| Multiple Linear Regression - Estimated Regression Equation |
| PE[t] = + 8.53915846784639 + 0.0328034599961517`I/ToKnow`[t] -0.11938165883205`I/Accomp.`[t] + 0.0235331791205159`I/Exp.Stimulation`[t] -0.00277426290252649`E/Identified`[t] + 0.130427824598309`E/Introjected`[t] -1.11540755578888e-05`E/Ext.Regulation`[t] -0.0560877663415208Amotivation[t] -1.30866706505860gender[t] + 0.224081627325535PS[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) | 8.53915846784639 | 2.977681 | 2.8677 | 0.004784 | 0.002392 |
| `I/ToKnow` | 0.0328034599961517 | 0.105726 | 0.3103 | 0.756824 | 0.378412 |
| `I/Accomp.` | -0.11938165883205 | 0.093553 | -1.2761 | 0.204068 | 0.102034 |
| `I/Exp.Stimulation` | 0.0235331791205159 | 0.071281 | 0.3301 | 0.741789 | 0.370895 |
| `E/Identified` | -0.00277426290252649 | 0.102188 | -0.0271 | 0.97838 | 0.48919 |
| `E/Introjected` | 0.130427824598309 | 0.078387 | 1.6639 | 0.098401 | 0.049201 |
| `E/Ext.Regulation` | -1.11540755578888e-05 | 0.083525 | -1e-04 | 0.999894 | 0.499947 |
| Amotivation | -0.0560877663415208 | 0.109442 | -0.5125 | 0.609129 | 0.304564 |
| gender | -1.30866706505860 | 0.582139 | -2.248 | 0.02616 | 0.01308 |
| PS | 0.224081627325535 | 0.066786 | 3.3552 | 0.001024 | 0.000512 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.384075787173551 |
| R-squared | 0.147514210292983 |
| Adjusted R-squared | 0.0919173109642641 |
| F-TEST (value) | 2.65328124543061 |
| F-TEST (DF numerator) | 9 |
| F-TEST (DF denominator) | 138 |
| p-value | 0.00723210258212192 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 3.22509740153913 |
| Sum Squared Residuals | 1435.37294841919 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 6 | 11.0484119477087 | -5.0484119477087 |
| 2 | 5 | 13.0532314339314 | -8.05323143393135 |
| 3 | 20 | 12.5522447501050 | 7.44775524989498 |
| 4 | 12 | 11.6255235738282 | 0.374476426171776 |
| 5 | 11 | 11.1392200130443 | -0.139220013044329 |
| 6 | 12 | 10.0674572531533 | 1.93254274684670 |
| 7 | 11 | 13.6339159287121 | -2.63391592871215 |
| 8 | 9 | 12.9957255638590 | -3.99572556385905 |
| 9 | 13 | 11.1200419608489 | 1.87995803915113 |
| 10 | 9 | 12.9175685141238 | -3.9175685141238 |
| 11 | 14 | 12.4203596596251 | 1.57964034037493 |
| 12 | 12 | 13.5563319350571 | -1.55633193505712 |
| 13 | 18 | 14.4897104581674 | 3.51028954183258 |
| 14 | 9 | 13.9999437264796 | -4.99994372647963 |
| 15 | 15 | 14.4055561395476 | 0.594443860452394 |
| 16 | 12 | 10.8834402605098 | 1.11655973949023 |
| 17 | 12 | 11.2899781806455 | 0.710021819354517 |
| 18 | 12 | 13.7227240441565 | -1.72272404415652 |
| 19 | 15 | 13.9037287634664 | 1.09627123653356 |
| 20 | 11 | 12.2874732305774 | -1.28747323057742 |
| 21 | 13 | 13.2739787675797 | -0.273978767579683 |
| 22 | 10 | 11.7188065611581 | -1.71880656115805 |
| 23 | 17 | 12.2213352854898 | 4.77866471451018 |
| 24 | 13 | 12.6502770594152 | 0.349722940584771 |
| 25 | 17 | 13.8672031570802 | 3.13279684291977 |
