Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 3.74007460639926 + 0.10629705754098Connected[t] -0.0161704039113756Separate[t] + 0.530388916240316Software[t] + 0.0519271641151573Happiness[t] -0.0642629312219422Depression[t] + 0.0414421853284572Belonging[t] -0.0543502456696904Belonging_Final[t] + 0.239499489964398Month[t] -0.00816613564800637`T\r`[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)	3.74007460639926	5.289954	0.707	0.48064	0.24032
Connected	0.10629705754098	0.047365	2.2442	0.026264	0.013132
Separate	-0.0161704039113756	0.04523	-0.3575	0.721201	0.3606
Software	0.530388916240316	0.069632	7.617	0	0
Happiness	0.0519271641151573	0.076633	0.6776	0.499051	0.249526
Depression	-0.0642629312219422	0.056687	-1.1337	0.258724	0.129362
Belonging	0.0414421853284572	0.044855	0.9239	0.356991	0.178496
Belonging_Final	-0.0543502456696904	0.064168	-0.847	0.398326	0.199163
Month	0.239499489964398	0.538496	0.4448	0.657129	0.328564
`T\r`	-0.00816613564800637	0.009445	-0.8646	0.388617	0.194308

Multiple Linear Regression - Regression Statistics
Multiple R	0.603773378399474
R-squared	0.364542292463915
Adjusted R-squared	0.326916507149278
F-TEST (value)	9.68862947086731
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	1.25052190824704e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.85107414612956
Sum Squared Residuals	520.824275159329

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.4088279697896	-3.40882796978957
2	16	16.3616102620851	-0.361610262085067
3	19	16.5738446237815	2.42615537621848
4	15	12.2070615648916	2.79293843510841
5	14	15.896398114974	-1.89639811497405
6	13	15.2434803536521	-2.2434803536521
7	19	15.3460493276313	3.65395067236869
8	15	16.9599520164756	-1.95995201647558
9	14	16.2047105333854	-2.2047105333854
10	15	12.8533918317541	2.14660816824594
11	16	15.4985404325301	0.501459567469945
12	16	16.3559762907244	-0.355976290724411
13	16	15.6766450688997	0.323354931100293
14	16	15.5221055804884	0.477894419511606
15	17	17.6553764240305	-0.655376424030509
16	15	15.2717985182772	-0.27179851827716
17	15	14.8595781237804	0.140421876219626
18	20	16.4259279964807	3.57407200351927
19	18	15.6140921868329	2.38590781316714
20	16	15.3819794537203	0.618020546279691
21	16	15.4179143530902	0.582085646909759
22	16	14.9726838502525	1.02731614974753
23	19	16.5340597263505	2.46594027364946
24	16	14.8694544365325	1.13054556346748
25	17	15.0067338999154	1.99326610008456
26	17	17.068924210211	-0.0689242102109929
27	16	15.1761913541302	0.823808645869838
28	15	16.2329973069108	-1.23299730691076
29	16	15.6635544720511	0.336445527948857
30	14	14.1559480432815	-0.15594804328146
31	15	15.7542053134331	-0.75420531343307
32	12	12.3853616995124	-0.385361699512414
33	14	15.2071523821234	-1.20715238212342
34	16	15.6166289303159	0.383371069684056
35	14	15.7789836902402	-1.77898369024024
36	7	13.0499095835898	-6.04990958358984
37	10	11.1390730804921	-1.1390730804921
38	14	15.8560814803261	-1.85608148032609
39	16	14.3519392975408	1.64806070245924
40	16	14.6688117282348	1.33118827176519
41	16	15.1016875606656	0.898312439334388
42	14	15.6456426199675	-1.64564261996752
43	20	17.7831462649164	2.2168537350836
44	14	14.2205038484227	-0.220503848422684
45	14	14.9115341468375	-0.911534146837498
46	11	15.6314612382014	-4.6314612382014
