Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.50659192614105 + 0.114210321866415Connected[t] -0.0210540558574558Separate[t] + 0.543771350648278Software[t] + 0.0596331308591448Happiness[t] -0.071570896534173Depression[t] + 0.0365925912634606Belonging[t] -0.0535457450767283Belonging_Final[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)	5.50659192614105	2.605165	2.1137	0.036161	0.018081
Connected	0.114210321866415	0.047047	2.4276	0.016361	0.00818
Separate	-0.0210540558574558	0.045009	-0.4678	0.640615	0.320308
Software	0.543771350648278	0.069524	7.8213	0	0
Happiness	0.0596331308591448	0.076624	0.7783	0.437621	0.218811
Depression	-0.071570896534173	0.056568	-1.2652	0.20772	0.10386
Belonging	0.0365925912634606	0.044932	0.8144	0.41668	0.20834
Belonging_Final	-0.0535457450767283	0.064611	-0.8287	0.408544	0.204272

Multiple Linear Regression - Regression Statistics
Multiple R	0.594824581821767
R-squared	0.35381628313944
Adjusted R-squared	0.324252322237322
F-TEST (value)	11.9678240784746
F-TEST (DF numerator)	7
F-TEST (DF denominator)	153
p-value	3.9993564016072e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85617046327028
Sum Squared Residuals	527.141424673702

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1163737759861	-3.11637377598614
2	16	15.9707958919569	0.0292041080431209
3	19	16.1727415049847	2.8272584950153
4	15	11.7280310429992	3.2719689570008
5	14	15.4488442903231	-1.4488442903231
6	13	14.8832167750804	-1.88321677508036
7	19	15.0518938325301	3.94810616746987
8	15	16.5958455302759	-1.59584553027593
9	14	15.8836089886891	-1.88360898868913
10	15	12.4234100418645	2.57658995813555
11	16	15.1967493922839	0.803250607716097
12	16	16.197034476703	-0.197034476703035
13	16	15.3604985918413	0.639501408158673
14	16	15.3033530964417	0.696646903558294
15	17	17.3564210817084	-0.356421081708398
16	15	15.0193893414177	-0.0193893414177254
17	15	14.5499043292326	0.450095670767438
18	20	16.1269474020316	3.8730525979684
19	18	15.4079303728809	2.59206962711911
20	16	15.1946879642642	0.805312035735817
21	16	15.2401587946693	0.759841205330719
22	16	14.7059476907096	1.29405230929043
23	19	16.4147713290883	2.58522867091168
24	16	14.6743480756348	1.32565192436515
25	17	14.7700743147245	2.22992568527555
26	17	16.8878302850485	0.112169714951543
27	16	14.9644051943979	1.03559480560208
28	15	16.0395077879009	-1.03950778790094
29	16	15.4431729137219	0.556827086278057
30	14	13.9539061485681	0.0460938514319424
31	15	15.5965123650264	-0.596512365026409
32	12	12.177369228133	-0.17736922813302
33	14	15.1110728107702	-1.11107281077017
34	16	15.4255235436513	0.574476456348738
35	14	15.6467500390121	-1.6467500390121
36	7	12.8965619549108	-5.89656195491083
37	10	10.8580645613835	-0.858064561383539
38	14	15.7798890236988	-1.77988902369877
39	16	14.219715956926	1.78028404307403
40	16	14.5823720944357	1.41762790556434
41	16	15.0450096733655	0.954990326634475
42	14	15.5607843377338	-1.56078433773385
43	20	17.9199778915182	2.08002210848182
44	14	14.203384521805	-0.203384521805004
45	14	14.8990693119289	-0.899069311928865
46	11	15.5927472753193	-4.59274727531932
47	14	16.4209138249569	-2.42091382495689
48	15	14.9297366779516	0.070263322048382
49	16	15.1987244847461	0.80127551525391
50	14	16.0209472330053	-2.02094723300532
51	16	16.4911419283566	-0.491141928356606
52	14	14.1101591487578	-0.11015914875777
53	12	14.6836235739442	-2.68362357394417
54	16	15.1779577090798	0.822042290920176
55	9	11.5124533269388	-2.51245332693877
56	14	12.6213052735434	1.37869472645664
57	16	16.0922144514025	-0.0922144514024526
58	16	15.0812507844018	0.91874921559819
59	15	15.3245934103624	-0.324593410362369
60	16	14.1268772712349	1.87312272876507
61	12	11.4213780833605	0.578621916639511
62	16	15.9804534072832	0.0195465927168422
63	16	16.4708345035383	-0.470834503538308
64	14	14.367472734991	-0.367472734990999
65	16	15.4353889944351	0.564611005564872
66	17	15.9066979222	1.09330207779997
67	18	16.0995193959324	1.90048060406761
68	18	14.6785573570997	3.32144264290032
