setwd("~/pye1pm")library(fdth)##
## Attaching package: 'fdth'
## The following objects are masked from 'package:stats':
##
## sd, var
library(modeest)##
## Attaching package: 'modeest'
## The following object is masked from 'package:fdth':
##
## mfv
library(pacman)
p_load("DT","prettydoc","xfun","readr", "datasets", "ggplot2", "beanplot")La siguiente variable corresponde a
naranjas <- Orange
names(naranjas)## [1] "Tree" "age" "circumference"
naranjas## Tree age circumference
## 1 1 118 30
## 2 1 484 58
## 3 1 664 87
## 4 1 1004 115
## 5 1 1231 120
## 6 1 1372 142
## 7 1 1582 145
## 8 2 118 33
## 9 2 484 69
## 10 2 664 111
## 11 2 1004 156
## 12 2 1231 172
## 13 2 1372 203
## 14 2 1582 203
## 15 3 118 30
## 16 3 484 51
## 17 3 664 75
## 18 3 1004 108
## 19 3 1231 115
## 20 3 1372 139
## 21 3 1582 140
## 22 4 118 32
## 23 4 484 62
## 24 4 664 112
## 25 4 1004 167
## 26 4 1231 179
## 27 4 1372 209
## 28 4 1582 214
## 29 5 118 30
## 30 5 484 49
## 31 5 664 81
## 32 5 1004 125
## 33 5 1231 142
## 34 5 1372 174
## 35 5 1582 177
Los datos anteriores corresponden a los datos de arboles de naranjas y posteriormente se hace la tabla de frecuencias donde: f= frecuencia absoluta rf= frecuencia relativa rf(%) frecuencia relativa porcentual cf= frecuencia acumulada cf(%)=frecuencia acumulada porcentual
tabla <- fdt(naranjas$age, breaks = "Sturges")
tabla## Class limits f rf rf(%) cf cf(%)
## [116.82,328.3914) 5 0.14 14.29 5 14.29
## [328.3914,539.9629) 5 0.14 14.29 10 28.57
## [539.9629,751.5343) 5 0.14 14.29 15 42.86
## [751.5343,963.1057) 0 0.00 0.00 15 42.86
## [963.1057,1174.677) 5 0.14 14.29 20 57.14
## [1174.677,1386.249) 10 0.29 28.57 30 85.71
## [1386.249,1597.82) 5 0.14 14.29 35 100.00
ahora ordenaremos los datos de menor a mayor
sort(naranjas$age)## [1] 118 118 118 118 118 484 484 484 484 484 664 664 664 664 664
## [16] 1004 1004 1004 1004 1004 1231 1231 1231 1231 1231 1372 1372 1372 1372 1372
## [31] 1582 1582 1582 1582 1582
Continuaremos con los histogramas de frecuencias
plot(tabla, type="fh")Histograma de frecuencias relativas
plot(tabla, type="rfh")Histograma de frecuencias acumuladas
plot(tabla, type="cfh")Ahora se continuara con los poligonos
Polígono de frecuencias absolutas
plot(tabla, type="fp") Polígono de frecuencias relativas
plot(tabla, type="rfp")Polígono de frecuencias acumuladas
plot(tabla, type="cfp")Ahora las medidas de tendencia central
Media
mean(naranjas$age)## [1] 922.1429
Mediana
median(naranjas$age)## [1] 1004
Moda
mlv(naranjas$age, method="mfv")## [1] 118 484 664 1004 1231 1372 1582
Los cuartiles, valor minimo y maximo
summary(naranjas$age)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 118.0 484.0 1004.0 922.1 1372.0 1582.0
El grafico de caja y bigote
boxplot(naranjas$age)Continuaremos con las medidas de dispersion lineal
Varianzq
var(naranjas$age)## [1] 241930.7
La desviación estándar
sd(naranjas$age)## [1] 491.8645
Gráfico de dispersión lineal
plot(naranjas$age)Analisis de regresion lineal
Tenemos los datos de cual es el numero de arbol, la edad del arbol y la circunferencia del tronco de naranjo.
Y con el fin de conocer la relacion de estas variables se elabora una matriz de diagramas de dispersion. Donde se puede ver una relacion clara entre la edad y la circunferencia.
pairs(naranjas) A continuacion se aplicara la regla de los minimos cuadrados donde el comando basico es lm (linear models)
regresion <- lm(circumference ~ age, data = naranjas)
summary(regresion)##
## Call:
## lm(formula = circumference ~ age, data = naranjas)
##
## Residuals:
## Min 1Q Median 3Q Max
## -46.310 -14.946 -0.076 19.697 45.111
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 17.399650 8.622660 2.018 0.0518 .
