modelo logarítmico ENTRE EL SiO2 Y EL MgO
#Carga de datos
datos <- read.csv(
"D:/geoquimica.csv",
header = TRUE,
sep = ",",
dec = "."
)
#Carga de librerias
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, unionlibrary(knitr)
library(gt)
# Extraer y definir variables
area <- as.numeric(datos$SiO2_pct) #Variable independiente
toneladas <- as.numeric(datos$Cu_ppm) #Variable dependiente
#TABLA DE PARES DE VALORES
TPV <- data.frame(area, toneladas)
#LIMPIAR LOS VALORES NA,0 Y VALORES NEGATIVOS
TPV <- na.omit(TPV)
TPV <- TPV[
TPV$area > 0 &
TPV$toneladas > 0,
]
#ELIMINAR OUTLIERS
# OUTLIERS ÁREA
Q1_area <- quantile(TPV$area, 0.25)
Q3_area <- quantile(TPV$area, 0.75)
IQR_area <- Q3_area - Q1_area
lim_inf_area <- Q1_area - 1.5 * IQR_area
lim_sup_area <- Q3_area + 1.5 * IQR_area
# OUTLIERS TONELADAS
Q1_ton <- quantile(TPV$toneladas, 0.25)
Q3_ton <- quantile(TPV$toneladas, 0.75)
IQR_ton <- Q3_ton - Q1_ton
lim_inf_ton <- Q1_ton - 1.5 * IQR_ton
lim_sup_ton <- Q3_ton + 1.5 * IQR_ton
#TABLA SIN OUTLIERS
TPV_limpio <- TPV[
TPV$area >= lim_inf_area &
TPV$area <= lim_sup_area &
TPV$toneladas >= lim_inf_ton &
TPV$toneladas <= lim_sup_ton,
]
# Corresponder para una x una sola y
tabla_sup_1 <- aggregate(
toneladas ~ area,
data = TPV_limpio,
FUN = max
)
tabla_media_1 <- aggregate(
toneladas ~ area,
data = TPV_limpio,
FUN = mean
)
tabla_inf_1 <- aggregate(
toneladas ~ area,
data = TPV_limpio,
FUN = min
)
#TABLA DE PARES DE VALORES PARA UN TRAMO
TPV_FILTRADO <- TPV_limpio[
TPV_limpio$area < 120 &
TPV_limpio$toneladas < 120,
]
#Corresponder para una x una sola y
tabla_sup <- aggregate(
toneladas ~ area,
data = TPV_FILTRADO,
FUN = max
)
tabla_media <- aggregate(
toneladas ~ area,
data = TPV_FILTRADO,
FUN = mean
)
tabla_inf <- aggregate(
toneladas ~ area,
data = TPV_FILTRADO,
FUN = min
)
#TABLA DE PARES DE VALORES PARA EL TRAMO
tabla_inf## area toneladas
## 1 5.002 18.121
## 2 5.026 4.132
## 3 5.032 11.410
## 4 5.233 9.630
## 5 5.234 12.861
## 6 5.253 18.176
## 7 5.299 13.787
## 8 5.363 14.100
## 9 5.390 11.210
## 10 5.415 12.274
## 11 5.447 18.378
## 12 5.493 10.172
## 13 5.521 22.333
## 14 5.595 15.531
## 15 5.728 17.497
## 16 5.798 19.829
## 17 5.827 25.780
## 18 5.888 19.564
## 19 6.027 18.219
## 20 6.030 15.276
## 21 6.063 15.450
## 22 6.273 11.912
## 23 6.310 2.451
## 24 6.331 25.165
## 25 6.494 18.845
## 26 6.588 19.677
## 27 6.607 18.762
## 28 6.717 18.656
## 29 6.726 18.665
## 30 6.828 18.712
## 31 6.829 8.158
## 32 6.887 16.581
## 33 6.893 14.679
## 34 7.074 17.270
## 35 7.157 24.320
## 36 7.173 23.604
## 37 7.214 21.972
## 38 7.231 14.777
## 39 7.313 22.182
## 40 7.360 13.595
## 41 7.391 16.344
## 42 7.451 0.500
## 43 7.518 15.663
## 44 7.533 24.846
## 45 7.600 13.737
## 46 7.602 21.054
## 47 7.648 13.058
## 48 7.721 23.625
## 49 7.785 24.639
## 50 7.932 22.571
## 51 8.028 22.063
## 52 8.057 15.232
## 53 8.072 16.809
## 54 8.074 19.568
## 55 8.134 13.607
## 56 8.169 15.426
## 57 8.227 17.342
## 58 8.249 16.807
## 59 8.274 19.538
## 60 8.339 15.080
## 61 8.392 22.897
## 62 8.575 19.590
## 63 8.728 15.929
## 64 8.752 19.919
## 65 8.785 20.927
## 66 8.819 12.859
## 67 8.877 21.332
## 68 8.972 12.696
## 69 8.976 21.832
## 70 8.989 21.541
## 71 9.138 14.023
## 72 9.249 22.883
## 73 9.250 19.639
## 74 9.265 25.696
## 75 9.422 16.605
## 76 9.434 17.453
## 77 9.447 25.484
## 78 9.467 20.812
## 79 9.478 18.139
## 80 9.493 26.051
## 81 9.513 27.220
## 82 9.553 25.804
## 83 9.557 25.782
## 84 9.613 22.815
## 85 9.653 23.151
## 86 9.673 24.080
## 87 9.762 24.365
## 88 9.764 22.701
## 89 9.780 28.991
## 90 9.889 25.233
## 91 9.958 20.027
## 92 9.965 21.913
## 93 10.118 48.121
## 94 10.123 24.904
## 95 10.131 16.601
## 96 10.133 20.393
## 97 10.138 8.145
## 98 10.147 23.362
## 99 10.164 21.056
## 100 10.166 19.296
## 101 10.205 22.550
## 102 10.216 18.153
## 103 10.269 16.888
## 104 10.305 32.682
## 105 10.309 19.689
## 106 10.330 19.875
## 107 10.356 23.791
## 108 10.424 16.546
## 109 10.478 24.718
## 110 10.491 24.209
## 111 10.502 21.952
## 112 