Multiple Linear Regression - Estimated Regression Equation

happiness[t] = + 12.6547460959361 -0.351184559016834depression[t] + 0.0137609572325931connected[t] + 0.0739108725388224separate[t] + 0.0661953497728065learning[t] -0.0462160812507193software[t] + 0.05850992084206belonging[t] -0.0393031134505446`belonging_final\r\r`[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)	12.6547460959361	2.579722	4.9055	2e-06	1e-06
depression	-0.351184559016834	0.052485	-6.6912	0	0
connected	0.0137609572325931	0.050298	0.2736	0.784768	0.392384
separate	0.0739108725388224	0.046838	1.578	0.116612	0.058306
learning	0.0661953497728065	0.084678	0.7817	0.435576	0.217788
software	-0.0462160812507193	0.085884	-0.5381	0.591271	0.295635
belonging	0.05850992084206	0.046748	1.2516	0.212611	0.106305
`belonging_final\r\r`	-0.0393031134505446	0.067414	-0.583	0.560736	0.280368

Multiple Linear Regression - Regression Statistics
Multiple R	0.579316084592813
R-squared	0.335607125867947
Adjusted R-squared	0.305407449771035
F-TEST (value)	11.1129379265849
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	2.443512059358e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.94822277716126
Sum Squared Residuals	584.518086375289

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.9626165369954	0.0373834630046499
2	18	15.2716843091108	2.7283156908892
3	11	13.5132659631127	-2.51326596311267
4	12	14.3305506597591	-2.33055065975914
5	16	11.4471817922587	4.55281820774132
6	18	14.1804864225451	3.81951357745488
7	14	10.1065294559741	3.89347054402585
8	14	15.0212261214269	-1.02122612142689
9	15	15.1584114638485	-0.158411463848536
10	15	14.7222568137072	0.277743186292753
11	17	15.2504499006136	1.7495500993864
12	19	15.2206993534543	3.77930064654567
13	10	13.2707411772324	-3.27074117723238
14	16	13.4967344424571	2.50326555754289
15	18	15.7710922061371	2.22890779386291
16	14	13.0345722911279	0.965427708872069
17	14	13.749078043281	0.250921956718962
18	17	15.9190644062841	1.08093559371587
19	14	15.3045376788863	-1.30453767888631
20	16	13.3195314065367	2.68046859346331
21	18	15.876839434753	2.12316056524695
22	11	13.2098592394067	-2.20985923940674
23	14	14.3052574473078	-0.305257447307763
24	12	13.5029307884127	-1.50293078841269
25	17	15.3910087079345	1.6089912920655
26	9	15.7814914576308	-6.78149145763084
27	16	15.227675835464	0.772324164536037
28	14	13.2295442386558	0.770455761344155
29	15	13.9309989939196	1.06900100608037
30	11	13.6516799573128	-2.65167995731277
31	16	15.1834575499536	0.816542450046365
32	13	12.4108200060772	0.589179993922839
33	17	14.8720375578022	2.12796244219781
34	15	15.2912886223555	-0.291288622355472
35	14	13.8256908499904	0.17430915000963
36	16	15.2894013166425	0.710598683357498
37	9	10.9379265496515	-1.93792654965154
38	15	14.2112970651121	0.788702934887867
39	17	15.0689808633457	1.93101913665428
40	13	15.0470113597267	-2.04701135972668
41	15	15.5264472245285	-0.526447224528547
42	16	13.676142602531	2.32385739746903
43	16	15.2265326781809	0.773467321819062
44	12	12.9475480177547	-0.947548017754705
45	12	14.2351646101679	-2.2351646101679
46	11	13.7654887369126	-2.76548873691257
47	15	15.3385622855577	-0.338562285557676
48	15	14.8236513990101	0.176348600989859
49	17	13.9207374075288	3.0792625924712
50	13	14.6715261225225	-1.67152612252248