## age 0.106770 0.008277 12.900 1.93e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 23.74 on 33 degrees of freedom
## Multiple R-squared: 0.8345, Adjusted R-squared: 0.8295
## F-statistic: 166.4 on 1 and 33 DF, p-value: 1.931e-14
Intervalo de confianza
confint(regresion)## 2.5 % 97.5 %
## (Intercept) -0.14328303 34.9425835
## age 0.08993141 0.1236092
confint(regresion, level = 0.90)## 5 % 95 %
## (Intercept) 2.8070030 31.9922974
## age 0.0927633 0.1207774
Indice de correlacion de tipo pearson
cor(naranjas$age, naranjas$circumference)## [1] 0.9135189
Ecuacion de la recta de los minimos cuadrados
\[ y = 17.399650 + 0.106770x \]
cor.test(naranjas$age, naranjas$circumference)##
## Pearson's product-moment correlation
##
## data: naranjas$age and naranjas$circumference
## t = 12.9, df = 33, p-value = 1.931e-14
## alternative hypothesis: true correlation is not equal to 0
## 95 percent confidence interval:
## 0.8342364 0.9557955
## sample estimates:
## cor
## 0.9135189
y = 17.399650 + 0.106770*(664)
y## [1] 88.29493
A continuacion se muestra la grafica
plot(naranjas$age, naranjas$circumference, xlab="Edad de los arboles", ylab="Circunferencia del tronco")
abline(regresion)Estimacion de predicciones
nuevas.edades <- data.frame(age = seq(100,1600))
predict(regresion, nuevas.edades)## 1 2 3 4 5 6 7 8
## 28.07668 28.18345 28.29022 28.39699 28.50376 28.61053 28.71730 28.82408
## 9 10 11 12 13 14 15 16
## 28.93085 29.03762 29.14439 29.25116 29.35793 29.46470 29.57147 29.67824
## 17 18 19 20 21 22 23 24
## 29.78501 29.89178 29.99855 30.10532 30.21209 30.31886 30.42563 30.53240
## 25 26 27 28 29 30 31 32
## 30.63917 30.74594 30.85271 30.95948 31.06625 31.17302 31.27979 31.38656
## 33 34 35 36 37 38 39 40
## 31.49333 31.60010 31.70687 31.81364 31.92041 32.02718 32.13396 32.24073
## 41 42 43 44 45 46 47 48
## 32.34750 32.45427 32.56104 32.66781 32.77458 32.88135 32.98812 33.09489
## 49 50 51 52 53 54 55 56
## 33.20166 33.30843 33.41520 33.52197 33.62874 33.73551 33.84228 33.94905
## 57 58 59 60 61 62 63 64
## 34.05582 34.16259 34.26936 34.37613 34.48290 34.58967 34.69644 34.80321
## 65 66 67 68 69 70 71 72
## 34.90998 35.01675 35.12352 35.23029 35.33706 35.44384 35.55061 35.65738
## 73 74 75 76 77 78 79 80
## 35.76415 35.87092 35.97769 36.08446 36.19123 36.29800 36.40477 36.51154
## 81 82 83 84 85 86 87 88
## 36.61831 36.72508 36.83185 36.93862 37.04539 37.15216 37.25893 37.36570
## 89 90 91 92 93 94 95 96
## 37.47247 37.57924 37.68601 37.79278 37.89955 38.00632 38.11309 38.21986
## 97 98 99 100 101 102 103 104
## 38.32663 38.43340 38.54017 38.64694 38.75372 38.86049 38.96726 39.07403
## 105 106 107 108 109 110 111 112
## 39.18080 39.28757 39.39434 39.50111 39.60788 39.71465 39.82142 39.92819
## 113 114 115 116 117 118 119 120
## 40.03496 40.14173 40.24850 40.35527 40.46204 40.56881 40.67558 40.78235
## 121 122 123 124 125 126 127 128
## 40.88912 40.99589 41.10266 41.20943 41.31620 41.42297 41.52974 41.63651
## 129 130 131 132 133 134 135 136
## 41.74328 41.85005 41.95683 42.06360 42.17037 42.27714 42.38391 42.49068
## 137 138 139 140 141 142 143 144
## 42.59745 42.70422 42.81099 42.91776 43.02453 43.13130 43.23807 43.34484
## 145 146 147 148 149 150 151 152
## 43.45161 43.55838 43.66515 43.77192 43.87869 43.98546 44.09223 44.19900
## 153 154 155 156 157 158 159 160
## 44.30577 44.41254 44.51931 