10.756 21.339
## 113 10.787 22.699
## 114 10.799 27.151
## 115 10.889 32.091
## 116 10.903 19.646
## 117 10.975 20.166
## 118 11.014 21.029
## 119 11.084 13.045
## 120 11.112 29.901
## 121 11.132 25.658
## 122 11.161 17.589
## 123 11.170 19.549
## 124 11.223 24.579
## 125 11.303 29.004
## 126 11.318 18.739
## 127 11.360 28.863
## 128 11.380 29.173
## 129 11.412 20.887
## 130 11.420 25.021
## 131 11.433 27.984
## 132 11.467 31.490
## 133 11.469 20.709
## 134 11.484 29.322
## 135 11.506 22.623
## 136 11.671 17.087
## 137 11.707 27.672
## 138 11.770 15.660
## 139 11.868 24.469
## 140 11.887 21.043
## 141 11.915 19.534
## 142 11.920 16.423
## 143 11.933 22.995
## 144 12.142 24.878
## 145 12.193 21.421
## 146 12.308 13.982
## 147 12.322 27.850
## 148 12.360 20.821
## 149 12.427 27.088
## 150 12.430 24.309
## 151 12.445 27.193
## 152 12.516 27.045
## 153 12.614 30.225
## 154 12.624 25.867
## 155 12.678 24.093
## 156 12.688 29.535
## 157 12.700 17.355
## 158 12.767 32.757
## 159 12.863 28.642
## 160 12.906 27.733
## 161 12.918 26.964
## 162 13.005 27.984
## 163 13.014 25.660
## 164 13.026 27.161
## 165 13.117 26.464
## 166 13.243 22.829
## 167 13.304 25.581
## 168 13.319 24.189
## 169 13.361 19.202
## 170 13.563 22.606
## 171 13.564 24.429
## 172 13.587 19.430
## 173 13.599 25.516
## 174 13.670 25.833
## 175 13.795 22.257
## 176 13.813 25.993
## 177 13.846 34.708
## 178 13.847 28.789
## 179 13.854 28.609
## 180 13.901 19.078
## 181 13.909 20.288
## 182 13.915 28.448
## 183 13.943 24.938
## 184 13.956 24.100
## 185 13.960 17.711
## 186 13.965 27.564
## 187 13.978 25.320
## 188 14.014 21.587
## 189 14.034 30.816
## 190 14.046 23.556
## 191 14.095 38.091
## 192 14.126 35.325
## 193 14.219 32.153
## 194 14.310 19.948
## 195 14.374 28.225
## 196 14.402 26.512
## 197 14.449 23.786
## 198 14.490 20.536
## 199 14.500 21.659
## 200 14.586 29.070
## 201 14.641 33.302
## 202 14.695 36.415
## 203 14.716 22.926
## 204 14.746 28.614
## 205 14.887 27.575
## 206 14.913 24.697
## 207 14.947 21.093
## 208 15.050 34.251
## 209 15.069 25.255
## 210 15.082 28.228
## 211 15.190 30.015
## 212 15.226 24.241
## 213 15.248 15.490
## 214 15.266 22.345
## 215 15.287 30.671
## 216 15.313 26.069
## 217 15.415 25.208
## 218 15.416 32.518
## 219 15.427 26.957
## 220 15.501 29.426
## 221 15.513 24.613
## 222 15.545 31.507
## 223 15.599 24.577
## 224 15.750 33.088
## 225 15.768 21.629
## 226 15.875 23.494
## 227 15.927 22.871
## 228 15.935 35.878
## 229 16.109 28.075
## 230 16.154 18.095
## 231 16.238 17.850
## 232 16.323 26.666
## 233 16.384 29.269
## 234 16.425 27.022
## 235 16.483 21.303
## 236 16.507 30.571
## 237 16.523 28.502
## 238 16.550 34.938
## 239 16.686 21.741
## 240 16.700 27.386
## 241 16.764 24.804
## 242 16.833 22.464
## 243 16.868 23.490
## 244 16.880 28.678
## 245 16.929 16.817
## 246 16.934 27.523
## 247 16.959 31.787
## 248 17.115 26.356
## 249 17.139 37.028
## 250 17.147 25.248
## 251 17.184 24.329
## 252 17.228 29.553
## 253 17.245 27.736
## 254 17.316 26.487
## 255 17.361 26.996
## 256 17.396 20.577
## 257 17.431 27.408
## 258 17.477 25.146
## 259 17.509 26.030
## 260 17.551 28.247
## 261 17.553 32.866
## 262 17.593 32.929
## 263 17.676 23.643
## 264 17.772 28.414
## 265 17.844 21.789
## 266 17.875 26.059
## 267 17.980 33.894
## 268 17.983 25.273
## 269 18.037 29.024
## 270 18.107 25.819
## 271 18.204 25.383
## 272 18.248 29.843
## 273 18.301 26.558
## 274 18.320 34.232
## 275 18.332 39.108
## 276 18.340 35.142
## 277 18.351 26.828
## 278 18.392 24.370
## 279 18.411 27.731
## 280 18.443 14.127
## 281 18.464 2.947
## 282 18.475 25.324
## 283 18.493 22.380
## 284 18.560 26.056
## 285 18.568 26.234
## 286 18.600 24.866
## 287 18.642 29.301
## 288 18.644 35.815
## 289 18.672 21.252
## 290 18.733 27.504
## 291 18.759 23.183
## 292 18.778 18.773
## 293 18.817 23.710
## 294 18.863 30.609
## 295 18.872 29.177
## 296 19.009 17.695
## 297 19.058 31.590
## 298 19.063 24.924
## 299 19.075 27.254
## 300 19.167 28.338
## 301 19.168 39.396
## 302 19.184 29.981
