| Multiple Linear Regression - Estimated Regression Equation |
| Motivatie [t] = -7.23245812461319 + 0.69284878264744I1[t] + 0.902423664222079I2[t] + 1.17903408262516I3[t] + 1.37766564736893E1[t] + 1.06956252199474E2[t] + 0.818834879664929E3[t] -0.894605266788159A[t] + 0.0789442773936765Happiness[t] + 0.367179961372851Depression[t] -0.00506485399414405t + 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) | -7.23245812461319 | 10.797282 | -0.6698 | 0.503982 | 0.251991 |
| I1 | 0.69284878264744 | 0.300188 | 2.3081 | 0.022354 | 0.011177 |
| I2 | 0.902423664222079 | 0.259679 | 3.4752 | 0.000667 | 0.000333 |
| I3 | 1.17903408262516 | 0.202501 | 5.8224 | 0 | 0 |
| E1 | 1.37766564736893 | 0.289646 | 4.7564 | 5e-06 | 2e-06 |
| E2 | 1.06956252199474 | 0.221456 | 4.8297 | 3e-06 | 2e-06 |
| E3 | 0.818834879664929 | 0.228401 | 3.5851 | 0.000454 | 0.000227 |
| A | -0.894605266788159 | 0.317894 | -2.8142 | 0.005542 | 0.002771 |
| Happiness | 0.0789442773936765 | 0.376672 | 0.2096 | 0.834275 | 0.417138 |
| Depression | 0.367179961372851 | 0.282124 | 1.3015 | 0.195075 | 0.097537 |
| t | -0.00506485399414405 | 0.015988 | -0.3168 | 0.751847 | 0.375923 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.873452570349703 |
| R-squared | 0.762919392650502 |
| Adjusted R-squared | 0.747218690177026 |
| F-TEST (value) | 48.5914177368375 |
| F-TEST (DF numerator) | 10 |
| F-TEST (DF denominator) | 151 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 9.25286516927742 |
| Sum Squared Residuals | 12927.9425899649 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 127 | 125.12219140254 | 1.87780859745952 |
| 2 | 108 | 108.243469192376 | -0.243469192376404 |
| 3 | 110 | 110.86387943232 | -0.863879432319897 |
| 4 | 102 | 100.530717307711 | 1.46928269228949 |
| 5 | 104 | 106.39455312845 | -2.39455312845033 |
| 6 | 140 | 140.623590074444 | -0.623590074443876 |
| 7 | 112 | 113.444932328975 | -1.44493232897488 |
| 8 | 115 | 117.470864765297 | -2.47086476529706 |
| 9 | 121 | 117.777406801581 | 3.22259319841871 |
| 10 | 112 | 111.055542447278 | 0.944457552721759 |
| 11 | 118 | 116.773659832873 | 1.22634016712686 |
| 12 | 122 | 119.672390202404 | 2.32760979759573 |
| 13 | 105 | 107.007746702296 | -2.00774670229641 |
| 14 | 111 | 109.622820459047 | 1.37717954095316 |
| 15 | 151 | 150.249268352787 | 0.750731647212707 |
| 16 | 106 | 105.727730738164 | 0.272269261836368 |
| 17 | 100 | 101.708215516242 | -1.70821551624158 |
| 18 | 149 | 148.382853905355 | 0.617146094644949 |
| 19 | 122 | 118.851396607238 | 3.14860339276214 |
| 20 | 115 | 115.717993871578 | -0.71799387157819 |
| 21 | 86 | 83.2746868360219 | 2.7253131639781 |
| 22 | 124 | 124.5514643947 | -0.551464394700474 |
| 23 | 69 | 70.7429936100165 | -1.74299361001651 |
| 24 | 117 | 117.266396915089 | -0.266396915089178 |
| 25 | 113 | 113.458448583803 | -0.458448583802962 |
| 26 | 123 | 120.915018398097 | 2.08498160190302 |
| 27 | 123 | 122.196923408604 | 0.803076591395727 |
| 28 | 84 | 81.0596893362179 | 2.94031066378211 |
| 29 | 97 | 92.0426508775649 | 4.9573491224351 |
| 30 | 121 | 120.305430613772 | 0.694569386227736 |