69	12	15.8785586970376	-3.8785586970376
70	16	15.418681247884	0.581318752116011
71	10	13.4389419597422	-3.43894195974223
72	14	14.3180996249762	-0.318099624976213
73	18	16.5393130368345	1.46068696316545
74	18	17.1580137676401	0.841986232359885
75	16	15.7309808208144	0.269019179185556
76	17	13.8825312875197	3.11746871248033
77	16	16.3647572467043	-0.364757246704292
78	16	14.4459534690398	1.55404653096023
79	13	14.842116231222	-1.84211623122204
80	16	16.0292535078826	-0.0292535078825983
81	16	15.5777702819388	0.422229718061173
82	20	16.7937747867028	3.20622521329717
83	16	15.6890836778516	0.31091632214841
84	15	16.0269176589512	-1.02691765895125
85	15	14.7412691759141	0.258730824085895
86	16	14.2659920083984	1.73400799160159
87	14	14.2183792587082	-0.218379258708241
88	16	15.3369314339327	0.663068566067272
89	16	14.580875274459	1.41912472554104
90	15	14.2078914546212	0.792108545378828
91	12	13.4746045073303	-1.47460450733034
92	17	17.0116615794687	-0.0116615794686995
93	16	15.4845936707891	0.51540632921089
94	15	15.2887619735731	-0.288761973573146
95	13	15.1826048106205	-2.18260481062052
96	16	15.2181694888866	0.781830511113362
97	16	15.8573944232575	0.1426055767425
98	16	14.1839214308915	1.8160785691085
99	16	16.1620796352112	-0.162079635211153
100	14	14.3378103815196	-0.337810381519647
101	16	17.3709697221063	-1.37096972210627
102	16	14.8091305968613	1.19086940313867
103	20	17.4170045550708	2.58299544492918
104	15	14.5881678267291	0.411832173270873
105	16	14.5594365359706	1.44056346402941
106	13	15.3963030224909	-2.39630302249088
107	17	16.0661855591204	0.933814440879608
108	16	15.9383327117494	0.0616672882505854
109	16	14.5945146167258	1.40548538327421
110	12	12.2952815125103	-0.295281512510332
111	16	15.0116752770122	0.988324722987829
112	16	15.8993669313378	0.100633068662198
113	17	14.5426736840992	2.45732631590085
114	13	15.0108388958843	-2.01083889588427
115	12	14.933181956999	-2.93318195699899
116	18	16.675131094183	1.32486890581697
117	14	15.5442594931066	-1.54425949310657
118	14	13.0076622226371	0.992337777362873
119	13	14.9868187170295	-1.98681871702951
120	16	15.7235119724826	0.276488027517423
121	13	14.3290418011299	-1.32904180112992
122	16	15.6984838973193	0.301516102680669
123	13	16.0232196757193	-3.02321967571931
124	16	17.1314353297215	-1.13143532972154
125	15	16.0608021093703	-1.06080210937035
126	16	16.8710138509282	-0.871013850928179
127	15	15.5142914847989	-0.514291484798904
128	17	16.3421159963374	0.657884003662637
129	15	13.8833537204204	1.1166462795796
130	12	15.0333833008366	-3.03338330083663
131	16	14.2413554148292	1.75864458517084
132	10	13.3907974754613	-3.39079747546125
133	16	14.1794887905604	1.82051120943958
134	12	13.997755941872	-1.99775594187202
135	14	15.7379696048381	-1.7379696048381
136	15	15.1908163505845	-0.190816350584511
137	13	12.3540580252306	0.645941974769403
138	15	14.5236190086443	0.476380991355701
139	11	13.2464520790505	-2.24645207905053
140	12	13.4455992363019	-1.44559923630192
141	8	13.4500552966152	-5.45005529661519
142	16	13.1834334701393	2.81656652986066
143	15	13.4060880482999	1.59391195170005
144	17	16.6376313200557	0.362368679944322
145	16	14.9345249346435	1.06547506535645
146	10	14.2510747495011	-4.25107474950109
147	18	16.0215565288957	1.97844347110435
148	13	15.2718336576412	-2.27183365764122
149	16	15.2435604817284	0.756439518271586
150	13	13.1091715921476	-0.10917159214763
151	10	13.1996005368258	-3.19960053682578
152	15	16.5261430875273	-1.52614308752733
153	16	14.1963213593489	1.80367864065106
154	16	12.0808737164072	3.91912628359275
155	14	12.5375589999608	1.46244100003922
156	10	12.5833713045284	-2.58337130452839
157	17	17.0116615794687	-0.0116615794686995
158	13	11.7002433024592	1.2997566975408
159	15	13.8833537204204	1.1166462795796
160	16	15.1715352388705	0.828464761129495
161	12	12.5984129210305	-0.5984129210305

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.38915103103447	0.77830206206894	0.61084896896553
12	0.622140027895345	0.755719944209311	0.377859972104655
