| Multiple Linear Regression - Estimated Regression Equation |
| Apple[t] = -132.456012888064 -35.1959474240156Omzetgroei[t] + 75.106292792514Omzetgroei_iPhone[t] + 98.1776908801455Omzetgroei_iPad[t] -3.56318540919011e-07Volume[t] + 5.89684838683875Microsoft[t] -0.135120938035962Consumentenvertrouwen[t] + 1.48782043084434t + 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) | -132.456012888064 | 10.302002 | -12.8573 | 0 | 0 |
| Omzetgroei | -35.1959474240156 | 6.039471 | -5.8277 | 0 | 0 |
| Omzetgroei_iPhone | 75.106292792514 | 11.216498 | 6.6961 | 0 | 0 |
| Omzetgroei_iPad | 98.1776908801455 | 11.614409 | 8.4531 | 0 | 0 |
| Volume | -3.56318540919011e-07 | 0 | -2.5224 | 0.013099 | 0.006549 |
| Microsoft | 5.89684838683875 | 0.553177 | 10.66 | 0 | 0 |
| Consumentenvertrouwen | -0.135120938035962 | 0.100211 | -1.3484 | 0.180335 | 0.090168 |
| t | 1.48782043084434 | 0.07991 | 18.6187 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.984436739872282 |
| R-squared | 0.969115694810368 |
| Adjusted R-squared | 0.967132299064244 |
| F-TEST (value) | 488.614386062204 |
| F-TEST (DF numerator) | 7 |
| F-TEST (DF denominator) | 109 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 13.7740515450263 |
| Sum Squared Residuals | 20679.9700601897 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 10.81 | -1.87384787361592 | 12.6838478736159 |
| 2 | 9.12 | -0.696341417347963 | 9.81634141734796 |
| 3 | 11.03 | -11.8245020789032 | 22.8545020789032 |
| 4 | 12.74 | 17.9034929800672 | -5.1634929800672 |
| 5 | 9.98 | 24.8126323705191 | -14.8326323705191 |
| 6 | 11.62 | 34.5795289163873 | -22.9595289163873 |
| 7 | 9.4 | 21.028405793062 | -11.628405793062 |
| 8 | 9.27 | 3.67377657012857 | 5.59622342987143 |
| 9 | 7.76 | -8.44349654928002 | 16.20349654928 |
| 10 | 8.78 | -9.011193528412 | 17.791193528412 |
| 11 | 10.65 | 7.74749944753186 | 2.90250055246814 |
| 12 | 10.95 | 13.1056580441262 | -2.15565804412618 |
| 13 | 12.36 | 17.082120012113 | -4.72212001211301 |
| 14 | 10.85 | 6.15877675742573 | 4.69122324257427 |
| 15 | 11.84 | 12.285916814422 | -0.445916814422048 |
| 16 | 12.14 | -2.72903374441993 | 14.8690337444199 |
| 17 | 11.65 | -4.45924946072696 | 16.109249460727 |
| 18 | 8.86 | 4.48802916914964 | 4.37197083085036 |
| 19 | 7.63 | -8.77652639443607 | 16.4065263944361 |
| 20 | 7.38 | -2.51836880982148 | 9.89836880982148 |
| 21 | 7.25 | -13.9681848380092 | 21.2181848380092 |
| 22 | 8.03 | 9.46892508104644 | -1.43892508104644 |
| 23 | 7.75 | 20.9943146338078 | -13.2443146338078 |
| 24 | 7.16 | 9.06385482292435 | -1.90385482292435 |
| 25 | 7.18 | 2.73327412420405 | 4.44672587579595 |
| 26 | 7.51 | 7.33281343304369 | 0.177186566956308 |
| 27 | 7.07 | 11.9873686018732 | -4.91736860187317 |
| 28 | 7.11 | 11.5321677602838 | -4.42216776028384 |
| 29 | 8.98 | 6.33389411342526 | 2.64610588657474 |
