Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.76026176710084 + 0.107709501362639Connected[t] -0.0281633972582685Separate[t] + 0.580005731309102Software[t] + 0.0686845771588498Happiness[t] -0.0885767852871986Depression[t] + 0.00157183286835583Belonging[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)	5.76026176710084	2.757791	2.0887	0.038611	0.019305
Connected	0.107709501362639	0.049482	2.1767	0.031238	0.015619
Separate	-0.0281633972582685	0.046263	-0.6088	0.543706	0.271853
Software	0.580005731309102	0.073399	7.9021	0	0
Happiness	0.0686845771588498	0.084553	0.8123	0.418035	0.209017
Depression	-0.0885767852871986	0.061553	-1.439	0.152459	0.076229
Belonging	0.00157183286835583	0.015387	0.1022	0.918785	0.459393

Multiple Linear Regression - Regression Statistics
Multiple R	0.62502737778305
R-squared	0.390659222978356
Adjusted R-squared	0.363577410666283
F-TEST (value)	14.4251506685245
F-TEST (DF numerator)	6
F-TEST (DF denominator)	135
p-value	1.14308562615406e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.81425492296871
Sum Squared Residuals	444.355324944685

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	16	15.3776626067429	0.622337393257072
2	16	14.8085997598203	1.19140024017969
3	19	16.4143393631166	2.58566063688339
4	16	14.6993664413595	1.30063355864052
5	17	14.6082259899809	2.39177401001905
6	17	16.7619138740361	0.238086125963903
7	16	14.6962101195849	1.30378988041508
8	15	16.1340986206719	-1.13409862067189
9	16	15.258148605348	0.741851394651991
10	14	14.0023949591923	-0.00239495919232862
11	15	15.6982587582456	-0.698258758245628
12	12	12.0563621407486	-0.056362140748597
13	14	15.0659754080849	-1.0659754080849
14	16	15.5283658707493	0.471634129250696
15	14	15.4639531751404	-1.46395317514038
16	7	12.8395529062434	-5.83955290624341
17	10	10.4364573388577	-0.436457338857749
18	14	15.7474278499318	-1.74742784993183
19	16	14.2121585615256	1.78784143847443
20	16	14.516347636471	1.48365236352903
21	16	14.9937351404012	1.0062648595988
22	14	15.4298271852644	-1.42982718526443
23	20	18.1272980033883	1.87270199661172
24	14	14.0666347594013	-0.0666347594012815
25	14	14.8230317644042	-0.823031764404186
26	11	15.4307799642503	-4.43077996425027
27	14	16.6301715590681	-2.63017155906806
28	15	14.9109943340372	0.0890056659628334
29	16	14.9029594293926	1.09704057060744
30	14	15.9485052123583	-1.9485052123583
31	16	16.5831943014097	-0.583194301409741
32	14	13.9889430944312	0.0110569055687925
33	12	14.4978161611758	-2.49781616117584
34	16	15.5738437943582	0.426156205641835
35	9	11.1546615134396	-2.15466151343963
36	14	12.4111255250399	1.5888744749601
37	16	16.0272162472382	-0.0272162472381986
38	16	15.2247409675233	0.775259032476736
39	15	15.1648849330451	-0.164884933045123
40	16	13.9781875684862	2.02181243151378
41	12	11.1242598574619	0.875740142538112
42	16	15.8067452982913	0.193254701708723
43	16	16.370386203883	-0.370386203882957
44	14	14.296844845061	-0.296844845060991
45	16	15.4730376976738	0.526962302326156
46	17	15.8663708861534	1.13362911384663
47	18	16.1256311186203	1.87436888137967
48	18	14.4872354282567	3.51276457174333
49	12	15.7722611249778	-3.77226112497782
50	16	15.346767523225	0.65323247677499
51	10	13.3947850417264	-3.39478504172642
52	14	14.2642906880534	-0.264290688053398
53	18	16.4501814696715	1.54981853032849
54	18	17.0715610420469	0.928438957953148
55	16	15.6726306890143	0.32736931098571
56	17	13.6030846191955	3.39691538080449
57	16	16.3697100297326	-0.369710029732644
58	16	14.4249331639236	1.57506683607642
59	13	14.8629328454702	-1.86293284547019