13	0.483033058687975	0.966066117375949	0.516966941312025
14	0.456387389763386	0.912774779526772	0.543612610236614
15	0.34778474601244	0.695569492024881	0.65221525398756
16	0.263600614180602	0.527201228361204	0.736399385819398
17	0.214652324458725	0.42930464891745	0.785347675541275
18	0.414116625024516	0.828233250049031	0.585883374975484
19	0.337270603461472	0.674541206922944	0.662729396538528
20	0.258542228636625	0.51708445727325	0.741457771363375
21	0.199499380216165	0.398998760432329	0.800500619783835
22	0.181810432379914	0.363620864759828	0.818189567620086
23	0.364158906784293	0.728317813568586	0.635841093215707
24	0.400219056860608	0.800438113721215	0.599780943139392
25	0.389138206441952	0.778276412883903	0.610861793558048
26	0.351628403271604	0.703256806543209	0.648371596728396
27	0.410639528105119	0.821279056210237	0.589360471894881
28	0.416582671903086	0.833165343806172	0.583417328096914
29	0.397714523091248	0.795429046182496	0.602285476908752
30	0.439279806487125	0.87855961297425	0.560720193512875
31	0.381431268831136	0.762862537662272	0.618568731168864
32	0.335136233660237	0.670272467320473	0.664863766339763
33	0.3119018700612	0.6238037401224	0.6880981299388
34	0.279056086385921	0.558112172771842	0.720943913614079
35	0.238671956596021	0.477343913192041	0.761328043403979
36	0.822427491306171	0.355145017387658	0.177572508693829
37	0.795239547957124	0.409520904085752	0.204760452042876
38	0.788967979216474	0.422064041567053	0.211032020783526
39	0.810757543552253	0.378484912895494	0.189242456447747
40	0.791795061445101	0.416409877109797	0.208204938554899
41	0.758168151238891	0.483663697522218	0.241831848761109
42	0.732518815715611	0.534962368568778	0.267481184284389
43	0.757936033290382	0.484127933419236	0.242063966709618
44	0.714280355598777	0.571439288802446	0.285719644401223
45	0.685051413211918	0.629897173576164	0.314948586788082
46	0.854494660372146	0.291010679255708	0.145505339627854
47	0.903951256281477	0.192097487437047	0.0960487437185234
48	0.879926283332063	0.240147433335874	0.120073716667937
49	0.863242228087183	0.273515543825635	0.136757771912818
50	0.862182932082898	0.275634135834204	0.137817067917102
51	0.832815588659683	0.334368822680635	0.167184411340317
52	0.799168662801659	0.401662674396682	0.200831337198341
53	0.816639237506691	0.366721524986618	0.183360762493309
54	0.803546564844617	0.392906870310766	0.196453435155383
55	0.817396477120319	0.365207045759362	0.182603522879681
56	0.791381926540367	0.417236146919265	0.208618073459633
57	0.756078049145763	0.487843901708474	0.243921950854237
58	0.732028189673837	0.535943620652327	0.267971810326163
59	0.693329423644893	0.613341152710215	0.306670576355107
60	0.689665087139697	0.620669825720605	0.310334912860303
61	0.650943859020914	0.698112281958171	0.349056140979086
62	0.60768455662005	0.784630886759899	0.39231544337995
63	0.567620131127143	0.864759737745715	0.432379868872857
64	0.519776501815927	0.960446996368147	0.480223498184073
65	0.48084354351511	0.96168708703022	0.51915645648489
66	0.451550593383987	0.903101186767973	0.548449406616013
67	0.448713149415605	0.897426298831211	0.551286850584395
68	0.597827976316705	0.80434404736659	0.402172023683295
69	0.714897548422659	0.570204903154681	0.285102451577341
70	0.679068582025202	0.641862835949596	0.320931417974798
71	0.788914330608549	0.422171338782903	0.211085669391451
72	0.753062783612474	0.493874432775052	0.246937216387526
73	0.742878099345636	0.514243801308728	0.257121900654364
74	0.722335860011046	0.555328279977907	0.277664139988954
75	0.681603554432983	0.636792891134035	0.318396445567017
76	0.734409256576541	0.531181486846917	0.265590743423459
77	0.695949306646728	0.608101386706544	0.304050693353272
78	0.682701126138282	0.634597747723436	0.317298873861718
79	0.688375500522499	0.623248998955002	0.311624499477501
80	0.64566774315465	0.7086645136907	0.35433225684535
81	0.605446653302202	0.789106693395596	0.394553346697798
82	0.729842655901343	0.540314688197315	0.270157344098657
83	0.691288017262303	0.617423965475394	0.308711982737697
