| 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 09:54:47 +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/t1296727039r7sh0980vowsa9x.htm/, Retrieved Thu, 03 Feb 2011 10:57:34 +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/t1296727039r7sh0980vowsa9x.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 0 0 0
336 349 0 0 0
331 336 349 0 0
327 331 336 349 0
323 327 331 336 349
322 323 327 331 336
385 322 323 327 331
405 385 322 323 327
412 405 385 322 323
411 412 405 385 322
410 411 412 405 385
415 410 411 412 405
414 415 410 411 412
411 414 415 410 411
408 411 414 415 410
410 408 411 414 415
411 410 408 411 414
416 411 410 408 411
479 416 411 410 408
498 479 416 411 410
502 498 479 416 411
498 502 498 479 416
499 498 502 498 479
506 499 498 502 498
510 506 499 498 502
509 510 506 499 498
502 509 510 506 499
495 502 509 510 506
490 495 502 509 510
490 490 495 502 509
553 490 490 495 502
570 553 490 490 495
573 570 553 490 490
572 573 570 553 490
575 572 573 570 553
580 575 572 573 570
580 580 575 572 573
574 580 580 575 572
563 574 580 580 575
556 563 574 580 580
546 556 563 574 580
545 546 556 563 574
605 545 546 556 563
628 605 545 546 556
631 628 605 545 546
626 631 628 605 545
614 626 631 628 605
606 614 626 631 628
602 606 614 626 631
589 602 606 614 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] = + 60.0822007106404 + 0.964313558320219y1[t] -0.0623268019206753y2[t] -0.0941033647446252y3[t] + 0.079028624895528y4[t] + 0.00087518965592128t + 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) | 60.0822007106404 | 7.393689 | 8.1261 | 0 | 0 | y1 | 0.964313558320219 | 0.044879 | 21.4868 | 0 | 0 | y2 | -0.0623268019206753 | 0.062551 | -0.9964 | 0.319543 | 0.159771 | y3 | -0.0941033647446252 | 0.062545 | -1.5046 | 0.133086 | 0.066543 | y4 | 0.079028624895528 | 0.042635 | 1.8536 | 0.0644 | 0.0322 | t | 0.00087518965592128 | 0.007044 | 0.1242 | 0.90117 | 0.450585 |
Multiple Linear Regression - Regression Statistics | Multiple R | 0.944488662377402 | R-squared | 0.892058833359454 | Adjusted R-squared | 0.890948327529819 | F-TEST (value) | 803.290545221592 | F-TEST (DF numerator) | 5 | F-TEST (DF denominator) | 486 | p-value | 0 | Multiple Linear Regression - Residual Statistics | Residual Standard Deviation | 21.3844043795233 | Sum Squared Residuals | 222244.276824149 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error | 1 | 349 | 60.0830759002974 | 288.916924099703 | 2 | 336 | 396.629382943712 | -60.6293829437116 | 3 | 331 | 362.342128004886 | -31.3421280048863 | 4 | 327 | 325.489609532036 | 1.51039046796442 | 5 | 323 | 350.749198328233 | -27.7491983282335 | 6 | 322 | 346.585271192373 | -24.5852711923725 | 7 | 385 | 345.852410365892 | 39.1475896341083 | 8 | 405 | 406.727665491038 | -1.72766549103837 | 9 | 412 | 421.866212191259 | -9.86621219125863 | 10 | 411 | 421.363205646936 | -10.3632056469356 | 11 | 410 | 423.060215738352 | -13.0602157383523 | 12 | 415 | 423.080953116307 | -8.08095311630692 | 13 | 414 | 428.613026638498 | -14.6130266384979 | 14 | 411 | 427.353029000079 | -16.3530290000793 | 15 | 408 | 423.973744868077 | -15.9737448680766 | 16 | 410 | 421.757906277756 | -11.7579062777562 | 17 | 411 | 424.077670459153 | -13.0776704591529 | 18 | 416 | 424.963429822835 | -8.963429822835 | 19 | 479 | 429.298253397995 | 49.7017466020045 | 20 | 498 | 489.803202637268 | 8.19679736273186 | 21 | 502 | 503.807958715178 | -1.80795871517805 | 22 | 498 | 500.948510047188 | -2.94851004718826 | 23 | 499 | 500.033663234151 | -1.03366323415099 | 24 | 506 | 502.373289603846 | 3.62671039615364 | 25 | 510 | 509.754560858384 | 0.245439141616266 | 26 | 509 | 512.766184803549 | -3.76618480354906 | 27 | 502 | 510.973744298885 | -8.97374429888521 | 28 | 495 | 504.46353829751 | -9.46353829751048 | 29 | 490 | 498.560724056696 | -8.56072405669636 | 30 | 490 | 494.756013996513 | -4.75601399651277 | 31 | 553 | 495.174046374716 | 57.8259536252843 | 32 | 570 | 555.843992188 | 14.1560078120002 | 33 | 573 | 567.916466223619 | 5.08353377638082 | 34 | 572 | 563.822214476673 | 8.17778552332712 | 35 | 575 | 566.050841870006 | 8.9491581299938 | 36 | 580 | 570.068161065534 | 9.93183893446646 | 37 | 580 | 575.03481288046 | 4.96518711954027 | 38 | 574 | 574.362715341383 | -0.362715341382872 | 39 | 563 | 568.344278232081 | -5.34427823208095 | 40 | 556 | 558.506808216216 | -2.50680821621619 | 41 | 546 | 553.007703507226 | -7.00770350722577 | 42 | 545 | 544.362695989942 | 0.637304010058051 | 43 | 605 | 543.811934319846 | 61.188065680154 | 44 | 628 | 602.121783083813 | 25.8782169161869 | 45 | 631 | 619.866079115383 | 11.1339208846171 | 46 | 626 | 615.601148026251 | 10.3988519737491 | 47 | 614 | 613.170815123149 | 0.82918487685101 | 48 | 606 | 603.446909900929 | 2.55309009907105 | 49 | 602 | 597.188800945481 | 4.81119905451905 | 50 | 589 | 594.565133569679 | -5.56513356967927 | 51 | 574 | 582.083723128066 | -8.08372312806573 | 52 | 558 | 568.174327827701 | -10.1743278277015 | 53 | 552 | 554.588317355142 | -2.58831735514205 | 54 | 546 | 550.184718373135 | -4.184718373135 | 55 | 607 | 545.093897486875 | 61.9061025131253 | 56 | 636 | 603.592022735727 | 32.4079772642727 | 57 | 631 | 627.846504638603 | 3.15349536139714 | 58 | 623 | 615.003857782163 | 7.99614221783718 | 59 | 618 | 609.693607055893 | 8.30639294410656 | 60 | 605 | 608.133875815007 | -3.13387581500712 | 61 | 619 | 596.267992549583 | 22.732007450417 | 62 | 596 | 610.41779380525 | -14.4177938052496 | 63 | 570 | 588.195082543854 | -18.1950825438536 | 64 | 546 | 562.212502431293 | -16.2125024312928 | 65 | 528 | 543.961127208865 | -15.9611272088648 | 66 | 506 | 528.729230705616 | -22.7292307056162 | 67 | 555 | 508.840826553387 | 46.1591734466133 | 68 | 568 | 557.261429310899 | 10.7385706891013 | 69 | 564 | 567.392126240867 | -3.39212624086663 | 70 | 553 | 556.375804152085 | -3.37580415208464 | 71 | 541 | 548.667596286102 | -7.66759628610163 | 72 | 542 | 539.186089179663 | 2.81391082033726 | 73 | 540 | 541.618222063296 | -1.61822206329574 | 74 | 521 | 539.888068837475 | -18.8880688374753 | 75 | 505 | 520.649193159397 | -15.6491931593974 | 76 | 491 | 506.672496006807 | -15.6724960068075 | 77 | 482 | 495.800116891068 | -13.800116891068 | 78 | 478 | 487.99885524563 | -9.99885524563042 | 79 | 523 | 484.756406527388 | 38.2435934726121 | 80 | 531 | 528.1412285833 | 2.85877141669954 | 81 | 532 | 532.717061988006 | -0.717061988006488 | 82 | 540 | 528.632870407527 | 11.367129592473 | 83 | 525 | 539.089388464166 | -14.0893884641657 | 84 | 533 | 524.665071498073 | 8.33492850192742 | 85 | 531 | 532.641558890039 | -1.64155889003888 | 86 | 508 | 532.258972018023 | -24.2589720180226 | 87 | 495 | 508.267032678765 | -13.2670326787649 | 88 | 482 | 497.985783783087 | -15.985783783087 | 89 | 470 | 488.267151278884 | -18.2671512788842 | 90 | 466 | 476.912197562749 | -10.9121975627493 | 91 | 515 | 473.999711760211 | 41.0002882397892 | 92 | 518 | 521.603126768534 | -3.60312676853364 | 93 | 516 | 520.870999299269 | -4.87099929926929 | 94 | 511 | 513.829087594454 | -2.829087594454 | 95 | 500 | 512.723141121997 | -12.7231411219972 | 96 | 498 | 502.85349378391 | -4.85349378390993 | 97 | 494 | 501.923796251985 | -7.92379625198492 | 98 | 476 | 498.832064699915 | -22.8320646999146 | 99 | 458 | 481.043494903128 | -23.0434949031277 | 100 | 443 | 465.026964686779 | -22.0269646867793 | 101 | 430 | 