| Multiple Linear Regression - Estimated Regression Equation |
| Happiness[t] = + 15.4702354176038 -0.188334083070925Leeftijd[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) | 15.4702354176038 | 1.168757 | 13.2365 | 0 | 0 |
| Leeftijd | -0.188334083070925 | 0.19571 | -0.9623 | 0.338238 | 0.169119 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.0962667710994154 |
| R-squared | 0.00926729121790724 |
| Adjusted R-squared | -0.000740109880901896 |
| F-TEST (value) | 0.926043747662931 |
| F-TEST (DF numerator) | 1 |
| F-TEST (DF denominator) | 99 |
| p-value | 0.338237663947319 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.24904341842535 |
| Sum Squared Residuals | 500.761433498276 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 14 | 14.1518968361074 | -0.151896836107357 |
| 2 | 18 | 14.5285650022492 | 3.47143499775079 |
| 3 | 11 | 14.5285650022492 | -3.52856500224921 |
| 4 | 16 | 13.9635627530364 | 2.03643724696356 |
| 5 | 18 | 14.3402309191783 | 3.65976908082171 |
| 6 | 14 | 14.5285650022492 | -0.528565002249213 |
| 7 | 14 | 14.3402309191783 | -0.340230919178288 |
| 8 | 15 | 14.5285650022492 | 0.471434997750787 |
| 9 | 15 | 14.7168990853201 | 0.283100914679862 |
| 10 | 19 | 14.5285650022492 | 4.47143499775079 |
| 11 | 16 | 14.3402309191783 | 1.65976908082171 |
| 12 | 18 | 14.1518968361074 | 3.84810316389264 |
| 13 | 17 | 14.3402309191783 | 2.65976908082171 |
| 14 | 16 | 14.1518968361074 | 1.84810316389264 |
| 15 | 11 | 14.5285650022492 | -3.52856500224921 |
| 16 | 14 | 14.1518968361074 | -0.151896836107362 |
| 17 | 12 | 14.1518968361074 | -2.15189683610736 |
| 18 | 9 | 14.7168990853201 | -5.71689908532014 |
| 19 | 14 | 14.3402309191783 | -0.340230919178288 |
| 20 | 15 | 14.5285650022492 | 0.471434997750787 |
| 21 | 16 | 14.5285650022492 | 1.47143499775079 |
| 22 | 17 | 14.3402309191783 | 2.65976908082171 |
| 23 | 15 | 14.5285650022492 | 0.471434997750787 |
| 24 | 17 | 14.5285650022492 | 2.47143499775079 |
| 25 | 16 | 14.1518968361074 | 1.84810316389264 |
| 26 | 12 | 14.1518968361074 | -2.15189683610736 |
| 27 | 11 | 14.1518968361074 | -3.15189683610736 |
| 28 | 15 | 14.5285650022492 | 0.471434997750787 |
| 29 | 15 | 14.5285650022492 | 0.471434997750787 |
| 30 | 17 | 14.7168990853201 | 2.28310091467986 |
| 31 | 16 | 14.7168990853201 | 1.28310091467986 |
| 32 | 12 | 14.1518968361074 | -2.15189683610736 |
| 33 | 15 | 14.5285650022492 | 0.471434997750787 |
| 34 | 16 | 14.3402309191783 | 1.65976908082171 |
| 35 | 15 | 14.7168990853201 | 0.283100914679862 |
| 36 | 12 | 14.3402309191783 | -2.34023091917829 |
| 37 | 11 | 14.3402309191783 | -3.34023091917829 |
| 38 | 14 | 13.9635627530364 | 0.0364372469635628 |
| 39 | 15 | 14.1518968361074 | 0.848103163892638 |
| 40 | 11 | 14.3402309191783 | -3.34023091917829 |
| 41 | 15 | 14.5285650022492 | 0.471434997750787 |
| 42 | 16 | 14.5285650022492 | 1.47143499775079 |
| 43 | 15 | 14.7168990853201 | 0.283100914679862 |
| 44 | 12 | 14.3402309191783 | -2.34023091917829 |
| 45 | 17 | 14.3402309191783 | 2.65976908082171 |
