Multiple Linear Regression - Estimated Regression Equation

belonging_final[t] = -4.62372287334383 + 0.126387024273453Age[t] -0.0191230046787836connected[t] + 0.0539328749695019separated[t] -0.0888898072249384learning[t] -0.0021394794507081software[t] -0.0580270838085641hapiness[t] + 0.0997065018245458depression[t] + 0.659910304893659belonging[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)	-4.62372287334383	3.354589	-1.3783	0.170114	0.085057
Age	0.126387024273453	0.161702	0.7816	0.435655	0.217828
connected	-0.0191230046787836	0.060509	-0.316	0.752406	0.376203
separated	0.0539328749695019	0.05635	0.9571	0.340026	0.170013
learning	-0.0888898072249384	0.101541	-0.8754	0.382726	0.191363
software	-0.0021394794507081	0.103282	-0.0207	0.9835	0.49175
hapiness	-0.0580270838085641	0.096267	-0.6028	0.547551	0.273776
depression	0.0997065018245458	0.07088	1.4067	0.161548	0.080774
belonging	0.659910304893659	0.018189	36.2805	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.950330071335872
R-squared	0.903127244485243
Adjusted R-squared	0.898062002366825
F-TEST (value)	178.298928930015
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.3291703569781
Sum Squared Residuals	830.030286429299

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	32	31.7044961141872	0.29550388581284
2	51	52.3470661073886	-1.34706610738862
3	42	39.9128474291889	2.08715257081105
4	41	40.5631434359633	0.436856564036711
5	46	47.7790233709249	-1.77902337092487
6	47	47.4773794892695	-0.477379489269502
7	37	31.5761641251071	5.42383587489288
8	49	49.1399175296791	-0.139917529679119
9	45	44.8973249722099	0.102675027790124
10	47	46.4565007529064	0.543499247093577
11	49	47.7797311885505	1.22026881144953
12	33	31.035885046034	1.96411495396601
13	42	40.8505951423124	1.14940485768762
14	33	32.0950942979728	0.90490570202723
15	53	53.4469986368971	-0.446998636897082
16	36	34.8017366708427	1.19826332915726
17	45	46.0204529435252	-1.02045294352517
18	54	53.8363223714033	0.16367762859671
19	41	38.4864199413253	2.51358005867466
20	36	33.9096300385864	2.09036996141358
21	41	38.9378279099382	2.06217209006175
22	44	41.2709013944464	2.72909860555359
23	33	31.867174105638	1.13282589436197
24	37	33.8655891515949	3.13441084840513
25	52	52.3204823428737	-0.320482342873662
26	47	48.4526332288973	-1.45263322889728
27	43	46.717259465832	-3.717259465832
28	44	42.3527860627953	1.64721393720466
29	45	47.7075158487302	-2.70751584873018
30	44	40.7438398969822	3.25616010301785
31	49	48.3282483073212	0.671751692678802
32	33	32.5103515005298	0.48964849947017
33	43	42.6973513685299	0.302648631470137
34	54	51.5644666678177	2.43553333218228
35	42	45.0230531960022	-3.02305319600215
36	44	43.2617062866755	0.738293713324503
37	37	39.270064777954	-2.27006477795397
38	43	43.009141311239	-0.00914131123900135
39	46	45.8457202917051	0.154279708294904
40	42	41.45158421455	0.548415785449956
41	45	44.4431961852496	0.556803814750406
42	44	46.0811885085586	-2.08118850855864
43	33	30.7018768709112	2.29812312908876
44	31	30.9941287611879	0.00587123881207831
45	42	41.7128380742961	0.287161925703924
46	40	41.9694114490988	-1.96941144909877
47	43	39.0337717374121	3.96622826258785
48	46	45.5736275902207	0.426372409779287
49	42	45.1395747793514	-3.13957477935137
50	45	45.5729513122792	-0.572951312279149
