| Multiple Linear Regression - Estimated Regression Equation |
| happiness[t] = + 32.7257088461299 -0.00116875052912139`CM+D`[t] -0.000623856008098606`PE+PC`[t] + 0.257591438280578depression[t] + 0.0551379081268023connected[t] -0.729313863506522separated[t] -0.0312671114293483populariteit[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) | 32.7257088461299 | 1.934693 | 16.9152 | 0 | 0 |
| `CM+D` | -0.00116875052912139 | 0.00651 | -0.1795 | 0.857835 | 0.428917 |
| `PE+PC` | -0.000623856008098606 | 0.008262 | -0.0755 | 0.939939 | 0.46997 |
| depression | 0.257591438280578 | 0.034434 | 7.4807 | 0 | 0 |
| connected | 0.0551379081268023 | 0.047194 | 1.1683 | 0.245013 | 0.122507 |
| separated | -0.729313863506522 | 0.028519 | -25.573 | 0 | 0 |
| populariteit | -0.0312671114293483 | 0.041816 | -0.7477 | 0.4561 | 0.22805 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.9302787057485 |
| R-squared | 0.865418470369105 |
| Adjusted R-squared | 0.85863284702637 |
| F-TEST (value) | 127.537062795529 |
| F-TEST (DF numerator) | 6 |
| F-TEST (DF denominator) | 119 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 0.491563435503502 |
| Sum Squared Residuals | 28.7545187237566 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 10 | 10.0704619564674 | -0.0704619564673938 |
| 2 | 10 | 10.0777903055909 | -0.0777903055909233 |
| 3 | 10 | 10.0867455023885 | -0.086745502388514 |
| 4 | 10 | 10.0829312407414 | -0.0829312407413582 |
| 5 | 10 | 10.0857346748335 | -0.0857346748335431 |
| 6 | 10 | 10.0869823868497 | -0.0869823868497424 |
| 7 | 13 | 12.6957495619462 | 0.304250438053798 |
| 8 | 10 | 10.0839420682963 | -0.0839420682963243 |
| 9 | 10 | 10.0150981597581 | -0.0150981597580739 |
| 10 | 13 | 13.1602695626281 | -0.160269562628054 |
| 11 | 10 | 10.0709278895018 | -0.0709278895018374 |
| 12 | 10 | 10.0639153863271 | -0.0639153863271092 |
| 13 | 10 | 10.0173566993292 | -0.0173566993292408 |
| 14 | 10 | 10.0869823868497 | -0.0869823868497414 |
| 15 | 13 | 12.7096166453215 | 0.290383354678493 |
| 16 | 10 | 10.0279544155784 | -0.027954415578409 |
| 17 | 10 | 10.0591614227235 | -0.0591614227235479 |
| 18 | 10 | 9.98351520238042 | 0.0164847976195778 |
| 19 | 10 | 10.0653999828045 | -0.0653999828045337 |
| 20 | 10 | 9.98850605044521 | 0.011493949554789 |
| 21 | 10 | 10.0862006078675 | -0.0862006078674913 |
| 22 | 13 | 12.6931751764267 | 0.306824823573268 |
| 23 | 13 | 13.1566843495536 | -0.156684349553614 |
| 24 | 10 | 10.0148612752968 | -0.0148612752968464 |
| 25 | 10 | 10.0175935837905 | -0.0175935837904685 |
| 26 | 10 | 10.0600932887914 | -0.0600932887914417 |
| 27 | 10 | 10.0716307069970 | -0.0716307069970119 |
| 28 | 10 | 10.0788011331459 | -0.0788011331458917 |
| 29 | 10 | 10.0012310763828 | -0.00123107638276915 |
| 30 | 10 | 9.9746389670699 | 0.0253610329300939 |
| 31 | 10 | 10.0221896244199 | -0.022189624419878 |
| 32 | 13 | 13.1353309940811 | -0.135330994081126 |
| 33 | 10 | 9.9989647009231 | 0.00103529907690594 |
