Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 12.8461518525374 + 0.0143384575733923Connected[t] + 0.0718533302727543Separate[t] + 0.0695934569197246Learning[t] -0.0459177709224598Software[t] -0.355985031666435Depression[t] + 0.0326855604193598Belonging[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)	12.8461518525374	2.553292	5.0312	1e-06	1e-06
Connected	0.0143384575733923	0.050181	0.2857	0.775464	0.387732
Separate	0.0718533302727543	0.046605	1.5418	0.125173	0.062586
Learning	0.0695934569197246	0.084298	0.8256	0.410317	0.205159
Software	-0.0459177709224598	0.0857	-0.5358	0.592866	0.296433
Depression	-0.355985031666435	0.051724	-6.8823	0	0
Belonging	0.0326855604193598	0.014913	2.1917	0.029891	0.014945

Multiple Linear Regression - Regression Statistics
Multiple R	0.578049037967349
R-squared	0.334140690294978
Adjusted R-squared	0.308365491209622
F-TEST (value)	12.9636511899852
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	7.52042872420589e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.9440699307164
Sum Squared Residuals	585.80822380493

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.9786711745269	0.0213288254730885
2	18	15.2081809449305	2.79181905506949
3	11	13.5981378012711	-2.59813780127107
4	12	14.3483113326744	-2.34831133267443
5	16	11.378026931885	4.621973068115
6	18	14.1549350089606	3.84506499103935
7	14	10.3047313723248	3.69526862767519
8	14	15.0204418459513	-1.0204418459513
9	15	15.1593791849008	-0.159379184900801
10	15	14.7317937415864	0.268206258413645
11	17	15.2950930367377	1.70490696326226
12	19	15.2849716234132	3.71502837658683
13	10	13.3185189326193	-3.31851893261934
14	16	13.5254078981482	2.47459210185179
15	18	15.7560098161696	2.2439901838304
16	14	13.081003057606	0.918996942394048
17	14	13.7139936266008	0.286006373399196
18	17	15.9227896465888	1.0772103534112
19	14	15.415390542847	-1.415390542847
20	16	13.4020426555	2.5979573445
21	18	15.9498939904681	2.05010600953194
22	11	13.3194070006004	-2.31940700060037
23	14	14.3543227903953	-0.354322790395339
24	12	13.6339554341129	-1.6339554341129
25	17	15.3696099436952	1.63039005630485
26	9	15.7304724759688	-6.73047247596881
27	16	15.0997877297575	0.900212270242545
28	14	13.294475427372	0.705524572628035
29	15	13.8186461804863	1.18135381951373
30	11	13.7820771331186	-2.7820771331186
31	16	15.2064054362269	0.793594563773123
32	13	12.425620879053	0.574379120946972
33	17	14.88008318197	2.11991681802998
34	15	15.3844664166661	-0.384466416666138
35	14	13.7034805233909	0.296519476609059
36	16	15.3146667323107	0.68533326768926
37	9	10.8493379773746	-1.84933797737459
38	15	14.2056457797643	0.794354220235656
39	17	15.0679902373191	1.93200976268087
40	13	15.0689287203695	-2.06892872036947
41	15	15.5451651390067	-0.545165139006734
42	16	13.5957410429621	2.40425895703787
43	16	15.310562392926	0.689437607074036
44	12	12.9501471527352	-0.950147152735165
45	12	14.25750549622	-2.25750549621999
46	11	13.7008688141996	-2.70086881419956
47	15	15.4913666381083	-0.491366638108339
48	15	14.836722238503	0.16327776149702
49	17	13.7801187021488	3.2198812978512
50	13	14.6491966379822	-1.64919663798225
51	16	15.2995655965813	0.700434403418695
52	14	13.1818551954871	0.818144804512877
53	11	11.6117103622778	-0.611710362277839
54	12	13.6233645517912	-1.62336455179121
55	12	14.1443962793682	-2.14439627936817
56	15	14.5870653346965	0.41293466530346
57	16	14.2017730461884	1.79822695381163
58	15	15.2535296741847	-0.253529674184666
59	12	15.3283966401698	-3.32839664016977
60	12	13.3935424527294	-1.39354245272941
61	8	10.4145299828531	-2.41452998285311
62	13	14.6414763015395	-1.64147630153949
63	11	14.5641402596738	-3.56414025967376
64	14	12.9905822120646	1.00941778793535
65	15	13.2608095591159	1.73919044088405
66	10	15.2917383185594	-5.29173831855936
67	11	12.5925377657149	-1.59253776571486
68	12	14.0781577721275	-2.07815777212754
69	15	13.994978035533	1.00502196446696
70	15	13.8405663729498	1.15943362705017
71	14	13.8684526683965	0.131547331603542
72	16	12.9155282920552	3.08447170794481
73	15	14.7654977046152	0.234502295384773
