| PaperTimDamen | *Unverified author* | R Software Module: /rwasp_multipleregression.wasp (opens new window with default values) | Title produced by software: Multiple Regression | Date of computation: Thu, 03 Feb 2011 11:54:00 +0000 | | Cite this page as follows: | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b.htm/, Retrieved Thu, 03 Feb 2011 13:08:16 +0100 | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b.htm/},
year = {2011},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2011},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | Original text written by user: | | | IsPrivate? | No (this computation is public) | | User-defined keywords: | | | Dataseries X: | » Textbox « » Textfile « » CSV « | 349 0
336 349
331 336
327 331
323 327
322 323
385 322
405 385
412 405
411 412
410 411
415 410
414 415
411 414
408 411
410 408
411 410
416 411
479 416
498 479
502 498
498 502
499 498
506 499
510 506
509 510
502 509
495 502
490 495
490 490
553 490
570 553
573 570
572 573
575 572
580 575
580 580
574 580
563 574
556 563
546 556
545 546
605 545
628 605
631 628
626 631
614 626
606 614
602 606
589 602
574 589
558 574
552 558
546 552
607 546
636 607
631 636
623 631
618 623
605 618
619 605
596 619
570 596
546 570
528 546
506 528
555 506
568 555
564 568
553 564
541 553
542 541
540 542
521 540
505 521
491 505
482 491
478 482
523 478
531 523
532 531
540 532
525 540
533 525
531 533
508 531
495 508
482 495
470 482
466 470
515 466
518 515
516 518
511 516
500 511
498 500
494 498
476 494
458 476
443 458
430 443
424 430
476 424
481 476
470 481
460 470
451 460
450 451
444 450
429 444
421 429
400 421
389 400
384 389
etc... | | Output produced by software: | Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!
Multiple Linear Regression - Estimated Regression Equation | werkloosheid[t] = + 54.7330874906929 + 0.898050150387643y1[t] + 19.696446900927M1[t] -5.15477965536067M2[t] -3.09064481210086M3[t] -5.914246935678M4[t] -11.7112303740971M5[t] -2.85516667143077M6[t] + 19.2518650578942M7[t] + 6.27276297254629M8[t] -9.30674658007266M9[t] -4.95944027150728M10[t] -5.28957134792985M11[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value | (Intercept) | 54.7330874906929 | 7.295581 | 7.5022 | 0 | 0 | y1 | 0.898050150387643 | 0.01275 | 70.4346 | 0 | 0 | M1 | 19.696446900927 | 4.26556 | 4.6176 | 5e-06 | 2e-06 | M2 | -5.15477965536067 | 4.265068 | -1.2086 | 0.227411 | 0.113706 | M3 | -3.09064481210086 | 4.26359 | -0.7249 | 0.468872 | 0.234436 | M4 | -5.914246935678 | 4.26319 | -1.3873 | 0.166001 | 0.083 | M5 | -11.7112303740971 | 4.262903 | -2.7472 | 0.006236 | 0.003118 | M6 | -2.85516667143077 | 4.265108 | -0.6694 | 0.503547 | 0.251774 | M7 | 19.2518650578942 | 4.265169 | 4.5137 | 8e-06 | 4e-06 | M8 | 6.27276297254629 | 4.26522 | 1.4707 | 0.142035 | 0.071017 | M9 | -9.30674658007266 | 4.268933 | -2.1801 | 0.029735 | 0.014868 | M10 | -4.95944027150728 | 4.264204 | -1.163 | 0.245392 | 0.122696 | M11 | -5.28957134792985 | 4.263213 | -1.2407 | 0.215306 | 0.107653 |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.955684476054623 | R-squared | 0.9133328177718 | Adjusted R-squared | 0.91116161487673 | F-TEST (value) | 420.657516552579 | F-TEST (DF numerator) | 12 | F-TEST (DF denominator) | 479 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 19.3010671119499 | Sum Squared Residuals | 178442.440805136 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 349 | 74.4295343916197 | 274.57046560838 | 2 | 336 | 362.997810320619 | -26.9978103206192 | 3 | 331 | 353.38729320884 | -22.3872932088398 | 4 | 327 | 346.073440333324 | -19.0734403333244 | 5 | 323 | 336.684256293355 | -13.6842562933547 | 6 | 322 | 341.94811939447 | -19.9481193944705 | 7 | 385 | 363.157100973408 | 21.8428990265921 | 8 | 405 | 406.755158362481 | -1.75515836248143 | 9 | 412 | 409.136651817615 | 2.86334818238469 | 10 | 411 | 419.770309178894 | -8.77030917889422 | 11 | 410 | 418.542127952084 | -8.542127952084 | 12 | 415 | 422.933649149626 | -7.93364914962622 | 13 | 414 | 447.120346802491 | -33.1203468024914 | 14 | 411 | 421.371070095816 | -10.3710700958161 | 15 | 408 | 420.741054487913 | -12.741054487913 | 16 | 410 | 415.223301913173 | -5.22330191317292 | 17 | 411 | 411.222418775529 | -0.222418775529067 | 18 | 416 | 420.976532628583 | -4.97653262858308 | 19 | 479 | 447.573815109846 | 31.4261848901537 | 20 | 498 | 491.17187249892 | 6.82812750108015 | 21 | 502 | 492.655315803666 | 9.34468419633389 | 22 | 498 | 500.594822713782 | -2.59482271378206 | 23 | 499 | 496.672491035809 | 2.32750896419108 | 24 | 506 | 502.860112534126 | 3.13988746587359 | 25 | 510 | 528.842910487767 | -18.8429104877669 | 26 | 509 | 507.58388453303 | 1.41611546697019 | 27 | 502 | 508.749969225902 | -6.74996922590198 | 28 | 495 | 499.640016049611 | -4.64001604961135 | 29 | 490 | 487.556681558479 | 2.44331844152131 | 30 | 490 | 491.922494509207 | -1.92249450920685 | 31 | 553 | 514.029526238532 | 38.9704737614681 | 32 | 570 | 557.627583627605 | 12.3724163723946 | 33 | 573 | 557.314926631576 | 15.6850733684236 | 34 | 572 | 564.356383391305 | 7.64361660869529 | 35 | 575 | 563.128202164494 | 11.8717978355055 | 36 | 580 | 571.111923963587 | 8.88807603641273 | 37 | 580 | 595.298621616452 | -15.2986216164525 | 38 | 574 | 570.447395060165 | 3.55260493983518 | 39 | 563 | 567.123229001099 | -4.12322900109876 | 40 | 556 | 554.421075223258 | 1.57892477674245 | 41 | 546 | 542.337740732125 | 3.66225926787508 | 42 | 545 | 542.213302930915 | 2.78669706908515 | 43 | 605 | 563.422284509852 | 41.5777154901478 | 44 | 628 | 604.326191447763 | 23.6738085522372 | 45 | 631 | 609.40183535406 | 21.5981646459403 | 46 | 626 | 616.443292113788 | 9.556707886212 | 47 | 614 | 611.622910285427 | 2.37708971457279 | 48 | 606 | 606.135879828705 | -0.135879828705362 | 49 | 602 | 618.647925526531 | -16.6479255265312 | 50 | 589 | 590.204498368693 | -1.20449836869295 | 51 | 574 | 580.593981256913 | -6.5939812569134 | 52 | 558 | 564.299626877522 | -6.29962687752162 | 53 | 552 | 544.1338410329 | 7.8661589670998 | 54 | 546 | 547.601603833241 | -1.6016038332407 | 55 | 607 | 564.32033466024 | 42.6796653397601 | 56 | 636 | 606.122291748538 | 29.8777082514618 | 57 | 631 | 616.586236557161 | 14.4137634428392 | 58 | 623 | 616.443292113788 | 6.556707886212 | 59 | 618 | 608.928759834264 | 9.07124016573571 | 60 | 605 | 609.728080430256 | -4.72808043025592 | 61 | 619 | 617.749875376144 | 1.25012462385644 | 62 | 596 | 605.471350925283 | -9.4713509252829 | 63 | 570 | 586.880332309627 | -16.8803323096269 | 64 | 546 | 560.707426275971 | -14.7074262759711 | 65 | 528 | 533.357239228248 | -5.35723922824848 | 66 | 506 | 526.048400223937 | -20.0484002239373 | 67 | 555 | 528.398328644734 | 26.6016713552658 | 68 | 568 | 559.42368392838 | 8.5763160716193 | 69 | 564 | 555.518826330801 | 8.4811736691989 | 70 | 553 | 556.273932037816 | -3.27393203781591 | 71 | 541 | 546.065249307129 | -5.06524930712927 | 72 | 542 | 540.578218850407 | 1.42178114959259 | 73 | 540 | 561.172715901722 | -21.1727159017221 | 74 | 521 | 534.525389044659 | -13.5253890446591 | 75 | 505 | 519.526571030554 | -14.5265710305537 | 76 | 491 | 502.334166500774 | -11.3341665007743 | 77 | 482 | 483.964480956928 | -1.96448095692812 | 78 | 478 | 484.738093306106 | -6.73809330610571 | 79 | 523 | 503.25292443388 | 