51	44	43.4493223246129	0.550677675387098
52	40	40.5459125318301	-0.545912531830068
53	37	38.8144778514363	-1.81447785143627
54	46	37.8242081611223	8.17579183887774
55	36	38.2862181577162	-2.28621815771616
56	47	46.2484738327633	0.751526167236743
57	45	44.9757229146927	0.0242770853073146
58	42	39.9540078551884	2.04599214481161
59	43	44.4859424855319	-1.48594248553187
60	43	42.8483740116179	0.151625988382049
61	32	32.3681480893381	-0.368148089338074
62	45	47.175338607927	-2.17533860792704
63	45	47.2911516860539	-2.29115168605394
64	31	31.3130669313211	-0.313066931321131
65	33	31.8957473233869	1.10425267661306
66	49	49.1048085759315	-0.10480857593147
67	42	40.314645217539	1.68535478246102
68	41	44.0671512255321	-3.06715122553211
69	38	38.3275060991143	-0.327506099114316
70	42	41.9458085952077	0.0541914047923105
71	44	41.014903439551	2.985096560449
72	33	32.399177427404	0.600822572595985
73	48	49.5835689091001	-1.58356890910009
74	40	41.6496735246733	-1.64967352467332
75	50	51.2675791100133	-1.26757911001328
76	49	49.4673292214853	-0.467329221485346
77	43	42.4759597661249	0.524040233875148
78	44	42.3114215511578	1.68857844884216
79	47	47.2023177371417	-0.202317737141702
80	33	31.3398749697915	1.66012503020847
81	46	48.3564922973322	-2.35649229733216
82	0	15.4125812499604	-15.4125812499604
83	45	42.7670966958723	2.23290330412772
84	43	44.0365350010406	-1.03653500104058
85	44	44.0918872548634	-0.0918872548634258
86	47	47.2815004076033	-0.281500407603308
87	45	46.0402587114498	-1.04025871144975
88	42	41.6808700598162	0.319129940183776
89	33	32.2343753687431	0.76562463125687
90	43	43.6526048775973	-0.652604877597275
91	46	44.7542259563382	1.24577404366184
92	33	31.8788190661411	1.12118093385887
93	46	47.3411160324104	-1.34111603241042
94	48	50.3432390909941	-2.34323909099413
95	47	49.0523144585913	-2.05231445859134
96	47	48.847916449246	-1.84791644924597
97	43	42.1710516115352	0.828948388464805
98	46	47.4531171303941	-1.45311713039411
99	48	49.2495139465748	-1.24951394657475
100	46	46.6046234831302	-0.604623483130165
101	45	45.9347197066407	-0.93471970664072
102	45	44.9413588142847	0.0586411857152999
103	52	51.9922197383914	0.00778026160863292
104	42	39.6884559605473	2.31154403945273
105	47	48.7661888622672	-1.76618886226719
106	41	42.0339833257215	-1.03398332572153
107	47	45.9539095689808	1.04609043101919
108	43	43.7109439790573	-0.710943979057307
109	33	32.4385336917765	0.561466308223449
110	30	29.0435570806062	0.95644291939383
111	49	50.5848459815841	-1.58484598158412
112	44	45.560043540944	-1.56004354094395
113	55	54.4873892364708	0.512610763529176
114	11	21.8831561686947	-10.8831561686947
115	47	46.3514800279236	0.648519972076388
116	53	52.5987622820078	0.401237717992161
117	33	32.7336399234235	0.266360076576477
118	44	42.9312986439254	1.06870135607463
119	42	41.9572663789845	0.0427336210154821
120	55	55.9767437188752	-0.976743718875233
121	33	32.7543837098096	0.245616290190408
122	46	46.6637796999351	-0.663779699935086
123	54	55.4148353937316	-1.4148353937316
124	47	46.1047366495	0.895263350500001
125	45	44.0877293966235	0.912270603376527
126	47	48.2161883867728	-1.21618838677277
127	55	54.9630312162473	0.03696878375272
128	44	44.7058753490898	-0.705875349089845
129	53	49.6658998417357	3.33410015826427
130	44	43.9678002165366	0.0321997834634258