74	15	15.6422865654213	-0.642286565421291
75	13	14.6659331139386	-1.66593311393859
76	12	12.181909667302	-0.181909667302006
77	17	14.2119961092599	2.78800389074005
78	13	12.3730706096631	0.626929390336934
79	15	13.7177663325617	1.2822336674383
80	13	14.4403517374108	-1.44035173741085
81	15	15.1348468267232	-0.134846826723192
82	16	14.368673716359	1.63132628364103
83	15	15.6858626521207	-0.685862652120722
84	16	14.3549488150962	1.64505118490382
85	15	14.3683420680051	0.631657931994927
86	14	14.0900745330328	-0.0900745330327514
87	15	14.577953199326	0.422046800673962
88	14	14.3082995303177	-0.308299530317651
89	13	12.5490005381889	0.450999461811128
90	7	10.6396879868802	-3.63968798688019
91	17	14.0574659708159	2.94253402918414
92	13	12.581209885355	0.418790114645037
93	15	14.7454492090622	0.254550790937841
94	14	13.1502048246404	0.849795175359619
95	13	14.8262632361197	-1.82626323611972
96	16	15.3453986744278	0.654601325572175
97	12	12.9676487932958	-0.967648793295776
98	14	14.9093248428542	-0.909324842854225
99	17	15.11386511731	1.88613488269003
100	15	15.3310853475636	-0.331085347563625
101	17	15.3726319231536	1.62736807684641
102	12	13.1902265768181	-1.19022657681813
103	16	15.2304643754774	0.769535624522634
104	11	14.0970937555188	-3.09709375551882
105	15	13.6163994301317	1.38360056986826
106	9	11.5316009199423	-2.53160091994231
107	16	15.106222559979	0.893777440020956
108	15	13.4237048364415	1.57629516355846
109	10	12.9108475029433	-2.91084750294334
110	10	9.95413750552452	0.0458624944754825
111	15	13.9782263797163	1.02177362028372
112	11	13.2114064501507	-2.21140645015069
113	13	15.88945629213	-2.88945629212999
114	14	11.9780376746353	2.02196232536467
115	18	14.4079139977128	3.59208600228724
116	16	15.5828404334447	0.417159566555314
117	14	13.352061357569	0.647938642430999
118	14	14.4749426681309	-0.474942668130884
119	14	15.285245355753	-1.285245355753
120	14	14.1421401525374	-0.142140152537373
121	12	12.8027584200095	-0.802758420009498
122	14	13.2475603919418	0.752439608058224
123	15	15.5401743388428	-0.54017433884284
124	15	16.2139701894586	-1.21397018945857
125	15	14.4639555850011	0.536044414998923
126	13	14.7528566079908	-1.75285660799077
127	17	16.38320259561	0.616797404390015
128	17	15.8161983082606	1.18380169173941
129	19	15.2683778034096	3.73162219659043
130	15	13.7747387080269	1.22526129197311
131	13	14.7352994368216	-1.73529943682158
132	9	10.7753206767197	-1.77532067671974
133	15	15.7813543545272	-0.781354354527247
134	15	12.5037020703531	2.4962979296469
135	15	14.6773075699596	0.322692430040413
136	16	13.5780431865796	2.42195681342043
137	11	8.89722146656466	2.10277853343534
138	14	13.4627322063175	0.537267793682496
139	11	12.1667822121604	-1.16678221216039
140	15	14.434830931045	0.565169068954988
141	13	13.9324816028532	-0.932481602853203
142	15	14.6993188134766	0.30068118652343
143	16	14.1117573564027	1.88824264359734
144	14	14.8246321591517	-0.82463215915169
145	15	13.7966382364479	1.20336176355209
146	16	14.9689153247383	1.03108467526174
147	16	14.1130558266875	1.88694417331251
148	11	13.6360861173835	-2.63608611738349
149	12	14.6304994761086	-2.63049947610859
150	9	11.7610897469395	-2.76108974693953
151	16	15.0742555493521	0.925744450647908
152	13	13.0843248573157	-0.0843248573156846
153	16	15.8811308375875	0.118869162412537
154	12	15.069806403621	-3.06980640362104
155	9	11.8895653936498	-2.88956539364978
156	13	12.0171097354465	0.98289026455349
157	13	12.581209885355	0.418790114645037
158	14	13.8642772550052	0.135722744994763
159	19	15.2683778034096	3.73162219659043
160	13	15.7830875995577	-2.78308759955769
161	12	12.6254848753197	-0.625484875319742
162	13	13.0172952347015	-0.0172952347014784

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.05917471054192	0.11834942108384	0.94082528945808
11	0.0189493882760633	0.0378987765521266	0.981050611723937
12	0.885614107242839	0.228771785514322	0.114385892757161
13	0.983365550624991	0.0332688987500187	0.0166344493750093
14	0.983840336686769	0.032319326626462	0.016159663313231
15	0.989058124433704	0.0218837511325915	0.0109418755662957
