ANÁLISIS ESTADÍSTICO

1. CARGA DE LIBRERÍAS Y DATOS

library(dplyr)
library(knitr)
library(gt)
setwd("C:/Users/HP/Documents/PROYECTO ESTADISTICA/RStudio")
datos <- read.csv("tabla original.csv", header = TRUE, sep = ";", dec = ",")

2. TABLA PARES DE VALORES

A mayor profundidad, aumenta la presión y la producción inicial de gas. Sin embargo, por límites físicos, este crecimiento se desacelera y se estabiliza.

# Extraer variables solicitadas
profundidad <- as.numeric(datos$Vertical.depth.of.well)
combustible <- as.numeric(datos$Fuel.consumed..drilling.in.gallon.)

# Generamos dataset inicial limpio de vacíos y ceros
TPV_inicial <- data.frame(profundidad = profundidad, combustible = combustible)
TPV_inicial <- na.omit(TPV_inicial)
TPV_inicial <- TPV_inicial[TPV_inicial$profundidad > 0 & TPV_inicial$combustible > 0, ]
total_inicial <- nrow(TPV_inicial)

Total de Dataset

## [1] 12561

Uso de Intercuartil

# Calcular límites intercuartílicos globales para Profundidad Vertical (X)
q1_p <- quantile(TPV_inicial$profundidad, 0.25)
q3_p <- quantile(TPV_inicial$profundidad, 0.75)
iqr_p <- q3_p - q1_p

# Calcular límites intercuartílicos globales para Combustible Consumido (Y)
q1_c <- quantile(TPV_inicial$combustible, 0.25)
q3_c <- quantile(TPV_inicial$combustible, 0.75)
iqr_c <- q3_c - q1_c

# Aplicar filtro de Outliers IQR a todo el dataset
TPV_sin_outliers <- TPV_inicial %>%
  filter(profundidad >= (q1_p - 1.5 * iqr_p) & profundidad <= (q3_p + 1.5 * iqr_p)) %>%
  filter(combustible >= (q1_c - 1.5 * iqr_c) & combustible <= (q3_c + 1.5 * iqr_c))

total_restante_outliers <- nrow(TPV_sin_outliers)
outliers_encontrados <- total_inicial - total_restante_outliers

Uso de Media Aritmetica

# Calcular la media de Y (combustible) agrupado por cada X (profundidad) única
TPV <- TPV_sin_outliers %>%
  group_by(profundidad) %>%
  summarise(combustible = mean(combustible, na.rm = TRUE)) %>%
  ungroup()

row.names(TPV) <- NULL
TPV_final_id <- cbind(Nro = 1:nrow(TPV), TPV)