| 26 | 15 | 13.5732112126500 | 1.42678878735005 |
| 27 | 13 | 14.1747703456721 | -1.17477034567209 |
| 28 | 17 | 14.3248441857688 | 2.67515581423116 |
| 29 | 21 | 15.990215368627 | 5.00978463137301 |
| 30 | 12 | 12.6316069268877 | -0.631606926887657 |
| 31 | 12 | 12.9638712587123 | -0.963871258712325 |
| 32 | 15 | 13.8576089929775 | 1.14239100702247 |
| 33 | 8 | 10.6537148631648 | -2.65371486316477 |
| 34 | 15 | 13.4622825090816 | 1.53771749091835 |
| 35 | 16 | 14.6981948806868 | 1.30180511931315 |
| 36 | 9 | 12.1362744794507 | -3.13627447945073 |
| 37 | 13 | 12.0112247482425 | 0.988775251757525 |
| 38 | 11 | 14.3134232838367 | -3.31342328383673 |
| 39 | 9 | 12.5466307129125 | -3.54663071291247 |
| 40 | 15 | 12.8388144071634 | 2.16118559283659 |
| 41 | 9 | 13.6501263783843 | -4.65012637838426 |
| 42 | 15 | 11.5309044779960 | 3.46909552200398 |
| 43 | 14 | 12.3166740875989 | 1.68332591240113 |
| 44 | 8 | 12.5896265559029 | -4.58962655590291 |
| 45 | 11 | 12.1409810271029 | -1.14098102710295 |
| 46 | 14 | 12.2738981512627 | 1.72610184873733 |
| 47 | 14 | 12.2165711476139 | 1.78342885238612 |
| 48 | 12 | 12.0613608846806 | -0.0613608846805687 |
| 49 | 15 | 13.2978858821276 | 1.70211411787241 |
| 50 | 11 | 12.1771579222283 | -1.17715792222827 |
| 51 | 11 | 13.3347178838296 | -2.33471788382955 |
| 52 | 9 | 13.4125362056837 | -4.4125362056837 |
| 53 | 8 | 11.6233399264475 | -3.6233399264475 |
| 54 | 13 | 12.7338123391412 | 0.26618766085885 |
| 55 | 12 | 11.2077094899806 | 0.792290510019423 |
| 56 | 24 | 13.9493115620758 | 10.0506884379242 |
| 57 | 11 | 11.5962189454810 | -0.596218945480953 |
| 58 | 11 | 13.5192504378576 | -2.51925043785763 |
| 59 | 16 | 11.6276237915787 | 4.37237620842127 |
| 60 | 12 | 12.1941943299722 | -0.194194329972162 |
| 61 | 18 | 12.3548550895478 | 5.64514491045225 |
| 62 | 12 | 10.1368158752402 | 1.86318412475978 |
| 63 | 14 | 10.2097148922715 | 3.79028510772851 |
| 64 | 16 | 12.3138337484557 | 3.68616625154431 |
| 65 | 24 | 12.7535121161777 | 11.2464878838223 |
| 66 | 13 | 14.0294753400870 | -1.02947534008696 |
| 67 | 11 | 11.9964734149453 | -0.996473414945308 |
| 68 | 14 | 14.1571264702155 | -0.157126470215545 |
| 69 | 16 | 12.6950049829675 | 3.30499501703254 |
| 70 | 12 | 12.7588020136760 | -0.758802013676048 |
| 71 | 21 | 15.7939680169425 | 5.20603198305751 |
| 72 | 11 | 10.6190809889127 | 0.380919011087297 |
| 73 | 6 | 12.3975164448178 | -6.39751644481782 |
| 74 | 9 | 11.7725603310556 | -2.77256033105557 |
| 75 | 14 | 13.5332465942612 | 0.466753405738816 |
| 76 | 16 | 14.1971125656983 | 1.80288743430174 |
| 77 | 18 | 15.5031301785523 | 2.49686982144766 |
| 78 | 9 | 12.6476070099501 | -3.64760700995009 |
| 79 | 13 | 13.7266582277665 | -0.726658227766493 |
| 80 | 17 | 11.8400007768086 | 5.15999922319145 |
| 81 | 11 | 13.0321385055612 | -2.03213850556118 |
| 82 | 16 | 13.8677712832854 | 2.13222871671458 |
| 83 | 11 | 14.2279342055268 | -3.22793420552682 |
| 84 | 11 | 13.4640027143945 | -2.46400271439448 |