19.7470755661198 | 80 | 531 | 530.686079115976 | 0.313920884023864 | 81 | 532 | 522.290970766458 | 9.70902923354167 | 82 | 540 | 527.536327225411 | 12.4636727745887 | 83 | 525 | 534.39059735209 | -9.39059735208992 | 84 | 533 | 526.209416444205 | 6.79058355579487 | 85 | 531 | 553.090264548233 | -22.0902645482333 | 86 | 508 | 526.44293769117 | -18.4429376911703 | 87 | 495 | 507.851919075514 | -12.8519190755143 | 88 | 482 | 493.353664996898 | -11.3536649968978 | 89 | 470 | 475.882029603439 | -5.88202960343934 | 90 | 466 | 473.961491501454 | -7.96149150145399 | 91 | 515 | 492.476322629228 | 22.5236773707715 | 92 | 518 | 523.501677912875 | -5.50167791287499 | 93 | 516 | 510.616318811419 | 5.38368118858103 | 94 | 511 | 513.167524819209 | -2.16752481920906 | 95 | 500 | 508.347142990848 | -8.34714299084828 | 96 | 498 | 503.758162684514 | -5.75816268451406 | 97 | 494 | 521.658509284666 | -27.6585092846658 | 98 | 476 | 493.215082126828 | -17.2150821268275 | 99 | 458 | 479.11431426311 | -21.1143142631098 | 100 | 443 | 460.125809432555 | -17.1258094325551 | 101 | 430 | 440.858073738321 | -10.8580737383213 | 102 | 424 | 438.039485485948 | -14.0394854859483 | 103 | 476 | 454.758216312947 | 21.2417836870526 | 104 | 481 | 488.477722047757 | -7.47772204775692 | 105 | 470 | 477.388463247076 | -7.38846324707618 | 106 | 460 | 471.857217901378 | -11.8572179013775 | 107 | 451 | 462.546585321079 | -11.5465853210785 | 108 | 450 | 459.75370531552 | -9.75370531551956 | 109 | 444 | 478.552102066059 | -34.5521020660589 | 110 | 429 | 448.312574607445 | -19.3125746074454 | 111 | 421 | 436.905957194891 | -15.9059571948906 | 112 | 400 | 426.897953868212 | -26.8979538682123 | 113 | 389 | 402.241917271653 | -13.2419172716526 | 114 | 384 | 401.219429320055 | -17.2194293200549 | 115 | 432 | 418.836210297442 | 13.1637897025582 | 116 | 446 | 448.963515430701 | -2.96351543070065 | 117 | 431 | 445.956707983509 | -14.9567079835087 | 118 | 423 | 436.833262036259 | -13.8332620362594 | 119 | 416 | 429.318729756736 | -13.3187297567357 | 120 | 416 | 428.321950051952 | -12.3219500519521 | 121 | 413 | 448.018396952879 | -35.0183969528791 | 122 | 399 | 420.473019945428 | -21.4730199454285 | 123 | 386 | 409.964452683261 | -23.9644526832613 | 124 | 374 | 395.466198604645 | -21.4661986046448 | 125 | 365 | 378.892613361574 | -13.8926133615739 | 126 | 365 | 379.666225710752 | -14.6662257107515 | 127 | 418 | 401.773257440077 | 16.2267425599235 | 128 | 428 | 436.390813325274 | -8.39081332527365 | 129 | 424 | 429.791805276531 | -5.79180527653112 | 130 | 421 | 430.546910983546 | -9.54691098354593 | 131 | 417 | 427.52262945596 | -10.5226294559604 | 132 | 423 | 429.22000020234 | -6.2200002023397 | 133 | 423 | 454.304748005593 | -31.3047480055926 | 134 | 419 | 429.453521449305 | -10.4535214493049 | 135 | 406 | 427.925455691014 | -21.9254556910141 | 136 | 398 | 413.427201612398 | -15.4272016123976 | 137 | 390 | 400.445816970877 | -10.4458169708774 | 138 | 391 | 402.117479470443 | -11.1174794704426 | 139 | 444 | 425.122561350155 | 18.8774386498447 | 140 | 460 | 459.740117235352 | 0.259882764647652 | 141 | 455 | 458.529410088936 | -3.52941008893568 | 142 | 456 | 458.386465645563 | -2.38646564556285 | 143 | 452 | 458.954384719528 | -6.95438471952791 | 144 | 459 | 460.651755465907 | -1.6517554659072 | 145 | 461 | 486.634553419548 | -25.6345534195477 | 146 | 451 | 463.579427164035 | -12.5794271640353 | 147 | 443 | 456.663060503419 | -13.6630605034187 | 148 | 439 | 446.65505717674 | -7.65505717674042 | 149 | 430 | 437.265873136771 | -7.2658731367707 | 150 | 436 | 438.039485485948 | -2.0394854859483 | 151 | 488 | 465.534818117599 | 22.4651818824008 | 152 | 506 | 499.254323852409 | 6.74567614759137 | 153 | 502 | 499.839717006767 | 2.16028299323275 | 154 | 501 | 500.594822713782 | 0.405177286217939 | 155 | 501 | 499.366641486972 | 1.63335851302815 | 156 | 515 | 504.656212834902 | 10.3437871650983 | 157 | 521 | 536.925361841256 | -15.9253618412557 | 158 | 520 | 517.462436187294 | 2.53756381270611 | 159 | 512 | 518.628520880166 | -6.62852088016605 | 160 | 509 | 508.620517553488 | 0.379482446512234 | 161 | 505 | 500.129383663906 | 4.8706163360943 | 162 | 511 | 505.393246765022 | 5.6067532349785 | 163 | 570 | 532.888579396672 | 37.1114206033276 | 164 | 592 | 572.894436184195 | 19.1055638158046 | 165 | 594 | 577.072029940105 | 16.9279700598955 | 166 | 586 | 583.215436549445 | 2.78456345055479 | 167 | 586 | 575.700904269921 | 10.2990957300785 | 168 | 592 | 580.990475617851 | 11.0095243821486 | 169 | 594 | 606.075223421104 | -12.0752234211042 | 170 | 594 | 583.020097165592 | 10.9799028344082 | 171 | 586 | 585.084232008852 | 0.91576799114837 | 172 | 586 | 575.076228682173 | 10.9237713178267 | 173 | 572 | 569.279245243754 | 2.7207547562458 | 174 | 572 | 565.562606840994 | 6.43739315900643 | 175 | 563 | 587.669638570319 | -24.6696385703186 | 176 | 563 | 566.608085131482 | -3.60808513148185 | 177 | 555 | 551.028575578863 | 3.97142442113711 | 178 | 555 | 548.191480684327 | 6.80851931567287 | 179 | 554 | 547.861349607905 | 6.13865039209545 | 180 | 554 | 552.252870805447 | 1.74712919455323 | 181 | 601 | 571.949317706374 | 29.0506822936262 | 182 | 601 | 589.306448218305 | 11.6935517816947 | 183 | 622 | 591.370583061565 | 30.6294169384349 | 184 | 622 | 607.406034096128 | 14.5939659038715 | 185 | 617 | 601.609050657709 | 15.3909493422906 | 186 | 617 | 605.974863608438 | 11.0251363915625 | 187 | 606 | 628.081895337762 | -22.0818953377625 | 188 | 606 | 605.22424159815 | 0.77575840184951 | 189 | 595 | 589.644732045532 | 5.35526795446846 | 190 | 595 | 584.113486699833 | 10.8865133001671 | 191 | 599 | 583.78335562341 | 15.2166443765897 | 192 | 599 | 592.665127572891 | 6.3348724271093 | 193 | 600 | 612.361574473818 | -12.3615744738177 | 194 | 600 | 588.408398067918 | 11.5916019320823 | 195 | 592 | 590.472532911177 | 1.5274670888225 | 196 | 592 | 580.464529584499 | 11.5354704155008 | 197 | 575 | 574.66754614608 | 0.332453853919945 | 198 | 575 | 568.256757292157 | 6.7432427078435 | 199 | 567 | 590.363789021482 | -23.3637890214815 | 200 | 567 | 570.200285733032 | -3.20028573303242 | 201 | 555 | 554.620776180413 | 0.379223819586538 | 202 | 555 | 548.191480684327 | 6.80851931567287 | 203 | 555 | 547.861349607905 | 7.13865039209544 | 204 | 555 | 553.150920955834 | 1.84907904416559 | 205 | 608 | 572.847367856761 | 35.1526321432386 | 206 | 608 | 595.592799271019 | 12.4072007289812 | 207 | 631 | 597.656934114279 | 33.3430658857214 | 208 | 631 | 615.488485449617 | 15.5115145503827 | 209 | 629 | 609.691502011198 | 19.3084979888019 | 210 | 629 | 616.751465413089 | 12.2485345869108 | 211 | 624 | 638.858497142414 | -14.8584971424142 | 212 | 624 | 621.389144305128 | 2.61085569487193 | 213 | 610 | 605.809634752509 | 4.19036524749089 | 214 | 610 | 597.584238955647 | 12.4157610443525 | 215 | 616 | 597.254107879225 | 18.7458921207751 | 216 | 616 | 607.93198012948 | 8.06801987051936 | 217 | 621 | 627.628427030408 | -6.62842703040764 | 218 | 621 | 607.267451226058 | 13.7325487739418 | 219 | 604 | 609.331586069318 | -5.33158606931797 | 220 | 604 | 591.241131389151 | 12.7588686108491 | 221 | 584 | 585.444147950732 | -1.44414795073178 | 222 | 584 | 576.339208645645 | 7.6607913543547 | 223 | 574 | 598.44624037497 | -24.4462403749703 | 224 | 574 | 