## 303 19.387 22.054
## 304 19.412 30.489
## 305 19.417 32.363
## 306 19.445 18.741
## 307 19.466 28.888
## 308 19.469 22.645
## 309 19.545 27.712
## 310 19.672 29.846
## 311 19.755 29.114
## 312 19.756 28.388
## 313 19.813 23.857
## 314 19.821 31.776
## 315 19.925 28.470
## 316 19.948 27.287
## 317 19.988 35.185
## 318 20.093 33.316
## 319 20.196 29.845
## 320 20.224 32.383
## 321 20.361 26.631
## 322 20.362 29.504
## 323 20.368 22.841
## 324 20.404 27.168
## 325 20.736 40.250
## 326 20.739 19.793
## 327 20.775 14.933
## 328 20.804 22.831
## 329 20.854 27.374
## 330 20.920 18.876
## 331 20.922 31.961
## 332 20.943 37.550
## 333 20.962 25.687
## 334 21.010 26.394
## 335 21.069 26.522
## 336 21.284 40.332
## 337 21.289 24.941
## 338 21.389 20.778
## 339 21.470 38.659
## 340 21.473 27.987
## 341 21.485 31.043
## 342 21.488 30.068
## 343 21.501 26.150
## 344 21.507 27.005
## 345 21.534 34.859
## 346 21.694 35.745
## 347 21.733 26.359
## 348 21.784 22.681
## 349 21.791 28.810
## 350 21.817 26.274
## 351 21.821 25.511
## 352 21.839 28.034
## 353 21.867 33.271
## 354 21.880 26.854
## 355 21.902 34.023
## 356 21.941 37.435
## 357 22.010 29.392
## 358 22.127 21.256
## 359 22.208 18.358
## 360 22.216 26.079
## 361 22.288 30.909
## 362 22.335 46.541
## 363 22.345 26.261
## 364 22.375 30.186
## 365 22.417 25.213
## 366 22.514 37.023
## 367 22.515 28.212
## 368 22.526 22.743
## 369 22.567 35.472
## 370 22.579 28.644
## 371 22.652 21.435
## 372 22.712 30.385
## 373 22.727 28.773
## 374 22.804 21.512
## 375 22.882 25.906
## 376 22.959 21.866
## 377 22.972 19.395
## 378 22.983 27.443
## 379 22.995 20.107
## 380 22.996 17.900
## 381 23.068 37.277
## 382 23.071 29.596
## 383 23.088 24.209
## 384 23.117 34.614
## 385 23.150 25.566
## 386 23.195 21.667
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## 388 23.402 30.317
## 389 23.449 29.940
## 390 23.496 36.802
## 391 23.507 28.715
## 392 23.606 31.063
## 393 23.641 18.998
## 394 23.644 30.931
## 395 23.683 24.733
## 396 23.706 32.247
## 397 23.723 35.717
## 398 23.734 35.407
## 399 23.770 17.885
## 400 23.805 36.075
## 401 23.808 20.069
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## 403 23.818 30.605
## 404 23.872 38.323
## 405 23.879 34.623
## 406 23.913 27.697
## 407 24.021 25.715
## 408 24.032 31.406
## 409 24.086 32.503
## 410 24.128 22.264
## 411 24.129 28.465
## 412 24.170 24.019
## 413 24.177 19.888
## 414 24.252 29.018
## 415 24.277 38.877
## 416 24.302 23.740
## 417 24.304 28.436
## 418 24.352 32.951
## 419 24.357 24.994
## 420 24.366 34.544
## 421 24.377 32.354
## 422 24.389 34.945
## 423 24.483 23.596
## 424 24.561 18.581
## 425 24.599 23.562
## 426 24.633 39.656
## 427 24.679 30.309
## 428 24.833 29.960
## 429 24.989 21.982
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## 431 25.120 23.510
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## 435 25.380 22.661
## 436 25.494 32.395
## 437 25.609 27.251
## 438 25.649 29.498
## 439 25.672 39.734
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## 442 25.889 28.639
## 443 25.906 28.502
## 444 25.926 31.898
## 445 25.961 33.288
## 446 25.979 32.537
## 447 26.029 30.261
## 448 26.039 25.215
## 449 26.100 31.009
## 450 26.109 32.166
## 451 26.309 27.682
## 452 26.347 22.126
## 453 26.366 27.006
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## 459 26.491 27.958
## 460 26.570 28.021
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## 462 26.888 32.685
## 463 26.911 27.093
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## 465 27.011 29.359
## 466 27.015 27.039
## 467 27.018 31.841
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## 471 27.119 21.956
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## 473 27.137 29.052
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## 486 28.025 31.988
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## 495 28.580 34.678
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## 497 28.609 18.933
## 498 28.627 37.843
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## 500 28.663 17.629
