Modelo Logarítmico – Gravedad de Lesiones por Fatiga

1 CARGA DE LIBRERÍAS Y DATOS

library(readxl)
library(dplyr)

## 
## Attaching package: 'dplyr'

## The following objects are masked from 'package:stats':
## 
##     filter, lag

## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union

library(knitr)
library(gt)
ruta <- "C:/Users/juner/OneDrive/Desktop/r/5000_Datos (1).xlsx"
datos <- read_excel(ruta)
horas  <- as.numeric(datos$CUMULATIVE_WORK_HOURS)
impacto <- as.numeric(datos$INJURY_IMPACT_SCORE)

TPV <- data.frame(
  horas   = horas,
  impacto = impacto
)

TPV <- na.omit(TPV)
TPV <- TPV[TPV$horas > 0 & TPV$impacto > 0, ]
Q1_horas  <- quantile(TPV$horas, 0.25)
Q3_horas  <- quantile(TPV$horas, 0.75)
IQR_horas <- Q3_horas - Q1_horas

lim_inf_horas <- Q1_horas - 1.5 * IQR_horas
lim_sup_horas <- Q3_horas + 1.5 * IQR_horas
Q1_impacto  <- quantile(TPV$impacto, 0.25)
Q3_impacto  <- quantile(TPV$impacto, 0.75)
IQR_impacto <- Q3_impacto - Q1_impacto

lim_inf_impacto <- Q1_impacto - 1.5 * IQR_impacto
lim_sup_impacto <- Q3_impacto + 1.5 * IQR_impacto

TPV_limpio <- TPV[
  TPV$horas >= lim_inf_horas & TPV$horas <= lim_sup_horas &
  TPV$impacto >= lim_inf_impacto & TPV$impacto <= lim_sup_impacto,
]

dim(TPV_limpio)

## [1] 4717    2

summary(TPV_limpio)

##      horas            impacto      
##  Min.   :  56.58   Min.   : 96.61  
##  1st Qu.: 871.95   1st Qu.:133.50  
##  Median :1586.58   Median :145.90  
##  Mean   :1581.80   Mean   :143.26  
##  3rd Qu.:2301.25   3rd Qu.:155.14  
##  Max.   :2999.55   Max.   :187.48

2 TABLA DE VALORES

tabla_media <- aggregate(impacto ~ horas,
                         data = TPV_limpio,
                         FUN = mean)

