| Multiple Linear Regression - Estimated Regression Equation |
| Motivatie [t] = -7.64892641196258 + 0.699182398878154I1[t] + 0.899995933217154I2[t] + 1.17049459923633I3[t] + 1.3824341738989E1[t] + 1.06977391077917E2[t] + 0.82021707934688E3[t] -0.899454015105466A[t] + 0.0818955064962485Happiness[t] + 0.357946924003673Depression[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) | -7.64892641196258 | 10.685182 | -0.7158 | 0.475186 | 0.237593 |
| I1 | 0.699182398878154 | 0.298633 | 2.3413 | 0.020516 | 0.010258 |
| I2 | 0.899995933217154 | 0.258797 | 3.4776 | 0.00066 | 0.00033 |
| I3 | 1.17049459923633 | 0.200104 | 5.8494 | 0 | 0 |
| E1 | 1.3824341738989 | 0.288397 | 4.7935 | 4e-06 | 2e-06 |
| E2 | 1.06977391077917 | 0.220798 | 4.845 | 3e-06 | 2e-06 |
| E3 | 0.82021707934688 | 0.227682 | 3.6025 | 0.000426 | 0.000213 |
| A | -0.899454015105466 | 0.316584 | -2.8411 | 0.005112 | 0.002556 |
| Happiness | 0.0818955064962485 | 0.375441 | 0.2181 | 0.827619 | 0.41381 |
| Depression | 0.357946924003673 | 0.279783 | 1.2794 | 0.202715 | 0.101357 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.873362373451491 |
| R-squared | 0.762761835360821 |
| Adjusted R-squared | 0.748714838770344 |
| F-TEST (value) | 54.3007062362278 |
| F-TEST (DF numerator) | 9 |
| F-TEST (DF denominator) | 152 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 9.22544184762359 |
| Sum Squared Residuals | 12936.5341471505 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 127 | 124.701336566861 | 2.29866343313892 |
| 2 | 108 | 107.874712949928 | 0.125287050071958 |
| 3 | 110 | 110.393571907718 | -0.393571907718028 |
| 4 | 102 | 100.131877872011 | 1.86812212798886 |
| 5 | 104 | 105.989302971621 | -1.98930297162116 |
| 6 | 140 | 140.265771496749 | -0.265771496749212 |
| 7 | 112 | 113.134950179186 | -1.13495017918639 |
| 8 | 115 | 117.096341000183 | -2.09634100018306 |
| 9 | 121 | 117.468513769442 | 3.53148623055789 |
| 10 | 112 | 110.720781451888 | 1.27921854811246 |
| 11 | 118 | 116.484548967925 | 1.515451032075 |
| 12 | 122 | 119.42894909369 | 2.57105090630957 |
| 13 | 105 | 106.66008674426 | -1.66008674425977 |
| 14 | 111 | 109.379975390982 | 1.62002460901835 |
| 15 | 151 | 149.921899504695 | 1.0781004953046 |
| 16 | 106 | 105.407677287815 | 0.592322712185428 |
| 17 | 100 | 101.414366031323 | -1.41436603132268 |
| 18 | 149 | 148.062669513049 | 0.937330486951453 |
| 19 | 122 | 118.652115059989 | 3.34788494001079 |
| 20 | 115 | 115.429539757934 | -0.429539757934193 |
| 21 | 86 | 83.0498334810506 | 2.95016651894942 |
| 22 | 124 | 124.208242003984 | -0.208242003984454 |
| 23 | 69 | 70.4624586554288 | -1.46245865542884 |
| 24 | 117 | 117.024343694107 | -0.0243436941065235 |
| 25 | 113 | 113.238877336213 | -0.238877336213234 |
| 26 | 123 | 120.643308927529 | 2.35669107247089 |
| 27 | 123 | 121.93247132101 | 1.0675286789898 |