| 85 | 11 | 11.7253846302890 | -0.725384630288966 |
| 86 | 20 | 14.0294699541098 | 5.97053004589023 |
| 87 | 10 | 12.2911931399818 | -2.29119313998178 |
| 88 | 12 | 11.5488252728497 | 0.451174727150334 |
| 89 | 11 | 12.1627516813086 | -1.16275168130863 |
| 90 | 14 | 13.8579738803745 | 0.142026119625547 |
| 91 | 12 | 14.0342034893621 | -2.0342034893621 |
| 92 | 12 | 13.4478357959972 | -1.44783579599725 |
| 93 | 12 | 15.7216194477623 | -3.72161944776231 |
| 94 | 10 | 10.8067618846480 | -0.806761884648027 |
| 95 | 12 | 11.7314797930945 | 0.268520206905495 |
| 96 | 10 | 11.9969492247895 | -1.99694922478945 |
| 97 | 10 | 10.9231171730596 | -0.923117173059569 |
| 98 | 13 | 11.9588215580983 | 1.04117844190168 |
| 99 | 12 | 13.2531303858511 | -1.25313038585109 |
| 100 | 13 | 13.6559155607580 | -0.655915560757962 |
| 101 | 9 | 13.2402851926328 | -4.24028519263278 |
| 102 | 14 | 12.6334729382158 | 1.3665270617842 |
| 103 | 14 | 11.6874980154944 | 2.31250198450557 |
| 104 | 12 | 12.5497007875942 | -0.549700787594184 |
| 105 | 18 | 14.2539994348300 | 3.74600056517004 |
| 106 | 17 | 13.6732634649158 | 3.32673653508419 |
| 107 | 12 | 10.9872228794642 | 1.01277712053576 |
| 108 | 15 | 13.5574461408138 | 1.44255385918618 |
| 109 | 8 | 13.9907315023649 | -5.99073150236493 |
| 110 | 8 | 10.0003198674303 | -2.00031986743034 |
| 111 | 12 | 14.8082032436240 | -2.80820324362396 |
| 112 | 10 | 13.8550444291371 | -3.85504442913713 |
| 113 | 18 | 15.1697814336016 | 2.83021856639844 |
| 114 | 15 | 14.3744177985499 | 0.625582201450097 |
| 115 | 16 | 12.6343169987064 | 3.36568300129361 |
| 116 | 11 | 12.7939835667638 | -1.79398356676378 |
| 117 | 10 | 12.4098640068407 | -2.40986400684074 |
| 118 | 7 | 11.7178592967391 | -4.71785929673908 |
| 119 | 17 | 13.0501830627587 | 3.94981693724126 |
| 120 | 7 | 14.8367467384094 | -7.83674673840944 |
| 121 | 14 | 11.3933126534709 | 2.60668734652914 |
| 122 | 12 | 13.2600220533565 | -1.26002205335645 |
| 123 | 15 | 13.6014613341931 | 1.39853866580686 |
| 124 | 13 | 12.0523687170759 | 0.94763128292408 |
| 125 | 10 | 10.994055356021 | -0.994055356020998 |
| 126 | 16 | 14.0739403517661 | 1.92605964823386 |
| 127 | 11 | 11.4209241542991 | -0.420924154299101 |
| 128 | 7 | 11.6517221633458 | -4.65172216334577 |
| 129 | 15 | 10.4950804804367 | 4.50491951956334 |
| 130 | 18 | 13.250991407762 | 4.749008592238 |
| 131 | 11 | 13.5846881044724 | -2.58468810447241 |
| 132 | 13 | 11.2594113922295 | 1.74058860777048 |
| 133 | 11 | 10.9276764357638 | 0.0723235642361557 |
| 134 | 13 | 11.4987349150045 | 1.50126508499545 |
| 135 | 12 | 10.4859662414240 | 1.51403375857603 |
| 136 | 11 | 12.7161361153613 | -1.71613611536130 |
| 137 | 11 | 14.7726911029711 | -3.77269110297114 |
| 138 | 13 | 13.0473882440804 | -0.0473882440803908 |
| 139 | 8 | 10.2894162447455 | -2.28941624474551 |
| 140 | 12 | 12.5135941052091 | -0.513594105209136 |
| 141 | 9 | 10.7237593763653 | -1.72375937636527 |