Outliers encontrados por Intercuartil

## [1] 1445

Total de pares de valores

## [1] 11116
Tabla N°1. Registro de Pares de Valores Consolidados y Ordenados
Profundidad Vertical (X) Combustible Consumido Promedio (Y)
1 157.9 500.0
2 190.2 500.0
3 195.1 500.0
4 207.3 500.0
5 210.9 500.0
6 214.9 500.0
7 216.4 500.0
8 222.5 500.0
9 224.0 500.0
10 225.6 500.0
11 229.8 500.0
12 231.6 500.0
13 232.6 500.0
14 233.5 500.0
15 234.7 500.0
16 239.3 500.0
17 239.9 500.0
18 243.8 500.0
19 246.9 500.0
20 248.4 500.0
21 248.7 500.0
22 249.9 500.0
23 251.2 500.0
24 253.0 500.0
25 255.7 500.0
26 256.0 500.0
27 256.6 500.0
28 256.9 500.0
29 260.6 500.0
30 262.1 500.0
31 265.2 500.0
32 266.7 500.0
33 269.7 500.0
34 270.1 500.0
35 274.3 500.0
36 277.4 500.0
37 277.7 1,000.0
38 278.6 500.0
39 278.9 500.0
40 281.9 1,000.0
41 283.5 500.0
42 286.5 500.0
43 289.6 500.0
44 291.7 1,000.0
45 292.6 600.0
46 292.9 1,000.0
47 294.1 500.0
48 295.7 750.0
49 299.6 1,000.0
50 300.2 1,000.0
51 304.8 1,000.0
52 306.9 1,000.0
53 307.8 1,000.0
54 308.5 1,000.0
55 310.0 1,000.0
56 310.9 1,000.0
57 312.4 1,000.0
58 313.9 1,000.0
59 316.1 1,000.0
60 317.0 1,000.0
61 318.2 1,000.0
62 318.5 1,000.0
63 320.0 1,000.0
64 321.3 1,000.0
65 323.1 1,000.0
66 324.6 1,000.0
67 326.1 1,000.0
68 328.6 1,000.0
69 329.2 1,000.0
70 330.7 1,000.0
71 331.0 1,000.0
72 331.6 1,000.0
73 332.8 1,000.0
74 333.1 1,000.0
75 333.5 1,000.0
76 333.8 1,000.0
77 335.3 1,000.0
78 338.0 1,000.0
79 338.3 1,000.0
80 338.6 1,000.0
81 339.9 1,000.0
82 340.5 1,000.0
83 341.4 1,000.0
84 344.4 1,000.0
85 347.5 1,000.0
86 349.0 1,000.0
87 350.5 1,000.0
88 350.8 1,000.0
89 352.0 1,000.0
90 352.3 1,000.0
91 352.7 1,000.0
92 353.6 1,000.0
93 354.8 1,000.0
94 355.1 1,000.0
95 356.0 1,000.0
96 356.6 1,000.0
97 358.1 1,000.0
98 358.7 1,000.0
99 359.1 1,000.0
100 359.7 1,000.0
101 361.2 1,000.0
102 362.7 1,000.0
103 365.8 1,000.0
104 367.3 1,000.0
105 367.6 1,000.0
106 368.2 1,000.0
107 368.8 1,000.0
108 369.1 1,000.0
109 370.3 1,000.0
110 371.9 1,000.0
111 372.5 1,000.0
112 373.4 1,000.0
113 374.9 1,000.0
114 375.8 1,000.0
115 376.4 1,000.0
116 378.0 1,000.0
117 378.6 1,350.0
118 379.5 1,000.0
119 380.4 1,000.0
120 381.0 1,000.0
121 382.2 1,000.0
122 384.0 1,000.0
123 385.0 1,000.0
124 385.6 1,000.0
125 386.8 1,000.0
126 387.1 1,000.0
127 388.0 1,000.0
128 388.6 1,000.0
129 389.5 1,000.0
130 390.1 1,000.0
131 390.8 1,000.0
132 391.7 1,000.0
133 392.0 1,000.0
134 392.9 1,000.0
135 393.2 1,000.0
136 394.7 1,000.0
137 395.3 1,000.0
138 395.9 1,000.0
139 396.2 1,000.0
140 399.3 1,000.0
141 400.2 1,000.0
142 400.8 1,000.0
143 401.4 1,000.0
144 402.3 1,000.0
145 403.9 1,000.0
146 404.5 1,000.0
147 404.8 1,000.0
148 405.4 1,000.0
149 405.7 1,000.0
150 406.3 1,000.0
151 406.9 1,000.0
152 407.2 1,000.0
153 408.4 1,000.0
154 409.0 1,000.0
155 410.0 1,058.3
156 410.9 1,000.0
157 411.5 1,000.0
158 411.8 1,000.0
159 412.7 1,000.0
160 413.0 1,000.0
161 414.5 1,055.6
162 416.1 1,000.0
163 416.4 1,000.0
164 417.6 1,000.0
165 418.8 1,000.0
166 419.1 1,000.0
167 419.4 1,000.0
168 420.3 1,000.0
169 420.6 1,000.0
170 420.9 1,000.0
171 421.5 1,000.0
172 422.1 1,000.0
173 423.7 1,000.0
174 425.2 1,000.0
175 425.8 1,000.0
176 426.7 1,000.0
177 427.6 1,000.0
178 428.2 1,000.0
179 428.5 1,000.0
180 429.5 1,000.0
181 429.8 1,000.0
182 430.1 1,000.0
183 431.0 1,000.0
184 431.3 1,000.0
185 431.9 1,000.0
186 432.2 1,000.0
187 432.8 1,000.0
188 434.3 1,000.0
189 435.6 1,000.0
190 435.9 1,000.0
191 436.5 1,000.0
192 437.4 1,000.0
193 437.7 1,000.0
194 438.9 1,000.0
195 439.2 1,000.0
196 439.8 1,000.0
197 440.4 1,000.0
198 442.0 1,000.0
199 442.3 1,000.0
200 443.5 1,000.0
201 445.0 1,000.0
202 446.5 1,083.3
203 446.8 1,000.0
204 448.1 1,000.0
205 449.0 1,000.0
206 449.6 1,000.0
207 450.5 1,000.0
208 450.8 1,000.0
209 451.1 1,000.0
210 452.6 1,000.0
211 453.2 1,000.0
212 454.2 1,000.0
213 455.7 1,116.7
214 456.0 2,500.0
215 456.6 1,000.0
216 457.2 1,000.0
217 457.5 1,000.0
218 458.7 1,000.0
219 459.0 1,000.0
220 459.3 1,000.0
221 460.2 1,000.0
222 460.9 1,000.0
223 461.8 1,000.0
224 463.3 1,000.0
225 463.6 1,000.0
226 463.9 1,000.0
227 464.8 1,000.0
228 466.3 1,000.0
229 466.6 1,000.0
230 467.0 2,100.0
231 467.9 1,000.0
232 469.1 1,000.0
233 469.4 1,000.0
234 469.7 1,000.0
235 470.0 1,000.0
236 470.6 1,000.0
237 472.4 1,000.0
238 473.4 1,000.0
239 474.0 1,000.0
240 474.9 1,000.0
241 475.5 1,000.0
242 475.8 1,000.0
243 476.1 1,000.0
244 477.0 1,000.0
245 477.6 1,000.0
246 477.9 1,000.0
247 478.2 1,000.0
248 478.5 1,300.0
249 479.1 1,000.0
250 479.5 1,000.0
251 480.1 1,000.0
252 481.6 1,000.0
253 482.2 1,000.0
254 483.1 1,000.0
255 484.6 1,000.0
256 485.2 1,000.0
257 486.2 1,000.0
258 487.7 1,000.0
259 489.2 1,000.0
260 490.4 1,000.0
261 490.7 1,000.0
262 492.3 1,000.0
263 493.2 1,000.0
264 493.8 1,000.0
265 495.0 1,000.0
266 495.3 1,000.0
267 495.6 1,000.0
268 496.5 1,000.0
269 496.8 1,000.0
270 497.4 1,000.0
271 498.0 1,000.0
272 498.3 2,000.0
273 499.0 1,000.0
274 499.3 2,500.0
275 499.9 1,000.0
276 500.8 1,000.0
277 501.4 1,000.0
278 501.7 2,500.0
279 502.9 1,000.0
280 503.2 1,350.0
281 503.5 1,000.0
282 504.1 1,000.0
283 504.4 1,000.0
284 504.7 1,000.0
285 506.0 1,000.0
286 507.2 1,000.0
287 507.5 1,000.0
288 508.1 1,000.0
289 509.0 1,750.0
290 510.5 1,000.0
291 510.8 1,000.0
292 511.5 1,000.0
293 512.1 1,000.0
294 512.7 1,000.0
295 513.6 1,000.0
296 515.1 1,000.0
297 515.7 1,000.0
298 516.0 1,000.0
299 516.6 1,000.0
300 517.9 2,500.0
301 518.2 1,000.0
302 518.8 1,000.0
303 519.7 1,000.0
304 520.9 1,000.0
305 521.2 1,000.0
306 521.5 1,000.0
307 522.7 1,000.0
308 523.3 1,000.0
309 524.0 1,000.0
310 524.3 1,000.0
311 524.9 1,000.0
312 525.5 2,100.0
313 525.8 1,000.0
314 526.4 1,000.0
315 527.3 1,000.0
316 528.8 1,000.0
317 529.4 1,000.0
318 530.0 1,000.0
319 530.4 1,000.0
320 531.9 1,000.0
321 532.8 2,500.0
322 533.4 1,000.0
323 533.7 1,000.0
324 534.0 1,000.0
325 534.3 1,000.0
326 534.9 1,000.0
327 535.2 1,000.0
328 535.8 1,000.0
329 536.4 1,000.0
330 538.0 1,000.0
331 539.5 1,000.0
332 541.6 2,100.0
333 541.9 1,000.0
334 542.2 1,000.0
335 542.5 1,000.0
336 543.5 1,000.0
337 543.8 1,000.0
338 544.1 1,000.0
339 544.7 1,000.0
340 545.0 1,000.0
341 547.1 1,000.0
342 548.3 1,000.0
343 548.6 1,000.0
344 549.6 1,000.0
345 549.9 1,000.0
346 550.2 1,000.0
347 550.5 1,000.0
348 551.7 1,000.0
349 553.2 1,000.0
350 554.7 1,000.0
351 555.0 1,000.0
352 555.7 1,000.0
353 556.3 1,000.0
354 556.6 1,000.0