## 501 28.706 29.244
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## 517 29.311 29.209
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## 519 29.366 36.552
## 520 29.414 31.050
## 521 29.454 18.933
## 522 29.543 22.598
## 523 29.599 29.214
## 524 29.607 16.561
## 525 29.665 33.285
## 526 29.721 26.948
## 527 29.722 19.578
## 528 29.723 24.498
## 529 29.827 23.491
## 530 29.855 18.538
## 531 30.057 30.068
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## 533 30.060 34.182
## 534 30.128 28.277
## 535 30.133 18.698
## 536 30.166 20.081
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## 540 30.276 20.748
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## 570 32.075 30.905
## 571 32.200 30.440
## 572 32.252 26.700
## 573 32.379 25.705
## 574 32.430 24.828
## 575 32.543 23.297
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## 577 32.775 32.303
## 578 32.846 30.310
## 579 32.870 32.534
## 580 32.916 32.771
## 581 33.018 30.328
## 582 33.162 31.321
## 583 33.169 35.605
## 584 33.192 45.770
## 585 33.242 25.855
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## 589 33.494 24.090
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## 591 33.600 29.386
## 592 33.602 41.926
## 593 33.624 38.932
## 594 33.625 27.995
## 595 33.700 32.285
## 596 33.742 30.714
## 597 33.782 31.564
## 598 33.869 47.308
## 599 33.934 31.783
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## 601 34.017 36.031
## 602 34.096 34.908
## 603 34.241 37.141
## 604 34.250 25.594
## 605 34.268 22.365
## 606 34.342 26.129
## 607 34.349 25.150
## 608 34.428 37.402
## 609 34.462 26.442
## 610 34.549 32.961
## 611 34.553 21.116
## 612 34.622 35.017
## 613 34.626 28.484
## 614 34.652 30.609
## 615 34.741 36.685
## 616 34.752 23.016
## 617 34.831 32.670
## 618 34.861 33.024
## 619 34.920 30.356
## 620 34.962 21.536
## 621 35.074 39.345
## 622 35.092 34.081
## 623 35.162 27.472
## 624 35.222 27.950
## 625 35.282 22.251
## 626 35.302 21.522
## 627 35.305 26.280
## 628 35.354 32.336
## 629 35.459 37.758
## 630 35.471 24.217
## 631 35.514 37.107
## 632 35.553 23.075
## 633 35.579 25.835
## 634 35.638 32.327
## 635 35.680 29.147
## 636 35.707 38.825
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## 638 36.034 35.802
## 639 36.139 32.541
## 640 36.203 31.106
## 641 36.224 39.792
## 642 36.240 42.569
## 643 36.273 29.093
## 644 36.301 30.797
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## 646 36.488 31.869
## 647 36.511 27.199
## 648 36.544 29.389
## 649 36.549 30.519
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## 652 36.649 28.696
## 653 36.662 30.493
## 654 36.670 33.339
## 655 36.689 26.885
## 656 36.702 35.231
## 657 36.765 22.762
## 658 36.867 34.228
## 659 36.868 36.721
## 660 36.894 43.152
## 661 36.906 26.056
## 662 36.935 27.727
## 663 36.980 31.532
## 664 37.191 35.502
## 665 37.206 40.414
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## 670 37.393 24.352
## 671 37.432 32.858
## 672 37.435 28.950
## 673 37.468 37.182
## 674 37.522 38.215
## 675 37.524 25.792
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## 677 37.580 38.014
## 678 37.753 40.410
## 679 37.829 46.739
## 680 37.878 20.000
## 681 37.961 32.092
## 682 37.968 35.888
## 683 37.986 30.774
## 684 38.024 24.433
## 685 38.040 26.533
## 686 38.100 27.794
## 687 38.110 32.551
## 688 38.193 38.466
## 689 38.307 22.822
## 690 38.311 31.458
## 691 38.323 31.297
## 692 38.349 27.631
## 693 38.359 36.473
## 694 38.481 24.601
## 695 38.482 21.063
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## 1610 79.601 73.718
## 1611 79.604 80.800
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## 1831 90.280 73.529
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## 1834 90.324 77.132
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## 1839 90.539 76.877
## 1840 90.544 67.843
## 1841 90.563 76.103
## 1842 90.691 94.218
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## 1844 90.841 85.098