| 34 | 10 | 10.0161089873130 | -0.0161089873130436 |
| 35 | 10 | 10.0821494617591 | -0.0821494617591044 |
| 36 | 10 | 10.0232004519748 | -0.0232004519748476 |
| 37 | 10 | 10.0829312407414 | -0.0829312407413545 |
| 38 | 15 | 10.7048516835735 | 4.29514831642646 |
| 39 | 10 | 10.0745131025763 | -0.0745131025762774 |
| 40 | 10 | 10.0649340497706 | -0.064934049770587 |
| 41 | 13 | 12.0331399977715 | 0.966860002228478 |
| 42 | 10 | 10.0851897803125 | -0.0851897803125216 |
| 43 | 10 | 10.0816835287252 | -0.0816835287251572 |
| 44 | 10 | 9.99716425849737 | 0.00283574150263418 |
| 45 | 10 | 10.0711647739631 | -0.071164773963065 |
| 46 | 10 | 10.0793460276669 | -0.0793460276669146 |
| 47 | 10 | 10.0875272813708 | -0.0875272813707642 |
| 48 | 10 | 10.1001544886184 | -0.100154488618380 |
| 49 | 10 | 10.0822284232462 | -0.0822284232461802 |
| 50 | 13 | 13.1619832076782 | -0.161983207678198 |
| 51 | 13 | 12.6920853873847 | 0.307914612615313 |
| 52 | 10 | 10.0798909221879 | -0.0798909221879374 |
| 53 | 10 | 9.98858501193229 | 0.0114149880677129 |
| 54 | 10 | 10.0717886299712 | -0.0717886299711634 |
| 55 | 10 | 10.0833971737753 | -0.0833971737753014 |
| 56 | 10 | 10.0935289569905 | -0.0935289569905232 |
| 57 | 10 | 10.0811386342041 | -0.0811386342041346 |
| 58 | 10 | 10.0127606586998 | -0.0127606586998311 |
| 59 | 10 | 10.0865164538158 | -0.0865164538157945 |
| 60 | 10 | 10.0686693499307 | -0.0686693499306705 |
| 61 | 10 | 10.0752159200715 | -0.075215920071452 |
| 62 | 10 | 10.0781772771378 | -0.0781772771377933 |
| 63 | 10 | 10.0858136363206 | -0.08581363632062 |
| 64 | 10 | 10.0763057091135 | -0.0763057091134973 |
| 65 | 10 | 10.0817624902122 | -0.0817624902122332 |
| 66 | 10 | 10.0092544071125 | -0.00925440711246686 |
| 67 | 10 | 10.0090964841383 | -0.00909648413831532 |
| 68 | 10 | 9.99551855361994 | 0.00448144638006073 |
| 69 | 13 | 12.6912246469154 | 0.30877535308464 |
| 70 | 13 | 12.6888160202585 | 0.31118397974145 |
| 71 | 10 | 10.0149402367839 | -0.0149402367839222 |
| 72 | 13 | 12.6939569554090 | 0.306043044591017 |
| 73 | 13 | 12.6956706004591 | 0.304329399540874 |
| 74 | 10 | 10.0637574633530 | -0.0637574633529576 |
| 75 | 10 | 10.0062140885590 | -0.00621408855904971 |
| 76 | 10 | 10.1029579227106 | -0.102957922710569 |
| 77 | 13 | 13.1651814492058 | -0.165181449205767 |
| 78 | 13 | 13.1549707045035 | -0.154970704503469 |
| 79 | 10 | 10.0833971737753 | -0.0833971737753014 |
| 80 | 10 | 9.99818292194084 | 0.00181707805915638 |
| 81 | 10 | 10.0599432017058 | -0.0599432017057981 |
| 82 | 10 | 10.0614199622947 | -0.0614199622947148 |
| 83 | 11 | 13.1380364364821 | -2.13803643648213 |
| 84 | 10 | 9.98125666280925 | 0.0187433371907447 |
| 85 | 10 | 10.0772375751814 | -0.0772375751813913 |
| 86 | 10 | 10.0103441961545 | -0.0103441961545127 |
| 87 | 10 | 9.97985886370742 | 0.0201411362925855 |
| 88 | 10 | 10.0847238472786 | -0.0847238472785746 |
| 89 | 10 | 10.0763057091135 | -0.0763057091134973 |
