Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 1.01513523734579 + 0.611262473290177Month[t] + 0.104826952846486Connected[t] -0.018730625721894Separate[t] + 0.511453166676237Software[t] + 0.0433287462643628Happines[t] -0.07071885192344Depression[t] + 0.0351556714609746Belonging[t] -0.045703230204992Belonging_Final[t] -0.00963745644843234t + 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)	1.01513523734579	5.047705	0.2011	0.840883	0.420441
Month	0.611262473290177	0.554333	1.1027	0.271901	0.13595
Connected	0.104826952846486	0.047197	2.221	0.027828	0.013914
Separate	-0.018730625721894	0.04509	-0.4154	0.678434	0.339217
Software	0.511453166676237	0.071465	7.1567	0	0
Happines	0.0433287462643628	0.076802	0.5642	0.573474	0.286737
Depression	-0.07071885192344	0.056847	-1.244	0.215404	0.107702
Belonging	0.0351556714609746	0.045127	0.779	0.437164	0.218582
Belonging_Final	-0.045703230204992	0.064527	-0.7083	0.479853	0.239926
t	-0.00963745644843234	0.005889	-1.6366	0.103787	0.051894

Multiple Linear Regression - Regression Statistics
Multiple R	0.607260220849627
R-squared	0.368764975826338
Adjusted R-squared	0.331389217816056
F-TEST (value)	9.8664213238133
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	7.83240139412555e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84491360342345
Sum Squared Residuals	517.363343022729

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3891627753895	-3.38916277538949
2	16	16.3066116222014	-0.306611622201408
3	19	16.5359102426784	2.46408975732156
4	15	12.3311078422114	2.66889215778864
5	14	15.7659311180188	-1.76593111801877
6	13	15.2243413927199	-2.22434139271991
7	19	15.3170938407998	3.68290615920019
8	15	16.8912465630062	-1.8912465630062
9	14	16.1730137948621	-2.17301379486209
10	15	12.9100407407787	2.08995925922132
11	16	15.4950318862069	0.504968113793074
12	16	16.3229100733834	-0.322910073383425
13	16	15.6648998742105	0.335100125789532
14	16	15.4774409991285	0.522559000871523
15	17	17.5189905723628	-0.51899057236278
16	15	15.2463392142921	-0.246339214292112
17	15	14.8381512045907	0.161848795409314
18	20	16.3365276845675	3.66347231543251
19	18	15.6114025050212	2.38859749497884
20	16	15.3487406872115	0.651259312788532
21	16	15.4077749345581	0.592225065441919
22	16	14.9770934083755	1.02290659162446
23	19	16.4683904357632	2.53160956423678
24	16	14.8668653402738	1.13313465972618
25	17	14.9730118140656	2.02698818593436
26	17	17.0312307860062	-0.0312307860062147
27	16	15.1109609431107	0.889039056889315
28	15	16.1338682127297	-1.13386821272965
29	16	15.5609923369479	0.439007663052094
30	14	14.1896702109937	-0.189670210993745
31	15	15.7101380749511	-0.710138074951083
32	12	12.423362512485	-0.423362512484983
33	14	15.1711549010371	-1.17115490103708
34	16	15.5544710173559	0.445528982644105
35	14	15.6880635386996	-1.68806353869963
36	7	13.0986927433644	-6.09869274336438
37	10	11.1873323059594	-1.18733230595937
38	14	15.7754905514815	-1.77549055148152
39	16	14.3133832062645	1.68661679373551
40	16	14.6586544509869	1.34134554901311
41	16	15.0734465370954	0.926553462904615
42	14	15.5240973180512	-1.5240973180512
43	20	17.6756373418544	2.32436265814559
44	14	14.1989895886534	-0.198989588653378
45	14	14.9045535577059	-0.904553557705852
46	11	15.5533654405479	-4.55336544054792
47	14	16.2986992884879	-2.29869928848794
48	15	14.908683183212	0.0913168167880356
49	16	15.0900434166094	0.909956583390625
50	14	15.9215031903438	-1.92150319034382
51	16	16.3343679023762	-0.33436790237618
52	14	14.0662644482906	-0.0662644482905594
53	12	14.6069668063131	-2.60696680631315
54	16	15.1045027042767	0.895497295723323
55	9	11.610314292338	-2.61031429233795
56	14	12.6498203504056	1.3501796495944
57	16	15.8747995600927	0.12520043990727
58	16	14.947459226997	1.05254077300302
59	15	15.1920486830447	-0.192048683044745
60	16	14.0397041316708	1.96029586832923
61	12	11.4621360380362	0.537863961963754
62	16	15.7679849525174	0.232015047482643
63	16	16.2565578997848	-0.256557899784834
64	14	14.14758205606	-0.147582056059961
