Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 15.5282458561804 + 0.941406418049676Gender[t] -0.000730235000626446Age[t] + 0.0264826750048297Connected[t] + 0.0331485562197887Separate[t] + 0.0616396535442406Learning[t] -0.0753991841795592Software[t] -0.398639683870163Depression[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)	15.5282458561804	2.277951	6.8168	0	0
Gender	0.941406418049676	0.328462	2.8661	0.004737	0.002369
Age	-0.000730235000626446	0.133867	-0.0055	0.995655	0.497827
Connected	0.0264826750048297	0.05002	0.5294	0.59726	0.29863
Separate	0.0331485562197887	0.047505	0.6978	0.486363	0.243181
Learning	0.0616396535442406	0.083992	0.7339	0.46414	0.23207
Software	-0.0753991841795592	0.086087	-0.8759	0.382474	0.191237
Depression	-0.398639683870163	0.049829	-8.0002	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.590254016223806
R-squared	0.348399803668333
Adjusted R-squared	0.318781612925985
F-TEST (value)	11.7630346397286
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	5.98310290200743e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.92937539978622
Sum Squared Residuals	573.263372728238

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	14.8642309383039	-0.864230938303896
2	18	15.2727925496592	2.72720745034084
3	11	13.8212973155791	-2.82129731557905
4	12	14.069389871274	-2.06938987127403
5	16	11.0434567365828	4.95654326341716
6	18	14.5585264856565	3.44147351434348
7	14	10.9641272473207	3.03587275267926
8	14	14.9844059584306	-0.984405958430625
9	15	15.4927513859062	-0.492751385906161
10	15	14.9375256715821	0.0624743284179113
11	17	14.745063533434	2.25493646656604
12	19	16.3801615045152	2.61983849548482
13	10	12.7343912056038	-2.73439120560381
14	16	14.2750346003668	1.72496539963322
15	18	15.436861411424	2.56313858857596
16	14	12.8454678384606	1.15453216153945
17	14	13.0683181156186	0.931681884381429
18	17	15.6156304069698	1.38436959303016
19	14	15.050005754885	-1.05000575488498
20	16	14.2132748027042	1.78672519729579
21	18	15.7737146982761	2.22628530172388
22	11	13.7564643576107	-2.75646435761068
23	14	15.1057043253801	-1.10570432538008
24	12	14.2544875715763	-2.25448757157628
25	17	14.5438241535128	2.45617584648716
26	9	16.0346087875949	-7.0346087875949
27	16	14.4231317844308	1.57686821556921
28	14	13.3965131041649	0.603486895835072
29	15	13.8757268200599	1.12427317994008
30	11	13.3869618221559	-2.38696182215588
31	16	15.5885774547579	0.411422545242104
32	13	12.3986742344326	0.601325765567411
33	17	15.5367079693903	1.46329203060967
34	15	15.2307227715544	-0.230722771554396
35	14	13.1367177851374	0.863282214862609
36	16	15.121914869226	0.878085130773973
37	9	10.4528116701423	-1.45281167014228
38	15	13.6877684876766	1.31223151232342
39	17	15.4488561114408	1.5511438885592
40	13	14.7326428558597	-1.73264285585968
41	15	15.1510993335197	-0.151099333519711
42	16	13.777469717975	2.22253028202498
43	16	15.4457843856739	0.55421561432613
44	12	13.0140745782899	-1.01407457828992
45	12	15.064375056865	-3.064375056865
46	11	14.1369355786665	-3.13693557866652
47	15	16.0015514604856	-1.00155146048558
48	15	15.1185539585255	-0.118553958525519
49	17	13.7984073614834	3.20159263851662
50	13	14.1062249653366	-1.10622496533661
51	16	15.4594775282762	0.540522471723803
52	14	12.8359111196167	1.16408888038331
53	11	11.0667203773478	-0.0667203773478001
54	12	13.9910926219829	-1.99109262198288
55	12	14.1669249368433	-2.16692493684335
56	15	15.0749041295887	-0.0749041295886529
57	16	14.4656808751782	1.53431912482177
58	15	15.7968733306118	-0.796873330611835
59	12	14.7472848018043	-2.74728480180428
60	12	13.7132691757777	-1.7132691757777
61	8	10.4277287993967	-2.42772879939667
62	13	13.8957012309933	-0.895701230993257
63	11	14.6142573718849	-3.61425737188491
64	14	13.838987754579	0.161012245420961
65	15	14.2330915964941	0.766908403505916
66	10	14.3020394978742	-4.30203949787423
67	11	12.7973036096322	-1.79730360963223
68	12	13.6512086636848	-1.65120866368476
69	15	14.4187438333206	0.581256166679378
70	15	13.1198799768991	1.88012002310094
71	14	13.4965779450167	0.503422054983283