44.62608 44.73285 44.83962 44.94639 45.05316
## 161 162 163 164 165 166 167 168
## 45.15993 45.26671 45.37348 45.48025 45.58702 45.69379 45.80056 45.90733
## 169 170 171 172 173 174 175 176
## 46.01410 46.12087 46.22764 46.33441 46.44118 46.54795 46.65472 46.76149
## 177 178 179 180 181 182 183 184
## 46.86826 46.97503 47.08180 47.18857 47.29534 47.40211 47.50888 47.61565
## 185 186 187 188 189 190 191 192
## 47.72242 47.82919 47.93596 48.04273 48.14950 48.25627 48.36304 48.46981
## 193 194 195 196 197 198 199 200
## 48.57659 48.68336 48.79013 48.89690 49.00367 49.11044 49.21721 49.32398
## 201 202 203 204 205 206 207 208
## 49.43075 49.53752 49.64429 49.75106 49.85783 49.96460 50.07137 50.17814
## 209 210 211 212 213 214 215 216
## 50.28491 50.39168 50.49845 50.60522 50.71199 50.81876 50.92553 51.03230
## 217 218 219 220 221 222 223 224
## 51.13907 51.24584 51.35261 51.45938 51.56615 51.67292 51.77969 51.88647
## 225 226 227 228 229 230 231 232
## 51.99324 52.10001 52.20678 52.31355 52.42032 52.52709 52.63386 52.74063
## 233 234 235 236 237 238 239 240
## 52.84740 52.95417 53.06094 53.16771 53.27448 53.38125 53.48802 53.59479
## 241 242 243 244 245 246 247 248
## 53.70156 53.80833 53.91510 54.02187 54.12864 54.23541 54.34218 54.44895
## 249 250 251 252 253 254 255 256
## 54.55572 54.66249 54.76926 54.87603 54.98280 55.08957 55.19635 55.30312
## 257 258 259 260 261 262 263 264
## 55.40989 55.51666 55.62343 55.73020 55.83697 55.94374 56.05051 56.15728
## 265 266 267 268 269 270 271 272
## 56.26405 56.37082 56.47759 56.58436 56.69113 56.79790 56.90467 57.01144
## 273 274 275 276 277 278 279 280
## 57.11821 57.22498 57.33175 57.43852 57.54529 57.65206 57.75883 57.86560
## 281 282 283 284 285 286 287 288
## 57.97237 58.07914 58.18591 58.29268 58.39946 58.50623 58.61300 58.71977
## 289 290 291 292 293 294 295 296
## 58.82654 58.93331 59.04008 59.14685 59.25362 59.36039 59.46716 59.57393
## 297 298 299 300 301 302 303 304
## 59.68070 59.78747 59.89424 60.00101 60.10778 60.21455 60.32132 60.42809
## 305 306 307 308 309 310 311 312
## 60.53486 60.64163 60.74840 60.85517 60.96194 61.06871 61.17548 61.28225
## 313 314 315 316 317 318 319 320
## 61.38902 61.49579 61.60256 61.70934 61.81611 61.92288 62.02965 62.13642
## 321 322 323 324 325 326 327 328
## 62.24319 62.34996 62.45673 62.56350 62.67027 62.77704 62.88381 62.99058
## 329 330 331 332 333 334 335 336
## 63.09735 63.20412 63.31089 63.41766 63.52443 63.63120 63.73797 63.84474
## 337 338 339 340 341 342 343 344
## 63.95151 64.05828 64.16505 64.27182 64.37859 64.48536 64.59213 64.69890
## 345 346 347 348 349 350 351 352
## 64.80567 64.91244 65.01922 65.12599 65.23276 65.33953 65.44630 65.55307
## 353 354 355 356 357 358 359 360
## 65.65984 65.76661 65.87338 65.98015 66.08692 66.19369 66.30046 66.40723
## 361 362 363 364 365 366 367 368
## 66.51400 66.62077 66.72754 66.83431 66.94108 67.04785 67.15462 67.26139
## 369 370 371 372 373 374 375 376
## 67.36816 67.47493 67.58170 67.68847 67.79524 67.90201 68.00878 68.11555
## 377 378 379 380 381 382 383 384
## 68.22232 68.32910 68.43587 68.54264 68.64941 68.75618 68.86295 68.96972
## 385 386 387 388 389 390 391 392
## 69.07649 69.18326 69.29003 69.39680 69.50357 69.61034 69.71711 69.82388
## 393 394 395 396 397 398 399 400
## 69.93065 70.03742 70.14419 70.25096 70.35773 70.46450 70.57127 70.67804
## 