| 28 | 84 | 80.8586363590163 | 3.14136364098372 |
| 29 | 97 | 91.7571126998939 | 5.24288730010609 |
| 30 | 121 | 120.053733792769 | 0.946266207230532 |
| 31 | 132 | 130.415405102938 | 1.58459489706244 |
| 32 | 119 | 119.053243457907 | -0.0532434579065674 |
| 33 | 98 | 98.5245993120478 | -0.524599312047803 |
| 34 | 87 | 86.6556260973356 | 0.344373902664356 |
| 35 | 101 | 98.3990854208789 | 2.60091457912108 |
| 36 | 115 | 113.566982731351 | 1.43301726864914 |
| 37 | 109 | 109.734364130089 | -0.734364130088818 |
| 38 | 109 | 108.68979432315 | 0.310205676850131 |
| 39 | 159 | 157.401501571781 | 1.59849842821923 |
| 40 | 129 | 127.42956266132 | 1.5704373386796 |
| 41 | 119 | 118.301877085353 | 0.698122914646648 |
| 42 | 119 | 116.447784587567 | 2.55221541243293 |
| 43 | 122 | 119.371177009123 | 2.62882299087703 |
| 44 | 131 | 129.73416842537 | 1.26583157462988 |
| 45 | 120 | 115.478489947538 | 4.52151005246203 |
| 46 | 82 | 81.9259322810898 | 0.0740677189102154 |
| 47 | 86 | 84.3592250613649 | 1.64077493863508 |
| 48 | 105 | 101.387240445078 | 3.61275955492239 |
| 49 | 114 | 115.559227571633 | -1.55922757163251 |
| 50 | 100 | 98.9416410017901 | 1.05835899820995 |
| 51 | 100 | 99.7141302481116 | 0.285869751888379 |
| 52 | 99 | 99.0504364527789 | -0.0504364527788831 |
| 53 | 132 | 132.648597992922 | -0.64859799292226 |
| 54 | 82 | 84.6536195470347 | -2.65361954703467 |
| 55 | 132 | 129.648875021654 | 2.3511249783458 |
| 56 | 107 | 105.771109652934 | 1.22889034706607 |
| 57 | 114 | 113.985847797042 | 0.0141522029575846 |
| 58 | 110 | 106.211365873929 | 3.78863412607098 |
| 59 | 105 | 102.146594750088 | 2.85340524991171 |
| 60 | 121 | 116.366054915262 | 4.63394508473763 |
| 61 | 109 | 105.484401979307 | 3.51559802069283 |
| 62 | 106 | 104.294205745332 | 1.70579425466773 |
| 63 | 124 | 122.076128229747 | 1.92387177025337 |
| 64 | 120 | 119.101166600324 | 0.898833399676295 |
| 65 | 91 | 92.945874444839 | -1.94587444483901 |
| 66 | 126 | 124.315602544298 | 1.68439745570215 |
| 67 | 138 | 138.950652065484 | -0.950652065483895 |
| 68 | 118 | 116.842093403214 | 1.15790659678571 |
| 69 | 128 | 127.544259445752 | 0.455740554248025 |
| 70 | 98 | 99.1537093007067 | -1.15370930070665 |
| 71 | 133 | 133.275182319006 | -0.275182319005775 |
| 72 | 130 | 129.664774608914 | 0.335225391085704 |
| 73 | 103 | 100.685931078827 | 2.31406892117278 |
| 74 | 124 | 124.615886097302 | -0.615886097301705 |
| 75 | 142 | 140.687642505238 | 1.31235749476183 |
| 76 | 96 | 98.0957053996178 | -2.09570539961778 |
| 77 | 93 | 92.8355193926197 | 0.164480607380255 |
| 78 | 129 | 130.337486663767 | -1.33748666376717 |
| 79 | 150 | 150.00316037938 | -0.00316037937970743 |
| 80 | 88 | 87.459529267803 | 0.540470732197007 |
| 81 | 125 | 123.776829105233 | 1.22317089476721 |
| 82 | 92 | 90.8199458247078 | 1.18005417529225 |