tabla_media

##           horas   impacto
## 1      56.57632  96.71891
## 2      59.87232  96.61337
## 3      79.88241  98.52682
## 4      81.63047  99.68427
## 5      84.60051  98.65903
## 6      91.97052 101.37470
## 7      92.79654  99.18276
## 8      94.11096  99.26265
## 9      95.04505 109.34732
## 10     98.38427  98.57883
## 11     98.44999 101.09147
## 12     98.58076 100.52619
## 13     99.21778 115.10472
## 14    100.61086  98.94804
## 15    101.09525 105.19865
## 16    102.13839  96.82601
## 17    102.94714 106.22659
## 18    103.31044 103.96220
## 19    103.79805 105.60089
## 20    104.40623  97.79267
## 21    105.82448  99.99228
## 22    106.68543  97.18518
## 23    107.73588 101.78370
## 24    109.07036  98.29075
## 25    110.05742  99.29153
## 26    110.45092  97.18134
## 27    110.55422  96.61116
## 28    110.57973  97.15066
## 29    111.31068 100.69104
## 30    112.75321 100.17869
## 31    114.31460  99.76565
## 32    116.98393 104.72807
## 33    117.68645 111.42512
## 34    118.07834 100.83108
## 35    119.73435 106.27772
## 36    122.77888 101.47498
## 37    125.03900 107.49472
## 38    125.05617 103.97181
## 39    125.88137 100.39177
## 40    126.07546 105.16000
## 41    128.40749 109.45872
## 42    129.25851  96.64283
## 43    129.30764 100.41452
## 44    129.63590 108.32100
## 45    131.34721 100.88460
## 46    132.41820 108.06326
## 47    132.49566  99.87481
## 48    133.68636 102.01352
## 49    134.35942  98.72292
## 50    135.16663 107.57617
## 51    135.24017  97.77098
## 52    135.44352 105.23041
## 53    135.86896 109.92257
## 54    136.95369  99.01443
## 55    137.03906 100.57191
## 56    137.11931 109.61804
## 57    137.76640  97.22265
## 58    139.09992  97.96043
## 59    141.36215 102.37887
## 60    142.93238 106.69887
## 61    143.95169 103.93929
## 62    145.47713 100.80690
## 63    148.24889 101.80233
## 64    149.91641 109.26793
## 65    151.68406  99.97891
## 66    152.22729 112.57358
## 67    152.32723  99.62098
## 68    152.40474 105.36293
## 69    152.89933 100.65450
## 70    153.23684 108.66348
## 71    153.72981 107.26503
## 72    154.52169 100.52986
## 73    154.61504 106.37201
## 74    156.55504 106.38810
## 75    157.18462  98.39264
## 76    158.29994 100.49640
## 77    159.10022 115.42573
## 78    159.41122 101.22394
## 79    161.16201 103.29087
## 80    162.05358 105.31052
## 81    162.09041 105.62211
## 82    162.66214  98.22394
## 83    163.30310  99.48586
## 84    163.33807 110.33071
## 85    163.56101 115.73679
## 86    164.46481 110.55625
## 87    165.16804 109.31659
## 88    165.54292  97.07753
## 89    167.03186 101.08221
## 90    167.45912 102.11666
## 91    169.15437  99.35253
## 92    169.27953 102.06636
## 93    170.89507 111.51479
## 94    171.05762 111.11931
## 95    171.69948 107.46858
## 96    171.75901  99.05279
## 97    172.49892 107.46809
## 98    173.00559 102.24467
## 99    173.66419  98.26170
## 100   174.62394 107.14732
## 101   175.54125 104.09368
## 102   176.24532 109.17036
## 103   177.17309  98.38582
## 104   178.55100 113.73137
## 105   178.63826 101.62153
## 106   179.65441 109.34272
## 107   180.50808 115.06165
## 108   180.69154 109.25051
## 109   180.97553 100.99267
## 110   181.17359 110.44487
## 111   182.11221  99.22921
## 112   182.24143 104.91437
## 113   182.50976 104.32932
## 114   184.26129 105.33001
## 115   185.27202 102.01327
## 116   185.51715 121.63897
## 117   186.00133 101.65845
## 118   187.64679 105.91039
## 119   188.00942 100.07236
## 120   191.02064  97.36769
## 121   193.26786 102.52866
## 122   193.86850 130.84126
## 123   194.90577 109.86443
## 124   195.54508 111.99342
## 125   195.70272 117.59090
## 126   196.35636 110.20410
## 127   196.49563 100.62911
## 128   198.96872 113.28654
## 129   199.39629 107.02356
## 130   201.32730 105.94057
## 131   201.33317 113.68848
## 132   201.46388  99.74590
## 133   201.94036 100.47561
## 134   202.27139 113.42404
## 135   202.39318 111.53858
## 136   202.88601 121.93981
## 137   203.91610  96.94352
## 138   204.72705 101.67933
## 139   205.01197 106.74206
## 140   206.92570  98.91410
## 141   206.97323 104.09516
## 142   207.42166 110.79061
## 143   207.71179 112.66449
## 144   209.04960 106.41484
## 145   209.25821 113.56152
## 146   209.34494 104.12892
## 147   209.48407 118.53460
## 148   210.65248 106.37822
## 149   210.91913  97.67374
## 150   214.77429 119.60347
## 151   215.29413 111.00417
## 152   217.38655 117.32495
## 153   218.91505 107.52346
## 154   219.17822 102.07485
## 155   219.20214 100.66285
## 156   219.40691  97.17908
## 157   219.60339  99.50964
## 158   219.85362 106.73081
## 159   220.08091 113.03958
## 160   220.34407 108.74719
## 161   220.47944 108.63443
## 162   220.50609 112.33565
## 163   220.83086 104.60783
## 164   222.34968 118.46242
## 165   223.27058 125.76830
## 166   223.70535 105.32232
## 167   223.87775 113.50460
## 168   223.88785 103.32183
## 169   226.11350 107.08479
## 170   226.29840 111.34355
## 171   226.31489 115.32095
## 172   226.66337 106.55045
## 173   227.14418 109.16286
## 174   229.29259 119.05414
## 175   230.26488 107.50976
## 176   232.57464 102.56214
## 177   233.32187 114.71727
## 178   233.43895 109.96517
## 179   233.76103 107.47523
## 180   234.86404 104.13034
## 181   236.90813 119.86823
## 182   237.18796 102.75566
## 183   237.78441 107.73490
## 184   238.04369  97.07663
## 185   238.27688 111.09664
## 186   238.31275 108.09422
## 187   238.32868 107.39550
## 188   238.35019 109.60500
## 189   238.39320 112.65275
## 190   238.95123 104.03288
## 191   239.23203 105.88123
## 192   239.32181 109.29786
## 193   239.50967 110.03569
## 194   239.54114 103.06060
## 195   239.89799 104.05959
## 196   240.18274 106.24371
## 197   240.85989 120.05999
## 198   241.49508 109.62265
## 199   242.82232 119.50981
## 200   244.90446 104.91740
## 201   245.48896 114.54652
## 202   245.70974 109.20142