## 1845 90.880 92.873
## 1846 90.882 66.981
## 1847 90.916 84.365
## 1848 90.920 74.829
## 1849 90.940 92.075
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## 1851 91.064 87.695
## 1852 91.165 71.652
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## 1854 91.213 84.108
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## 1859 91.443 81.038
## 1860 91.487 81.966
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## 1862 91.582 79.227
## 1863 91.683 72.890
## 1864 91.780 89.914
## 1865 91.785 82.125
## 1866 91.804 77.899
## 1867 91.813 93.415
## 1868 91.917 102.353
## 1869 92.249 91.887
## 1870 92.346 80.800
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## 1872 92.587 84.942
## 1873 92.643 87.305
## 1874 92.703 75.221
## 1875 92.768 98.138
## 1876 92.780 83.272
## 1877 92.813 90.882
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## 1879 92.877 84.935
## 1880 92.996 82.595
## 1881 93.011 76.482
## 1882 93.058 87.836
## 1883 93.211 71.022
## 1884 93.310 82.824
## 1885 93.563 67.161
## 1886 93.575 75.172
## 1887 93.587 96.283
## 1888 93.590 81.224
## 1889 93.610 86.725
## 1890 93.668 99.002
## 1891 93.690 66.776
## 1892 93.703 97.701
## 1893 93.714 90.827
## 1894 93.744 62.868
## 1895 93.857 85.218
## 1896 93.897 92.410
## 1897 93.987 76.893
## 1898 94.045 74.260
## 1899 94.063 62.953
## 1900 94.068 68.725
## 1901 94.097 87.715
## 1902 94.110 73.372
## 1903 94.160 97.533
## 1904 94.212 84.369
## 1905 94.283 85.552
## 1906 94.314 91.618
## 1907 94.422 90.229
## 1908 94.442 79.237
## 1909 94.453 100.293
## 1910 94.454 89.450
## 1911 94.476 86.193
## 1912 94.515 88.858
## 1913 94.519 81.843
## 1914 94.566 82.214
## 1915 94.608 79.264
## 1916 94.663 89.605
## 1917 94.681 85.359
## 1918 94.701 72.624
## 1919 94.814 82.010
## 1920 94.889 90.582
## 1921 94.905 84.148
## 1922 94.964 82.723
## 1923 95.040 72.862
## 1924 95.089 87.077
## 1925 95.168 81.927
## 1926 95.175 76.017
## 1927 95.289 81.738
## 1928 95.340 83.733
## 1929 95.377 98.172
## 1930 95.526 75.105
## 1931 95.530 79.561
## 1932 95.543 98.291
## 1933 95.611 102.826
## 1934 95.616 90.599
## 1935 95.622 77.072
## 1936 95.643 69.245
## 1937 95.658 83.146
## 1938 95.673 81.683
## 1939 95.804 81.057
## 1940 95.807 87.910
## 1941 95.834 85.847
## 1942 95.854 91.423
## 1943 95.855 89.427
## 1944 95.895 85.823
## 1945 95.900 67.995
## 1946 96.027 82.409
## 1947 96.032 88.047
## 1948 96.055 76.845
## 1949 96.093 79.372
## 1950 96.118 93.690
## 1951 96.121 75.676
## 1952 96.171 89.768
## 1953 96.190 84.498
## 1954 96.232 84.703
## 1955 96.297 88.959
## 1956 96.359 71.702
## 1957 96.386 95.827
## 1958 96.469 75.813
## 1959 96.489 90.997
## 1960 96.512 84.691
## 1961 96.565 76.773
## 1962 96.568 81.594
## 1963 96.621 84.405
## 1964 96.655 91.732
## 1965 96.663 76.002
## 1966 96.763 104.262
## 1967 96.811 89.283
## 1968 96.897 89.951
## 1969 96.899 81.171
## 1970 96.908 108.394
## 1971 96.945 64.325
## 1972 97.039 92.390
## 1973 97.085 83.693
## 1974 97.093 69.095
## 1975 97.096 94.857
## 1976 97.097 86.197
## 1977 97.151 77.796
## 1978 97.178 91.511
## 1979 97.187 97.686
## 1980 97.202 84.319
## 1981 97.252 100.158
## 1982 97.282 100.282
## 1983 97.286 95.172
## 1984 97.507 93.174
## 1985 97.574 49.620
## 1986 97.631 85.347
## 1987 97.766 76.221
## 1988 97.829 88.630
## 1989 97.851 71.185
## 1990 97.959 82.489
## 1991 97.996 74.377
## 1992 98.007 88.717
## 1993 98.020 80.822
## 1994 98.027 85.252
## 1995 98.086 80.725
## 1996 98.100 92.740
## 1997 98.168 93.477
## 1998 98.210 85.626
## 1999 98.237 80.397
## 2000 98.294 83.841
## 2001 98.373 86.266
## 2002 98.406 82.571
## 2003 98.451 83.233
## 2004 98.471 91.829
## 2005 98.515 75.664
## 2006 98.542 90.665
## 2007 98.572 79.006
## 2008 98.603 86.587
## 2009 98.678 96.340
## 2010 98.697 83.964
## 2011 98.725 78.078
## 2012 98.734 90.730
## 2013 98.794 99.121
## 2014 98.945 91.659
## 2015 98.964 113.560
## 2016 98.965 92.068
## 2017 99.088 93.926
## 2018 99.139 103.598
## 2019 99.172 87.743
## 2020 99.194 96.374
## 2021 99.223 103.661
## 2022 99.265 92.126
## 2023 99.351 89.887
## 2024 99.352 107.605
## 2025 99.361 83.841
## 2026 99.374 90.171
## 2027 99.420 93.946
## 2028 99.519 92.033
## 2029 99.554 89.709
## 2030 99.555 91.263
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## 2032 99.584 97.069