51	16	15.2873420613452	0.71265793865477
52	14	13.2084533200165	0.791546679983542
53	11	11.6844944965019	-0.684494496501932
54	12	13.2926363856721	-1.29263638567211
55	12	14.2331051699681	-2.23310516996811
56	15	14.5637807877183	0.43621921228166
57	16	14.2046204855026	1.7953795144974
58	15	15.1800890437012	-0.180089043701223
59	12	15.3785910307025	-3.37859103070251
60	12	13.3842062445729	-1.38420624457285
61	8	10.4275458663947	-2.42754586639469
62	13	14.717573849813	-1.71757384981302
63	11	14.64400873092	-3.64400873092004
64	14	12.9941098526513	1.00589014734874
65	15	13.2155220262885	1.78447797371149
66	10	15.2875047319946	-5.28750473199464
67	11	12.5222987609356	-1.52229876093564
68	12	14.1918896354108	-2.19188963541079
69	15	14.0148169865355	0.985183013464536
70	15	13.8454844513132	1.1545155486868
71	14	13.7561071672698	0.243892832730181
72	16	12.9030715260339	3.09692847396608
73	15	14.8369887046207	0.163011295379289
74	15	15.7057138131789	-0.705713813178867
75	13	14.7093923507694	-1.70939235076943
76	12	12.2005603060215	-0.200560306021457
77	17	14.197181650936	2.80281834906399
78	13	12.3023144361468	0.6976855638532
79	15	13.7298548246343	1.27014517536572
80	13	14.3658996438983	-1.36589964389833
81	15	15.2254920959781	-0.225492095978113
82	16	14.9852807255583	1.0147192744417
83	15	15.6005177477299	-0.600517747729854
84	16	14.4082732138017	1.59172678619835
85	15	14.3617823471356	0.638217652864376
86	14	14.0896778226171	-0.0896778226171075
87	15	14.6251813560127	0.374818643987272
88	14	14.2985990372652	-0.298599037265213
89	13	12.5182589946307	0.481741005369304
90	7	10.6658540321768	-3.66585403217676
91	17	14.0184083830878	2.98159161691217
92	13	12.5421328012795	0.457867198720504
93	15	14.8031794134196	0.196820586580376
94	14	13.2464341082199	0.75356589178011
95	13	14.8987883489047	-1.89878834890474
96	16	15.4196968092666	0.580303190733374
97	12	12.9372963079658	-0.937296307965809
98	14	14.9635979706593	-0.963597970659285
99	17	15.1711277946139	1.82887220538613
100	15	15.347427398192	-0.347427398192
101	17	15.4168226295808	1.58317737041916
102	12	13.1851619269344	-1.1851619269344
103	16	15.230875280886	0.769124719113958
104	11	13.9970483727683	-2.99704837276825
105	15	13.6982148863106	1.30178511368941
106	9	11.5710192229879	-2.57101922298795
107	16	15.0717484833983	0.928251516601662
108	15	13.4512195499863	1.54878045001369
109	10	12.882534394126	-2.88253439412603
110	10	9.90548907090124	0.0945109290987566
111	15	14.0404542243267	0.959545775673266
112	11	13.2651237880185	-2.26512378801848
113	13	15.8665581989868	-2.8665581989868
114	14	12.4095925332386	1.59040746676138
115	18	14.3943475082475	3.6056524917525
116	16	15.5566992638055	0.443300736194469
117	14	13.3371675820921	0.66283241790785
118	14	14.4370179901121	-0.437017990112142
119	14	15.2736936187868	-1.27369361878684
120	14	14.1794397542815	-0.179439754281502
121	12	12.7904872181875	-0.79048721818748
122	14	13.2574728078361	0.742527192163875
123	15	15.5881177512554	-0.588117751255371
124	15	16.1746463085585	-1.17464630855847
125	15	14.4317698906587	0.56823010934134
126	13	14.7982862066938	-1.79828620669376
127	17	16.3820859472053	0.617914052794726
128	17	15.8482478558843	1.15175214411575
129	19	15.1398430374878	3.86015696251223
130	15	13.7793837379593	1.22061626204067
