Modelo Lineal Multivariable – Severidad de Lesiones MSHA
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
2 TABLA DE VALORES
# Selección de variables MSHA
severity <- as.numeric(datos$INJURY_SEVERITY_SCORE)
exper <- as.numeric(datos$TOT_EXPER)
hazard <- as.numeric(datos$HAZARD_EXPOSURE_INDEX)
MSHA <- data.frame(
y = severity,
x1 = exper,
x2 = hazard
)
# Quitar NA
MSHA <- na.omit(MSHA)
# Solo valores positivos
MSHA <- MSHA[MSHA$y > 0 & MSHA$x1 > 0 & MSHA$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
MSHA <- MSHA[
filtro_iqr(MSHA$y) &
filtro_iqr(MSHA$x1) &
filtro_iqr(MSHA$x2), ]
MSHA## y x1 x2
## 1 32.684 9.580 3.012
## 2 45.355 14.071 3.998
## 3 27.253 6.861 2.834
## 4 52.304 18.796 3.722
## 5 78.463 30.058 5.680
## 6 83.371 32.810 5.780
## 7 63.640 26.810 2.608
## 8 68.808 28.055 3.718
## 9 52.334 13.076 6.374
## 10 71.302 24.321 6.611
## 11 31.867 7.801 3.836
## 12 43.850 7.391 6.860
## 13 51.978 22.688 2.117
## 14 66.111 15.300 9.688
## 15 93.718 34.666 7.745
## 16 79.161 23.794 8.799
## 17 81.281 25.453 9.132
## 18 67.784 21.568 6.974
## 19 45.606 13.066 5.295
## 20 56.789 16.198 7.459
## 21 52.591 11.688 7.488
## 22 45.452 10.593 5.750
## 23 44.176 16.719 2.142
## 24 42.613 10.795 5.935
## 25 71.950 23.327 7.050
## 26 85.041 31.484 6.228
## 27 70.325 23.670 6.402
## 28 48.111 12.594 5.842
## 29 48.337 10.398 6.979
## 30 78.764 29.492 6.393
## 31 32.924 11.761 2.324
## 32 74.750 20.506 9.783
## 33 72.036 20.555 8.494
## 34 54.804 23.011 2.459
## 35 73.793 20.979 8.674
## 36 26.526 5.399 3.736
## 37 50.939 20.723 2.998
## 38 84.731 31.877 5.742
## 39 78.361 28.097 6.362
## 40 52.594 8.686 9.207
## 41 43.653 13.876 3.672
## 42 62.401 23.361 4.772
## 43 72.857 26.784 5.052
## 44 70.842 18.905 9.770
## 45 88.875 28.073 9.568
## 46 47.259 10.749 6.619
## 47 76.299 21.736 9.587
## 48 61.604 21.523 5.222
## 49 64.726 19.167 7.173
## 50 69.056 28.757 3.213
## 51 33.398 8.457 3.633
## 52 77.422 25.439 7.466
## 53 66.908 15.870 9.062
## 54 45.031 15.326 3.841
## 55 68.637 18.486 8.526
## 56 43.141 5.808 7.854
## 57 47.833 17.457 3.485
## 58 91.946 32.667 7.771
## 59 39.631 7.736 5.835
## 60 54.916 14.454 7.290
## 61 66.677 20.841 7.190
## 62 66.479 14.842 9.530
## 63 49.608 18.467 3.121
## 64 48.127 5.490 9.342
## 65 31.863 7.911 3.610
## 66 71.528 25.778 5.771
## 67 90.570 30.078 9.101
## 68 56.847 17.730 6.334
## 69 91.103 30.463 8.596
## 70 67.278 21.404 6.468
## 71 43.268 15.623 2.922
## 72 60.567 26.817 2.187
## 73 32.385 7.816 4.159
## 74 84.135 31.786 6.180
## 75 66.170 15.088 9.997
## 76 80.348 31.755 4.391
## 77 43.162 13.905 3.645
## 78 53.661 14.049 6.659
## 79 83.893 29.187 6.942
## 80 86.159 30.128 7.625
## 81 75.136 24.028 8.175
## 82 46.176 14.340 3.953
## 83 45.150 5.883 8.101
## 84 70.885 16.993 9.593
## 85 70.740 20.545 8.224
## 86 38.062 5.222 7.152
## 87 66.323 28.248 2.938
## 88 70.576 30.634 3.151
## 89 47.677 8.946 7.610
## 90 61.821 13.630 9.488
## 91 52.706 14.798 6.131
## 92 73.323 32.197 3.172
## 93 87.749 34.987 5.372
## 94 86.624 28.127 9.346
## 95 35.039 6.285 5.927
## 96 75.945 33.958 2.804
## 97 90.986 34.256 7.466
## 98 38.365 11.076 3.453
## 99 81.662 25.396 9.215
## 100 50.994 18.960 3.366
## 101 74.619 32.601 3.486
## 102 79.450 26.846 7.417
## 103 46.886 12.376 6.058
## 104 24.002 5.586 2.803
## 105 62.270 26.180 3.194
## 106 84.942 28.234 7.748
## 107 50.589 19.189 3.535
## 108 72.470 29.044 4.992
## 109 51.870 10.262 8.665
## 110 79.133 26.605 7.731
## 111 55.806 16.036 6.088
## 112 64.723 20.963 5.901
## 113 57.083 13.916 7.622
## 114 56.119 16.229 6.403
## 115 88.411 26.843 9.896
## 116 65.296 16.955 8.522
## 117 33.834 8.175 4.253
## 118 56.929 16.957 6.709
## 119 68.239 20.659 7.134
## 120 53.052 8.180 9.922
## 121 94.707 30.605 9.975
## 122 51.308 20.552 3.491
## 123 63.527 23.332 4.763
## 124 75.196 29.875 5.264
## 125 32.851 5.507 5.471
## 126 88.169 28.109 8.967
## 127 65.553 29.254 2.254
## 128 67.336 29.092 2.867
## 129 51.987 8.443 9.082
## 130 82.805 31.643 5.800
## 131 52.218 8.200 9.499
## 132 48.006 12.194 5.874
## 133 81.859 29.228 6.775
## 134 45.190 8.060 7.993
## 135 40.482 7.349 7.244
## 136 56.047 15.363 7.079
## 137 90.341 30.080 8.430
## 138 49.120 6.966 9.059
## 139 57.390 24.082 2.567
## 140 70.421 25.108 5.750
## 141 72.382 28.837 4.862
## 142 47.248 13.984 4.604
## 143 78.783 27.744 6.524
## 144 70.020 30.066 2.989
## 145 64.069 16.216 8.102
## 146 53.323 17.478 5.038
## 147 82.610 27.032 8.056
## 148 59.372 26.196 2.374
## 149 69.391 27.071 4.775
## 150 66.217 22.189 5.789
## 151 95.906 33.358 8.553
## 152 38.924 13.575 2.355
## 153 79.922 24.588 8.569
## 154 73.261 29.331 4.624
## 155 57.437 17.163 5.883
## 156 56.657 20.409 4.185
## 157 39.255 9.204 5.114
## 158 32.530 9.717 3.031
## 159 40.077 6.062 6.611
## 160 59.502 19.754 5.502
## 161 62.450 25.517 3.662
## 162 35.737 10.286 2.626
## 163 72.977 28.595 5.165
## 164 41.797 8.955 5.259
## 165 61.578 23.026 3.962
## 166 61.583 20.549 5.352
## 167 50.812 5.124 9.932
## 168 49.764 7.637 8.782
## 169 57.156 20.680 4.880
## 170 36.988 5.138 6.182
## 171 23.385 5.685 2.318
## 172 91.421 32.918 8.124
## 173 41.387 6.986 7.318
## 174 38.637 8.726 5.011
## 175 76.501 29.853 5.140
## 176 49.165 16.044 3.987
## 177 28.774 6.430 3.277
## 178 64.289 23.074 5.377
## 179 54.331 16.132 5.995
## 180 80.686 25.595 8.342
## 181 56.753 12.592 8.242
## 182 67.006 20.554 7.132
## 183 64.570 22.379 6.045
## 184 67.704 25.849 4.319
## 185 58.914 22.040 4.453
## 186 72.995 22.282 8.194
## 187 85.319 34.159 5.106
## 188 35.986 7.885 4.656
## 189 49.671 9.517 7.942
## 190 53.733 11.567 7.669
## 191 52.802 10.530 8.431
## 192 