## 2033 99.645 95.185
## 2034 99.664 92.923
## 2035 99.710 81.304
## 2036 99.796 91.622
## 2037 99.816 85.241
## 2038 99.824 90.737
## 2039 99.825 85.157
## 2040 99.844 86.221
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## 2043 100.018 93.884
## 2044 100.096 80.961
## 2045 100.115 94.565
## 2046 100.246 98.634
## 2047 100.252 94.756
## 2048 100.268 78.530
## 2049 100.271 81.109
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## 2053 100.515 94.098
## 2054 100.622 96.827
## 2055 100.640 105.670
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## 2070 101.266 92.649
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## 2073 101.298 94.500
## 2074 101.339 92.966
## 2075 101.389 92.086
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## 2077 101.410 105.328
## 2078 101.435 89.253
## 2079 101.458 94.949
## 2080 101.507 87.970
## 2081 101.516 90.765
## 2082 101.518 101.228
## 2083 101.522 88.150
## 2084 101.541 95.263
## 2085 101.567 94.013
## 2086 101.583 99.192
## 2087 101.614 97.740
## 2088 101.685 100.747
## 2089 101.736 97.835
## 2090 101.758 96.212
## 2091 101.763 88.308
## 2092 101.838 105.934
## 2093 101.917 90.384
## 2094 102.069 91.150
## 2095 102.108 89.074
## 2096 102.112 100.060
## 2097 102.124 91.425
## 2098 102.151 85.115
## 2099 102.164 98.499
## 2100 102.204 73.725
## 2101 102.287 100.985
## 2102 102.336 100.087
## 2103 102.349 98.335
## 2104 102.393 110.835
## 2105 102.404 88.710
## 2106 102.432 99.105
## 2107 102.461 86.720
## 2108 102.493 98.735
## 2109 102.504 105.011
## 2110 102.563 89.799
## 2111 102.571 86.873
## 2112 102.652 107.998
## 2113 102.665 99.943
## 2114 102.702 92.648
## 2115 102.717 103.706
## 2116 102.746 96.351
## 2117 102.835 93.871
## 2118 102.875 87.298
## 2119 102.942 97.501
## 2120 103.097 86.222
## 2121 103.174 112.501
## 2122 103.241 88.766
## 2123 103.259 97.643
## 2124 103.382 101.437
## 2125 103.420 106.049
## 2126 103.429 88.008
## 2127 103.462 100.106
## 2128 103.466 84.061
## 2129 103.552 87.306
## 2130 103.582 85.500
## 2131 103.636 102.990
## 2132 103.666 109.451
## 2133 103.715 96.542
## 2134 103.862 106.385
## 2135 103.961 108.610
## 2136 103.980 102.980
## 2137 104.058 80.535
## 2138 104.068 91.504
## 2139 104.149 106.044
## 2140 104.251 93.152
## 2141 104.266 116.388
## 2142 104.284 105.103
## 2143 104.357 77.316
## 2144 104.378 94.972
## 2145 104.444 108.766
## 2146 104.455 89.724
## 2147 104.505 91.903
## 2148 104.529 88.695
## 2149 104.555 106.396
## 2150 104.660 85.567
## 2151 104.665 99.853
## 2152 104.702 102.995
## 2153 104.765 93.990
## 2154 104.780 93.409
## 2155 104.789 96.067
## 2156 104.804 85.995
## 2157 104.937 95.450
## 2158 105.078 100.822
## 2159 105.118 97.316
## 2160 105.241 91.995
## 2161 105.281 103.217
## 2162 105.360 85.995
## 2163 105.386 105.162
## 2164 105.492 118.454
## 2165 105.493 90.396
## 2166 105.507 76.159
## 2167 105.546 89.033
## 2168 105.559 107.387
## 2169 105.663 102.364
## 2170 105.695 104.928
## 2171 105.769 100.693
## 2172 105.853 109.166
## 2173 106.028 100.304
## 2174 106.066 111.677
## 2175 106.122 103.826
## 2176 106.134 115.963
## 2177 106.476 104.943
## 2178 106.561 87.815
## 2179 106.578 92.486
## 2180 106.660 92.005
## 2181 106.668 106.718
## 2182 106.690 104.859
## 2183 106.724 80.402
## 2184 106.725 107.245
## 2185 106.737 110.744
## 2186 106.761 91.190
## 2187 106.877 95.629
## 2188 106.884 103.298
## 2189 106.890 87.460
## 2190 106.921 91.418
## 2191 107.013 88.619
## 2192 107.020 104.119
## 2193 107.183 100.019
## 2194 107.243 106.657
## 2195 107.302 102.316
## 2196 107.462 98.088
## 2197 107.497 93.343
## 2198 107.513 92.681
## 2199 107.535 104.333
## 2200 107.609 101.055
## 2201 107.646 111.737
## 2202 