576.486636785746 | -2.48663678574592 | 225 | 555 | 560.907127233127 | -5.90712723312697 | 226 | 555 | 548.191480684327 | 6.80851931567287 | 227 | 545 | 547.861349607905 | -2.86134960790456 | 228 | 545 | 544.170419451958 | 0.82958054804202 | 229 | 599 | 563.866866352885 | 35.133133647115 | 230 | 599 | 587.51034791753 | 11.48965208247 | 231 | 620 | 589.57448276079 | 30.4255172392102 | 232 | 620 | 605.609933795353 | 14.3900662046468 | 233 | 608 | 599.812950356934 | 8.18704964306594 | 234 | 608 | 597.892412254949 | 10.1075877450513 | 235 | 590 | 619.999443984274 | -29.9994439842737 | 236 | 590 | 590.855439191948 | -0.855439191948215 | 237 | 579 | 575.275929639329 | 3.72407036067075 | 238 | 579 | 569.744684293631 | 9.25531570636943 | 239 | 580 | 569.414553217208 | 10.585446782792 | 240 | 580 | 575.602174715526 | 4.3978252844745 | 241 | 579 | 595.298621616452 | -16.2986216164525 | 242 | 579 | 569.549344909777 | 9.45065509022282 | 243 | 572 | 571.613479753037 | 0.386520246963019 | 244 | 572 | 562.503526576746 | 9.49647342325366 | 245 | 560 | 556.706543138327 | 3.2934568616728 | 246 | 560 | 554.786005036342 | 5.21399496365815 | 247 | 551 | 576.893036765667 | -25.8930367656669 | 248 | 551 | 555.83148332683 | -4.83148332683014 | 249 | 537 | 540.251973774211 | -3.25197377421116 | 250 | 537 | 532.02657797735 | 4.97342202265044 | 251 | 541 | 531.696446900927 | 9.30355309907301 | 252 | 541 | 540.578218850407 | 0.421781149592593 | 253 | 588 | 560.274665751334 | 27.7253342486656 | 254 | 588 | 577.631796263266 | 10.368203736734 | 255 | 607 | 579.695931106526 | 27.3040688934742 | 256 | 607 | 593.935281840314 | 13.0647181596861 | 257 | 599 | 588.138298401895 | 10.8617015981053 | 258 | 599 | 589.80996090146 | 9.19003909854008 | 259 | 578 | 611.916992630785 | -33.9169926307849 | 260 | 578 | 580.078837387297 | -2.07883738729649 | 261 | 563 | 564.499327834678 | -1.49932783467754 | 262 | 563 | 555.375881887428 | 7.62411811257172 | 263 | 566 | 555.045750811006 | 10.9542491889943 | 264 | 566 | 563.029472610099 | 2.97052738990151 | 265 | 561 | 582.725919511025 | -21.7259195110255 | 266 | 561 | 553.3844422028 | 7.6155577972004 | 267 | 554 | 555.44857704606 | -1.44857704605942 | 268 | 554 | 546.338623869769 | 7.66137613023123 | 269 | 540 | 540.54164043135 | -0.541640431349623 | 270 | 540 | 536.825002028589 | 3.17499797141101 | 271 | 526 | 558.932033757914 | -32.932033757914 | 272 | 526 | 533.380229567139 | -7.38022956713907 | 273 | 512 | 517.80072001452 | -5.80072001452011 | 274 | 512 | 509.575324217658 | 2.42467578234151 | 275 | 505 | 509.245193141236 | -4.24519314123593 | 276 | 505 | 508.248413436452 | -3.24841343645228 | 277 | 554 | 527.944860337379 | 26.0551396626207 | 278 | 554 | 547.098091150086 | 6.9019088499139 | 279 | 584 | 549.162225993346 | 34.8377740066541 | 280 | 584 | 573.280128381398 | 10.7198716186019 | 281 | 569 | 567.483144942979 | 1.51685505702109 | 282 | 569 | 562.86845638983 | 6.13154361016935 | 283 | 540 | 584.975488119156 | -44.9754881191557 | 284 | 540 | 545.952931672566 | -5.95293167256606 | 285 | 522 | 530.373422119947 | -8.3734221199471 | 286 | 522 | 518.555825721535 | 3.44417427846508 | 287 | 526 | 518.225694645112 | 7.77430535488765 | 288 | 526 | 527.107466594593 | -1.10746659459277 | 289 | 527 | 546.80391349552 | -19.8039134955198 | 290 | 527 | 522.85073708962 | 4.14926291038025 | 291 | 516 | 524.91487193288 | -8.91487193287955 | 292 | 516 | 512.212718155038 | 3.78728184496166 | 293 | 503 | 506.415734716619 | -3.4157347166192 | 294 | 503 | 503.597146464246 | -0.597146464246218 | 295 | 489 | 525.704178193571 | -36.7041781935712 | 296 | 489 | 500.152374002796 | -11.1523740027963 | 297 | 479 | 484.572864450177 | -5.57286445017732 | 298 | 479 | 479.939669254866 | -0.939669254866279 | 299 | 475 | 479.609538178444 | -4.60953817844371 | 300 | 475 | 481.306908924823 | -6.30690892482298 | 301 | 524 | 501.00335582575 | 22.99664417425 | 302 | 524 | 520.156586638457 | 3.84341336154318 | 303 | 552 | 522.220721481717 | 29.7792785182834 | 304 | 552 | 544.542523568993 | 7.45747643100652 | 305 | 532 | 538.745540130574 | -6.74554013057435 | 306 | 532 | 529.640600825488 | 2.35939917451214 | 307 | 511 | 551.747632554813 | -40.7476325548129 | 308 | 511 | 519.909477311324 | -8.90947731132442 | 309 | 492 | 504.329967758705 | -12.3299677587055 | 310 | 492 | 491.614321209906 | 0.385678790094368 | 311 | 492 | 491.284190133483 | 0.715809866516941 | 312 | 492 | 496.573761481413 | -4.57376148141291 | 313 | 493 | 516.27020838234 | -23.2702083823399 | 314 | 493 | 492.31703197644 | 0.682968023560115 | 315 | 481 | 494.3811668197 | -13.3811668196997 | 316 | 481 | 480.780962891471 | 0.21903710852916 | 317 | 462 | 474.983979453052 | -12.9839794530517 | 318 | 462 | 466.777090298353 | -4.77709029835285 | 319 | 457 | 488.884122027678 | -31.8841220276779 | 320 | 457 | 471.414769190392 | -14.4147691903917 | 321 | 442 | 455.835259637773 | -13.8352596377728 | 322 | 442 | 446.711813690524 | -4.7118136905235 | 323 | 439 | 446.381682614101 | -7.38168261410093 | 324 | 439 | 448.977103510868 | -9.97710351086784 | 325 | 488 | 468.673550411795 | 19.3264495882052 | 326 | 488 | 487.826781224502 | 0.173218775498328 | 327 | 521 | 489.890916067762 | 31.1090839322385 | 328 | 521 | 516.702968906977 | 4.29703109302344 | 329 | 501 | 510.905985468557 | -9.9059854685574 | 330 | 501 | 501.801046163471 | -0.801046163470924 | 331 | 485 | 523.908077892796 | -38.9080778927959 | 332 | 485 | 496.560173401246 | -11.5601734012457 | 333 | 464 | 480.980663848627 | -16.9806638486268 | 334 | 464 | 466.468916999052 | -2.46891699905163 | 335 | 460 | 466.138785922629 | -6.13878592262906 | 336 | 460 | 467.836156669008 | -7.83615666900834 | 337 | 467 | 487.532603569935 | -20.5326035699354 | 338 | 467 | 468.967728066361 | -1.96772806636117 | 339 | 460 | 471.031862909621 | -11.031862909621 | 340 | 460 | 461.92190973333 | -1.92190973333034 | 341 | 448 | 456.124926294911 | -8.1249262949112 | 342 | 448 | 454.204388192926 | -6.20438819292586 | 343 | 443 | 476.311419922251 | -33.3114199222509 | 344 | 443 | 458.842067084965 | -15.8420670849647 | 345 | 436 | 443.262557532346 | -7.26255753234575 | 346 | 436 | 441.323512788198 | -5.32351278819765 | 347 | 431 | 440.993381711775 | -9.99338171177508 | 348 | 431 | 441.792702307767 | -10.7927023077667 | 349 | 484 | 461.489149208694 | 22.5108507913063 | 350 | 484 | 484.234580622951 | -0.234580622951101 | 351 | 510 | 486.298715466211 | 23.7012845337891 | 352 | 510 | 506.824417252712 | 3.17558274728752 | 353 | 513 | 501.027433814293 | 11.9725661857067 | 354 | 513 | 512.577647968123 | 0.422352031877358 | 355 | 503 | 534.684679697448 | -31.6846796974477 | 356 | 503 | 512.725076108223 | -9.72507610822327 | 357 | 471 | 497.145566555604 | -26.1455665556043 | 358 | 471 | 472.755268051765 | -1.75526805176514 | 359 | 471 | 472.425136975343 | -1.42513697534256 | 360 | 471 | 477.714708323272 | -6.71470832327241 | 361 | 476 | 497.411155224199 | -21.4111552241994 | 362 | 476 | 477.05017941985 | -1.05017941984996 | 363 | 475 | 479.11431426311 | -4.11431426310976 | 364 | 475 | 475.392661989145 | -0.392661989144988 | 365 | 470 | 469.595678550726 | 0.404321449274159 | 366 | 470 | 473.961491501454 | -3.961491501454 | 367 | 461 | 496.068523230779 | -35.068523230779 | 368 | 461 | 475.006969791942 | -14.0069697919423 | 369 | 455 | 459.427460239323 | -4.42746023932332 | 370 | 455 | 458.386465645563 | -3.38646564556285 | 371 | 456 | 458.05633456914 | -2.05633456914028 | 372 | 456 | 464.243956067458 | -8.24395606745777 | 373 | 517 | 483.940402968385 | 33.0595970316152 | 374 | 517 | 513.870235585743 | 3.12976441425668 | 375 | 525 | 515.934370429003 | 9.06562957099688 | 376 | 525 | 520.295169508527 | 4.70483049147287 | 377 | 523 | 514.498186070108 | 8.50181392989202 | 378 | 523 | 521.558149471999 | 1.44185052800093 | 379 | 519 | 543.665181201324 | -24.6651812013241 | 380 | 519 | 527.093878514426 | -8.09387851442557 | 381 | 509 | 511.514368961807 | -2.51436896180661 | 382 | 509 | 506.881173766496 | 2.11882623350444 | 383 | 512 | 506.551042690073 | 5.44895730992701 | 384 | 512 | 514.534764489166 | -2.53476448916577 | 385 | 519 | 534.231211390093 | -15.2312113900928 | 386 | 519 | 515.666335886519 | 3.3336641134814 | 387 | 517 | 517.730470729778 | -0.73047072977841 | 388 | 517 | 513.110768305426 | 3.88923169457402 | 389 | 510 | 507.313784867007 | 2.68621513299316 | 390 | 510 | 509.88349751696 | 0.116502483040292 | 391 | 509 | 531.990529246285 | -22.9905292462847 | 392 | 509 | 518.113377010549 | -9.11337701054913 | 393 | 501 | 502.53386745793 | -1.53386745793018 | 394 | 501 | 499.696772563394 | 1.30322743660558 | 395 | 507 | 499.366641486972 | 7.63335851302815 | 396 | 507 | 510.044513737228 | -3.04451373722756 | 397 | 569 | 529.740960638155 | 39.2590393618455 | 398 | 569 | 560.568843405901 | 8.43115659409925 | 399 | 580 | 562.632978249161 | 17.3670217508394 | 400 | 580 | 569.687927779848 | 10.3120722201525 | 401 | 578 | 563.890944341428 | 14.1090556585717 | 402 | 578 | 570.95090774332 | 7.04909225668058 | 403 | 565 | 593.057939472644 | -28.0579394726445 | 404 | 565 | 568.404185432257 | -3.40418543225713 | 405 | 547 | 552.824675879638 | -5.82467587963818 | 406 | 547 | 541.007079481226 | 5.99292051877401 | 407 | 555 | 540.676948404803 | 14.3230515951966 | 408 | 555 | 553.150920955834 | 1.84907904416559 | 409 | 562 | 572.847367856761 | -10.8473678567614 | 410 | 561 | 554.282492353187 | 6.71750764681276 | 411 | 555 | 555.44857704606 | -0.44857704605941 | 412 | 544 | 547.236674020156 | -3.23667402015641 | 413 | 537 | 531.561138927473 | 5.43886107252681 | 414 | 543 | 534.130851577426 | 8.86914842257393 | 415 | 594 | 561.626184209077 | 32.3738157909231 | 416 | 611 | 594.447639793499 | 16.5523602065012 | 417 | 613 | 594.13498279747 | 18.8650172025302 | 418 | 611 | 600.27838940681 | 10.7216105931896 | 419 | 594 | 598.152158029613 | -4.15215802961257 | 420 | 595 | 588.174876820952 | 6.82512317904751 | 421 | 591 | 608.769373872267 | -17.7693738722671 | 422 | 589 | 580.325946714429 | 8.6740532855711 | 423 | 584 | 580.593981256913 | 3.40601874308659 | 424 | 573 | 573.280128381398 | -0.280128381398071 | 425 | 567 | 557.604593288715 | 9.39540671128515 | 426 | 569 | 561.072356089055 | 7.92764391094465 | 427 | 621 | 584.975488119156 | 36.0245118808443 | 428 | 629 | 618.694993853965 | 10.3050061460349 | 429 | 628 | 610.299885504447 | 17.7001144955527 | 430 | 612 | 613.749141662625 | -1.74914166262506 | 431 | 595 | 599.05020818 | -4.05020818000022 | 432 | 597 | 589.07292697134 | 7.92707302865986 | 433 | 593 | 610.565474173042 | -17.5654741730424 | 434 | 590 | 582.122047015204 | 7.87795298479581 | 435 | 580 | 581.492031407301 | -1.49203140730106 | 436 | 574 | 569.687927779848 | 4.31207222015251 | 437 | 573 | 558.502643439102 | 14.4973565608975 | 438 | 573 | 566.460656991381 | 6.53934300861878 | 439 | 620 | 588.567688720706 | 31.4323112792937 | 440 | 626 | 617.796943703578 | 8.2030562964225 | 441 | 620 | 607.605735053284 | 12.3942649467156 | 442 | 588 | 606.564740459524 | -18.5647404595239 | 443 | 566 | 577.497004570697 | -11.4970045706968 | 444 | 557 | 563.029472610099 | -6.02947261009849 | 445 | 561 | 574.643468157537 | -13.6434681575367 | 446 | 549 | 553.3844422028 | -4.3844422027996 | 447 | 532 | 544.671975241408 | -12.6719752414077 | 448 | 526 | 526.581520561241 | -0.581520561240633 | 449 | 511 | 515.396236220496 | -4.39623622049563 | 450 | 499 | 510.781547667347 | -11.7815476673474 | 451 | 555 | 522.111977592021 | 32.8880224079793 | 452 | 565 | 559.42368392838 | 5.5763160716193 | 453 | 542 | 552.824675879638 | -10.8246758796382 | 454 | 527 | 536.516828729288 | -9.51682872928778 | 455 | 510 | 522.71594539705 | -12.7159453970506 | 456 | 514 | 512.73866418839 | 1.26133581160952 | 457 | 517 | 536.027311690868 | -19.0273116908681 | 458 | 508 | 513.870235585743 | -5.87023558574332 | 459 | 493 | 507.851919075514 | -14.8519190755143 | 460 | 490 | 491.557564696123 | -1.55756469612256 | 461 | 469 | 483.06643080654 | -14.0664308065405 | 462 | 478 | 473.063441351066 | 4.93655864893365 | 463 | 528 | 503.25292443388 | 24.7470755661198 | 464 | 534 | 535.176329867914 | -1.17632986791435 | 465 | 518 | 524.985121217621 | -6.98512121762125 | 466 | 506 | 514.963625119984 | -8.96362511998435 | 467 | 502 | 503.85689223891 | -1.85689223891006 | 468 | 516 | 505.554262985289 | 10.4457370147107 | 469 | 528 | 537.823411991643 | -9.82341199164334 | 470 | 533 | 523.748787240007 | 9.25121275999261 | 471 | 536 | 530.303172835205 | 5.69682716479459 | 472 | 537 | 530.173721162791 | 6.8262788372088 | 473 | 524 | 525.27478787476 | -1.2747878747597 | 474 | 536 | 522.456199622387 | 13.5438003776133 | 475 | 587 | 555.339833156364 | 31.6601668436365 | 476 | 597 | 588.161288740785 | 8.83871125921472 | 477 | 581 | 581.562280692043 | -0.562280692042768 | 478 | 564 | 571.540784594406 | -7.54078459440585 | 479 | 558 | 555.943800961393 | 2.05619903860666 | 480 | 575 | 555.845071406997 | 19.1549285930027 | 481 | 580 | 590.808370864514 | -10.8083708645143 | 482 | 575 | 570.447395060165 | 4.55260493983518 | 483 | 563 | 568.021279151486 | -5.02127915148642 | 484 | 552 | 554.421075223258 | -2.42107522325755 | 485 | 537 | 538.745540130574 | -1.74554013057434 | 486 | 545 | 534.130851577426 | 10.8691484225739 | 487 | 601 | 563.422284509852 | 37.5777154901478 | 488 | 604 | 600.733990846212 | 3.26600915378771 | 489 | 586 | 587.848631744756 | -1.84863174475626 | 490 | 564 | 576.031035346344 | -12.0310353463441 | 491 | 549 | 555.943800961393 | -6.94380096139335 | 492 | 551 | 547.762620053508 | 3.23737994649145 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 16 | 0.999999228325874 | 1.54334825236984e-06 | 7.7167412618492e-07 | 17 | 0.999999984243295 | 3.15134099165279e-08 | 1.57567049582639e-08 | 18 | 0.999999999723986 | 5.5202793254567e-10 | 2.76013966272835e-10 | 19 | 0.999999999993439 | 1.31228679425692e-11 | 6.56143397128462e-12 | 20 | 0.999999999999584 | 8.32905450456068e-13 | 4.16452725228034e-13 | 21 | 0.999999999999949 | 1.02390074572552e-13 | 5.11950372862759e-14 | 22 | 0.99999999999999 | 2.15205127796965e-14 | 1.07602563898482e-14 | 23 | 0.999999999999998 | 3.98658890101369e-15 | 1.99329445050685e-15 | 24 | 1 | 8.0865600024935e-16 | 4.04328000124675e-16 | 25 | 0.999999999999999 | 2.47241206541417e-15 | 1.23620603270709e-15 | 26 | 1 | 3.8768576937188e-18 | 1.9384288468594e-18 | 27 | 1 | 4.99081714229074e-20 | 2.49540857114537e-20 | 28 | 1 | 2.56888285317657e-21 | 1.28444142658829e-21 | 29 | 1 | 2.23203058756671e-22 | 1.11601529378335e-22 | 30 | 1 | 2.89585639121036e-23 | 1.44792819560518e-23 | 31 | 