453.062765002025 | -23.0627650020253 | 102 | 424 | 441.733811279612 | -17.7338112796123 | 103 | 476 | 436.748088767366 | 39.2519112326344 | 104 | 481 | 487.305144169444 | -6.30514416944401 | 105 | 470 | 488.423841515652 | -18.4238415156518 | 106 | 460 | 472.138086838088 | -12.1380868380883 | 107 | 451 | 466.820392936514 | -15.8203929365138 | 108 | 450 | 460.195994257163 | -10.195994257163 | 109 | 444 | 459.86521587938 | -15.8652158793803 | 110 | 429 | 454.199180554782 | -25.1991805547819 | 111 | 421 | 439.492158921843 | -18.4921589218435 | 112 | 400 | 433.19901923732 | -33.19901923732 | 113 | 389 | 414.385302839413 | -25.385302839413 | 114 | 384 | 404.654989272405 | -20.6549892724048 | 115 | 432 | 401.86383315206 | 30.13616684794 | 116 | 446 | 447.838929040074 | -1.83892904007447 | 117 | 431 | 457.949709503893 | -26.9497095038934 | 118 | 423 | 437.701201459637 | -14.7012014596369 | 119 | 416 | 433.398397100102 | -17.3983971001018 | 120 | 416 | 429.665643016588 | -13.6656430165884 | 121 | 413 | 429.670203364213 | -16.6702033642131 | 122 | 399 | 426.804632432957 | -27.8046324329565 | 123 | 386 | 412.938897837623 | -26.9388978376228 | 124 | 374 | 401.558582090239 | -27.5585820902392 | 125 | 365 | 391.878304236759 | -26.8783042367594 | 126 | 365 | 384.065222017724 | -19.0652220177243 | 127 | 418 | 384.72890667796 | 33.2710933220401 | 128 | 428 | 435.736987242543 | -7.73698724254259 | 129 | 424 | 441.366419889545 | -17.3664198895452 | 130 | 421 | 431.899294495248 | -10.8992944952483 | 131 | 417 | 432.504019689643 | -15.504019689643 | 132 | 423 | 430.001320759714 | -7.00132075971389 | 133 | 423 | 436.003580101626 | -13.0035801016256 | 134 | 419 | 435.769822064049 | -16.7698220640494 | 135 | 406 | 431.032708332375 | -25.0327083323745 | 136 | 398 | 419.220986220924 | -21.2209862209235 | 137 | 390 | 412.694014827965 | -22.694014827965 | 138 | 391 | 406.386225208523 | -15.3862252085226 | 139 | 444 | 407.575483166179 | 36.4245168338207 | 140 | 460 | 458.743248063679 | 1.25675193632122 | 141 | 455 | 470.143487320754 | -15.1434873207535 | 142 | 456 | 459.417116181508 | -3.41711618150797 | 143 | 452 | 463.376802222636 | -11.3768022226364 | 144 | 459 | 461.193071199142 | -2.19307119914241 | 145 | 461 | 467.7042020155 | -6.70420201550027 | 146 | 451 | 469.652858792226 | -18.6528587922259 | 147 | 443 | 458.911106742044 | -15.9111067420438 | 148 | 439 | 452.185735129124 | -13.1857351291242 | 149 | 430 | 449.927061398102 | -19.927061398102 | 150 | 436 | 441.46096243956 | -5.46096243956038 | 151 | 488 | 447.552844656238 | 40.447155343762 | 152 | 506 | 497.854879850141 | 8.14512014985938 | 153 | 502 | 510.696527577158 | -8.69652757715783 | 154 | 501 | 501.299062881613 | -0.299062881613388 | 155 | 501 | 503.000559649796 | -2.00055964979599 | 156 | 515 | 504.862690348471 | 10.1373096515294 | 157 | 521 | 518.141944219772 | 2.85805578022794 | 158 | 520 | 522.977096907564 | -2.97709690756431 | 159 | 512 | 520.322250620951 | -8.3222506209512 | 160 | 509 | 513.212724706036 | -4.21272470603571 | 161 | 505 | 511.387548750214 | -6.38754875021418 | 162 | 511 | 508.391948405413 | 2.60805159458727 | 163 | 570 | 514.078093247742 | 55.9219067522577 | 164 | 592 | 570.738835151059 | 21.2611648489411 | 165 | 594 | 587.39659262239 | 6.60340737761013 | 166 | 586 | 582.876978515872 | 3.12302148412835 | 167 | 586 | 577.631106479579 | 8.36889352042112 | 168 | 592 | 579.681019102813 | 12.3189808971874 | 169 | 594 | 586.378659810138 | 7.62134018986215 | 170 | 594 | 587.301972305746 | 6.69802769425408 | 171 | 586 | 586.613573703093 | -0.613573703092747 | 172 | 586 | 579.185905446071 | 6.81409455392915 | 173 | 572 | 579.843452300883 | -7.84345230088323 | 174 | 572 | 567.096764592013 | 4.90323540798689 | 175 | 563 | 567.337986009394 | -4.33798600939426 | 176 | 563 | 559.977486280593 | 3.022513719407 | 177 | 555 | 559.432901938998 | -4.4329019389976 | 178 | 555 | 552.566198944793 | 2.43380105520659 | 179 | 554 | 552.354430925755 | 1.64556907424502 | 180 | 554 | 552.143819475048 | 1.85618052495231 | 181 | 601 | 551.57479246746 | 49.4252075325399 | 182 | 601 | 596.992508262911 | 4.00749173708919 | 183 | 622 | 593.9849951374 | 28.0150048626005 | 184 | 622 | 609.813596908783 | 12.1864030912174 | 185 | 617 | 612.219954628194 | 4.78004537180589 | 186 | 617 | 605.423091366612 | 11.5769086333882 | 187 | 606 | 607.395201688677 | -1.39520168867718 | 188 | 606 | 597.259144560534 | 8.74085543946615 | 189 | 595 | 597.55047144684 | -2.55047144683956 | 190 | 595 | 587.979034507164 | 7.02096549283602 | 191 | 599 | 587.796189644097 | 11.2038103559035 | 192 | 599 | 592.689456079224 | 6.31054392077582 | 193 | 600 | 591.571709187347 | 8.4282908126534 | 194 | 600 | 592.160484476344 | 7.83951552365577 | 195 | 592 | 592.415147363662 | -0.415147363661585 | 196 | 592 | 584.607410722011 | 7.39258927798885 | 197 | 575 | 585.185928951928 | -10.185928951928 | 198 | 575 | 569.546300568097 | 5.45369943190276 | 199 | 567 | 569.97450239124 | -2.97450239124042 | 200 | 567 | 563.860626314993 | 3.13937368500677 | 201 | 555 | 563.016629296791 | -8.01662929679059 | 202 | 555 | 552.198568704561 | 2.8014312954391 | 203 | 555 | 552.315136518101 | 2.6848634818993 | 204 | 555 | 553.445252084692 | 1.55474791530787 | 205 | 608 | 552.497783775602 | 55.5022162243983 | 206 | 608 | 603.607277556229 | 4.39272244377088 | 207 | 631 | 600.304832244089 | 30.6951677559107 | 208 | 631 | 617.497440943645 | 13.502559056355 | 209 | 629 | 620.253316808588 | 8.74668319141158 | 210 | 629 | 616.161187492478 | 12.8388125075225 | 211 | 624 | 618.104374658572 | 5.89562534142808 | 212 | 624 | 613.471888786116 | 10.528111213884 | 213 | 610 | 613.626340735584 | -3.62634073558425 | 214 | 610 | 600.59734293248 | 9.40265706751972 | 215 | 616 | 601.075650224548 | 14.924349775452 | 216 | 616 | 608.17985387055 | 7.82014612945001 | 217 | 621 | 606.700367500144 | 14.2996324998555 | 218 | 621 | 610.958190292934 | 10.0418097070663 | 219 | 604 | 611.12160322236 | -7.12160322235943 | 220 | 604 | 594.258631096849 | 9.74136890315145 | 221 | 584 | 595.714205043634 | -11.7142050436336 | 222 | 584 | 578.028566267544 | 5.97143373245621 | 223 | 574 | 577.932490872389 | -3.93249087238923 | 224 | 574 | 570.172297773736 | 3.82770222626451 | 225 | 555 | 569.215868484688 | -14.2158684846876 | 226 | 555 | 551.835819713706 | 3.16418028629434 | 227 | 545 | 552.230617890899 | -7.23061789089913 | 228 | 545 | 544.376321427501 | 0.623678572499232 | 229 | 599 | 543.498920763348 | 55.5010792366516 | 230 | 599 | 596.513761749742 | 2.48623825025771 | 231 | 620 | 592.358703386726 | 27.6412966132735 | 232 | 620 | 607.528581604897 | 12.4714183951028 | 233 | 608 | 610.488139698577 | -2.48813969857743 | 234 | 608 | 596.941081528754 | 11.0589184712464 | 235 | 590 | 599.349479464264 | -9.34947946426373 | 236 | 590 | 583.121950981091 | 6.87804901890874 | 237 | 579 | 583.296365106573 | -4.29636510657298 | 238 | 579 | 574.38365172011 | 4.61634827989022 | 239 | 580 | 573.647606482774 | 6.35239351722637 | 240 | 580 | 575.647932242941 | 4.35206775705936 | 241 | 579 | 574.717165756825 | 4.28283424317492 | 242 | 579 | 573.659624023416 | 5.34037597658384 | 243 | 572 | 573.801854639888 | -1.80185463988829 | 244 | 572 | 567.146638286047 | 4.85336171395268 | 245 | 560 | 567.504772464252 | -7.50477246425244 | 246 | 560 | 556.592608507278 | 3.40739149272186 | 247 | 551 | 556.788204945713 | -5.78820494571347 | 248 | 551 | 549.239498487423 | 1.76050151257706 | 249 | 537 | 548.852971395619 | -11.8529713956186 | 250 | 537 | 536.200387051493 | 0.79961294850689 | 251 | 541 | 536.362579843979 | 4.63742015602127 | 252 | 541 | 541.53815637334 | -0.538156373340282 | 253 | 588 | 540.183323606776 | 47.8166763932239 | 254 | 588 | 585.130522578504 | 2.86947742149629 | 255 | 607 | 582.51815257747 | 24.48184742253 | 256 | 607 | 596.418127232213 | 10.5818727677873 | 257 | 599 | 598.949138555466 | 0.0508614445344175 | 258 | 599 | 589.447541348412 | 9.55245865158812 | 259 | 578 | 591.448574826448 | -13.4485748264482 | 260 | 578 | 571.951692209337 | 6.0483077906634 | 261 | 563 | 572.629201240163 | -9.62920124016248 | 262 | 563 | 560.141543714652 | 2.85845628534771 | 263 | 566 | 559.417719810312 | 6.58228018968775 | 264 | 566 | 563.723086146098 | 2.2769138539018 | 265 | 561 | 562.351551556559 | -1.35155155655917 | 266 | 561 | 557.24854886038 | 3.75145113961987 | 267 | 554 | 557.798143934326 | -3.79814393432601 | 268 | 554 | 551.519341039464 | 2.48065896053645 | 269 | 540 | 551.561360718087 | -11.5613607180866 | 270 | 540 | 538.720569644472 | 1.27943035552819 | 271 | 526 | 539.040819686748 | -13.0408196867485 | 272 | 526 | 526.858752166346 | -0.858752166346129 | 273 | 512 | 526.625801834354 | -14.6258018343541 | 274 | 512 | 514.443734313952 | -2.44373431395175 | 275 | 505 | 514.21078398196 | -9.21078398195974 | 276 | 505 | 508.778911369799 | -3.77891136979889 | 277 | 554 | 508.109673424362 | 45.8903265756379 | 278 | 554 | 556.020636524921 | -2.02063652492107 | 279 | 584 | 552.414298046195 | 31.5857019538048 | 280 | 584 | 576.733515112971 | 7.266484887029 | 281 | 569 | 578.736988864888 | -9.73698886488754 | 282 | 569 | 561.450059737401 | 7.54994026259855 | 283 | 540 | 564.756695702733 | -24.7566957027333 | 284 | 540 | 538.204028172272 | 1.79597182772766 | 285 | 522 | 538.826951244195 | -16.8269512441949 | 286 | 522 | 524.199179961681 | -2.19917996168108 | 287 | 526 | 523.030107463939 | 2.96989253606115 | 288 | 526 | 528.582097452279 | -2.58209745227888 | 289 | 527 | 526.911150186133 | 0.0888498138673981 | 290 | 527 | 527.49992547513 | -0.499925475130242 | 291 | 516 | 527.754588362448 | -11.7545883624476 | 292 | 516 | 517.053911045836 | -1.05391104583651 | 293 | 503 | 517.819409681515 | -14.8194096815154 | 294 | 503 | 506.319345625199 | -3.31934562519937 | 295 | 489 | 506.261154365973 | -17.2611543659733 | 296 | 489 | 493.984983480826 | -4.98498348082627 | 297 | 479 | 493.83106177373 | -14.8310617737298 | 298 | 479 | 485.506248486608 | -6.50624848660829 | 299 | 475 | 485.023990946934 | -10.0239909469336 | 300 | 475 | 482.108645550755 | -7.10864555075488 | 301 | 524 | 481.568541699138 | 42.4314583008618 | 302 | 524 | 529.197194705463 | -5.19719470546327 | 303 | 552 | 525.827942101424 | 26.172057898576 | 304 | 552 | 548.21853205156 | 3.78146794844066 | 305 | 532 | 550.346659407317 | -18.3466594073172 | 306 | 532 | 528.426369217719 | 3.57363078228068 | 307 | 511 | 531.886581942863 | -20.8865819428635 | 308 | 511 | 513.518939702687 | -2.51893970268739 | 309 | 492 | 513.248105234767 | -21.2481052347669 | 310 | 492 | 496.903193475976 | -4.90319347597586 | 311 | 492 | 496.428676779319 | -4.42867677931853 | 312 | 492 | 498.217515899122 | -6.21751589912233 | 313 | 493 | 496.716847215763 | -3.71684721576322 | 314 | 493 | 497.682035963739 | -4.68203596373936 | 315 | 481 | 497.620584351475 | -16.6205843514746 | 316 | 481 | 485.955593476543 | -4.9555934765433 | 317 | 462 | 486.783418914143 | -24.7834189141428 | 318 | 462 | 469.59157687265 | -7.59157687265015 | 319 | 457 | 469.828317800053 | -12.8283178000526 | 320 | 457 | 466.795589128255 | -9.79558912825529 | 321 | 442 | 465.6065544545 | -23.6065544544996 | 322 | 442 | 451.613243093075 | -9.61324309307534 | 323 | 439 | 452.153877187064 | -13.1538771870637 | 324 | 439 | 450.673362172928 | -11.6733621729284 | 325 | 488 | 449.675788394913 | 38.3242116050866 | 326 | 488 | 497.210338036494 | -9.21033803649386 | 327 | 521 | 493.92011405735 | 27.0798859426499 | 328 | 521 | 521.132271799087 | -0.132271799086549 | 329 | 501 | 522.948765145241 | -21.948765145241 | 330 | 501 | 500.55795813192 | 0.442041868079992 | 331 | 485 | 504.413313981542 | -19.4133139815419 | 332 | 485 | 490.867239532967 | -5.86723953296682 | 333 | 464 | 490.284771055443 | -26.284771055443 | 334 | 464 | 471.540715356288 | -7.54071535628836 | 335 | 460 | 471.58599538795 | -11.58599538795 | 336 | 460 | 469.705787003962 | -9.70578700396219 | 337 | 467 | 468.296368278495 | -1.29636827849473 | 338 | 467 | 475.423851835371 | -8.42385183537067 | 339 | 460 | 474.672324912 | -14.6723249119997 | 340 | 460 | 467.264281640202 | -7.26428164020177 | 341 | 448 | 468.254644817571 | -20.2546448175711 | 342 | 448 | 457.342480860597 | -9.34248086059681 | 343 | 443 | 457.538077299032 | -14.5380772990321 | 344 | 443 | 453.846625074022 | -10.8466250740225 | 345 | 436 | 453.210790774535 | -17.2107907745354 | 346 | 436 | 446.931987879673 | -10.931987879673 | 347 | 431 | 446.974007558296 | -15.974007558296 | 348 | 431 | 442.812038509563 | -11.8120385095632 | 349 | 484 | 442.571347334554 | 41.4286526654462 | 350 | 484 | 494.151357938904 | -10.1513579389043 | 351 | 510 | 490.453769502287 | 19.5462304977132 | 352 | 510 | 510.539318876803 | -0.53931887680325 | 353 | 513 | 513.108214335985 | -0.108214335984599 | 354 | 513 | 513.555342717241 | -0.555342717240915 | 355 | 503 | 515.423981748419 | -12.4239817484185 | 356 | 503 | 505.499411260638 | -2.49941126063841 | 357 | 471 | 506.360640344188 | -35.3606403441877 | 358 | 471 | 476.444515315043 | -5.44451531504291 | 359 | 471 | 477.649561917205 | -6.64956191720515 | 360 | 471 | 480.661744778689 | -9.66174477868909 | 361 | 476 | 478.133703971688 | -2.13370397168811 | 362 | 476 | 482.956146952945 | -6.95614695294511 | 363 | 475 | 482.645388132998 | -7.64538813299766 | 364 | 475 | 481.21143294061 | -6.21143294061024 | 365 | 470 | 481.669778056664 | -11.6697780566645 | 366 | 470 | 476.943188819464 | -6.94318881946393 | 367 | 461 | 477.176669393828 | -16.1766693938277 | 368 | 461 | 468.969239382325 | -7.96923938232481 | 369 | 455 | 469.135912664789 | -14.1359126647892 | 370 | 455 | 464.197836787225 | -9.19783678722541 | 371 | 456 | 463.861415164346 | -7.86141516434563 | 372 | 456 | 465.39122410079 | -9.39122410078952 | 373 | 517 | 464.855600739152 | 52.1443992608484 | 374 | 517 | 523.585499621596 | -6.58549962159612 | 375 | 525 | 519.863468518986 | 5.13653148101362 | 376 | 525 | 521.838546925782 | 3.16145307421811 | 377 | 523 | 526.1615538187 | -3.16155381869962 | 378 | 523 | 523.480974973758 | -0.480974973758107 | 379 | 519 | 524.23873276642 | -5.2387327664196 | 380 | 519 | 520.570560452284 | -1.57056045228391 | 381 | 509 | 520.662685599831 | -11.6626855998315 | 382 | 509 | 511.396838665264 | -2.39683866526373 | 383 | 512 | 511.704867374544 | 0.295132625455711 | 384 | 512 | 515.539716886607 | -3.53971688660711 | 385 | 519 | 514.563325421546 | 4.43667457845427 | 386 | 519 | 521.032085425209 | -2.03208542520929 | 387 | 517 | 520.833758876107 | -3.83375887610707 | 388 | 517 | 518.24728339591 | -1.24728339591018 | 389 | 510 | 518.926012563676 | -8.92601256367616 | 390 | 510 | 512.36489957458 | -2.3648995745798 | 391 | 509 | 512.644005127889 | -3.64400512788939 | 392 | 509 | 512.339290312437 | -3.33929031243748 | 393 | 501 | 511.849291929745 | -10.8492919297454 | 394 | 501 | 504.229762017584 | -3.22976201758419 | 395 | 507 | 504.65022299771 | 2.34977700229002 | 396 | 507 | 511.189806455244 | -4.18980645524421 | 397 | 569 | 510.184491834212 | 58.8155081657882 | 398 | 569 | 569.408187451253 | -0.408187451253465 | 399 | 580 | 566.018972671201 | 13.9810273287993 | 400 | 580 | 570.792888388212 | 9.20711161178777 | 401 | 578 | 575.007943500263 | 2.99205649973654 | 402 | 578 | 572.045054561088 | 5.95494543891193 | 403 | 565 | 573.039898228436 | -8.03989822843615 | 404 | 565 | 560.692903889419 | 4.30709611058149 | 405 | 547 | 561.345970254252 | -14.3459702542522 | 406 | 547 | 545.212545135824 | 1.7874548641757 | 407 | 555 | 545.307930636411 | 9.6920693635895 | 408 | 555 | 554.717174858031 | 0.282825141968587 | 409 | 562 | 552.796920384202 | 9.20307961579757 | 410 | 561 | 558.795163564143 | 2.20483643585713 | 411 | 555 | 558.027666581198 | -3.02766658119807 | 412 | 544 | 551.646263669641 | -7.64626366964098 | 413 | 537 | 542.060954268312 | -5.0609542683119 | 414 | 543 | 536.482820934426 | 6.51717906557405 | 415 | 594 | 543.266830350266 | 50.7331696497344 | 416 | 611 | 591.86314488209 | 19.1368551179099 | 417 | 613 | 603.960863102499 | 9.03913689750117 | 418 | 611 | 600.505709923541 | 10.494290076459 | 419 | 594 | 600.884007061728 | -6.88400706172842 | 420 | 595 | 585.771485257517 | 9.22851474248327 | 421 | 591 | 588.142493617425 | 2.85750638257534 | 422 | 589 | 585.665487722747 | 3.3345122772534 | 423 | 584 | 582.549453015476 | 1.45054698452381 | 424 | 573 | 578.308856101246 | -5.3088561012464 | 425 | 567 | 567.88600838889 | -0.886008388890456 | 426 | 569 | 563.099056623685 | 5.90094337631542 | 427 | 621 | 566.042513629218 | 54.9574863707818 | 428 | 629 | 615.758345562301 | 13.241654437699 | 429 | 628 | 619.570357039781 | 8.42964296021886 | 430 | 612 | 613.372986538822 | -1.37298653882199 | 431 | 595 | 601.363833173886 | -6.36383317388556 | 432 | 597 | 586.694939066737 | 10.3050609332625 | 433 | 593 | 591.110622216704 | 1.88937778329624 | 434 | 590 | 587.464888771568 | 2.53511122843235 | 435 | 580 | 583.290437141232 | -3.29043714123239 | 436 | 574 | 574.369627862218 | -0.369627862217728 | 437 | 573 | 569.174085315811 | 3.82591468418914 | 438 | 573 | 569.28855553143 | 3.71144446856971 | 439 | 620 | 569.126091462519 | 50.8739085374806 | 440 | 626 | 614.069635508597 | 11.9303644914031 | 441 | 620 | 616.848003733007 | 3.15199626699311 | 442 | 588 | 606.26617861822 | -18.2661786182201 | 443 | 566 | 578.932705934775 | -12.9327059347752 | 444 | 557 | 560.751932440689 | -3.75193244068885 | 445 | 561 | 555.982311170172 | 5.01768882982749 | 446 | 549 | 559.94273983812 | -10.9427398381202 | 447 | 532 | 547.230845655251 | -15.2308456552509 | 448 | 526 | 530.498640893473 | -4.49864089347296 | 449 | 511 | 527.218545242377 | -16.2185452423767 | 450 | 499 | 513.780091570666 | -14.7800915706657 | 451 | 555 | 502.365239654533 | 52.6347603454671 | 452 | 565 | 558.052974454965 | 6.94702554503473 | 453 | 542 | 564.150495323768 | -22.1504953237681 | 454 | 527 | 535.130758728407 | -8.13075872840696 | 455 | 510 | 525.585016334138 | -15.5850163341385 | 456 | 514 | 513.082126699243 | 0.917873300757492 | 457 | 517 | 517.593703853403 | -0.593703853403015 | 458 | 508 | 520.652540337563 | -12.6525403375626 | 459 | 493 | 510.067713014372 | -17.0677130143721 | 460 | 490 | 496.198630451859 | -6.19863045185904 | 461 | 469 | 495.325483152753 | -26.3254831527526 | 462 | 478 | 475.963046870556 | 2.03695312944433 | 463 | 528 | 485.048487646229 | 42.9515123537713 | 464 | 534 | 534.44318431956 | -0.443184319559911 | 465 | 518 | 534.607069357596 | -16.6070693575957 | 466 | 506 | 514.811056189433 | -8.81105618943254 | 467 | 502 | 507.624208566285 | -5.62420856628532 | 468 | 516 | 506.495576730996 | 9.50442326900435 | 469 | 528 | 520.110931323424 | 7.88906867657564 | 470 | 533 | 530.239063946266 | 2.7609360537344 | 471 | 536 | 532.680023698468 | 3.31997630153237 | 472 | 537 | 535.239365925083 | 1.76063407491728 | 473 | 524 | 536.49540094232 | -12.49540094232 | 474 | 536 | 524.010706102136 | 11.9892938978638 | 475 | 587 | 536.536574926545 | 50.4634250734545 | 476 | 597 | 586.27189233406 | 10.72810766594 | 477 | 581 | 590.580623708386 | -9.58062370838631 | 478 | 564 | 570.678285842482 | -6.67828584248246 | 479 | 558 | 558.372485593651 | -0.37248559365117 | 480 | 575 | 555.942975150907 | 19.0570248490935 | 481 | 580 | 573.04644084586 | 6.95355915413961 | 482 | 575 | 576.03046175971 | -1.0304617597097 | 483 | 563 | 568.824206198129 | -5.82420619812936 | 484 | 552 | 558.437922497047 | -6.4379224970469 | 485 | 537 | 549.444930116429 | -12.4449301164293 | 486 | 545 | 536.400794004867 | 8.59920599513273 | 487 | 601 | 545.13787320334 | 55.8621267966604 | 488 | 604 | 599.183928840881 | 4.81607115911916 | 489 | 586 | 596.64918750655 | -10.6491875065497 | 490 | 564 | 574.467878814145 | -10.4678788141449 | 491 | 549 | 558.519031055244 | -9.51903105524386 | 492 | 551 | 547.357338952441 | 3.64266104755877 |
Goldfeld-Quandt test for Heteroskedasticity | p-values | Alternative Hypothesis | breakpoint index | greater | 2-sided | less | 9 | 0.644286925030521 | 0.711426149938957 | 0.355713074969479 | 10 | 0.673142901420173 | 0.653714197159654 | 0.326857098579827 | 11 | 0.773044959919238 | 0.453910080161524 | 0.226955040080762 | 12 | 0.859447301809673 | 0.281105396380653 | 0.140552698190327 | 13 | 0.940068413226146 | 0.119863173547707 | 0.0599315867738536 | 14 | 0.98020339668553 | 0.0395932066289412 | 0.0197966033144706 | 15 | 0.993350313731298 | 0.0132993725374029 | 0.00664968626870147 | 16 | 0.996379794385309 | 0.00724041122938293 | 0.00362020561469147 | 17 | 0.997376270197213 | 0.0052474596055734 | 0.0026237298027867 | 18 | 0.997139603450076 | 0.00572079309984758 | 0.00286039654992379 | 19 | 0.99930312001734 | 0.00139375996531946 | 0.000696879982659732 | 20 | 0.99977570436572 | 0.00044859126856077 | 0.000224295634280385 | 21 | 0.99982893508405 | 0.000342129831900243 | 0.000171064915950121 | 22 | 0.999743568312396 | 0.000512863375208876 | 0.000256431687604438 | 23 | 0.999558881357612 | 0.000882237284776257 | 0.000441118642388128 | 24 | 0.999256685678196 | 0.00148662864360775 | 0.000743314321803876 | 25 | 0.998796197562179 | 0.00240760487564188 | 0.00120380243782094 | 26 | 0.99836396930882 | 0.00327206138236084 | 0.00163603069118042 | 27 | 0.99864784153535 | 0.00270431692929821 | 0.0013521584646491 | 28 | 0.999401781494539 | 0.00119643701092271 | 0.000598218505461357 | 29 | 0.999840755196235 | 0.000318489607529848 | 0.000159244803764924 | 30 | 0.999957486070981 | 8.50278580371855e-05 | 4.25139290185927e-05 | 31 | 0.999973974508914 | 5.20509821723201e-05 | 2.602549108616e-05 | 32 | 0.99997215796957 | 5.56840608616783e-05 | 2.78420304308391e-05 | 33 | 0.999962655908877 | 7.46881822469e-05 | 3.734409112345e-05 | 34 | 0.999942718565705 | 0.000114562868589651 | 5.72814342948254e-05 | 35 | 0.999908574382827 | 0.000182851234346095 | 9.14256171730474e-05 | 36 | 0.999855359332254 | 0.000289281335491159 | 0.000144640667745579 | 37 | 0.999785458941711 | 0.000429082116578605 | 0.000214541058289302 | 38 | 0.999768290369832 | 0.000463419260336958 | 0.000231709630168479 | 39 | 0.999883048265435 | 0.000233903469130431 | 0.000116951734565216 | 40 | 0.999968863308783 | 6.22733824345316e-05 | 3.11366912172658e-05 | 41 | 0.999997053168312 | 5.89366337617477e-06 | 2.94683168808738e-06 | 42 | 0.999999693124926 | 6.13750147826624e-07 | 3.06875073913312e-07 | 43 | 0.99999981084065 | 3.7831869821877e-07 | 1.89159349109385e-07 | 44 | 0.999999743895959 | 5.1220808270656e-07 | 2.5610404135328e-07 | 45 | 0.999999589729157 | 8.20541686862105e-07 | 4.10270843431052e-07 | 46 | 0.99999931773816 | 1.36452367970895e-06 | 6.82261839854474e-07 | 47 | 0.99999916643068 | 1.66713863924557e-06 | 8.33569319622783e-07 | 48 | 0.999999372512043 | 1.25497591442791e-06 | 6.27487957213955e-07 | 49 | 0.999999676250944 | 6.47498112593972e-07 | 3.23749056296986e-07 | 50 | 0.999999950887831 | 9.82243369978768e-08 | 4.91121684989384e-08 | 51 | 0.999999998018782 | 3.96243590356532e-09 | 1.98121795178266e-09 | 52 | 0.999999999979096 | 4.18071955280251e-11 | 2.09035977640125e-11 | 53 | 0.999999999999667 | 6.65904436119146e-13 | 3.32952218059573e-13 | 54 | 0.999999999999993 | 1.32039706077717e-14 | 6.60198530388586e-15 | 55 | 0.999999999999998 | 4.0385802186047e-15 | 2.01929010930235e-15 | 56 | 0.999999999999997 | 6.20150799580494e-15 | 3.10075399790247e-15 | 57 | 0.999999999999995 | 1.0543070917465e-14 | 5.2715354587325e-15 | 58 | 0.999999999999992 | 1.5964551452857e-14 | 7.98227572642848e-15 | 59 | 0.99999999999999 | 1.83525674741561e-14 | 9.17628373707804e-15 | 60 | 0.999999999999996 | 8.55682935272785e-15 | 4.27841467636393e-15 | 61 | 0.999999999999995 | 9.30600849062539e-15 | 4.6530042453127e-15 | 62 | 1 | 1.48341509047992e-15 | 7.41707545239962e-16 | 63 | 1 | 4.25934410411315e-17 | 2.12967205205657e-17 | 64 | 1 | 4.61275522354532e-19 | 2.30637761177266e-19 | 65 | 1 | 2.99423153098784e-21 | 1.49711576549392e-21 | 66 | 1 | 9.09588913528921e-24 | 4.54794456764461e-24 | 67 | 1 | 2.60153929515728e-24 | 1.30076964757864e-24 | 68 | 1 | 3.19458162892744e-24 | 1.59729081446372e-24 | 69 | 1 | 2.6072183084976e-24 | 1.3036091542488e-24 | 70 | 1 | 1.94384016766591e-24 | 9.71920083832957e-25 | 71 | 1 | 8.16707137985e-25 | 4.083535689925e-25 | 72 | 1 | 6.28297228777246e-25 | 3.14148614388623e-25 | 73 | 1 | 4.76092502150083e-25 | 2.38046251075042e-25 | 74 | 1 | 9.41362195474973e-26 | 4.70681097737487e-26 | 75 | 1 | 2.27940129325844e-26 | 1.13970064662922e-26 | 76 | 1 | 5.28659351699977e-27 | 2.64329675849989e-27 | 77 | 1 | 1.67216180225319e-27 | 8.36080901126596e-28 | 78 | 1 | 9.69479741006347e-28 | 4.84739870503173e-28 | 79 | 1 | 4.12422127722522e-28 | 2.06211063861261e-28 | 80 | 1 | 8.94518402502746e-28 | 4.47259201251373e-28 | 81 | 1 | 1.88285720194703e-27 | 9.41428600973516e-28 | 82 | 1 | 3.56408823812613e-27 | 1.78204411906307e-27 | 83 | 1 | 4.04380415234267e-27 | 2.02190207617134e-27 | 84 | 1 | 7.85225292198918e-27 | 3.92612646099459e-27 | 85 | 1 | 1.48339662687071e-26 | 7.41698313435357e-27 | 86 | 1 | 6.68630105871762e-27 | 3.34315052935881e-27 | 87 | 1 | 6.55206749664394e-27 | 3.27603374832197e-27 | 88 | 1 | 4.86951374550592e-27 | 2.43475687275296e-27 | 89 | 1 | 3.01634554430553e-27 | 1.50817277215277e-27 | 90 | 1 | 3.40805796187937e-27 | 1.70402898093969e-27 | 91 | 1 | 6.458540124057e-28 | 3.2292700620285e-28 | 92 | 1 | 1.376899455258e-27 | 6.88449727629001e-28 | 93 | 1 | 2.91176101478026e-27 | 1.45588050739013e-27 | 94 | 1 | 6.20238317599089e-27 | 3.10119158799544e-27 | 95 | 1 | 9.1809489952335e-27 | 4.59047449761675e-27 | 96 | 1 | 1.70576377079644e-26 | 8.5288188539822e-27 | 97 | 1 | 2.95173264381461e-26 | 1.47586632190731e-26 | 98 | 1 | 2.2065325420838e-26 | 1.1032662710419e-26 | 99 | 1 | 1.57394756745571e-26 | 7.86973783727856e-27 | 100 | 1 | 1.13802713742535e-26 | 5.69013568712677e-27 | 101 | 1 | 7.50775138385967e-27 | 3.75387569192983e-27 | 102 | 1 | 7.87035656398294e-27 | 3.93517828199147e-27 | 103 | 1 | 1.03672223737045e-27 | 5.18361118685227e-28 | 104 | 1 | 2.17581027057392e-27 | 1.08790513528696e-27 | 105 | 1 | 3.11664777032011e-27 | 1.55832388516005e-27 | 106 | 1 | 6.12580645456342e-27 | 3.06290322728171e-27 | 107 | 1 | 9.29774838551637e-27 | 4.64887419275818e-27 | 108 | 1 | 1.67880732593115e-26 | 8.39403662965577e-27 | 109 | 1 | 2.56959011330439e-26 | 1.2847950566522e-26 | 110 | 1 | 2.32739532853863e-26 | 1.16369766426931e-26 | 111 | 1 | 3.21749432396095e-26 | 1.60874716198048e-26 | 112 | 1 | 1.51072846476043e-26 | 7.55364232380215e-27 | 113 | 1 | 1.33535790868532e-26 | 6.67678954342662e-27 | 114 | 1 | 1.69479409775717e-26 | 8.47397048878586e-27 | 115 | 1 | 4.26469888140024e-27 | 2.13234944070012e-27 | 116 | 1 | 8.60722946007908e-27 | 4.30361473003954e-27 | 117 | 1 | 8.4923029625131e-27 | 4.24615148125655e-27 | 118 | 1 | 1.7174744836787e-26 | 8.58737241839351e-27 | 119 | 1 | 2.99389188219431e-26 | 1.49694594109715e-26 | 120 | 1 | 5.58279656274592e-26 | 2.79139828137296e-26 | 121 | 1 | 9.77358184198014e-26 | 4.88679092099007e-26 | 122 | 1 | 9.72287312707666e-26 | 4.86143656353833e-26 | 123 | 1 | 1.05528339532252e-25 | 5.27641697661259e-26 | 124 | 1 | 1.08480413922433e-25 | 5.42402069612165e-26 | 125 | 1 | 1.13714965391956e-25 | 5.68574826959782e-26 | 126 | 1 | 1.84757426796188e-25 | 9.23787133980938e-26 | 127 | 1 | 2.06885526198664e-26 | 1.03442763099332e-26 | 128 | 1 | 3.86978152692463e-26 | 1.93489076346231e-26 | 129 | 1 | 6.01366435194799e-26 | 3.006832175974e-26 | 130 | 1 | 1.20532687086504e-25 | 6.02663435432518e-26 | 131 | 1 | 2.28525617286002e-25 | 1.14262808643001e-25 | 132 | 1 | 4.60788605822196e-25 | 2.30394302911098e-25 | 133 | 1 | 8.81882492364173e-25 | 4.40941246182086e-25 | 134 | 1 | 1.52957872114009e-24 | 7.64789360570043e-25 | 135 | 1 | 1.95061882188518e-24 | 9.7530941094259e-25 | 136 | 1 | 2.96550677919063e-24 | 1.48275338959532e-24 | 137 | 1 | 4.17250939905055e-24 | 2.08625469952527e-24 | 138 | 1 | 7.48771842673331e-24 | 3.74385921336666e-24 | 139 | 1 | 5.14153845909188e-25 | 2.57076922954594e-25 | 140 | 1 | 7.11605621607435e-25 | 3.55802810803717e-25 | 141 | 1 | 9.22461254353926e-25 | 4.61230627176963e-25 | 142 | 1 | 1.48491978045887e-24 | 7.42459890229434e-25 | 143 | 1 | 2.73669258775559e-24 | 1.3683462938778e-24 | 144 | 1 | 4.81375485462386e-24 | 2.40687742731193e-24 | 145 | 1 | 8.66583196310178e-24 | 4.33291598155089e-24 | 146 | 1 | 1.23924750995236e-23 | 6.1962375497618e-24 | 147 | 1 | 2.06308131331171e-23 | 1.03154065665586e-23 | 148 | 1 | 3.71204229122869e-23 | 1.85602114561435e-23 | 149 | 1 | 5.26387207934817e-23 | 2.63193603967408e-23 | 150 | 1 | 9.76220849767911e-23 | 4.88110424883955e-23 | 151 | 1 | 3.86892985058254e-24 | 1.93446492529127e-24 | 152 | 1 | 3.7797600282303e-24 | 1.88988001411515e-24 | 153 | 1 | 4.49102684481063e-24 | 2.24551342240532e-24 | 154 | 1 | 6.29984371295697e-24 | 3.14992185647849e-24 | 155 | 1 | 1.02695001664009e-23 | 5.13475008320043e-24 | 156 | 1 | 1.10647253831687e-23 | 5.53236269158437e-24 | 157 | 1 | 1.55027864082348e-23 | 7.7513932041174e-24 | 158 | 1 | 2.36299631573679e-23 | 1.1814981578684e-23 | 159 | 1 | 3.83244229489537e-23 | 1.91622114744768e-23 | 160 | 1 | 6.54116259013178e-23 | 3.27058129506589e-23 | 161 | 1 | 1.13754938367043e-22 | 5.68774691835214e-23 | 162 | 1 | 1.76532556335045e-22 | 8.82662781675226e-23 | 163 | 1 | 5.55515751368211e-25 | 2.77757875684106e-25 | 164 | 1 | 2.62243633335475e-25 | 1.31121816667738e-25 | 165 | 1 | 2.60309706503073e-25 | 1.30154853251536e-25 | 166 | 1 | 3.51632323942842e-25 | 1.75816161971421e-25 | 167 | 1 | 4.55912279997202e-25 | 2.27956139998601e-25 | 