355 557.5 1,000.0
356 557.8 1,000.0
357 558.7 1,000.0
358 559.6 1,000.0
359 560.8 1,000.0
360 561.4 1,000.0
361 562.4 1,000.0
362 563.9 1,000.0
363 565.1 1,000.0
364 565.4 1,000.0
365 566.6 1,000.0
366 566.9 1,000.0
367 567.2 1,000.0
368 568.5 1,000.0
369 568.8 1,000.0
370 569.4 1,000.0
371 570.0 1,000.0
372 571.2 1,000.0
373 571.8 1,000.0
374 573.0 1,000.0
375 573.3 1,000.0
376 574.2 1,000.0
377 574.5 1,000.0
378 576.1 1,000.0
379 576.7 2,700.0
380 577.3 1,000.0
381 577.6 1,000.0
382 577.9 1,000.0
383 578.2 1,000.0
384 578.5 1,000.0
385 579.1 1,000.0
386 579.4 1,000.0
387 580.0 1,000.0
388 580.6 1,000.0
389 580.9 1,000.0
390 581.3 1,000.0
391 581.6 1,000.0
392 581.9 1,000.0
393 582.2 1,000.0
394 582.8 1,000.0
395 583.1 1,000.0
396 583.7 1,000.0
397 584.3 1,000.0
398 584.6 1,000.0
399 584.9 1,000.0
400 585.2 1,000.0
401 586.1 1,500.0
402 586.4 1,000.0
403 586.7 1,000.0
404 587.3 1,000.0
405 587.7 1,000.0
406 588.0 1,000.0
407 588.3 1,000.0
408 588.6 1,000.0
409 588.9 1,000.0
410 589.5 1,000.0
411 589.8 1,000.0
412 590.7 1,000.0
413 591.3 1,000.0
414 591.6 1,000.0
415 591.9 1,000.0
416 592.8 1,000.0
417 593.1 1,000.0
418 593.4 1,000.0
419 594.4 1,000.0
420 595.3 1,000.0
421 595.6 1,000.0
422 595.9 1,000.0
423 596.2 1,000.0
424 597.1 1,000.0
425 597.4 1,000.0
426 598.9 1,000.0
427 599.5 1,000.0
428 599.8 1,000.0
429 600.5 1,500.0
430 600.8 1,500.0
431 601.1 1,500.0
432 601.4 1,500.0
433 602.0 1,500.0
434 602.9 1,500.0
435 603.5 1,500.0
436 603.8 1,500.0
437 604.1 1,500.0
438 605.0 1,500.0
439 605.9 1,500.0
440 606.6 1,500.0
441 607.5 1,500.0
442 607.8 1,500.0
443 608.1 1,500.0
444 608.7 1,500.0
445 609.6 1,520.0
446 610.2 1,500.0
447 610.5 1,500.0
448 611.1 1,500.0
449 611.4 1,500.0
450 611.7 1,500.0
451 612.0 1,500.0
452 612.6 1,500.0
453 613.0 1,500.0
454 613.3 1,500.0
455 613.6 1,500.0
456 613.9 1,500.0
457 614.2 1,500.0
458 615.7 1,500.0
459 617.2 1,500.0
460 617.5 1,500.0
461 618.1 1,500.0
462 618.7 1,500.0
463 619.0 1,500.0
464 620.0 1,500.0
465 620.3 1,500.0
466 620.6 1,500.0
467 620.9 1,500.0
468 621.2 1,500.0
469 621.5 1,500.0
470 621.8 1,500.0
471 622.4 1,500.0
472 623.3 1,500.0
473 623.9 1,500.0
474 624.2 1,500.0
475 624.5 1,500.0
476 624.8 1,500.0
477 625.1 1,500.0
478 625.4 1,500.0
479 626.4 1,500.0
480 626.7 1,500.0
481 627.3 1,500.0
482 627.9 1,500.0
483 628.5 1,500.0
484 628.8 1,500.0
485 629.4 1,500.0
486 629.7 1,500.0
487 630.0 1,500.0
488 630.9 1,500.0
489 631.2 1,500.0
490 631.5 1,500.0
491 631.9 1,500.0
492 632.2 1,500.0
493 632.5 1,500.0
494 632.8 1,500.0
495 633.4 1,500.0
496 633.7 1,500.0
497 634.0 1,500.0
498 634.6 1,500.0
499 634.9 1,500.0
500 635.5 1,500.0
501 635.8 1,500.0
502 636.1 1,500.0
503 637.0 1,500.0
504 637.9 1,500.0
505 638.6 1,500.0
506 639.8 1,500.0
507 640.1 1,516.7
508 640.7 1,500.0
509 641.0 1,500.0
510 641.6 1,500.0
511 641.9 1,500.0
512 642.2 1,500.0
513 642.8 1,500.0
514 643.1 1,500.0
515 644.0 1,500.0
516 644.3 1,500.0
517 644.7 1,500.0
518 645.0 1,500.0
519 645.3 1,500.0
520 645.6 1,500.0
521 646.2 1,500.0
522 646.5 1,500.0
523 646.8 1,500.0
524 647.7 1,500.0
525 648.0 1,500.0
526 648.3 1,500.0
527 649.2 1,500.0
528 649.5 1,500.0
529 649.8 1,500.0
530 650.4 1,500.0
531 650.7 1,500.0
532 651.1 1,500.0
533 651.7 1,500.0
534 652.3 1,500.0
535 652.9 1,500.0
536 653.2 1,500.0
537 653.8 1,500.0
538 654.4 1,500.0
539 654.7 1,500.0
540 655.3 1,500.0
541 655.9 1,500.0
542 656.2 1,500.0
543 656.5 1,500.0
544 656.8 1,500.0
545 657.1 1,500.0
546 657.5 1,500.0
547 658.1 1,500.0
548 658.4 1,500.0
549 659.0 1,500.0
550 659.9 1,500.0
551 660.2 1,500.0
552 660.5 1,500.0
553 661.4 1,500.0
554 661.7 1,500.0
555 662.0 1,500.0
556 662.9 1,500.0
557 663.2 1,500.0
558 664.5 1,525.0
559 664.8 1,500.0
560 665.1 1,500.0
561 665.4 1,500.0
562 665.7 1,500.0
563 666.0 1,500.0
564 666.6 1,500.0
565 667.2 1,500.0
566 667.5 1,500.0
567 667.8 1,500.0
568 668.1 1,500.0
569 668.4 1,500.0
570 668.7 1,500.0
571 669.0 1,500.0
572 669.6 1,500.0
573 670.0 1,500.0
574 670.3 1,500.0
575 670.6 1,500.0
576 670.9 1,500.0
577 671.2 1,500.0
578 672.1 1,500.0
579 672.4 1,500.0
580 672.7 1,500.0
581 673.3 1,500.0
582 673.6 1,500.0
583 674.2 1,500.0
584 674.5 1,500.0
585 674.8 1,500.0
586 675.1 1,500.0
587 675.4 1,500.0
588 676.7 1,500.0
589 677.0 1,500.0
590 677.3 1,500.0
591 677.6 1,500.0
592 677.9 1,500.0
593 678.2 1,500.0
594 678.5 1,500.0
595 678.8 1,500.0
596 679.4 1,500.0
597 679.7 1,500.0
598 680.6 1,500.0
599 680.9 1,500.0
600 681.2 1,500.0
601 681.8 1,500.0
602 682.1 1,500.0
603 682.4 1,500.0
604 682.8 1,500.0
605 684.0 1,500.0
606 684.3 1,500.0
607 684.6 1,500.0
608 684.9 1,500.0
609 685.8 1,500.0
610 686.4 1,500.0
611 686.7 1,500.0
612 687.0 1,500.0
613 687.3 1,500.0
614 687.6 1,500.0
615 688.5 1,500.0
616 688.8 1,500.0
617 689.5 1,500.0
618 689.8 1,500.0
619 690.1 1,500.0
620 690.4 1,500.0
621 690.7 1,500.0
622 691.0 1,500.0
623 691.3 1,500.0
624 691.9 1,500.0
625 692.8 1,500.0
626 693.1 1,500.0
627 693.4 1,500.0
628 693.7 1,500.0
629 694.0 1,500.0
630 694.3 1,500.0
631 694.6 1,500.0
632 694.9 1,500.0
633 695.2 1,500.0
634 695.6 1,500.0
635 696.2 1,500.0
636 696.5 1,500.0
637 696.8 1,500.0
638 697.4 1,500.0
639 698.0 1,500.0
640 698.3 1,500.0
641 698.6 1,500.0
642 698.9 1,500.0
643 699.5 1,500.0
644 700.4 1,500.0
645 701.0 1,500.0
646 701.6 1,500.0
647 702.0 1,500.0
648 702.6 1,500.0
649 702.9 1,500.0
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1295 1,044.9 1,700.0
1296 1,045.2 2,200.0
1297 1,045.5 1,700.0
1298 1,046.1 1,700.0
1299 1,046.4 1,700.0
1300 1,046.7 1,700.0
1301 1,047.0 1,700.0
1302 1,047.3 1,700.0
1303 1,047.9 1,700.0
1304 1,048.2 1,700.0
1305 1,048.5 1,700.0
1306 1,048.8 1,700.0
1307 1,049.1 1,700.0
1308 1,049.7 1,700.0
1309 1,050.0 1,700.0
1310 1,050.3 1,700.0
1311 1,050.6 1,700.0
1312 1,051.0 1,700.0
1313 1,051.6 1,700.0
1314 1,051.9 1,700.0
1315 1,052.2 1,700.0
1316 1,052.5 1,700.0
1317 1,052.8 1,700.0
1318 1,053.1 1,700.0
1319 1,053.4 1,700.0
1320 1,053.7 1,700.0
1321 1,054.3 1,700.0
1322 1,054.6 1,700.0
1323 1,054.9 1,700.0
1324 1,055.5 1,700.0
1325 1,056.1 1,700.0
1326 1,056.4 1,700.0
1327 1,056.7 1,700.0
1328 1,057.0 1,700.0
1329 1,057.7 1,700.0
1330 1,058.0 1,700.0
1331 1,058.3 1,700.0
1332 1,058.9 1,700.0
1333 1,059.2 1,700.0
1334 1,059.5 1,700.0
1335 1,060.1 1,700.0
1336 1,060.4 1,700.0
1337 1,061.0 1,700.0
1338 1,061.3 1,900.0
1339 1,062.2 1,700.0
1340 1,062.5 1,700.0
1341 1,062.8 1,700.0
1342 1,063.8 1,700.0
1343 1,064.4 1,700.0