| 46 | 13 | 14.1518968361074 | -1.15189683610736 |
| 47 | 15 | 14.5285650022492 | 0.471434997750787 |
| 48 | 15 | 13.9635627530364 | 1.03643724696356 |
| 49 | 14 | 13.9635627530364 | 0.0364372469635628 |
| 50 | 14 | 14.5285650022492 | -0.528565002249213 |
| 51 | 13 | 14.3402309191783 | -1.34023091917829 |
| 52 | 7 | 14.7168990853201 | -7.71689908532014 |
| 53 | 17 | 14.5285650022492 | 2.47143499775079 |
| 54 | 13 | 14.5285650022492 | -1.52856500224921 |
| 55 | 15 | 14.5285650022492 | 0.471434997750787 |
| 56 | 14 | 14.5285650022492 | -0.528565002249213 |
| 57 | 13 | 14.3402309191783 | -1.34023091917829 |
| 58 | 16 | 14.3402309191783 | 1.65976908082171 |
| 59 | 12 | 14.5285650022492 | -2.52856500224921 |
| 60 | 14 | 14.3402309191783 | -0.340230919178288 |
| 61 | 17 | 14.5285650022492 | 2.47143499775079 |
| 62 | 16 | 14.3402309191783 | 1.65976908082171 |
| 63 | 15 | 14.7168990853201 | 0.283100914679862 |
| 64 | 16 | 14.5285650022492 | 1.47143499775079 |
| 65 | 10 | 13.7752286699655 | -3.77522866996551 |
| 66 | 15 | 14.3402309191783 | 0.659769080821712 |
| 67 | 11 | 14.3402309191783 | -3.34023091917829 |
| 68 | 13 | 14.5285650022492 | -1.52856500224921 |
| 69 | 18 | 14.5285650022492 | 3.47143499775079 |
| 70 | 14 | 14.1518968361074 | -0.151896836107362 |
| 71 | 14 | 14.5285650022492 | -0.528565002249213 |
| 72 | 14 | 14.1518968361074 | -0.151896836107362 |
| 73 | 14 | 14.3402309191783 | -0.340230919178288 |
| 74 | 12 | 14.3402309191783 | -2.34023091917829 |
| 75 | 14 | 13.7752286699655 | 0.224771330034488 |
| 76 | 15 | 14.1518968361074 | 0.848103163892638 |
| 77 | 15 | 14.3402309191783 | 0.659769080821712 |
| 78 | 15 | 14.5285650022492 | 0.471434997750787 |
| 79 | 13 | 14.5285650022492 | -1.52856500224921 |
| 80 | 17 | 14.3402309191783 | 2.65976908082171 |
| 81 | 19 | 14.1518968361074 | 4.84810316389264 |
| 82 | 15 | 14.5285650022492 | 0.471434997750787 |
| 83 | 15 | 14.3402309191783 | 0.659769080821712 |
| 84 | 16 | 14.1518968361074 | 1.84810316389264 |
| 85 | 11 | 14.1518968361074 | -3.15189683610736 |
| 86 | 15 | 14.3402309191783 | 0.659769080821712 |
| 87 | 15 | 13.9635627530364 | 1.03643724696356 |
| 88 | 14 | 14.5285650022492 | -0.528565002249213 |
| 89 | 16 | 14.3402309191783 | 1.65976908082171 |
| 90 | 16 | 14.7168990853201 | 1.28310091467986 |
| 91 | 16 | 14.3402309191783 | 1.65976908082171 |
| 92 | 13 | 14.1518968361074 | -1.15189683610736 |
| 93 | 12 | 14.3402309191783 | -2.34023091917829 |
| 94 | 9 | 13.9635627530364 | -4.96356275303644 |
| 95 | 13 | 14.7168990853201 | -1.71689908532014 |
| 96 | 13 | 14.5285650022492 | -1.52856500224921 |
| 97 | 14 | 14.3402309191783 | -0.340230919178288 |
| 98 | 19 | 14.1518968361074 | 4.84810316389264 |
| 99 | 13 | 14.1518968361074 | -1.15189683610736 |
| 100 | 12 | 14.3402309191783 | -2.34023091917829 |
| 101 | 13 | 14.3402309191783 | -1.34023091917829 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 5 | 0.925571680915896 | 0.148856638168209 | 0.0744283190841045 |
| 6 | 0.867103699017093 | 0.265792601965814 | 0.132896300982907 |
