| Multiple Linear Regression - Estimated Regression Equation |
| Happiness[t] = + 12.3751128387548 -0.00276337145016942Connected[t] + 0.0188561700784349Separate[t] + 0.182173267297123Learning[t] -0.0247186129204436Software[t] -0.283783772489723Depression[t] + 0.0797578146324659Belonging[t] -0.0774055262087711Belonging_Final[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) | 12.3751128387548 | 5.125311 | 2.4145 | 0.018932 | 0.009466 |
| Connected | -0.00276337145016942 | 0.099714 | -0.0277 | 0.977986 | 0.488993 |
| Separate | 0.0188561700784349 | 0.113144 | 0.1667 | 0.86822 | 0.43411 |
| Learning | 0.182173267297123 | 0.165518 | 1.1006 | 0.275608 | 0.137804 |
| Software | -0.0247186129204436 | 0.162056 | -0.1525 | 0.879298 | 0.439649 |
| Depression | -0.283783772489723 | 0.101878 | -2.7855 | 0.007208 | 0.003604 |
| Belonging | 0.0797578146324659 | 0.101817 | 0.7833 | 0.436613 | 0.218306 |
| Belonging_Final | -0.0774055262087711 | 0.173014 | -0.4474 | 0.656257 | 0.328129 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.466750254948674 |
| R-squared | 0.217855800494652 |
| Adjusted R-squared | 0.123459086761248 |
| F-TEST (value) | 2.30787483884155 |
| F-TEST (DF numerator) | 7 |
| F-TEST (DF denominator) | 58 |
| p-value | 0.0380297583234155 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.3255089370339 |
| Sum Squared Residuals | 313.663525341024 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 14 | 13.394760259059 | 0.605239740940966 |
| 2 | 18 | 15.303475053695 | 2.69652494630498 |
| 3 | 11 | 14.0827013829519 | -3.08270138295189 |
| 4 | 12 | 14.260731004261 | -2.26073100426104 |
| 5 | 16 | 11.7494007607249 | 4.25059923927513 |
| 6 | 18 | 14.1239346555751 | 3.8760653444249 |
| 7 | 14 | 11.136468059252 | 2.86353194074803 |
| 8 | 14 | 14.8126516498239 | -0.812651649823897 |
| 9 | 15 | 14.7703916849189 | 0.229608315081099 |
| 10 | 15 | 14.308035027902 | 0.691964972097961 |
| 11 | 17 | 15.1923909904672 | 1.8076090095328 |
| 12 | 19 | 15.0171596162701 | 3.98284038372991 |
| 13 | 10 | 13.3842044903632 | -3.38420449036324 |
| 14 | 16 | 13.4063101602154 | 2.59368983978457 |
| 15 | 18 | 15.7063654831082 | 2.2936345168918 |
| 16 | 14 | 13.2112957096604 | 0.788704290339575 |
| 17 | 14 | 13.8900563924952 | 0.109943607504821 |
| 18 | 17 | 16.0506489525225 | 0.949351047477537 |
| 19 | 14 | 15.0841257214231 | -1.08412572142306 |
| 20 | 16 | 13.5786387647364 | 2.42136123526363 |
| 21 | 18 | 15.6557088833219 | 2.34429111667807 |
| 22 | 11 | 13.5368539449053 | -2.53685394490534 |
| 23 | 14 | 14.4709602812454 | -0.470960281245358 |
| 24 | 12 | 13.2805865976241 | -1.28058659762405 |
| 25 | 17 | 15.4576800206243 | 1.54231997937574 |
| 26 | 9 | 15.8293271142706 | -6.82932711427065 |
| 27 | 16 | 15.2147183545468 | 0.785281645453216 |
| 28 | 14 | 13.2088277714803 | 0.79117222851966 |
| 29 | 15 | 14.2892121622778 | 0.710787837722245 |
| 30 | 11 | 13.4553928198156 | -2.4553928198156 |
| 31 | 16 | 15.2870971743673 | 0.712902825632739 |
| 32 | 13 | 12.38801259423 | 0.611987405770031 |
| 33 | 17 | 14.657178467516 | 2.34282153248398 |
| 34 | 15 | 14.9951219405263 | 0.00487805947364989 |
| 35 | 14 | 14.0625028385842 | -0.062502838584209 |
| 36 | 16 | 13.9978126513759 | 2.00218734862411 |
| 37 | 9 | 11.0379997369063 | -2.03799973690633 |
| 38 | 15 | 14.0806494083027 | 0.919350591697271 |
| 39 | 17 | 15.2102044682476 | 1.78979553175236 |
| 40 | 13 | 14.9826539821113 | -1.98265398211132 |
| 41 | 15 | 15.4086273361583 | -0.408627336158283 |
| 42 | 16 | 13.7602343385447 | 2.23976566145529 |
| 43 | 16 | 15.62845776364 | 0.371542236359953 |
| 44 | 12 | 12.9787502971027 | -0.978750297102741 |
| 45 | 12 | 14.2319527102847 | -2.23195271028467 |
| 46 | 11 | 13.2782379373573 | -2.27823793735725 |
| 47 | 15 | 14.5363455026269 | 0.46365449737307 |
| 48 | 15 | 14.6852860253425 | 0.314713974657488 |
| 49 | 17 | 14.0293230588466 | 2.97067694115341 |
| 50 | 13 | 14.504270473926 | -1.504270473926 |
| 51 | 16 | 15.0708128866521 | 0.92918711334792 |