56.071 10.229 9.552
## 193 83.513 32.522 6.766
## 194 32.022 7.632 3.663
## 195 86.514 28.991 8.565
## 196 83.066 29.944 6.856
## 197 43.189 13.398 3.302
## 198 56.724 18.377 6.100
## 199 80.826 28.049 7.697
## 200 37.876 9.887 3.762
## 201 85.380 28.176 8.683
## 202 56.536 21.043 3.550
## 203 52.766 9.708 8.768
## 204 47.183 19.196 2.017
## 205 63.664 26.120 3.460
## 206 44.282 15.547 2.967
## 207 25.428 7.202 3.044
## 208 65.984 19.630 6.934
## 209 41.618 11.116 5.009
## 210 83.587 28.523 7.380
## 211 52.349 9.647 7.401
## 212 52.900 13.745 6.404
## 213 51.849 17.072 4.413
## 214 30.242 7.183 3.323
## 215 45.476 16.387 3.288
## 216 56.314 20.477 3.694
## 217 64.027 26.489 3.098
## 218 59.915 24.430 3.083
## 219 74.406 29.687 4.644
## 220 84.568 28.130 8.437
## 221 58.744 11.870 9.192
## 222 65.883 24.804 4.822
## 223 54.740 16.198 6.621
## 224 67.489 21.555 6.317
## 225 42.037 7.413 6.775
## 226 51.883 11.330 7.570
## 227 57.724 24.565 2.245
## 228 25.987 5.640 2.760
## 229 49.779 10.275 7.568
## 230 30.739 10.895 2.399
## 231 72.392 30.239 3.444
## 232 55.297 17.546 5.418
## 233 52.590 14.404 6.483
## 234 83.512 25.611 9.836
## 235 77.421 31.855 4.303
## 236 51.831 16.093 4.625
## 237 69.679 20.048 8.182
## 238 51.365 8.145 8.099
## 239 71.184 26.593 4.533
## 240 75.632 24.034 8.022
## 241 77.924 29.235 5.654
## 242 66.140 21.440 7.265
## 243 22.704 5.658 2.391
## 244 59.194 20.568 5.204
## 245 52.736 7.969 9.950
## 246 66.250 18.053 8.189
## 247 79.447 30.542 5.612
## 248 71.198 18.235 9.612
## 249 73.875 31.879 3.656
## 250 44.249 8.622 6.909
## 251 39.748 14.991 2.164
## 252 83.112 25.031 9.563
## 253 46.404 16.176 3.687
## 254 91.382 32.033 7.981
## 255 54.871 19.051 4.834
## 256 48.906 8.233 8.361
## 257 58.635 14.374 8.314
## 258 67.589 18.583 8.695
## 259 43.459 12.414 4.471
## 260 31.259 7.082 4.113
## 261 53.687 11.987 7.759
## 262 37.726 7.826 5.254
## 263 24.783 6.308 2.067
## 264 66.647 25.818 4.701
## 265 38.484 13.644 2.220
## 266 37.173 5.473 6.829
## 267 42.321 7.498 6.936
## 268 40.721 12.324 3.731
## 269 49.625 8.291 8.125
## 270 83.281 26.798 8.804
## 271 61.484 17.846 7.151
## 272 32.823 7.130 4.460
## 273 42.204 7.025 6.674
## 274 24.150 5.756 2.608
## 275 57.641 17.848 5.548
## 276 81.276 32.902 4.717
## 277 55.261 11.003 9.067
## 278 59.431 16.902 6.790
## 279 43.759 15.188 3.962
## 280 77.076 34.472 2.772
## 281 48.377 12.966 5.720
## 282 46.745 15.869 3.553
## 283 61.029 26.263 2.464
## 284 45.912 5.347 8.659
## 285 32.536 10.014 2.996
## 286 68.035 27.763 3.041
## 287 51.419 17.453 4.885
## 288 77.652 28.171 5.874
## 289 71.652 23.335 7.498
## 290 49.048 10.374 6.814
## 291 54.987 17.191 5.116
## 292 42.341 12.638 4.288
## 293 68.094 20.072 7.711
## 294 73.505 26.944 5.566
## 295 57.804 20.327 4.718
## 296 86.211 26.524 9.399
## 297 74.380 27.834 5.377
## 298 23.924 5.187 2.495
## 299 85.287 26.091 9.065
## 300 34.098 9.096 3.781
## 301 75.814 33.699 2.988
## 302 43.441 11.159 4.925
## 303 68.692 23.419 6.870
## 304 27.646 5.286 3.132
## 305 43.889 7.054 7.518
## 306 83.873 34.337 4.689
## 307 100.305 34.210 9.547
## 308 35.245 14.892 2.025
## 309 91.770 31.112 8.797
## 310 52.829 10.233 7.975
## 311 63.539 16.714 8.192
## 312 70.823 21.353 8.564
## 313 64.602 19.957 7.255
## 314 58.370 17.431 6.554
## 315 48.549 7.434 8.488
## 316 52.646 20.271 3.139
## 317 67.940 24.868 4.832
## 318 90.431 27.525 9.989
## 319 55.203 21.408 3.189
## 320 68.760 27.642 3.968
## 321 30.247 7.693 3.121
## 322 85.601 29.186 8.286
## 323 52.165 17.002 4.368
## 324 47.788 9.961 6.833
## 325 73.238 25.957 6.078
## 326 75.449 20.844 8.824
## 327 52.553 18.209 3.916
## 328 63.399 15.108 8.166
## 329 33.423 9.473 3.209
## 330 64.903 25.256 3.996
## 331 63.308 26.284 3.051
## 332 89.768 31.893 7.661
## 333 36.258 11.836 2.790
## 334 50.547 10.168 8.138
## 335 68.743 29.349 3.259
## 336 43.150 16.822 2.063
## 337 70.960 26.903 5.394
## 338 26.478 6.402 2.490
## 339 74.564 28.301 5.539
## 340 85.542 31.203 6.758
## 341 64.635 27.508 2.783
## 342 75.098 28.093 5.172
## 343 82.708 29.248 7.619
## 344 78.530 27.733 6.871
## 345 77.175 28.438 6.695
## 346 67.013 16.491 8.877
## 347 52.208 20.924 2.657
## 348 43.320 8.702 6.681
## 349 51.729 13.242 6.668
## 350 65.053 21.518 5.715
## 351 37.383 12.168 3.010
## 352 59.936 20.025 5.230
## 353 36.383 10.779 3.414
## 354 80.797 23.128 9.843
## 355 57.557 15.788 7.049
## 356 67.421 16.066 9.048
## 357 57.134 23.875 2.334
## 358 67.438 28.598 3.463
## 359 71.509 19.577 9.040
## 360 60.168 25.758 2.310
## 361 73.539 31.266 3.940
## 362 69.078 29.563 3.477
## 363 66.750 17.085 8.651
## 364 72.871 22.170 8.284
## 365 73.972 29.197 4.873
## 366 53.487 22.214 2.169
## 367 58.443 20.040 5.334
## 368 54.777 9.298 9.857
## 369 61.704 17.207 7.274
## 370 65.607 20.349 6.741
## 371 31.488 10.678 2.012
## 372 48.986 15.222 4.881
## 373 42.652 8.685 6.428
## 374 59.921 25.925 2.661
## 375 85.162 34.059 5.804
## 376 76.207 23.816 7.637
## 377 47.713 14.384 4.956
## 378 69.207 20.957 7.878
## 379 83.618 31.726 6.350
## 380 78.115 22.812 8.696
## 381 77.633 31.404 4.856
## 382 61.119 23.391 3.698
## 383 81.180 32.970 5.260
## 384 53.506 10.489 7.751
## 385 39.622 5.832 6.460
## 386 58.261 14.968 7.984
## 387 45.586 5.323 9.156
## 388 69.237 18.359 8.832
## 389 77.728 32.945 4.488
## 390 38.679 11.056 3.548
## 391 71.311 21.264 7.652
## 392 86.969 32.883 6.245
## 393 85.308 30.265 7.294
## 394 41.916 7.362 6.560
## 395 69.576 27.669 4.000
## 396 68.640 17.141 9.360
## 397 77.821 21.100 9.869
## 398 30.520 6.421 3.662
## 399 74.118 25.653 6.590
## 400 70.957 21.742 7.685
## 401 38.871 6.101 6.204
## 402 