| 30 | 9.53 | 15.6739777983254 | -6.14397779832542 |
| 31 | 10.54 | 18.5069985170053 | -7.96699851700535 |
| 32 | 11.31 | 20.3135238975293 | -9.00352389752929 |
| 33 | 10.36 | 27.8665127632704 | -17.5065127632705 |
| 34 | 11.44 | 14.8468899485709 | -3.40688994857093 |
| 35 | 10.45 | 13.4450060471332 | -2.99500604713323 |
| 36 | 10.69 | 23.0695494673374 | -12.3795494673374 |
| 37 | 11.28 | 25.7864293629237 | -14.5064293629237 |
| 38 | 11.96 | 24.5271266268066 | -12.5671266268066 |
| 39 | 13.52 | 15.369862599483 | -1.84986259948302 |
| 40 | 12.89 | 22.5933172097354 | -9.70331720973538 |
| 41 | 14.03 | 26.7658654525098 | -12.7358654525098 |
| 42 | 16.27 | 36.2851935486963 | -20.0151935486963 |
| 43 | 16.17 | 33.8681959221929 | -17.6981959221929 |
| 44 | 17.25 | 32.2249937945656 | -14.9749937945656 |
| 45 | 19.38 | 35.5785166937051 | -16.1985166937051 |
| 46 | 26.2 | 20.7717413321251 | 5.42825866787494 |
| 47 | 33.53 | 30.4927264118225 | 3.03727358817749 |
| 48 | 32.2 | 31.9490090665818 | 0.250990933418225 |
| 49 | 38.45 | 24.1559001184319 | 14.2940998815681 |
| 50 | 44.86 | 22.8203020450774 | 22.0396979549226 |
| 51 | 41.67 | 25.1353743599591 | 16.5346256400409 |
| 52 | 36.06 | 28.42437616147 | 7.63562383853002 |
| 53 | 39.76 | 36.3332619848631 | 3.42673801513693 |
| 54 | 36.81 | 33.5146815864095 | 3.29531841359055 |
| 55 | 42.65 | 45.9255925532733 | -3.27559255327335 |
| 56 | 46.89 | 58.4195012266221 | -11.5295012266221 |
| 57 | 53.61 | 51.1138399492462 | 2.49616005075381 |
| 58 | 57.59 | 45.7793615174686 | 11.8106384825314 |
| 59 | 67.82 | 59.9355956195352 | 7.88440438046478 |
| 60 | 71.89 | 52.6450461671659 | 19.2449538328341 |
| 61 | 75.51 | 68.9830073442615 | 6.52699265573855 |
| 62 | 68.49 | 65.6853844396575 | 2.80461556034251 |
| 63 | 62.72 | 68.4841289094483 | -5.76412890944833 |
| 64 | 70.39 | 56.0592236434632 | 14.3307763565368 |
| 65 | 59.77 | 54.784936184807 | 4.985063815193 |
| 66 | 57.27 | 58.6423140454912 | -1.37231404549121 |
| 67 | 67.96 | 60.6048300215046 | 7.3551699784954 |
| 68 | 67.85 | 73.9215533774861 | -6.07155337748609 |
| 69 | 76.98 | 82.283267139184 | -5.30326713918406 |
| 70 | 81.08 | 96.9091518675447 | -15.8291518675447 |
| 71 | 91.66 | 102.14017856041 | -10.4801785604105 |
| 72 | 84.84 | 103.24342438359 | -18.4034243835898 |
| 73 | 85.73 | 104.62941104787 | -18.8994110478695 |
| 74 | 84.61 | 99.8807987398922 | -15.2707987398922 |
| 75 | 92.91 | 100.374211535294 | -7.46421153529386 |
| 76 | 99.8 | 111.97622807706 | -12.1762280770598 |
| 77 | 121.19 | 115.986867157956 | 5.20313284204406 |
| 78 | 122.04 | 127.687049988085 | -5.64704998808459 |
| 79 | 131.76 | 128.502876773083 | 3.25712322691724 |
| 80 | 138.48 | 131.616522245755 | 6.86347775424504 |
| 81 | 153.47 | 137.531519293286 | 15.9384807067142 |
| 82 | 189.95 | 185.1954588106 | 4.75454118940041 |