131	13	14.7715637706962	-1.77156377069619
132	9	10.8246164808787	-1.82461648087872
133	15	15.8147587114807	-0.814758711480678
134	15	12.4928373523562	2.50716264764379
135	15	14.6522328072134	0.347767192786616
136	16	13.4750139725228	2.52498602747718
137	11	8.89597503430894	2.10402496569105
138	14	13.3128629554285	0.687137044571486
139	11	12.0854171971992	-1.08541719719924
140	15	14.3834450593497	0.616554940650327
141	13	13.9933765543591	-0.9933765543591
142	15	14.6481507314932	0.351849268506834
143	16	14.1513207330891	1.84867926691088
144	14	14.8211085504859	-0.821108550485935
145	15	13.815140519058	1.184859480942
146	16	14.9713278476439	1.02867215235611
147	16	14.0666904691975	1.93330953080255
148	11	13.568556211929	-2.56855621192902
149	12	14.6081370926832	-2.60813709268317
150	9	11.7368967175347	-2.73689671753472
151	16	15.074690979256	0.925309020743982
152	13	13.1644296850352	-0.164429685035201
153	16	15.9565283605904	0.0434716394095803
154	12	15.0698953375539	-3.06989533755392
155	9	11.8809995506193	-2.88099955061928
156	13	11.9303125584374	1.06968744156258
157	13	12.5421328012795	0.457867198720504
158	14	13.8436089043508	0.156391095649229
159	19	15.1398430374878	3.86015696251223
160	13	15.7882287992974	-2.78822879929738
161	12	12.7349484294086	-0.734948429408634
162	13	12.8845093253904	0.115490674609605

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.0594429281729404	0.118885856345881	0.94055707182706
12	0.885682392212383	0.228635215575234	0.114317607787617
13	0.983884498012487	0.0322310039750252	0.0161155019875126
14	0.974540933051691	0.0509181338966185	0.0254590669483092
15	0.98564854135685	0.0287029172862996	0.0143514586431498
16	0.974701768666339	0.0505964626673215	0.0252982313336608
17	0.975723155924303	0.0485536881513937	0.0242768440756968
18	0.961481547751962	0.0770369044960749	0.0385184522480375
19	0.942060397416027	0.115879205167945	0.0579396025839726
20	0.942892938112099	0.114214123775803	0.0571070618879015
21	0.94980952782001	0.10038094435998	0.05019047217999
22	0.951748822563112	0.0965023548737756	0.0482511774368878
23	0.947337630769471	0.105324738461059	0.0526623692305295
24	0.926497968801876	0.147004062396248	0.0735020311981242
25	0.904056604351282	0.191886791297436	0.095943395648718
26	0.999687546123821	0.000624907752357734	0.000312453876178867
27	0.999458972102793	0.00108205579441392	0.000541027897206959
28	0.999095078050605	0.00180984389878958	0.00090492194939479
29	0.998558495610971	0.00288300877805786	0.00144150438902893
30	0.999001381342803	0.00199723731439448	0.00099861865719724
31	0.998425463352968	0.00314907329406365	0.00157453664703182
32	0.997667886505786	0.00466422698842829	0.00233211349421414
33	0.99729374187836	0.00541251624327969	0.00270625812163985
34	0.995891207292579	0.00821758541484116	0.00410879270742058
35	0.994719464480102	0.0105610710397958	0.00528053551989792
36	0.992280590259752	0.0154388194804963	0.00771940974024813
37	0.995011997015261	0.00997600596947711	0.00498800298473856
38	0.992817213272817	0.0143655734543661	0.00718278672718303
39	0.992078549977432	0.0158429000451359	0.00792145002256796
40	0.992226596776893	0.0155468064462144	0.00777340322310719
41	0.989204381844496	0.0215912363110073	0.0107956181555036
42	0.988382275599893	0.0232354488002138	0.0116177244001069