## 203   246.11883 109.08808
## 204   246.20722 109.63490
## 205   246.88973 119.39952
## 206   247.20479 127.58188
## 207   248.30919 118.39474
## 208   248.58964  97.16602
## 209   248.71440 111.44003
## 210   248.86830 114.36782
## 211   250.01255 125.31035
## 212   250.43502 101.90630
## 213   250.76645 109.61986
## 214   251.19781 114.95975
## 215   251.39778 115.39990
## 216   251.50301 109.97187
## 217   252.67828 111.88300
## 218   252.72579 103.74518
## 219   253.34647 120.04320
## 220   253.38964 108.45792
## 221   253.64865 112.80592
## 222   253.96201 104.13173
## 223   254.54679 118.26129
## 224   256.04137 103.36592
## 225   256.18465  99.31926
## 226   258.62781 116.53057
## 227   259.05271 102.85735
## 228   260.42279 107.27874
## 229   261.07529 115.46306
## 230   261.71940 104.71238
## 231   263.67178 110.59450
## 232   264.30350 109.25773
## 233   264.94927 115.39278
## 234   266.60862 113.12646
## 235   267.15491 124.31354
## 236   267.17234 105.67632
## 237   267.60817 114.35234
## 238   267.73043 109.27141
## 239   268.98476 115.30274
## 240   272.41350 126.59694
## 241   273.02654 118.10942
## 242   273.06796 107.43300
## 243   273.86587 109.58211
## 244   273.86686 107.07541
## 245   274.18519 103.42902
## 246   274.97588 110.77461
## 247   275.82425 108.65336
## 248   276.56284 116.32020
## 249   277.05152 116.93488
## 250   277.18034 112.22772
## 251   277.78376 115.73982
## 252   278.28113 106.25185
## 253   279.44413 111.64252
## 254   281.34983 117.54254
## 255   281.38050 110.79550
## 256   281.83493 117.01855
## 257   281.83514 101.60594
## 258   282.00663 107.04885
## 259   283.61729 114.34533
## 260   283.69417 106.97136
## 261   283.80184 120.39924
## 262   284.37447 109.40637
## 263   284.99314 126.53062
## 264   286.93165 104.33879
## 265   288.74285 107.86724
## 266   290.27476 115.65046
## 267   290.65509 112.57893
## 268   290.68906 126.26520
## 269   290.70068 124.22447
## 270   290.85818 133.05897
## 271   291.37230  98.69937
## 272   291.60434 112.00044
## 273   292.55548 118.57896
## 274   292.61006 118.83942
## 275   292.92421 121.58915
## 276   295.83592 111.59926
## 277   295.92943 121.68994
## 278   296.95221 119.85797
## 279   297.86354 118.62413
## 280   301.11659 117.60076
## 281   302.05375 109.51897
## 282   302.23999 124.02020
## 283   302.82433 128.12891
## 284   303.63391 123.22822
## 285   303.90147 114.81824
## 286   304.36758 131.63207
## 287   304.70720 117.71070
## 288   304.99629 120.84600
## 289   305.72458 117.04500
## 290   306.24133 116.58144
## 291   307.28505 125.83670
## 292   307.45683 122.75833
## 293   307.64603 123.59069
## 294   307.72512 111.84724
## 295   307.75595 112.63863
## 296   307.81289 119.69964
## 297   308.38068 125.87898
## 298   308.97047 108.27008
## 299   309.65081 119.19144
## 300   311.82380 121.32118
## 301   313.13654 114.26838
## 302   314.23686 120.22818
## 303   314.59076 103.18630
## 304   315.08941 112.08245
## 305   315.44504 112.96611
## 306   316.09552 103.56367
## 307   316.37295 114.52101
## 308   316.67158 131.47308
## 309   316.74113 115.16252
## 310   317.35221 101.51822
## 311   317.38646 119.01101
## 312   317.55856 123.29865
## 313   317.66149 126.68125
## 314   317.90686 101.72527
## 315   318.17527 113.16345
## 316   318.65430 117.32604
## 317   318.66854 119.49734
## 318   319.04265 120.39104
## 319   319.50709 119.23297
## 320   319.54981 123.54160
## 321   320.40167 111.16056
## 322   320.44665 121.85230
## 323   322.12483 119.66854
## 324   322.13429 109.31555
## 325   322.17538 111.96324
## 326   322.64544 113.40170
## 327   323.24906 108.43804
## 328   325.07622 115.04658
## 329   325.12264 112.24987
## 330   326.37579 117.24740
## 331   326.40308 122.62718
## 332   326.75963 132.11545
## 333   326.79722 127.01677
## 334   327.25918 116.81200
## 335   327.29876 102.43687
## 336   328.19352 128.64075
## 337   328.24222 118.53009
## 338   328.77311 119.44838
## 339   330.10094 118.55280
## 340   330.25765 108.59730
## 341   330.65100 115.42320
## 342   331.26737 104.26063
## 343   332.50861 120.79004
## 344   332.52430 113.12722
## 345   332.87734 129.86012
## 346   333.01140 130.18731
## 347   334.11098 104.58788
## 348   334.80206 107.61401
## 349   336.17113 119.17194
## 350   336.39504 123.16067
## 351   337.17295 109.36446
## 352   337.36858 122.53285
## 353   339.36979 103.40624
## 354   339.67031 118.05473
## 355   340.47756 117.32314
## 356   340.55202 106.16601
## 357   341.17400 117.82645
## 358   342.51547 112.13384
## 359   342.82378 117.22926
## 360   342.93104 121.44514
## 361   343.32397 102.06969
## 362   344.38487 121.80239
## 363   346.52802 114.55075
## 364   347.00486 121.04272
## 365   347.28068 121.17634
## 366   348.27092 126.80473
## 367   348.84487 115.70107
## 368   348.93378 102.50054
## 369   349.46340 112.44023
## 370   349.81239 135.04636
## 371   350.29290  97.13101
## 372   350.62895 121.98585
## 373   351.17913 122.19036
## 374   351.70782 107.21134
## 375   351.92991 101.80361
## 376   353.50808 119.81531
## 377   353.55097 127.04138
## 378   354.87232 125.13206
## 379   356.53607 125.33333
## 380   357.27609 115.62395
## 381   357.85980 107.16179
## 382   358.88032 109.75143
## 383   359.01270 110.14268
## 384   359.73755 119.38823
## 385   360.54389 123.99442
## 386   360.54567 116.39556
## 387   361.30649 108.23540
## 388   361.58596 124.54245
## 389   361.65906 113.51702
## 390   362.34941 124.72090
## 391   362.72753 122.24320
## 392   363.42530 124.75485
## 393   364.46023 114.31967
## 394   365.09491 139.77087
## 395   365.29463 110.04667
## 396   367.14536 124.11912
## 397   367.22436 122.46935
## 398   368.26356 122.69665
## 399   369.20048 108.45477
## 400   369.73694 123.83479
## 401   369.94410 114.14677
## 402   370.30332 101.66090
## 403   370.31781 121.31691
## 404   370.76808 122.99854
## 405   371.54069 113.50910
## 406   371.93863 117.38080
## 407   371.97165 116.87038
## 408   373.03679 128.55182
## 409   373.12205 106.38951
## 410   374.67987 118.20905
## 411   374.72174 111.45890
## 412   374.88837 110.78729
## 413   377.61022 119.18829
## 414   377.66323 124.71373
## 415   378.50382 114.99755
## 416   378.72737 115.57497
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## 418   380.11200 104.20077