| 83 | 0 | 111.521846096125 | -111.521846096125 |
| 84 | 117 | 116.529106682587 | 0.470893317412633 |
| 85 | 112 | 112.706575224952 | -0.706575224951994 |
| 86 | 144 | 142.347806789207 | 1.65219321079271 |
| 87 | 130 | 128.867931648081 | 1.13206835191945 |
| 88 | 87 | 86.4686133919804 | 0.531386608019574 |
| 89 | 92 | 92.406220379291 | -0.406220379291012 |
| 90 | 114 | 114.525548547202 | -0.525548547202209 |
| 91 | 81 | 79.5901985940455 | 1.40980140595453 |
| 92 | 127 | 125.922802599723 | 1.0771974002766 |
| 93 | 115 | 115.044899644787 | -0.0448996447870464 |
| 94 | 123 | 124.352843239454 | -1.35284323945401 |
| 95 | 115 | 115.022911253751 | -0.0229112537506782 |
| 96 | 117 | 116.404761151666 | 0.595238848333896 |
| 97 | 117 | 115.362429501204 | 1.63757049879575 |
| 98 | 103 | 101.701013217917 | 1.29898678208275 |
| 99 | 108 | 107.299029795409 | 0.700970204590686 |
| 100 | 139 | 137.043179337175 | 1.95682066282458 |
| 101 | 113 | 111.431373290859 | 1.56862670914053 |
| 102 | 97 | 94.9408196359598 | 2.05918036404023 |
| 103 | 117 | 115.091923565764 | 1.90807643423641 |
| 104 | 133 | 131.833478998417 | 1.1665210015834 |
| 105 | 115 | 115.581804154837 | -0.581804154837429 |
| 106 | 103 | 104.655486642275 | -1.6554866422746 |
| 107 | 95 | 94.5121902034414 | 0.487809796558615 |
| 108 | 117 | 117.82544450436 | -0.825444504360412 |
| 109 | 113 | 112.700695242966 | 0.299304757034478 |
| 110 | 127 | 129.23926699001 | -2.23926699000958 |
| 111 | 126 | 125.555722350333 | 0.444277649666606 |
| 112 | 119 | 117.998496144081 | 1.00150385591918 |
| 113 | 97 | 94.2682692490829 | 2.73173075091707 |
| 114 | 105 | 104.369947843239 | 0.630052156761093 |
| 115 | 140 | 140.100259931591 | -0.100259931591244 |
| 116 | 91 | 88.7686200103823 | 2.23137998961774 |
| 117 | 112 | 111.906352398939 | 0.0936476010607919 |
| 118 | 113 | 113.337108179912 | -0.33710817991246 |
| 119 | 102 | 97.4650496417502 | 4.53495035824977 |
| 120 | 92 | 90.9494222589088 | 1.05057774109123 |
| 121 | 98 | 98.9640797848208 | -0.964079784820795 |
| 122 | 122 | 122.139845911927 | -0.139845911926995 |
| 123 | 100 | 99.8379767259562 | 0.162023274043825 |
| 124 | 84 | 81.9211713777142 | 2.07882862228582 |
| 125 | 142 | 138.397804335553 | 3.6021956644467 |
| 126 | 124 | 122.540029185628 | 1.45997081437155 |
| 127 | 137 | 134.594287574793 | 2.40571242520671 |
| 128 | 105 | 104.299732957806 | 0.700267042194244 |
| 129 | 106 | 105.089081331534 | 0.910918668466262 |
| 130 | 125 | 123.307863570866 | 1.69213642913437 |
| 131 | 104 | 102.670820029493 | 1.32917997050656 |
| 132 | 130 | 131.998211946236 | -1.99821194623632 |
| 133 | 79 | 80.0543463282567 | -1.05434632825672 |
| 134 | 108 | 108.851885279045 | -0.851885279044838 |
| 135 | 136 | 134.3833098834 | 1.61669011660015 |
| 136 | 98 | 96.6911508718392 | 1.3088491281608 |
| 137 | 120 | 124.262560489209 | -4.26256048920895 |
