Multiple Linear Regression - Estimated Regression Equation
Perceived_happiness[t] = + 18.0703506993062 -0.345268804897921Doubts_about_actions[t] -0.169898748342036`Doubts_about_actions*G`[t] -0.0551277931462227Parental_expectations[t] + 0.246451657746884`Parental_expectations*G`[t] -0.0770701169689628Personal_standards[t] + 0.172410480676388`Personal_standards*G`[t] + 0.0569201045809098Organization[t] -0.200013667756433`Organization*G`[t] + 0.00150951858246073t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)18.07035069930622.5652537.044300
Doubts_about_actions-0.3452688048979210.147741-2.3370.0223070.011153
`Doubts_about_actions*G`-0.1698987483420360.182982-0.92850.356340.17817
Parental_expectations-0.05512779314622270.138559-0.39790.6919410.345971
`Parental_expectations*G`0.2464516577468840.172581.4280.1577250.078862
Personal_standards-0.07707011696896280.10012-0.76980.4440210.22201
`Personal_standards*G`0.1724104806763880.1320781.30540.196040.09802
Organization0.05692010458090980.1233540.46140.6459160.322958
`Organization*G`-0.2000136677564330.14675-1.3630.1772660.088633
t0.001509518582460730.0111750.13510.8929350.446468


Multiple Linear Regression - Regression Statistics
Multiple R0.518248205118805
R-squared0.268581202108863
Adjusted R-squared0.174541642380002
F-TEST (value)2.85604486966176
F-TEST (DF numerator)9
F-TEST (DF denominator)70
p-value0.00631789732661947
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.25228355117066
Sum Squared Residuals355.094683641174


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11012.2619311365579-2.26193113655788
21412.83815084268481.16184915731519
31817.51925146565970.48074853434025
41513.22671536634941.77328463365062
51815.63115454273522.36884545726481
61113.1713933230825-2.17139332308251
71713.83997432088873.16002567911133
81913.70800981151845.29199018848158
9710.6098696830817-3.60986968308168
101213.3306215977677-1.33062159776772
111312.72842212352470.271577876475294
121514.20341889030850.796581109691524
131414.3552435913157-0.355243591315667
141413.20175433827370.798245661726278
151613.16826051005142.83173948994861
161615.3993806499440.600619350055991
171214.4170360555073-2.41703605550725
181214.3330254874041-2.3330254874041
191314.0702485663284-1.07024856632844
201613.47165812556762.52834187443244
21911.6669633401306-2.66696334013058
221113.751558118521-2.75155811852096
231415.6121700188513-1.61217001885127
241114.1842488778346-3.1842488778346
251714.7651269730432.23487302695698
261415.757696690988-1.75769669098798
271516.1056496860839-1.1056496860839
281111.3370555299361-0.337055529936082
291512.91429877165352.08570122834653
301411.87185217296622.12814782703375
311114.9004364932413-3.90043649324129
321212.3880251306762-0.38802513067621
33913.7292200066648-4.72922000666483
341615.63870532520940.361294674790579
351313.4245572334188-0.424557233418767
361513.25666226003481.74333773996524
371011.6961282469054-1.69612824690536
381313.5464166242912-0.546416624291184
391613.17362027206442.82637972793562
401515.3282777555719-0.328277755571851
411311.86940454116361.13059545883639
421613.20901751177782.79098248822217
431515.2307041669913-0.230704166991284
441611.94173453923934.05826546076072
451513.94264608094861.0573539190514
461313.486838896906-0.486838896906002
471113.2332835849634-2.2332835849634
481713.92854400062733.07145599937273
491013.1686396290431-3.16863962904307
501714.44781040126212.55218959873794
511413.06623414398890.933765856011064
521513.39273510385941.60726489614055
531615.23746235156380.762537648436204
541213.3116306536396-1.31163065363964
551113.0813973300353-2.0813973300353
561616.043988724088-0.0439887240879911
57912.95411824604-3.95411824604005
581513.30258140343481.69741859656521
591513.93032093666421.06967906333577
601313.8657852389493-0.865785238949253
611515.1162305074995-0.116230507499534
621514.27889481943150.721105180568487
631815.76805716108592.2319428389141
641612.83607158887153.16392841112854
651212.5350689078074-0.535068907807392
661515.3917013639606-0.391701363960622
671316.0847926361749-3.08479263617491
681315.1067698984458-2.10676989844584
691312.18436725235640.815632747643603
701413.17923203317510.82076796682491
711514.13785898044720.862141019552834
721113.3099557886439-2.30995578864391
731413.13610616747560.863893832524391
741714.6371957798462.36280422015396
751314.7164163389786-1.7164163389786
761214.2106230607561-2.21062306075612
771313.7363763671747-0.736376367174665
781614.49275263652241.50724736347762
791314.9421683791614-1.94216837916136
801916.02029289036222.97970710963783