47	14	16.3726825490431	-2.37268254904314
48	15	14.9759505665981	0.0240494334019046
49	16	15.2447553886204	0.755244611379624
50	14	16.0043292245094	-2.00432922450942
51	16	16.4722042658797	-0.47220426587965
52	14	14.1211296994798	-0.121129699479778
53	12	14.7096789630403	-2.70967896304028
54	16	15.1420283318049	0.857971668195075
55	9	11.7924121002763	-2.79241210027627
56	14	12.8785344366004	1.12146556339964
57	16	16.2464354592291	-0.246435459229137
58	16	15.2533787486538	0.746621251346185
59	15	15.5071177920042	-0.507117792004219
60	16	14.3426682207616	1.65733177923839
61	12	11.6731847113685	0.32681528863151
62	16	16.13211571831	-0.132115718309967
63	16	16.639514452837	-0.639514452836983
64	14	14.4733948319109	-0.473394831910915
65	16	15.4695643754263	0.530435624573701
66	17	16.0778447197843	0.922155280215729
67	18	16.2053160676132	1.79468393238675
68	18	14.8152514324832	3.18474856751682
69	12	15.9240799249445	-3.92407992494445
70	16	15.5062259689367	0.493774031063306
71	10	13.5323166499722	-3.53231664997223
72	14	14.3733298113186	-0.373329811318643
73	18	16.6393352102549	1.36066478974514
74	18	17.1543010320299	0.845698967970113
75	16	15.7965675522743	0.203432447725716
76	17	14.0027596343413	2.99724036565873
77	16	16.3472552498339	-0.347255249833948
78	16	14.4958897202041	1.50411027979592
79	13	14.9097229542872	-1.90972295428718
80	16	15.8838425256321	0.116157474367901
81	16	15.6097844299097	0.390215570090324
82	20	16.5801000316513	3.4198999683487
83	16	15.6412144952702	0.358785504729835
84	15	15.9610473227952	-0.961047322795247
85	15	14.7271169841773	0.272883015822655
86	16	14.2713402958602	1.72865970413976
87	14	14.2126505851834	-0.21265058518344
88	16	15.2717513222535	0.728248677746526
89	16	14.4935412375837	1.50645876241633
90	15	14.2525619335021	0.747438066497919
91	12	13.4510375634424	-1.45103756344239
92	17	16.8042889821475	0.19571101785254
93	16	15.4321226645579	0.567877335442117
94	15	15.2333380158787	-0.233338015878683
95	13	15.1147932667923	-2.11479326679232
96	16	15.1033160117288	0.896683988271248
97	16	15.7224065451265	0.277593454873498
98	16	14.0798701603678	1.92012983963216
99	16	15.9983612337801	0.00163876621991991
100	14	14.2274893378125	-0.227489337812515
101	16	17.1368657862717	-1.13686578627166
102	16	14.6778662843803	1.32213371561971
103	20	17.2342328339319	2.76576716606814
104	15	14.3855844844634	0.614415515536571
105	16	14.4592321446037	1.54076785539632
106	13	15.2046128124108	-2.20461281241082
107	17	15.8183709571379	1.18162904286212
108	16	15.7013626142789	0.298637385721081
109	16	14.5791157970549	1.42088420294511
110	12	12.3334274452368	-0.33342744523678
111	16	15.0862365109442	0.913763489055831
112	16	15.9295578272674	0.0704421727326258
113	17	14.6504027144983	2.34959728550172
114	13	14.8857767924122	-1.88577679241219
115	12	14.8812282728164	-2.88122827281636
116	18	16.6095616071921	1.39043839280794
117	14	15.4467929398542	-1.44679293985422
118	14	13.0224644746563	0.977535525343722
119	13	14.9043300806438	-1.90433008064381
120	16	15.7200228558896	0.279977144110386
121	13	14.2337445170634	-1.23374451706343
122	16	15.6087582809002	0.391241719099804
123	13	15.9689001865556	-2.96890018655563
124	16	16.9658773338424	-0.965877333842365
125	15	15.9069120208579	-0.906912020857936
126	16	16.7506870871869	-0.750687087186898