| 83 | 182.22 | 167.334363465039 | 14.8856365349614 |
| 84 | 198.08 | 184.797127804066 | 13.2828721959338 |
| 85 | 135.36 | 161.019072281618 | -25.6590722816176 |
| 86 | 125.02 | 140.204125236087 | -15.184125236087 |
| 87 | 143.5 | 151.258864524392 | -7.75886452439173 |
| 88 | 173.95 | 149.234118861979 | 24.7158811380214 |
| 89 | 188.75 | 153.086450336237 | 35.6635496637631 |
| 90 | 167.44 | 150.371435611329 | 17.0685643886708 |
| 91 | 158.95 | 157.466612563758 | 1.4833874362416 |
| 92 | 169.53 | 170.879558491093 | -1.3495584910935 |
| 93 | 113.66 | 161.336946005114 | -47.6769460051138 |
| 94 | 107.59 | 109.05551455419 | -1.46551455419034 |
| 95 | 92.67 | 106.45246830808 | -13.7824683080803 |
| 96 | 85.35 | 108.403079380345 | -23.0530793803452 |
| 97 | 90.13 | 101.440734342265 | -11.3107343422648 |
| 98 | 89.31 | 97.4450804694233 | -8.13508046942326 |
| 99 | 105.12 | 111.846032938571 | -6.72603293857052 |
| 100 | 125.83 | 129.924009834042 | -4.09400983404163 |
| 101 | 135.81 | 135.041733301068 | 0.768266698932307 |
| 102 | 142.43 | 152.449590568733 | -10.0195905687326 |
| 103 | 163.39 | 144.696770920484 | 18.6932290795164 |
| 104 | 168.21 | 153.915531410027 | 14.294468589973 |
| 105 | 185.35 | 160.440941696091 | 24.9090583039088 |
| 106 | 188.5 | 182.989264219611 | 5.51073578038926 |
| 107 | 199.91 | 196.917192380859 | 2.99280761914123 |
| 108 | 210.73 | 203.046774386636 | 7.68322561336415 |
| 109 | 192.06 | 193.296248672735 | -1.23624867273481 |
| 110 | 204.62 | 203.182952371273 | 1.43704762872715 |
| 111 | 235 | 208.064762318805 | 26.935237681195 |
| 112 | 261.09 | 280.453843601117 | -19.3638436011166 |
| 113 | 256.88 | 250.241209268361 | 6.63879073163879 |
| 114 | 251.53 | 238.560290149792 | 12.9697098502083 |
| 115 | 257.25 | 264.520483116307 | -7.270483116307 |
| 116 | 243.1 | 256.769499297147 | -13.6694992971473 |
| 117 | 283.75 | 263.03499922719 | 20.7150007728095 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 11 | 0.00209111603511316 | 0.00418223207022633 | 0.997908883964887 |
| 12 | 0.000205292640611097 | 0.000410585281222195 | 0.999794707359389 |
| 13 | 3.02374952689576e-05 | 6.04749905379151e-05 | 0.999969762504731 |
| 14 | 2.65306017886598e-06 | 5.30612035773195e-06 | 0.999997346939821 |
| 15 | 2.3152069786842e-07 | 4.63041395736839e-07 | 0.999999768479302 |
| 16 | 2.65278055673481e-08 | 5.30556111346962e-08 | 0.999999973472194 |
| 17 | 2.24333896712527e-09 | 4.48667793425054e-09 | 0.99999999775666 |
| 18 | 5.47241072341187e-09 | 1.09448214468237e-08 | 0.99999999452759 |
| 19 | 1.728813211714e-09 | 3.45762642342801e-09 | 0.999999998271187 |
| 20 | 2.51815580105652e-10 | 5.03631160211304e-10 | 0.999999999748184 |
| 21 | 4.53834352371379e-11 | 9.07668704742758e-11 | 0.999999999954617 |
| 22 | 5.31257183569923e-12 | 1.06251436713985e-11 | 0.999999999994687 |
| 23 | 5.63850237258657e-13 | 1.12770047451731e-12 | 0.999999999999436 |