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.4377722295350270.8755444590700530.562227770464973
140.5823814824666910.8352370350666170.417618517533309
150.4585966364781080.9171932729562160.541403363521892
160.3858733749596790.7717467499193590.61412662504032
170.829278036142410.3414439277151810.170721963857591
180.88577158158690.22845683682620.1142284184131
190.829822535217350.3403549295652990.170177464782649
200.8019357517809170.3961284964381660.198064248219083
210.8312277969501720.3375444060996570.168772203049828
220.814058671133970.3718826577320590.185941328866029
230.7532549340362260.4934901319275480.246745065963774
240.7390198505248530.5219602989502940.260980149475147
250.7970648353047570.4058703293904870.202935164695243
260.7707705569336910.4584588861326180.229229443066309
270.7159124607977740.5681750784044520.284087539202226
280.6474913740134580.7050172519730840.352508625986542
290.6219651919748210.7560696160503580.378034808025179
300.7604819762858080.4790360474283840.239518023714192
310.8273652647774570.3452694704450850.172634735222543
320.7755580631159860.4488838737680270.224441936884014
330.9064794176054510.1870411647890970.0935205823945485
340.8862982821455430.2274034357089140.113701717854457
350.8467090908978760.3065818182042480.153290909102124
360.8503731529944120.2992536940111760.149626847005588
370.8277065482488240.3445869035023530.172293451751176
380.806117541673830.3877649166523390.193882458326169
390.863819818800090.272360362399820.13618018119991
400.8273933505028870.3452132989942270.172606649497113
410.795117169387820.4097656612243590.204882830612179
420.8567789667806010.2864420664387970.143221033219399
430.8459253570135420.3081492859729160.154074642986458
440.9354240412771880.1291519174456240.0645759587228121
450.911348903756910.1773021924861790.0886510962430897
460.8767523600417170.2464952799165670.123247639958283
470.8716222430641060.2567555138717890.128377756935894
480.8898659015643340.2202681968713310.110134098435666
490.8930547915480150.213890416903970.106945208451985
500.8904770768424120.2190458463151760.109522923157588
510.8922751003496630.2154497993006730.107724899650337
520.8902929466011570.2194141067976850.109707053398843
530.854280284402450.29143943119510.14571971559755
540.8082226890745570.3835546218508850.191777310925443
550.7838496666910440.4323006666179130.216150333308956
560.7129593058166120.5740813883667760.287040694183388
570.7759589778687560.4480820442624880.224041022131244
580.7186347788718350.562730442256330.281365221128165
590.6404673230770220.7190653538459550.359532676922977
600.5451656233117380.9096687533765240.454834376688262
610.4425117442110540.885023488422110.557488255788946
620.3587374021948810.7174748043897630.641262597805119
630.434052969146230.868105938292460.56594703085377
640.346247076895130.692494153790260.65375292310487
650.289674198376790.579348396753580.71032580162321
660.2167545335510720.4335090671021440.783245466448928
670.287737223626680.575474447253360.71226277637332


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK