 <- Geoquimica$x2 # Concentración de hierro
y <- Geoquimica$y # Concentración de cobre
# Diagrama de dispersión 3D
Geoqreg <- scatterplot3d(
x1, x2, y,
angle = 60,
pch = 16,
color = "blue",
main = "Gráfica N°2: Comparación de la realidad
con el modelo multivariable lineal de la
concentración de cobre, pH del suelo
y concentración de hierro",
xlab = "pH del suelo",
ylab = "Concentración de hierro (%)",
zlab = "Concentración de cobre (ppm)"
)
# Plano de regresión
Geoq_reg$plane3d(regresion_multiple)
5 TEST DE APROBACION
TEST DE PEARSON
## [1] 97.49076COEFICIENTE DE DETERMINACION
## [1] 95.044486 CALCULO DE ESTIMACIONES
¿Qué concentración de cobre se espera con un pH del suelo de 6.5 y una concentración de hierro de 12%?
Cu_Est <- regresion_multiple$coefficients[1] +
regresion_multiple$coefficients[2] * 6.5 +
regresion_multiple$coefficients[3] * 12
Cu_Est## (Intercept)
## 88.1304plot(1,
type = "n",
axes = FALSE,
xlab = "",
ylab = "")
text(
x = 1,
y = 1,
labels = paste(
"¿Qué concentración de cobre se espera\n",
"con un pH del suelo de 6.5\n",
"y una concentración de hierro de 12%?\n",
"R =", round(Cu_Est, 2)
),
cex = 1.8,
col = "darkred",
font = 6
)
7 CONCLUSION
Entre la concentración de cobre y la combinación del pH del suelo y la concentración de hierro existe una regresión múltiple lineal.
La concentración de cobre está influenciada aproximadamente en un 95% por la combinación del pH del suelo y la concentración de hierro, mientras que el porcentaje restante se debe a otros factores geoquímicos no considerados dentro del modelo, donde sí existen ciertas restricciones.
Los resultados obtenidos muestran una relación positiva considerable entre las variables estudiadas, indicando que las variaciones del pH y del contenido de hierro tienen influencia directa sobre la concentración de cobre presente en las muestras analizadas.
Por ejemplo, cuando el suelo presenta un pH de 6.5 y una concentración de hierro del 12%, se espera una concentración aproximada de cobre de acuerdo con el modelo lineal multivariable estimado.