73.761 27.704 5.465
## 403 56.470 14.730 7.661
## 404 30.924 5.430 5.004
## 405 98.181 33.425 8.925
## 406 52.487 20.555 3.275
## 407 58.576 25.493 2.427
## 408 57.766 21.615 4.228
## 409 45.767 6.694 8.191
## 410 73.627 20.525 9.131
## 411 65.248 16.083 8.050
## 412 23.895 6.777 2.159
## 413 35.216 8.192 4.430
## 414 96.216 30.857 9.719
## 415 51.000 10.049 8.365
## 416 26.185 6.801 2.726
## 417 38.873 11.523 3.765
## 418 38.703 11.158 3.428
## 419 78.572 21.050 9.976
## 420 30.941 10.619 2.412
## 421 57.984 19.798 4.656
## 422 60.925 24.789 3.496
## 423 57.049 22.864 3.064
## 424 69.388 24.436 5.776
## 425 40.093 11.720 4.220
## 426 72.074 20.721 8.500
## 427 78.743 32.905 4.581
## 428 63.816 23.739 4.772
## 429 38.546 11.549 3.740
## 430 63.932 26.182 3.261
## 431 58.281 14.278 8.029
## 432 57.967 13.712 8.097
## 433 59.800 20.876 5.132
## 434 39.168 13.075 3.001
## 435 84.580 24.577 9.748
## 436 66.162 18.848 7.859
## 437 52.116 7.529 9.957
## 438 64.627 26.972 3.001
## 439 59.352 16.112 7.862
## 440 70.687 22.974 6.075
## 441 81.145 33.922 4.194
## 442 76.700 21.475 9.003
## 443 84.024 29.079 7.693
## 444 33.861 10.004 2.993
## 445 33.616 5.753 5.045
## 446 75.739 28.259 5.532
## 447 51.766 14.576 5.335
## 448 81.079 28.747 6.709
## 449 59.552 11.421 9.540
## 450 83.561 29.042 7.611
## 451 50.546 20.726 2.516
## 452 79.959 25.366 8.502
## 453 85.324 33.206 5.790
## 454 66.624 29.748 2.089
## 455 58.067 15.220 7.036
## 456 78.488 29.034 6.373
## 457 48.688 7.125 8.700
## 458 55.379 10.248 9.157
## 459 66.233 17.871 8.391
## 460 77.383 20.841 9.498
## 461 61.651 14.811 8.903
## 462 54.252 19.247 4.016
## 463 44.462 12.060 4.618
## 464 89.140 34.643 6.298
## 465 41.180 7.012 6.658
## 466 82.269 26.623 7.998
## 467 68.971 18.706 7.931
## 468 27.174 8.546 2.687
## 469 33.134 9.023 3.685
## 470 55.330 18.603 5.143
## 471 23.732 6.125 2.451
## 472 87.582 28.298 8.671
## 473 69.025 18.807 8.386
## 474 96.886 33.296 9.126
## 475 74.982 29.984 4.526
## 476 49.146 15.353 5.580
## 477 91.193 34.083 6.584
## 478 92.625 34.607 7.260
## 479 41.576 8.802 5.819
## 480 53.320 7.876 9.545
## 481 29.633 8.078 2.644
## 482 48.559 18.680 2.580
## 483 36.207 12.019 2.270
## 484 72.851 30.195 4.108
## 485 66.735 27.564 3.970
## 486 38.011 14.196 2.338
## 487 60.048 21.660 4.175
## 488 89.199 28.495 9.538
## 489 40.465 7.171 6.529
## 490 56.634 23.428 2.351
## 491 68.889 18.213 8.836
## 492 43.504 8.730 6.210
## 493 65.431 20.931 6.634
## 494 58.819 23.829 3.369
## 495 40.132 13.457 3.464
## 496 58.307 13.043 8.500
## 497 88.865 34.773 6.459
## 498 56.166 21.297 3.699
## 499 77.518 25.854 7.254
## 500 71.587 26.493 5.517
## 501 65.522 14.910 9.396
## 502 75.243 27.353 5.958
## 503 82.580 34.708 4.544
## 504 75.936 34.629 2.557
## 505 75.346 25.436 7.610
## 506 69.929 19.552 8.357
## 507 47.162 9.514 7.634
## 508 47.807 10.145 6.595
## 509 84.135 28.839 7.955
## 510 86.070 26.838 8.908
## 511 73.541 18.903 9.920
## 512 61.797 26.954 2.596
## 513 43.945 6.010 8.223
## 514 82.144 24.467 9.810
## 515 49.592 14.991 4.860
## 516 45.454 17.891 2.481
## 517 71.070 18.520 9.560
## 518 46.079 16.400 3.306
## 519 36.928 12.187 2.631
## 520 33.983 5.289 5.509
## 521 88.176 34.087 5.880
## 522 60.123 24.619 3.509
## 523 71.856 19.840 8.791
## 524 55.163 23.914 2.278
## 525 49.085 5.872 9.778
## 526 69.379 25.299 4.773
## 527 43.965 5.389 8.834
## 528 75.814 28.409 5.688
## 529 88.272 32.101 7.010
## 530 74.634 19.282 9.735
## 531 40.283 13.853 2.277
## 532 50.040 18.863 2.872
## 533 71.299 32.259 2.438
## 534 56.917 14.571 6.862
## 535 56.299 14.795 7.469
## 536 81.832 24.770 8.877
## 537 55.000 10.926 8.216
## 538 72.997 25.954 6.246
## 539 63.050 22.628 5.291
## 540 56.697 11.582 9.173
## 541 77.737 32.338 3.526
## 542 99.550 34.374 9.931
## 543 52.426 13.844 6.795
## 544 58.140 21.933 3.959
## 545 44.253 7.923 7.116
## 546 65.852 27.709 3.175
## 547 56.690 8.543 9.635
## 548 59.633 19.103 5.509
## 549 68.533 28.578 3.558
## 550 64.881 22.027 6.005
## 551 78.493 34.757 3.099
## 552 26.658 5.643 2.950
## 553 71.034 26.678 4.974
## 554 58.817 16.168 6.675
## 555 45.501 9.160 6.351
## 556 63.331 22.075 5.600
## 557 62.745 27.619 2.172
## 558 65.348 24.266 4.396
## 559 65.439 28.155 2.537
## 560 41.687 13.246 3.242
## 561 83.106 27.354 7.933
## 562 65.982 20.457 7.332
## 563 95.719 31.887 9.416
## 564 78.118 30.286 5.468
## 565 66.169 21.606 6.254
## 566 47.960 9.737 7.534
## 567 45.945 9.180 7.044
## 568 31.210 8.489 3.115
## 569 64.463 22.668 5.011
## 570 31.375 5.036 5.019
## 571 46.531 8.290 7.078
## 572 54.616 12.841 8.034
## 573 76.058 28.017 5.672
## 574 58.154 20.370 4.750
## 575 73.332 27.630 5.625
## 576 70.591 17.338 9.687
## 577 52.634 9.397 8.459
## 578 66.682 23.156 5.272
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## 1721 60.651 19.779 6.035