| 24 | 5.5886391675264e-14 | 1.11772783350528e-13 | 0.999999999999944 |
| 25 | 6.91767410792069e-15 | 1.38353482158414e-14 | 0.999999999999993 |
| 26 | 2.87836360279027e-15 | 5.75672720558054e-15 | 0.999999999999997 |
| 27 | 4.44042493306443e-16 | 8.88084986612887e-16 | 1 |
| 28 | 8.36819064195867e-17 | 1.67363812839173e-16 | 1 |
| 29 | 1.06980664579051e-17 | 2.13961329158102e-17 | 1 |
| 30 | 1.56678830747061e-18 | 3.13357661494121e-18 | 1 |
| 31 | 4.33485563868307e-19 | 8.66971127736614e-19 | 1 |
| 32 | 1.28015662842586e-19 | 2.56031325685173e-19 | 1 |
| 33 | 1.4326657924169e-20 | 2.8653315848338e-20 | 1 |
| 34 | 1.68412646263596e-21 | 3.36825292527192e-21 | 1 |
| 35 | 2.2251029540008e-22 | 4.4502059080016e-22 | 1 |
| 36 | 2.54966286416401e-23 | 5.09932572832803e-23 | 1 |
| 37 | 2.72730125739697e-24 | 5.45460251479393e-24 | 1 |
| 38 | 3.46036371629405e-25 | 6.92072743258809e-25 | 1 |
| 39 | 1.13035323634225e-25 | 2.26070647268451e-25 | 1 |
| 40 | 1.15257098492381e-26 | 2.30514196984762e-26 | 1 |
| 41 | 3.57112633878659e-27 | 7.14225267757317e-27 | 1 |
| 42 | 9.52634497205153e-28 | 1.90526899441031e-27 | 1 |
| 43 | 1.09493672444003e-28 | 2.18987344888005e-28 | 1 |
| 44 | 7.73174922328567e-29 | 1.54634984465713e-28 | 1 |
| 45 | 7.56084926846733e-28 | 1.51216985369347e-27 | 1 |
| 46 | 3.07245039373297e-26 | 6.14490078746595e-26 | 1 |
| 47 | 1.49542544649407e-23 | 2.99085089298815e-23 | 1 |
| 48 | 4.6197762902312e-23 | 9.2395525804624e-23 | 1 |
| 49 | 9.84412755972917e-24 | 1.96882551194583e-23 | 1 |
| 50 | 3.06863371054934e-21 | 6.13726742109869e-21 | 1 |
| 51 | 8.4681150814369e-18 | 1.69362301628738e-17 | 1 |
| 52 | 2.47017604839935e-18 | 4.9403520967987e-18 | 1 |
| 53 | 2.39227307859078e-17 | 4.78454615718156e-17 | 1 |
| 54 | 3.19854275333454e-17 | 6.39708550666908e-17 | 1 |
| 55 | 2.57437644306072e-15 | 5.14875288612145e-15 | 0.999999999999997 |
| 56 | 3.55116421357981e-13 | 7.10232842715963e-13 | 0.999999999999645 |
| 57 | 1.38994548078205e-10 | 2.77989096156409e-10 | 0.999999999861005 |
| 58 | 1.78444915496861e-09 | 3.56889830993723e-09 | 0.99999999821555 |
| 59 | 1.14882186064481e-07 | 2.29764372128962e-07 | 0.999999885117814 |
| 60 | 1.25132287586865e-05 | 2.5026457517373e-05 | 0.999987486771241 |
| 61 | 1.7893358715915e-05 | 3.57867174318299e-05 | 0.999982106641284 |
| 62 | 1.44516297491027e-05 | 2.89032594982055e-05 | 0.999985548370251 |
| 63 | 8.31815018728423e-06 | 1.66363003745685e-05 | 0.999991681849813 |
| 64 | 1.39073266315129e-05 | 2.78146532630257e-05 | 0.999986092673368 |
| 65 | 1.08144442923534e-05 | 2.16288885847068e-05 | 0.999989185555708 |
| 66 | 6.62336561012487e-06 | 1.32467312202497e-05 | 0.99999337663439 |
| 67 | 1.65957092046844e-05 | 3.31914184093688e-05 | 0.999983404290795 |
| 68 | 1.35900279246481e-05 | 2.71800558492963e-05 | 0.999986409972075 |