60	16	16.1257577776259	-0.125757777625929
61	16	15.4409606023032	0.559039397696845
62	20	15.8957133651338	4.10428663486621
63	16	15.7927951153977	0.207204884602285
64	15	15.92696559419	-0.926965594190032
65	15	14.7099925487823	0.290007451217738
66	16	14.1727843125063	1.82721568749367
67	14	13.9715598213664	0.0284401786335832
68	16	15.3243077056901	0.675692294309915
69	16	14.5918040687103	1.40819593128972
70	15	13.9874830428328	1.01251695716723
71	12	13.4363089921837	-1.43630899218374
72	17	17.0857877721761	-0.0857877721760632
73	16	15.335265382426	0.664734617574019
74	15	15.1402820593041	-0.140282059304088
75	13	15.1318824442401	-2.13188244424007
76	16	14.997462557888	1.00253744211201
77	16	15.815311749725	0.184688250275019
78	16	13.9869229873653	2.01307701263474
79	16	16.0686382223247	-0.0686382223246587
80	14	14.2571009250044	-0.257100925004443
81	16	17.3607500127344	-1.36075001273438
82	16	14.6615876185802	1.3384123814198
83	20	17.4654816921419	2.5345183078581
84	15	14.6833804117735	0.316619588226463
85	16	14.3335807527833	1.66641924721675
86	13	15.1695687940721	-2.1695687940721
87	17	16.0716405849284	0.9283594150716
88	16	15.7626878320466	0.237312167953379
89	16	14.4752209236883	1.5247790763117
90	12	11.9022549966508	0.0977450033491526
91	16	14.9131440354752	1.08685596452475
92	16	15.8331386398449	0.166861360155085
93	17	14.4892057248376	2.51079427516243
94	13	14.350298695496	-1.35029869549599
95	12	14.8808753872363	-2.88087538723633
96	18	16.7327221206204	1.26727787937957
97	14	15.5346019898498	-1.53460198984984
98	14	12.8560089458479	1.14399105415214
99	13	14.9818689329843	-1.98186893298431
100	16	15.5738065523606	0.426193447639381
101	13	14.2331347794015	-1.23313477940154
102	16	15.7198874745859	0.280112525414117
103	13	15.9107362460251	-2.9107362460251
104	16	17.2364981331119	-1.23649813311191
105	15	16.1523523226935	-1.15235232269346
106	16	16.9126798309623	-0.91267983096229
107	15	15.4602494086251	-0.460249408625067
108	17	16.1793559694714	0.820644030528606
109	15	13.978825382748	1.02117461725204
110	12	14.9727076648412	-2.97270766484125
111	16	14.1077860128326	1.89221398716743
112	10	13.2053285953874	-3.20532859538742
113	16	13.9321739088974	2.06782609110256
114	12	14.0073654450621	-2.00736544506206
115	14	15.7190358636082	-1.7190358636082
116	15	15.3380646016507	-0.338064601650717
117	13	12.1797279093877	0.820272090612265
118	15	14.6372635107008	0.362736489299179
119	11	13.229065976075	-2.22906597607501
120	12	13.3691059812832	-1.36910598128322
121	8	13.2720235346204	-5.27202353462038
122	16	13.1188359337989	2.88116406620105
123	15	13.2449550844435	1.7550449155565
124	17	16.7397541570333	0.260245842966744
125	16	14.9199395816024	1.08006041839764
126	10	14.100124078739	-4.10012407873897
127	18	16.1421197008406	1.85788029915938
128	13	15.2823324026825	-2.28233240268251
129	16	15.2617270242819	0.738272975718114
130	13	12.8988632576734	0.101136742326622
131	10	12.9845280498778	-2.98452804987782
132	15	16.2933585825768	-1.29335858257685
133	16	13.9855896000083	2.01441039999165
134	16	11.7862216785568	4.21377832144323
135	14	12.2562434003743	1.74375659962568
136	10	12.5027761791616	-2.50277617916164
137	17	17.0857877721761	-0.0857877721760632
138	13	11.4749200541236	1.52507994587637
139	15	13.978825382748	1.02117461725204
140	16	15.1289615419882	0.871038458011757
141	12	12.2231595088172	-0.223159508817216
142	13	12.6326757689921	0.367324231007866

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.0972032675810543	0.194406535162109	0.902796732418946
11	0.0767269936047525	0.153453987209505	0.923273006395247