1344 1,065.3 1,700.0
1345 1,065.6 1,700.0
1346 1,065.9 1,700.0
1347 1,066.2 1,800.0
1348 1,066.5 1,700.0
1349 1,066.8 1,700.0
1350 1,067.7 1,700.0
1351 1,068.3 1,700.0
1352 1,068.6 1,700.0
1353 1,068.9 1,700.0
1354 1,069.2 1,700.0
1355 1,069.8 1,700.0
1356 1,070.2 1,700.0
1357 1,070.5 1,700.0
1358 1,070.8 1,700.0
1359 1,071.4 1,700.0
1360 1,071.7 1,700.0
1361 1,072.3 1,700.0
1362 1,072.6 1,700.0
1363 1,072.9 1,700.0
1364 1,073.8 1,700.0
1365 1,074.1 1,700.0
1366 1,074.4 1,700.0
1367 1,075.0 1,700.0
1368 1,075.3 1,700.0
1369 1,075.9 1,700.0
1370 1,076.6 1,700.0
1371 1,076.9 1,700.0
1372 1,077.2 1,700.0
1373 1,077.5 1,700.0
1374 1,077.8 1,700.0
1375 1,078.4 1,700.0
1376 1,078.7 1,700.0
1377 1,079.0 1,700.0
1378 1,079.9 1,700.0
1379 1,080.2 1,700.0
1380 1,081.1 1,700.0
1381 1,081.4 1,700.0
1382 1,081.7 1,700.0
1383 1,082.0 1,700.0
1384 1,082.3 1,700.0
1385 1,082.6 1,700.0
1386 1,083.0 1,700.0
1387 1,083.3 1,700.0
1388 1,083.6 1,700.0
1389 1,084.2 1,700.0
1390 1,084.5 1,700.0
1391 1,085.1 1,700.0
1392 1,085.4 1,700.0
1393 1,086.3 2,200.0
1394 1,086.6 1,700.0
1395 1,086.9 1,700.0
1396 1,087.2 1,700.0
1397 1,087.5 1,700.0
1398 1,087.8 1,700.0
1399 1,088.1 1,700.0
1400 1,088.7 1,700.0
1401 1,089.1 1,700.0
1402 1,089.4 1,700.0
1403 1,089.7 1,700.0
1404 1,090.0 1,700.0
1405 1,090.3 1,700.0
1406 1,090.6 2,200.0
1407 1,090.9 1,700.0
1408 1,091.2 1,700.0
1409 1,091.5 1,700.0
1410 1,092.4 1,700.0
1411 1,092.7 1,700.0
1412 1,093.0 1,700.0
1413 1,093.6 1,700.0
1414 1,094.5 1,700.0
1415 1,095.1 1,700.0
1416 1,095.5 1,700.0
1417 1,095.8 1,700.0
1418 1,096.1 1,700.0
1419 1,096.4 1,700.0
1420 1,097.0 1,700.0
1421 1,097.3 1,700.0
1422 1,097.9 1,700.0
1423 1,098.5 1,700.0
1424 1,098.8 1,700.0
1425 1,099.1 1,700.0
1426 1,099.4 2,700.0
1427 1,099.7 1,700.0
1428 1,100.0 1,700.0
1429 1,100.3 1,700.0
1430 1,100.6 1,700.0
1431 1,100.9 1,700.0
1432 1,101.5 1,800.0
1433 1,101.9 1,700.0
1434 1,102.8 1,700.0
1435 1,103.4 1,700.0
1436 1,103.7 3,500.0
1437 1,104.0 1,700.0
1438 1,104.3 1,700.0
1439 1,104.6 1,700.0
1440 1,104.9 1,700.0
1441 1,105.2 1,700.0
1442 1,105.5 2,500.0
1443 1,106.4 1,700.0
1444 1,106.7 1,700.0
1445 1,107.0 1,700.0
1446 1,107.3 1,700.0
1447 1,107.6 1,700.0
1448 1,107.9 1,700.0
1449 1,108.6 1,700.0
1450 1,109.5 1,866.7
1451 1,109.8 1,700.0
1452 1,110.1 1,700.0
1453 1,110.4 1,700.0
1454 1,111.0 1,700.0
1455 1,111.3 1,700.0
1456 1,111.6 1,700.0
1457 1,111.9 1,700.0
1458 1,112.5 1,766.7
1459 1,113.1 1,700.0
1460 1,113.4 1,700.0
1461 1,113.7 1,700.0
1462 1,114.0 1,700.0
1463 1,114.3 1,700.0
1464 1,114.7 1,700.0
1465 1,115.0 2,350.0
1466 1,115.3 1,700.0
1467 1,115.6 1,700.0
1468 1,115.9 1,700.0
1469 1,116.5 2,100.0
1470 1,116.8 1,700.0
1471 1,117.1 1,700.0
1472 1,117.7 1,700.0
1473 1,118.0 1,700.0
1474 1,118.3 1,700.0
1475 1,118.6 1,700.0
1476 1,118.9 1,700.0
1477 1,119.5 1,700.0
1478 1,120.1 1,700.0
1479 1,120.4 1,700.0
1480 1,121.1 3,500.0
1481 1,121.7 1,842.9
1482 1,122.3 1,700.0
1483 1,122.6 1,700.0
1484 1,122.9 1,700.0
1485 1,123.2 1,700.0
1486 1,123.5 1,700.0
1487 1,124.1 1,700.0
1488 1,124.7 1,700.0
1489 1,125.3 1,700.0
1490 1,125.6 2,200.0
1491 1,125.9 1,700.0
1492 1,126.2 1,700.0
1493 1,126.8 1,700.0
1494 1,127.5 1,700.0
1495 1,127.8 1,700.0
1496 1,128.1 1,700.0
1497 1,128.4 1,700.0
1498 1,128.7 1,700.0
1499 1,129.3 1,700.0
1500 1,129.6 1,700.0
1501 1,129.9 1,700.0
1502 1,130.5 1,700.0
1503 1,130.8 1,700.0
1504 1,131.1 1,700.0
1505 1,131.4 1,700.0
1506 1,131.7 1,700.0
1507 1,132.0 1,700.0
1508 1,132.3 1,700.0
1509 1,133.2 2,466.7
1510 1,133.6 2,033.3
1511 1,133.9 1,950.0
1512 1,134.2 2,200.0
1513 1,134.5 1,700.0
1514 1,135.4 1,700.0
1515 1,136.0 1,700.0
1516 1,136.3 1,700.0
1517 1,136.6 1,700.0
1518 1,136.9 1,700.0
1519 1,137.2 1,700.0
1520 1,137.5 1,700.0
1521 1,138.1 1,700.0
1522 1,139.0 1,700.0
1523 1,139.3 1,700.0
1524 1,139.6 1,700.0
1525 1,140.0 1,700.0
1526 1,140.6 1,700.0
1527 1,140.9 2,300.0
1528 1,141.2 1,700.0
1529 1,141.5 1,700.0
1530 1,141.8 2,100.0
1531 1,142.1 1,700.0
1532 1,142.4 1,700.0
1533 1,143.0 1,700.0
1534 1,143.6 1,700.0
1535 1,143.9 1,700.0
1536 1,144.8 1,700.0
1537 1,145.1 1,700.0
1538 1,145.4 1,700.0
1539 1,145.7 1,700.0
1540 1,146.0 1,700.0
1541 1,146.7 1,700.0
1542 1,147.3 1,700.0
1543 1,147.6 2,350.0
1544 1,147.9 1,700.0
1545 1,148.5 1,700.0
1546 1,148.8 1,700.0
1547 1,149.1 1,960.0
1548 1,150.6 1,700.0
1549 1,151.8 2,100.0
1550 1,152.1 1,700.0
1551 1,152.8 1,700.0
1552 1,153.4 1,700.0
1553 1,154.0 1,700.0
1554 1,154.6 1,700.0
1555 1,155.2 1,700.0
1556 1,156.7 1,700.0
1557 1,157.0 1,700.0
1558 1,157.3 1,900.0
1559 1,157.6 1,700.0
1560 1,157.9 1,700.0
1561 1,158.2 1,700.0
1562 1,158.5 1,700.0
1563 1,158.8 1,900.0
1564 1,159.2 1,700.0
1565 1,159.5 1,700.0
1566 1,160.1 1,700.0
1567 1,160.7 1,700.0
1568 1,161.3 1,700.0
1569 1,161.6 1,700.0
1570 1,161.9 2,600.0
1571 1,162.2 1,700.0
1572 1,162.8 1,700.0
1573 1,163.1 1,900.0
1574 1,163.4 1,700.0
1575 1,164.3 1,700.0
1576 1,165.9 2,060.0
1577 1,166.5 1,700.0
1578 1,166.8 1,700.0
1579 1,167.1 1,700.0
1580 1,167.4 2,000.0
1581 1,167.7 1,700.0
1582 1,168.9 1,700.0
1583 1,169.2 1,700.0
1584 1,169.8 1,700.0
1585 1,170.4 1,700.0
1586 1,170.7 1,700.0
1587 1,171.7 1,700.0
1588 1,172.0 1,700.0
1589 1,172.9 1,700.0
1590 1,173.5 1,700.0
1591 1,173.8 1,700.0
1592 1,174.4 1,700.0
1593 1,174.7 1,700.0
1594 1,175.0 1,700.0
1595 1,175.3 1,700.0
1596 1,175.6 1,700.0
1597 1,175.9 1,700.0
1598 1,176.5 2,220.0
1599 1,177.4 1,700.0
1600 1,177.7 2,500.0
1601 1,178.1 1,700.0
1602 1,178.4 1,700.0
1603 1,178.7 1,700.0
1604 1,179.0 1,700.0
1605 1,179.6 1,700.0
1606 1,179.9 1,700.0
1607 1,180.2 1,700.0
1608 1,180.5 1,700.0
1609 1,181.1 1,700.0
1610 1,181.4 1,700.0
1611 1,181.7 1,700.0
1612 1,182.0 1,700.0
1613 1,182.3 1,700.0
1614 1,182.6 1,700.0
1615 1,183.2 1,700.0
1616 1,184.1 1,700.0
1617 1,184.5 1,700.0
1618 1,185.1 2,500.0
1619 1,185.7 1,700.0
1620 1,186.9 1,700.0
1621 1,187.2 1,700.0
1622 1,188.7 1,750.0
1623 1,189.0 1,900.0
1624 1,190.2 1,700.0
1625 1,191.2 1,900.0
1626 1,191.8 1,700.0
1627 1,192.1 1,700.0
1628 1,192.4 1,700.0
1629 1,192.7 1,700.0
1630 1,193.0 1,700.0
1631 1,193.3 1,700.0
1632 1,194.2 1,700.0
1633 1,194.5 1,700.0
1634 1,194.8 1,700.0
1635 1,195.4 1,700.0
1636 1,196.0 1,700.0
1637 1,196.3 1,700.0
1638 1,197.3 2,500.0
1639 1,197.6 1,700.0
1640 1,197.9 1,700.0
1641 1,199.4 2,500.0
1642 1,200.3 2,100.0
1643 1,200.9 2,100.0
1644 1,201.5 3,000.0
1645 1,202.1 2,100.0
1646 1,203.4 2,100.0
1647 1,204.0 2,100.0
1648 1,204.6 2,233.3