1 | 1.22281409778128e-24 | 6.11407048890638e-25 | 32 | 1 | 2.85518365647099e-25 | 1.42759182823549e-25 | 33 | 1 | 8.59332738845484e-26 | 4.29666369422742e-26 | 34 | 1 | 2.62009392188552e-26 | 1.31004696094276e-26 | 35 | 1 | 7.44770228935534e-27 | 3.72385114467767e-27 | 36 | 1 | 3.41575659064856e-27 | 1.70787829532428e-27 | 37 | 1 | 6.28015369185906e-27 | 3.14007684592953e-27 | 38 | 1 | 5.4183417578627e-28 | 2.70917087893135e-28 | 39 | 1 | 1.25028263531092e-28 | 6.25141317655462e-29 | 40 | 1 | 3.92222463989781e-29 | 1.96111231994891e-29 | 41 | 1 | 2.27835596508245e-29 | 1.13917798254123e-29 | 42 | 1 | 1.20050846129778e-29 | 6.00254230648892e-30 | 43 | 1 | 1.55029521546772e-30 | 7.75147607733859e-31 | 44 | 1 | 4.5985633187547e-31 | 2.29928165937735e-31 | 45 | 1 | 2.5411220605067e-31 | 1.27056103025335e-31 | 46 | 1 | 2.24188800752442e-31 | 1.12094400376221e-31 | 47 | 1 | 3.89217492340735e-31 | 1.94608746170367e-31 | 48 | 1 | 7.95197864919663e-31 | 3.97598932459831e-31 | 49 | 1 | 6.3707268016837e-31 | 3.18536340084185e-31 | 50 | 1 | 6.51898873625203e-31 | 3.25949436812601e-31 | 51 | 1 | 7.7133138951409e-31 | 3.85665694757045e-31 | 52 | 1 | 1.29331107402919e-30 | 6.46655537014594e-31 | 53 | 1 | 1.62810962104852e-30 | 8.1405481052426e-31 | 54 | 1 | 2.79727227562861e-30 | 1.3986361378143e-30 | 55 | 1 | 5.6571416046041e-31 | 2.82857080230205e-31 | 56 | 1 | 2.25661059787353e-31 | 1.12830529893677e-31 | 57 | 1 | 4.16410449098361e-31 | 2.0820522454918e-31 | 58 | 1 | 7.7961215208999e-31 | 3.89806076044995e-31 | 59 | 1 | 1.38413610150521e-30 | 6.92068050752604e-31 | 60 | 1 | 3.0855411866384e-30 | 1.5427705933192e-30 | 61 | 1 | 7.08047621181246e-30 | 3.54023810590623e-30 | 62 | 1 | 1.12314933534391e-29 | 5.61574667671956e-30 | 63 | 1 | 1.55612504728466e-29 | 7.78062523642329e-30 | 64 | 1 | 2.76004601011944e-29 | 1.38002300505972e-29 | 65 | 1 | 6.62989872566343e-29 | 3.31494936283171e-29 | 66 | 1 | 9.90927834520833e-29 | 4.95463917260416e-29 | 67 | 1 | 8.1760897462012e-29 | 4.0880448731006e-29 | 68 | 1 | 1.89458626512792e-28 | 9.47293132563962e-29 | 69 | 1 | 4.42411397813435e-28 | 2.21205698906717e-28 | 70 | 1 | 1.04260797421333e-27 | 5.21303987106667e-28 | 71 | 1 | 2.29380677903136e-27 | 1.14690338951568e-27 | 72 | 1 | 5.57161488043494e-27 | 2.78580744021747e-27 | 73 | 1 | 1.66609249457798e-27 | 8.33046247288992e-28 | 74 | 1 | 3.13399403544756e-27 | 1.56699701772378e-27 | 75 | 1 | 5.77529898080289e-27 | 2.88764949040145e-27 | 76 | 1 | 1.21365270418526e-26 | 6.0682635209263e-27 | 77 | 1 | 2.86443194283674e-26 | 1.43221597141837e-26 | 78 | 1 | 6.47483650452239e-26 | 3.2374182522612e-26 | 79 | 1 | 5.32011413409669e-26 | 2.66005706704834e-26 | 80 | 1 | 9.9650617099632e-26 | 4.9825308549816e-26 | 81 | 1 | 1.90285741457445e-25 | 9.51428707287223e-26 | 82 | 1 | 3.46393648663328e-25 | 1.73196824331664e-25 | 83 | 1 | 5.98845543294734e-25 | 2.99422771647367e-25 | 84 | 1 | 1.27036731509528e-24 | 6.35183657547641e-25 | 85 | 1 | 5.01862500664773e-25 | 2.50931250332386e-25 | 86 | 1 | 6.89413863981044e-25 | 3.44706931990522e-25 | 87 | 1 | 1.26325031586763e-24 | 6.31625157933813e-25 | 88 | 1 | 2.47909915220697e-24 | 1.23954957610349e-24 | 89 | 1 | 5.27338474293358e-24 | 2.63669237146679e-24 | 90 | 1 | 1.10634273609242e-23 | 5.53171368046208e-24 | 91 | 1 | 6.74502997682115e-24 | 3.37251498841057e-24 | 92 | 1 | 1.02212004988323e-23 | 5.11060024941616e-24 | 93 | 1 | 1.8004313554825e-23 | 9.00215677741248e-24 | 94 | 1 | 3.50060932059088e-23 | 1.75030466029544e-23 | 95 | 1 | 5.86095532611776e-23 | 2.93047766305888e-23 | 96 | 1 | 1.04882271199046e-22 | 5.24411355995229e-23 | 97 | 1 | 2.28396329959122e-23 | 1.14198164979561e-23 | 98 | 1 | 3.21227081877707e-23 | 1.60613540938853e-23 | 99 | 1 | 3.76084266774601e-23 | 1.88042133387301e-23 | 100 | 1 | 5.47146305401004e-23 | 2.73573152700502e-23 | 101 | 1 | 9.08265273580355e-23 | 4.54132636790177e-23 | 102 | 1 | 1.47971720390612e-22 | 7.39858601953059e-23 | 103 | 1 | 5.84438497344031e-23 | 2.92219248672016e-23 | 104 | 1 | 7.12141072562354e-23 | 3.56070536281177e-23 | 105 | 1 | 7.5449322043933e-23 | 3.77246610219665e-23 | 106 | 1 | 8.58543228658031e-23 | 4.29271614329016e-23 | 107 | 1 | 1.09691124253384e-22 | 5.48455621266921e-23 | 108 | 1 | 1.48612531622686e-22 | 7.43062658113428e-23 | 109 | 1 | 1.29650642360905e-23 | 6.48253211804524e-24 | 110 | 1 | 1.52766332338788e-23 | 7.63831661693941e-24 | 111 | 1 | 2.36526899377966e-23 | 1.18263449688983e-23 | 112 | 1 | 1.58800165467265e-23 | 7.94000827336323e-24 | 113 | 1 | 2.22783244447173e-23 | 1.11391622223587e-23 | 114 | 1 | 2.97661969865998e-23 | 1.48830984932999e-23 | 115 | 1 | 1.04114087399785e-23 | 5.20570436998926e-24 | 116 | 1 | 1.38957178360134e-23 | 6.94785891800671e-24 | 117 | 1 | 9.88473981939183e-24 | 4.94236990969591e-24 | 118 | 1 | 1.06016789024774e-23 | 5.30083945123872e-24 | 119 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137 | 1 | 2.0058867506112e-23 | 1.0029433753056e-23 | 138 | 1 | 3.68495421330991e-23 | 1.84247710665495e-23 | 139 | 1 | 1.03790340846863e-23 | 5.18951704234316e-24 | 140 | 1 | 1.76385058642543e-23 | 8.81925293212716e-24 | 141 | 1 | 2.98967968626455e-23 | 1.49483984313227e-23 | 142 | 1 | 5.75716475584911e-23 | 2.87858237792455e-23 | 143 | 1 | 1.07245805386984e-22 | 5.36229026934918e-23 | 144 | 1 | 2.07651527243758e-22 | 1.03825763621879e-22 | 145 | 1 | 1.2813807775411e-22 | 6.40690388770548e-23 | 146 | 1 | 2.05970564318533e-22 | 1.02985282159267e-22 | 147 | 1 | 3.10817591240943e-22 | 1.55408795620472e-22 | 148 | 1 | 5.6738582597757e-22 | 2.83692912988785e-22 | 149 | 1 | 1.07640126413564e-21 | 5.38200632067818e-22 | 150 | 1 | 2.00827577397181e-21 | 1.00413788698591e-21 | 151 | 1 | 4.78161879176299e-22 | 2.39080939588149e-22 | 152 | 1 | 7.50103043528928e-22 | 3.75051521764464e-22 | 153 | 1 | 1.34554275398809e-21 | 6.72771376994043e-22 | 154 | 1 | 2.56334486722428e-21 | 1.28167243361214e-21 | 155 | 1 | 4.76857426624206e-21 | 2.38428713312103e-21 | 156 | 1 | 6.79499285887949e-21 | 3.39749642943974e-21 | 157 | 1 | 8.56614071660792e-21 | 4.28307035830396e-21 | 158 | 1 | 1.31054925512368e-20 | 6.55274627561838e-21 | 159 | 1 | 1.88332265966006e-20 | 9.4166132983003e-21 | 160 | 1 | 2.90391118198121e-20 | 1.45195559099061e-20 | 161 | 1 | 4.54747188569283e-20 | 2.27373594284641e-20 | 162 | 1 | 6.42542777270806e-20 | 3.21271388635403e-20 | 163 | 1 | 2.87702038138506e-21 | 1.43851019069253e-21 | 164 | 1 | 2.37863141942139e-21 | 1.1893157097107e-21 | 165 | 1 | 2.4576845034447e-21 | 1.22884225172235e-21 | 166 | 1 | 4.34122294625837e-21 | 2.17061147312919e-21 | 167 | 1 | 6.0681637394802e-21 | 3.0340818697401e-21 | 168 | 1 | 8.53515475829666e-21 | 4.26757737914833e-21 | 169 | 1 | 1.06181278351977e-20 | 5.30906391759884e-21 | 170 | 1 | 1.10962346800006e-20 | 5.54811734000032e-21 | 171 | 1 | 1.29913109708451e-20 | 6.49565548542254e-21 | 172 | 1 | 1.32254883280897e-20 | 6.61274416404486e-21 | 173 | 1 | 2.13226775970662e-20 | 1.06613387985331e-20 | 174 | 1 | 2.91652849820838e-20 | 1.45826424910419e-20 | 175 | 1 | 1.06480545626881e-20 | 5.32402728134407e-21 | 176 | 1 | 1.93514511479388e-20 | 9.6757255739694e-21 | 177 | 1 | 3.43629365593052e-20 | 1.71814682796526e-20 | 178 | 1 | 5.75270361259711e-20 | 2.87635180629856e-20 | 179 | 1 | 9.64562404813485e-20 | 