107.647 111.982
## 2203 107.704 92.184
## 2204 107.801 110.677
## 2205 107.870 103.345
## 2206 108.033 91.206
## 2207 108.119 118.890
## 2208 108.211 92.155
## 2209 108.226 97.751
## 2210 108.236 95.391
## 2211 108.311 106.590
## 2212 108.339 104.657
## 2213 108.351 109.514
## 2214 108.396 103.635
## 2215 108.416 95.484
## 2216 108.417 105.167
## 2217 108.456 114.152
## 2218 108.517 99.810
## 2219 108.592 96.046
## 2220 108.638 99.146
## 2221 108.737 107.159
## 2222 108.810 99.311
## 2223 108.821 106.603
## 2224 108.892 73.321
## 2225 108.893 109.666
## 2226 108.939 106.449
## 2227 109.169 111.901
## 2228 109.210 94.980
## 2229 109.239 110.196
## 2230 109.248 110.582
## 2231 109.280 101.498
## 2232 109.292 95.528
## 2233 109.329 96.575
## 2234 109.350 104.060
## 2235 109.351 102.261
## 2236 109.369 89.998
## 2237 109.404 101.301
## 2238 109.465 102.633
## 2239 109.470 110.294
## 2240 109.594 96.663
## 2241 109.614 101.716
## 2242 109.672 91.219
## 2243 109.751 109.151
## 2244 109.768 110.274
## 2245 109.885 110.972
## 2246 109.893 101.653
## 2247 110.026 89.785
## 2248 110.041 102.925
## 2249 110.042 103.372
## 2250 110.059 108.759
## 2251 110.060 110.174
## 2252 110.135 104.126
## 2253 110.154 102.998
## 2254 110.186 95.902
## 2255 110.252 101.932
## 2256 110.336 97.619
## 2257 110.493 95.793
## 2258 110.581 95.549
## 2259 110.622 106.337
## 2260 110.634 109.845
## 2261 110.639 110.963
## 2262 110.695 98.458
## 2263 110.716 85.357
## 2264 110.758 110.858
## 2265 110.760 113.095
## 2266 110.763 91.940
## 2267 110.770 97.401
## 2268 110.791 104.078
## 2269 110.906 102.504
## 2270 110.964 105.143
## 2271 111.068 108.970
## 2272 111.099 89.604
## 2273 111.181 99.470
## 2274 111.184 114.621
## 2275 111.372 112.177
## 2276 111.406 74.336
## 2277 111.441 102.848
## 2278 111.480 105.994
## 2279 111.539 93.217
## 2280 111.559 118.750
## 2281 111.584 108.728
## 2282 111.594 101.250
## 2283 111.604 108.389
## 2284 111.636 101.468
## 2285 111.645 109.213
## 2286 111.691 94.512
## 2287 111.692 99.228
## 2288 111.702 119.277
## 2289 111.719 102.789
## 2290 111.767 100.532
## 2291 111.816 104.162
## 2292 111.844 110.625
## 2293 111.849 117.305
## 2294 111.869 88.115
## 2295 111.917 106.542
## 2296 112.076 114.840
## 2297 112.161 110.721
## 2298 112.164 103.783
## 2299 112.226 107.865
## 2300 112.336 107.581
## 2301 112.426 97.397
## 2302 112.427 117.621
## 2303 112.434 94.865
## 2304 112.449 93.933
## 2305 112.520 98.069
## 2306 112.525 85.376
## 2307 112.617 111.560
## 2308 112.667 99.619
## 2309 112.713 66.134
## 2310 112.804 87.683
## 2311 112.827 97.637
## 2312 112.866 109.062
## 2313 112.939 100.894
## 2314 112.960 113.848
## 2315 113.051 103.250
## 2316 113.060 105.684
## 2317 113.063 99.561
## 2318 113.070 96.280
## 2319 113.145 105.041
## 2320 113.179 109.307
## 2321 113.182 99.893
## 2322 113.203 104.441
## 2323 113.364 102.396
## 2324 113.365 81.423
## 2325 113.373 99.735
## 2326 113.424 99.501
## 2327 113.502 99.828
## 2328 113.508 86.207
## 2329 113.536 88.138
## 2330 113.592 95.635
## 2331 113.615 106.922
## 2332 113.620 112.172
## 2333 113.642 111.105
## 2334 113.761 104.113
## 2335 113.767 115.349
## 2336 113.885 95.173
## 2337 113.900 119.291
## 2338 113.920 110.893
## 2339 113.923 102.929
## 2340 113.981 101.656
## 2341 114.001 107.647
## 2342 114.149 81.838
## 2343 114.154 89.431
## 2344 114.279 84.488
## 2345 114.345 101.113
## 2346 114.354 84.360
## 2347 114.592 114.612
## 2348 114.602 100.373
## 2349 114.652 85.928
## 2350 114.672 103.856
## 2351 114.792 99.596
## 2352 114.858 92.776
## 2353 114.968 114.690
## 2354 115.020 111.624
## 2355 115.021 108.081
## 2356 115.022 114.677
## 2357 115.102 99.216
## 2358 115.243 104.129
## 2359 115.252 106.322
## 2360 115.256 105.532
## 2361 115.261 99.745
## 2362 115.381 110.667
## 2363 115.489 112.127
## 2364 115.499 109.578
## 2365 115.508 111.287
## 2366 115.511 112.043
## 2367 115.570 101.287
## 2368 115.620 109.963
## 2369 115.765 100.651
## 2370 115.767 95.351
## 2371 115.933 