401 402 403 404 405 406 407 408
## 70.78481 70.89158 70.99835 71.10512 71.21189 71.31866 71.42543 71.53221
## 409 410 411 412 413 414 415 416
## 71.63898 71.74575 71.85252 71.95929 72.06606 72.17283 72.27960 72.38637
## 417 418 419 420 421 422 423 424
## 72.49314 72.59991 72.70668 72.81345 72.92022 73.02699 73.13376 73.24053
## 425 426 427 428 429 430 431 432
## 73.34730 73.45407 73.56084 73.66761 73.77438 73.88115 73.98792 74.09469
## 433 434 435 436 437 438 439 440
## 74.20146 74.30823 74.41500 74.52177 74.62854 74.73531 74.84209 74.94886
## 441 442 443 444 445 446 447 448
## 75.05563 75.16240 75.26917 75.37594 75.48271 75.58948 75.69625 75.80302
## 449 450 451 452 453 454 455 456
## 75.90979 76.01656 76.12333 76.23010 76.33687 76.44364 76.55041 76.65718
## 457 458 459 460 461 462 463 464
## 76.76395 76.87072 76.97749 77.08426 77.19103 77.29780 77.40457 77.51134
## 465 466 467 468 469 470 471 472
## 77.61811 77.72488 77.83165 77.93842 78.04519 78.15197 78.25874 78.36551
## 473 474 475 476 477 478 479 480
## 78.47228 78.57905 78.68582 78.79259 78.89936 79.00613 79.11290 79.21967
## 481 482 483 484 485 486 487 488
## 79.32644 79.43321 79.53998 79.64675 79.75352 79.86029 79.96706 80.07383
## 489 490 491 492 493 494 495 496
## 80.18060 80.28737 80.39414 80.50091 80.60768 80.71445 80.82122 80.92799
## 497 498 499 500 501 502 503 504
## 81.03476 81.14153 81.24830 81.35507 81.46185 81.56862 81.67539 81.78216
## 505 506 507 508 509 510 511 512
## 81.88893 81.99570 82.10247 82.20924 82.31601 82.42278 82.52955 82.63632
## 513 514 515 516 517 518 519 520
## 82.74309 82.84986 82.95663 83.06340 83.17017 83.27694 83.38371 83.49048
## 521 522 523 524 525 526 527 528
## 83.59725 83.70402 83.81079 83.91756 84.02433 84.13110 84.23787 84.34464
## 529 530 531 532 533 534 535 536
## 84.45141 84.55818 84.66496 84.77173 84.87850 84.98527 85.09204 85.19881
## 537 538 539 540 541 542 543 544
## 85.30558 85.41235 85.51912 85.62589 85.73266 85.83943 85.94620 86.05297
## 545 546 547 548 549 550 551 552
## 86.15974 86.26651 86.37328 86.48005 86.58682 86.69359 86.80036 86.90713
## 553 554 555 556 557 558 559 560
## 87.01390 87.12067 87.22744 87.33421 87.44098 87.54775 87.65452 87.76129
## 561 562 563 564 565 566 567 568
## 87.86806 87.97484 88.08161 88.18838 88.29515 88.40192 88.50869 88.61546
## 569 570 571 572 573 574 575 576
## 88.72223 88.82900 88.93577 89.04254 89.14931 89.25608 89.36285 89.46962
## 577 578 579 580 581 582 583 584
## 89.57639 89.68316 89.78993 89.89670 90.00347 90.11024 90.21701 90.32378
## 585 586 587 588 589 590 591 592
## 90.43055 90.53732 90.64409 90.75086 90.85763 90.96440 91.07117 91.17794
## 593 594 595 596 597 598 599 600
## 91.28472 91.39149 91.49826 91.60503 91.71180 91.81857 91.92534 92.03211
## 601 602 603 604 605 606 607 608
## 92.13888 92.24565 92.35242 92.45919 92.56596 92.67273 92.77950 92.88627
## 609 610 611 612 613 614 615 616
## 92.99304 93.09981 93.20658 93.31335 93.42012 93.52689 93.63366 93.74043
## 617 618 619 620 621 622 623 624
## 93.84720 93.95397 94.06074 94.16751 94.27428 94.38105 94.48782 94.59460
## 625 626 627 628 629 630 631 632
## 94.70137 94.80814 94.91491 95.02168 95.12845 95.23522 95.34199 95.44876
## 633 634 635 636 637 638 639 640
## 95.55553 95.66230 95.76907 95.87584 95.98261 96.08938 96.19615 96.30292
## 641 642 643 644 645 646 647 648
## 96.40969 