Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 17.3893058309824 -0.369421768925105Depression[t] + 0.0673020022887946Belonging[t] -0.0489287737012476BelongingFinal[t] -0.0937609856736327Popularity[t] -0.0384462079358146KnowingPeople[t] + 0.0656628197343761Liked[t] + 0.130635340805913Celebrity[t] -0.0539467717320201ConcernOverMistakes[t] + 0.097263567422785ParentalExpectations[t] -0.0906357963563662ParentalCriticism[t] + 0.043090642762466PersonalStandards[t] -0.0673752186150563Organization[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)	17.3893058309824	2.51385	6.9174	0	0
Depression	-0.369421768925105	0.060753	-6.0807	0	0
Belonging	0.0673020022887946	0.053492	1.2582	0.210692	0.105346
BelongingFinal	-0.0489287737012476	0.075322	-0.6496	0.517154	0.258577
Popularity	-0.0937609856736327	0.090697	-1.0338	0.30325	0.151625
KnowingPeople	-0.0384462079358146	0.069841	-0.5505	0.58298	0.29149
Liked	0.0656628197343761	0.10627	0.6179	0.537784	0.268892
Celebrity	0.130635340805913	0.181069	0.7215	0.471981	0.235991
ConcernOverMistakes	-0.0539467717320201	0.03594	-1.501	0.135888	0.067944
ParentalExpectations	0.097263567422785	0.064234	1.5142	0.13252	0.06626
ParentalCriticism	-0.0906357963563662	0.083458	-1.086	0.279585	0.139792
PersonalStandards	0.043090642762466	0.051396	0.8384	0.403413	0.201707
Organization	-0.0673752186150563	0.051073	-1.3192	0.189532	0.094766

Multiple Linear Regression - Regression Statistics
Multiple R	0.598500396625606
R-squared	0.358202724761007
Adjusted R-squared	0.296093311028202
F-TEST (value)	5.76728555677554
F-TEST (DF numerator)	12
F-TEST (DF denominator)	124
p-value	7.55891645942697e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.98907390262861
Sum Squared Residuals	490.595458774659

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	15.5922580224144	-0.592258022414358
2	9	10.3763471898270	-1.37634718982703
3	12	13.2610841337057	-1.26108413370568
4	15	15.6703962274125	-0.670396227412501
5	17	16.6597114733318	0.340288526668162
6	14	13.0004670761162	0.999532923883771
7	9	10.9857534804041	-1.9857534804041
8	11	10.0442590439050	0.955740956094975
9	13	14.4694499681551	-1.46944996815505
10	16	14.8234126846683	1.17658731533166
11	16	14.0250290987119	1.97497090128810
12	15	14.2383308433863	0.761669156613684
13	10	14.8514507853627	-4.85145078536272
14	16	15.3497605056874	0.650239494312601
15	12	15.1976467889243	-3.19764678892434
16	15	14.1374767220122	0.8625232779878
17	13	12.1215206615536	0.87847933844641
18	18	15.1743187223615	2.82568127763846
19	13	14.3098080866189	-1.30980808661894
20	17	14.0236885336907	2.97631146630934
21	14	13.8785020845659	0.121497915434081
22	13	15.1811052970486	-2.18110529704858
23	13	16.0910179849196	-3.09101798491963
24	15	15.6619426301443	-0.661942630144332
25	15	13.2794696348127	1.7205303651873
26	13	13.5744007187145	-0.574400718714475
27	13	15.3422262831563	-2.34222628315628
28	16	13.3151082880934	2.68489171190657
29	14	15.9534990870273	-1.9534990870273
30	18	15.9888271007488	2.01117289925119
31	9	10.7837882163600	-1.78378821635997
32	16	16.1255323657905	-0.125532365790519
33	16	15.1857238657002	0.81427613429977
34	17	14.7783285904549	2.2216714095451
35	13	15.1252718748917	-2.12527187489165
36	17	13.9456636102596	3.05433638974035
37	15	13.0959449568281	1.90405504317186
38	14	14.1172809572284	-0.117280957228351
39	10	12.1478420918796	-2.14784209187965