1649 1,205.8 2,500.0
1650 1,206.7 2,100.0
1651 1,207.0 2,100.0
1652 1,207.3 2,100.0
1653 1,208.5 2,100.0
1654 1,209.1 2,100.0
1655 1,209.4 2,100.0
1656 1,210.1 2,100.0
1657 1,210.7 2,100.0
1658 1,211.3 2,100.0
1659 1,211.6 2,100.0
1660 1,211.9 2,100.0
1661 1,212.2 2,100.0
1662 1,213.1 2,100.0
1663 1,214.3 2,100.0
1664 1,214.6 2,100.0
1665 1,215.2 2,100.0
1666 1,215.8 2,100.0
1667 1,216.2 2,100.0
1668 1,216.8 2,100.0
1669 1,217.7 2,100.0
1670 1,218.9 2,100.0
1671 1,219.2 2,130.0
1672 1,220.4 2,100.0
1673 1,220.7 2,100.0
1674 1,221.9 2,100.0
1675 1,222.6 3,000.0
1676 1,222.9 2,100.0
1677 1,224.1 2,500.0
1678 1,224.4 2,100.0
1679 1,225.3 2,100.0
1680 1,225.6 2,300.0
1681 1,225.9 2,100.0
1682 1,226.2 2,100.0
1683 1,226.5 2,100.0
1684 1,226.8 2,100.0
1685 1,227.1 2,100.0
1686 1,228.3 2,100.0
1687 1,231.4 2,100.0
1688 1,233.5 3,000.0
1689 1,233.8 2,100.0
1690 1,234.4 2,100.0
1691 1,236.3 2,100.0
1692 1,237.5 2,100.0
1693 1,237.8 3,000.0
1694 1,239.0 2,100.0
1695 1,240.5 2,100.0
1696 1,241.1 2,100.0
1697 1,242.1 2,100.0
1698 1,242.7 2,100.0
1699 1,243.0 2,100.0
1700 1,243.6 2,100.0
1701 1,243.9 2,500.0
1702 1,244.2 2,100.0
1703 1,245.4 2,100.0
1704 1,246.0 2,100.0
1705 1,246.3 2,100.0
1706 1,246.6 2,100.0
1707 1,247.2 3,000.0
1708 1,247.5 2,100.0
1709 1,248.5 2,100.0
1710 1,249.4 2,100.0
1711 1,249.7 2,112.9
1712 1,251.2 2,100.0
1713 1,251.5 2,100.0
1714 1,252.1 2,100.0
1715 1,252.4 2,100.0
1716 1,252.7 2,100.0
1717 1,253.3 2,100.0
1718 1,254.3 2,400.0
1719 1,255.2 2,100.0
1720 1,255.5 2,100.0
1721 1,255.8 2,100.0
1722 1,257.3 2,100.0
1723 1,258.8 2,100.0
1724 1,259.1 2,100.0
1725 1,259.4 2,100.0
1726 1,260.3 2,100.0
1727 1,261.6 3,500.0
1728 1,263.1 2,100.0
1729 1,263.4 2,100.0
1730 1,264.0 2,100.0
1731 1,264.9 2,100.0
1732 1,265.2 2,100.0
1733 1,265.8 2,100.0
1734 1,266.1 2,550.0
1735 1,266.4 2,100.0
1736 1,267.4 2,100.0
1737 1,268.0 2,100.0
1738 1,269.2 2,100.0
1739 1,271.0 2,100.0
1740 1,271.9 2,100.0
1741 1,272.5 2,100.0
1742 1,274.1 2,100.0
1743 1,277.7 2,100.0
1744 1,278.9 3,500.0
1745 1,280.2 2,140.0
1746 1,280.5 3,500.0
1747 1,281.4 2,100.0
1748 1,281.7 2,100.0
1749 1,282.3 2,100.0
1750 1,282.6 2,100.0
1751 1,282.9 2,100.0
1752 1,283.2 2,566.7
1753 1,283.8 2,100.0
1754 1,284.1 2,100.0
1755 1,284.7 2,100.0
1756 1,285.3 2,100.0
1757 1,286.3 2,100.0
1758 1,286.9 3,500.0
1759 1,287.8 2,100.0
1760 1,288.4 2,100.0
1761 1,289.0 2,100.0
1762 1,289.3 2,100.0
1763 1,290.5 2,100.0
1764 1,292.4 2,100.0
1765 1,293.0 2,100.0
1766 1,293.9 2,100.0
1767 1,294.2 3,500.0
1768 1,294.5 2,100.0
1769 1,295.4 2,100.0
1770 1,296.0 2,100.0
1771 1,296.3 2,100.0
1772 1,296.9 2,100.0
1773 1,298.4 2,100.0
1774 1,300.9 3,000.0
1775 1,301.5 2,100.0
1776 1,302.7 2,800.0
1777 1,303.0 2,100.0
1778 1,303.9 3,500.0
1779 1,304.2 2,100.0
1780 1,306.1 2,100.0
1781 1,309.7 3,250.0
1782 1,310.6 2,100.0
1783 1,310.9 2,800.0
1784 1,311.9 2,100.0
1785 1,312.8 3,500.0
1786 1,313.7 2,100.0
1787 1,314.0 2,100.0
1788 1,314.3 2,100.0
1789 1,315.2 2,100.0
1790 1,315.5 2,100.0
1791 1,317.3 3,000.0
1792 1,318.3 2,100.0
1793 1,320.4 3,000.0
1794 1,322.8 2,100.0
1795 1,324.4 2,100.0
1796 1,325.3 2,800.0
1797 1,325.9 2,100.0
1798 1,327.7 2,100.0
1799 1,328.9 2,100.0
1800 1,330.5 3,500.0
1801 1,331.4 2,100.0
1802 1,332.0 2,100.0
1803 1,335.0 2,100.0
1804 1,335.6 2,700.0
1805 1,338.1 2,450.0
1806 1,338.7 2,100.0
1807 1,339.3 2,100.0
1808 1,339.9 2,100.0
1809 1,341.1 2,175.0
1810 1,342.6 3,500.0
1811 1,343.6 2,100.0
1812 1,344.2 2,100.0
1813 1,344.8 2,100.0
1814 1,345.7 2,100.0
1815 1,347.2 2,100.0
1816 1,348.7 2,100.0
1817 1,349.0 2,800.0
1818 1,350.3 2,100.0
1819 1,351.2 2,100.0
1820 1,353.3 2,100.0
1821 1,353.9 2,100.0
1822 1,356.4 2,380.0
1823 1,357.6 3,500.0
1824 1,358.2 3,500.0
1825 1,359.4 2,100.0
1826 1,359.7 2,100.0
1827 1,360.9 2,800.0
1828 1,362.2 3,500.0
1829 1,362.5 2,100.0
1830 1,364.0 2,100.0
1831 1,365.2 2,100.0
1832 1,366.4 3,500.0
1833 1,367.0 3,500.0
1834 1,367.9 2,100.0
1835 1,368.6 2,100.0
1836 1,371.6 2,100.0
1837 1,371.9 2,100.0
1838 1,372.5 2,100.0
1839 1,373.1 2,100.0
1840 1,373.4 2,100.0
1841 1,374.6 2,100.0
1842 1,375.0 2,100.0
1843 1,375.6 2,100.0
1844 1,375.9 3,500.0
1845 1,377.7 2,100.0
1846 1,378.3 3,250.0
1847 1,379.2 2,100.0
1848 1,380.7 2,100.0
1849 1,381.0 2,100.0
1850 1,381.4 3,500.0
1851 1,381.7 2,100.0
1852 1,382.0 3,500.0
1853 1,382.3 2,100.0
1854 1,382.9 2,100.0
1855 1,383.2 2,100.0
1856 1,383.8 2,100.0
1857 1,385.0 2,100.0
1858 1,386.5 2,100.0
1859 1,386.8 2,450.0
1860 1,388.1 2,800.0
1861 1,389.9 2,380.0
1862 1,390.5 3,900.0
1863 1,391.4 2,100.0
1864 1,392.9 2,100.0
1865 1,394.5 2,100.0
1866 1,396.0 2,100.0
1867 1,396.3 3,500.0
1868 1,397.2 3,500.0
1869 1,398.4 2,100.0
1870 1,399.0 2,100.0
1871 1,399.6 3,000.0
1872 1,402.1 2,100.0
1873 1,402.4 2,100.0
1874 1,403.0 2,100.0
1875 1,403.9 2,100.0
1876 1,404.2 2,100.0
1877 1,405.1 2,100.0
1878 1,405.7 2,100.0
1879 1,406.3 3,000.0
1880 1,408.2 2,800.0
1881 1,408.5 2,100.0
1882 1,408.8 2,100.0
1883 1,409.1 2,100.0
1884 1,411.2 2,100.0
1885 1,411.5 2,100.0
1886 1,411.8 3,500.0
1887 1,412.1 2,100.0
1888 1,412.7 2,100.0
1889 1,413.4 2,100.0
1890 1,414.0 3,500.0
1891 1,415.5 2,100.0
1892 1,415.8 2,100.0
1893 1,416.7 3,500.0
1894 1,417.3 2,511.1
1895 1,417.6 3,000.0
1896 1,418.5 3,250.0
1897 1,419.1 3,033.3
1898 1,419.8 2,100.0
1899 1,420.4 3,000.0
1900 1,421.6 2,100.0
1901 1,422.5 3,500.0
1902 1,422.8 2,100.0
1903 1,423.4 2,100.0
1904 1,424.9 3,500.0
1905 1,426.2 2,100.0
1906 1,427.4 3,500.0
1907 1,427.7 2,100.0
1908 1,428.0 2,100.0
1909 1,429.2 3,500.0
1910 1,429.5 2,450.0
1911 1,430.7 3,500.0
1912 1,431.0 2,100.0
1913 1,431.6 2,100.0
1914 1,432.6 2,100.0
1915 1,432.9 3,500.0
1916 1,433.5 2,100.0
1917 1,433.8 2,100.0
1918 1,434.1 2,100.0
1919 1,434.4 2,100.0
1920 1,437.1 2,100.0
1921 1,437.4 2,400.0
1922 1,437.7 3,033.3
1923 1,438.0 2,100.0
1924 1,438.7 2,566.7
1925 1,440.8 2,100.0
1926 1,441.4 2,100.0
1927 1,441.7 2,100.0
1928 1,442.0 3,000.0
1929 1,442.3 2,100.0
1930 1,442.6 2,100.0
1931 1,442.9 3,033.3
1932 1,444.8 2,100.0
1933 1,445.1 2,100.0
1934 1,446.0 2,100.0
1935 1,446.6 3,500.0
1936 1,446.9 2,100.0
1937 1,447.5 3,500.0
1938 1,447.8 2,100.0
1939 1,448.1 2,100.0
1940 1,449.3 2,100.0
1941 1,449.6 2,100.0
1942 1,449.9 2,100.0
1943 1,450.8 2,566.7
1944 1,452.1 3,500.0
1945 1,452.4 2,100.0
1946 1,453.3 2,100.0
1947 1,453.6 2,100.0
1948 1,453.9 2,100.0
1949 1,455.7 2,100.0
1950 1,456.3 2,800.0
1951 1,457.2 2,100.0
1952 1,458.5 2,100.0