| 90 | 13 | 13.1580110230569 | -0.158011023056887 |
| 91 | 10 | 9.9990248052073 | 0.000975194792696533 |
| 92 | 10 | 10.0071459546269 | -0.00714595462694355 |
| 93 | 10 | 10.0111971007353 | -0.0111971007353305 |
| 94 | 10 | 10.0998386426701 | -0.0998386426700767 |
| 95 | 13 | 13.1606565341749 | -0.160656534174925 |
| 96 | 10 | 10.0871403098239 | -0.0871403098238931 |
| 97 | 10 | 10.0686693499307 | -0.0686693499306705 |
| 98 | 13 | 13.1617541591055 | -0.161754159105478 |
| 99 | 10 | 10.0756107275068 | -0.075610727506831 |
| 100 | 10 | 10.0881511373789 | -0.0881511373788627 |
| 101 | 10 | 10.0090175226512 | -0.00901752265123949 |
| 102 | 10 | 10.0323214076351 | -0.0323214076350992 |
| 103 | 10 | 10.0742840540036 | -0.074284054003558 |
| 104 | 10 | 10.0148612752968 | -0.0148612752968464 |
| 105 | 10 | 10.0936079184776 | -0.0936079184775984 |
| 106 | 10 | 10.0186044113454 | -0.018604411345438 |
| 107 | 13 | 13.1583979946038 | -0.158397994603758 |
| 108 | 13 | 13.1386871585828 | -0.138687158582846 |
| 109 | 10 | 9.99372594708272 | 0.00627405291728074 |
| 110 | 13 | 13.1651024877187 | -0.165102487718691 |
| 111 | 12 | 13.1894170945533 | -1.18941709455326 |
| 112 | 10 | 9.98663448242091 | 0.0133655175790848 |
| 113 | 13 | 12.0490365721453 | 0.950963427854726 |
| 114 | 15 | 14.9024968828071 | 0.097503117192856 |
| 115 | 10 | 9.96355964600978 | 0.0364403539902252 |
| 116 | 10 | 10.0796618736152 | -0.079661873615218 |
| 117 | 13 | 12.6829644317244 | 0.317035568275565 |
| 118 | 13 | 12.0281569855952 | 0.97184301440476 |
| 119 | 10 | 10.0215657684118 | -0.0215657684117795 |
| 120 | 10 | 10.0869034253627 | -0.0869034253626654 |
| 121 | 10 | 10.0791881046928 | -0.0791881046927629 |
| 122 | 10 | 9.96012133459513 | 0.0398786654048715 |
| 123 | 10 | 10.0002913744264 | -0.000291374426367053 |
| 124 | 10 | 10.0724046500908 | -0.0724046500907541 |
| 125 | 10 | 10.0727204960391 | -0.0727204960390575 |
| 126 | 10 | 10.0524569296086 | -0.0524569296086148 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 10 | 8.83013093180728e-43 | 1.76602618636146e-42 | 1 |
| 11 | 1.08465622154546e-58 | 2.16931244309092e-58 | 1 |
| 12 | 1.09659168800411e-69 | 2.19318337600821e-69 | 1 |
| 13 | 2.98455877552724e-79 | 5.96911755105449e-79 | 1 |
| 14 | 5.10804753786775e-95 | 1.02160950757355e-94 | 1 |
| 15 | 5.99434363674468e-110 | 1.19886872734894e-109 | 1 |
| 16 | 5.66025037969224e-132 | 1.13205007593845e-131 | 1 |
| 17 | 2.01321513114805e-148 | 4.0264302622961e-148 | 1 |
| 18 | 1.54733406108098e-148 | 3.09466812216196e-148 | 1 |
| 19 | 1.03139027202500e-157 | 2.06278054405000e-157 | 1 |
| 20 | 3.88378685574442e-179 | 7.76757371148885e-179 | 1 |
| 21 | 2.79428443935583e-183 | 5.58856887871167e-183 | 1 |
| 22 | 1.16892314522556e-196 | 2.33784629045111e-196 | 1 |
| 23 | 1.81249244387596e-211 | 3.62498488775193e-211 | 1 |
| 24 | 2.69161520820935e-230 | 5.3832304164187e-230 | 1 |
| 25 | 5.91256365877058e-250 | 1.18251273175412e-249 | 1 |