40	13	14.2143000310942	-1.21430003109421
41	11	13.2626123550771	-2.26261235507708
42	11	13.0253576083747	-2.02535760837472
43	15	15.4519651950179	-0.451965195017864
44	15	15.2603954602792	-0.260395460279236
45	12	12.5222703421012	-0.522270342101192
46	17	14.7291894034684	2.27081059653161
47	15	13.7087236167634	1.29127638323656
48	16	15.5727077627709	0.427292237229146
49	14	13.9357182709740	0.0642817290259524
50	17	14.7350332397809	2.26496676021906
51	10	10.3428067365893	-0.342806736589346
52	11	14.0354719963516	-3.03547199635159
53	15	14.0589772901077	0.941022709892318
54	15	14.7352116988952	0.264788301104821
55	7	10.6167900207868	-3.61679002078684
56	17	14.9855898742421	2.01441012575788
57	14	13.1297042512869	0.870295748713117
58	18	15.7815428711431	2.21845712885694
59	14	13.9352181407191	0.0647818592809266
60	14	15.2895859629806	-1.2895859629806
61	9	15.6732330420276	-6.67323304202762
62	14	14.3648153945076	-0.364815394507583
63	11	12.5319859520448	-1.53198595204482
64	16	13.6474258360948	2.35257416390516
65	17	15.0444232461064	1.95557675389359
66	12	15.1335968952848	-3.13359689528478
67	15	14.1446184413009	0.855381558699093
68	15	15.5932417098202	-0.593241709820164
69	16	16.3140717474382	-0.31407174743823
70	16	16.6334281632169	-0.633428163216929
71	11	12.5046700257125	-1.50467002571253
72	12	12.7739898806394	-0.773989880639433
73	14	14.1219496567694	-0.121949656769382
74	15	15.7079336124191	-0.707933612419097
75	17	15.6740037368294	1.32599626317064
76	19	14.6619159333655	4.33808406663445
77	15	13.7595515686571	1.24044843134293
78	16	12.926964014305	3.07303598569499
79	14	14.5226103599700	-0.522610359970031
80	16	11.5087436118892	4.49125638811078
81	15	14.5013675128032	0.498632487196845
82	17	14.4613221404805	2.53867785951953
83	12	14.4616919466267	-2.46169194662671
84	18	14.8058708070347	3.19412919296535
85	13	14.3291907616437	-1.32919076164374
86	14	13.2804662388945	0.719533761105549
87	14	13.7151715010423	0.284828498957662
88	14	14.2258232926222	-0.225823292622172
89	12	14.4414756042756	-2.44147560427561
90	14	13.0583267045283	0.941673295471697
91	12	13.3139957417549	-1.31399574175488
92	15	14.6345865790794	0.365413420920584
93	11	12.543957626866	-1.54395762686600
94	15	15.2746915466298	-0.274691546629762
95	14	14.4082683371557	-0.408268337155737
96	15	13.6449961263209	1.35500387367912
97	16	14.3291513240461	1.67084867595388
98	14	11.3539775482019	2.64602245179807
99	18	15.9306889171102	2.06931108288978
100	14	15.0945360835772	-1.09453608357724
101	13	12.6409821360560	0.359017863944032
102	14	12.5977719529605	1.40222804703946
103	14	14.7185273175246	-0.718527317524611
104	17	15.5900538293438	1.40994617065617
105	12	12.8424499485455	-0.842449948545538
106	16	13.7961072149273	2.20389278507266
107	10	12.3287532128499	-2.32875321284993
108	13	14.5643015234240	-1.56430152342403
109	15	15.3301671929391	-0.330167192939076
110	16	14.9937588594251	1.00624114057488
111	14	12.8242893787846	1.17571062121543
112	13	12.4388900869289	0.561109913071106
113	17	14.7659087707156	2.23409122928439
114	14	13.9804249905477	0.0195750094522665
115	16	12.9947584531866	3.00524154681336
116	12	14.0065703068552	-2.00657030685520
117	16	14.3235182657491	1.67648173425089
118	8	10.5607830856912	-2.56078308569116
119	9	12.1883336587029	-3.18833365870288
120	13	11.8831289165083	1.11687108349165
121	19	15.2176278196193	3.78237218038072
122	11	12.4318895916441	-1.43188959164413