4.82281202406743e-20 | 180 | 1 | 1.74781759499929e-19 | 8.73908797499646e-20 | 181 | 1 | 5.29918171980332e-20 | 2.64959085990166e-20 | 182 | 1 | 6.04804179926396e-20 | 3.02402089963198e-20 | 183 | 1 | 1.27440873521444e-20 | 6.37204367607222e-21 | 184 | 1 | 1.22736080068573e-20 | 6.13680400342867e-21 | 185 | 1 | 1.33123947156977e-20 | 6.65619735784883e-21 | 186 | 1 | 1.68191920649018e-20 | 8.40959603245091e-21 | 187 | 1 | 9.00065883387926e-21 | 4.50032941693963e-21 | 188 | 1 | 1.68219461152545e-20 | 8.41097305762725e-21 | 189 | 1 | 3.00886193604114e-20 | 1.50443096802057e-20 | 190 | 1 | 4.5744810761151e-20 | 2.28724053805755e-20 | 191 | 1 | 5.65082877275052e-20 | 2.82541438637526e-20 | 192 | 1 | 9.7374472745568e-20 | 4.8687236372784e-20 | 193 | 1 | 1.13507570393527e-19 | 5.67537851967634e-20 | 194 | 1 | 1.46527618542913e-19 | 7.32638092714564e-20 | 195 | 1 | 2.06143739284163e-19 | 1.03071869642082e-19 | 196 | 1 | 2.63157340248803e-19 | 1.31578670124401e-19 | 197 | 1 | 4.52298322382729e-19 | 2.26149161191364e-19 | 198 | 1 | 6.99058419119713e-19 | 3.49529209559856e-19 | 199 | 1 | 3.89417424069814e-19 | 1.94708712034907e-19 | 200 | 1 | 6.89600948503515e-19 | 3.44800474251758e-19 | 201 | 1 | 1.22971560420616e-18 | 6.14857802103081e-19 | 202 | 1 | 2.05341122779143e-18 | 1.02670561389572e-18 | 203 | 1 | 3.39796973087237e-18 | 1.69898486543619e-18 | 204 | 1 | 6.04077661083929e-18 | 3.02038830541965e-18 | 205 | 1 | 1.05274640695794e-18 | 5.26373203478972e-19 | 206 | 1 | 1.39103493267572e-18 | 6.95517466337858e-19 | 207 | 1 | 3.55523482095652e-19 | 1.77761741047826e-19 | 208 | 1 | 4.15644832174142e-19 | 2.07822416087071e-19 | 209 | 1 | 4.17428043766094e-19 | 2.08714021883047e-19 | 210 | 1 | 5.8350858817744e-19 | 2.9175429408872e-19 | 211 | 1 | 6.10308423054471e-19 | 3.05154211527236e-19 | 212 | 1 | 1.1043787408368e-18 | 5.52189370418402e-19 | 213 | 1 | 1.96467427823155e-18 | 9.82337139115777e-19 | 214 | 1 | 2.88991612520858e-18 | 1.44495806260429e-18 | 215 | 1 | 3.11796256695521e-18 | 1.55898128347761e-18 | 216 | 1 | 5.22278259965678e-18 | 2.61139129982839e-18 | 217 | 1 | 7.70687133511227e-18 | 3.85343566755614e-18 | 218 | 1 | 1.03111738943618e-17 | 5.1555869471809e-18 | 219 | 1 | 1.27243751299718e-17 | 6.36218756498592e-18 | 220 | 1 | 1.74678501897436e-17 | 8.73392509487178e-18 | 221 | 1 | 2.91504710313798e-17 | 1.45752355156899e-17 | 222 | 1 | 4.64077078918614e-17 | 2.32038539459307e-17 | 223 | 1 | 2.80969008264747e-17 | 1.40484504132373e-17 | 224 | 1 | 4.86295162086902e-17 | 2.43147581043451e-17 | 225 | 1 | 7.94361302195974e-17 | 3.97180651097987e-17 | 226 | 1 | 1.29526471379356e-16 | 6.4763235689678e-17 | 227 | 1 | 2.19116682562434e-16 | 1.09558341281217e-16 | 228 | 1 | 3.80224734903241e-16 | 1.9011236745162e-16 | 229 | 1 | 7.04472189131423e-17 | 3.52236094565711e-17 | 230 | 1 | 1.03341951184814e-16 | 5.16709755924068e-17 | 231 | 1 | 4.63474423628329e-17 | 2.31737211814164e-17 | 232 | 1 | 6.24680346099287e-17 | 3.12340173049643e-17 | 233 | 1 | 1.01926810886696e-16 | 5.0963405443348e-17 | 234 | 1 | 1.57326161065404e-16 | 7.86630805327021e-17 | 235 | 1 | 5.78929954698538e-17 | 2.89464977349269e-17 | 236 | 1 | 1.01129550456244e-16 | 5.05647752281219e-17 | 237 | 1 | 1.71887511419641e-16 | 8.59437557098203e-17 | 238 | 1 | 2.67335028566434e-16 | 1.33667514283217e-16 | 239 | 1 | 4.04440872890473e-16 | 2.02220436445237e-16 | 240 | 1 | 6.92014079949687e-16 | 3.46007039974844e-16 | 241 | 1 | 6.71175978764181e-16 | 3.35587989382091e-16 | 242 | 1 | 1.04037813407684e-15 | 5.20189067038418e-16 | 243 | 1 | 1.62547171220875e-15 | 8.12735856104376e-16 | 244 | 0.999999999999999 | 2.49162216122624e-15 | 1.24581108061312e-15 | 245 | 0.999999999999998 | 4.20545412672889e-15 | 2.10272706336444e-15 | 246 | 0.999999999999997 | 6.89579393559087e-15 | 3.44789696779544e-15 | 247 | 0.999999999999998 | 4.47155248080611e-15 | 2.23577624040305e-15 | 248 | 0.999999999999996 | 7.35056750824165e-15 | 3.67528375412083e-15 | 249 | 0.999999999999994 | 1.21845726233963e-14 | 6.09228631169815e-15 | 250 | 0.99999999999999 | 1.95212329799403e-14 | 9.76061648997014e-15 | 251 | 0.999999999999986 | 2.8519686352108e-14 | 1.4259843176054e-14 | 252 | 0.999999999999976 | 4.78601976836713e-14 | 2.39300988418356e-14 | 253 | 0.99999999999999 | 2.10364701395281e-14 | 1.0518235069764e-14 | 254 | 0.999999999999984 | 3.17594516225675e-14 | 1.58797258112837e-14 | 255 | 0.99999999999999 | 2.06734182758604e-14 | 1.03367091379302e-14 | 256 | 0.999999999999985 | 2.93106166310154e-14 | 1.46553083155077e-14 | 257 | 0.999999999999978 | 4.3756202908359e-14 | 2.18781014541795e-14 | 258 | 0.999999999999966 | 6.78931274106552e-14 | 3.39465637053276e-14 | 259 | 0.99999999999999 | 1.92499060006204e-14 | 9.62495300031018e-15 | 260 | 0.999999999999984 | 3.22088879870971e-14 | 1.61044439935486e-14 | 261 | 0.999999999999973 | 5.37166862716285e-14 | 2.68583431358142e-14 | 262 | 0.99999999999996 | 8.22000919826834e-14 | 4.11000459913417e-14 | 263 | 0.999999999999942 | 1.15829004110815e-13 | 5.79145020554077e-14 | 264 | 0.999999999999904 | 1.92301125257269e-13 | 9.61505626286343e-14 | 265 | 0.999999999999932 | 1.35683038505448e-13 | 6.78415192527242e-14 | 266 | 0.999999999999893 | 2.13883088153509e-13 | 1.06941544076755e-13 | 267 | 0.999999999999836 | 3.27865901215077e-13 | 1.63932950607539e-13 | 268 | 0.999999999999745 | 5.10922629154579e-13 | 2.55461314577289e-13 | 269 | 0.999999999999582 | 8.36204242447572e-13 | 4.18102121223786e-13 | 270 | 0.999999999999323 | 1.35468665578675e-12 | 6.77343327893376e-13 | 271 | 0.999999999999733 | 5.33064454740864e-13 | 2.66532227370432e-13 | 272 | 0.999999999999584 | 8.31035218979147e-13 | 4.15517609489573e-13 | 273 | 0.99999999999934 | 1.31794751781412e-12 | 6.58973758907061e-13 | 274 | 0.999999999998966 | 2.06723225041157e-12 | 1.03361612520579e-12 | 275 | 0.999999999998347 | 3.30697393855227e-12 | 1.65348696927614e-12 | 276 | 0.999999999997346 | 5.30891237811529e-12 | 2.65445618905765e-12 | 277 | 0.9999999999988 | 2.39936920445444e-12 | 1.19968460222722e-12 | 278 | 0.99999999999812 | 3.75932935372942e-12 | 1.87966467686471e-12 | 279 | 0.999999999999416 | 1.16864634451749e-12 | 5.84323172258745e-13 | 280 | 0.99999999999913 | 1.74007143056493e-12 | 8.70035715282467e-13 | 281 | 0.999999999998585 | 2.82934726229867e-12 | 1.41467363114933e-12 | 282 | 0.999999999997754 | 4.49200399583435e-12 | 2.24600199791718e-12 | 283 | 0.99999999999984 | 3.18716675760811e-13 | 1.59358337880405e-13 | 284 | 0.999999999999744 | 5.12621328987261e-13 | 2.56310664493631e-13 | 285 | 0.999999999999604 | 7.91569162476181e-13 | 3.95784581238091e-13 | 286 | 0.999999999999381 | 1.23721832390916e-12 | 6.18609161954579e-13 | 287 | 0.999999999999108 | 1.78304014588912e-12 | 8.91520072944558e-13 | 288 | 0.999999999998535 | 2.92933099126688e-12 | 1.46466549563344e-12 | 289 | 0.999999999998653 | 2.69337581816805e-12 | 1.34668790908403e-12 | 290 | 0.99999999999782 | 4.35970914076145e-12 | 2.17985457038073e-12 | 291 | 0.999999999997102 | 5.79699740294094e-12 | 2.89849870147047e-12 | 292 | 0.999999999995344 | 9.31119729702223e-12 | 4.65559864851111e-12 | 293 | 0.999999999992553 | 1.48947174087e-11 | 7.44735870435e-12 | 294 | 0.999999999988005 | 2.39902102853654e-11 | 1.19951051426827e-11 | 295 | 0.999999999996794 | 