16	0.981025562335709	0.0379488753285823	0.0189744376642911
17	0.974188511177704	0.0516229776445919	0.025811488822296
18	0.962118491798873	0.0757630164022547	0.0378815082011274
19	0.949557894098201	0.100884211803599	0.0504421059017993
20	0.949667988922653	0.100664022154693	0.0503320110773467
21	0.948976151659523	0.102047696680954	0.051023848340477
22	0.970132238701748	0.0597355225965035	0.0298677612982517
23	0.956842109561879	0.0863157808762421	0.043157890438121
24	0.946843949806785	0.10631210038643	0.0531560501932152
25	0.929212362986213	0.141575274027574	0.0707876370137872
26	0.999544778448902	0.000910443102196397	0.000455221551098198
27	0.999260377164895	0.00147924567021059	0.000739622835105293
28	0.998786043929911	0.00242791214017799	0.001213956070089
29	0.998122111891053	0.00375577621789443	0.00187788810894722
30	0.999105581401824	0.00178883719635275	0.000894418598176377
31	0.998579606874657	0.00284078625068578	0.00142039312534289
32	0.997803833320731	0.00439233335853827	0.00219616667926914
33	0.9974327537186	0.0051344925627993	0.00256724628139965
34	0.996107682652311	0.00778463469537745	0.00389231734768872
35	0.99446673200009	0.0110665359998208	0.00553326799991039
36	0.991938873293342	0.0161222534133162	0.00806112670665812
37	0.994074692076894	0.0118506158462119	0.00592530792310593
38	0.991568190260877	0.0168636194782461	0.00843180973912306
39	0.990883386396634	0.0182332272067322	0.00911661360336611
40	0.991050681442169	0.0178986371156629	0.00894931855783146
41	0.987708137964255	0.0245837240714906	0.0122918620357453
42	0.987350859012861	0.0252982819742788	0.0126491409871394
43	0.982943108877765	0.0341137822444704	0.0170568911222352
44	0.978816922733389	0.0423661545332222	0.0211830772666111
45	0.98233644348937	0.0353271130212607	0.0176635565106303
46	0.987029026786288	0.0259419464274232	0.0129709732137116
47	0.98230366596624	0.035392668067521	0.0176963340337605
48	0.976020869978239	0.0479582600435212	0.0239791300217606
49	0.983287296164222	0.033425407671556	0.016712703835778
50	0.981798522353847	0.0364029552923052	0.0182014776461526
51	0.976040872881551	0.0479182542368977	0.0239591271184488
52	0.969026010481427	0.0619479790371465	0.0309739895185732
53	0.961822996172128	0.0763540076557446	0.0381770038278723
54	0.959249464300281	0.081501071399438	0.040750535699719
55	0.959250533877178	0.0814989322456437	0.0407494661228219
56	0.947792299240081	0.104415401519837	0.0522077007599186
57	0.943658141576796	0.112683716846409	0.0563418584232043
58	0.928900680087201	0.142198639825599	0.0710993199127994
59	0.953137931687765	0.0937241366244707	0.0468620683122354
60	0.94884036006284	0.10231927987432	0.05115963993716
61	0.956110125840242	0.087779748319515	0.0438898741597575
62	0.953769820528623	0.0924603589427546	0.0462301794713773
63	0.975625387835518	0.048749224328963	0.0243746121644815
64	0.970428572835969	0.0591428543280627	0.0295714271640313
65	0.9680418694307	0.0639162611386004	0.0319581305693002
66	0.994899284803396	0.0102014303932084	0.0051007151966042
67	0.99436101740363	0.0112779651927391	0.00563898259636954
68	0.994821328489121	0.0103573430217582	0.00517867151087911
69	0.993405060012801	0.0131898799743976	0.0065949399871988
70	0.991862316724352	0.0162753665512955	0.00813768327564775
71	0.988904820478037	0.0221903590439251	0.0110951795219626
72	0.993018535932671	0.0139629281346581	0.00698146406732903
73	0.990490907896689	0.0190181842066214	0.00950909210331072
74	0.987417575065509	0.0251648498689813	0.0125824249344906
75	0.986577017308271	0.0268459653834572	0.0134229826917286
76	0.982066629311805	0.0358667413763891	0.0179333706881945
77	0.986903599346735	0.0261928013065304	0.0130964006532652
78	0.982983793653627	0.0340324126927453	0.0170162063463727
79	0.97997049784302	0.0400590043139606	0.0200295021569803
80	0.978845018504722	0.0423099629905556	0.0211549814952778
81	0.972154770557049	0.0556904588859019	0.0278452294429509
82	0.970098379846138	0.0598032403077233	0.0299016201538616
83	0.962359268805781	0.0752814623884386	0.0376407311942193
84	0.959049174268272	0.0819016514634558	0.0409508257317279