43	0.984213521933174	0.0315729561336527	0.0157864780668264
44	0.980728397116919	0.0385432057661621	0.0192716028830811
45	0.983422318421542	0.033155363156915	0.0165776815784575
46	0.988278091644948	0.0234438167101038	0.0117219083550519
47	0.983840549979486	0.0323189000410286	0.0161594500205143
48	0.977953844188085	0.0440923116238293	0.0220461558119147
49	0.982388878799556	0.0352222424008869	0.0176111212004435
50	0.980849811912917	0.0383003761741657	0.0191501880870828
51	0.974723114042275	0.0505537719154507	0.0252768859577254
52	0.967179897492513	0.0656402050149746	0.0328201025074873
53	0.960569972274866	0.0788600554502677	0.0394300277251338
54	0.951921281975222	0.0961574360495564	0.0480787180247782
55	0.953627573243516	0.0927448535129686	0.0463724267564843
56	0.94146552203699	0.117068955926019	0.0585344779630096
57	0.936789707018614	0.126420585962772	0.0632102929813861
58	0.920462113327674	0.159075773344652	0.079537886672326
59	0.950225228511357	0.0995495429772858	0.0497747714886429
60	0.945685218428519	0.108629563142961	0.0543147815714807
61	0.953632805682646	0.0927343886347074	0.0463671943173537
62	0.952681648219098	0.0946367035618037	0.0473183517809018
63	0.976490903139858	0.0470181937202849	0.0235090968601424
64	0.971104847989886	0.057790304020228	0.028895152010114
65	0.968863061710485	0.0622738765790299	0.031136938289515
66	0.994985256176522	0.0100294876469559	0.00501474382347796
67	0.994313830007102	0.0113723399857957	0.00568616999289785
68	0.995044717321435	0.00991056535712954	0.00495528267856477
69	0.993636950693661	0.0127260986126779	0.00636304930633894
70	0.992119023592853	0.0157619528142941	0.00788097640714706
71	0.989258929316778	0.0214821413664445	0.0107410706832222
72	0.993275060930097	0.0134498781398055	0.00672493906990277
73	0.990780762055191	0.0184384758896169	0.00921923794480845
74	0.987867171256718	0.0242656574865634	0.0121328287432817
75	0.987234447430019	0.0255311051399613	0.0127655525699806
76	0.982878394867972	0.034243210264055	0.0171216051320275
77	0.987756290934225	0.0244874181315503	0.0122437090657752
78	0.984248080152326	0.0315038396953489	0.0157519198476744
79	0.981319936107027	0.0373601277859453	0.0186800638929727
80	0.979386125161112	0.0412277496777768	0.0206138748388884
81	0.972845618712634	0.0543087625747321	0.027154381287366
82	0.967216406597812	0.0655671868043756	0.0327835934021878
83	0.958616471354864	0.0827670572902727	0.0413835286451364
84	0.954537932513818	0.0909241349723649	0.0454620674861824
85	0.943526030600976	0.112947938798047	0.0564739693990237
86	0.928843091031019	0.142313817937963	0.0711569089689814
87	0.912035093864121	0.175929812271758	0.0879649061358789
88	0.891900928228822	0.216198143542356	0.108099071771178
89	0.871462647861765	0.257074704276471	0.128537352138235
90	0.920063150524098	0.159873698951805	0.0799368494759023
91	0.941525899612601	0.116948200774798	0.0584741003873988
92	0.927790556637472	0.144418886725056	0.072209443362528
93	0.911536500771415	0.17692699845717	0.0884634992285852
94	0.89361078412851	0.21277843174298	0.10638921587149
95	0.894028331275371	0.211943337449259	0.105971668724629
96	0.872006794742176	0.255986410515648	0.127993205257824
97	0.849937708667579	0.300124582664842	0.150062291332421
98	0.830668265446148	0.338663469107705	0.169331734553852