114.219
## 2372 115.996 119.957
## 2373 116.044 96.353
## 2374 116.059 118.054
## 2375 116.161 114.539
## 2376 116.233 108.756
## 2377 116.243 113.214
## 2378 116.297 101.340
## 2379 116.412 91.878
## 2380 116.459 107.684
## 2381 116.669 118.633
## 2382 116.723 101.970
## 2383 116.854 102.301
## 2384 116.913 112.401
## 2385 116.983 90.421
## 2386 116.988 111.795
## 2387 117.016 103.528
## 2388 117.041 103.319
## 2389 117.131 110.227
## 2390 117.174 100.902
## 2391 117.226 107.120
## 2392 117.272 96.110
## 2393 117.360 106.871
## 2394 117.368 113.866
## 2395 117.457 117.523
## 2396 117.472 110.661
## 2397 117.477 100.094
## 2398 117.548 99.541
## 2399 117.549 101.333
## 2400 117.595 105.495
## 2401 117.659 102.227
## 2402 117.670 109.539
## 2403 117.730 107.501
## 2404 117.766 109.730
## 2405 117.990 108.392
## 2406 118.043 108.735
## 2407 118.045 109.137
## 2408 118.059 108.463
## 2409 118.072 93.542
## 2410 118.123 99.480
## 2411 118.177 110.593
## 2412 118.209 106.251
## 2413 118.251 95.097
## 2414 118.296 118.595
## 2415 118.344 110.128
## 2416 118.400 115.928
## 2417 118.484 102.069
## 2418 118.499 103.432
## 2419 118.501 97.150
## 2420 118.630 109.785
## 2421 118.670 103.994
## 2422 118.692 106.189
## 2423 118.755 105.583
## 2424 118.765 106.955
## 2425 118.813 116.249
## 2426 118.954 95.754
## 2427 118.966 95.780
## 2428 119.059 110.050
## 2429 119.074 98.626
## 2430 119.088 111.891
## 2431 119.111 119.176
## 2432 119.151 73.904
## 2433 119.170 113.433
## 2434 119.179 96.724
## 2435 119.301 105.865
## 2436 119.327 102.436
## 2437 119.402 115.505
## 2438 119.426 98.666
## 2439 119.562 93.800
## 2440 119.633 85.371
## 2441 119.656 96.272
## 2442 119.659 94.106
## 2443 119.664 104.595
## 2444 119.679 85.308
## 2445 119.787 107.336
## 2446 119.798 96.164
## 2447 119.815 108.451
## 2448 119.855 98.214
## 2449 119.880 116.467
## 2450 119.884 111.983
## 2451 119.951 100.687
## 2452 119.966 95.183#Obtener las variables de la tabla
x <- tabla_inf$area #Variable independiente
y <- tabla_inf$toneladas #Variable dependiente
#Diagrama de dispersion para un tramo
plot(
x,
y,
pch = 16,
col = "blue",
main = "Grafica N°1 :Diagrama de disperción entre el porcentaje de sílice
y la concentración de cobre en muestras geoquímicas",
xlab = "SiO2 (%)",
ylab = "Concentración de Cu (ppm)"
)
#Diagrama de dispersión
plot(
x,
y,
pch = 16,
col = "blue",
main = "Grafica N°2 : Comparación de la realidad con el modelo potencial
entre el porcentaje de sílice y la concentración de cobre
en muestras geoquímicas",
xlab = "SiO2 (%)",
ylab = "Concentración de Cu (ppm)"
)
# Parámetros potenciales
x1 <- log(x)
y1 <- log(y)
regresion_Potencial <- lm(y1 ~ x1)
regresion_Potencial##
## Call:
## lm(formula = y1 ~ x1)
##
## Coefficients:
## (Intercept) x1
## 1.1265 0.7239##
## Call:
## lm(formula = y1 ~ x1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -3.2735 -0.1001 0.0302 0.1292 1.0719
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.126549 0.025562 44.07 <2e-16 ***
## x1 0.723864 0.006398 113.13 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2289 on 2450 degrees of freedom
## Multiple R-squared: 0.8393, Adjusted R-squared: 0.8393
## F-statistic: 1.28e+04 on 1 and 2450 DF, p-value: < 2.2e-16beta0 <- regresion_Potencial$coefficients[1]
beta1 <- regresion_Potencial$coefficients[2]
b <- beta1
b## x1
## 0.7238638## (Intercept)
## 3.084992
## [1] 91.61506## (Intercept)
## 59.75762plot(
1,
type = "n",
axes = FALSE,
xlab = "",
ylab = ""
)
text(
x = 1,
y = 1,
labels = paste(
"¿Cual seria la concentración de Cu si se tiene\n",
"un contenido de SiO2 igual a 60%?\n",
"\n R=",
round(T_Esp, 2),
" ppm"
),
cex = 2,
col = "blue",
font = 6
)
conclucion
“Entre el porcentaje de sílice y la concentración de cobre existe una relación potencial donde el modelo es:
f(x)=a*x^b
siendo “x” el porcentaje de SiO2 y “y” la concentración de Cu en ppm.”
“Ejemplo: Cuando el contenido de SiO2 es 60% se espera una concentración aproximada de cobre igual al valor calculado en T_Esp.”