| 142 | 14 | 13.0624988629235 | 0.93750113707646 |
| 143 | 18 | 14.2063146209185 | 3.79368537908148 |
| 144 | 15 | 13.6430798682807 | 1.35692013171928 |
| 145 | 9 | 11.8114280234618 | -2.81142802346185 |
| 146 | 11 | 14.4573987634984 | -3.45739876349843 |
| 147 | 17 | 14.5437443985820 | 2.45625560141803 |
| 148 | 12 | 11.3893012835920 | 0.610698716407979 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 13 | 0.991448457675362 | 0.0171030846492754 | 0.00855154232463768 |
| 14 | 0.991553165577044 | 0.0168936688459114 | 0.00844683442295568 |
| 15 | 0.982200293134872 | 0.0355994137302565 | 0.0177997068651282 |
| 16 | 0.966059826898382 | 0.0678803462032367 | 0.0339401731016184 |
| 17 | 0.943581700152069 | 0.112836599695862 | 0.0564182998479312 |
| 18 | 0.916123119118499 | 0.167753761763003 | 0.0838768808815014 |
| 19 | 0.911197052777354 | 0.177605894445293 | 0.0888029472226463 |
| 20 | 0.874853955922393 | 0.250292088155213 | 0.125146044077607 |
| 21 | 0.82446846703307 | 0.351063065933859 | 0.175531532966930 |
| 22 | 0.775616636316925 | 0.448766727366151 | 0.224383363683075 |
| 23 | 0.769618728068306 | 0.460762543863388 | 0.230381271931694 |
| 24 | 0.718426683615706 | 0.563146632768587 | 0.281573316384294 |
| 25 | 0.729800548032275 | 0.540398903935449 | 0.270199451967725 |
| 26 | 0.673807649784076 | 0.652384700431848 | 0.326192350215924 |
| 27 | 0.606988079589446 | 0.786023840821109 | 0.393011920410554 |
| 28 | 0.564519609596297 | 0.870960780807405 | 0.435480390403703 |
| 29 | 0.580092828114989 | 0.839814343770022 | 0.419907171885011 |
| 30 | 0.514155064162767 | 0.971689871674466 | 0.485844935837233 |
| 31 | 0.492587359781062 | 0.985174719562125 | 0.507412640218938 |
| 32 | 0.427861861533909 | 0.855723723067817 | 0.572138138466091 |
| 33 | 0.392936895849663 | 0.785873791699325 | 0.607063104150337 |
| 34 | 0.338140319271998 | 0.676280638543997 | 0.661859680728001 |
| 35 | 0.317256898593946 | 0.634513797187891 | 0.682743101406054 |
| 36 | 0.340856451693519 | 0.681712903387038 | 0.659143548306481 |
| 37 | 0.294537264087461 | 0.589074528174922 | 0.705462735912539 |
| 38 | 0.377030567581555 | 0.75406113516311 | 0.622969432418445 |
| 39 | 0.377972179950725 | 0.75594435990145 | 0.622027820049275 |
| 40 | 0.328454892178536 | 0.656909784357072 | 0.671545107821464 |
| 41 | 0.395206511042791 | 0.790413022085583 | 0.604793488957209 |
| 42 | 0.385962032456373 | 0.771924064912746 | 0.614037967543627 |
| 43 | 0.396708384397209 | 0.793416768794419 | 0.60329161560279 |
| 44 | 0.451302499864399 | 0.902604999728797 | 0.548697500135601 |
| 45 | 0.398456542223626 | 0.796913084447252 | 0.601543457776374 |
| 46 | 0.371127907036106 | 0.742255814072212 | 0.628872092963894 |
| 47 | 0.328135208398446 | 0.656270416796891 | 0.671864791601554 |
| 48 | 0.282053280775860 | 0.564106561551719 | 0.71794671922414 |
| 49 | 0.244360777673809 | 0.488721555347617 | 0.755639222326191 |
| 50 | 0.240580124436539 | 0.481160248873079 | 0.75941987556346 |