12	0.0498035334607864	0.0996070669215729	0.950196466539214
13	0.243852921037241	0.487705842074482	0.756147078962759
14	0.154774174861596	0.309548349723192	0.845225825138404
15	0.1295550100858	0.259110020171601	0.8704449899142
16	0.751928442252573	0.496143115494853	0.248071557747427
17	0.671746883698917	0.656506232602167	0.328253116301083
18	0.722867574858781	0.554264850282439	0.27713242514122
19	0.804619233561007	0.390761532877987	0.195380766438993
20	0.798515300236614	0.402969399526772	0.201484699763386
21	0.756025968285397	0.487948063429207	0.243974031714603
22	0.752185976045044	0.495628047909912	0.247814023954956
23	0.706780035481082	0.586439929037835	0.293219964518918
24	0.645867649402324	0.708264701195353	0.354132350597676
25	0.590879254280906	0.818241491438187	0.409120745719094
26	0.86416544744698	0.271669105106039	0.13583455255302
27	0.894827235693404	0.210345528613193	0.105172764306596
28	0.863556517587702	0.272886964824595	0.136443482412298
29	0.831170211580765	0.337659576838469	0.168829788419235
30	0.829155699358559	0.341688601282882	0.170844300641441
31	0.787195494107032	0.425609011785937	0.212804505892968
32	0.738703459757115	0.52259308048577	0.261296540242885
33	0.768839054212808	0.462321891574385	0.231160945787192
34	0.728111119605128	0.543777760789744	0.271888880394872
35	0.710316075403185	0.579367849193629	0.289683924596815
36	0.698530880603105	0.60293823879379	0.301469119396895
37	0.652468910811014	0.695062178377972	0.347531089188986
38	0.625683560846733	0.748632878306533	0.374316439153267
39	0.573580535701494	0.852838928597012	0.426419464298506
40	0.596845396257392	0.806309207485216	0.403154603742608
41	0.562069773653836	0.875860452692328	0.437930226346164
42	0.506824419123202	0.986351161753596	0.493175580876798
43	0.45359405547531	0.907188110950621	0.54640594452469
44	0.400434454538937	0.800868909077875	0.599565545461063
45	0.349162737107148	0.698325474214296	0.650837262892852
46	0.338596688599815	0.67719337719963	0.661403311400185
47	0.327678489315127	0.655356978630254	0.672321510684873
48	0.469211098849373	0.938422197698747	0.530788901150627
49	0.60924024755581	0.78151950488838	0.39075975244419
50	0.565764314285536	0.868471371428928	0.434235685714464
51	0.647295084778963	0.705409830442075	0.352704915221037
52	0.598431527946788	0.803136944106425	0.401568472053212
53	0.583838050641474	0.832323898717052	0.416161949358526
54	0.555708829457359	0.888582341085282	0.444291170542641
55	0.507710571789916	0.984578856420168	0.492289428210084
56	0.597974848958225	0.804050302083551	0.402025151041775
57	0.551535984569361	0.896928030861278	0.448464015430639
58	0.52644439044471	0.94711121911058	0.47355560955529
59	0.547696543747975	0.90460691250405	0.452303456252025
60	0.497965122513777	0.995930245027555	0.502034877486223
61	0.453081371187279	0.906162742374557	0.546918628812721
62	0.669752127410838	0.660495745178323	0.330247872589161
63	0.625729085336128	0.748541829327744	0.374270914663872
64	0.593714718310279	0.812570563379443	0.406285281689721
65	0.546091961100659	0.907816077798683	0.453908038899341
66	0.544875790360786	0.910248419278428	0.455124209639214
67	0.496828927037279	0.993657854074558	0.503171072962721
68	0.453723746195734	0.907447492391469	0.546276253804266
69	0.431190057962193	0.862380115924386	0.568809942037807
70	0.394671336172959	0.789342672345917	0.605328663827041
71	0.371539630829566	0.743079261659133	0.628460369170434
72	0.343769173994005	0.687538347988011	0.656230826005995
73	0.307912576855443	0.615825153710886	0.692087423144557