| 31 | 132 | 130.641754240214 | 1.35824575978621 |
| 32 | 119 | 119.335978074561 | -0.335978074561494 |
| 33 | 98 | 98.8628078017692 | -0.862807801769214 |
| 34 | 87 | 86.9233719728539 | 0.0766280271461479 |
| 35 | 101 | 98.5654340450088 | 2.43456595499124 |
| 36 | 115 | 113.769679827861 | 1.23032017213857 |
| 37 | 109 | 109.962169141118 | -0.962169141117901 |
| 38 | 109 | 108.874631595301 | 0.125368404699217 |
| 39 | 159 | 157.60082082037 | 1.3991791796302 |
| 40 | 129 | 127.606990121587 | 1.39300987841255 |
| 41 | 119 | 118.477930299056 | 0.522069700943734 |
| 42 | 119 | 116.591190672246 | 2.40880932775372 |
| 43 | 122 | 119.53592759983 | 2.4640724001696 |
| 44 | 131 | 129.956244570563 | 1.04375542943723 |
| 45 | 120 | 115.620236498481 | 4.37976350151874 |
| 46 | 82 | 82.1531987814684 | -0.153198781468392 |
| 47 | 86 | 84.465328455967 | 1.53467154403304 |
| 48 | 105 | 101.498541911975 | 3.50145808802462 |
| 49 | 114 | 115.753696190617 | -1.75369619061683 |
| 50 | 100 | 99.1096033614532 | 0.890396638546826 |
| 51 | 100 | 99.8939456374554 | 0.106054362544633 |
| 52 | 99 | 99.192576984477 | -0.192576984476951 |
| 53 | 132 | 132.83703984719 | -0.837039847190496 |
| 54 | 82 | 84.7937101735985 | -2.79371017359851 |
| 55 | 132 | 129.788051238002 | 2.21194876199846 |
| 56 | 107 | 105.87628929047 | 1.12371070953004 |
| 57 | 114 | 114.097132946347 | -0.0971329463470607 |
| 58 | 110 | 106.211610595508 | 3.78838940449192 |
| 59 | 105 | 102.198420357835 | 2.80157964216486 |
| 60 | 121 | 116.587642926263 | 4.41235707373734 |
| 61 | 109 | 105.62106008115 | 3.3789399188499 |
| 62 | 106 | 104.3961045041 | 1.6038954958996 |
| 63 | 124 | 122.197483088346 | 1.80251691165359 |
| 64 | 120 | 119.172491546648 | 0.827508453352268 |
| 65 | 91 | 93.1656589323994 | -2.1656589323994 |
| 66 | 126 | 124.324517135503 | 1.67548286449743 |
| 67 | 138 | 139.139881336278 | -1.1398813362778 |
| 68 | 118 | 116.919819369555 | 1.08018063044546 |
| 69 | 128 | 127.612833923458 | 0.387166076542157 |
| 70 | 98 | 99.1766351634519 | -1.17663516345189 |
| 71 | 133 | 133.336570849217 | -0.336570849216645 |
| 72 | 130 | 129.729313775983 | 0.27068622401664 |
| 73 | 103 | 100.700929473222 | 2.29907052677833 |
| 74 | 124 | 124.696723658667 | -0.696723658666983 |
| 75 | 142 | 140.745168843101 | 1.25483115689899 |
| 76 | 96 | 98.2477427094932 | -2.24774270949319 |
| 77 | 93 | 92.9175287828719 | 0.0824712171280908 |
| 78 | 129 | 130.395161600933 | -1.39516160093278 |
| 79 | 150 | 150.028326641137 | -0.0283266411374103 |
| 80 | 88 | 87.4173868054334 | 0.582613194566637 |
| 81 | 125 | 123.697569420952 | 1.30243057904766 |
| 82 | 92 | 90.7689424525639 | 1.23105754743612 |
| 83 | 0 | 111.447780947973 | -111.447780947973 |
| 84 | 117 | 116.473182997127 | 0.526817002872573 |
| 85 | 112 | 112.745107563993 | -0.745107563993456 |
| 86 | 144 | 142.364574598703 | 1.63542540129676 |
| 87 | 130 | 128.81099035912 | 1.18900964088003 |
| 88 | 87 | 86.4668936859347 | 0.533106314065274 |
| 89 | 92 | 92.3702890499532 | -0.370289049953246 |
| 90 | 114 | 114.602246077232 | -0.602246077231821 |
| 91 | 81 | 79.5805283999823 | 1.4194716000177 |