| 138 | 108 | 108.412134989803 | -0.412134989802552 |
| 139 | 139 | 139.52760161114 | -0.52760161114 |
| 140 | 123 | 122.257857745172 | 0.742142254827986 |
| 141 | 90 | 88.0264896936585 | 1.9735103063415 |
| 142 | 119 | 119.20830881189 | -0.208308811890207 |
| 143 | 105 | 107.317942997046 | -2.31794299704575 |
| 144 | 110 | 108.096218875475 | 1.90378112452471 |
| 145 | 135 | 134.656429745702 | 0.343570254298257 |
| 146 | 101 | 97.7362649946026 | 3.2637350053974 |
| 147 | 114 | 112.616979790218 | 1.38302020978177 |
| 148 | 118 | 116.247195158411 | 1.75280484158896 |
| 149 | 120 | 118.290720045638 | 1.70927995436235 |
| 150 | 108 | 110.478193704572 | -2.47819370457178 |
| 151 | 114 | 111.353083196496 | 2.6469168035038 |
| 152 | 122 | 121.863696071088 | 0.136303928911497 |
| 153 | 132 | 130.372170867219 | 1.62782913278084 |
| 154 | 130 | 128.81552974419 | 1.18447025581015 |
| 155 | 130 | 131.637912154296 | -1.63791215429599 |
| 156 | 112 | 112.310654761784 | -0.310654761783773 |
| 157 | 114 | 117.012311721777 | -3.01231172177714 |
| 158 | 103 | 104.087942153444 | -1.08794215344375 |
| 159 | 115 | 114.656587822765 | 0.343412177235305 |
| 160 | 108 | 106.416545380029 | 1.58345461997058 |
| 161 | 94 | 94.4043630444043 | -0.404363044404341 |
| 162 | 105 | 105.156006337304 | -0.156006337303583 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 13 | 6.19613467228262e-46 | 1.23922693445652e-45 | 1 |
| 14 | 5.14596865358409e-61 | 1.02919373071682e-60 | 1 |
| 15 | 5.20191374048204e-76 | 1.04038274809641e-75 | 1 |
| 16 | 1.16889374181973e-90 | 2.33778748363946e-90 | 1 |
| 17 | 2.39199113514881e-110 | 4.78398227029762e-110 | 1 |
| 18 | 1.71971953832417e-126 | 3.43943907664835e-126 | 1 |
| 19 | 3.76703087815383e-134 | 7.53406175630765e-134 | 1 |
| 20 | 4.58814625041776e-149 | 9.17629250083553e-149 | 1 |
| 21 | 4.60859904689754e-168 | 9.21719809379508e-168 | 1 |
| 22 | 6.53073672003436e-187 | 1.30614734400687e-186 | 1 |
| 23 | 7.1568672563032e-193 | 1.43137345126064e-192 | 1 |
| 24 | 3.67273096000514e-209 | 7.34546192001029e-209 | 1 |
| 25 | 3.57904782763809e-232 | 7.15809565527617e-232 | 1 |
| 26 | 3.19236862602127e-245 | 6.38473725204255e-245 | 1 |
| 27 | 1.9578088446052e-259 | 3.9156176892104e-259 | 1 |
| 28 | 5.06158799842713e-277 | 1.01231759968543e-276 | 1 |
| 29 | 7.06366500202567e-281 | 1.41273300040513e-280 | 1 |
| 30 | 3.00168547614631e-310 | 6.00337095229261e-310 | 1 |
| 31 | 9.88131291682493e-324 | 1.97626258336499e-323 | 1 |
| 32 | 0 | 0 | 1 |
| 33 | 0 | 0 | 1 |
| 34 | 0 | 0 | 1 |
| 35 | 0 | 0 | 1 |
| 36 | 0 | 0 | 1 |
| 37 | 0 | 0 | 1 |
| 38 | 0 | 0 | 1 |
| 39 | 0 | 0 | 1 |
| 40 | 0 | 0 | 1 |
| 41 | 0 | 0 | 1 |
| 42 | 0 | 0 | 1 |
| 43 | 0 | 0 | 1 |
| 44 | 0 | 0 | 1 |
| 45 | 0 | 0 | 1 |
| 46 | 0 | 0 | 1 |
| 47 | 0 | 0 | 1 |
| 48 | 0 | 0 | 1 |
| 49 | 0 | 0 | 1 |
| 50 | 0 | 0 | 1 |