96.51646 96.62323 96.73000 96.83677 96.94354 97.05031 97.15708
## 649 650 651 652 653 654 655 656
## 97.26385 97.37062 97.47739 97.58416 97.69093 97.79771 97.90448 98.01125
## 657 658 659 660 661 662 663 664
## 98.11802 98.22479 98.33156 98.43833 98.54510 98.65187 98.75864 98.86541
## 665 666 667 668 669 670 671 672
## 98.97218 99.07895 99.18572 99.29249 99.39926 99.50603 99.61280 99.71957
## 673 674 675 676 677 678 679 680
## 99.82634 99.93311 100.03988 100.14665 100.25342 100.36019 100.46696 100.57373
## 681 682 683 684 685 686 687 688
## 100.68050 100.78727 100.89404 101.00081 101.10759 101.21436 101.32113 101.42790
## 689 690 691 692 693 694 695 696
## 101.53467 101.64144 101.74821 101.85498 101.96175 102.06852 102.17529 102.28206
## 697 698 699 700 701 702 703 704
## 102.38883 102.49560 102.60237 102.70914 102.81591 102.92268 103.02945 103.13622
## 705 706 707 708 709 710 711 712
## 103.24299 103.34976 103.45653 103.56330 103.67007 103.77684 103.88361 103.99038
## 713 714 715 716 717 718 719 720
## 104.09715 104.20392 104.31069 104.41747 104.52424 104.63101 104.73778 104.84455
## 721 722 723 724 725 726 727 728
## 104.95132 105.05809 105.16486 105.27163 105.37840 105.48517 105.59194 105.69871
## 729 730 731 732 733 734 735 736
## 105.80548 105.91225 106.01902 106.12579 106.23256 106.33933 106.44610 106.55287
## 737 738 739 740 741 742 743 744
## 106.65964 106.76641 106.87318 106.97995 107.08672 107.19349 107.30026 107.40703
## 745 746 747 748 749 750 751 752
## 107.51380 107.62057 107.72735 107.83412 107.94089 108.04766 108.15443 108.26120
## 753 754 755 756 757 758 759 760
## 108.36797 108.47474 108.58151 108.68828 108.79505 108.90182 109.00859 109.11536
## 761 762 763 764 765 766 767 768
## 109.22213 109.32890 109.43567 109.54244 109.64921 109.75598 109.86275 109.96952
## 769 770 771 772 773 774 775 776
## 110.07629 110.18306 110.28983 110.39660 110.50337 110.61014 110.71691 110.82368
## 777 778 779 780 781 782 783 784
## 110.93046 111.03723 111.14400 111.25077 111.35754 111.46431 111.57108 111.67785
## 785 786 787 788 789 790 791 792
## 111.78462 111.89139 111.99816 112.10493 112.21170 112.31847 112.42524 112.53201
## 793 794 795 796 797 798 799 800
## 112.63878 112.74555 112.85232 112.95909 113.06586 113.17263 113.27940 113.38617
## 801 802 803 804 805 806 807 808
## 113.49294 113.59971 113.70648 113.81325 113.92002 114.02679 114.13356 114.24034
## 809 810 811 812 813 814 815 816
## 114.34711 114.45388 114.56065 114.66742 114.77419 114.88096 114.98773 115.09450
## 817 818 819 820 821 822 823 824
## 115.20127 115.30804 115.41481 115.52158 115.62835 115.73512 115.84189 115.94866
## 825 826 827 828 829 830 831 832
## 116.05543 116.16220 116.26897 116.37574 116.48251 116.58928 116.69605 116.80282
## 833 834 835 836 837 838 839 840
## 116.90959 117.01636 117.12313 117.22990 117.33667 117.44344 117.55022 117.65699
## 841 842 843 844 845 846 847 848
## 117.76376 117.87053 117.97730 118.08407 118.19084 118.29761 118.40438 118.51115
## 849 850 851 852 853 854 855 856
## 118.61792 118.72469 118.83146 118.93823 119.04500 119.15177 119.25854 119.36531
## 857 858 859 860 861 862 863 864
## 119.47208 119.57885 119.68562 119.79239 119.89916 120.00593 120.11270 120.21947
## 865 866 867 868 869 870 871 872
## 120.32624 120.43301 120.53978 120.64655 120.75332 120.86010 120.96687 121.07364
## 873 