| 92 | 127 | 125.897825556566 | 1.10217444343439 |
| 93 | 115 | 114.951223974609 | 0.0487760253905504 |
| 94 | 123 | 124.312829108106 | -1.31282910810598 |
| 95 | 115 | 114.946894803255 | 0.053105196744628 |
| 96 | 117 | 116.304098926433 | 0.695901073567129 |
| 97 | 117 | 115.279742618994 | 1.72025738100594 |
| 98 | 103 | 101.619361944625 | 1.38063805537502 |
| 99 | 108 | 107.162702367303 | 0.837297632697197 |
| 100 | 139 | 136.964233121511 | 2.03576687848945 |
| 101 | 113 | 111.244092967078 | 1.75590703292242 |
| 102 | 97 | 94.8136273491189 | 2.18637265088105 |
| 103 | 117 | 114.99430298562 | 2.00569701438009 |
| 104 | 133 | 131.73298650856 | 1.26701349144013 |
| 105 | 115 | 115.497149401714 | -0.497149401713677 |
| 106 | 103 | 104.665194896571 | -1.66519489657077 |
| 107 | 95 | 94.3776204986102 | 0.622379501389842 |
| 108 | 117 | 117.737428154032 | -0.737428154031801 |
| 109 | 113 | 112.525527530208 | 0.474472469791785 |
| 110 | 127 | 129.228056885628 | -2.22805688562788 |
| 111 | 126 | 125.305559344375 | 0.694440655624691 |
| 112 | 119 | 117.821066513978 | 1.17893348602182 |
| 113 | 97 | 94.0965107629689 | 2.90348923703108 |
| 114 | 105 | 104.243692447264 | 0.756307552735969 |
| 115 | 140 | 139.90405160587 | 0.0959483941300038 |
| 116 | 91 | 88.5504776269618 | 2.44952237303824 |
| 117 | 112 | 111.748933014259 | 0.251066985740911 |
| 118 | 113 | 113.150752710679 | -0.150752710678588 |
| 119 | 102 | 97.2064472861459 | 4.79355271385411 |
| 120 | 92 | 90.7866419020158 | 1.21335809798419 |
| 121 | 98 | 98.8542931778262 | -0.854293177826181 |
| 122 | 122 | 122.011193413138 | -0.0111934131379454 |
| 123 | 100 | 99.5597397939413 | 0.440260206058678 |
| 124 | 84 | 81.789468928012 | 2.21053107198805 |
| 125 | 142 | 138.051353784752 | 3.94864621524832 |
| 126 | 124 | 122.291478028484 | 1.7085219715158 |
| 127 | 137 | 134.350393232678 | 2.64960676732239 |
| 128 | 105 | 103.977226307002 | 1.02277369299788 |
| 129 | 106 | 104.852775327194 | 1.14722467280569 |
| 130 | 125 | 123.076426209004 | 1.92357379099648 |
| 131 | 104 | 102.462846273389 | 1.53715372661077 |
| 132 | 130 | 131.891035870383 | -1.89103587038285 |
| 133 | 79 | 79.7943343896671 | -0.794334389667141 |
| 134 | 108 | 108.589096908904 | -0.589096908904097 |
| 135 | 136 | 134.131688115737 | 1.86831188426262 |
| 136 | 98 | 96.4060485042791 | 1.59395149572094 |
| 137 | 120 | 124.098447067743 | -4.09844706774346 |
| 138 | 108 | 108.147704812266 | -0.147704812265783 |
| 139 | 139 | 139.279786605622 | -0.279786605622098 |
| 140 | 123 | 121.990056103737 | 1.00994389626335 |
| 141 | 90 | 87.6724419315785 | 2.32755806842149 |
| 142 | 119 | 118.885536292122 | 0.114463707878438 |
| 143 | 105 | 107.030248514225 | -2.03024851422489 |
| 144 | 110 | 107.779177027148 | 2.22082297285229 |
| 145 | 135 | 134.360263060501 | 0.639736939498564 |
| 146 | 101 | 97.3635640783436 | 3.6364359216564 |
| 147 | 114 | 112.260296224872 | 1.73970377512808 |
| 148 | 118 | 115.902263860254 | 2.09773613974619 |
| 149 | 120 | 117.956893616884 | 2.04310638311576 |
| 150 | 108 | 110.26544810174 | -2.26544810173988 |