1953 1,459.7 3,500.0
1954 1,460.0 2,800.0
1955 1,460.6 2,500.0
1956 1,460.9 2,100.0
1957 1,462.1 2,100.0
1958 1,463.0 2,333.3
1959 1,463.3 3,050.0
1960 1,463.6 2,100.0
1961 1,464.0 2,100.0
1962 1,464.3 2,100.0
1963 1,464.6 2,100.0
1964 1,464.9 2,100.0
1965 1,465.2 2,100.0
1966 1,465.5 2,100.0
1967 1,465.8 3,500.0
1968 1,466.1 2,100.0
1969 1,466.7 2,100.0
1970 1,467.0 2,100.0
1971 1,467.6 3,500.0
1972 1,468.8 2,800.0
1973 1,469.1 2,100.0
1974 1,469.4 2,566.7
1975 1,470.1 3,200.0
1976 1,470.7 3,500.0
1977 1,472.2 2,100.0
1978 1,473.7 2,100.0
1979 1,474.0 2,100.0
1980 1,474.3 3,500.0
1981 1,474.6 2,100.0
1982 1,475.2 2,100.0
1983 1,475.5 2,100.0
1984 1,475.8 2,800.0
1985 1,478.0 4,000.0
1986 1,478.3 2,100.0
1987 1,480.1 2,100.0
1988 1,481.3 2,100.0
1989 1,482.2 2,100.0
1990 1,482.5 2,100.0
1991 1,483.2 2,100.0
1992 1,485.0 2,100.0
1993 1,485.3 2,733.3
1994 1,485.9 2,450.0
1995 1,486.2 2,100.0
1996 1,486.5 2,100.0
1997 1,487.4 2,100.0
1998 1,488.0 2,100.0
1999 1,488.6 2,100.0
2000 1,488.9 2,100.0
2001 1,489.6 2,100.0
2002 1,489.9 2,100.0
2003 1,490.5 2,200.0
2004 1,490.8 2,100.0
2005 1,491.1 2,100.0
2006 1,491.4 2,100.0
2007 1,492.0 2,100.0
2008 1,492.3 3,500.0
2009 1,493.5 2,100.0
2010 1,493.8 2,100.0
2011 1,494.1 2,100.0
2012 1,494.4 2,100.0
2013 1,495.0 2,100.0
2014 1,495.3 2,100.0
2015 1,495.7 2,100.0
2016 1,496.0 2,100.0
2017 1,496.6 2,100.0
2018 1,497.8 2,100.0
2019 1,498.1 2,100.0
2020 1,499.6 2,566.7
2021 1,500.5 2,500.0
2022 1,501.1 2,500.0
2023 1,501.4 2,833.3
2024 1,501.7 2,500.0
2025 1,502.4 2,500.0
2026 1,502.7 2,500.0
2027 1,503.0 3,500.0
2028 1,503.3 2,500.0
2029 1,503.9 2,500.0
2030 1,505.1 2,500.0
2031 1,505.7 4,000.0
2032 1,506.0 2,500.0
2033 1,507.2 2,500.0
2034 1,507.8 4,000.0
2035 1,508.5 2,500.0
2036 1,508.8 2,500.0
2037 1,509.7 2,500.0
2038 1,510.0 2,500.0
2039 1,510.3 2,500.0
2040 1,510.6 2,500.0
2041 1,511.2 2,500.0
2042 1,511.8 3,250.0
2043 1,512.1 2,500.0
2044 1,513.6 2,500.0
2045 1,513.9 2,500.0
2046 1,514.2 2,500.0
2047 1,514.6 2,500.0
2048 1,514.9 2,500.0
2049 1,515.2 3,000.0
2050 1,516.4 2,500.0
2051 1,517.9 2,800.0
2052 1,518.2 2,500.0
2053 1,519.4 2,500.0
2054 1,520.0 2,500.0
2055 1,521.0 2,500.0
2056 1,521.3 2,500.0
2057 1,521.6 2,500.0
2058 1,523.4 2,500.0
2059 1,524.0 2,500.0
2060 1,524.3 2,500.0
2061 1,524.9 2,500.0
2062 1,525.2 2,500.0
2063 1,525.5 2,500.0
2064 1,526.1 2,500.0
2065 1,526.4 2,500.0
2066 1,527.0 2,500.0
2067 1,527.4 2,833.3
2068 1,527.7 2,500.0
2069 1,528.0 2,500.0
2070 1,528.9 2,500.0
2071 1,529.5 2,500.0
2072 1,530.1 2,500.0
2073 1,531.3 2,500.0
2074 1,531.6 2,500.0
2075 1,531.9 2,500.0
2076 1,532.5 2,500.0
2077 1,534.1 2,500.0
2078 1,534.4 2,500.0
2079 1,535.0 2,500.0
2080 1,535.6 3,500.0
2081 1,536.2 2,500.0
2082 1,536.8 2,500.0
2083 1,537.1 2,500.0
2084 1,537.7 2,500.0
2085 1,538.0 2,500.0
2086 1,538.9 2,500.0
2087 1,539.2 2,500.0
2088 1,539.5 2,500.0
2089 1,539.8 2,500.0
2090 1,540.5 2,500.0
2091 1,540.8 2,500.0
2092 1,541.1 2,500.0
2093 1,541.7 2,500.0
2094 1,542.3 2,500.0
2095 1,543.5 2,500.0
2096 1,543.8 2,500.0
2097 1,544.7 3,500.0
2098 1,545.6 2,500.0
2099 1,546.3 2,500.0
2100 1,546.9 2,500.0
2101 1,548.4 2,500.0
2102 1,549.0 2,500.0
2103 1,549.9 2,500.0
2104 1,551.4 2,500.0
2105 1,551.7 2,500.0
2106 1,552.0 2,500.0
2107 1,552.3 2,500.0
2108 1,553.3 2,500.0
2109 1,553.6 2,500.0
2110 1,554.5 2,500.0
2111 1,555.1 2,500.0
2112 1,556.0 2,500.0
2113 1,556.6 2,500.0
2114 1,557.2 2,500.0
2115 1,557.8 2,500.0
2116 1,558.1 2,500.0
2117 1,558.4 2,500.0
2118 1,559.1 2,500.0
2119 1,560.6 2,540.0
2120 1,561.2 2,500.0
2121 1,562.1 2,500.0
2122 1,562.4 2,500.0
2123 1,563.0 2,500.0
2124 1,563.3 2,500.0
2125 1,563.6 2,500.0
2126 1,564.2 2,500.0
2127 1,564.5 2,500.0
2128 1,565.1 2,500.0
2129 1,567.0 2,500.0
2130 1,567.6 2,500.0
2131 1,567.9 2,500.0
2132 1,568.2 2,500.0
2133 1,568.5 2,500.0
2134 1,569.1 2,500.0
2135 1,569.4 2,500.0
2136 1,569.7 2,500.0
2137 1,570.0 2,500.0
2138 1,570.6 2,500.0
2139 1,570.9 2,500.0
2140 1,571.2 2,500.0
2141 1,571.9 2,500.0
2142 1,572.2 2,500.0
2143 1,572.8 2,500.0
2144 1,573.1 2,500.0
2145 1,574.3 2,500.0
2146 1,574.9 2,500.0
2147 1,575.5 2,500.0
2148 1,575.8 2,500.0
2149 1,576.1 2,500.0
2150 1,576.4 2,500.0
2151 1,577.0 2,500.0
2152 1,577.3 2,500.0
2153 1,577.9 2,500.0
2154 1,578.9 2,500.0
2155 1,579.5 2,500.0
2156 1,580.4 2,500.0
2157 1,581.3 2,500.0
2158 1,581.9 2,500.0
2159 1,583.7 2,500.0
2160 1,584.0 2,500.0
2161 1,584.7 2,500.0
2162 1,585.0 2,500.0
2163 1,585.9 2,500.0
2164 1,586.5 2,500.0
2165 1,587.1 2,500.0
2166 1,588.0 2,500.0
2167 1,588.6 2,500.0
2168 1,589.2 2,500.0
2169 1,589.5 2,500.0
2170 1,590.4 2,500.0
2171 1,591.1 2,500.0
2172 1,592.0 2,500.0
2173 1,592.3 2,500.0
2174 1,592.6 2,500.0
2175 1,592.9 2,500.0
2176 1,593.2 2,500.0
2177 1,593.8 2,500.0
2178 1,594.1 2,500.0
2179 1,594.7 2,500.0
2180 1,595.3 2,500.0
2181 1,595.6 2,500.0
2182 1,595.9 2,500.0
2183 1,596.2 2,500.0
2184 1,596.5 2,500.0
2185 1,597.2 2,500.0
2186 1,597.8 2,500.0
2187 1,598.7 2,750.0
2188 1,599.3 2,500.0
2189 1,600.2 2,500.0
2190 1,601.1 2,500.0
2191 1,601.4 2,500.0
2192 1,601.7 2,500.0
2193 1,602.6 2,500.0
2194 1,604.2 2,500.0
2195 1,604.5 2,500.0
2196 1,605.7 2,500.0
2197 1,606.3 2,500.0
2198 1,607.5 2,500.0
2199 1,607.8 2,500.0
2200 1,608.4 2,500.0
2201 1,608.7 2,500.0
2202 1,609.0 2,500.0
2203 1,609.3 2,500.0
2204 1,610.3 2,500.0
2205 1,610.6 4,000.0
2206 1,610.9 2,500.0
2207 1,611.8 2,500.0
2208 1,612.4 2,500.0
2209 1,613.9 2,500.0
2210 1,614.5 2,500.0
2211 1,614.8 2,500.0
2212 1,615.4 2,500.0
2213 1,615.7 2,500.0
2214 1,616.0 2,500.0
2215 1,617.0 2,500.0
2216 1,617.6 3,250.0
2217 1,618.5 2,500.0
2218 1,618.8 2,500.0
2219 1,620.0 2,500.0
2220 1,620.3 2,500.0
2221 1,620.6 2,500.0
2222 1,621.2 2,500.0
2223 1,621.5 2,500.0
2224 1,622.8 2,500.0
2225 1,623.1 2,500.0
2226 1,623.4 2,500.0
2227 1,623.7 2,500.0
2228 1,624.3 2,500.0
2229 1,624.6 2,500.0
2230 1,624.9 2,500.0
2231 1,625.2 2,500.0
2232 1,625.5 2,500.0
2233 1,626.1 2,500.0
2234 1,626.7 2,500.0
2235 1,627.6 2,500.0
2236 1,627.9 2,500.0
2237 1,628.9 2,500.0
2238 1,629.2 2,500.0
2239 1,630.4 2,500.0
2240 1,630.7 2,500.0
2241 1,631.3 2,500.0
2242 1,631.9 2,500.0
2243 1,632.2 2,500.0
2244 1,632.5 2,500.0
2245 1,632.8 2,500.0
2246 1,633.4 2,500.0
2247 1,633.7 2,500.0
2248 1,634.6 2,500.0
2249 1,635.3 2,500.0
2250 1,635.6 2,500.0
2251 1,636.5 2,500.0
2252 1,636.8 2,500.0
2253 1,637.1 2,500.0
2254 1,638.0 3,000.0
2255 1,638.3 2,500.0
2256 1,638.6 2,500.0
2257 1,639.2 2,500.0