65	16	15.1317536084146	0.868246391585431
66	17	16.3448647376782	0.655135262321792
67	18	16.4357274979013	1.56427250209869
68	18	15.1013297664338	2.89867023356623
69	12	16.1479102807702	-4.14791028077021
70	16	15.732559146124	0.267440853876042
71	10	13.8759928095591	-3.87599280955907
72	14	14.6203965237142	-0.620396523714247
73	18	16.802632434066	1.19736756593395
74	18	17.3307558774383	0.66924412256167
75	16	16.0540594617705	-0.0540594617705282
76	17	14.2740063750693	2.72599362493065
77	16	16.5330328090623	-0.53303280906229
78	16	14.7613426206361	1.23865737936389
79	13	15.1478651950803	-2.1478651950803
80	16	16.1840755115703	-0.18407551157033
81	16	15.8165241947802	0.183475805219778
82	20	16.6825015843036	3.31749841569638
83	16	15.8940681242185	0.105931875781489
84	15	16.1618970701766	-1.1618970701766
85	15	14.9737534091673	0.0262465908327215
86	16	14.5383026845569	1.46169731544313
87	14	14.4559256836419	-0.45592568364188
88	16	15.5037318591074	0.496268140892598
89	16	14.7407565406124	1.25924345938756
90	15	14.4821502701035	0.517849729896525
91	12	13.7104219844902	-1.71042198449021
92	17	16.9799923412213	0.0200076587787424
93	16	15.6051264477137	0.394873552286292
94	15	15.4241117138941	-0.424111713894085
95	13	15.3481895480983	-2.34818954809829
96	16	15.3107989193005	0.689201080699473
97	16	15.9137889729843	0.086211027015677
98	16	14.3431505517053	1.65684944829473
99	16	16.1653814165789	-0.165381416578865
100	14	14.4709310736016	-0.470931073601562
101	16	17.2684287236707	-1.26842872367072
102	16	14.8919115828236	1.1080884171764
103	20	17.3439344276378	2.65606557236219
104	15	14.6809017894886	0.319098210511447
105	16	14.6182827063537	1.38171729364627
106	13	15.4003794283629	-2.40037942836294
107	17	16.0009742187518	0.999025781248245
108	16	15.8410066755887	0.158993324411263
109	16	14.5841647989342	1.41583520106581
110	12	12.3507836172692	-0.350783617269173
111	16	15.0065816622292	0.993418337770791
112	16	15.8466450600579	0.153354939942097
113	17	14.6166068190733	2.38339318092669
114	13	14.7704262629415	-1.77042626294155
115	12	14.8308105472925	-2.83081054729251
116	18	16.5251113870145	1.47488861298547
117	14	15.3658713305312	-1.36587133053117
118	14	13.0342690565922	0.965730943407844
119	13	14.8869434725782	-1.88694347257819
120	16	15.6139773177915	0.386022682208536
121	13	14.2032307040985	-1.20323070409848
122	16	15.5308110564572	0.469188943542799
123	13	15.8656247839826	-2.86562478398262
124	16	16.8678527719747	-0.867852771974668
125	15	15.8323516077741	-0.832351607774051
126	16	16.6313754033685	-0.63137540336847
127	15	15.3283764472912	-0.328376447291193
128	17	16.0220196267306	0.97798037326939
129	15	13.7432705017712	1.25672949822879
130	12	14.8025605013257	-2.80256050132574
131	16	14.0780200199288	1.92197998007123
132	10	13.2851019952292	-3.28510199522923
133	16	13.9850293459618	2.01497065403821
134	12	13.7768724466721	-1.77687244667206
135	14	15.4314508972787	-1.43145089727872
136	15	14.9294681107652	0.0705318892347616
137	13	12.1738701275152	0.826129872484818
138	15	14.2441304645214	0.755869535478587
139	11	13.035829655657	-2.035829655657
140	12	13.1961010640699	-1.19610106406986
141	8	13.2325771198375	-5.23257711983754
142	16	12.9014300413822	3.09856995861783
143	15	13.186057184627	1.81394281537301
144	17	16.2600931963442	0.739906803655792
145	16	14.5810878492506	1.41891215074942
146	10	13.9552750464912	-3.95527504649123
147	18	15.5770935642635	2.42290643573651
148	13	14.8682108662518	-1.8682108662518
149	16	14.8793944074128	1.12060559258718
150	13	12.8650992866507	0.134900713349316
151	10	12.9162006087473	-2.91620060874735
152	15	16.0117560692399	-1.01175606923989
153	16	13.7876707613155	2.21232923868451
154	16	11.8423445719812	4.15765542801884
155	14	11.6532221177694	2.3467778822306
156	10	12.2961941445736	-2.29619414457358
157	17	16.3535576720732	0.646442327926844
158	13	11.4122311435957	1.58776885640433
159	15	13.4541468083182	1.54585319168176
160	16	14.72550384201	1.27449615799004
161	12	12.2815659193038	-0.281565919303831
162	13	12.3030960418431	0.696903958156932