| 51 | 0.218709137953600 | 0.437418275907201 | 0.7812908620464 |
| 52 | 0.253688836365792 | 0.507377672731584 | 0.746311163634208 |
| 53 | 0.244142695992748 | 0.488285391985496 | 0.755857304007252 |
| 54 | 0.208114306651299 | 0.416228613302599 | 0.7918856933487 |
| 55 | 0.173058893088848 | 0.346117786177697 | 0.826941106911152 |
| 56 | 0.64598243463528 | 0.708035130729439 | 0.354017565364719 |
| 57 | 0.598561531565887 | 0.802876936868225 | 0.401438468434113 |
| 58 | 0.568613502995509 | 0.862772994008981 | 0.431386497004491 |
| 59 | 0.598646745096108 | 0.802706509807784 | 0.401353254903892 |
| 60 | 0.554795864598458 | 0.890408270803084 | 0.445204135401542 |
| 61 | 0.691497479910927 | 0.617005040178145 | 0.308502520089073 |
| 62 | 0.662049517896208 | 0.675900964207583 | 0.337950482103792 |
| 63 | 0.682024644922931 | 0.635950710154139 | 0.317975355077069 |
| 64 | 0.710318117122719 | 0.579363765754561 | 0.289681882877281 |
| 65 | 0.9797137966595 | 0.0405724066809989 | 0.0202862033404994 |
| 66 | 0.975013284652728 | 0.0499734306945445 | 0.0249867153472723 |
| 67 | 0.967489403878108 | 0.065021192243784 | 0.032510596121892 |
| 68 | 0.957421679658358 | 0.0851566406832837 | 0.0425783203416419 |
| 69 | 0.958890092665421 | 0.0822198146691579 | 0.0411099073345789 |
| 70 | 0.947867534263417 | 0.104264931473165 | 0.0521324657365826 |
| 71 | 0.968661230440877 | 0.0626775391182454 | 0.0313387695591227 |
| 72 | 0.959522273185971 | 0.080955453628058 | 0.040477726814029 |
| 73 | 0.980511263409835 | 0.0389774731803303 | 0.0194887365901652 |
| 74 | 0.982089846612982 | 0.0358203067740352 | 0.0179101533870176 |
| 75 | 0.976938502219816 | 0.0461229955603677 | 0.0230614977801838 |
| 76 | 0.972477713999487 | 0.0550445720010264 | 0.0275222860005132 |
| 77 | 0.96974545816514 | 0.0605090836697202 | 0.0302545418348601 |
| 78 | 0.97037607319862 | 0.0592478536027617 | 0.0296239268013809 |
| 79 | 0.961215873635689 | 0.0775682527286225 | 0.0387841263643113 |
| 80 | 0.986454765370782 | 0.027090469258435 | 0.0135452346292175 |
| 81 | 0.984242382405017 | 0.0315152351899654 | 0.0157576175949827 |
| 82 | 0.983609388234767 | 0.0327812235304652 | 0.0163906117652326 |
| 83 | 0.98349165480772 | 0.0330166903845593 | 0.0165083451922797 |
| 84 | 0.981613111230603 | 0.0367737775387936 | 0.0183868887693968 |
| 85 | 0.975664629085117 | 0.0486707418297668 | 0.0243353709148834 |
| 86 | 0.98807547298074 | 0.0238490540385185 | 0.0119245270192593 |
| 87 | 0.986156228960402 | 0.0276875420791958 | 0.0138437710395979 |
| 88 | 0.980950098262606 | 0.0380998034747878 | 0.0190499017373939 |
| 89 | 0.97471866951231 | 0.0505626609753811 | 0.0252813304876905 |
| 90 | 0.965885442211527 | 0.0682291155769465 | 0.0341145577884733 |
| 91 | 0.958003009477509 | 0.083993981044982 | 0.041996990522491 |
| 92 | 0.946727039243296 | 0.106545921513408 | 0.0532729607567041 |
| 93 | 0.958477005293253 | 0.0830459894134945 | 0.0415229947067472 |
| 94 | 0.946373153850201 | 0.107253692299597 | 0.0536268461497987 |