| 26 | 1.87431952670911e-250 | 3.74863905341822e-250 | 1 |
| 27 | 2.8844229536109e-258 | 5.7688459072218e-258 | 1 |
| 28 | 9.10235168140344e-276 | 1.82047033628069e-275 | 1 |
| 29 | 1.09847985134083e-290 | 2.19695970268167e-290 | 1 |
| 30 | 3.55917581701102e-302 | 7.11835163402204e-302 | 1 |
| 31 | 2.28196275643009e-305 | 4.56392551286019e-305 | 1 |
| 32 | 9.82839848615533e-319 | 1.96567969723107e-318 | 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 | 0.999999924507301 | 1.50985397448662e-07 | 7.5492698724331e-08 |
| 42 | 0.99999985750647 | 2.84987058412926e-07 | 1.42493529206463e-07 |
| 43 | 0.9999997235713 | 5.52857401190861e-07 | 2.76428700595431e-07 |
| 44 | 0.999999566432592 | 8.67134815165369e-07 | 4.33567407582685e-07 |
| 45 | 0.999999143473812 | 1.71305237614954e-06 | 8.56526188074769e-07 |
| 46 | 0.999998373237483 | 3.25352503334584e-06 | 1.62676251667292e-06 |
| 47 | 0.999997117849537 | 5.76430092619818e-06 | 2.88215046309909e-06 |
| 48 | 0.999995603041819 | 8.79391636256788e-06 | 4.39695818128394e-06 |
| 49 | 0.999991987594095 | 1.60248118104190e-05 | 8.01240590520948e-06 |
| 50 | 0.999989178318649 | 2.16433627028353e-05 | 1.08216813514177e-05 |
| 51 | 0.999986005771879 | 2.79884562428831e-05 | 1.39942281214415e-05 |
| 52 | 0.999975127610084 | 4.97447798321957e-05 | 2.48723899160979e-05 |
| 53 | 0.999956051989948 | 8.7896020104203e-05 | 4.39480100521015e-05 |
| 54 | 0.999924343930588 | 0.000151312138822932 | 7.56560694114658e-05 |
| 55 | 0.999873098193564 | 0.000253803612871895 | 0.000126901806435947 |
| 56 | 0.999798318792344 | 0.000403362415311543 | 0.000201681207655772 |
| 57 | 0.999670253460022 | 0.000659493079956061 | 0.000329746539978030 |
| 58 | 0.999464176699784 | 0.00107164660043254 | 0.000535823300216271 |
| 59 | 0.999162104149033 | 0.00167579170193331 | 0.000837895850966655 |
| 60 | 0.998687581394603 | 0.00262483721079345 | 0.00131241860539672 |
| 61 | 0.997977085608648 | 0.00404582878270319 | 0.00202291439135159 |
| 62 | 0.996937243636144 | 0.00612551272771162 | 0.00306275636385581 |
| 63 | 0.995472707608716 | 0.00905458478256903 | 0.00452729239128451 |
| 64 | 0.993337811306546 | 0.0133243773869074 | 0.00666218869345368 |
| 65 | 0.990413745116294 | 0.0191725097674117 | 0.00958625488370583 |
| 66 | 0.98636501638295 | 0.0272699672340994 | 0.0136349836170497 |
| 67 | 0.980867746018381 | 0.0382645079632372 | 0.0191322539816186 |
| 68 | 0.973698644178589 | 0.0526027116428226 | 0.0263013558214113 |
| 69 | 0.969373198765957 | 0.0612536024680869 | 0.0306268012340434 |
| 70 | 0.962223258699357 | 0.0755534826012865 | 0.0377767413006432 |
| 71 | 0.949413222364753 | 0.101173555270494 | 0.050586777635247 |
| 72 | 0.94113447554696 | 0.117731048906079 | 0.0588655244530397 |
| 73 | 0.941492234013814 | 0.117015531972373 | 0.0585077659861863 |
| 74 | 0.924047984522571 | 0.151904030954857 | 0.0759520154774286 |
| 75 | 0.902451495616986 | 0.195097008766029 | 0.0975485043830144 |