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.736773201366112	0.526453597267776	0.263226798633888
14	0.711474624252939	0.577050751494122	0.288525375747061
15	0.589711772866992	0.820576454266016	0.410288227133008
16	0.476662969701614	0.953325939403228	0.523337030298386
17	0.398196687076293	0.796393374152586	0.601803312923707
18	0.554187005273382	0.891625989453236	0.445812994726618
19	0.468414722627298	0.936829445254597	0.531585277372702
20	0.379710736679952	0.759421473359905	0.620289263320048
21	0.309031507654454	0.618063015308909	0.690968492345546
22	0.301175018943393	0.602350037886785	0.698824981056607
23	0.428613617158891	0.857227234317781	0.571386382841109
24	0.501432187505998	0.997135624988003	0.498567812494002
25	0.447355850758672	0.894711701517344	0.552644149241328
26	0.378970437538472	0.757940875076944	0.621029562461528
27	0.350314298349917	0.700628596699834	0.649685701650083
28	0.454014140993239	0.908028281986478	0.545985859006761
29	0.396502404173586	0.793004808347172	0.603497595826414
30	0.50647764373917	0.98704471252166	0.49352235626083
31	0.455393025324585	0.91078605064917	0.544606974675415
32	0.417911598978172	0.835823197956345	0.582088401021828
33	0.405681603299137	0.811363206598274	0.594318396700863
34	0.374212372430784	0.748424744861568	0.625787627569216
35	0.324879528564688	0.649759057129377	0.675120471435312
36	0.866915301429429	0.266169397141142	0.133084698570571
37	0.84044936679181	0.319101266416381	0.15955063320819
38	0.821786579317174	0.356426841365652	0.178213420682826
39	0.852191651598322	0.295616696803356	0.147808348401678
40	0.840555059449163	0.318889881101674	0.159444940550837
41	0.814193232353632	0.371613535292735	0.185806767646368
42	0.78558875515524	0.42882248968952	0.21441124484476
43	0.816529804718543	0.366940390562915	0.183470195281458
44	0.777914923325623	0.444170153348754	0.222085076674377
45	0.748927280986776	0.502145438026448	0.251072719013224
46	0.879473616849562	0.241052766300877	0.120526383150438
47	0.901102538229267	0.197794923541467	0.0988974617707334
48	0.879446770870335	0.241106458259329	0.120553229129665
49	0.876835899201588	0.246328201596825	0.123164100798412
50	0.868381588562877	0.263236822874245	0.131618411437123
51	0.840799407906522	0.318401184186956	0.159200592093478
52	0.810755321663073	0.378489356673853	0.189244678336927
53	0.821157045734501	0.357685908530998	0.178842954265499
54	0.791861118144252	0.416277763711496	0.208138881855748
55	0.810273642243715	0.37945271551257	0.189726357756285
56	0.789579310274277	0.420841379451447	0.210420689725723
57	0.75283602802012	0.494327943959761	0.24716397197988
58	0.737902492672518	0.524195014654964	0.262097507327482
59	0.70823850423195	0.5835229915361	0.29176149576805
60	0.713030984271911	0.573938031456178	0.286969015728089
61	0.678680626308246	0.642638747383507	0.321319373691754
62	0.64311863804244	0.71376272391512	0.35688136195756
63	0.615228920576238	0.769542158847523	0.384771079423762
64	0.580123132731228	0.839753734537545	0.419876867268772
65	0.545171572364235	0.90965685527153	0.454828427635765
66	0.497220083558987	0.994440167117975	0.502779916441013
67	0.47336691672868	0.946733833457361	0.52663308327132
68	0.509081035088346	0.981837929823307	0.490918964911654
69	0.733167008016491	0.533665983967017	0.266832991983509
70	0.692972340317093	0.614055319365815	0.307027659682907
71	0.825516085107253	0.348967829785495	0.174483914892747
72	0.7953904406593	0.409219118681399	0.2046095593407
73	0.783036810767203	0.433926378465594	0.216963189232797
74	0.760354852156704	0.479290295686592	0.239645147843296
75	0.72280129642839	0.55439740714322	0.27719870357161
76	0.757274854002141	0.485450291995719	0.242725145997859
77	0.721388738917443	0.557222522165113	0.278611261082557
78	0.699343820499423	0.601312359001153	0.300656179500577
79	0.717929900267681	0.564140199464638	0.282070099732319
80	0.676781417169289	0.646437165661421	0.323218582830711
81	0.636834960386967	0.726330079226067	0.363165039613033
82	0.746745104367509	0.506509791264982	0.253254895632491