84	0.660443710893438	0.679112578213124	0.339556289106562
85	0.617199815057986	0.765600369884027	0.382800184942014
86	0.610446712116875	0.77910657576625	0.389553287883125
87	0.564709031205829	0.870581937588341	0.435290968794171
88	0.524269686944033	0.951460626111934	0.475730313055967
89	0.507439275618151	0.985121448763698	0.492560724381849
90	0.473356449206898	0.946712898413795	0.526643550793102
91	0.453806355940542	0.907612711881085	0.546193644059458
92	0.415660272411428	0.831320544822857	0.584339727588572
93	0.374058193427304	0.748116386854608	0.625941806572696
94	0.332724002273097	0.665448004546193	0.667275997726903
95	0.348396701750437	0.696793403500874	0.651603298249563
96	0.31413371340584	0.628267426811679	0.68586628659416
97	0.277525300761364	0.555050601522728	0.722474699238636
98	0.275793340145572	0.551586680291145	0.724206659854428
99	0.237431287664622	0.474862575329243	0.762568712335378
100	0.203484226595957	0.406968453191913	0.796515773404043
101	0.183032884930502	0.366065769861005	0.816967115069498
102	0.169138322143129	0.338276644286259	0.830861677856871
103	0.209156844008761	0.418313688017522	0.790843155991239
104	0.177024659360187	0.354049318720375	0.822975340639813
105	0.170892394326739	0.341784788653478	0.829107605673261
106	0.182198546152627	0.364397092305253	0.817801453847373
107	0.163441084653873	0.326882169307745	0.836558915346127
108	0.144488549004639	0.288977098009278	0.855511450995361
109	0.138613155962659	0.277226311925318	0.861386844037341
110	0.131131323530462	0.262262647060925	0.868868676469538
111	0.114623916465379	0.229247832930758	0.885376083534621
112	0.0943565912631843	0.188713182526369	0.905643408736816
113	0.110763204447637	0.221526408895274	0.889236795552363
114	0.103391746807003	0.206783493614007	0.896608253192997
115	0.132559781308542	0.265119562617083	0.867440218691458
116	0.12571326942792	0.251426538855841	0.87428673057208
117	0.108119916477045	0.216239832954089	0.891880083522955
118	0.0939065183211983	0.187813036642397	0.906093481678802
119	0.0962079805556605	0.192415961111321	0.90379201944434
120	0.0890200702258129	0.178040140451626	0.910979929774187
121	0.0743769915566403	0.148753983113281	0.92562300844336
122	0.0583201878708909	0.116640375741782	0.941679812129109
123	0.0662960443391666	0.132592088678333	0.933703955660833
124	0.052282285508264	0.104564571016528	0.947717714491736
125	0.0416468077028503	0.0832936154057006	0.95835319229715
126	0.0314967268526307	0.0629934537052614	0.968503273147369
127	0.0233392342181861	0.0466784684363721	0.976660765781814
128	0.0180377721071056	0.0360755442142113	0.981962227892894
129	0.0145764290676494	0.0291528581352988	0.985423570932351
130	0.0205695931180825	0.0411391862361649	0.979430406881918
131	0.0166593916750062	0.0333187833500124	0.983340608324994
132	0.0263109324538084	0.0526218649076167	0.973689067546192
133	0.0268698396492377	0.0537396792984755	0.973130160350762
134	0.0363962921632021	0.0727925843264042	0.963603707836798
135	0.0282478569337202	0.0564957138674404	0.97175214306628
136	0.0190045100546282	0.0380090201092563	0.980995489945372
137	0.0124365964868633	0.0248731929737266	0.987563403513137
138	0.00888079660343393	0.0177615932068679	0.991119203396566
139	0.0131226755967588	0.0262453511935175	0.986877324403241
140	0.010573700505023	0.0211474010100461	0.989426299494977
141	0.554083709052446	0.891832581895109	0.445916290947554
142	0.487503327763281	0.975006655526561	0.512496672236719
143	0.401658078866441	0.803316157732882	0.598341921133559
144	0.321939186189558	0.643878372379115	0.678060813810442
145	0.239550170897424	0.479100341794848	0.760449829102576
146	0.294878452443602	0.589756904887205	0.705121547556398
147	0.237363937919248	0.474727875838496	0.762636062080752
148	0.738241860308678	0.523516279382645	0.261758139691322
149	0.781658179518841	0.436683640962318	0.218341820481159
150	0.624799515833548	0.750400968332904	0.375200484166452

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	10	0.0714285714285714	NOK
10% type I error level	16	0.114285714285714	NOK