85	0.948970646167453	0.102058707665094	0.0510293538325468
86	0.935481780823295	0.129036438353411	0.0645182191767053
87	0.920024605317307	0.159950789365386	0.0799753946826932
88	0.901379853615288	0.197240292769423	0.0986201463847116
89	0.882392041156448	0.235215917687104	0.117607958843552
90	0.927071205226431	0.145857589547139	0.0729287947735693
91	0.946734074436636	0.106531851126728	0.0532659255633639
92	0.933945835641339	0.132108328717323	0.0660541643586614
93	0.918918815162348	0.162162369675304	0.0810811848376521
94	0.902945651235719	0.194108697528562	0.0970543487642808
95	0.902504335607362	0.194991328785277	0.0974956643926384
96	0.882337499045829	0.235325001908342	0.117662500954171
97	0.861961622439017	0.276076755121965	0.138038377560983
98	0.843232998034367	0.313534003931266	0.156767001965633
99	0.8398511748947	0.3202976502106	0.1601488251053
100	0.809296017949825	0.38140796410035	0.190703982050175
101	0.80220613408197	0.395587731836059	0.19779386591803
102	0.778629731948147	0.442740536103707	0.221370268051853
103	0.753093539967388	0.493812920065224	0.246906460032612
104	0.823912894318876	0.352174211362249	0.176087105681124
105	0.825723193387032	0.348553613225937	0.174276806612968
106	0.856469886226443	0.287060227547115	0.143530113773557
107	0.832920327531631	0.334159344936738	0.167079672468369
108	0.837865113047222	0.324269773905555	0.162134886952778
109	0.870844617619164	0.258310764761673	0.129155382380836
110	0.847439353899696	0.305121292200608	0.152560646100304
111	0.834950514143528	0.330098971712944	0.165049485856472
112	0.832411939044963	0.335176121910074	0.167588060955037
113	0.844237453706942	0.311525092586116	0.155762546293058
114	0.852593150670449	0.294813698659102	0.147406849329551
115	0.912702763504305	0.174594472991389	0.0872972364956947
116	0.889673111668877	0.220653776662246	0.110326888331123
117	0.889324708062677	0.221350583874646	0.110675291937323
118	0.862549435075441	0.274901129849117	0.137450564924559
119	0.844099549884505	0.311800900230991	0.155900450115495
120	0.808248419289546	0.383503161420907	0.191751580710454
121	0.770437296370792	0.459125407258417	0.229562703629208
122	0.728044660890786	0.543910678218428	0.271955339109214
123	0.679729935571707	0.640540128856587	0.320270064428293
124	0.63694829747526	0.72610340504948	0.36305170252474
125	0.582645637194393	0.834708725611215	0.417354362805607
126	0.579487019353635	0.84102596129273	0.420512980646365
127	0.525779545852137	0.948440908295726	0.474220454147863
128	0.51985527254871	0.960289454902579	0.480144727451289
129	0.674444216661205	0.651111566677591	0.325555783338795
130	0.63736073101775	0.725278537964499	0.36263926898225
131	0.632036634778668	0.735926730442665	0.367963365221332
132	0.629425277982385	0.741149444035231	0.370574722017615
133	0.568148434428387	0.863703131143225	0.431851565571613
134	0.566552183082996	0.866895633834008	0.433447816917004
135	0.519204905881119	0.961590188237763	0.480795094118881
136	0.516779969134257	0.966440061731485	0.483220030865743
137	0.510394445385467	0.979211109229066	0.489605554614533
138	0.468946172159421	0.937892344318842	0.531053827840579
139	0.399159749381719	0.798319498763439	0.600840250618281
140	0.338878032754561	0.677756065509123	0.661121967245438
141	0.29058123331671	0.58116246663342	0.70941876668329
142	0.241769198268397	0.483538396536794	0.758230801731603
143	0.233399816989409	0.466799633978818	0.766600183010591
144	0.191082840103533	0.382165680207066	0.808917159896467
145	0.152068868099272	0.304137736198544	0.847931131900728
146	0.12100000610735	0.2420000122147	0.87899999389265
147	0.207668971369917	0.415337942739835	0.792331028630083
148	0.507038529966085	0.985922940067829	0.492961470033915
149	0.551034132599658	0.897931734800683	0.448965867400342
150	0.434463649113975	0.86892729822795	0.565536350886025
151	0.353364342212748	0.706728684425497	0.646635657787252
152	0.219134376014256	0.438268752028511	0.780865623985744

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	9	0.0629370629370629	NOK
5% type I error level	47	0.328671328671329	NOK
10% type I error level	64	0.447552447552448	NOK