83	0.708679799161175	0.582640401677651	0.291320200838825
84	0.682022964245309	0.635954071509382	0.317977035754691
85	0.638993619799039	0.722012760401922	0.361006380200961
86	0.620733727691939	0.758532544616122	0.379266272308061
87	0.575958876454746	0.848082247090508	0.424041123545254
88	0.531501039165725	0.93699792166855	0.468498960834275
89	0.504437119420492	0.991125761159015	0.495562880579508
90	0.46897654026593	0.937953080531861	0.53102345973407
91	0.460926599801618	0.921853199603236	0.539073400198382
92	0.418474914365484	0.836949828730968	0.581525085634516
93	0.375894071333719	0.751788142667437	0.624105928666281
94	0.333091478976873	0.666182957953747	0.666908521023126
95	0.364147983973608	0.728295967947216	0.635852016026392
96	0.327149250289214	0.654298500578429	0.672850749710786
97	0.286462235705568	0.572924471411136	0.713537764294432
98	0.278419375595678	0.556838751191355	0.721580624404322
99	0.238868265984147	0.477736531968295	0.761131734015853
100	0.207972862546739	0.415945725093477	0.792027137453261
101	0.187474769030979	0.374949538061959	0.812525230969021
102	0.171517566491729	0.343035132983458	0.828482433508271
103	0.211979821448694	0.423959642897387	0.788020178551306
104	0.178590985374001	0.357181970748001	0.821409014625999
105	0.172338082266568	0.344676164533136	0.827661917733432
106	0.177849601905068	0.355699203810137	0.822150398094932
107	0.158854935567173	0.317709871134345	0.841145064432827
108	0.139111164226529	0.278222328453059	0.860888835773471
109	0.137966761595944	0.275933523191887	0.862033238404056
110	0.142747339171234	0.285494678342468	0.857252660828766
111	0.128871523085642	0.257743046171284	0.871128476914358
112	0.110669562750423	0.221339125500846	0.889330437249577
113	0.15334515863602	0.30669031727204	0.84665484136398
114	0.14249660934617	0.28499321869234	0.85750339065383
115	0.161478331306631	0.322956662613262	0.838521668693369
116	0.170217120940184	0.340434241880369	0.829782879059816
117	0.144080998668177	0.288161997336354	0.855919001331823
118	0.149063781183728	0.298127562367457	0.850936218816272
119	0.135981666741346	0.271963333482692	0.864018333258654
120	0.159241921515416	0.318483843030831	0.840758078484584
121	0.130083213013512	0.260166426027025	0.869916786986488
122	0.114871347926925	0.229742695853851	0.885128652073075
123	0.10722844842053	0.21445689684106	0.89277155157947
124	0.0833127990865589	0.166625598173118	0.916687200913441
125	0.0639651701425277	0.127930340285055	0.936034829857472
126	0.0477853191387994	0.0955706382775988	0.952214680861201
127	0.0348101245551391	0.0696202491102782	0.965189875444861
128	0.0331051998326804	0.0662103996653609	0.96689480016732
129	0.034228668750877	0.068457337501754	0.965771331249123
130	0.0337622109289322	0.0675244218578645	0.966237789071068
131	0.0374482103329066	0.0748964206658132	0.962551789667093
132	0.0360684736887267	0.0721369473774533	0.963931526311273
133	0.0790307161297036	0.158061432259407	0.920969283870296
134	0.0862588755326002	0.1725177510652	0.9137411244674
135	0.0647409458291837	0.129481891658367	0.935259054170816
136	0.051028564911441	0.102057129822882	0.948971435088559
137	0.0390985685613777	0.0781971371227554	0.960901431438622
138	0.0466570493762332	0.0933140987524663	0.953342950623767
139	0.0361462625291893	0.0722925250583785	0.963853737470811
140	0.0235573784156634	0.0471147568313269	0.976442621584337
141	0.514404448361437	0.971191103277126	0.485595551638563
142	0.453073924567942	0.906147849135884	0.546926075432058
143	0.380756802163654	0.761513604327307	0.619243197836346
144	0.29311282531663	0.586225650633261	0.70688717468337
145	0.214686916754731	0.429373833509463	0.785313083245269
146	0.231830058600992	0.463660117201984	0.768169941399008
147	0.247278402270153	0.494556804540306	0.752721597729847
148	0.507218352661781	0.985563294676439	0.492781647338219
149	0.543796132794216	0.912407734411568	0.456203867205784

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	1	0.0072992700729927	OK
10% type I error level	11	0.0802919708029197	OK