2258 1,639.8 2,500.0
2259 1,641.3 2,500.0
2260 1,642.3 2,500.0
2261 1,642.6 2,500.0
2262 1,642.9 2,500.0
2263 1,643.2 2,500.0
2264 1,644.4 2,500.0
2265 1,645.3 2,500.0
2266 1,645.9 2,500.0
2267 1,646.5 2,500.0
2268 1,646.8 2,500.0
2269 1,647.4 2,500.0
2270 1,648.1 2,500.0
2271 1,648.4 2,500.0
2272 1,648.7 2,500.0
2273 1,649.0 2,500.0
2274 1,649.3 2,500.0
2275 1,649.6 2,500.0
2276 1,649.9 2,500.0
2277 1,650.2 2,500.0
2278 1,650.5 2,500.0
2279 1,650.8 2,500.0
2280 1,651.1 2,500.0
2281 1,651.4 2,500.0
2282 1,651.7 2,500.0
2283 1,652.0 2,500.0
2284 1,652.3 2,500.0
2285 1,652.6 2,500.0
2286 1,652.9 2,500.0
2287 1,653.5 2,500.0
2288 1,653.8 2,500.0
2289 1,654.8 2,500.0
2290 1,655.1 2,500.0
2291 1,655.7 2,500.0
2292 1,656.3 2,500.0
2293 1,656.6 2,500.0
2294 1,656.9 2,500.0
2295 1,657.2 2,500.0
2296 1,657.5 2,500.0
2297 1,657.8 2,500.0
2298 1,658.4 2,500.0
2299 1,658.7 2,500.0
2300 1,659.3 2,500.0
2301 1,659.9 2,500.0
2302 1,660.2 2,500.0
2303 1,661.2 2,500.0
2304 1,661.5 2,500.0
2305 1,661.8 2,500.0
2306 1,662.7 2,500.0
2307 1,663.3 2,500.0
2308 1,663.6 2,500.0
2309 1,664.2 2,500.0
2310 1,664.5 2,500.0
2311 1,665.1 2,500.0
2312 1,666.3 2,500.0
2313 1,666.6 2,500.0
2314 1,667.0 2,500.0
2315 1,667.3 2,500.0
2316 1,667.6 2,500.0
2317 1,667.9 2,500.0
2318 1,668.2 2,500.0
2319 1,668.5 2,500.0
2320 1,668.8 2,500.0
2321 1,669.1 2,500.0
2322 1,669.7 2,500.0
2323 1,670.3 2,500.0
2324 1,670.9 2,500.0
2325 1,671.2 2,500.0
2326 1,671.5 2,500.0
2327 1,672.4 2,500.0
2328 1,673.4 2,500.0
2329 1,674.0 2,500.0
2330 1,674.3 2,500.0
2331 1,674.9 3,000.0
2332 1,675.2 2,500.0
2333 1,676.4 2,500.0
2334 1,676.7 2,500.0
2335 1,677.0 2,500.0
2336 1,677.6 2,500.0
2337 1,678.5 2,500.0
2338 1,679.1 2,500.0
2339 1,679.4 2,500.0
2340 1,680.4 2,500.0
2341 1,681.0 2,566.7
2342 1,681.3 2,500.0
2343 1,681.6 2,500.0
2344 1,682.2 2,500.0
2345 1,682.5 2,500.0
2346 1,682.8 2,500.0
2347 1,683.1 2,500.0
2348 1,683.4 2,500.0
2349 1,683.7 2,500.0
2350 1,684.0 2,500.0
2351 1,684.3 2,500.0
2352 1,684.6 2,500.0
2353 1,684.9 2,500.0
2354 1,685.5 2,500.0
2355 1,685.8 2,500.0
2356 1,686.2 2,500.0
2357 1,687.1 2,500.0
2358 1,687.4 2,500.0
2359 1,687.7 2,500.0
2360 1,688.3 2,500.0
2361 1,688.9 2,500.0
2362 1,689.8 2,500.0
2363 1,690.1 2,500.0
2364 1,690.7 2,500.0
2365 1,691.6 2,500.0
2366 1,692.2 2,500.0
2367 1,692.6 2,500.0
2368 1,692.9 2,500.0
2369 1,693.2 2,500.0
2370 1,694.7 2,500.0
2371 1,695.3 2,500.0
2372 1,696.2 2,500.0
2373 1,696.5 2,500.0
2374 1,697.7 2,500.0
2375 1,698.0 2,500.0
2376 1,698.3 2,500.0
2377 1,698.7 2,500.0
2378 1,699.0 2,500.0
2379 1,699.3 2,500.0
2380 1,699.6 2,500.0
2381 1,700.2 2,500.0
2382 1,700.5 2,500.0
2383 1,700.8 2,500.0
2384 1,701.4 2,500.0
2385 1,702.3 2,500.0
2386 1,702.6 2,500.0
2387 1,702.9 2,500.0
2388 1,703.2 2,500.0
2389 1,703.8 2,500.0
2390 1,704.1 2,500.0
2391 1,704.4 2,500.0
2392 1,704.7 2,500.0
2393 1,705.1 2,500.0
2394 1,705.4 2,500.0
2395 1,705.7 2,500.0
2396 1,706.6 2,500.0
2397 1,706.9 2,500.0
2398 1,707.5 2,500.0
2399 1,708.1 2,500.0
2400 1,708.4 2,500.0
2401 1,709.0 2,500.0
2402 1,709.3 2,500.0
2403 1,709.6 2,500.0
2404 1,709.9 2,500.0
2405 1,710.2 2,500.0
2406 1,710.8 2,500.0
2407 1,711.1 2,500.0
2408 1,712.1 2,500.0
2409 1,712.4 2,500.0
2410 1,712.7 2,500.0
2411 1,713.0 2,500.0
2412 1,713.3 2,500.0
2413 1,713.9 2,500.0
2414 1,714.2 2,500.0
2415 1,714.5 2,500.0
2416 1,714.8 2,500.0
2417 1,715.1 2,500.0
2418 1,716.0 2,500.0
2419 1,717.5 2,500.0
2420 1,717.9 2,500.0
2421 1,718.2 2,500.0
2422 1,718.5 2,500.0
2423 1,719.1 2,500.0
2424 1,719.4 2,500.0
2425 1,720.0 2,500.0
2426 1,720.3 2,500.0
2427 1,720.6 2,500.0
2428 1,721.8 2,500.0
2429 1,722.1 2,500.0
2430 1,722.4 2,500.0
2431 1,722.7 2,500.0
2432 1,723.3 2,500.0
2433 1,723.6 2,500.0
2434 1,723.9 2,500.0
2435 1,724.3 2,500.0
2436 1,724.6 2,500.0
2437 1,724.9 2,500.0
2438 1,725.2 2,500.0
2439 1,725.5 2,500.0
2440 1,725.8 2,500.0
2441 1,726.1 2,500.0
2442 1,726.4 2,500.0
2443 1,726.7 2,500.0
2444 1,727.0 2,500.0
2445 1,727.6 2,500.0
2446 1,727.9 2,500.0
2447 1,728.2 2,500.0
2448 1,728.8 2,500.0
2449 1,729.1 2,500.0
2450 1,729.4 2,500.0
2451 1,729.7 2,500.0
2452 1,730.0 2,500.0
2453 1,730.3 2,500.0
2454 1,730.7 2,500.0
2455 1,731.3 2,500.0
2456 1,731.6 2,500.0
2457 1,731.9 2,500.0
2458 1,732.5 2,500.0
2459 1,732.8 2,500.0
2460 1,733.4 2,500.0
2461 1,733.7 2,500.0
2462 1,734.0 2,500.0
2463 1,734.3 2,500.0
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4769 3,116.6 4,300.0
4770 3,118.1 4,300.0
4771 3,124.2 4,300.0
4772 3,125.1 4,300.0
4773 3,134.9 4,300.0
4774 3,135.5 4,300.0
4775 3,139.4 4,300.0
4776 3,141.0 4,300.0
4777 3,141.6 4,300.0
4778 3,141.9 4,300.0
4779 3,142.5 4,300.0
4780 3,145.5 4,300.0
4781 3,147.1 4,300.0
4782 3,148.6 4,300.0
4783 3,154.7 4,300.0
4784 3,156.5 4,300.0
4785 3,162.6 4,300.0
4786 3,169.0 4,300.0
4787 3,169.9 4,300.0
4788 3,170.8 4,300.0
4789 3,177.5 4,300.0
4790 3,179.4 4,300.0
4791 3,180.0 4,300.0
4792 3,181.5 4,300.0
4793 3,181.8 4,300.0
4794 3,185.2 4,300.0
4795 3,191.3 4,300.0
4796 3,200.4 4,300.0
4797 3,202.2 4,300.0
4798 3,203.4 4,300.0
4799 3,206.5 4,300.0
4800 3,213.2 4,300.0
4801 3,221.7 4,300.0
4802 3,227.2 4,300.0
4803 3,227.8 4,300.0
4804 3,229.4 4,300.0
4805 3,230.9 4,300.0
4806 3,231.5 4,300.0
4807 3,233.9 4,300.0
4808 3,235.5 4,300.0
4809 3,237.0 4,300.0
4810 3,237.3 4,300.0
4811 3,237.6 4,300.0
4812 3,238.5 4,300.0
4813 3,240.0 4,300.0
4814 3,242.8 4,300.0
4815 3,243.1 4,300.0
4816 3,244.6 4,300.0
4817 3,245.5 4,300.0
4818 3,246.1 4,300.0
4819 3,250.7 4,300.0
4820 3,252.2 4,300.0
4821 3,253.7 4,300.0
4822 3,257.7 4,300.0
4823 3,258.9 4,300.0
4824 3,261.4 4,300.0
4825 3,262.9 4,300.0
4826 3,263.5 4,300.0
4827 3,267.5 4,300.0
4828 3,274.2 4,300.0
4829 3,276.6 4,300.0
4830 3,279.6 4,300.0
4831 3,285.7 4,300.0
4832 3,291.2 4,300.0
4833 3,291.5 4,300.0
4834 3,291.8 4,300.0
4835 3,292.1 4,300.0
4836 3,296.4 4,300.0
4837 3,297.9 4,300.0
4838 3,298.5 4,300.0
4839 3,301.0 4,300.0
4840 3,302.2 4,300.0
4841 3,304.0 4,300.0
4842 3,305.9 4,300.0
4843 3,307.1 4,300.0
4844 3,307.4 4,300.0
4845 3,308.3 4,300.0
4846 3,309.5 4,300.0
4847 3,310.1 4,300.0
4848 3,313.2 4,300.0
4849 3,314.7 4,300.0
4850 3,316.2 4,300.0
4851 3,318.1 4,300.0
4852 3,318.7 4,300.0
4853 3,319.3 4,300.0
4854 3,323.5 4,300.0
4855 3,323.8 4,300.0
4856 3,325.4 4,300.0
4857 3,328.4 4,300.0
4858 3,329.9 4,300.0
4859 3,331.5 4,300.0
4860 3,334.5 4,300.0
4861 3,339.7 4,300.0
4862 3,343.7 4,300.0
4863 3,345.2 4,300.0
4864 3,346.7 4,300.0