## 1722 41.317 12.960 3.771
## 1723 52.731 14.096 6.696
## 1724 76.389 20.923 9.199
## 1725 26.251 7.401 2.376
## 1726 69.578 20.313 8.073
## 1727 69.290 27.402 4.562
## 1728 60.531 22.927 3.694
## 1729 69.452 20.633 7.998
## 1730 52.073 21.372 3.085
## 1731 73.860 27.802 5.541
## 1732 89.313 32.752 6.968
## 1733 52.002 6.230 9.609
## 1734 57.810 19.377 5.421
## 1735 38.572 9.071 4.656
## 1736 56.748 20.978 4.098
## 1737 44.705 11.133 5.188
## 1738 45.249 11.864 5.093
## 1739 43.628 7.008 7.003
## 1740 85.409 27.678 8.159
## 1741 74.942 32.787 3.546
## 1742 85.729 28.613 7.910
## 1743 50.111 12.633 7.473
## 1744 70.887 17.188 9.581
## 1745 50.880 12.710 6.491
## 1746 52.504 12.731 7.485
## 1747 86.855 27.753 9.517
## 1748 66.715 16.381 9.444
## 1749 75.118 32.915 2.992
## 1750 55.836 22.784 2.639
## 1751 52.999 7.808 9.458
## 1752 52.913 20.952 3.022
## 1753 90.058 29.673 9.417
## 1754 73.921 28.726 4.757
## 1755 39.317 7.072 6.187
## 1756 59.236 14.740 7.673
## 1757 36.463 12.085 2.487
## 1758 40.283 14.105 2.608
## 1759 68.836 18.907 8.179
## 1760 52.729 14.229 5.989
## 1761 39.990 7.567 5.755
## 1762 70.904 32.319 2.553
## 1763 45.083 11.638 5.234
## 1764 70.986 23.161 6.959
## 1765 36.265 12.947 2.011
## 1766 64.807 23.590 5.284
## 1767 44.655 9.295 6.663
## 1768 64.558 14.240 9.506
## 1769 29.531 7.243 3.029
## 1770 46.695 15.319 4.125
## 1771 52.165 20.293 2.422
## 1772 54.631 20.874 3.205
## 1773 81.482 29.273 6.105
## 1774 48.827 8.164 8.579
## 1775 48.216 13.612 5.652
## 1776 65.203 13.999 9.483
## 1777 37.682 5.653 6.203
## 1778 59.361 15.904 6.962
## 1779 64.747 26.706 3.235
## 1780 52.418 13.515 6.462
## 1781 53.427 16.336 5.082
## 1782 33.878 5.697 5.756
## 1783 64.659 28.123 3.237
## 1784 43.565 12.333 4.099
## 1785 40.058 12.949 3.095
## 1786 82.656 27.042 8.503
## 1787 31.624 7.464 3.631
## 1788 85.260 28.565 8.166
## 1789 59.607 23.874 2.811
## 1790 47.305 12.085 6.247
## 1791 32.619 8.989 3.308
## 1792 68.526 27.328 4.327
## 1793 74.163 25.324 6.800
## 1794 63.392 19.553 6.385
## 1795 49.536 10.495 7.458
## 1796 68.915 23.072 6.928
## 1797 72.395 32.491 2.235
## 1798 42.277 13.161 3.914
## 1799 84.245 29.319 6.832
## 1800 51.085 19.489 3.150
## 1801 78.995 25.030 8.000
## 1802 85.572 30.615 7.712
## 1803 89.030 30.856 8.054
## 1804 94.250 30.610 9.498
## 1805 32.768 8.623 3.333
## 1806 41.528 9.739 5.592
## 1807 37.328 8.305 5.482
## 1808 34.623 12.816 2.194
## 1809 22.761 5.178 2.271
## 1810 63.688 17.672 7.487
## 1811 45.160 15.144 4.019
## 1812 61.876 23.405 4.552
## 1813 83.844 31.480 6.156
## 1814 73.237 33.149 2.459
## 1815 88.828 28.836 8.311
## 1816 86.657 31.365 6.814
## 1817 39.865 11.341 3.865
## 1818 54.459 13.788 7.405
## 1819 61.550 17.508 7.071
## 1820 49.741 8.152 8.569
## 1821 93.701 30.719 9.416
## 1822 35.101 11.354 3.115
## 1823 59.346 19.295 5.390
## 1824 79.956 25.119 8.668
## 1825 83.084 29.690 7.765
## 1826 38.888 6.766 6.142
## 1827 43.288 13.470 4.102
## 1828 72.615 24.989 6.665
## 1829 86.522 30.495 8.578
## 1830 45.422 13.603 4.881
## 1831 84.239 26.146 8.842
## 1832 57.113 11.725 8.554
## 1833 76.557 29.393 4.942
## 1834 75.536 23.725 7.652
## 1835 78.290 24.060 8.346
## 1836 41.460 11.718 4.778
## 1837 36.426 11.746 3.313
## 1838 69.575 23.400 6.958
## 1839 67.350 24.174 5.449
## 1840 54.207 20.594 3.620
## 1841 53.232 21.098 3.435
## 1842 60.368 20.396 4.590
## 1843 40.221 7.990 6.145
## 1844 68.073 19.594 7.892
## 1845 89.474 29.767 8.595
## 1846 68.850 28.443 3.965
## 1847 22.416 6.597 2.298
## 1848 96.416 32.243 9.217
## 1849 48.858 8.090 7.649
## 1850 66.366 27.739 3.227
## 1851 65.975 19.213 7.661
## 1852 59.023 24.298 2.720
## 1853 69.525 27.298 4.500
## 1854 92.393 34.503 6.348
## 1855 28.093 5.956 3.191
## 1856 46.874 5.344 9.320
## 1857 48.275 17.226 2.844
## 1858 77.312 34.045 3.202
## 1859 44.297 13.667 4.354
## 1860 80.328 32.380 4.933
## 1861 33.290 12.378 2.131
## 1862 38.903 14.281 2.422
## 1863 67.848 28.071 3.517
## 1864 54.414 11.649 8.457
## 1865 34.602 9.404 3.334
## 1866 74.824 31.508 3.962
## 1867 70.399 23.949 6.505
## 1868 52.612 13.010 6.780
## 1869 94.256 32.964 8.557
## 1870 87.587 28.912 8.887
## 1871 38.912 13.248 2.441
## 1872 42.018 9.819 5.369
## 1873 40.910 5.774 7.205
## 1874 61.845 16.458 7.654
## 1875 69.127 25.306 5.823
## 1876 32.490 7.084 4.009
## 1877 92.165 33.849 7.555
## 1878 49.533 18.039 3.271
## 1879 69.890 20.814 7.631
## 1880 44.798 5.926 8.241
## 1881 61.203 19.773 5.421
## 1882 60.112 11.177 9.997
## 1883 37.760 11.579 3.877
## 1884 44.054 8.680 6.561
## 1885 37.547 13.805 2.383
## 1886 49.188 12.817 6.535
## 1887 37.663 6.258 5.970
## 1888 32.444 8.445 3.834
## 1889 73.962 25.121 6.172
## 1890 55.453 21.002 3.796
## 1891 75.371 25.193 7.079
## 1892 72.849 23.177 7.431
## 1893 71.651 24.857 6.582
## 1894 71.757 30.199 3.828
## 1895 48.001 8.863 7.418
## 1896 94.577 31.568 9.504
## 1897 55.623 19.427 4.161
## 1898 48.653 18.252 3.248
## 1899 68.601 19.205 8.306
## 1900 60.318 17.687 6.882
## 1901 62.236 14.867 8.391
## 1902 44.871 6.015 8.146
## 1903 84.482 31.340 6.341
## 1904 75.499 31.518 3.752
## 1905 73.093 20.139 9.106
## 1906 55.791 9.210 9.707
## 1907 45.359 6.338 8.136
## 1908 45.589 9.777 6.953
## 1909 37.356 13.864 2.294
## 1910 78.302 25.029 7.754
## 1911 75.513 25.069 7.429
## 1912 74.368 24.684 6.741
## 1913 70.844 20.070 8.082
## 1914 67.360 17.049 9.278
## 1915 65.191 15.183 9.367
## 1916 40.520 7.601 6.451
## 1917 77.875 21.885 9.169
## 1918 65.593 23.442 5.514
## 1919 70.270 31.424 2.557
## 1920 29.273 6.499 3.785
## 1921 32.350 5.010 5.728
## 1922 47.125 12.793 5.733
## 1923 83.101 33.644 5.352
## 1924 54.349 20.815 4.179
## 1925 51.117 10.815 7.810
## 1926 86.827 32.773 6.260
## 1927 78.669 21.012 9.818
## 1928 58.696 15.005 8.326
## 1929 54.292 12.847 7.404
## 1930 97.277 34.611 8.424
## 1931 44.350 9.144 6.643
## 1932 80.745 26.591 8.115
## 1933 49.085 17.704 3.607
## 1934 72.234 30.360 3.430
## 1935 92.899 34.401 7.409
## 1936 77.292 30.243 4.785
## 1937 26.971 6.363 2.673
## 1938 35.299 7.807 4.321
## 1939 85.858 29.654 7.659
## 1940 57.913 18.597 5.488
## 1941 73.430 21.596 8.154
## 1942 89.536 34.103 6.687
## 1943 52.190 16.625 5.240
## 1944 85.699 29.390 8.092
## 1945 93.330 31.973 8.220
## 1946 86.390 28.384 8.603
## 1947 51.022 20.427 3.178
## 1948 74.567 23.327 7.712
## 1949 84.743 34.585 5.163
## 1950 73.934 33.369 2.824
## 1951 62.270 18.861 6.831
## 1952 44.278 5.400 8.801
## 1953 81.268 