| 95 | 0.934301184355811 | 0.131397631288377 | 0.0656988156441886 |
| 96 | 0.918374108903757 | 0.163251782192487 | 0.0816258910962434 |
| 97 | 0.899044328949851 | 0.201911342100297 | 0.100955671050149 |
| 98 | 0.874724985741676 | 0.250550028516648 | 0.125275014258324 |
| 99 | 0.863362987886334 | 0.273274024227332 | 0.136637012113666 |
| 100 | 0.836183537208451 | 0.327632925583097 | 0.163816462791549 |
| 101 | 0.867052378144257 | 0.265895243711486 | 0.132947621855743 |
| 102 | 0.843349228448544 | 0.313301543102912 | 0.156650771551456 |
| 103 | 0.846233268332007 | 0.307533463335987 | 0.153766731667994 |
| 104 | 0.80982090335588 | 0.380358193288241 | 0.190179096644121 |
| 105 | 0.819836339129247 | 0.360327321741507 | 0.180163660870753 |
| 106 | 0.864916938596945 | 0.27016612280611 | 0.135083061403055 |
| 107 | 0.833543764114143 | 0.332912471771714 | 0.166456235885857 |
| 108 | 0.829196415586991 | 0.341607168826018 | 0.170803584413009 |
| 109 | 0.87165205932316 | 0.256695881353679 | 0.128347940676839 |
| 110 | 0.87057423871474 | 0.25885152257052 | 0.12942576128526 |
| 111 | 0.843104165544453 | 0.313791668911094 | 0.156895834455547 |
| 112 | 0.846977087292126 | 0.306045825415747 | 0.153022912707874 |
| 113 | 0.857936259079214 | 0.284127481841572 | 0.142063740920786 |
| 114 | 0.819158088106783 | 0.361683823786434 | 0.180841911893217 |
| 115 | 0.82079059403669 | 0.358418811926620 | 0.179209405963310 |
| 116 | 0.78321912506435 | 0.4335617498713 | 0.21678087493565 |
| 117 | 0.750986886221757 | 0.498026227556487 | 0.249013113778243 |
| 118 | 0.735407639375083 | 0.529184721249835 | 0.264592360624917 |
| 119 | 0.758541739286055 | 0.48291652142789 | 0.241458260713945 |
| 120 | 0.94709587231789 | 0.105808255364222 | 0.0529041276821108 |
| 121 | 0.92609071481799 | 0.147818570364019 | 0.0739092851820096 |
| 122 | 0.911579324485585 | 0.176841351028829 | 0.0884206755144146 |
| 123 | 0.884887164139685 | 0.23022567172063 | 0.115112835860315 |
| 124 | 0.851117149138217 | 0.297765701723566 | 0.148882850861783 |
| 125 | 0.81121943510853 | 0.377561129782940 | 0.188780564891470 |
| 126 | 0.808062316920147 | 0.383875366159706 | 0.191937683079853 |
| 127 | 0.764224756254961 | 0.471550487490077 | 0.235775243745039 |
| 128 | 0.86255095468309 | 0.274898090633820 | 0.137449045316910 |
| 129 | 0.854904267831365 | 0.29019146433727 | 0.145095732168635 |
| 130 | 0.87377696449118 | 0.25244607101764 | 0.12622303550882 |
| 131 | 0.811227660052142 | 0.377544679895716 | 0.188772339947858 |
| 132 | 0.71772367207299 | 0.56455265585402 | 0.28227632792701 |
| 133 | 0.608720995548257 | 0.782558008903486 | 0.391279004451743 |
| 134 | 0.644600482941789 | 0.710799034116423 | 0.355399517058211 |
| 135 | 0.513189460883668 | 0.973621078232664 | 0.486810539116332 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 0 | 0 | OK |
| 5% type I error level | 17 | 0.138211382113821 | NOK |
| 10% type I error level | 31 | 0.252032520325203 | NOK |