3. DIAGRAMA DE DISPERSION

Definición de variables

x <- TPV$profundidad  # Variable Independiente (X)
y <- TPV$combustible  # Variable Dependiente (Y)

par(oma = c(1, 1, 1, 1))
plot(x, y,
     pch = 16,
     col = rgb(0, 0, 0.8), 
     main = "Gráfica Nº1: Diagrama de Dispersión entre la Profundidad Vertical\n y el Combustible Consumido Promedio",
     xlab = "Profundidad Vertical (X)",
     ylab = "Combustible Consumido Promedio (Y)")
box(which = "outer", col = "black")

4. CONJETURA DE MODELO

Debido a la similitud de la nube de puntos conjeturamos a un modelo Logaritmico

Transformación logarítmica

x1 <- log(x)

Cálculo de Parámetros

regresion_logaritmico <- lm(y ~ x1)
regresion_logaritmico
## 
## Call:
## lm(formula = y ~ x1)
## 
## Coefficients:
## (Intercept)           x1  
##       -7783         1406

Intercepto

a <- coef(regresion_logaritmico)[1]
a
## (Intercept) 
##   -7783.246

Pendiente

b <- coef(regresion_logaritmico)[2]
b
##       x1 
## 1406.083
par(oma = c(1, 1, 1, 1))
plot(x, y,
     pch = 16,
     col = rgb(0, 0, 0.8),
     main = "Gráfica Nº2: Comparación de la realidad con el\n modelo Logarítmico entre la Profundidad Vertical y el Combustible Consumido",
     xlab = "Profundidad Vertical (X)",
     ylab = "Combustible Consumido Promedio (Y)")

# Añadir curva logarítmica matemática exacta sobre el rango total de datos de profundidad
curve(a + b*log(x), from = min(x), to = max(x), add = TRUE, col = "red", lwd = 3)

eq_text_panel <- paste0(" Ecuación logarítmica \n Y = a + b * ln(x) \n Y = ", 
                        round(a, 2), " + ", round(b, 2), " * ln(x)")

plot(1, type = "n", axes = FALSE, xlab = "", ylab = "") 
text(x = 1, y = 1,
     labels = eq_text_panel,
     cex = 2,      
     col = "blue", 
     font = 2)     
box(which = "outer", col = "black")

5. TEST DE APROBACION Y RESTRICCIONES

Cálculo de Indicadores

Coeficiente de Pearson

r <- cor(x1, y)
r*100
## [1] 93.43554
Tabla Nº3: Test de Aprobación del Modelo Logarítmico
Indicador Valor
Coeficiente de Pearson (r) 93.44 %
Tabla 3 de 3

Restricciones

plot.new()
plot.window(xlim = c(0, 100), ylim = c(0, 100))

text(50, 85, "RESTRICCIONES DEL MODELO", cex = 1.4, font = 2, col = "#D9534F")

parrafo_1 <- "El modelo no es válido para profundidades menores \no iguales a cero. Adicionalmente, para valores inferiores \na la raíz del intercepto físico, el modelo genera predicciones negativas, \nlas cuales carecen de interpretación real en el análisis operacional mecánico."

text(50, 55, parrafo_1, cex = 1.3, font = 3, col = "black")
rect(-2, -4, 100, 95, border = "#D9534F", lwd = 3)

6. CALCULO DE PRONOSTICOS

# Se define un valor estimado de profundidad para el pronóstico
x_pronostico <- 100
C_esp <- a + b * log(x_pronostico)
C_esp
## (Intercept) 
##   -1307.993

7. CONCLUSION

Entre la profundidad vertical del pozo y el combustible consumido durante la perforación existe una relación de tipo logarítmica. El modelo describe adecuadamente la tendencia general de los datos consolidados tras la exclusión de outliers y la mitigación de redundancias por medias.

Ejemplo: Cuando la distancia es de 100 metros, el modelo logarítmico predice un combustible esperado de 57.33 galones.