123	15	14.8735806538499	0.126419346150068
124	11	13.4466997710899	-2.44669977108987
125	15	15.8492974720167	-0.849297472016677
126	16	16.0832409374489	-0.0832409374488868
127	15	12.8115158499849	2.18848415001507
128	12	12.9738247901357	-0.973824790135663
129	16	15.1167461618508	0.88325383814922
130	15	13.0787541659559	1.92124583404405
131	13	14.6048003186335	-1.60480031863350
132	14	13.9855981904439	0.0144018095560894
133	11	13.3938277336665	-2.39382773366646
134	15	14.6630824662544	0.336917533745566
135	14	12.7238953692018	1.27610463079824
136	13	16.0418341374656	-3.04183413746564
137	15	16.0687584843007	-1.06875848430071

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.135225341751821	0.270450683503642	0.864774658248179
17	0.188489119323522	0.376978238647045	0.811510880676478
18	0.124162170137085	0.248324340274169	0.875837829862915
19	0.130489120306253	0.260978240612506	0.869510879693747
20	0.57566792116835	0.8486641576633	0.42433207883165
21	0.648215523008188	0.703568953983624	0.351784476991812
22	0.676624134040649	0.646751731918702	0.323375865959351
23	0.678371908962623	0.643256182074755	0.321628091037377
24	0.596519325383009	0.806961349233982	0.403480674616991
25	0.519980029586543	0.960039940826914	0.480019970413457
26	0.53115270111009	0.93769459777982	0.46884729888991
27	0.514694917284793	0.970610165430414	0.485305082715207
28	0.669988268863748	0.660023462272503	0.330011731136252
29	0.65055940951569	0.69888118096862	0.34944059048431
30	0.662576190535191	0.674847618929618	0.337423809464809
31	0.643259962431207	0.713480075137586	0.356740037568793
32	0.577854281905808	0.844291436188384	0.422145718094192
33	0.515158417682542	0.969683164634916	0.484841582317458
34	0.542480555175864	0.915038889648273	0.457519444824136
35	0.51750781088488	0.96498437823024	0.48249218911512
36	0.615938502000904	0.768122995998191	0.384061497999096
37	0.688405092364436	0.623189815271127	0.311594907635564
38	0.633981838947292	0.732036322105415	0.366018161052708
39	0.613716987111302	0.772566025777396	0.386283012888698
40	0.588939700281741	0.822120599436519	0.411060299718259
41	0.588344533003722	0.823310933992555	0.411655466996277
42	0.61417724962695	0.7716455007461	0.38582275037305
43	0.555433296582456	0.889133406835088	0.444566703417544
44	0.49602944243664	0.99205888487328	0.50397055756336
45	0.44597681344324	0.89195362688648	0.55402318655676
46	0.507905628490039	0.984188743019923	0.492094371509961
47	0.51630297276382	0.96739405447236	0.48369702723618
48	0.472474317887539	0.944948635775078	0.527525682112461
49	0.416702437310555	0.83340487462111	0.583297562689445
50	0.416421932135589	0.832843864271179	0.58357806786441
51	0.370810533470863	0.741621066941725	0.629189466529137
52	0.450885009420593	0.901770018841186	0.549114990579407
53	0.41689085790562	0.83378171581124	0.58310914209438
54	0.363559236378611	0.727118472757223	0.636440763621389
55	0.494488131380527	0.988976262761054	0.505511868619473
56	0.483355072257885	0.96671014451577	0.516644927742115
57	0.465959333757322	0.931918667514644	0.534040666242678
58	0.475615808385850	0.951231616771701	0.52438419161415
59	0.421813924301254	0.843627848602509	0.578186075698746
60	0.380029288107141	0.760058576214282	0.619970711892859
61	0.856998076163661	0.286003847672678	0.143001923836339
62	0.828279868338503	0.343440263322994	0.171720131661497
63	0.805231179665707	0.389537640668586	0.194768820334293