72	16	13.5419844443701	2.45801555562988
73	15	14.4729516899836	0.527048310016364
74	15	14.8982316660021	0.101768333997906
75	13	13.9571005563062	-0.957100556306207
76	12	12.229085753161	-0.229085753161008
77	17	14.4367620096484	2.56323799035163
78	13	12.713932045193	0.286067954807009
79	15	12.949330637784	2.05066936221604
80	13	14.8330977140604	-1.8330977140604
81	15	14.2289548872795	0.771045112720525
82	16	15.0471112327861	0.952888767213876
83	15	16.0544848142996	-1.05448481429955
84	16	13.7766210512263	2.22337894877372
85	15	14.6912408946486	0.308759105351353
86	14	14.3566770548477	-0.356677054847747
87	15	13.7671830436735	1.23281695632651
88	14	14.70615474402	-0.706154744020037
89	13	13.33727764495	-0.337277644950024
90	7	10.625699930555	-3.625699930555
91	17	14.3004857609415	2.69951423905849
92	13	13.35882870599	-0.358828705990022
93	15	14.5925203036981	0.407479696301946
94	14	13.2232220265417	0.776777973458255
95	13	15.0792599912285	-2.07925999122854
96	16	15.4800557237172	0.519944276282751
97	12	13.1752760805989	-1.17527608059893
98	14	15.2837814267785	-1.28378142677855
99	17	14.2693187098598	2.73068129014016
100	15	14.6279007224148	0.37209927758518
101	17	15.551346230865	1.44865376913503
102	12	12.3839377959077	-0.383937795907748
103	16	14.9046792643316	1.09532073566845
104	11	13.9510432931517	-2.95104329315165
105	15	13.3534682088185	1.64653179118149
106	9	10.9084331908407	-1.90843319084073
107	16	15.3319960126784	0.668003987321621
108	15	12.546333301626	2.45366669837396
109	10	12.7560948047731	-2.75609480477308
110	10	10.580010104103	-0.580010104103011
111	15	13.8286971162646	1.1713028837354
112	11	13.2725931828204	-2.27259318282035
113	13	15.4473904841477	-2.44739048414769
114	14	12.3989480316815	1.60105196831854
115	18	14.7163251982215	3.28367480177849
116	16	14.6473506991975	1.35264930080253
117	14	13.9076277523291	0.0923722476708503
118	14	14.7112065021032	-0.711206502103191
119	14	15.8242421053959	-1.8242421053959
120	14	13.7082159448726	0.291784055127353
121	12	13.4994313496151	-1.49943134961512
122	14	13.5455500085495	0.454449991450534
123	15	15.2165711533793	-0.216571153379318
124	15	16.3877098010394	-1.38770980103942
125	15	14.868309921507	0.131690078492965
126	13	14.7924829691221	-1.79248296912207
127	17	15.5403344788547	1.45966552114533
128	17	16.0967949206356	0.903205079364393
129	19	15.334188969323	3.66581103067704
130	15	14.1561724239423	0.843827576057659
131	13	14.254555146975	-1.25455514697502
132	9	10.0824816304594	-1.08248163045944
133	15	16.0891250071711	-1.08912500717115
134	15	12.106909804455	2.89309019554504
135	15	13.8799939437804	1.12000605621965
136	16	13.6535497966304	2.34645020336956
137	11	8.89079434564291	2.10920565435709
138	14	13.0393992500887	0.960600749911282
139	11	12.9064361703813	-1.90643617038135
140	15	15.2120676654405	-0.212067665440508
141	13	13.4780118563652	-0.478011856365243
142	15	15.7763574684719	-0.776357468471892
143	16	13.05257883221	2.94742116779002
144	14	14.4952973762309	-0.495297376230899
145	15	13.4225480417226	1.57745195827742
146	16	15.1217560647168	0.878243935283191
147	16	14.4962425333862	1.50375746661376
148	11	13.3269348189215	-2.32693481892154
149	12	14.0374596661763	-2.03745966617633
150	9	11.000756898354	-2.000756898354
151	16	15.0107386647749	0.989261335225145
152	13	12.912246760647	0.0877532393529982
153	16	15.3422906550004	0.657709344999619
154	12	15.3765277452054	-3.37652774520537
155	9	12.1447690315664	-3.14476903156643
156	13	12.1473600225931	0.85263997740689
157	13	13.35882870599	-0.358828705990022
158	14	14.2485842793783	-0.248584279378254
159	19	15.334188969323	3.66581103067704
160	13	15.9361980723741	-2.93619807237409
161	12	12.3752904095547	-0.375290409554664
162	13	13.3203233370687	-0.320323337068679

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.766137168694648	0.467725662610704	0.233862831305352
12	0.816328745517329	0.367342508965342	0.183671254482671
13	0.745474284743264	0.509051430513473	0.254525715256736
14	0.642526702273774	0.714946595452452	0.357473297726226
