| Multiple Linear Regression - Estimated Regression Equation |
| Perceived_happiness[t] = + 17.1715157230984 -0.416465963958886Doubts_about_actions[t] + 0.113485164740974Parental_expectations[t] + 0.0461100852218752Personal_standards[t] -0.0662166842626288Organization[t] + 0.00538992359532798t + 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) | 17.1715157230984 | 2.483115 | 6.9153 | 0 | 0 |
| Doubts_about_actions | -0.416465963958886 | 0.099705 | -4.177 | 8e-05 | 4e-05 |
| Parental_expectations | 0.113485164740974 | 0.092264 | 1.23 | 0.222591 | 0.111296 |
| Personal_standards | 0.0461100852218752 | 0.064902 | 0.7105 | 0.479652 | 0.239826 |
| Organization | -0.0662166842626288 | 0.076932 | -0.8607 | 0.392172 | 0.196086 |
| t | 0.00538992359532798 | 0.011059 | 0.4874 | 0.627446 | 0.313723 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.468551377754906 |
| R-squared | 0.219540393596021 |
| Adjusted R-squared | 0.166806636406563 |
| F-TEST (value) | 4.16318512650771 |
| F-TEST (DF numerator) | 5 |
| F-TEST (DF denominator) | 74 |
| p-value | 0.00218216744827227 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.26281152301808 |
| Sum Squared Residuals | 378.903383164052 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 10 | 11.9797272179168 | -1.97972721791676 |
| 2 | 14 | 13.0253345124346 | 0.974665487565415 |
| 3 | 18 | 16.3460229608182 | 1.65397703918180 |
| 4 | 15 | 12.6834433785580 | 2.31655662144197 |
| 5 | 18 | 14.984864480187 | 3.01513551981301 |
| 6 | 11 | 13.4951556332383 | -2.49515563323826 |
| 7 | 17 | 13.7902573848088 | 3.20974261519124 |
| 8 | 19 | 13.5518279110520 | 5.44817208894804 |
| 9 | 7 | 11.2454959840000 | -4.24549598399995 |
| 10 | 12 | 13.4324911802303 | -1.4324911802303 |
| 11 | 13 | 12.6924308544677 | 0.307569145532292 |
| 12 | 15 | 13.7385571770796 | 1.26144282292036 |
| 13 | 14 | 14.3930780548676 | -0.393078054867631 |
| 14 | 14 | 13.1287458329467 | 0.871254167053282 |
| 15 | 16 | 13.5233406919566 | 2.47665930804337 |
| 16 | 16 | 16.6850732575398 | -0.685073257539783 |
| 17 | 12 | 14.2264054208865 | -2.22640542088649 |
| 18 | 12 | 15.0360844302487 | -3.03608443024868 |
| 19 | 13 | 15.2966658129133 | -2.29666581291331 |
| 20 | 16 | 13.1142367750277 | 2.88576322497229 |
| 21 | 9 | 11.9560330619557 | -2.95603306195568 |
| 22 | 11 | 13.0254397958825 | -2.02543979588253 |
| 23 | 14 | 15.1373652630345 | -1.13736526303455 |
| 24 | 11 | 14.3148785523015 | -3.31487855230154 |
| 25 | 17 | 14.5248154158251 | 2.47518458417488 |
| 26 | 14 | 15.1618536223319 | -1.16185362233186 |
| 27 | 15 | 15.2602995461706 | -0.260299546170558 |
| 28 | 11 | 11.2959033237003 | -0.295903323700252 |
| 29 | 15 | 13.6023797189186 | 1.39762028108135 |
| 30 | 14 | 11.3586843795018 | 2.64131562049816 |
| 31 | 11 | 14.2180600848192 | -3.21806008481918 |
| 32 | 12 | 13.5224324209279 | -1.52243242092792 |
| 33 | 9 | 14.4068585939116 | -5.40685859391158 |
| 34 | 16 | 15.0521104780716 | 0.947889521928377 |
| 35 | 13 | 14.0062335344841 | -1.00623353448410 |
| 36 | 15 | 12.8830828150461 | 2.11691718495388 |
| 37 | 10 | 12.4481081881669 | -2.44810818816686 |
| 38 | 13 | 13.2372588859247 | -0.237258885924736 |
| 39 | 16 | 13.6470196257030 | 2.35298037429704 |