34.136 4.546
## 1954 76.871 24.927 7.844
## 1955 48.514 14.947 4.511
## 1956 76.658 27.953 5.744
## 1957 58.150 25.946 2.090
## 1958 60.396 14.222 8.641
## 1959 53.934 11.545 7.747
## 1960 81.892 23.461 9.751
## 1961 42.788 10.097 5.065
## 1962 25.727 5.174 3.117
## 1963 43.163 11.494 5.217
## 1964 47.920 11.298 5.849
## 1965 65.747 20.871 7.143
## 1966 47.662 19.022 2.435
## 1967 76.869 31.079 4.858
## 1968 81.866 26.304 9.401
## 1969 69.012 20.284 8.116
## 1970 38.025 9.748 4.545
## 1971 84.534 32.234 6.341
## 1972 42.026 8.737 5.990
## 1973 49.473 18.119 3.245
## 1974 90.792 33.000 7.732
## 1975 56.669 18.006 5.711
## 1976 54.398 20.593 3.228
## 1977 72.891 20.452 9.290
## 1978 49.433 17.587 3.801
## 1979 31.075 5.566 4.553
## 1980 43.615 9.920 6.177
## 1981 47.885 6.740 9.005
## 1982 55.029 20.770 3.773
## 1983 32.495 8.300 3.719
## 1984 62.214 12.701 9.839
## 1985 41.881 6.119 7.713
## 1986 47.683 10.206 6.631
## 1987 100.498 34.774 9.766
## 1988 50.737 7.260 9.520
## 1989 88.730 27.785 9.365
## 1990 72.013 27.727 4.650
## 1991 69.455 31.167 2.192
## 1992 22.888 5.383 2.754
## 1993 43.001 7.155 6.969
## 1994 70.200 26.374 4.905
## 1995 37.334 6.312 6.124
## 1996 40.829 13.384 3.668
## 1997 78.889 34.902 2.936
## 1998 74.685 24.977 7.232
## 1999 55.893 10.150 9.033
## 2000 53.801 13.622 6.822
## 2001 63.569 16.289 8.367
## 2002 51.620 14.298 6.157
## 2003 82.447 30.812 6.485
## 2004 66.890 18.274 7.582
## 2005 41.906 10.528 4.997
## 2006 52.138 15.808 5.153
## 2007 78.632 26.635 6.799
## 2008 67.398 23.423 5.953
## 2009 69.616 31.646 2.084
## 2010 34.512 9.337 2.713
## 2011 74.525 29.913 4.597
## 2012 58.497 11.362 9.214
## 2013 94.876 33.554 8.181
## 2014 47.006 7.694 7.797
## 2015 56.609 22.601 2.832
## 2016 77.895 26.620 7.229
## 2017 62.826 26.465 2.956
## 2018 48.650 20.678 2.213
## 2019 49.778 19.843 2.674
## 2020 67.560 19.959 7.603
## 2021 90.436 31.597 8.162
## 2022 46.684 11.563 5.537
## 2023 71.303 26.615 5.883
## 2024 51.817 16.026 4.988
## 2025 72.191 20.455 9.384
## 2026 76.335 22.939 8.831
## 2027 36.409 8.638 4.716
## 2028 64.041 17.156 7.632
## 2029 62.978 16.953 7.539
## 2030 79.679 25.333 8.698
## 2031 78.051 22.757 9.826
## 2032 93.888 32.373 8.170
## 2033 61.489 22.198 4.851
## 2034 49.619 10.632 7.270
## 2035 39.655 7.879 6.282
## 2036 76.461 25.973 7.149
## 2037 49.327 12.364 6.420
## 2038 88.663 31.758 7.627
## 2039 68.292 21.392 7.025
## 2040 46.108 12.508 4.804
## 2041 52.175 10.189 8.423
## 2042 95.587 33.807 8.415
## 2043 61.029 18.735 6.067
## 2044 65.671 30.144 2.247
## 2045 65.867 30.379 2.296
## 2046 56.760 20.816 4.080
## 2047 43.159 13.916 2.898
## 2048 76.501 27.918 6.379
## 2049 68.535 19.381 8.016
## 2050 69.528 24.502 5.318
## 2051 27.913 5.767 4.640
## 2052 33.442 8.098 4.713
## 2053 73.383 20.103 9.763
## 2054 88.552 26.773 9.649
## 2055 51.643 18.891 3.697
## 2056 78.571 34.248 3.237
## 2057 87.139 28.059 9.464
## 2058 65.490 26.791 3.147
## 2059 47.388 17.509 2.875
## 2060 91.843 29.153 9.567
## 2061 58.217 12.848 9.237
## 2062 56.347 20.053 4.237
## 2063 77.536 31.597 3.950
## 2064 75.999 33.284 3.026
## 2065 72.812 31.269 3.355
## 2066 97.376 32.995 9.571
## 2067 75.166 22.145 8.347
## 2068 82.399 34.665 4.128
## 2069 62.779 21.387 5.680
## 2070 76.978 34.297 3.883
## 2071 76.650 26.518 7.290
## 2072 64.437 28.075 2.832
## 2073 61.647 19.614 6.199
## 2074 75.418 22.373 8.655
## 2075 56.567 9.957 9.905
## 2076 25.396 6.561 2.878
## 2077 66.433 30.550 2.112
## 2078 71.182 20.330 8.829
## 2079 94.492 31.695 9.070
## 2080 58.367 19.837 4.221
## 2081 47.265 5.289 9.336
## 2082 68.856 30.935 2.026
## 2083 52.499 14.862 5.740
## 2084 83.048 29.221 7.575
## 2085 78.599 31.140 4.475
## 2086 64.857 23.608 4.753
## 2087 90.185 29.291 8.988
## 2088 69.456 20.857 7.070
## 2089 87.934 27.751 8.794
## 2090 83.578 28.078 7.792
## 2091 53.778 8.454 9.628
## 2092 50.360 5.832 9.910
## 2093 41.857 10.688 4.979
## 2094 71.941 25.988 5.776
## 2095 52.376 9.122 8.653
## 2096 61.983 22.014 5.087
## 2097 93.764 32.622 8.392
## 2098 79.929 25.177 8.772
## 2099 42.270 7.935 6.776
## 2100 65.457 21.407 6.041
## 2101 72.788 18.051 9.416
## 2102 42.419 14.756 2.964
## 2103 60.122 15.298 8.000
## 2104 61.446 12.386 9.358
## 2105 82.690 24.223 9.172
## 2106 72.093 28.697 3.802
## 2107 42.760 9.820 5.618
## 2108 55.421 21.947 2.676
## 2109 82.105 34.234 4.262
## 2110 73.269 21.475 8.214
## 2111 48.677 8.905 8.014
## 2112 85.085 30.424 8.183
## 2113 48.430 18.650 2.071
## 2114 47.044 6.671 8.781
## 2115 87.668 27.632 8.762
## 2116 81.649 29.256 6.351
## 2117 61.414 25.263 3.447
## 2118 44.251 14.206 3.991
## 2119 72.371 18.870 9.263
## 2120 30.994 7.050 4.288
## 2121 70.574 28.716 4.621
## 2122 41.886 5.192 7.980
## 2123 68.121 24.414 5.477
## 2124 49.148 11.592 6.664
## 2125 78.955 33.755 4.142
## 2126 65.217 27.387 3.045
## 2127 79.618 22.882 9.235
## 2128 37.639 8.741 4.974
## 2129 79.685 28.138 6.945
## 2130 68.803 30.990 2.443
## 2131 84.544 29.649 7.473
## 2132 33.446 6.893 4.360
## 2133 43.891 13.554 4.813
## 2134 81.064 29.205 6.558
## 2135 23.603 5.462 2.495
## 2136 44.703 10.162 6.266
## 2137 73.997 25.078 6.844
## 2138 65.412 21.167 6.287
## 2139 50.315 8.104 8.502
## 2140 83.523 27.797 8.734
## 2141 68.975 21.573 7.403
## 2142 79.651 32.824 4.025
## 2143 75.853 21.417 9.326
## 2144 40.776 14.870 2.650
## 2145 46.653 19.056 2.149
## 2146 84.797 24.704 9.996
## 2147 72.781 30.953 2.723
## 2148 53.938 8.674 9.688
## 2149 70.435 30.069 3.037
## 2150 47.449 16.322 3.754
## 2151 58.311 24.746 3.097
## 2152 75.156 32.212 4.182
## 2153 72.337 24.997 6.872
## 2154 49.679 19.495 2.600
## 2155 70.046 29.957 3.396