| 76 | 0.879790061126095 | 0.240419877747809 | 0.120209938873905 |
| 77 | 0.858665473974913 | 0.282669052050175 | 0.141334526025087 |
| 78 | 0.829380612139558 | 0.341238775720883 | 0.170619387860442 |
| 79 | 0.791498175508363 | 0.417003648983274 | 0.208501824491637 |
| 80 | 0.74999914963579 | 0.500001700728419 | 0.250000850364210 |
| 81 | 0.706872891527878 | 0.586254216944243 | 0.293127108472122 |
| 82 | 0.659074378612428 | 0.681851242775144 | 0.340925621387572 |
| 83 | 0.999997375304845 | 5.24939030904417e-06 | 2.62469515452208e-06 |
| 84 | 0.999994396502726 | 1.12069945487489e-05 | 5.60349727437443e-06 |
| 85 | 0.999988300258748 | 2.33994825040600e-05 | 1.16997412520300e-05 |
| 86 | 0.999976159710004 | 4.76805799912004e-05 | 2.38402899956002e-05 |
| 87 | 0.999952547202627 | 9.4905594745477e-05 | 4.74527973727385e-05 |
| 88 | 0.999907252157487 | 0.000185495685026412 | 9.2747842513206e-05 |
| 89 | 0.999822429686086 | 0.000355140627826988 | 0.000177570313913494 |
| 90 | 0.999683127911635 | 0.000633744176730043 | 0.000316872088365022 |
| 91 | 0.999420447892973 | 0.00115910421405375 | 0.000579552107026875 |
| 92 | 0.9989507313243 | 0.00209853735140014 | 0.00104926867570007 |
| 93 | 0.998133974417308 | 0.00373205116538373 | 0.00186602558269186 |
| 94 | 0.99684461838184 | 0.00631076323632036 | 0.00315538161816018 |
| 95 | 0.995041758050863 | 0.0099164838982749 | 0.00495824194913745 |
| 96 | 0.991756187496236 | 0.0164876250075279 | 0.00824381250376395 |
| 97 | 0.98682357536297 | 0.0263528492740580 | 0.0131764246370290 |
| 98 | 0.979926581989647 | 0.0401468360207057 | 0.0200734180103529 |
| 99 | 0.969997479349275 | 0.0600050413014505 | 0.0300025206507252 |
| 100 | 0.954354547914065 | 0.0912909041718701 | 0.0456454520859351 |
| 101 | 0.932515623304531 | 0.134968753390938 | 0.0674843766954688 |
| 102 | 0.902674218327454 | 0.194651563345091 | 0.0973257816725456 |
| 103 | 0.867634252140791 | 0.264731495718418 | 0.132365747859209 |
| 104 | 0.817811601659946 | 0.364376796680108 | 0.182188398340054 |
| 105 | 0.756804909487002 | 0.486390181025997 | 0.243195090512998 |
| 106 | 0.684207070841713 | 0.631585858316575 | 0.315792929158287 |
| 107 | 0.622093547165782 | 0.755812905668436 | 0.377906452834218 |
| 108 | 0.53295716146889 | 0.93408567706222 | 0.46704283853111 |
| 109 | 0.440338297422117 | 0.880676594844234 | 0.559661702577883 |
| 110 | 0.438812568335797 | 0.877625136671593 | 0.561187431664203 |
| 111 | 1 | 3.72951415095656e-109 | 1.86475707547828e-109 |
| 112 | 1 | 4.03736646539224e-104 | 2.01868323269612e-104 |
| 113 | 1 | 2.09856276210415e-90 | 1.04928138105207e-90 |
| 114 | 1 | 6.31932594813159e-72 | 3.15966297406580e-72 |
| 115 | 1 | 2.32062277524296e-56 | 1.16031138762148e-56 |
| 116 | 1 | 7.37155670038881e-46 | 3.68577835019441e-46 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 73 | 0.682242990654206 | NOK |
| 5% type I error level | 80 | 0.747663551401869 | NOK |
| 10% type I error level | 85 | 0.794392523364486 | NOK |