74	0.269003170148956	0.538006340297912	0.730996829851044
75	0.281568311832562	0.563136623665124	0.718431688167438
76	0.254475807596802	0.508951615193604	0.745524192403198
77	0.220200036877078	0.440400073754155	0.779799963122922
78	0.22965506154671	0.459310123093421	0.77034493845329
79	0.193857026474179	0.387714052948358	0.806142973525821
80	0.163073880992137	0.326147761984274	0.836926119007863
81	0.148057879759688	0.296115759519376	0.851942120240312
82	0.136417051880395	0.272834103760791	0.863582948119604
83	0.171027360209113	0.342054720418226	0.828972639790887
84	0.141635789143616	0.283271578287232	0.858364210856384
85	0.139896207665897	0.279792415331793	0.860103792334103
86	0.153784143435037	0.307568286870074	0.846215856564963
87	0.1360093274932	0.272018654986401	0.8639906725068
88	0.118106579919973	0.236213159839946	0.881893420080027
89	0.114803763446073	0.229607526892146	0.885196236553927
90	0.104125210416403	0.208250420832805	0.895874789583597
91	0.0906219223183687	0.181243844636737	0.909378077681631
92	0.0733083503573128	0.146616700714626	0.926691649642687
93	0.0934342816499063	0.186868563299813	0.906565718350094
94	0.0799955309629928	0.159991061925986	0.920004469037007
95	0.106266557698962	0.212533115397924	0.893733442301038
96	0.0989249539193446	0.197849907838689	0.901075046080655
97	0.0850772905953701	0.17015458119074	0.91492270940463
98	0.0739359209280462	0.147871841856092	0.926064079071954
99	0.0766638457255692	0.153327691451138	0.923336154274431
100	0.070793456026381	0.141586912052762	0.929206543973619
101	0.0582953138218033	0.116590627643607	0.941704686178197
102	0.0455776122278101	0.0911552244556201	0.95442238777219
103	0.0531791582438711	0.106358316487742	0.946820841756129
104	0.0425100439798553	0.0850200879597106	0.957489956020145
105	0.0343302465467048	0.0686604930934095	0.965669753453295
106	0.0258826452013151	0.0517652904026303	0.974117354798685
107	0.0189933341007609	0.0379866682015219	0.981006665899239
108	0.0154428798309102	0.0308857596618203	0.98455712016909
109	0.0118606578341664	0.0237213156683327	0.988139342165834
110	0.0171053117954617	0.0342106235909234	0.982894688204538
111	0.0151462748006102	0.0302925496012204	0.98485372519939
112	0.0235573062747491	0.0471146125494982	0.976442693725251
113	0.0273951198374265	0.054790239674853	0.972604880162574
114	0.0356402585091456	0.0712805170182911	0.964359741490854
115	0.0283703846962132	0.0567407693924264	0.971629615303787
116	0.0194232940973151	0.0388465881946302	0.980576705902685
117	0.0130839013668119	0.0261678027336238	0.986916098633188
118	0.00853000589721982	0.0170600117944396	0.99146999410278
119	0.0159656074230847	0.0319312148461694	0.984034392576915
120	0.0136066383034323	0.0272132766068647	0.986393361696568
121	0.476454270711016	0.952908541422032	0.523545729288984
122	0.425120828101284	0.850241656202568	0.574879171898716
123	0.365955990148136	0.731911980296273	0.634044009851864
124	0.310529903761907	0.621059807523814	0.689470096238093
125	0.256831467518438	0.513662935036877	0.743168532481562
126	0.261580422696956	0.523160845393912	0.738419577303044
127	0.289369136067982	0.578738272135964	0.710630863932018
128	0.770310123230113	0.459379753539773	0.229689876769886
129	0.710530999551722	0.578938000896556	0.289469000448278
130	0.588654005084229	0.822691989831543	0.411345994915771
131	0.834059599983414	0.331880800033172	0.165940400016586
132	0.837210430467509	0.325579139064983	0.162789569532491

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	11	0.0894308943089431	NOK
10% type I error level	19	0.154471544715447	NOK