874 875 876 877 878 879 880
## 121.18041 121.28718 121.39395 121.50072 121.60749 121.71426 121.82103 121.92780
## 881 882 883 884 885 886 887 888
## 122.03457 122.14134 122.24811 122.35488 122.46165 122.56842 122.67519 122.78196
## 889 890 891 892 893 894 895 896
## 122.88873 122.99550 123.10227 123.20904 123.31581 123.42258 123.52935 123.63612
## 897 898 899 900 901 902 903 904
## 123.74289 123.84966 123.95643 124.06320 124.16998 124.27675 124.38352 124.49029
## 905 906 907 908 909 910 911 912
## 124.59706 124.70383 124.81060 124.91737 125.02414 125.13091 125.23768 125.34445
## 913 914 915 916 917 918 919 920
## 125.45122 125.55799 125.66476 125.77153 125.87830 125.98507 126.09184 126.19861
## 921 922 923 924 925 926 927 928
## 126.30538 126.41215 126.51892 126.62569 126.73246 126.83923 126.94600 127.05277
## 929 930 931 932 933 934 935 936
## 127.15954 127.26631 127.37309 127.47986 127.58663 127.69340 127.80017 127.90694
## 937 938 939 940 941 942 943 944
## 128.01371 128.12048 128.22725 128.33402 128.44079 128.54756 128.65433 128.76110
## 945 946 947 948 949 950 951 952
## 128.86787 128.97464 129.08141 129.18818 129.29495 129.40172 129.50849 129.61526
## 953 954 955 956 957 958 959 960
## 129.72203 129.82880 129.93557 130.04234 130.14911 130.25588 130.36265 130.46942
## 961 962 963 964 965 966 967 968
## 130.57619 130.68297 130.78974 130.89651 131.00328 131.11005 131.21682 131.32359
## 969 970 971 972 973 974 975 976
## 131.43036 131.53713 131.64390 131.75067 131.85744 131.96421 132.07098 132.17775
## 977 978 979 980 981 982 983 984
## 132.28452 132.39129 132.49806 132.60483 132.71160 132.81837 132.92514 133.03191
## 985 986 987 988 989 990 991 992
## 133.13868 133.24545 133.35222 133.45899 133.56576 133.67253 133.77930 133.88607
## 993 994 995 996 997 998 999 1000
## 133.99285 134.09962 134.20639 134.31316 134.41993 134.52670 134.63347 134.74024
## 1001 1002 1003 1004 1005 1006 1007 1008
## 134.84701 134.95378 135.06055 135.16732 135.27409 135.38086 135.48763 135.59440
## 1009 1010 1011 1012 1013 1014 1015 1016
## 135.70117 135.80794 135.91471 136.02148 136.12825 136.23502 136.34179 136.44856
## 1017 1018 1019 1020 1021 1022 1023 1024
## 136.55533 136.66210 136.76887 136.87564 136.98241 137.08918 137.19595 137.30273
## 1025 1026 1027 1028 1029 1030 1031 1032
## 137.40950 137.51627 137.62304 137.72981 137.83658 137.94335 138.05012 138.15689
## 1033 1034 1035 1036 1037 1038 1039 1040
## 138.26366 138.37043 138.47720 138.58397 138.69074 138.79751 138.90428 139.01105
## 1041 1042 1043 1044 1045 1046 1047 1048
## 139.11782 139.22459 139.33136 139.43813 139.54490 139.65167 139.75844 139.86521
## 1049 1050 1051 1052 1053 1054 1055 1056
## 139.97198 140.07875 140.18552 140.29229 140.39906 140.50584 140.61261 140.71938
## 1057 1058 1059 1060 1061 1062 1063 1064
## 140.82615 140.93292 141.03969 141.14646 141.25323 141.36000 141.46677 141.57354
## 1065 1066 1067 1068 1069 1070 1071 1072
## 141.68031 141.78708 141.89385 142.00062 142.10739 142.21416 142.32093 142.42770
## 1073 1074 1075 1076 1077 1078 1079 1080
## 142.53447 142.64124 142.74801 142.85478 142.96155 143.06832 143.17509 143.28186
## 1081 1082 1083 1084 1085 1086 1087 1088
## 143.38863 143.49540 143.60217 143.70894 143.81572 143.92249 144.02926 144.13603
## 1089 1090 1091 1092 1093 1094 1095 1096
## 144.24280 144.34957 144.45634 144.56311 