127	15	15.3786827579585	-0.378682757958487
128	17	16.1254498735435	0.874550126456538
129	15	13.7762839674785	1.22371603252147
130	12	14.8699390152938	-2.86993901529383
131	16	14.1044226310071	1.89557736899294
132	10	13.3330421125858	-3.33304211258581
133	16	14.012376760657	1.98762323934301
134	12	13.8341890470438	-1.83418904704377
135	14	15.5296861593587	-1.52968615935867
136	15	15.0100554358192	-0.0100554358192433
137	13	12.1873486712897	0.812651328710258
138	15	14.2855027927922	0.714497207207785
139	11	13.0449242076823	-2.04492420768234
140	12	13.1953298686764	-1.19532986867643
141	8	13.2609374367138	-5.26093743671379
142	16	12.8903992223827	3.10960077761732
143	15	13.2598644649197	1.74013553508029
144	17	16.4167168363333	0.583283163666676
145	16	14.6467361560484	1.35326384395158
146	10	13.9990576665086	-3.99905766650865
147	18	15.6889318922455	2.31106810775448
148	13	14.9322099292929	-1.93220992929291
149	16	14.9469914241662	1.05300857583376
150	13	12.8976099957309	0.102390004269074
151	10	12.9645495444589	-2.96454954445895
152	15	16.1965981578317	-1.19659815783172
153	16	13.8647784264947	2.13522157350527
154	16	11.8334661939483	4.16653380605169
155	14	12.2913315891231	1.70866841087693
156	10	12.3292318404084	-2.32923184040839
157	17	16.5129896549914	0.487010345008556
158	13	11.4196034420268	1.58039655797315
159	15	13.5312998980383	1.46870010196166
160	16	14.8048801931351	1.19511980686486
161	12	12.3684986825072	-0.368498682507156
162	13	12.3329774873407	0.667022512659322

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.735047729951156	0.529904540097689	0.264952270048844
14	0.709365256450699	0.581269487098602	0.290634743549301
15	0.587538167243798	0.824923665512405	0.412461832756202
16	0.474375004510092	0.948750009020185	0.525624995489908
17	0.395853691727587	0.791707383455173	0.604146308272413
18	0.550048966762984	0.899902066474032	0.449951033237016
19	0.463986093931025	0.92797218786205	0.536013906068975
20	0.375244158844829	0.750488317689657	0.624755841155171
21	0.304752051841109	0.609504103682217	0.695247948158891
22	0.296727279829474	0.593454559658949	0.703272720170526
23	0.422143054107194	0.844286108214387	0.577856945892806
24	0.494254924593276	0.988509849186553	0.505745075406724
25	0.439541331992777	0.879082663985553	0.560458668007223
26	0.371331906618848	0.742663813237697	0.628668093381152
27	0.342230931022868	0.684461862045737	0.657769068977132
28	0.445395286081876	0.890790572163752	0.554604713918124
29	0.387572906390828	0.775145812781656	0.612427093609172
30	0.496796078533675	0.993592157067351	0.503203921466325
31	0.44587868433032	0.891757368660639	0.55412131566968
32	0.408433170252312	0.816866340504624	0.591566829747688
33	0.396415090028334	0.792830180056667	0.603584909971666
34	0.364417990097578	0.728835980195156	0.635582009902422
35	0.316731129011648	0.633462258023295	0.683268870988352
36	0.860931901991453	0.278136196017093	0.139068098008547
37	0.833784269101071	0.332431461797858	0.166215730898929
38	0.815908223175731	0.368183553648538	0.184091776824269
39	0.845995460841668	0.308009078316664	0.154004539158332
40	0.833294875401914	0.333410249196171	0.166705124598086
41	0.805468345234695	0.38906330953061	0.194531654765305
42	0.77830690674126	0.44338618651748	0.22169309325874