## 2156 71.124 28.631 4.160
## 2157 47.008 15.200 4.187
## 2158 82.872 29.191 7.572
## 2159 93.862 29.525 9.649
## 2160 40.882 15.531 2.275
## 2161 49.251 13.210 5.658
## 2162 79.098 21.683 9.728
## 2163 87.288 33.822 6.427
## 2164 76.786 33.581 3.324
## 2165 34.400 5.370 5.726
## 2166 52.035 9.168 9.238
## 2167 90.791 32.668 7.835
## 2168 70.439 22.655 7.192
## 2169 47.807 16.366 3.788
## 2170 70.344 17.713 9.782
## 2171 80.779 31.579 5.981
## 2172 72.290 23.682 7.571
## 2173 47.046 19.745 2.214
## 2174 32.991 11.570 2.588
## 2175 58.069 14.160 8.037
## 2176 27.401 6.106 3.189
## 2177 73.884 19.735 9.672
## 2178 86.427 32.120 6.415
## 2179 57.879 22.211 3.283
## 2180 64.982 22.882 5.602
## 2181 64.597 19.227 7.181
## 2182 73.285 20.765 9.039
## 2183 56.171 9.173 9.562
## 2184 38.504 11.895 2.794
## 2185 31.720 9.045 2.581
## 2186 50.131 11.646 6.513
## 2187 78.965 32.102 4.187
## 2188 61.554 14.237 9.265
## 2189 62.826 14.147 9.293
## 2190 72.193 20.012 9.237
## 2191 90.471 31.350 8.460
## 2192 58.984 13.829 8.587
## 2193 57.468 18.802 4.959
## 2194 68.784 24.268 5.330
## 2195 46.598 10.938 6.529
## 2196 74.864 21.774 8.829
## 2197 25.899 6.640 2.012
## 2198 40.443 7.769 6.681
## 2199 82.879 28.048 7.566
## 2200 46.322 8.978 7.381
## 2201 37.922 9.557 4.500
## 2202 93.408 29.677 9.318
## 2203 76.926 24.668 8.255
## 2204 33.270 8.769 3.105
## 2205 35.003 10.971 2.612
## 2206 72.935 26.044 5.672
## 2207 64.859 27.736 2.587
## 2208 74.204 22.565 8.146
## 2209 97.237 33.814 8.500
## 2210 65.329 26.892 2.950
## 2211 34.734 7.193 5.215
## 2212 55.687 16.628 6.781
## 2213 48.778 19.147 2.887
## 2214 55.161 23.149 2.749
## 2215 58.240 24.234 3.200
## 2216 24.544 6.076 2.101
## 2217 82.225 23.024 9.564
## 2218 51.798 6.267 9.935
## 2219 69.336 24.787 5.448
## 2220 35.023 6.966 5.180
## 2221 77.469 24.583 7.403
## 2222 47.846 19.161 2.938
## 2223 70.415 30.554 2.869
## 2224 80.599 34.719 3.880
## 2225 76.110 32.668 3.228
## 2226 46.704 5.879 8.882
## 2227 63.027 24.815 3.738
## 2228 28.197 6.088 3.611
## 2229 51.826 17.109 4.541
## 2230 72.188 29.720 4.013
## 2231 46.659 12.153 6.177
## 2232 70.330 19.475 8.245
## 2233 77.137 30.760 4.607
## 2234 78.724 27.701 6.275
## 2235 47.603 12.745 4.910
## 2236 90.953 30.420 8.533
## 2237 80.793 28.860 7.288
## 2238 48.947 6.936 8.744
## 2239 37.149 5.928 6.159
## 2240 68.557 14.591 9.989
## 2241 75.252 23.177 7.731
## 2242 39.024 10.695 3.528
## 2243 91.680 34.802 7.325
## 2244 68.131 28.311 3.120
## 2245 69.702 32.281 2.034
## 2246 85.170 33.513 5.647
## 2247 45.900 8.357 7.568
## 2248 47.049 13.587 5.045
## 2249 62.681 14.092 9.157
## 2250 40.407 11.837 3.909
## 2251 83.217 32.444 5.760
## 2252 36.217 12.938 2.575
## 2253 50.547 9.820 7.547
## 2254 59.963 22.830 4.381
## 2255 56.303 18.439 5.054
## 2256 69.339 24.884 5.244
## 2257 55.829 14.774 6.637
## 2258 62.587 18.965 6.331
## 2259 64.396 18.739 7.300
## 2260 38.679 14.113 2.264
## 2261 92.208 30.617 9.102
## 2262 53.315 12.897 6.425
## 2263 42.354 9.578 5.697
## 2264 53.007 12.679 7.111
## 2265 72.208 30.927 3.315
## 2266 45.252 11.900 4.901
## 2267 53.693 12.325 7.708
## 2268 78.481 21.039 9.719
## 2269 72.309 32.515 2.147
## 2270 37.168 13.103 2.937
## 2271 53.087 13.319 6.871
## 2272 59.776 20.277 5.027
## 2273 55.089 16.209 6.192
## 2274 79.571 28.094 6.624
## 2275 57.730 22.160 3.624
## 2276 74.019 23.661 7.927
## 2277 30.671 6.691 3.917
## 2278 68.363 24.020 5.835
## 2279 58.127 22.399 3.552
## 2280 46.677 16.393 2.725
## 2281 39.242 5.597 7.164
## 2282 35.615 8.002 4.383
## 2283 49.240 9.936 7.188
## 2284 45.526 8.286 7.589
## 2285 42.838 16.537 2.414
## 2286 60.935 21.004 4.569
## 2287 61.493 16.644 7.712
## 2288 79.481 25.902 8.141
## 2289 52.783 17.276 4.651
## 2290 28.536 7.866 2.751
## 2291 67.920 21.237 7.217
## 2292 31.165 6.737 4.082
## 2293 71.119 32.371 2.370
## 2294 70.147 28.769 3.711
## 2295 56.460 14.386 7.776
## 2296 73.568 27.793 5.292
## 2297 76.405 30.598 4.666
## 2298 87.700 29.979 8.471
## 2299 66.533 20.141 7.471
## 2300 66.964 30.501 2.092
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## 4568 62.516 25.275 3.409
## 4569 67.405 26.249 3.920
## 4570 75.126 21.449 8.482
## 4571 84.674 34.770 5.019
## 4572 30.096 8.194 3.656
## 4573 37.697 5.562 5.960
## 4574 53.300 22.140 2.027
## 4575 44.235 14.661 3.210
## 4576 72.454 24.019 6.536
## 4577 66.932 17.904 8.462
## 4578 54.297 24.727 2.168
## 4579 70.009 16.204 9.771
## 4580 51.201 20.649 2.705
## 4581 35.004 8.014 4.326
## 4582 72.780 19.562 9.254
## 4583 59.308 18.641 6.163
## 4584 71.699 19.812 8.497
## 4585 60.954 21.003 4.890
## 4586 56.772 14.359 7.048
## 4587 68.981 19.811 7.886
## 4588 66.121 15.881 9.236
## 4589 87.270 33.657 5.916
## 4590 75.173 34.423 2.065
## 4591 84.241 33.851 5.270
## 4592 41.022 8.649 5.391
## 4593 61.087 13.467 9.295
## 4594 37.850 8.510 4.681
## 4595 65.541 26.805 3.764
## 4596 42.414 15.384 2.934
## 4597 56.840 10.141 9.811
## 4598 72.018 29.850 3.543
## 4599 47.977 13.162 5.514
## 4600 79.576 24.529 8.515
## 4601 69.118 27.829 4.345
## 4602 64.896 16.590 8.631
## 4603 51.965 9.332 8.469
## 4604 81.141 24.634 9.029
## 4605 57.450 24.038 2.744
## 4606 52.227 18.904 3.413
## 4607 50.368 13.740 5.678
## 4608 38.570 14.419 2.334
## 4609 73.076 25.449 6.265
## 4610 82.544 27.101 8.056
## 4611 66.274 29.565 2.153
## 4612 79.229 23.877 8.896
## 4613 70.700 32.965 2.054
## 4614 34.281 7.299 4.964
## 4615 33.538 6.889 4.148
## 4616 48.286 7.394 8.568
## 4617 75.137 32.346 3.381
## 4618 80.076 33.260 4.340
## 4619 57.058 11.449 9.056
## 4620 60.442 19.820 5.057
## 4621 56.125 13.199 7.497
## 4622 28.296 9.175 2.436
## 4623 53.435 