15	0.570561436593658	0.858877126812684	0.429438563406342
16	0.632851241829493	0.734297516341014	0.367148758170507
17	0.605497078275314	0.789005843449372	0.394502921724686
18	0.520311768277636	0.959376463444729	0.479688231722364
19	0.524923003140602	0.950153993718795	0.475076996859398
20	0.529990980943302	0.940018038113396	0.470009019056698
21	0.7279341927307	0.5441316145386	0.2720658072693
22	0.879803009707788	0.240393980584425	0.120196990292212
23	0.886466380570239	0.227067238859522	0.113533619429761
24	0.907161964412505	0.185676071174991	0.0928380355874954
25	0.901101435751094	0.197797128497811	0.0988985642489056
26	0.998070455780344	0.00385908843931145	0.00192954421965572
27	0.998145389227766	0.00370922154446813	0.00185461077223407
28	0.997136348613418	0.00572730277316369	0.00286365138658185
29	0.995728126827793	0.00854374634441444	0.00427187317220722
30	0.995850728216855	0.0082985435662903	0.00414927178314515
31	0.993917251710909	0.012165496578181	0.0060827482890905
32	0.990899484116967	0.018201031766066	0.00910051588303299
33	0.987398248135105	0.0252035037297908	0.0126017518648954
34	0.982403662140936	0.0351926757181271	0.0175963378590636
35	0.976955143064931	0.0460897138701379	0.023044856935069
36	0.969247087831996	0.0615058243360078	0.0307529121680039
37	0.974364669556	0.0512706608880005	0.0256353304440002
38	0.972649921796318	0.0547001564073645	0.0273500782036822
39	0.965779521681569	0.0684409566368617	0.0342204783184308
40	0.960039027922292	0.0799219441554153	0.0399609720777077
41	0.947058787262705	0.105882425474591	0.0529412127372953
42	0.940710880141364	0.118578239717272	0.0592891198586361
43	0.930361520084571	0.139276959830859	0.0696384799154295
44	0.919739145313808	0.160521709372384	0.080260854686192
45	0.975664644198696	0.0486707116026085	0.0243353558013042
46	0.985787978993989	0.0284240420120222	0.0142120210060111
47	0.981394408594747	0.0372111828105054	0.0186055914052527
48	0.974764956785266	0.0504700864294673	0.0252350432147337
49	0.986541350830398	0.026917298339204	0.013458649169602
50	0.982700376053406	0.0345992478931884	0.0172996239465942
51	0.977621963041845	0.0447560739163096	0.0223780369581548
52	0.972155721402548	0.0556885571949034	0.0278442785974517
53	0.963193719230433	0.0736125615391348	0.0368062807695674
54	0.966321804481295	0.0673563910374091	0.0336781955187046
55	0.967799931193442	0.0644001376131151	0.0322000688065575
56	0.958031291981326	0.0839374160373474	0.0419687080186737
57	0.952652927201891	0.0946941455962185	0.0473470727981093
58	0.94200019119329	0.11599961761342	0.05799980880671
59	0.951436978730978	0.0971260425380446	0.0485630212690223
60	0.952271421653764	0.0954571566924729	0.0477285783462364
61	0.962096159648706	0.0758076807025875	0.0379038403512938
62	0.953676333280808	0.0926473334383832	0.0463236667191916
63	0.975663357048981	0.0486732859020372	0.0243366429510186
64	0.968653646673963	0.0626927066520734	0.0313463533260367
65	0.960716334218802	0.0785673315623966	0.0392836657811983
66	0.985119870606085	0.0297602587878298	0.0148801293939149
67	0.98437137218267	0.0312572556346601	0.0156286278173301
68	0.984324163042074	0.0313516739158526	0.0156758369579263
69	0.98028248274077	0.0394350345184607	0.0197175172592304
70	0.980951051808243	0.0380978963835145	0.0190489481917572
71	0.975762544791406	0.0484749104171886	0.0242374552085943
72	0.979441172064044	0.0411176558719127	0.0205588279359564
73	0.973583923849324	0.052832152301351	0.0264160761506755
74	0.965982933283031	0.0680341334339388	0.0340170667169694
75	0.959507897495562	0.080984205008877	0.0404921025044385
76	0.948946707665298	0.102106584669404	0.0510532923347019
77	0.957960819112911	0.0840783617741779	0.0420391808870889
78	0.947583390965282	0.104833218069437	0.0524166090347184
79	0.94840290232745	0.103194195345101	0.0515970976725505
80	0.950766163884776	0.0984676722304473	0.0492338361152236
81	0.939428674569722	0.121142650860555	0.0605713254302776
82	0.92744380569914	0.145112388601721	0.0725561943008605
83	0.916189002375024	0.167621995249952	0.0838109976249762