| 40 | 15 | 15.2014122017302 | -0.201412201730163 |
| 41 | 13 | 12.5266252376418 | 0.473374762358168 |
| 42 | 16 | 13.6688686290305 | 2.33113137096951 |
| 43 | 15 | 14.4427715586998 | 0.557228441300185 |
| 44 | 16 | 12.2230642884464 | 3.77693571155356 |
| 45 | 15 | 14.4789155249092 | 0.521084475090796 |
| 46 | 13 | 14.2475413335492 | -1.24754133354925 |
| 47 | 11 | 13.7161425006467 | -2.71614250064671 |
| 48 | 17 | 13.8670171094112 | 3.13298289058879 |
| 49 | 10 | 13.3187749723898 | -3.31877497238980 |
| 50 | 17 | 14.7828424559226 | 2.21715754407737 |
| 51 | 14 | 12.3878704550543 | 1.61212954494570 |
| 52 | 15 | 13.6163379826396 | 1.38366201736037 |
| 53 | 16 | 14.9346039792977 | 1.06539602070226 |
| 54 | 12 | 13.4789937886913 | -1.47899378869132 |
| 55 | 11 | 13.3650016604053 | -2.36500166040531 |
| 56 | 16 | 15.5209380768651 | 0.479061923134904 |
| 57 | 9 | 11.6443403346602 | -2.64434033466018 |
| 58 | 15 | 14.0517696060697 | 0.948230393930283 |
| 59 | 15 | 14.0800046317823 | 0.919995368217702 |
| 60 | 13 | 13.1960397286706 | -0.196039728670561 |
| 61 | 15 | 14.7280070835679 | 0.271992916432120 |
| 62 | 15 | 14.0080533568460 | 0.99194664315396 |
| 63 | 18 | 15.3931754049292 | 2.60682459507083 |
| 64 | 16 | 11.9362020107470 | 4.06379798925298 |
| 65 | 12 | 12.7302952583535 | -0.73029525835352 |
| 66 | 15 | 15.2520667162652 | -0.252066716265249 |
| 67 | 13 | 15.7559348715538 | -2.75593487155382 |
| 68 | 13 | 15.0607213248986 | -2.06072132489861 |
| 69 | 13 | 12.8403958794444 | 0.159604120555556 |
| 70 | 14 | 13.5041760864014 | 0.495823913598601 |
| 71 | 15 | 14.0593011722805 | 0.940698827719508 |
| 72 | 11 | 13.2124941624682 | -2.21249416246822 |
| 73 | 14 | 14.3584303942251 | -0.358430394225115 |
| 74 | 17 | 14.7987154574695 | 2.20128454253047 |
| 75 | 13 | 14.3846832594306 | -1.38468325943065 |
| 76 | 12 | 14.5777864832943 | -2.57778648329434 |
| 77 | 13 | 13.5554758963067 | -0.555475896306692 |
| 78 | 16 | 14.1770410847986 | 1.82295891520145 |
| 79 | 13 | 14.8112319451956 | -1.81123194519565 |
| 80 | 19 | 15.6778798371541 | 3.32212016284588 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 9 | 0.857396735787115 | 0.28520652842577 | 0.142603264212885 |
| 10 | 0.788207381060675 | 0.423585237878650 | 0.211792618939325 |
| 11 | 0.73375289793857 | 0.53249420412286 | 0.26624710206143 |
| 12 | 0.630099341264958 | 0.739801317470084 | 0.369900658735042 |
| 13 | 0.588621077856228 | 0.822757844287544 | 0.411378922143772 |
| 14 | 0.609699389021423 | 0.780601221957154 | 0.390300610978577 |
| 15 | 0.537566223831791 | 0.924867552336417 | 0.462433776168209 |
| 16 | 0.536157436869718 | 0.927685126260565 | 0.463842563130282 |
| 17 | 0.712562981888567 | 0.574874036222866 | 0.287437018111433 |
| 18 | 0.829295614219036 | 0.341408771561928 | 0.170704385780964 |
| 19 | 0.785023003734198 | 0.429953992531603 | 0.214976996265802 |
| 20 | 0.802439784855335 | 0.395120430289331 | 0.197560215144665 |
| 21 | 0.820832071339266 | 0.358335857321468 | 0.179167928660734 |
| 22 | 0.804173981494126 | 0.391652037011749 | 0.195826018505874 |
| 23 | 0.746807456992467 | 0.506385086015065 | 0.253192543007533 |
| 24 | 0.734669975599321 | 0.530660048801357 | 0.265330024400679 |
| 25 | 0.811222225213158 | 0.377555549573684 | 0.188777774786842 |