6.41167196042627e-12 | 3.20583598021314e-12 | 296 | 0.999999999995265 | 9.4704931089007e-12 | 4.73524655445035e-12 | 297 | 0.999999999992501 | 1.499775416178e-11 | 7.49887708088998e-12 | 298 | 0.999999999988324 | 2.33526765288105e-11 | 1.16763382644053e-11 | 299 | 0.999999999981412 | 3.71751135286883e-11 | 1.85875567643442e-11 | 300 | 0.99999999997101 | 5.79800024985106e-11 | 2.89900012492553e-11 | 301 | 0.999999999986197 | 2.76056863286061e-11 | 1.38028431643031e-11 | 302 | 0.999999999977921 | 4.41576402834891e-11 | 2.20788201417446e-11 | 303 | 0.999999999990422 | 1.91559915864997e-11 | 9.57799579324987e-12 | 304 | 0.999999999985118 | 2.97642831639672e-11 | 1.48821415819836e-11 | 305 | 0.999999999978694 | 4.26119078888425e-11 | 2.13059539444212e-11 | 306 | 0.999999999965778 | 6.84429598142642e-11 | 3.42214799071321e-11 | 307 | 0.999999999996168 | 7.66461517722702e-12 | 3.83230758861351e-12 | 308 | 0.99999999999409 | 1.18198364462829e-11 | 5.90991822314146e-12 | 309 | 0.99999999999151 | 1.69810895249402e-11 | 8.4905447624701e-12 | 310 | 0.999999999986855 | 2.629016874852e-11 | 1.314508437426e-11 | 311 | 0.99999999997928 | 4.1441387109555e-11 | 2.07206935547775e-11 | 312 | 0.999999999966927 | 6.61454893784584e-11 | 3.30727446892292e-11 | 313 | 0.999999999972063 | 5.5873418539628e-11 | 2.7936709269814e-11 | 314 | 0.999999999954668 | 9.06648009999906e-11 | 4.53324004999953e-11 | 315 | 0.999999999945148 | 1.09703294825544e-10 | 5.48516474127721e-11 | 316 | 0.99999999991169 | 1.76620978450004e-10 | 8.83104892250022e-11 | 317 | 0.999999999886816 | 2.26368973000347e-10 | 1.13184486500174e-10 | 318 | 0.999999999822706 | 3.54587379990995e-10 | 1.77293689995497e-10 | 319 | 0.999999999928942 | 1.42115938653483e-10 | 7.10579693267415e-11 | 320 | 0.999999999901846 | 1.96308356872076e-10 | 9.81541784360378e-11 | 321 | 0.999999999860127 | 2.79746322419176e-10 | 1.39873161209588e-10 | 322 | 0.999999999784033 | 4.31933463584594e-10 | 2.15966731792297e-10 | 323 | 0.999999999663246 | 6.73507850895686e-10 | 3.36753925447843e-10 | 324 | 0.999999999501435 | 9.97129233106503e-10 | 4.98564616553251e-10 | 325 | 0.999999999742378 | 5.15243993979389e-10 | 2.57621996989695e-10 | 326 | 0.999999999587324 | 8.25352231731158e-10 | 4.12676115865579e-10 | 327 | 0.999999999881718 | 2.3656383953345e-10 | 1.18281919766725e-10 | 328 | 0.999999999812223 | 3.75554801580602e-10 | 1.87777400790301e-10 | 329 | 0.999999999756907 | 4.86185025376237e-10 | 2.43092512688118e-10 | 330 | 0.999999999611856 | 7.76287722695217e-10 | 3.88143861347609e-10 | 331 | 0.999999999959613 | 8.07735777878459e-11 | 4.03867888939229e-11 | 332 | 0.999999999940396 | 1.19207190762088e-10 | 5.9603595381044e-11 | 333 | 0.99999999992564 | 1.48720473684524e-10 | 7.43602368422618e-11 | 334 | 0.999999999884478 | 2.31044103787297e-10 | 1.15522051893649e-10 | 335 | 0.999999999813979 | 3.72042684973953e-10 | 1.86021342486976e-10 | 336 | 0.99999999971203 | 5.75938992925094e-10 | 2.87969496462547e-10 | 337 | 0.999999999677875 | 6.44249429424753e-10 | 3.22124714712377e-10 | 338 | 0.999999999478435 | 1.04313049353217e-09 | 5.21565246766086e-10 | 339 | 0.999999999258994 | 1.48201166500988e-09 | 7.41005832504938e-10 | 340 | 0.999999998809397 | 2.38120494804532e-09 | 1.19060247402266e-09 | 341 | 0.999999998260896 | 3.47820708295198e-09 | 1.73910354147599e-09 | 342 | 0.999999997359832 | 5.28033555967437e-09 | 2.64016777983719e-09 | 343 | 0.999999999436872 | 1.12625667258582e-09 | 5.63128336292909e-10 | 344 | 0.999999999286479 | 1.42704220411549e-09 | 7.13521102057745e-10 | 345 | 0.99999999886616 | 2.26768131962061e-09 | 1.13384065981031e-09 | 346 | 0.999999998220033 | 3.559933577829e-09 | 1.7799667889145e-09 | 347 | 0.999999997296626 | 5.40674888022023e-09 | 2.70337444011012e-09 | 348 | 0.999999996198175 | 7.60365003537802e-09 | 3.80182501768901e-09 | 349 | 0.999999998736253 | 2.52749370205364e-09 | 1.26374685102682e-09 | 350 | 0.999999997954632 | 4.09073533884181e-09 | 2.0453676694209e-09 | 351 | 0.999999998987323 | 2.02535370788354e-09 | 1.01267685394177e-09 | 352 | 0.999999998374749 | 3.25050255198588e-09 | 1.62525127599294e-09 | 353 | 0.999999997826808 | 4.34638297604191e-09 | 2.17319148802096e-09 | 354 | 0.999999996528634 | 6.94273169547079e-09 | 3.4713658477354e-09 | 355 | 0.999999999625035 | 7.4993052982508e-10 | 3.7496526491254e-10 | 356 | 0.999999999449012 | 1.10197565718977e-09 | 5.50987828594884e-10 | 357 | 0.999999999692086 | 6.15828847225658e-10 | 3.07914423612829e-10 | 358 | 0.999999999515559 | 9.68882972580128e-10 | 4.84441486290064e-10 | 359 | 0.999999999208771 | 1.58245717922545e-09 | 7.91228589612726e-10 | 360 | 0.99999999877484 | 2.45032143221597e-09 | 1.22516071610798e-09 | 361 | 0.999999998668496 | 2.66300761961489e-09 | 1.33150380980744e-09 | 362 | 0.9999999978099 | 4.38019873146433e-09 | 2.19009936573216e-09 | 363 | 0.999999996419793 | 7.16041416453833e-09 | 3.58020708226917e-09 | 364 | 0.999999994152438 | 1.16951238347654e-08 | 5.8475619173827e-09 | 365 | 0.999999990499986 | 1.90000283250442e-08 | 9.5000141625221e-09 | 366 | 0.9999999854803 | 2.90394006597951e-08 | 1.45197003298976e-08 | 367 | 0.999999999460266 | 1.07946726889123e-09 | 5.39733634445616e-10 | 368 | 0.999999999380079 | 1.23984254459334e-09 | 6.1992127229667e-10 | 369 | 0.999999998980419 | 2.03916215914999e-09 | 1.01958107957499e-09 | 370 | 0.999999998310627 | 3.37874595401668e-09 | 1.68937297700834e-09 | 371 | 0.999999997179485 | 5.6410310046772e-09 | 2.8205155023386e-09 | 372 | 0.999999996108954 | 7.7820916278386e-09 | 3.8910458139193e-09 | 373 | 0.999999999819972 | 3.60055685341145e-10 | 1.80027842670572e-10 | 374 | 0.99999999968694 | 6.26121640597069e-10 | 3.13060820298534e-10 | 375 | 0.999999999584295 | 8.3141005083523e-10 | 4.15705025417615e-10 | 376 | 0.99999999930293 | 1.39413905746352e-09 | 6.97069528731758e-10 | 377 | 0.99999999890968 | 2.18063809703498e-09 | 1.09031904851749e-09 | 378 | 0.999999998171207 | 3.65758587523259e-09 | 1.8287929376163e-09 | 379 | 0.999999999927366 | 1.45268988075382e-10 | 7.2634494037691e-11 | 380 | 0.999999999896062 | 2.0787678110283e-10 | 1.03938390551415e-10 | 381 | 0.999999999816127 | 3.67745507547169e-10 | 1.83872753773585e-10 | 382 | 0.999999999722147 | 5.5570496815138e-10 | 2.7785248407569e-10 | 383 | 0.99999999958983 | 8.20340397667132e-10 | 4.10170198833566e-10 | 384 | 0.999999999318468 | 1.36306496929269e-09 | 6.81532484646345e-10 | 385 | 0.999999998943415 | 2.11317076684973e-09 | 1.05658538342487e-09 | 386 | 0.999999998154963 | 3.69007417201517e-09 | 1.84503708600759e-09 | 387 | 0.999999996807267 | 6.3854653856483e-09 | 3.19273269282415e-09 | 388 | 0.999999994630415 | 1.07391692071209e-08 | 5.36958460356046e-09 | 389 | 0.999999990801306 | 1.83973878004123e-08 | 9.19869390020617e-09 | 390 | 0.999999984910484 | 3.01790314771151e-08 | 1.50895157385575e-08 | 391 | 0.999999999708234 | 5.83531405257724e-10 | 2.91765702628862e-10 | 392 | 0.999999999643058 | 7.13884063873618e-10 | 3.56942031936809e-10 | 393 | 0.999999999357409 | 1.28518291110695e-09 | 6.42591455553477e-10 | 394 | 0.999999999004056 | 1.99188880598091e-09 | 9.95944402990456e-10 | 395 | 0.999999998751908 | 2.49618457209051e-09 | 1.24809228604525e-09 | 396 | 0.999999997983237 | 4.0335266203677e-09 | 2.01676331018385e-09 | 397 | 