84	0.919329479812896	0.161341040374207	0.0806705201871037
85	0.901600633662697	0.196798732674607	0.0983993663373034
86	0.8805438394338	0.2389123211324	0.1194561605662
87	0.862418896357844	0.275162207284311	0.137581103642156
88	0.838498991155909	0.323002017688183	0.161501008844091
89	0.809096022410157	0.381807955179687	0.190903977589843
90	0.872917291308629	0.254165417382741	0.12708270869137
91	0.894042944181971	0.211914111636057	0.105957055818029
92	0.8714347615077	0.257130476984601	0.1285652384923
93	0.846978011931575	0.30604397613685	0.153021988068425
94	0.822097009638162	0.355805980723676	0.177902990361838
95	0.825815610982895	0.348368778034211	0.174184389017105
96	0.794269332245263	0.411461335509474	0.205730667754737
97	0.771178244385426	0.457643511229148	0.228821755614574
98	0.756549485671566	0.486901028656868	0.243450514328434
99	0.78393812792399	0.432123744152021	0.21606187207601
100	0.748567291352088	0.502865417295823	0.251432708647912
101	0.729781214291831	0.540437571416337	0.270218785708169
102	0.689346263442399	0.621307473115202	0.310653736557601
103	0.665208676578133	0.669582646843734	0.334791323421867
104	0.746008785525063	0.507982428949874	0.253991214474937
105	0.757464977510959	0.485070044978082	0.242535022489041
106	0.772516034500624	0.454967930998752	0.227483965499376
107	0.737336947243044	0.525326105513912	0.262663052756956
108	0.777439239414181	0.445121521171638	0.222560760585819
109	0.815287488412674	0.369425023174652	0.184712511587326
110	0.787788775777329	0.424422448445343	0.212211224222671
111	0.776836170890895	0.446327658218209	0.223163829109105
112	0.776106354893942	0.447787290212115	0.223893645106058
113	0.776521235269891	0.446957529460217	0.223478764730109
114	0.760545214750725	0.47890957049855	0.239454785249275
115	0.823885516482904	0.352228967034192	0.176114483517096
116	0.799437500567883	0.401124998864233	0.200562499432117
117	0.77471243208681	0.45057513582638	0.22528756791319
118	0.734322363416683	0.531355273166635	0.265677636583317
119	0.728966577861891	0.542066844276218	0.271033422138109
120	0.68988103871876	0.62023792256248	0.31011896128124
121	0.653947671115595	0.69210465776881	0.346052328884405
122	0.60110893431323	0.797782131373541	0.39889106568677
123	0.547872024084203	0.904255951831593	0.452127975915797
124	0.508090485992228	0.983819028015544	0.491909514007772
125	0.451146624465606	0.902293248931213	0.548853375534394
126	0.453859346578611	0.907718693157222	0.546140653421389
127	0.409089088255226	0.818178176510453	0.590910911744774
128	0.387920693125888	0.775841386251776	0.612079306874112
129	0.552997546540924	0.894004906918151	0.447002453459076
130	0.497031446897759	0.994062893795517	0.502968553102241
131	0.473738197412211	0.947476394824422	0.526261802587789
132	0.448408454124015	0.89681690824803	0.551591545875985
133	0.390137992733306	0.780275985466612	0.609862007266694
134	0.393842825586749	0.787685651173498	0.606157174413251
135	0.369230939184981	0.738461878369963	0.630769060815019
136	0.380954157382167	0.761908314764335	0.619045842617833
137	0.35853846484638	0.71707692969276	0.64146153515362
138	0.331757175414461	0.663514350828922	0.668242824585539
139	0.302911846426355	0.60582369285271	0.697088153573645
140	0.241481062259064	0.482962124518127	0.758518937740936
141	0.213322609479598	0.426645218959196	0.786677390520402
142	0.165781273259805	0.33156254651961	0.834218726740195
143	0.308761720008372	0.617523440016744	0.691238279991628
144	0.252895474282434	0.505790948564869	0.747104525717566
145	0.277966118429018	0.555932236858037	0.722033881570981
146	0.209484991031352	0.418969982062705	0.790515008968648
147	0.327972068948938	0.655944137897877	0.672027931051062
148	0.494550023484137	0.989100046968274	0.505449976515863
149	0.426335943241992	0.852671886483983	0.573664056758008
150	0.303004313616775	0.60600862723355	0.696995686383225
151	0.24510368180401	0.49020736360802	0.75489631819599

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	5	0.0354609929078014	NOK
5% type I error level	24	0.170212765957447	NOK
10% type I error level	47	0.333333333333333	NOK