| 69 | 1.51875253832336e-05 | 3.03750507664671e-05 | 0.999984812474617 |
| 70 | 1.17096876209271e-05 | 2.34193752418541e-05 | 0.99998829031238 |
| 71 | 1.27538319660135e-05 | 2.55076639320271e-05 | 0.999987246168034 |
| 72 | 8.16930707626375e-06 | 1.63386141525275e-05 | 0.999991830692924 |
| 73 | 8.88677228794262e-06 | 1.77735445758852e-05 | 0.999991113227712 |
| 74 | 6.41404627127584e-06 | 1.28280925425517e-05 | 0.999993585953729 |
| 75 | 5.70305796957726e-06 | 1.14061159391545e-05 | 0.99999429694203 |
| 76 | 7.93710856729225e-06 | 1.58742171345845e-05 | 0.999992062891433 |
| 77 | 3.73708379731194e-05 | 7.47416759462387e-05 | 0.999962629162027 |
| 78 | 3.04993427967307e-05 | 6.09986855934615e-05 | 0.999969500657203 |
| 79 | 1.63366997018461e-05 | 3.26733994036922e-05 | 0.999983663300298 |
| 80 | 1.0081146194301e-05 | 2.0162292388602e-05 | 0.999989918853806 |
| 81 | 1.43336764199264e-05 | 2.86673528398528e-05 | 0.99998566632358 |
| 82 | 1.87256085065181e-05 | 3.74512170130363e-05 | 0.999981274391494 |
| 83 | 1.42259309288872e-05 | 2.84518618577743e-05 | 0.999985774069071 |
| 84 | 1.76769322474065e-05 | 3.5353864494813e-05 | 0.999982323067753 |
| 85 | 0.00117580586602677 | 0.00235161173205353 | 0.998824194133973 |
| 86 | 0.00222010606793827 | 0.00444021213587653 | 0.997779893932062 |
| 87 | 0.00184779376905836 | 0.00369558753811672 | 0.998152206230942 |
| 88 | 0.00491746228319545 | 0.0098349245663909 | 0.995082537716805 |
| 89 | 0.0462276632692842 | 0.0924553265385685 | 0.953772336730716 |
| 90 | 0.0892309530682657 | 0.178461906136531 | 0.910769046931734 |
| 91 | 0.189282494885806 | 0.378564989771612 | 0.810717505114194 |
| 92 | 0.849180561202015 | 0.30163887759597 | 0.150819438797985 |
| 93 | 0.95481792192712 | 0.0903641561457604 | 0.0451820780728802 |
| 94 | 0.952099144020024 | 0.0958017119599514 | 0.0479008559799757 |
| 95 | 0.931897141329354 | 0.136205717341292 | 0.068102858670646 |
| 96 | 0.921192433675705 | 0.157615132648589 | 0.0788075663242945 |
| 97 | 0.887371395891733 | 0.225257208216534 | 0.112628604108267 |
| 98 | 0.83870812198709 | 0.322583756025821 | 0.16129187801291 |
| 99 | 0.794762466821001 | 0.410475066357998 | 0.205237533178999 |
| 100 | 0.726834585130509 | 0.546330829738982 | 0.273165414869491 |
| 101 | 0.743148844091728 | 0.513702311816544 | 0.256851155908272 |
| 102 | 0.699784187370617 | 0.600431625258765 | 0.300215812629383 |
| 103 | 0.645273929406105 | 0.70945214118779 | 0.354726070593895 |
| 104 | 0.533479714051405 | 0.93304057189719 | 0.466520285948595 |
| 105 | 0.449479729362279 | 0.898959458724559 | 0.550520270637721 |
| 106 | 0.351892083673561 | 0.703784167347121 | 0.64810791632644 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 78 | 0.8125 | NOK |
| 5% type I error level | 78 | 0.8125 | NOK |
| 10% type I error level | 81 | 0.84375 | NOK |