## 419   380.24640 114.51756
## 420   381.31394 115.98720
## 421   381.44879 115.21492
## 422   382.50481 116.59327
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## 424   382.66370 121.25014
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## 427   384.16045 106.21597
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## 431   386.18541 128.99691
## 432   386.39636 117.85101
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## 435   387.78756 121.82311
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## 438   390.25248 115.24986
## 439   390.30655 109.55362
## 440   391.41942 108.86561
## 441   391.57825 110.08820
## 442   391.65353 112.66955
## 443   392.75301 110.15872
## 444   393.04505 134.33152
## 445   393.88610 104.68635
## 446   394.49494 129.34799
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## 448   395.81295 124.65788
## 449   396.55518 133.23254
## 450   396.88585 126.86142
## 451   398.69382 124.80256
## 452   398.96664 140.60865
## 453   400.08175 128.49048
## 454   400.24132 127.84758
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## 456   403.00387 112.85252
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## 460   404.81743 131.15139
## 461   405.83154 114.23889
## 462   409.58548 116.43536
## 463   409.62921 133.31728
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## 465   410.17783 121.59635
## 466   411.25230 125.66920
## 467   412.46288 111.21919
## 468   412.63337 128.37481
## 469   413.94283 117.20037
## 470   414.74030 112.14721
## 471   414.86995 124.84688
## 472   415.77980 112.28037
## 473   417.68454 131.82489
## 474   418.26622 109.76662
## 475   420.02126 102.25801
## 476   421.74613 112.63458
## 477   422.32444 126.70753
## 478   423.17200 118.94738
## 479   424.51788 120.54502
## 480   425.04240 118.56898
## 481   425.73668 127.97253
## 482   425.84726 135.67158
## 483   426.70398 118.20551
## 484   427.11625 126.01651
## 485   427.63079 122.57534
## 486   428.01367 126.60257
## 487   428.26955  98.76807
## 488   428.62008 120.84574
## 489   428.75832 117.48881
## 490   429.16895 123.31581
## 491   430.89975 134.38609
## 492   431.05663 119.39561
## 493   432.12196 126.75743
## 494   432.54396 112.70595
## 495   432.90899 119.44435
## 496   433.03695 131.49738
## 497   433.71022 130.54826
## 498   436.14061 121.75882
## 499   436.67621 119.15611
## 500   436.94719 122.49784
## 501   437.26274 139.67212
## 502   437.50178 136.45855
## 503   438.33293 116.17492
## 504   438.72916 116.42651
## 505   438.83885 129.97136
## 506   440.92597 120.49819
## 507   441.81825 117.89669
## 508   442.83099 126.37667
## 509   443.24229 105.68384
## 510   445.22092 130.62416
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## 525   455.37541 127.82252
## 526   456.01844 114.77238
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## 548   473.27423 125.63869
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## 551   476.79612 110.65136
## 552   476.92116 141.83323
## 553   477.26057 120.66815
## 554   477.33266 116.53331
## 555   478.75949 119.77649
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## 1704 1202.60468 138.00948
## 1705 1203.10303 149.60964
## 1706 1203.71154 145.25779
## 1707 1203.90794 139.72151
## 1708 1204.08944 147.63040
## 1709 1204.65695 153.09956
## 1710 1205.16091 150.80904
## 1711 1205.17893 134.94609
## 1712 1205.20922 143.66950
## 1713 1206.32392 149.77331
## 1714 1207.01826 139.34459
## 1715 1207.12420 129.80878
## 1716 1208.31089 131.85357
## 1717 1209.54752 141.83686
## 1718 1211.58568 144.48053
## 1719 1211.63141 133.79901
## 1720 1211.68594 138.72928
## 1721 1211.94171 142.70076
## 1722 1212.35633 143.45142
## 1723 1213.23442 142.54099
## 1724 1213.82137 132.44924
## 1725 1214.28568 145.01790
## 1726 1214.50092 141.22016
## 1727 1214.92597 126.62522
## 1728 1215.05489 141.95230
## 1729 1215.44599 142.49388
## 1730 1215.98345 148.24816
## 1731 1216.38120 145.21705
## 1732 1216.89549 133.95376
## 1733 1217.52001 135.09372
## 1734 1217.57575 131.79691
## 1735 1217.69085 147.49878
## 1736 1217.85047 156.53218
## 1737 1218.27156 140.34808
## 1738 1219.66916 139.97555
## 1739 1220.40231 148.82757
## 1740 1221.23173 146.50447
## 1741 1222.37298 131.91270
## 1742 1222.38178 148.00690
## 1743 1222.61958 150.68441
## 1744 1223.23072 142.78714
## 1745 1224.06940 140.98284
## 1746 1224.64354 155.38595
## 1747 1224.65706 134.26534
## 1748 1225.00217 127.51085
## 1749 1225.19741 140.24185
## 1750 1225.43441 145.90074
## 1751 1227.50911 126.27305
## 1752 1228.71626 149.53313
## 1753 1228.77621 154.39597
## 1754 1230.01565 143.06579
## 1755 1230.70112 133.77627
## 1756 1230.80805 140.11370
## 1757 1231.40516 138.76000
## 1758 1231.63769 121.78768
## 1759 1232.86495 149.50524
## 1760 1233.09986 134.47851
## 1761 1233.98368 156.07149
## 1762 1234.05861 148.15864
## 1763 1234.72227 152.92069
## 1764 1236.18169 139.02882
## 1765 1236.78037 143.32149
## 1766 1237.11226 135.77301
## 1767 1237.30010 139.31250
## 1768 1237.55059 148.94965
## 1769 1237.59373 134.84285
## 1770 1238.43667 162.56409
## 1771 1238.57286 146.86582
## 1772 1238.59663 137.20099
## 1773 1238.93901 136.99923
## 1774 1239.28388 151.83104
## 1775 1239.62220 142.75761
## 1776 1239.74148 163.58028
## 1777 1240.02713 145.35879
## 1778 1240.15976 144.22415
## 1779 1240.22895 168.40670
## 1780 1240.45671 134.30064
## 1781 1240.89943 146.26717
## 1782 1241.69744 135.04700
## 1783 1242.30240 131.58963
## 1784 1245.33133 149.94982
## 1785 1245.92935 148.03250