| 26 | 0.786456790895471 | 0.427086418209057 | 0.213543209104529 |
| 27 | 0.728954277925585 | 0.542091444148831 | 0.271045722074415 |
| 28 | 0.670625106808368 | 0.658749786383265 | 0.329374893191632 |
| 29 | 0.643975038019117 | 0.712049923961765 | 0.356024961980883 |
| 30 | 0.773255194369316 | 0.453489611261368 | 0.226744805630684 |
| 31 | 0.815795972546519 | 0.368408054906962 | 0.184204027453481 |
| 32 | 0.777830477089314 | 0.444339045821373 | 0.222169522910687 |
| 33 | 0.91736572426761 | 0.165268551464779 | 0.0826342757323897 |
| 34 | 0.907922378142143 | 0.184155243715713 | 0.0920776218578567 |
| 35 | 0.879484895874094 | 0.241030208251812 | 0.120515104125906 |
| 36 | 0.909244244216089 | 0.181511511567823 | 0.0907557557839113 |
| 37 | 0.907613727371596 | 0.184772545256808 | 0.0923862726284042 |
| 38 | 0.885117749535182 | 0.229764500929635 | 0.114882250464818 |
| 39 | 0.906703775670305 | 0.18659244865939 | 0.093296224329695 |
| 40 | 0.87779785648793 | 0.244404287024139 | 0.122202143512070 |
| 41 | 0.844902891991057 | 0.310194216017886 | 0.155097108008943 |
| 42 | 0.845253193041498 | 0.309493613917003 | 0.154746806958502 |
| 43 | 0.803955462444183 | 0.392089075111634 | 0.196044537555817 |
| 44 | 0.879202287307154 | 0.241595425385691 | 0.120797712692846 |
| 45 | 0.843133051966385 | 0.313733896067229 | 0.156866948033615 |
| 46 | 0.809077314387473 | 0.381845371225054 | 0.190922685612527 |
| 47 | 0.8373617271729 | 0.325276545654201 | 0.162638272827101 |
| 48 | 0.879670746212441 | 0.240658507575117 | 0.120329253787559 |
| 49 | 0.926793414853729 | 0.146413170292542 | 0.0732065851462712 |
| 50 | 0.927567816614352 | 0.144864366771296 | 0.0724321833856482 |
| 51 | 0.920020604564565 | 0.159958790870869 | 0.0799793954354347 |
| 52 | 0.906475596817385 | 0.187048806365229 | 0.0935244031826147 |
| 53 | 0.876674494769132 | 0.246651010461737 | 0.123325505230868 |
| 54 | 0.851093648651238 | 0.297812702697524 | 0.148906351348762 |
| 55 | 0.84896559327006 | 0.302068813459881 | 0.151034406729940 |
| 56 | 0.798939676309967 | 0.402120647380067 | 0.201060323690034 |
| 57 | 0.849727389479749 | 0.300545221040501 | 0.150272610520251 |
| 58 | 0.799224020136398 | 0.401551959727205 | 0.200775979863602 |
| 59 | 0.745356752886664 | 0.509286494226672 | 0.254643247113336 |
| 60 | 0.673326510131194 | 0.653346979737613 | 0.326673489868806 |
| 61 | 0.590667624271953 | 0.818664751456095 | 0.409332375728047 |
| 62 | 0.529950760937303 | 0.940098478125393 | 0.470049239062697 |
| 63 | 0.677821772995044 | 0.644356454009913 | 0.322178227004956 |
| 64 | 0.733803147434432 | 0.532393705131135 | 0.266196852565568 |
| 65 | 0.698293362643771 | 0.603413274712459 | 0.301706637356229 |
| 66 | 0.641689149771271 | 0.716621700457457 | 0.358310850228729 |
| 67 | 0.649396321113407 | 0.701207357773185 | 0.350603678886593 |
| 68 | 0.708884209824166 | 0.582231580351668 | 0.291115790175834 |
| 69 | 0.708092290978423 | 0.583815418043155 | 0.291907709021577 |
| 70 | 0.568896638305785 | 0.86220672338843 | 0.431103361694215 |
| 71 | 0.579367048663399 | 0.841265902673202 | 0.420632951336601 |
| 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 | 0 | 0 | OK |
| 10% type I error level | 0 | 0 | OK |