168 | 1 | 5.15819701140894e-25 | 2.57909850570447e-25 | 169 | 1 | 7.27706727876595e-25 | 3.63853363938298e-25 | 170 | 1 | 1.06281557480367e-24 | 5.31407787401833e-25 | 171 | 1 | 1.7928010413435e-24 | 8.96400520671749e-25 | 172 | 1 | 2.74189373521025e-24 | 1.37094686760513e-24 | 173 | 1 | 4.59570761983924e-24 | 2.29785380991962e-24 | 174 | 1 | 7.62741772069899e-24 | 3.81370886034949e-24 | 175 | 1 | 1.38137804419355e-23 | 6.90689022096776e-24 | 176 | 1 | 2.39458919297368e-23 | 1.19729459648684e-23 | 177 | 1 | 4.31031800129874e-23 | 2.15515900064937e-23 | 178 | 1 | 7.56264344982637e-23 | 3.78132172491318e-23 | 179 | 1 | 1.34126329787318e-22 | 6.70631648936591e-23 | 180 | 1 | 2.35697046355989e-22 | 1.17848523177994e-22 | 181 | 1 | 5.88359061240031e-24 | 2.94179530620015e-24 | 182 | 1 | 9.58049094750251e-24 | 4.79024547375125e-24 | 183 | 1 | 5.17151176058483e-24 | 2.58575588029241e-24 | 184 | 1 | 6.96683472245262e-24 | 3.48341736122631e-24 | 185 | 1 | 1.17302109158895e-23 | 5.86510545794473e-24 | 186 | 1 | 1.70867244167257e-23 | 8.54336220836287e-24 | 187 | 1 | 3.07982090713118e-23 | 1.53991045356559e-23 | 188 | 1 | 5.06963877670178e-23 | 2.53481938835089e-23 | 189 | 1 | 9.22596937974441e-23 | 4.61298468987221e-23 | 190 | 1 | 1.5895316880243e-22 | 7.9476584401215e-23 | 191 | 1 | 2.40834201473648e-22 | 1.20417100736824e-22 | 192 | 1 | 4.19435847574246e-22 | 2.09717923787123e-22 | 193 | 1 | 6.99084541708899e-22 | 3.4954227085445e-22 | 194 | 1 | 1.17937410326691e-21 | 5.89687051633454e-22 | 195 | 1 | 2.13037733273484e-21 | 1.06518866636742e-21 | 196 | 1 | 3.6282862711998e-21 | 1.8141431355999e-21 | 197 | 1 | 5.53946783475349e-21 | 2.76973391737675e-21 | 198 | 1 | 9.75917593224575e-21 | 4.87958796612288e-21 | 199 | 1 | 1.77403196665458e-20 | 8.8701598332729e-21 | 200 | 1 | 3.19358486830702e-20 | 1.59679243415351e-20 | 201 | 1 | 5.26440409422563e-20 | 2.63220204711281e-20 | 202 | 1 | 9.44265938345041e-20 | 4.72132969172521e-20 | 203 | 1 | 1.68484978055801e-19 | 8.42424890279004e-20 | 204 | 1 | 3.01476997559147e-19 | 1.50738498779574e-19 | 205 | 1 | 4.87883806855453e-21 | 2.43941903427727e-21 | 206 | 1 | 8.52361292659668e-21 | 4.26180646329834e-21 | 207 | 1 | 5.04682426131729e-21 | 2.52341213065865e-21 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9.89970791931324e-18 | 226 | 1 | 3.42215878643288e-17 | 1.71107939321644e-17 | 227 | 1 | 5.59271059520339e-17 | 2.79635529760169e-17 | 228 | 1 | 9.73065558180407e-17 | 4.86532779090203e-17 | 229 | 1 | 1.66518546133117e-18 | 8.32592730665585e-19 | 230 | 1 | 2.91653081867284e-18 | 1.45826540933642e-18 | 231 | 1 | 2.22779417548737e-18 | 1.11389708774368e-18 | 232 | 1 | 3.19020879820832e-18 | 1.59510439910416e-18 | 233 | 1 | 5.4231514979966e-18 | 2.7115757489983e-18 | 234 | 1 | 7.95231871545924e-18 | 3.97615935772962e-18 | 235 | 1 | 1.20577087990803e-17 | 6.02885439954013e-18 | 236 | 1 | 2.0076467307241e-17 | 1.00382336536205e-17 | 237 | 1 | 3.42571510406014e-17 | 1.71285755203007e-17 | 238 | 1 | 5.87967704072149e-17 | 2.93983852036074e-17 | 239 | 1 | 9.6412029717611e-17 | 4.82060148588055e-17 | 240 | 1 | 1.64969406584161e-16 | 8.24847032920806e-17 | 241 | 1 | 2.79502105834118e-16 | 1.39751052917059e-16 | 242 | 1 | 4.63720775131475e-16 | 2.31860387565738e-16 | 243 | 1 | 7.90485550381128e-16 | 3.95242775190564e-16 | 244 | 1 | 1.30013141116121e-15 | 6.50065705580603e-16 | 245 | 0.999999999999999 | 2.05143297883649e-15 | 1.02571648941824e-15 | 246 | 0.999999999999998 | 3.39373954193663e-15 | 1.69686977096832e-15 | 247 | 0.999999999999997 | 5.51339141195287e-15 | 2.75669570597644e-15 | 248 | 0.999999999999995 | 9.19151077581607e-15 | 4.59575538790804e-15 | 249 | 0.999999999999994 | 1.30198338485144e-14 | 6.50991692425718e-15 | 250 | 0.99999999999999 | 2.1512554962284e-14 | 1.0756277481142e-14 | 251 | 0.999999999999983 | 3.37399204762765e-14 | 1.68699602381382e-14 | 252 | 0.999999999999972 | 5.59082408245601e-14 | 2.795412041228e-14 | 253 | 0.999999999999998 | 3.65176693334019e-15 | 1.8258834666701e-15 | 254 | 0.999999999999997 | 6.18653116470533e-15 | 3.09326558235266e-15 | 255 | 0.999999999999997 | 5.06580484853063e-15 | 2.53290242426532e-15 | 256 | 0.999999999999996 | 6.97825278547533e-15 | 3.48912639273767e-15 | 257 | 0.999999999999994 | 1.17719279385525e-14 | 5.88596396927625e-15 | 258 | 0.999999999999992 | 1.61468011659586e-14 | 8.07340058297931e-15 | 259 | 0.99999999999999 | 2.18332819856049e-14 | 1.09166409928024e-14 | 260 | 0.999999999999984 | 3.29531594320504e-14 | 1.64765797160252e-14 | 261 | 0.999999999999975 | 5.01799984126426e-14 | 2.50899992063213e-14 | 262 | 0.99999999999996 | 8.05559889920286e-14 | 4.02779944960143e-14 | 263 | 0.999999999999941 | 1.18117791766407e-13 | 5.90588958832037e-14 | 264 | 0.999999999999904 | 1.9120220542171e-13 | 9.56011027108548e-14 | 265 | 0.999999999999844 | 3.11248077276379e-13 | 1.5562403863819e-13 | 266 | 0.999999999999762 | 4.76998710302612e-13 | 2.38499355151306e-13 | 267 | 0.999999999999617 | 7.65694013531866e-13 | 3.82847006765933e-13 | 268 | 0.999999999999407 | 1.1865883619039e-12 | 5.93294180951951e-13 | 269 | 0.999999999999146 | 1.70817336617228e-12 | 8.5408668308614e-13 | 270 | 0.99999999999868 | 2.63860733564912e-12 | 1.31930366782456e-12 | 271 | 0.999999999998162 | 3.67656669584071e-12 | 1.83828334792035e-12 | 272 | 0.999999999997122 | 5.75570253512665e-12 | 2.87785126756333e-12 | 273 | 0.99999999999616 | 7.67839380406956e-12 | 3.83919690203478e-12 | 274 | 0.999999999994 | 1.2001673899365e-11 | 6.00083694968251e-12 | 275 | 0.999999999991031 | 1.79370491207222e-11 | 8.96852456036111e-12 | 276 | 0.999999999986033 | 2.79348539191865e-11 | 1.39674269595933e-11 | 277 | 0.999999999999 | 1.99895163448373e-12 | 9.99475817241863e-13 | 278 | 0.999999999998395 | 3.20951630154555e-12 | 1.60475815077277e-12 | 279 | 0.999999999999391 | 1.21699872684888e-12 | 6.0849936342444e-13 | 280 | 0.999999999999158 | 1.68300443536364e-12 | 8.41502217681818e-13 | 281 | 0.99999999999873 | 2.54145193852905e-12 | 1.27072596926452e-12 | 282 | 0.999999999998475 | 3.04980984853559e-12 | 1.52490492426779e-12 | 283 | 0.999999999998609 | 2.78204547486199e-12 | 1.391022737431e-12 | 284 | 0.999999999997964 | 4.07191538195563e-12 | 2.03595769097781e-12 | 285 | 0.99999999999736 | 5.27831361719658e-12 | 2.63915680859829e-12 | 286 | 0.999999999995854 | 8.29134593296053e-12 | 4.14567296648026e-12 | 287 | 0.999999999993964 | 1.20711819284389e-11 | 6.03559096421945e-12 | 288 | 0.999999999990463 | 1.90747934839559e-11 | 9.53739674197797e-12 | 289 | 0.999999999985436 | 2.91279292518729e-11 | 1.45639646259364e-11 | 290 | 0.999999999977812 | 4.43758952779772e-11 | 2.21879476389886e-11 | 291 | 0.9999999999678 | 6.44017408940762e-11 | 3.22008704470381e-11 | 292 | 0.999999999951786 | 9.6428382334937e-11 | 4.82141911674685e-11 | 293 | 0.999999999934453 | 1.31094356771308e-10 | 6.55471783856541e-11 | 294 | 0.999999999900115 | 1.9976988079028e-10 | 9.988494039514e-11 | 295 | 0.99999999987329 | 2.53421426166333e-10 | 1.26710713083167e-10 | 296 | 0.999999999807004 | 3.85990971285514e-10 | 1.92995485642757e-10 | 297 | 0.999999999739153 | 5.21693311951006e-10 | 2.60846655975503e-10 | 298 | 0.999999999604929 | 7.90142876817134e-10 | 3.95071438408567e-10 | 299 | 0.999999999420264 | 1.15947130344846e-09 | 5.79735651724231e-10 | 300 | 0.999999999129157 | 1.7416867327356e-09 | 8.70843366367802e-10 | 301 | 0.99999999990918 | 1.81639875686803e-10 | 9.08199378434013e-11 | 302 | 0.99999999986147 | 2.77058524363021e-10 | 1.38529262181511e-10 | 303 | 0.999999999933542 | 1.32915460193306e-10 | 6.6457730096653e-11 | 304 | 0.99999999990587 | 1.88259365905134e-10 | 9.41296829525671e-11 | 305 | 0.999999999882682 | 2.34636529602813e-10 | 1.17318264801407e-10 | 306 | 0.999999999853835 | 2.92330128513317e-10 | 1.46165064256659e-10 | 307 | 0.999999999832647 | 3.3470651128511e-10 | 1.67353255642555e-10 | 308 | 0.999999999747884 | 5.0423124943592e-10 | 2.5211562471796e-10 | 309 | 0.999999999717966 | 5.64068836385178e-10 | 2.82034418192589e-10 | 310 | 0.999999999569141 | 8.61717390734362e-10 | 4.30858695367181e-10 | 311 | 0.999999999340506 | 1.31898758573557e-09 | 6.59493792867785e-10 | 312 | 0.99999999899337 | 2.01326202325164e-09 | 1.00663101162582e-09 | 313 | 0.999999998473452 | 3.05309666925251e-09 | 1.52654833462625e-09 | 314 | 0.999999997686516 | 4.62696734399973e-09 | 2.31348367199986e-09 | 315 | 0.99999999699737 | 6.00526005570044e-09 | 3.00263002785022e-09 | 316 | 0.999999995517364 | 8.965272450149e-09 | 4.4826362250745e-09 | 317 | 0.999999995691272 | 8.6174560446993e-09 | 4.30872802234965e-09 | 318 | 0.999999993567706 | 1.28645885584694e-08 | 6.43229427923469e-09 | 319 | 0.99999999100732 | 1.79853604638562e-08 | 8.99268023192811e-09 | 320 | 0.99999998693662 | 2.61267588698735e-08 | 1.30633794349367e-08 | 321 | 0.99999998682694 | 2.63461199367541e-08 | 1.31730599683771e-08 | 322 | 0.999999980678111 | 3.86437771326492e-08 | 1.93218885663246e-08 | 323 | 0.999999973432068 | 5.31358646763087e-08 | 2.65679323381543e-08 | 324 | 0.999999962844103 | 7.43117937054219e-08 | 3.71558968527109e-08 | 325 | 0.999999993193686 | 1.36126281747725e-08 | 6.80631408738623e-09 | 326 | 0.999999990756516 | 1.84869677845293e-08 | 9.24348389226463e-09 | 327 | 0.999999996232669 | 7.53466276943644e-09 | 3.76733138471822e-09 | 328 | 0.999999994300269 | 1.13994623294048e-08 | 5.69973116470242e-09 | 329 | 0.99999999366883 | 1.26623405980972e-08 | 6.3311702990486e-09 | 330 | 0.999999991501499 | 1.69970019800681e-08 | 8.49850099003407e-09 | 331 | 0.999999990300336 | 1.93993283103848e-08 | 9.69966415519242e-09 | 332 | 0.999999985309214 | 2.93815727152619e-08 | 1.4690786357631e-08 | 333 | 0.999999987712791 | 2.45744176770226e-08 | 1.22872088385113e-08 | 334 | 0.999999981487288 | 3.70254250550689e-08 | 1.85127125275344e-08 | 335 | 0.999999974008902 | 5.19821958444751e-08 | 2.59910979222375e-08 | 336 | 0.99999996244407 | 7.51118588944554e-08 | 3.75559294472277e-08 | 337 | 0.999999944190649 | 1.11618702624186e-07 | 5.58093513120931e-08 | 338 | 0.999999918950973 | 1.62098054102825e-07 | 8.10490270514126e-08 | 339 | 0.999999892330958 | 2.15338084124071e-07 | 1.07669042062036e-07 | 340 | 0.999999841153342 | 3.17693315489843e-07 | 1.58846657744922e-07 | 341 | 0.999999825808089 | 3.48383822560629e-07 | 1.74191911280314e-07 | 342 | 0.99999974840306 | 5.03193878237074e-07 | 2.51596939118537e-07 | 343 | 0.99999967741668 | 6.45166638104833e-07 | 3.22583319052417e-07 | 344 | 0.999999553601075 | 8.92797849727634e-07 | 4.46398924863817e-07 | 345 | 0.999999470651445 | 1.05869711068897e-06 | 5.29348555344484e-07 | 346 | 0.99999926984435 | 1.46031130035241e-06 | 7.30155650176207e-07 | 347 | 0.999999123120728 | 1.75375854482685e-06 | 8.76879272413427e-07 | 348 | 0.999998836808002 | 2.3263839951707e-06 | 1.16319199758535e-06 | 349 | 0.999999783014798 | 4.3397040451262e-07 | 2.1698520225631e-07 | 350 | 0.999999748710448 | 5.02579105115865e-07 | 2.51289552557932e-07 | 351 | 0.999999826601084 | 3.46797832559737e-07 | 1.73398916279869e-07 | 352 | 0.999999741767944 | 5.16464112875866e-07 | 2.58232056437933e-07 | 353 | 0.99999962543938 | 7.49121239627419e-07 | 3.74560619813709e-07 | 354 | 0.999999451989701 | 1.09602059742338e-06 | 5.48010298711691e-07 | 355 | 0.999999272309354 | 1.45538129132213e-06 | 7.27690645661063e-07 | 356 | 0.99999893401425 | 2.131971499014e-06 | 1.065985749507e-06 | 357 | 0.999999566388802 | 8.67222395946816e-07 | 4.33611197973408e-07 | 358 | 0.999999358647624 | 1.28270475125642e-06 | 6.41352375628208e-07 | 359 | 0.999999116057397 | 1.76788520577058e-06 | 8.83942602885291e-07 | 360 | 0.999998837205372 | 2.32558925536139e-06 | 1.1627946276807e-06 | 361 | 0.99999829479409 | 3.41041182074086e-06 | 1.70520591037043e-06 | 362 | 0.999997609428052 | 4.78114389594331e-06 | 2.39057194797165e-06 | 363 | 0.999996645071951 | 6.70985609788272e-06 | 3.35492804894136e-06 | 364 | 0.999995248939756 | 9.50212048711721e-06 | 4.75106024355861e-06 | 365 | 0.999993936404006 | 1.21271919887315e-05 | 6.06359599436576e-06 | 366 | 0.999991576563498 | 1.68468730034647e-05 | 8.42343650173233e-06 | 367 | 0.999990820491497 | 1.83590170056725e-05 | 9.17950850283625e-06 | 368 | 0.999987567983802 | 2.4864032395775e-05 | 1.24320161978875e-05 | 369 | 0.999986228180136 | 2.75436397271915e-05 | 1.37718198635958e-05 | 370 | 0.999982473113187 | 3.50537736256724e-05 | 1.75268868128362e-05 | 371 | 0.999977882621102 | 4.4234757795329e-05 | 2.21173788976645e-05 | 372 | 0.99997358116481 | 5.28376703800136e-05 | 2.64188351900068e-05 | 373 | 0.999997229825222 | 5.54034955601786e-06 | 2.77017477800893e-06 | 374 | 0.999997239954737 | 5.52009052638073e-06 | 2.76004526319036e-06 | 375 | 0.999996515476818 | 6.96904636373057e-06 | 3.48452318186529e-06 | 376 | 0.999995014363912 | 9.97127217515678e-06 | 4.98563608757839e-06 | 377 | 0.999992806843723 | 1.43863125529618e-05 | 7.19315627648088e-06 | 378 | 0.999989569309803 | 2.08613803938983e-05 | 1.04306901969491e-05 | 379 | 0.999985703648542 | 2.85927029165448e-05 | 1.42963514582724e-05 | 380 | 0.999979618192538 | 4.07636149243445e-05 | 2.03818074621722e-05 | 381 | 0.9999762118426 | 4.75763147995036e-05 | 2.37881573997518e-05 | 382 | 0.999966383389334 | 6.72332213316236e-05 | 3.36166106658118e-05 | 383 | 0.99995311087576 | 9.37782484805582e-05 | 4.68891242402791e-05 | 384 | 0.999937591984143 | 0.000124816031714507 | 6.24080158572534e-05 | 385 | 0.999913001815317 | 0.000173996369366172 | 8.6998184683086e-05 | 386 | 0.99988305194578 | 0.000233896108440975 | 0.000116948054220487 | 387 | 0.999843017454043 | 0.000313965091913812 | 0.000156982545956906 | 388 | 0.99978616806591 | 0.000427663868179327 | 0.000213831934089664 | 389 | 0.999747254202928 | 0.000505491594143898 | 0.000252745797071949 | 390 | 0.999663217000575 | 0.000673565998850053 | 0.000336782999425026 | 391 | 0.999576152425378 | 0.000847695149243166 | 0.000423847574621583 | 392 | 0.99946473857367 | 0.00107052285265914 | 0.000535261426329572 | 393 | 0.99943504277986 | 0.00112991444028024 | 0.00056495722014012 | 394 | 0.999289068203626 | 0.0014218635927477 | 0.000710931796373848 | 395 | 0.999088122066246 | 0.00182375586750701 | 0.000911877933753503 | 396 | 0.998981410906628 | 0.00203717818674474 | 0.00101858909337237 | 397 | 0.999884233709714 | 0.000231532580572711 | 0.000115766290286355 | 398 | 0.999888204426819 | 0.000223591146362651 | 0.000111795573181325 | 399 | 0.999897842949246 | 0.000204314101508637 | 0.000102157050754319 | 400 | 0.999859457561429 | 0.000281084877142073 | 0.000140542438571037 | 401 | 0.999801634972131 | 0.000396730055737154 | 0.000198365027868577 | 402 | 0.99972459772555 | 0.000550804548899597 | 0.000275402274449799 | 403 | 0.99966701680242 | 0.000665966395160583 | 