131	42	42.9284803401983	-0.928480340198258
132	40	41.3121541750297	-1.31215417502969
133	46	46.8655949457411	-0.865594945741143
134	40	39.4126394741784	0.587360525821635
135	46	45.2394135960887	0.760586403911297
136	53	50.4341853450689	2.56581465493113
137	33	32.7745766416939	0.225423358306125
138	42	38.2994344396166	3.70056556038337
139	35	33.1679266777141	1.83207332228591
140	40	38.6758431113333	1.32415688866671
141	41	42.5486129241035	-1.54861292410349
142	33	31.9316173942557	1.06838260574434
143	51	51.8155607288665	-0.815560728866481
144	53	52.9153388864372	0.0846611135627889
145	46	46.3492492793007	-0.349249279300684
146	55	55.0359396160136	-0.0359396160136493
147	47	45.5194747881729	1.48052521182706
148	38	36.332631226601	1.667368773399
149	46	45.514003934741	0.485996065258963
150	46	45.6883423604828	0.311657639517224
151	53	52.9678533868278	0.0321466131721517
152	47	49.1657486608047	-2.16574866080469
153	41	43.4204790514314	-2.42047905143139
154	44	44.147297408582	-0.147297408581974
155	43	43.1962035873464	-0.196203587346366
156	51	48.5300400105855	2.46995998941451
157	33	31.8788190661411	1.12118093385887
158	43	42.4670980157051	0.532901984294878
159	53	49.6658998417357	3.33410015826427
160	51	51.4663569849359	-0.46635698493586
161	50	52.8573778624098	-2.85737786240983
162	46	42.6280802599343	3.37191974006571

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.141661877486583	0.283323754973166	0.858338122513417
13	0.067706100769801	0.135412201539602	0.932293899230199
14	0.0330534570083667	0.0661069140167334	0.966946542991633
15	0.0166376547260019	0.0332753094520037	0.983362345273998
16	0.00614162674963187	0.0122832534992637	0.993858373250368
17	0.00324961187268665	0.0064992237453733	0.996750388127313
18	0.0011569791151027	0.0023139582302054	0.998843020884897
19	0.00112786972883344	0.00225573945766688	0.998872130271167
20	0.000432283558859462	0.000864567117718923	0.999567716441141
21	0.000206277778510703	0.000412555557021406	0.999793722221489
22	0.000144061867744731	0.000288123735489463	0.999855938132255
23	0.000237642552444311	0.000475285104888623	0.999762357447556
24	0.000456884117794446	0.000913768235588893	0.999543115882206
25	0.00021324080994886	0.000426481619897719	0.999786759190051
26	0.000301411852693207	0.000602823705386415	0.999698588147307
27	0.000864332502326729	0.00172866500465346	0.999135667497673
28	0.000542617131287546	0.00108523426257509	0.999457382868712
29	0.00312036301500698	0.00624072603001396	0.996879636984993
30	0.0057040800769003	0.0114081601538006	0.9942959199231
31	0.00351686002578538	0.00703372005157077	0.996483139974215
32	0.00308081546707763	0.00616163093415527	0.996919184532922
33	0.00180517909766278	0.00361035819532556	0.998194820902337
34	0.00334661227620089	0.00669322455240177	0.996653387723799
35	0.00757260815554949	0.015145216311099	0.992427391844451
36	0.00802336648150353	0.0160467329630071	0.991976633518497
37	0.00879417773589772	0.0175883554717954	0.991205822264102
38	0.00570837314142662	0.0114167462828532	0.994291626858573
39	0.00374340395537545	0.0074868079107509	0.996256596044625
40	0.0024113602200121	0.0048227204400242	0.997588639779988
41	0.00147943743087776	0.00295887486175551	0.998520562569122
42	0.00112241541822103	0.00224483083644205	0.998877584581779