144.66988 144.77665 144.88342 144.99019
## 1097 1098 1099 1100 1101 1102 1103 1104
## 145.09696 145.20373 145.31050 145.41727 145.52404 145.63081 145.73758 145.84435
## 1105 1106 1107 1108 1109 1110 1111 1112
## 145.95112 146.05789 146.16466 146.27143 146.37820 146.48497 146.59174 146.69851
## 1113 1114 1115 1116 1117 1118 1119 1120
## 146.80528 146.91205 147.01882 147.12560 147.23237 147.33914 147.44591 147.55268
## 1121 1122 1123 1124 1125 1126 1127 1128
## 147.65945 147.76622 147.87299 147.97976 148.08653 148.19330 148.30007 148.40684
## 1129 1130 1131 1132 1133 1134 1135 1136
## 148.51361 148.62038 148.72715 148.83392 148.94069 149.04746 149.15423 149.26100
## 1137 1138 1139 1140 1141 1142 1143 1144
## 149.36777 149.47454 149.58131 149.68808 149.79485 149.90162 150.00839 150.11516
## 1145 1146 1147 1148 1149 1150 1151 1152
## 150.22193 150.32870 150.43548 150.54225 150.64902 150.75579 150.86256 150.96933
## 1153 1154 1155 1156 1157 1158 1159 1160
## 151.07610 151.18287 151.28964 151.39641 151.50318 151.60995 151.71672 151.82349
## 1161 1162 1163 1164 1165 1166 1167 1168
## 151.93026 152.03703 152.14380 152.25057 152.35734 152.46411 152.57088 152.67765
## 1169 1170 1171 1172 1173 1174 1175 1176
## 152.78442 152.89119 152.99796 153.10473 153.21150 153.31827 153.42504 153.53181
## 1177 1178 1179 1180 1181 1182 1183 1184
## 153.63859 153.74536 153.85213 153.95890 154.06567 154.17244 154.27921 154.38598
## 1185 1186 1187 1188 1189 1190 1191 1192
## 154.49275 154.59952 154.70629 154.81306 154.91983 155.02660 155.13337 155.24014
## 1193 1194 1195 1196 1197 1198 1199 1200
## 155.34691 155.45368 155.56045 155.66722 155.77399 155.88076 155.98753 156.09430
## 1201 1202 1203 1204 1205 1206 1207 1208
## 156.20107 156.30784 156.41461 156.52138 156.62815 156.73492 156.84169 156.94847
## 1209 1210 1211 1212 1213 1214 1215 1216
## 157.05524 157.16201 157.26878 157.37555 157.48232 157.58909 157.69586 157.80263
## 1217 1218 1219 1220 1221 1222 1223 1224
## 157.90940 158.01617 158.12294 158.22971 158.33648 158.44325 158.55002 158.65679
## 1225 1226 1227 1228 1229 1230 1231 1232
## 158.76356 158.87033 158.97710 159.08387 159.19064 159.29741 159.40418 159.51095
## 1233 1234 1235 1236 1237 1238 1239 1240
## 159.61772 159.72449 159.83126 159.93803 160.04480 160.15157 160.25835 160.36512
## 1241 1242 1243 1244 1245 1246 1247 1248
## 160.47189 160.57866 160.68543 160.79220 160.89897 161.00574 161.11251 161.21928
## 1249 1250 1251 1252 1253 1254 1255 1256
## 161.32605 161.43282 161.53959 161.64636 161.75313 161.85990 161.96667 162.07344
## 1257 1258 1259 1260 1261 1262 1263 1264
## 162.18021 162.28698 162.39375 162.50052 162.60729 162.71406 162.82083 162.92760
## 1265 1266 1267 1268 1269 1270 1271 1272
## 163.03437 163.14114 163.24791 163.35468 163.46145 163.56823 163.67500 163.78177
## 1273 1274 1275 1276 1277 1278 1279 1280
## 163.88854 163.99531 164.10208 164.20885 164.31562 164.42239 164.52916 164.63593
## 1281 1282 1283 1284 1285 1286 1287 1288
## 164.74270 164.84947 164.95624 165.06301 165.16978 165.27655 165.38332 165.49009
## 1289 1290 1291 1292 1293 1294 1295 1296
## 165.59686 165.70363 165.81040 165.91717 166.02394 166.13071 166.23748 166.34425
## 1297 1298 1299 1300 1301 1302 1303 1304
## 166.45102 166.55779 166.66456 166.77134 166.87811 166.98488 167.09165 167.19842
## 1305 1306 1307 1308 1309 