20.350 3.861
## 4624 81.051 27.875 7.902
## 4625 57.962 11.832 9.622
## 4626 81.742 29.827 6.176
## 4627 69.898 22.397 7.382
## 4628 39.280 10.789 3.901
## 4629 56.374 17.269 5.741
## 4630 71.735 32.547 2.411
## 4631 33.045 5.902 5.054
## 4632 65.902 17.073 8.915
## 4633 25.799 7.403 2.291
## 4634 74.998 32.632 3.287
## 4635 44.630 8.724 6.875
## 4636 75.253 31.793 3.751
## 4637 65.114 25.362 4.109
## 4638 26.345 6.400 2.504
## 4639 57.157 20.556 3.997
## 4640 71.755 21.479 8.257
## 4641 43.937 13.301 3.905
## 4642 64.431 28.152 2.496
## 4643 83.043 32.414 5.573
## 4644 67.817 23.578 5.778
## 4645 73.449 19.237 9.227
## 4646 56.697 15.903 6.557
## 4647 40.867 16.145 2.257
## 4648 84.331 34.370 5.588
## 4649 56.966 20.715 4.273
## 4650 43.873 12.998 4.255
## 4651 76.864 32.349 3.778
## 4652 46.530 19.270 2.477
## 4653 38.683 5.864 5.859
## 4654 53.921 10.308 8.768
## 4655 46.515 17.619 2.097
## 4656 58.183 14.685 7.863
## 4657 83.890 27.795 8.197
## 4658 58.343 20.917 4.295
## 4659 55.404 18.532 5.037
## 4660 75.990 31.835 3.800
## 4661 36.317 7.282 5.701
## 4662 81.977 31.227 5.918
## 4663 33.585 11.101 2.770
## 4664 34.973 11.692 2.621
## 4665 92.304 32.786 8.145
## 4666 81.892 23.974 9.700
## 4667 51.257 8.372 9.366
## 4668 52.438 21.386 2.785
## 4669 57.976 21.645 4.060
## 4670 51.252 19.126 3.819
## 4671 88.537 30.080 8.062
## 4672 74.114 26.134 6.618
## 4673 50.145 12.137 6.671
## 4674 49.441 5.369 9.200
## 4675 71.986 24.135 7.244
## 4676 26.649 6.921 2.434
## 4677 65.384 27.975 2.151
## 4678 63.625 19.272 7.001
## 4679 48.971 5.792 9.689
## 4680 52.759 14.822 6.216
## 4681 67.371 21.908 5.912
## 4682 72.353 19.206 9.577
## 4683 72.718 23.470 7.728
## 4684 88.557 34.916 5.632
## 4685 59.482 21.629 4.706
## 4686 53.485 10.919 7.617
## 4687 82.612 26.654 8.287
## 4688 33.051 10.918 2.366
## 4689 83.003 31.584 6.002
## 4690 65.750 22.499 5.565
## 4691 54.818 18.235 4.763
## 4692 50.107 14.128 5.008
## 4693 60.713 17.315 6.686
## 4694 75.745 21.247 9.378
## 4695 75.987 22.457 8.727
## 4696 90.439 31.325 9.077
## 4697 56.334 10.338 9.559
## 4698 64.652 13.441 9.977
## 4699 74.097 31.179 4.433
## 4700 76.622 31.374 4.382
## 4701 84.919 31.644 6.892
## 4702 62.113 11.414 9.765
## 4703 97.677 33.596 9.403
## 4704 51.126 8.087 8.652
## 4705 67.247 16.195 9.617
## 4706 59.545 12.549 8.790
## 4707 91.334 30.123 9.179
## 4708 70.896 32.496 2.024
## 4709 92.178 34.527 7.009
## 4710 67.582 26.804 4.075
## 4711 29.565 6.879 3.739
## 4712 79.142 24.952 8.559
## 4713 88.484 33.163 7.066
## 4714 35.261 10.260 3.299
## 4715 29.674 6.612 3.623
## 4716 76.568 22.081 9.100
## 4717 69.031 30.937 2.520
## 4718 56.113 22.121 3.261
## 4719 74.633 28.397 4.938
## 4720 60.711 17.788 6.228
## 4721 62.453 12.864 9.453
## 4722 76.232 30.582 4.911
## 4723 85.008 29.961 7.745
## 4724 42.769 7.009 7.364
## 4725 69.198 27.280 4.079
## 4726 70.430 17.480 9.442
## 4727 49.896 18.410 4.198
## 4728 74.802 23.644 7.664
## 4729 33.003 7.365 4.470
## 4730 73.862 33.894 2.195
## 4731 70.667 31.484 2.498
## 4732 66.724 29.359 2.652
## 4733 30.557 7.460 3.660
## 4734 54.989 19.256 4.755
## 4735 69.395 19.040 8.807
## 4736 33.765 5.937 5.236
## 4737 63.587 23.860 4.941
## 4738 48.340 15.906 4.411
## 4739 68.132 18.035 8.620
## 4740 79.552 22.503 9.849
## 4741 76.785 27.123 6.654
## 4742 50.688 6.841 9.754
## 4743 64.726 24.345 5.311
## 4744 80.942 34.631 3.077
## 4745 69.261 16.817 9.440
## 4746 68.296 21.910 6.894
## 4747 65.479 15.680 9.440
## 4748 74.833 34.859 2.428
## 4749 33.284 5.970 4.996
## 4750 64.929 23.717 4.224
## 4751 33.064 11.472 2.155
## 4752 58.781 18.823 5.085
## 4753 46.468 9.652 7.055
## 4754 36.172 6.677 5.267
## 4755 88.894 29.904 8.435
## 4756 62.830 21.247 5.762
## 4757 68.695 23.237 6.385
## 4758 39.175 12.693 3.531
## 4759 43.949 11.903 4.753
## 4760 66.304 23.678 5.895
## 4761 64.977 15.734 9.406
## 4762 70.537 29.760 3.443
## 4763 61.398 14.923 8.298
## 4764 70.271 30.931 2.674
## 4765 48.986 18.104 3.583
## 4766 26.021 5.711 3.249
## 4767 63.366 20.562 5.793
## 4768 46.622 18.702 2.548
## 4769 69.793 29.357 3.157
## 4770 64.250 24.741 3.811
## 4771 39.742 5.500 6.697
## 4772 47.832 20.144 2.648
## 4773 71.957 28.794 3.976
## 4774 32.155 6.994 4.630
## 4775 66.991 22.907 5.990
## 4776 52.403 9.678 8.003
## 4777 70.765 21.316 8.156
## 4778 73.835 33.007 2.290
## 4779 65.577 25.110 4.232
## 4780 53.683 18.176 4.519
## 4781 67.027 21.281 6.608
## 4782 73.276 26.956 5.080
## 4783 64.004 21.176 6.095
## 4784 90.118 31.503 8.481
## 4785 54.149 12.882 7.449
## 4786 39.617 13.944 2.551
## 4787 44.425 13.120 4.687
## 4788 61.447 15.689 8.212
## 4789 70.828 21.720 7.727
## 4790 70.059 30.250 2.781
## 4791 58.376 21.589 4.149
## 4792 88.163 30.341 8.103
## 4793 37.890 8.866 5.315
## 4794 50.512 11.853 7.223
## 4795 42.670 11.067 4.328
## 4796 93.381 33.491 8.032
## 4797 41.570 15.257 2.780
## 4798 69.033 19.320 8.085
## 4799 55.843 15.743 6.434
## 4800 85.541 31.403 6.733
## 4801 55.366 19.483 4.199
## 4802 67.350 17.397 8.565
## 4803 74.855 28.207 5.396
## 4804 34.796 11.801 2.769
## 4805 31.191 9.501 2.787
## 4806 54.341 19.699 4.093
## 4807 74.605 33.879 2.877
## 4808 90.215 28.800 9.796
## 4809 84.295 29.544 7.257
## 4810 48.894 14.523 5.229
## 4811 44.829 18.277 2.573
## 4812 91.974 33.865 7.700
## 4813 43.693 5.468 7.928
## 4814 62.670 19.104 6.228
## 4815 49.885 13.686 5.976
## 4816 68.923 24.361 5.655
## 4817 44.650 9.622 5.992
## 4818 79.157 24.200 8.880
## 4819 39.516 11.039 4.342
## 4820 63.270 23.026 4.786
## 4821 67.066 24.232 5.363
## 4822 56.593 21.543 4.213
## 4823 44.037 13.694 3.727
## 4824 32.471 9.142 2.739
## 4825 61.920 