99	0.825323802809726	0.349352394380547	0.174676197190274
100	0.792912568438698	0.414174863122604	0.207087431561302
101	0.784077779041427	0.431844441917147	0.215922220958574
102	0.758859754812657	0.482280490374686	0.241140245187343
103	0.731816996524289	0.536366006951422	0.268183003475711
104	0.803979662856762	0.392040674286475	0.196020337143238
105	0.807707714227492	0.384584571545016	0.192292285772508
106	0.840290489322774	0.319419021354452	0.159709510677226
107	0.814811216696267	0.370377566607466	0.185188783303733
108	0.820437309973397	0.359125380053206	0.179562690026603
109	0.856567244031106	0.286865511937789	0.143432755968894
110	0.829846430517653	0.340307138964694	0.170153569482347
111	0.818943472299642	0.362113055400716	0.181056527700358
112	0.814793190089356	0.370413619821288	0.185206809910644
113	0.824749976127215	0.35050004774557	0.175250023872785
114	0.9141863852332	0.171627229533601	0.0858136147668004
115	0.954940388238225	0.0901192235235505	0.0450596117617752
116	0.940758946506667	0.118482106986667	0.0592410534933333
117	0.944949564387072	0.110100871225856	0.0550504356129282
118	0.927852427138641	0.144295145722718	0.0721475728613592
119	0.914305497787133	0.171389004425733	0.0856945022128667
120	0.89006494779253	0.219870104414939	0.10993505220747
121	0.864251642985153	0.271496714029693	0.135748357014847
122	0.832848327662023	0.334303344675954	0.167151672337977
123	0.794942879240181	0.410114241519638	0.205057120759819
124	0.764376005514871	0.471247988970258	0.235623994485129
125	0.717186231708518	0.565627536582964	0.282813768291482
126	0.694713329341688	0.610573341316623	0.305286670658312
127	0.64488394712647	0.710232105747059	0.35511605287353
128	0.674231127178221	0.651537745643558	0.325768872821779
129	0.735787497635217	0.528425004729566	0.264212502364783
130	0.708397030553039	0.583205938893922	0.291602969446961
131	0.681561078214077	0.636877843571846	0.318438921785923
132	0.654537088455096	0.690925823089808	0.345462911544904
133	0.595885209677064	0.808229580645871	0.404114790322936
134	0.607649669105862	0.784700661788276	0.392350330894138
135	0.559380080890226	0.881239838219548	0.440619919109774
136	0.524115105686694	0.951769788626611	0.475884894313306
137	0.55316810648028	0.893663787039439	0.44683189351972
138	0.482359417356462	0.964718834712925	0.517640582643538
139	0.410278512631143	0.820557025262285	0.589721487368857
140	0.344716428115109	0.689432856230218	0.655283571884891
141	0.276349172546872	0.552698345093744	0.723650827453128
142	0.234035294694128	0.468070589388256	0.765964705305872
143	0.243422575780464	0.486845151560928	0.756577424219536
144	0.203758896283672	0.407517792567344	0.796241103716328
145	0.194787957862502	0.389575915725004	0.805212042137498
146	0.192350875784388	0.384701751568775	0.807649124215612
147	0.321510159372848	0.643020318745696	0.678489840627152
148	0.768888886542935	0.462222226914131	0.231111113457065
149	0.820664829886079	0.358670340227842	0.179335170113921
150	0.704865831665592	0.590268336668817	0.295134168334408
151	0.578013306757232	0.843973386485536	0.421986693242768

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	11	0.0780141843971631	NOK
5% type I error level	44	0.312056737588652	NOK
10% type I error level	63	0.446808510638298	NOK