43	0.00106999062730801	0.00213998125461602	0.998930009372692
44	0.00080187218666027	0.00160374437332054	0.99919812781334
45	0.000643682210778207	0.00128736442155641	0.999356317789222
46	0.00045170648510282	0.00090341297020564	0.999548293514897
47	0.000832249673450854	0.00166449934690171	0.999167750326549
48	0.000506755643108807	0.00101351128621761	0.999493244356891
49	0.0027772863109762	0.0055545726219524	0.997222713689024
50	0.00181488658291175	0.00362977316582349	0.998185113417088
51	0.00130519450457873	0.00261038900915746	0.998694805495421
52	0.000882360940059909	0.00176472188011982	0.99911763905994
53	0.000784397174171837	0.00156879434834367	0.999215602825828
54	0.0608096877955278	0.121619375591056	0.939190312204472
55	0.0590417491837774	0.118083498367555	0.940958250816223
56	0.051622828358415	0.10324565671683	0.948377171641585
57	0.0393823584769409	0.0787647169538819	0.960617641523059
58	0.0350560611999487	0.0701121223998974	0.964943938800051
59	0.0324508221632992	0.0649016443265983	0.967549177836701
60	0.0244584062974877	0.0489168125949755	0.975541593702512
61	0.018323341550159	0.0366466831003181	0.981676658449841
62	0.0172735508907083	0.0345471017814166	0.982726449109292
63	0.018289283405141	0.036578566810282	0.981710716594859
64	0.0153902104734554	0.0307804209469109	0.984609789526545
65	0.0123968857295671	0.0247937714591342	0.987603114270433
66	0.00906972684880423	0.0181394536976085	0.990930273151196
67	0.00780985811887988	0.0156197162377598	0.99219014188112
68	0.0107005233536342	0.0214010467072683	0.989299476646366
69	0.00857758232756958	0.0171551646551392	0.99142241767243
70	0.0066137372345977	0.0132274744691954	0.993386262765402
71	0.0105506651428517	0.0211013302857034	0.989449334857148
72	0.00953367234023182	0.0190673446804636	0.990466327659768
73	0.00915608747799407	0.0183121749559881	0.990843912522006
74	0.0113393651366489	0.0226787302732978	0.988660634863351
75	0.00902283368002713	0.0180456673600543	0.990977166319973
76	0.00678115880534471	0.0135623176106894	0.993218841194655
77	0.00509232151082163	0.0101846430216433	0.994907678489178
78	0.00489635841884162	0.00979271683768323	0.995103641581158
79	0.00361092008286126	0.00722184016572251	0.996389079917139
80	0.00321403844697415	0.00642807689394831	0.996785961553026
81	0.00313303387473605	0.00626606774947211	0.996866966125264
82	0.997673348222997	0.00465330355400641	0.0023266517770032
83	0.997660639537391	0.00467872092521699	0.0023393604626085
84	0.996884011617931	0.0062319767641385	0.00311598838206925
85	0.995539084531278	0.00892183093744463	0.00446091546872232
86	0.993740066032883	0.0125198679342332	0.0062599339671166
87	0.991880828128514	0.0162383437429721	0.00811917187148607
88	0.988848352740581	0.0223032945188388	0.0111516472594194
89	0.985303949606011	0.0293921007879777	0.0146960503939889
90	0.980776261079261	0.0384474778414785	0.0192237389207393
91	0.976198543738556	0.0476029125228886	0.0238014562614443
92	0.971466426049899	0.0570671479002013	0.0285335739501006
93	0.965251506843112	0.0694969863137759	0.034748493156888
94	0.965949246232643	0.0681015075347134	0.0340507537673567
95	0.96339620565347	0.0732075886930598	0.0366037943465299
96	0.960545267850791	0.0789094642984184	0.0394547321492092
97	0.951359972002927	0.0972800559941457	0.0486400279970729
98	0.946255482070413	0.107489035859175	0.0537445179295875