## 1786 1246.12384 134.59925
## 1787 1246.40336 146.77662
## 1788 1246.62573 155.45139
## 1789 1247.08475 139.20173
## 1790 1247.96486 139.99072
## 1791 1248.60380 143.14561
## 1792 1248.84936 148.33119
## 1793 1251.49137 139.10781
## 1794 1252.45042 138.88273
## 1795 1253.60072 152.07549
## 1796 1254.45358 134.04681
## 1797 1255.76116 137.36563
## 1798 1256.21571 137.58491
## 1799 1256.40154 145.62384
## 1800 1256.65543 145.77927
## 1801 1257.42693 145.67295
## 1802 1257.66594 132.61897
## 1803 1257.73696 138.06699
## 1804 1257.76825 134.83765
## 1805 1258.00335 143.34635
## 1806 1258.17251 142.89297
## 1807 1259.71071 147.16787
## 1808 1259.88670 141.64707
## 1809 1260.11638 145.05737
## 1810 1260.64330 132.36406
## 1811 1261.44305 152.74074
## 1812 1261.96198 139.74436
## 1813 1263.39266 137.95787
## 1814 1264.28973 138.25947
## 1815 1264.65484 146.55294
## 1816 1265.08823 158.04791
## 1817 1265.88120 143.75897
## 1818 1266.05493 150.32858
## 1819 1267.27632 135.28083
## 1820 1268.63666 139.29687
## 1821 1269.30760 138.60850
## 1822 1272.06040 152.90097
## 1823 1273.20634 153.44007
## 1824 1274.01006 140.40863
## 1825 1274.37500 141.77932
## 1826 1274.74068 148.84883
## 1827 1275.04529 149.75641
## 1828 1275.96786 150.77127
## 1829 1276.45258 142.75977
## 1830 1276.51455 145.50443
## 1831 1276.60555 145.37674
## 1832 1277.75352 147.63187
## 1833 1277.89752 147.06971
## 1834 1278.39418 139.77400
## 1835 1278.52032 133.64897
## 1836 1279.36840 149.64449
## 1837 1279.65253 140.13573
## 1838 1280.00275 144.38502
## 1839 1280.07489 150.41514
## 1840 1280.14566 144.45359
## 1841 1280.14851 141.42824
## 1842 1280.86307 139.26551
## 1843 1282.57301 141.75565
## 1844 1282.77943 155.76025
## 1845 1284.24825 141.73787
## 1846 1285.25577 152.82877
## 1847 1285.51179 157.19420
## 1848 1286.26928 162.87997
## 1849 1287.24016 150.00927
## 1850 1287.80457 136.62049
## 1851 1287.96948 138.99839
## 1852 1290.23487 150.88848
## 1853 1290.53103 143.05009
## 1854 1291.62145 156.12995
## 1855 1293.59244 145.39205
## 1856 1293.82199 144.39335
## 1857 1293.84583 121.24019
## 1858 1295.30520 144.25153
## 1859 1295.42651 150.09913
## 1860 1295.80713 141.15034
## 1861 1295.98969 151.38567
## 1862 1296.04143 138.27909
## 1863 1296.07556 137.02765
## 1864 1296.54212 154.39423
## 1865 1297.14125 140.92510
## 1866 1297.34187 140.90684
## 1867 1298.07602 142.64133
## 1868 1298.99861 154.43302
## 1869 1299.07911 134.56846
## 1870 1299.78313 146.27018
## 1871 1299.86192 148.01186
## 1872 1299.97916 126.36209
## 1873 1300.11446 177.68646
## 1874 1301.22230 143.15109
## 1875 1302.12167 157.16446
## 1876 1302.95512 131.16645
## 1877 1304.01032 138.96508
## 1878 1305.01879 139.03478
## 1879 1305.18024 149.41507
## 1880 1307.41336 167.80457
## 1881 1309.43153 135.22663
## 1882 1310.02686 161.77583
## 1883 1310.31183 146.60088
## 1884 1310.33901 141.69942
## 1885 1310.36139 151.71255
## 1886 1310.89601 148.20924
## 1887 1311.83939 126.00222
## 1888 1312.99571 163.37352
## 1889 1314.29557 144.73920
## 1890 1314.32007 135.09699
## 1891 1314.54088 151.93438
## 1892 1314.83759 146.52973
## 1893 1314.99706 147.40153
## 1894 1315.16810 140.80517
## 1895 1316.29237 145.93078
## 1896 1316.71324 159.24082
## 1897 1317.39965 133.09680
## 1898 1319.05838 145.78328
## 1899 1319.45292 146.11447
## 1900 1319.60480 136.08977
## 1901 1320.17868 147.60260
## 1902 1320.86499 144.50065
## 1903 1320.91920 148.10367
## 1904 1321.51662 133.28906
## 1905 1322.94900 138.17734
## 1906 1323.42089 142.20635
## 1907 1323.45575 136.37792
## 1908 1324.15968 137.30754
## 1909 1325.45542 148.19369
## 1910 1328.25271 123.38826
## 1911 1328.71737 148.54756
## 1912 1328.75863 132.23721
## 1913 1328.81319 142.20494
## 1914 1329.75373 138.06278
## 1915 1329.82264 142.02489
## 1916 1331.41149 130.65509
## 1917 1331.51247 133.48785
## 1918 1331.62070 151.96960
## 1919 1333.83306 131.68440
## 1920 1333.83398 132.11176
## 1921 1334.58851 137.86754
## 1922 1335.75786 136.94857
## 1923 1337.02786 147.75554
## 1924 1337.10619 147.68481
## 1925 1337.33084 148.02368
## 1926 1337.80265 132.02123
## 1927 1338.43821 143.52777
## 1928 1338.55387 132.35018
## 1929 1338.98704 138.47744
## 1930 1339.10779 148.54869
## 1931 1339.34936 145.90475
## 1932 1339.55686 121.78949
## 1933 1341.03959 148.30206
## 1934 1341.21838 137.67359
## 1935 1342.42016 131.01744
## 1936 1343.27523 155.39842
## 1937 1343.54435 134.00267
## 1938 1343.90464 141.53543
## 1939 1344.07170 141.78059
## 1940 1344.12822 150.13645
## 1941 1344.63759 139.47785
## 1942 1345.07479 138.85374
## 1943 1345.36468 146.35788
## 1944 1345.90859 129.37937
## 1945 1346.51021 145.78048
## 1946 1349.57781 142.68574
## 1947 1350.22064 143.30498
## 1948 1350.26635 116.09444
## 1949 1350.88036 151.86973
## 1950 1351.52945 137.33573
## 1951 1352.20126 126.73403
## 1952 1352.43176 151.76835
## 1953 1353.14495 151.18257
## 1954 1353.19980 139.95528
## 1955 1353.51535 152.09126
## 1956 1355.19533 150.79887
## 1957 1355.97998 133.11445
## 1958 1357.07785 153.00237
## 1959 1357.45005 142.07348
## 1960 1357.71701 143.28814
## 1961 1358.36690 145.66036
## 1962 1358.92728 154.51701
## 1963 1359.76636 143.44092
## 1964 1360.02578 141.63253
## 1965 1362.45924 135.86698
## 1966 1364.04859 154.95097
## 1967 1364.93440 152.70662
## 1968 1365.16928 146.55457
## 1969 1365.50981 135.19709
## 1970 1366.08132 141.36730
## 1971 1366.21265 135.25211
## 1972 1366.52839 141.88657
## 1973 1366.56520 128.05363
## 1974 1366.69850 162.99115
## 1975 1366.96350 136.43428
## 1976 1368.41778 148.55671
## 1977 1368.78055 149.22025
## 1978 1368.78168 143.82334
## 1979 1369.40017 143.73572
## 1980 1369.96123 131.24355
## 1981 1370.49517 142.72831
## 1982 1371.11030 135.82950
## 1983 1371.83930 142.75179
## 1984 1372.02501 134.53937
## 1985 1372.85008 129.71275
## 1986 1373.12361 149.59703
## 1987 1373.16815 154.40612
## 1988 1373.54797 127.98644
## 1989 