64	0.812186392203146	0.375627215593708	0.187813607796854
65	0.825757908954612	0.348484182090777	0.174242091045388
66	0.903826171087978	0.192347657824044	0.0961738289120219
67	0.883221817497143	0.233556365005715	0.116778182502857
68	0.861807682647077	0.276384634705845	0.138192317352923
69	0.834233238744365	0.331533522511270	0.165766761255635
70	0.810822174363054	0.378355651273892	0.189177825636946
71	0.815118751910661	0.369762496178677	0.184881248089339
72	0.782704458795738	0.434591082408525	0.217295541204262
73	0.74730294401625	0.505394111967501	0.252697055983750
74	0.730550627671696	0.538898744656608	0.269449372328304
75	0.741746220286154	0.516507559427693	0.258253779713846
76	0.877734118893478	0.244531762213045	0.122265881106522
77	0.858025777134151	0.283948445731697	0.141974222865849
78	0.892374044091445	0.215251911817109	0.107625955908554
79	0.866678988021975	0.266642023956051	0.133321011978025
80	0.961737044918586	0.076525910162827	0.0382629550814135
81	0.949988993807943	0.100022012384113	0.0500110061920566
82	0.94912215209866	0.101755695802679	0.0508778479013397
83	0.950483972388882	0.0990320552222351	0.0495160276111176
84	0.96436040658688	0.071279186826242	0.035639593413121
85	0.957064770816636	0.0858704583667271	0.0429352291833635
86	0.945457140118224	0.109085719763553	0.0545428598817765
87	0.927810822048675	0.144378355902650	0.0721891779513251
88	0.910149425047385	0.179701149905229	0.0898505749526147
89	0.911000715764373	0.177998568471254	0.088999284235627
90	0.887263692858206	0.225472614283587	0.112736307141793
91	0.89288479697606	0.214230406047880	0.107115203023940
92	0.870303199813004	0.259393600373992	0.129696800186996
93	0.848017117781784	0.303965764436431	0.151982882218216
94	0.809652075567523	0.380695848864954	0.190347924432477
95	0.775912989234809	0.448174021530382	0.224087010765191
96	0.759459589996565	0.481080820006869	0.240540410003435
97	0.807305306888774	0.385389386222452	0.192694693111226
98	0.8117618604802	0.3764762790396	0.1882381395198
99	0.787553202092248	0.424893595815503	0.212446797907752
100	0.751437257691304	0.497125484617392	0.248562742308696
101	0.700832119942947	0.598335760114107	0.299167880057053
102	0.668207538206628	0.663584923586744	0.331792461793372
103	0.609291556099695	0.78141688780061	0.390708443900305
104	0.560524567934433	0.878950864131134	0.439475432065567
105	0.498815315954068	0.997630631908136	0.501184684045932
106	0.798569315185051	0.402861369629898	0.201430684814949
107	0.814965084691482	0.370069830617037	0.185034915308518
108	0.847499530615663	0.305000938768674	0.152500469384337
109	0.793456628966256	0.413086742067489	0.206543371033744
110	0.74742133634924	0.505157327301521	0.252578663650760
111	0.755105640543061	0.489788718913877	0.244894359456939
112	0.690949686470773	0.618100627058453	0.309050313529227
113	0.617927940584889	0.764144118830222	0.382072059415111
114	0.5307416187765	0.938516762447	0.4692583812235
115	0.547955092365335	0.90408981526933	0.452044907634665
116	0.578792516520892	0.842414966958216	0.421207483479108
117	0.585975048492105	0.82804990301579	0.414024951507895
118	0.604258113474572	0.791483773050856	0.395741886525428
119	0.675933483582528	0.648133032834944	0.324066516417472
120	0.67925066681918	0.641498666361641	0.320749333180821
121	0.540203070775981	0.919593858448039	0.459796929224019

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	4	0.0377358490566038	OK