| 7 | 0.796674027743097 | 0.406651944513805 | 0.203325972256903 |
| 8 | 0.69955600710369 | 0.60088798579262 | 0.30044399289631 |
| 9 | 0.595370354947105 | 0.809259290105791 | 0.404629645052895 |
| 10 | 0.762473504067415 | 0.47505299186517 | 0.237526495932585 |
| 11 | 0.686847665132763 | 0.626304669734475 | 0.313152334867237 |
| 12 | 0.69690210519144 | 0.60619578961712 | 0.30309789480856 |
| 13 | 0.649025768568523 | 0.701948462862954 | 0.350974231431477 |
| 14 | 0.572620292660196 | 0.854759414679607 | 0.427379707339804 |
| 15 | 0.75350938561283 | 0.49298122877434 | 0.24649061438717 |
| 16 | 0.725276873759659 | 0.549446252480682 | 0.274723126240341 |
| 17 | 0.788735590305249 | 0.422528819389501 | 0.211264409694751 |
| 18 | 0.941258428991623 | 0.117483142016753 | 0.0587415710083766 |
| 19 | 0.919469606547545 | 0.16106078690491 | 0.0805303934524551 |
| 20 | 0.891388742995141 | 0.217222514009718 | 0.108611257004859 |
| 21 | 0.871900337240945 | 0.25619932551811 | 0.128099662759055 |
| 22 | 0.86804870406291 | 0.26390259187418 | 0.13195129593709 |
| 23 | 0.829355438176375 | 0.34128912364725 | 0.170644561823625 |
| 24 | 0.833427633434705 | 0.333144733130589 | 0.166572366565295 |
| 25 | 0.801356917428401 | 0.397286165143198 | 0.198643082571599 |
| 26 | 0.837812277386164 | 0.324375445227672 | 0.162187722613836 |
| 27 | 0.895688436114745 | 0.20862312777051 | 0.104311563885255 |
| 28 | 0.864714682580982 | 0.270570634838036 | 0.135285317419018 |
| 29 | 0.828262061204452 | 0.343475877591096 | 0.171737938795548 |
| 30 | 0.828312094346015 | 0.34337581130797 | 0.171687905653985 |
| 31 | 0.798195247779194 | 0.403609504441612 | 0.201804752220806 |
| 32 | 0.80649876809974 | 0.38700246380052 | 0.19350123190026 |
| 33 | 0.763017287456928 | 0.473965425086145 | 0.236982712543072 |
| 34 | 0.734401199277256 | 0.531197601445488 | 0.265598800722744 |
| 35 | 0.683415789265772 | 0.633168421468456 | 0.316584210734228 |
| 36 | 0.697177284859401 | 0.605645430281198 | 0.302822715140599 |
| 37 | 0.762414206853506 | 0.475171586292988 | 0.237585793146494 |
| 38 | 0.714564451276016 | 0.570871097447967 | 0.285435548723984 |
| 39 | 0.66807464646379 | 0.66385070707242 | 0.33192535353621 |
| 40 | 0.731670533274227 | 0.536658933451546 | 0.268329466725773 |
| 41 | 0.683098127252905 | 0.633803745494189 | 0.316901872747095 |
| 42 | 0.650698194064934 | 0.698603611870132 | 0.349301805935066 |
| 43 | 0.596515904753913 | 0.806968190492174 | 0.403484095246087 |
| 44 | 0.602145034989395 | 0.79570993002121 | 0.397854965010605 |
| 45 | 0.620381776919316 | 0.759236446161368 | 0.379618223080684 |
| 46 | 0.579946916225457 | 0.840106167549085 | 0.420053083774543 |
| 47 | 0.525538403237002 | 0.948923193525996 | 0.474461596762998 |
| 48 | 0.478859964789459 | 0.957719929578917 | 0.521140035210541 |
| 49 | 0.421855931053882 | 0.843711862107764 | 0.578144068946118 |
| 50 | 0.369845698962492 | 0.739691397924983 | 0.630154301037508 |
| 51 | 0.335470177977817 | 0.670940355955634 | 0.664529822022183 |
| 52 | 0.865819125997397 | 0.268361748005207 | 0.134180874002603 |
| 53 | 0.871112694575769 | 0.257774610848463 | 0.128887305424231 |
| 54 | 0.854737368521585 | 0.29052526295683 | 0.145262631478415 |
| 55 | 0.820220403488635 | 0.35955919302273 | 0.179779596511365 |
| 56 | 0.782259031772735 | 0.43548193645453 | 0.217740968227265 |
| 57 | 0.753578773562884 | 0.492842452874232 | 0.246421226437116 |
| 58 | 0.731707403520409 | 0.536585192959183 | 0.268292596479591 |
| 59 | 0.748540826552233 | 0.502918346895534 | 0.251459173447767 |
| 60 | 0.700385645025288 | 0.599228709949425 | 0.299614354974712 |
| 61 | 0.70645101173062 | 0.587097976538759 | 0.29354898826938 |
| 62 | 0.682846881494232 | 0.634306237011537 | 0.317153118505768 |
| 63 | 0.628495978905371 | 0.743008042189259 | 0.371504021094629 |
| 64 | 0.593777944574381 | 0.812444110851238 | 0.406222055425619 |
| 65 | 0.686805995360757 | 0.626388009278487 | 0.313194004639243 |
| 66 | 0.636166088986282 | 0.727667822027436 | 0.363833911013718 |
| 67 | 0.700843423923746 | 0.598313152152508 | 0.299156576076254 |
| 68 | 0.67110923398389 | 0.65778153203222 | 0.32889076601611 |
| 69 | 0.74894312097909 | 0.50211375804182 | 0.25105687902091 |
| 70 | 0.69572646780218 | 0.608547064395641 | 0.30427353219782 |
| 71 | 0.639455458325087 | 0.721089083349826 | 0.360544541674913 |
| 72 | 0.577560441372688 | 0.844879117254625 | 0.422439558627312 |
| 73 | 0.513964345021184 | 0.972071309957633 | 0.486035654978816 |
| 74 | 0.517301574135565 | 0.96539685172887 | 0.482698425864435 |
| 75 | 0.451131580553725 | 0.90226316110745 | 0.548868419446275 |
| 76 | 0.392528440579215 | 0.785056881158431 | 0.607471559420785 |
| 77 | 0.333560299334107 | 0.667120598668213 | 0.666439700665893 |
| 78 | 0.276311828450233 | 0.552623656900467 | 0.723688171549767 |
| 79 | 0.242460182607526 | 0.484920365215052 | 0.757539817392474 |
| 80 | 0.258191983912209 | 0.516383967824419 | 0.741808016087791 |
| 81 | 0.511995761969016 | 0.976008476061969 | 0.488004238030985 |
| 82 | 0.442127706892157 | 0.884255413784313 | 0.557872293107843 |
| 83 | 0.380138000418607 | 0.760276000837213 | 0.619861999581393 |
| 84 | 0.38218510885879 | 0.76437021771758 | 0.61781489114121 |
| 85 | 0.408403682433163 | 0.816807364866327 | 0.591596317566837 |
| 86 | 0.344124675555754 | 0.688249351111507 | 0.655875324444246 |
| 87 | 0.312428247257163 | 0.624856494514326 | 0.687571752742837 |
| 88 | 0.239888741302496 | 0.479777482604993 | 0.760111258697504 |
| 89 | 0.229871117783916 | 0.459742235567832 | 0.770128882216084 |
| 90 | 0.193848750663557 | 0.387697501327114 | 0.806151249336443 |
| 91 | 0.203566856214175 | 0.407133712428351 | 0.796433143785825 |
| 92 | 0.139228835661685 | 0.278457671323371 | 0.860771164338315 |
| 93 | 0.100482426776265 | 0.200964853552531 | 0.899517573223735 |
| 94 | 0.40237243286754 | 0.804744865735081 | 0.59762756713246 |
| 95 | 0.335226732494636 | 0.670453464989271 | 0.664773267505364 |
| 96 | 0.266830007939269 | 0.533660015878538 | 0.733169992060731 |
| 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 |