| 52 | 14 | 13.430189384826 | 0.569810615174007 |
| 53 | 11 | 11.8510243647637 | -0.851024364763722 |
| 54 | 12 | 13.0024804679711 | -1.00248046797109 |
| 55 | 12 | 13.5225706168739 | -1.52257061687386 |
| 56 | 15 | 14.296508512624 | 0.70349148737597 |
| 57 | 16 | 14.256240617615 | 1.74375938238497 |
| 58 | 15 | 15.0929212982747 | -0.0929212982746733 |
| 59 | 12 | 15.0684296015498 | -3.06842960154981 |
| 60 | 12 | 13.5849435781648 | -1.58494357816483 |
| 61 | 8 | 10.9077452616139 | -2.90774526161385 |
| 62 | 13 | 14.7820612054523 | -1.78206120545232 |
| 63 | 11 | 14.7625336354905 | -3.76253363549055 |
| 64 | 14 | 13.0027975101398 | 0.997202489860154 |
| 65 | 15 | 13.5471989864865 | 1.45280101351349 |
| 66 | 10 | 15.2178095959669 | -5.21780959596685 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 11 | 0.0418563792485857 | 0.0837127584971715 | 0.958143620751414 |
| 12 | 0.776516243765631 | 0.446967512468738 | 0.223483756234369 |
| 13 | 0.933256133569989 | 0.133487732860022 | 0.0667438664300109 |
| 14 | 0.909959191351857 | 0.180081617296287 | 0.0900408086481433 |
| 15 | 0.931421470020418 | 0.137157059959163 | 0.0685785299795817 |
| 16 | 0.890213425562454 | 0.219573148875091 | 0.109786574437546 |
| 17 | 0.881235400456271 | 0.237529199087458 | 0.118764599543729 |
| 18 | 0.83097906449497 | 0.338041871010061 | 0.16902093550503 |
| 19 | 0.766544710619546 | 0.466910578760909 | 0.233455289380454 |
| 20 | 0.759932527623397 | 0.480134944753205 | 0.240067472376603 |
| 21 | 0.75686593170654 | 0.486268136586919 | 0.243134068293459 |
| 22 | 0.750016594541377 | 0.499966810917246 | 0.249983405458623 |
| 23 | 0.71444142033502 | 0.571117159329959 | 0.28555857966498 |
| 24 | 0.638089967752309 | 0.723820064495381 | 0.361910032247691 |
| 25 | 0.599576158000434 | 0.800847683999131 | 0.400423841999566 |
| 26 | 0.980437706186719 | 0.0391245876265622 | 0.0195622938132811 |
| 27 | 0.969624675208647 | 0.0607506495827063 | 0.0303753247913531 |
| 28 | 0.95665243584781 | 0.0866951283043796 | 0.0433475641521898 |
| 29 | 0.938177078719816 | 0.123645842560368 | 0.0618229212801838 |
| 30 | 0.939390583647211 | 0.121218832705577 | 0.0606094163527887 |
| 31 | 0.912060194676763 | 0.175879610646474 | 0.0879398053232371 |
| 32 | 0.879187565982503 | 0.241624868034995 | 0.120812434017497 |
| 33 | 0.877457618871471 | 0.245084762257059 | 0.122542381128529 |
| 34 | 0.833509277652101 | 0.332981444695797 | 0.166490722347899 |
| 35 | 0.791114137842882 | 0.417771724314237 | 0.208885862157118 |
| 36 | 0.782221659719452 | 0.435556680561096 | 0.217778340280548 |
| 37 | 0.778497563876775 | 0.44300487224645 | 0.221502436123225 |
| 38 | 0.744337738430207 | 0.511324523139587 | 0.255662261569793 |
| 39 | 0.737957533030783 | 0.524084933938434 | 0.262042466969217 |
| 40 | 0.708029174701222 | 0.583941650597555 | 0.291970825298778 |
| 41 | 0.633931999105446 | 0.732136001789108 | 0.366068000894554 |
| 42 | 0.713567732027746 | 0.572864535944509 | 0.286432267972254 |
| 43 | 0.639692783655785 | 0.72061443268843 | 0.360307216344215 |
| 44 | 0.612208902514197 | 0.775582194971605 | 0.387791097485802 |
| 45 | 0.562037735269096 | 0.875924529461809 | 0.437962264730904 |
| 46 | 0.510607023673213 | 0.978785952653575 | 0.489392976326787 |
| 47 | 0.416214414135433 | 0.832428828270866 | 0.583785585864567 |
| 48 | 0.374267091273544 | 0.748534182547087 | 0.625732908726456 |
| 49 | 0.532053192221464 | 0.935893615557071 | 0.467946807778536 |
| 50 | 0.46925233786993 | 0.938504675739861 | 0.53074766213007 |
| 51 | 0.569839973079854 | 0.860320053840291 | 0.430160026920146 |
| 52 | 0.480420144225095 | 0.960840288450189 | 0.519579855774905 |
| 53 | 0.534957888797496 | 0.930084222405007 | 0.465042111202504 |
| 54 | 0.478588505743649 | 0.957177011487298 | 0.521411494256351 |
| 55 | 0.325051508214841 | 0.650103016429682 | 0.674948491785159 |
| 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 | 1 | 0.0222222222222222 | OK |
| 10% type I error level | 4 | 0.0888888888888889 | OK |