| 51 | 0 | 0 | 1 |
| 52 | 0 | 0 | 1 |
| 53 | 0 | 0 | 1 |
| 54 | 0 | 0 | 1 |
| 55 | 0 | 0 | 1 |
| 56 | 0 | 0 | 1 |
| 57 | 0 | 0 | 1 |
| 58 | 0 | 0 | 1 |
| 59 | 0 | 0 | 1 |
| 60 | 0 | 0 | 1 |
| 61 | 0 | 0 | 1 |
| 62 | 0 | 0 | 1 |
| 63 | 0 | 0 | 1 |
| 64 | 0 | 0 | 1 |
| 65 | 0 | 0 | 1 |
| 66 | 0 | 0 | 1 |
| 67 | 0 | 0 | 1 |
| 68 | 0 | 0 | 1 |
| 69 | 0 | 0 | 1 |
| 70 | 0 | 0 | 1 |
| 71 | 0 | 0 | 1 |
| 72 | 0 | 0 | 1 |
| 73 | 0 | 0 | 1 |
| 74 | 0 | 0 | 1 |
| 75 | 0 | 0 | 1 |
| 76 | 0 | 0 | 1 |
| 77 | 0 | 0 | 1 |
| 78 | 0 | 0 | 1 |
| 79 | 0 | 0 | 1 |
| 80 | 0 | 0 | 1 |
| 81 | 0 | 0 | 1 |
| 82 | 0 | 0 | 1 |
| 83 | 1 | 0 | 0 |
| 84 | 1 | 0 | 0 |
| 85 | 1 | 0 | 0 |
| 86 | 1 | 0 | 0 |
| 87 | 1 | 0 | 0 |
| 88 | 1 | 0 | 0 |
| 89 | 1 | 0 | 0 |
| 90 | 1 | 0 | 0 |
| 91 | 1 | 0 | 0 |
| 92 | 1 | 0 | 0 |
| 93 | 1 | 0 | 0 |
| 94 | 1 | 0 | 0 |
| 95 | 1 | 0 | 0 |
| 96 | 1 | 0 | 0 |
| 97 | 1 | 0 | 0 |
| 98 | 1 | 0 | 0 |
| 99 | 1 | 0 | 0 |
| 100 | 1 | 0 | 0 |
| 101 | 1 | 0 | 0 |
| 102 | 1 | 0 | 0 |
| 103 | 1 | 0 | 0 |
| 104 | 1 | 0 | 0 |
| 105 | 1 | 0 | 0 |
| 106 | 1 | 0 | 0 |
| 107 | 1 | 0 | 0 |
| 108 | 1 | 0 | 0 |
| 109 | 1 | 0 | 0 |
| 110 | 1 | 0 | 0 |
| 111 | 1 | 0 | 0 |
| 112 | 1 | 0 | 0 |
| 113 | 1 | 0 | 0 |
| 114 | 1 | 0 | 0 |
| 115 | 1 | 0 | 0 |
| 116 | 1 | 0 | 0 |
| 117 | 1 | 0 | 0 |
| 118 | 1 | 0 | 0 |
| 119 | 1 | 0 | 0 |
| 120 | 1 | 0 | 0 |
| 121 | 1 | 0 | 0 |
| 122 | 1 | 0 | 0 |
| 123 | 1 | 0 | 0 |
| 124 | 1 | 0 | 0 |
| 125 | 1 | 0 | 0 |
| 126 | 1 | 0 | 0 |
| 127 | 1 | 0 | 0 |
| 128 | 1 | 0 | 0 |
| 129 | 1 | 0 | 0 |
| 130 | 1 | 0 | 0 |
| 131 | 1 | 1.00734846904313e-317 | 5.03674234521567e-318 |
| 132 | 1 | 5.90568789478025e-301 | 2.95284394739012e-301 |
| 133 | 1 | 1.02137262022903e-279 | 5.10686310114517e-280 |
| 134 | 1 | 9.79407137186415e-283 | 4.89703568593208e-283 |
| 135 | 1 | 1.16400567482541e-266 | 5.82002837412706e-267 |
| 136 | 1 | 1.90097525497101e-240 | 9.50487627485504e-241 |
| 137 | 1 | 2.49313006360352e-223 | 1.24656503180176e-223 |
| 138 | 1 | 4.48256135513858e-215 | 2.24128067756929e-215 |
| 139 | 1 | 5.91766434775965e-198 | 2.95883217387982e-198 |
| 140 | 1 | 4.44440947341153e-179 | 2.22220473670576e-179 |
| 141 | 1 | 9.88409710341578e-164 | 4.94204855170789e-164 |
| 142 | 1 | 1.16937011408297e-154 | 5.84685057041484e-155 |
| 143 | 1 | 4.1384984240254e-142 | 2.0692492120127e-142 |
| 144 | 1 | 9.362451329071e-125 | 4.6812256645355e-125 |
| 145 | 1 | 3.03131485373578e-112 | 1.51565742686789e-112 |
| 146 | 1 | 7.02067029702497e-91 | 3.51033514851249e-91 |
| 147 | 1 | 1.93533519069677e-75 | 9.67667595348385e-76 |
| 148 | 1 | 3.89642009782747e-65 | 1.94821004891374e-65 |
| 149 | 1 | 1.88929018934962e-46 | 9.44645094674809e-47 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 137 | 1 | NOK |
| 5% type I error level | 137 | 1 | NOK |
| 10% type I error level | 137 | 1 | NOK |