| 151 | 114 | 110.963312641726 | 3.03668735827433 |
| 152 | 122 | 121.502051403468 | 0.497948596532432 |
| 153 | 132 | 129.97301518072 | 2.0269848192798 |
| 154 | 130 | 128.372450385638 | 1.6275496143618 |
| 155 | 130 | 131.305876240709 | -1.30587624070895 |
| 156 | 112 | 112.007567325017 | -0.00756732501655002 |
| 157 | 114 | 116.689650210149 | -2.68965021014875 |
| 158 | 103 | 103.812961875839 | -0.812961875838661 |
| 159 | 115 | 114.198360797825 | 0.801639202175054 |
| 160 | 108 | 106.016064690183 | 1.98393530981664 |
| 161 | 94 | 94.0825134813642 | -0.0825134813642288 |
| 162 | 105 | 104.819291596103 | 0.180708403896626 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 14 | 4.37971572817444e-46 | 8.75943145634887e-46 | 1 |
| 15 | 2.4018015158017e-61 | 4.8036030316034e-61 | 1 |
| 16 | 8.09310634289542e-76 | 1.61862126857908e-75 | 1 |
| 17 | 9.3369547915368e-95 | 1.86739095830736e-94 | 1 |
| 18 | 6.97723867835097e-111 | 1.39544773567019e-110 | 1 |
| 19 | 1.43777234274829e-119 | 2.87554468549659e-119 | 1 |
| 20 | 2.39466529359407e-134 | 4.78933058718815e-134 | 1 |
| 21 | 9.07425360021945e-153 | 1.81485072004389e-152 | 1 |
| 22 | 2.01933333201772e-171 | 4.03866666403545e-171 | 1 |
| 23 | 4.5926502320118e-178 | 9.1853004640236e-178 | 1 |
| 24 | 3.15035235338756e-194 | 6.30070470677512e-194 | 1 |
| 25 | 6.55607865702668e-217 | 1.31121573140534e-216 | 1 |
| 26 | 5.72329904172579e-230 | 1.14465980834516e-229 | 1 |
| 27 | 2.97398305932052e-244 | 5.94796611864103e-244 | 1 |
| 28 | 1.47234330088488e-261 | 2.94468660176976e-261 | 1 |
| 29 | 1.63990098977863e-266 | 3.27980197955726e-266 | 1 |
| 30 | 1.1581347793097e-294 | 2.3162695586194e-294 | 1 |
| 31 | 1.63326723045141e-308 | 3.26653446090283e-308 | 1 |
| 32 | 4.94065645841247e-324 | 9.88131291682493e-324 | 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 | 1.13155497657559e-314 | 5.65777488287794e-315 |
| 131 | 1 | 1.04184118023505e-303 | 5.20920590117525e-304 |
| 132 | 1 | 6.87638801704082e-286 | 3.43819400852041e-286 |
| 133 | 1 | 3.33724860107896e-265 | 1.66862430053948e-265 |
| 134 | 1 | 5.75283114650095e-267 | 2.87641557325048e-267 |
| 135 | 1 | 6.91065368555762e-251 | 3.45532684277881e-251 |
| 136 | 1 | 7.0247944791878e-226 | 3.5123972395939e-226 |
| 137 | 1 | 1.99748699018818e-208 | 9.9874349509409e-209 |
| 138 | 1 | 3.2391127024446e-200 | 1.6195563512223e-200 |
| 139 | 1 | 5.98901268530282e-183 | 2.99450634265141e-183 |
| 140 | 1 | 3.64869074461437e-164 | 1.82434537230718e-164 |
| 141 | 1 | 6.18608964716642e-149 | 3.09304482358321e-149 |
| 142 | 1 | 3.00859288870691e-139 | 1.50429644435346e-139 |
| 143 | 1 | 1.97773325643044e-126 | 9.88866628215219e-127 |
| 144 | 1 | 1.3452669708665e-109 | 6.72633485433248e-110 |
| 145 | 1 | 3.47321955883809e-96 | 1.73660977941905e-96 |
| 146 | 1 | 4.9022090314935e-76 | 2.45110451574675e-76 |
| 147 | 1 | 2.40267274352893e-60 | 1.20133637176447e-60 |
| 148 | 1 | 6.6064068824931e-49 | 3.30320344124655e-49 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 135 | 1 | NOK |
| 5% type I error level | 135 | 1 | NOK |
| 10% type I error level | 135 | 1 | NOK |