22.806 4.461
## 4826 81.539 25.430 8.404
## 4827 97.362 34.690 8.955
## 4828 58.242 22.137 3.978
## 4829 40.190 13.514 3.095
## 4830 68.719 27.404 4.403
## 4831 53.300 23.053 2.503
## 4832 73.635 28.997 4.636
## 4833 30.203 8.949 2.918
## 4834 31.339 8.136 2.914
## 4835 27.840 7.471 2.682
## 4836 69.913 27.343 4.483
## 4837 91.347 33.075 7.466
## 4838 51.834 9.226 8.424
## 4839 95.613 30.350 9.656
## 4840 45.565 14.956 4.304
## 4841 82.168 32.361 5.526
## 4842 68.740 16.410 9.795
## 4843 65.488 15.787 9.103
## 4844 84.166 31.351 6.709
## 4845 50.126 21.259 2.073
## 4846 79.056 34.282 3.399
## 4847 78.766 28.468 5.784
## 4848 42.351 15.962 2.332
## 4849 77.701 32.132 4.627
## 4850 73.968 28.593 5.044
## 4851 75.032 29.448 4.736
## 4852 50.400 19.988 2.077
## 4853 59.418 12.402 8.526
## 4854 91.796 34.968 6.645
## 4855 64.883 15.005 9.315
## 4856 66.755 13.892 9.908
## 4857 76.040 28.660 5.832
## 4858 49.705 16.251 4.618
## 4859 72.477 22.651 7.681
## 4860 56.827 11.204 9.254
## 4861 39.161 7.412 5.811
## 4862 44.866 12.657 4.967
## 4863 85.958 27.889 8.941
## 4864 41.194 12.246 3.199
## 4865 69.619 21.329 7.814
## 4866 75.574 29.831 4.863
## 4867 88.527 33.455 6.731
## 4868 91.873 31.788 8.404
## 4869 78.169 29.478 5.656
## 4870 38.123 13.285 2.993
## 4871 39.892 13.517 2.967
## 4872 44.302 9.503 6.571
## 4873 33.260 7.434 5.250
## 4874 36.223 7.666 4.683
## 4875 70.509 24.662 6.157
## 4876 78.460 26.292 7.378
## 4877 62.768 20.960 6.512
## 4878 85.311 28.552 8.542
## 4879 23.383 6.692 2.686
## 4880 48.575 15.968 4.280
## 4881 27.108 6.632 2.292
## 4882 73.953 27.881 5.230
## 4883 72.768 26.403 5.603
## 4884 56.968 15.173 7.038
## 4885 60.982 26.567 2.548
## 4886 71.037 27.335 5.328
## 4887 47.122 6.929 8.431
## 4888 94.403 32.788 8.799
## 4889 54.706 20.338 4.189
## 4890 84.122 29.887 7.380
## 4891 98.181 33.791 9.197
## 4892 93.809 33.568 8.238
## 4893 63.074 20.383 6.094
## 4894 64.308 26.665 3.894
## 4895 69.795 21.442 7.238
## 4896 61.381 25.248 3.280
## 4897 22.823 6.494 2.039
## 4898 63.500 14.283 9.145
## 4899 47.411 8.579 7.538
## 4900 57.213 15.834 7.193
## 4901 53.893 12.348 7.360
## 4902 51.361 15.344 4.944
## 4903 62.224 23.957 3.931
## 4904 72.991 30.903 3.074
## 4905 57.215 9.705 9.324
## 4906 56.872 9.079 9.797
## 4907 103.384 34.543 9.997
## 4908 44.993 10.474 6.477
## 4909 51.042 6.316 9.932
## 4910 73.597 30.580 3.985
## 4911 74.111 30.834 3.663
## 4912 88.475 28.283 9.165
## 4913 93.462 34.036 7.866
## 4914 34.444 9.343 4.057
## 4915 67.577 23.802 5.254
## 4916 62.635 20.201 6.297
## 4917 79.652 31.182 5.421
## 4918 63.266 27.476 2.879
## 4919 74.762 20.334 8.954
## 4920 82.186 31.576 6.132
## 4921 67.706 29.802 3.209
## 4922 49.812 7.522 8.800
## 4923 28.518 7.885 3.094
## 4924 61.367 11.190 9.759
## 4925 62.812 15.369 8.4293 DIAGRAMA DE DISPERSION
# Extraer variables
x1 <- MSHA$x1 # Experiencia total
x2 <- MSHA$x2 # Índice de riesgo
y <- MSHA$y # Severidad de lesión
MSHA_reg <- scatterplot3d(
x1, x2, y,
angle = 60,
pch = 16,
color = "darkred",
main ="Gráfica N°1: Diagrama de dispersión de la severidad de lesiones,
experiencia total e índice de exposición al riesgo",
xlab ="Experiencia total (años)",
ylab ="Índice de exposición al riesgo",
zlab ="Severidad de la lesión"
)
4 CONJETURA DEL MODELO
##
## Call:
## lm(formula = y ~ x1 + x2)
##
## Residuals:
## Min 1Q Median 3Q Max
## -4.1204 -0.8183 -0.0071 0.8246 4.5297
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 5.034784 0.062300 80.81 <2e-16 ***
## x1 1.800142 0.001987 905.94 <2e-16 ***
## x2 3.498019 0.007477 467.82 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.208 on 4922 degrees of freedom
## Multiple R-squared: 0.9953, Adjusted R-squared: 0.9953
## F-statistic: 5.165e+05 on 2 and 4922 DF, p-value: < 2.2e-16# Extraer las variables de la tabla
x1 <- MSHA$x1 # Experiencia total (años)
x2 <- MSHA$x2 # Índice de exposición al riesgo
y <- MSHA$y # Severidad de la lesión
# Diagrama de dispersión 3D
MSHAreg <- scatterplot3d(
x1, x2, y,
angle = 60,
pch = 16,
color = "blue",
main = "Gráfica N°2: Comparación de la realidad
con el modelo multivariable lineal de la
severidad de lesiones, experiencia total
e índice de exposición al riesgo",
xlab = "Experiencia total (años)",
ylab = "Índice de exposición al riesgo",
zlab = "Severidad de la lesión"
)
# Plano de regresión
MSHA_reg$plane3d(regresion_multiple)
5 TEST DE APROBACION
TEST DE PEARSON
## [1] 97.39986COEFICIENTE DE DETERMINACION
## [1] 94.867326 CALCULO DE ESTIMACIONES
¿Qué severidad de lesión se espera con 10 años de experiencia total y un índice de riesgo de 5?
Sev_Est <- regresion_multiple$coefficients[1] +
regresion_multiple$coefficients[2] * 10 +
regresion_multiple$coefficients[3] * 5
Sev_Est## (Intercept)
## 40.5263plot(1, type = "n", axes = FALSE, xlab = "", ylab = "")
text(
x = 1, y = 1,
labels = paste(
"¿Qué severidad de lesión se espera\n",
"con 10 años de experiencia total\n",
"y un índice de riesgo de 5?\n",
"R =", round(Sev_Est, 2)
),
cex = 1.8,
col = "darkred",
font = 6
)
7 CONCLUSION
Entre la severidad de las lesiones y la combinación de la experiencia total del trabajador y el índice de exposición al riesgo existe una regresión múltiple lineal.
La severidad de las lesiones está influenciada en un 94.87% por la combinación de la experiencia total y el índice de exposición al riesgo, mientras que el porcentaje restante se debe a otros factores no considerados en el modelo, donde sí existen ciertas restricciones.
Por ejemplo, cuando un trabajador presenta 10 años de experiencia total y un índice de exposición al riesgo de 5, se espera una severidad de lesión aproximada de 40.53 puntos.