0.000332983197580291 | 404 | 0.999540973683907 | 0.000918052632185048 | 0.000459026316092524 | 405 | 0.99958943170085 | 0.000821136598300486 | 0.000410568299150243 | 406 | 0.999429226683171 | 0.00114154663365774 | 0.000570773316828869 | 407 | 0.999221913867924 | 0.0015561722641519 | 0.000778086132075949 | 408 | 0.998997134696512 | 0.00200573060697614 | 0.00100286530348807 | 409 | 0.998673724198903 | 0.00265255160219342 | 0.00132627580109671 | 410 | 0.99823578776015 | 0.00352842447969968 | 0.00176421223984984 | 411 | 0.997703109213082 | 0.00459378157383623 | 0.00229689078691812 | 412 | 0.997243014762769 | 0.00551397047446209 | 0.00275698523723104 | 413 | 0.99660630874654 | 0.0067873825069194 | 0.0033936912534597 | 414 | 0.995529186508664 | 0.00894162698267252 | 0.00447081349133626 | 415 | 0.998588878795122 | 0.00282224240975667 | 0.00141112120487834 | 416 | 0.998142842524387 | 0.00371431495122655 | 0.00185715747561327 | 417 | 0.997823965014025 | 0.00435206997195036 | 0.00217603498597518 | 418 | 0.99750593012281 | 0.0049881397543812 | 0.0024940698771906 | 419 | 0.996769438166477 | 0.0064611236670456 | 0.0032305618335228 | 420 | 0.996003334062567 | 0.0079933318748665 | 0.00399666593743325 | 421 | 0.99474239025641 | 0.0105152194871808 | 0.00525760974359042 | 422 | 0.993011247400217 | 0.0139775051995659 | 0.00698875259978294 | 423 | 0.990794853910905 | 0.0184102921781908 | 0.00920514608909539 | 424 | 0.98843445305294 | 0.0231310938941181 | 0.0115655469470591 | 425 | 0.985018386310869 | 0.0299632273782629 | 0.0149816136891314 | 426 | 0.98071335883936 | 0.0385732823212811 | 0.0192866411606405 | 427 | 0.996487367895377 | 0.00702526420924507 | 0.00351263210462253 | 428 | 0.995261233065073 | 0.00947753386985348 | 0.00473876693492674 | 429 | 0.99560941511436 | 0.00878116977128166 | 0.00439058488564083 | 430 | 0.994134079872245 | 0.0117318402555094 | 0.00586592012775468 | 431 | 0.992072901831692 | 0.015854196336616 | 0.00792709816830801 | 432 | 0.990426935319358 | 0.0191461293612838 | 0.0095730646806419 | 433 | 0.987287024738127 | 0.0254259505237469 | 0.0127129752618735 | 434 | 0.98351443867274 | 0.0329711226545198 | 0.0164855613272599 | 435 | 0.978396237891789 | 0.0432075242164226 | 0.0216037621082113 | 436 | 0.972088845730127 | 0.0558223085397459 | 0.0279111542698729 | 437 | 0.96447503198054 | 0.0710499360389213 | 0.0355249680194607 | 438 | 0.955091347494245 | 0.089817305011511 | 0.0449086525057555 | 439 | 0.99445882125194 | 0.0110823574961196 | 0.00554117874805978 | 440 | 0.992850276213956 | 0.0142994475720877 | 0.00714972378604385 | 441 | 0.995899804974814 | 0.0082003900503717 | 0.00410019502518585 | 442 | 0.99432612979943 | 0.0113477404011407 | 0.00567387020057037 | 443 | 0.992766112426195 | 0.0144677751476098 | 0.00723388757380489 | 444 | 0.99019813895449 | 0.0196037220910178 | 0.00980186104550892 | 445 | 0.98891245992972 | 0.0221750801405587 | 0.0110875400702794 | 446 | 0.984729454677371 | 0.0305410906452576 | 0.0152705453226288 | 447 | 0.979506848916696 | 0.0409863021666088 | 0.0204931510833044 | 448 | 0.973631805678187 | 0.0527363886436252 | 0.0263681943218126 | 449 | 0.967828635964647 | 0.064342728070706 | 0.032171364035353 | 450 | 0.959197210757482 | 0.0816055784850364 | 0.0408027892425182 | 451 | 0.997929206240733 | 0.00414158751853407 | 0.00207079375926704 | 452 | 0.99681708616082 | 0.00636582767836136 | 0.00318291383918068 | 453 | 0.99584461332118 | 0.00831077335764199 | 0.00415538667882099 | 454 | 0.995870407379371 | 0.00825918524125732 | 0.00412959262062866 | 455 | 0.993773975138505 | 0.0124520497229891 | 0.00622602486149457 | 456 | 0.993351002910182 | 0.0132979941796357 | 0.00664899708981787 | 457 | 0.990496610683641 | 0.019006778632717 | 0.0095033893163585 | 458 | 0.98592848972235 | 0.0281430205553008 | 0.0140715102776504 | 459 | 0.980128247647779 | 0.0397435047044425 | 0.0198717523522212 | 460 | 0.97135127030925 | 0.0572974593814984 | 0.0286487296907492 | 461 | 0.988858768766973 | 0.0222824624660537 | 0.0111412312330268 | 462 | 0.983388279044854 | 0.0332234419102923 | 0.0166117209551461 | 463 | 0.986510486195153 | 0.0269790276096943 | 0.0134895138048472 | 464 | 0.987270719819904 | 0.0254585603601927 | 0.0127292801800964 | 465 | 0.981219326165296 | 0.037561347669408 | 0.018780673834704 | 466 | 0.972346157666584 | 0.0553076846668317 | 0.0276538423334159 | 467 | 0.968034446971291 | 0.0639311060574176 | 0.0319655530287088 | 468 | 0.9538030413489 | 0.0923939173022013 | 0.0461969586511006 | 469 | 0.942748070472424 | 0.114503859055153 | 0.0572519295275764 | 470 | 0.927986141836404 | 0.144027716327192 | 0.072013858163596 | 471 | 0.906770341840749 | 0.186459316318502 | 0.0932296581592508 | 472 | 0.892670554237142 | 0.214658891525717 | 0.107329445762858 | 473 | 0.96645043451495 | 0.067099130970099 | 0.0335495654850495 | 474 | 0.978661890362231 | 0.0426762192755377 | 0.0213381096377689 | 475 | 0.96654180891482 | 0.0669163821703609 | 0.0334581910851805 | 476 | 0.95373583033336 | 0.0925283393332786 | 0.0462641696666393 | 477 | 0.923619665779524 | 0.152760668440953 | 0.0763803342204764 | 478 | 0.874239157784243 | 0.251521684431513 | 0.125760842215757 | 479 | 0.806509446168517 | 0.386981107662967 | 0.193490553831483 | 480 | 0.835740178260343 | 0.328519643479315 | 0.164259821739657 | 481 | 0.788951758682998 | 0.422096482634005 | 0.211048241317002 | 482 | 0.74118906474778 | 0.517621870504439 | 0.258810935252219 | 483 | 0.62051934860189 | 0.75896130279622 | 0.37948065139811 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | Description | # significant tests | % significant tests | OK/NOK | 1% type I error level | 413 | 0.869473684210526 | NOK | 5% type I error level | 446 | 0.938947368421053 | NOK | 10% type I error level | 459 | 0.966315789473684 | NOK |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/10dhe61296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/10dhe61296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/1q0qf1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/1q0qf1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/2k3ct1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/2k3ct1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/3jcwx1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/3jcwx1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/4al2h1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/4al2h1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/5lee41296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/5lee41296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/6y5t41296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/6y5t41296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/7h0ep1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/7h0ep1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/8ug2e1296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/8ug2e1296726865.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/9iqh61296726865.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Feb/03/t1296727039r7sh0980vowsa9x/9iqh61296726865.ps (open in new window) |
| | Parameters (Session): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = Linear Trend ; | | Parameters (R input): | par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = 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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