1373.77019 134.05262
## 1990 1374.02239 150.50111
## 1991 1374.18166 146.79994
## 1992 1374.18383 141.31632
## 1993 1374.30635 147.11491
## 1994 1374.73924 144.01604
## 1995 1374.82009 144.66778
## 1996 1375.01378 151.23150
## 1997 1375.10385 161.42281
## 1998 1377.30331 134.45511
## 1999 1377.32304 150.66987
## 2000 1377.73948 141.04570
## 2001 1378.34954 154.46116
## 2002 1378.58152 148.65907
## 2003 1378.70669 158.59962
## 2004 1378.79140 145.98127
## 2005 1378.93347 140.45703
## 2006 1381.48805 142.98156
## 2007 1381.72731 147.92428
## 2008 1381.84949 143.17860
## 2009 1382.03770 147.08353
## 2010 1382.95966 148.95445
## 2011 1384.87330 153.40224
## 2012 1385.18904 134.39887
## 2013 1385.25734 154.74559
## 2014 1385.83625 146.29891
## 2015 1386.49934 143.27760
## 2016 1388.73975 156.95111
## 2017 1389.00138 150.80580
## 2018 1389.85389 154.21616
## 2019 1390.08443 134.27767
## 2020 1390.16944 159.44930
## 2021 1391.10562 153.69650
## 2022 1393.10111 134.53769
## 2023 1393.16075 138.18747
## 2024 1393.57379 129.94914
## 2025 1394.40812 137.21098
## 2026 1396.03475 148.97371
## 2027 1397.54499 143.87058
## 2028 1398.34147 155.97251
## 2029 1399.60374 148.79675
## 2030 1399.92646 147.67390
## 2031 1400.86111 146.21462
## 2032 1400.97061 136.58733
## 2033 1401.18264 134.47688
## 2034 1401.42793 147.48400
## 2035 1401.48288 143.15049
## 2036 1401.54967 152.08700
## 2037 1402.34103 137.00071
## 2038 1402.88732 149.66248
## 2039 1403.68697 142.68564
## 2040 1403.89725 137.27014
## 2041 1404.12525 145.78491
## 2042 1404.18408 132.77629
## 2043 1405.05064 151.29678
## 2044 1405.10028 128.84713
## 2045 1406.21202 150.21437
## 2046 1406.51274 141.54304
## 2047 1407.13378 131.34066
## 2048 1407.33240 141.23221
## 2049 1407.86276 133.56080
## 2050 1408.24686 142.48898
## 2051 1408.25833 151.36936
## 2052 1408.31552 143.26330
## 2053 1409.76428 144.48867
## 2054 1409.83482 146.02573
## 2055 1410.05249 140.83461
## 2056 1411.88299 143.58859
## 2057 1413.11036 144.46690
## 2058 1413.11505 121.15238
## 2059 1415.10162 138.16036
## 2060 1416.22333 146.74201
## 2061 1418.04115 143.08274
## 2062 1418.06413 155.40969
## 2063 1418.11383 143.00550
## 2064 1418.63681 147.58805
## 2065 1419.18738 156.20156
## 2066 1420.70588 159.62536
## 2067 1421.05430 144.84129
## 2068 1421.16372 146.44690
## 2069 1421.17504 142.32169
## 2070 1421.64844 141.95167
## 2071 1421.73964 153.49809
## 2072 1421.79501 148.98280
## 2073 1422.46853 153.27085
## 2074 1423.30125 142.93127
## 2075 1423.31029 144.57632
## 2076 1424.61887 150.06499
## 2077 1425.86662 147.09199
## 2078 1426.14459 142.95947
## 2079 1427.10786 130.04831
## 2080 1427.15175 143.58357
## 2081 1427.99852 151.83756
## 2082 1428.05592 144.55465
## 2083 1429.58070 140.16057
## 2084 1430.96246 145.07844
## 2085 1431.30703 148.64568
## 2086 1433.24813 140.77606
## 2087 1433.93956 141.76325
## 2088 1434.98682 137.93996
## 2089 1435.25273 144.36033
## 2090 1435.94817 153.07360
## 2091 1436.35133 143.08492
## 2092 1436.41619 138.94674
## 2093 1437.93181 148.45454
## 2094 1438.14910 149.02051
## 2095 1438.39029 147.24793
## 2096 1439.30995 139.56389
## 2097 1439.85053 152.56227
## 2098 1440.57611 156.48655
## 2099 1442.51840 143.97864
## 2100 1442.89118 132.56973
## 2101 1443.65573 149.17649
## 2102 1444.28662 119.41238
## 2103 1444.48905 148.71122
## 2104 1445.04131 140.29570
## 2105 1445.17439 156.60719
## 2106 1445.58628 146.56938
## 2107 1445.89495 158.45127
## 2108 1447.27090 133.92121
## 2109 1447.47568 145.02644
## 2110 1448.92311 145.29506
## 2111 1449.46564 146.68289
## 2112 1449.80465 140.25000
## 2113 1449.88890 152.21356
## 2114 1450.67874 158.66564
## 2115 1451.20127 142.75291
## 2116 1452.75024 150.49735
## 2117 1452.96219 148.77813
## 2118 1453.10885 146.98238
## 2119 1453.76198 151.27222
## 2120 1453.88608 143.01614
## 2121 1455.29401 143.99741
## 2122 1455.45719 136.89165
## 2123 1455.64830 153.13981
## 2124 1455.68846 153.66164
## 2125 1455.84125 139.14199
## 2126 1456.25616 135.32540
## 2127 1456.65016 131.21304
## 2128 1457.06431 136.64051
## 2129 1457.45836 129.71669
## 2130 1457.64268 142.77332
## 2131 1457.96529 137.82799
## 2132 1458.01466 133.66636
## 2133 1460.99503 163.17571
## 2134 1461.46882 138.14053
## 2135 1461.63272 148.75936
## 2136 1462.45776 142.12301
## 2137 1462.59091 147.48090
## 2138 1462.86846 158.62615
## 2139 1464.19411 156.22790
## 2140 1464.42614 135.56828
## 2141 1465.17959 136.04367
## 2142 1465.19936 148.12167
## 2143 1465.38431 143.26490
## 2144 1465.45088 153.00008
## 2145 1465.50916 148.69709
## 2146 1465.67816 146.48973
## 2147 1466.63587 126.20607
## 2148 1468.65608 151.69860
## 2149 1468.77000 141.75497
## 2150 1468.83943 154.52071
## 2151 1470.01656 148.93885
## 2152 1470.49826 149.78282
## 2153 1470.65943 142.66504
## 2154 1470.93552 145.06039
## 2155 1470.94259 151.14774
## 2156 1471.00501 137.42283
## 2157 1472.24520 155.05143
## 2158 1472.25384 148.59678
## 2159 1472.85727 138.79805
## 2160 1472.98483 147.63757
## 2161 1473.42250 139.98293
## 2162 1474.52781 156.59453
## 2163 1475.38678 157.95850
## 2164 1475.97133 144.41545
## 2165 1476.32665 141.66241
## 2166 1476.39254 153.68983
## 2167 1476.57887 146.60239
## 2168 1476.58491 151.44300
## 2169 1477.34868 154.79177
## 2170 1477.61503 144.81227
## 2171 1477.64687 141.83890
## 2172 1477.70764 136.32253
## 2173 1480.01265 142.74316
## 2174 1480.17640 157.71728
## 2175 1480.49861 141.69463
## 2176 1481.18629 142.48320
## 2177 1482.30045 133.81642
## 2178 1483.60263 137.61013
## 2179 1483.62302 150.65512
## 2180 1483.77285 135.34192
## 2181 1483.92853 139.77004
## 2182 1484.90301 148.27495
## 2183 1484.93520 145.02319
## 2184 1484.93746 145.16819
## 2185 1486.76915 143.19517
## 2186 1487.69770 141.33275
## 2187 1489.04532 142.61307
## 2188 1489.69570 145.83170
## 2189 1490.23321 152.35190
## 2190 1490.59286 134.31079
## 2191 1491.17282 157.94892
## 2192 1491.43229 