99	0.936954344992318	0.126091310015363	0.0630456550076816
100	0.921456640864149	0.157086718271702	0.0785433591358512
101	0.904380579276628	0.191238841446743	0.0956194207233717
102	0.881235733979258	0.237528532041485	0.118764266020742
103	0.854336537810644	0.291326924378713	0.145663462189356
104	0.854397091145999	0.291205817708002	0.145602908854001
105	0.850228198600367	0.299543602799265	0.149771801399633
106	0.823274326135891	0.353451347728219	0.176725673864109
107	0.793018135946164	0.413963728107672	0.206981864053836
108	0.759051741510483	0.481896516979034	0.240948258489517
109	0.724845038354358	0.550309923291284	0.275154961645642
110	0.699331584378149	0.601336831243702	0.300668415621851
111	0.688038406253603	0.623923187492793	0.311961593746397
112	0.657370989435376	0.685258021129249	0.342629010564624
113	0.611176584030371	0.777646831939259	0.388823415969629
114	0.999975199243001	4.96015139978988e-05	2.48007569989494e-05
115	0.999959011123335	8.19777533297823e-05	4.09888766648912e-05
116	0.999929199828869	0.000141600342261294	7.08001711306472e-05
117	0.999891561179245	0.000216877641509435	0.000108438820754718
118	0.999811702577645	0.000376594844710052	0.000188297422355026
119	0.999665020517706	0.000669958964587942	0.000334979482293971
120	0.999437002074685	0.00112599585063001	0.000562997925315006
121	0.9991025758331	0.0017948483338002	0.0008974241669001
122	0.998578131229974	0.00284373754005257	0.00142186877002628
123	0.997882039642444	0.00423592071511224	0.00211796035755612
124	0.996839006842929	0.00632198631414149	0.00316099315707075
125	0.994986797233784	0.0100264055324321	0.00501320276621603
126	0.992640089204053	0.0147198215918937	0.00735991079594687
127	0.988500567667891	0.0229988646642185	0.0114994323321093
128	0.98733618870637	0.0253276225872599	0.0126638112936299
129	0.987740675500629	0.0245186489987418	0.0122593244993709
130	0.982434443300082	0.0351311133998362	0.0175655566999181
131	0.976188681529182	0.0476226369416359	0.023811318470818
132	0.969289018128018	0.061421963743963	0.0307109818719815
133	0.960564915808803	0.0788701683823945	0.0394350841911973
134	0.948898431726923	0.102203136546153	0.0511015682730765
135	0.926396356053251	0.147207287893498	0.0736036439467488
136	0.939594804495462	0.120810391009076	0.0604051955045381
137	0.935981089547505	0.12803782090499	0.064018910452495
138	0.955858078318465	0.0882838433630699	0.044141921681535
139	0.94452973411574	0.11094053176852	0.05547026588426
140	0.915044763813686	0.169910472372628	0.0849552361863142
141	0.933014302653352	0.133971394693296	0.0669856973466479
142	0.897573876815958	0.204852246368084	0.102426123184042
143	0.879569397130906	0.240861205738188	0.120430602869094
144	0.822414312056478	0.355171375887044	0.177585687943522
145	0.816240970987062	0.367518058025876	0.183759029012938
146	0.781016063631396	0.437967872737208	0.218983936368604
147	0.745815845986469	0.508368308027062	0.254184154013531
148	0.804549441484209	0.390901117031582	0.195450558515791
149	0.716831066538519	0.566337866922962	0.283168933461481
150	0.556475944093981	0.887048111812038	0.443524055906019

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	51	0.366906474820144	NOK
5% type I error level	89	0.640287769784173	NOK
10% type I error level	102	0.733812949640288	NOK