1310 1311 1312
## 167.30519 167.41196 167.51873 167.62550 167.73227 167.83904 167.94581 168.05258
## 1313 1314 1315 1316 1317 1318 1319 1320
## 168.15935 168.26612 168.37289 168.47966 168.58643 168.69320 168.79997 168.90674
## 1321 1322 1323 1324 1325 1326 1327 1328
## 169.01351 169.12028 169.22705 169.33382 169.44059 169.54736 169.65413 169.76090
## 1329 1330 1331 1332 1333 1334 1335 1336
## 169.86767 169.97444 170.08122 170.18799 170.29476 170.40153 170.50830 170.61507
## 1337 1338 1339 1340 1341 1342 1343 1344
## 170.72184 170.82861 170.93538 171.04215 171.14892 171.25569 171.36246 171.46923
## 1345 1346 1347 1348 1349 1350 1351 1352
## 171.57600 171.68277 171.78954 171.89631 172.00308 172.10985 172.21662 172.32339
## 1353 1354 1355 1356 1357 1358 1359 1360
## 172.43016 172.53693 172.64370 172.75047 172.85724 172.96401 173.07078 173.17755
## 1361 1362 1363 1364 1365 1366 1367 1368
## 173.28432 173.39110 173.49787 173.60464 173.71141 173.81818 173.92495 174.03172
## 1369 1370 1371 1372 1373 1374 1375 1376
## 174.13849 174.24526 174.35203 174.45880 174.56557 174.67234 174.77911 174.88588
## 1377 1378 1379 1380 1381 1382 1383 1384
## 174.99265 175.09942 175.20619 175.31296 175.41973 175.52650 175.63327 175.74004
## 1385 1386 1387 1388 1389 1390 1391 1392
## 175.84681 175.95358 176.06035 176.16712 176.27389 176.38066 176.48743 176.59420
## 1393 1394 1395 1396 1397 1398 1399 1400
## 176.70098 176.80775 176.91452 177.02129 177.12806 177.23483 177.34160 177.44837
## 1401 1402 1403 1404 1405 1406 1407 1408
## 177.55514 177.66191 177.76868 177.87545 177.98222 178.08899 178.19576 178.30253
## 1409 1410 1411 1412 1413 1414 1415 1416
## 178.40930 178.51607 178.62284 178.72961 178.83638 178.94315 179.04992 179.15669
## 1417 1418 1419 1420 1421 1422 1423 1424
## 179.26346 179.37023 179.47700 179.58377 179.69054 179.79731 179.90408 180.01086
## 1425 1426 1427 1428 1429 1430 1431 1432
## 180.11763 180.22440 180.33117 180.43794 180.54471 180.65148 180.75825 180.86502
## 1433 1434 1435 1436 1437 1438 1439 1440
## 180.97179 181.07856 181.18533 181.29210 181.39887 181.50564 181.61241 181.71918
## 1441 1442 1443 1444 1445 1446 1447 1448
## 181.82595 181.93272 182.03949 182.14626 182.25303 182.35980 182.46657 182.57334
## 1449 1450 1451 1452 1453 1454 1455 1456
## 182.68011 182.78688 182.89365 183.00042 183.10719 183.21397 183.32074 183.42751
## 1457 1458 1459 1460 1461 1462 1463 1464
## 183.53428 183.64105 183.74782 183.85459 183.96136 184.06813 184.17490 184.28167
## 1465 1466 1467 1468 1469 1470 1471 1472
## 184.38844 184.49521 184.60198 184.70875 184.81552 184.92229 185.02906 185.13583
## 1473 1474 1475 1476 1477 1478 1479 1480
## 185.24260 185.34937 185.45614 185.56291 185.66968 185.77645 185.88322 185.98999
## 1481 1482 1483 1484 1485 1486 1487 1488
## 186.09676 186.20353 186.31030 186.41707 186.52385 186.63062 186.73739 186.84416
## 1489 1490 1491 1492 1493 1494 1495 1496
## 186.95093 187.05770 187.16447 187.27124 187.37801 187.48478 187.59155 187.69832
## 1497 1498 1499 1500 1501
## 187.80509 187.91186 188.01863 188.12540 188.23217
Serian mas pero tuvo un limite
nuevas.edades <- data.frame(age = seq(100,1600))
#Gráfico de dispersión y recta
plot(naranjas$age, naranjas$circumference, xlab="Edad de los arboles", ylab="Circunferencia del tronco")
abline(regresion)xfun::embed_file("Tarea repaso.RMD")