158.08460
## 2193 1492.25197 141.90373
## 2194 1493.00923 134.96387
## 2195 1494.21063 147.94899
## 2196 1494.21076 134.70767
## 2197 1494.28205 148.60661
## 2198 1494.35661 146.60992
## 2199 1494.46841 142.35282
## 2200 1495.02256 142.75955
## 2201 1495.36376 147.64902
## 2202 1495.67976 149.19638
## 2203 1495.78497 141.34083
## 2204 1496.92349 143.12858
## 2205 1497.74688 156.61923
## 2206 1499.97893 143.44581
## 2207 1500.27443 132.07084
## 2208 1501.07358 141.72046
## 2209 1501.08372 141.81481
## 2210 1502.69364 144.08212
## 2211 1502.86005 139.92345
## 2212 1503.20409 162.16599
## 2213 1503.25082 143.89286
## 2214 1503.28668 146.94591
## 2215 1504.44947 145.11564
## 2216 1504.89007 153.56712
## 2217 1505.22358 139.91482
## 2218 1505.32106 149.99079
## 2219 1505.81548 145.51001
## 2220 1507.49190 149.52176
## 2221 1507.90659 150.44354
## 2222 1508.40025 156.70548
## 2223 1508.76787 146.62614
## 2224 1510.41513 137.57164
## 2225 1510.58510 137.34927
## 2226 1512.36857 141.25150
## 2227 1512.68587 136.16561
## 2228 1512.72053 145.46567
## 2229 1513.60991 147.40473
## 2230 1514.98507 145.39854
## 2231 1515.21302 148.80720
## 2232 1515.33113 139.71996
## 2233 1515.36676 137.99918
## 2234 1515.43219 153.81274
## 2235 1516.30058 142.55625
## 2236 1516.76024 155.23877
## 2237 1517.01707 139.77018
## 2238 1517.30041 158.58179
## 2239 1517.43279 159.01045
## 2240 1519.12034 135.55648
## 2241 1519.18430 149.20881
## 2242 1519.38174 136.52787
## 2243 1519.66998 136.45604
## 2244 1520.28568 143.46447
## 2245 1520.68185 151.27503
## 2246 1520.76196 145.68334
## 2247 1521.35022 147.67817
## 2248 1522.28028 154.52043
## 2249 1522.61560 141.09561
## 2250 1524.57681 133.23791
## 2251 1525.35603 141.50971
## 2252 1525.85626 153.92013
## 2253 1526.23392 157.12574
## 2254 1526.36550 144.16171
## 2255 1526.61799 163.17009
## 2256 1526.81332 148.48873
## 2257 1526.89285 152.38099
## 2258 1527.49506 143.16594
## 2259 1527.53959 144.30035
## 2260 1527.61647 167.42736
## 2261 1527.91040 161.87660
## 2262 1529.73632 138.81655
## 2263 1529.79256 125.99993
## 2264 1531.01891 140.33203
## 2265 1533.15967 137.69813
## 2266 1534.45447 154.22567
## 2267 1534.86041 155.68995
## 2268 1535.34952 152.51921
## 2269 1535.74270 137.27845
## 2270 1535.87115 132.94111
## 2271 1536.42827 160.18263
## 2272 1537.78772 144.84541
## 2273 1537.87006 137.00130
## 2274 1538.22359 143.30724
## 2275 1538.40967 140.95685
## 2276 1539.36167 142.72553
## 2277 1539.42694 162.38442
## 2278 1541.29888 118.02293
## 2279 1541.39105 140.19955
## 2280 1542.52687 141.05335
## 2281 1543.03763 145.44581
## 2282 1544.20681 147.24451
## 2283 1544.57418 141.87181
## 2284 1545.33244 145.43236
## 2285 1546.32403 145.25881
## 2286 1546.45708 155.30010
## 2287 1547.52129 162.34488
## 2288 1547.62121 152.36542
## 2289 1548.70150 148.78787
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## 4614 2934.95837 157.55780
## 4615 2935.38107 164.87180
## 4616 2935.63351 172.51528
## 4617 2935.70936 164.41823
## 4618 2936.47633 165.58851
## 4619 2937.13946 151.94341
## 4620 2937.50847 157.21202
## 4621 2937.65346 164.88571
## 4622 2938.18041 165.88932
## 4623 2938.37342 168.08915
## 4624 2940.86941 162.03545
## 4625 2940.99683 159.28032
## 4626 2941.56165 152.94543
## 4627 2942.05801 169.71042
## 4628 2942.39225 148.40928
## 4629 2943.35187 165.84213
## 4630 2943.53233 163.76630
## 4631 2943.97005 165.14635
## 4632 2944.65600 165.87437
## 4633 2945.72447 157.71117
## 4634 2945.95776 159.65814
## 4635 2945.95813 169.80371
## 4636 2946.27851 162.62309
## 4637 2947.99767 163.79667
## 4638 2948.39893 167.56852
## 4639 2948.55826 158.15794
## 4640 2949.88496 160.85004
## 4641 2950.05262 170.30776
## 4642 2950.99644 157.08504
## 4643 2952.05355 157.91006
## 4644 2952.86581 156.87935
## 4645 2954.18414 158.67405
## 4646 2955.13914 158.48397
## 4647 2955.63971 162.28787
## 4648 2956.53184 152.56274
## 4649 2956.69372 177.28106
## 4650 2957.17240 170.82832
## 4651 2957.31732 154.18299
## 4652 2958.32409 160.51612
## 4653 2958.40150 179.27834
## 4654 2959.45319 158.99576
## 4655 2959.48079 166.06436
## 4656 2960.12013 158.85576
## 4657 2960.21732 157.36628
## 4658 2960.30437 166.39254
## 4659 2962.10913 163.02845
## 4660 2962.66393 161.13774
## 4661 2963.04827 157.26282
## 4662 2963.80974 157.43051
## 4663 2964.70561 156.32153
## 4664 2964.82760 162.39654
## 4665 2966.48298 164.65626
## 4666 2966.62727 139.71524
## 4667 2966.79366 153.61634
## 4668 2967.60453 153.72751
## 4669 2968.33987 169.00754
## 4670 2969.18606 150.42154
## 4671 2970.72114 159.93339
## 4672 2970.79630 173.41879
## 4673 2971.41028 163.80704
## 4674 2973.69515 176.95852
## 4675 2973.80246 172.57817
## 4676 2974.44776 126.78656
## 4677 2974.97315 155.33512
## 4678 2975.03983 159.21328
## 4679 2975.28614 155.69817
## 4680 2975.39407 172.17093
## 4681 2977.41930 170.40481
## 4682 2978.33898 160.73009
## 4683 2978.70247 150.93834
## 4684 2981.21078 149.92121
## 4685 2982.44927 166.10116
## 4686 2983.56690 160.42784
## 4687 2985.19330 154.76460
## 4688 2985.25482 165.91927
## 4689 2988.31690 157.61704
## 4690 2988.49042 169.57891
## 4691 2988.90170 168.31518
## 4692 2989.14900 157.86975
## 4693 2989.94515 164.58605
## 4694 2992.19799 158.50404
## 4695 2992.60678 173.15212
## 4696 2992.67260 156.79641
## 4697 2993.25286 164.61103
## 4698 2993.49565 146.19577
## 4699 2994.05606 156.19899
## 4700 2994.44542 166.01860
## 4701 2994.73479 148.68977
## 4702 2995.35690 177.26027
## 4703 2995.41735 148.16301
## 4704 2995.53760 155.13984
## 4705 2995.81104 164.65797
## 4706 2995.84936 159.20080
## 4707 2996.59674 159.91335
## 4708 2996.72474 148.23225
## 4709 2997.50458 167.72159
## 4710 2997.84819 151.21596
## 4711 2998.19027 153.09340
## 4712 2998.36622 150.82771
## 4713 2998.43044 160.09474
## 4714 2998.59228 163.83301
## 4715 2999.18204 167.50477
## 4716 2999.49505 169.17237
## 4717 2999.55309 156.94743

3 DIAGRAMA DE DISPERSION

y <- tabla_media$impacto
x <- tabla_media$horas

plot(x, y,
     pch = 16,
     col = "blue",
     main = "Gráfica N°1: Diagrama de dispersión entre las horas acumuladas de trabajo
y el impacto promedio de las lesiones por fatiga laboral"
,
     xlab = "Horas acumuladas de trabajo",
     ylab = "Impacto promedio de la lesión")

4 CONJETURA DEL MODELO

x1 <- log(x)

regresion_logaritmico <- lm(y ~ x1)
regresion_logaritmico

## 
## Call:
## lm(formula = y ~ x1)
## 
## Coefficients:
## (Intercept)           x1  
##       5.185       19.294

a <- regresion_logaritmico$coefficients[1]
b <- regresion_logaritmico$coefficients[2]
plot(x, y,
     pch = 16,
     col = "blue",
     main = "Gráfica N°2: Comparación de los datos reales con el modelo logarítmico
entre las horas acumuladas de trabajo y el impacto de las lesiones
por fatiga laboral"
,
     xlab = "Horas acumuladas de trabajo",
     ylab = "Impacto de la lesión")

curve(a + b*log(x),
      from = min(x),
      to   = max(x),
      add  = TRUE,
      col  = "red",
      lwd  = 2)

plot(1, type = "n", axes = FALSE, xlab = "", ylab = "")

eq <- paste0(
  "Ecuación logarítmica\n",
  "Y = a + b log(x)\n",
  "Y = ", round(a, 2), " + ", round(b, 2), " log(x)"
)

text(1, 1, labels = eq, cex = 1.7, col = "blue", font = 2)

5 TEST DE APROBACION

r <- cor(x1, y)
r * 100

## [1] 87.26206

6 CALCULO DE PRONOSTICOS

¿Cuál sería el impacto esperado de una lesióncuando un trabajador acumula 2 000 horas de trabajo?

# Restricción: 2 000 horas acumuladas
Impacto_esp <- a + b * log(2000)
Impacto_esp

## (Intercept) 
##    151.8381

plot(1, type = "n", axes = FALSE, xlab = "", ylab = "")

texto_resultado <- paste0(
  "¿Cuál sería el impacto esperado de una lesión\n",
  "cuando un trabajador acumula 2 000 horas de 
  trabajo?\n\n",
  "R = ", round(Impacto_esp, 2),
  " "
)

text(x = 1, y = 1,
     labels = texto_resultado,
     cex = 1.8,
     col = "blue",
     font = 2)

7 CONCLUSIÓN

Entre las horas acumuladas de trabajo y el impacto promedio de las lesiones por fatiga laboral existe una relación de tipo logarítmica, la cual puede representarse mediante el modelo

𝑓 ( 𝑥 ) = 5.19 + 19.29 ln ⁡ ( 𝑥 ) f(x)=5.19+19.29ln(x), donde 𝑥 corresponde a las horas acumuladas de trabajo y 𝑦 al impacto de la lesión.

Si bien el modelo describe adecuadamente la tendencia general de los datos, presenta ciertas restricciones, ya que solo es válido para valores de 𝑥 > 0 x>0, debido a la naturaleza de la función logarítmica. Aun así, el modelo permite explicar el comportamiento observado, evidenciando que el impacto de las lesiones aumenta de forma rápida durante las primeras etapas de acumulación de horas y posteriormente crece de manera más gradual conforme se incrementa la carga laboral.

La relación entre las variables muestra una fuerte asociación, con un coeficiente de correlación del 87.26 %, lo que indica que el modelo logarítmico representa adecuadamente la relación entre las horas acumuladas de trabajo y el impacto de las lesiones por fatiga laboral dentro del rango analizado.

Ejemplo: cuando un trabajador acumula 2 000 horas de trabajo, el modelo logarítmico predice un impacto esperado de la lesión de aproximadamente 151.84 unidades, reflejando el efecto acumulativo de la exposición prolongada al trabajo sobre la severidad de las lesiones.