0.999999999999202 | 1.59525040825275e-12 | 7.97625204126373e-13 | 398 | 0.999999999998468 | 3.06415243723482e-12 | 1.53207621861741e-12 | 399 | 0.999999999999219 | 1.56235982863257e-12 | 7.81179914316286e-13 | 400 | 0.999999999998721 | 2.55744774726341e-12 | 1.27872387363171e-12 | 401 | 0.99999999999829 | 3.41933539802528e-12 | 1.70966769901264e-12 | 402 | 0.999999999996505 | 6.98922707174125e-12 | 3.49461353587062e-12 | 403 | 1 | 1.07433463012472e-19 | 5.37167315062362e-20 | 404 | 1 | 1.68476953178004e-19 | 8.4238476589002e-20 | 405 | 1 | 3.10192239316369e-19 | 1.55096119658185e-19 | 406 | 1 | 1.56151515963932e-19 | 7.80757579819662e-20 | 407 | 1 | 1.23602839011381e-20 | 6.18014195056907e-21 | 408 | 1 | 3.14564829539141e-20 | 1.57282414769571e-20 | 409 | 1 | 7.83025874387387e-20 | 3.91512937193693e-20 | 410 | 1 | 2.09522009712112e-19 | 1.04761004856056e-19 | 411 | 1 | 5.61538392721575e-19 | 2.80769196360787e-19 | 412 | 1 | 1.36454567039122e-18 | 6.82272835195611e-19 | 413 | 1 | 3.28789417012414e-18 | 1.64394708506207e-18 | 414 | 1 | 8.70830646724456e-18 | 4.35415323362228e-18 | 415 | 1 | 1.92083315118523e-17 | 9.60416575592616e-18 | 416 | 1 | 2.51145531017491e-17 | 1.25572765508745e-17 | 417 | 1 | 1.05540815851057e-17 | 5.27704079255286e-18 | 418 | 1 | 2.30111643282003e-18 | 1.15055821641002e-18 | 419 | 1 | 6.75480307189792e-18 | 3.37740153594896e-18 | 420 | 1 | 1.90435096510533e-17 | 9.52175482552664e-18 | 421 | 1 | 3.68475594838978e-17 | 1.84237797419489e-17 | 422 | 1 | 9.80896127058167e-17 | 4.90448063529083e-17 | 423 | 1 | 2.15998896506945e-16 | 1.07999448253472e-16 | 424 | 1 | 5.33798685328204e-16 | 2.66899342664102e-16 | 425 | 1 | 9.4856581437798e-16 | 4.7428290718899e-16 | 426 | 0.999999999999999 | 2.76416729314991e-15 | 1.38208364657496e-15 | 427 | 0.999999999999997 | 6.32899403739425e-15 | 3.16449701869712e-15 | 428 | 0.999999999999991 | 1.73869838077484e-14 | 8.6934919038742e-15 | 429 | 0.999999999999997 | 6.43425094857998e-15 | 3.21712547428999e-15 | 430 | 0.999999999999993 | 1.4405131428984e-14 | 7.202565714492e-15 | 431 | 0.999999999999979 | 4.18424651261397e-14 | 2.09212325630698e-14 | 432 | 0.99999999999994 | 1.20354747874009e-13 | 6.01773739370043e-14 | 433 | 0.999999999999892 | 2.15647720588927e-13 | 1.07823860294463e-13 | 434 | 0.999999999999722 | 5.56086712080068e-13 | 2.78043356040034e-13 | 435 | 0.999999999999226 | 1.54908556775564e-12 | 7.7454278387782e-13 | 436 | 0.99999999999781 | 4.38215360572498e-12 | 2.19107680286249e-12 | 437 | 0.99999999999925 | 1.49868270928865e-12 | 7.49341354644325e-13 | 438 | 0.999999999997824 | 4.35155178996624e-12 | 2.17577589498312e-12 | 439 | 0.999999999994863 | 1.02745348695386e-11 | 5.13726743476932e-12 | 440 | 0.9999999999855 | 2.90016744660934e-11 | 1.45008372330467e-11 | 441 | 0.999999999992198 | 1.56030787245207e-11 | 7.80153936226033e-12 | 442 | 0.999999999992361 | 1.5277289769432e-11 | 7.63864488471602e-12 | 443 | 0.999999999988637 | 2.27256402260007e-11 | 1.13628201130004e-11 | 444 | 0.99999999999715 | 5.70159852977026e-12 | 2.85079926488513e-12 | 445 | 0.999999999991325 | 1.73497207102219e-11 | 8.67486035511095e-12 | 446 | 0.999999999985159 | 2.96828419863306e-11 | 1.48414209931653e-11 | 447 | 0.999999999975846 | 4.83079768894139e-11 | 2.4153988444707e-11 | 448 | 0.999999999923869 | 1.52262975921085e-10 | 7.61314879605424e-11 | 449 | 0.99999999976223 | 4.75539644884825e-10 | 2.37769822442413e-10 | 450 | 0.999999999991098 | 1.78045773317852e-11 | 8.90228866589262e-12 | 451 | 0.999999999974101 | 5.17970143641956e-11 | 2.58985071820978e-11 | 452 | 0.999999999918237 | 1.63526252392892e-10 | 8.17631261964462e-11 | 453 | 0.99999999981668 | 3.66640807298545e-10 | 1.83320403649273e-10 | 454 | 0.999999999374867 | 1.25026578316628e-09 | 6.25132891583139e-10 | 455 | 0.999999999059736 | 1.88052830192609e-09 | 9.40264150963045e-10 | 456 | 0.9999999981815 | 3.63700105036018e-09 | 1.81850052518009e-09 | 457 | 0.999999995654773 | 8.69045310188667e-09 | 4.34522655094333e-09 | 458 | 0.999999994370137 | 1.12597254895034e-08 | 5.62986274475169e-09 | 459 | 0.999999996187338 | 7.62532382133074e-09 | 3.81266191066537e-09 | 460 | 0.999999985289988 | 2.94200232732704e-08 | 1.47100116366352e-08 | 461 | 0.999999983284953 | 3.34300936093396e-08 | 1.67150468046698e-08 | 462 | 0.999999953614074 | 9.27718512941136e-08 | 4.63859256470568e-08 | 463 | 0.99999993395736 | 1.32085280766922e-07 | 6.60426403834611e-08 | 464 | 0.999999873365534 | 2.53268932491394e-07 | 1.26634466245697e-07 | 465 | 0.999999767680416 | 4.6463916796744e-07 | 2.3231958398372e-07 | 466 | 0.999999077632614 | 1.84473477196468e-06 | 9.22367385982342e-07 | 467 | 0.9999965584191 | 6.88316180180336e-06 | 3.44158090090168e-06 | 468 | 0.99998980193741 | 2.03961251788278e-05 | 1.01980625894139e-05 | 469 | 0.999971011012441 | 5.79779751178119e-05 | 2.89889875589059e-05 | 470 | 0.99990041635894 | 0.000199167282121184 | 9.9583641060592e-05 | 471 | 0.999653130773506 | 0.000693738452988247 | 0.000346869226494124 | 472 | 0.999176798660735 | 0.00164640267853069 | 0.000823201339265347 | 473 | 0.997006591657635 | 0.00598681668473046 | 0.00299340834236523 | 474 | 0.990788062159216 | 0.0184238756815672 | 0.0092119378407836 | 475 | 0.973017045753653 | 0.0539659084926941 | 0.026982954246347 | 476 | 0.947850887592874 | 0.104298224814252 | 0.0521491124071262 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 458 | 0.99349240780911 | NOK | 5% type I error level | 459 | 0.995661605206074 | NOK | 10% type I error level | 460 | 0.997830802603037 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/107olx1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/107olx1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/1ck5i1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/1ck5i1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/28jgw1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/28jgw1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/3bgjv1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/3bgjv1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/475c31296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/475c31296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/5l22c1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/5l22c1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/60hyi1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/60hyi1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/70h4j1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/70h4j1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/8ppyt1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/8ppyt1296734019.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/9098c1296734019.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296734880tbrq67v7p805o9b/9098c1296734019.ps (open in new window) |
| | Parameters (Session): | par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ; | | Parameters (R input): | par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ; | | R code (references can be found in the software module): | library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
| |
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Software written by Ed van Stee & Patrick Wessa
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