43	0.806418903660724	0.387162192678552	0.193581096339276
44	0.766433210732353	0.467133578535294	0.233566789267647
45	0.737113153184551	0.525773693630899	0.26288684681545
46	0.876363057854266	0.247273884291468	0.123636942145734
47	0.900800571347284	0.198398857305431	0.0991994286527155
48	0.879402218524694	0.241195562950613	0.120597781475306
49	0.87567941211522	0.248641175769561	0.12432058788478
50	0.871764825379814	0.256470349240372	0.128235174620186
51	0.846900251192418	0.306199497615164	0.153099748807582
52	0.819432031786981	0.361135936426039	0.180567968213019
53	0.842177557037126	0.315644885925747	0.157822442962874
54	0.811128189910698	0.377743620178605	0.188871810089302
55	0.817497006031359	0.365005987937282	0.182502993968641
56	0.807339338054385	0.385321323891231	0.192660661945615
57	0.771502706820386	0.456994586359228	0.228497293179614
58	0.748574028801578	0.502851942396844	0.251425971198422
59	0.711812129673043	0.576375740653914	0.288187870326957
60	0.702382423390307	0.595235153219386	0.297617576609693
61	0.659725304580624	0.680549390838751	0.340274695419376
62	0.614654181284059	0.770691637431881	0.385345818715941
63	0.573039951794309	0.853920096411383	0.426960048205691
64	0.525931777936096	0.948136444127807	0.474068222063904
65	0.481643663043292	0.963287326086584	0.518356336956708
66	0.443949373241746	0.887898746483493	0.556050626758254
67	0.432266666222246	0.864533332444493	0.567733333777754
68	0.554217142127738	0.891565715744524	0.445782857872262
69	0.69335340095911	0.61329319808178	0.30664659904089
70	0.654297302850408	0.691405394299184	0.345702697149592
71	0.780230626754312	0.439538746491376	0.219769373245688
72	0.745435513785973	0.509128972428054	0.254564486214027
73	0.735642323037613	0.528715353924774	0.264357676962387
74	0.715527997301223	0.568944005397554	0.284472002698777
75	0.673817383032472	0.652365233935056	0.326182616967528
76	0.727938968902194	0.544122062195611	0.272061031097806
77	0.688271213665254	0.623457572669493	0.311728786334746
78	0.669652063806259	0.660695872387483	0.330347936193741
79	0.682694372266192	0.634611255467617	0.317305627733808
80	0.639158130861603	0.721683738276794	0.360841869138397
81	0.600927312870116	0.798145374259768	0.399072687129884
82	0.735387100469921	0.529225799060158	0.264612899530079
83	0.698482895838956	0.603034208322089	0.301517104161045
84	0.667641456032952	0.664717087934096	0.332358543967048
85	0.625470188541783	0.749059622916434	0.374529811458217
86	0.614626212393237	0.770747575213527	0.385373787606763
87	0.569902963095659	0.860194073808681	0.430097036904341
88	0.527198152929319	0.945603694141362	0.472801847070681
89	0.501253113402099	0.997493773195802	0.498746886597901
90	0.461703172626218	0.923406345252435	0.538296827373782
91	0.45319237515239	0.90638475030478	0.54680762484761
92	0.408306648129464	0.816613296258927	0.591693351870536
93	0.36704801993295	0.734096039865899	0.63295198006705
94	0.323885743828983	0.647771487657965	0.676114256171017
95	0.361796042931261	0.723592085862523	0.638203957068739
96	0.326146952573663	0.652293905147326	0.673853047426337
97	0.283654113606602	0.567308227213205	0.716345886393398
98	0.275170037570281	0.550340075140562	0.724829962429719
99	0.236856489216712	0.473712978433424	0.763143510783288
100	0.214921566063477	0.429843132126954	0.785078433936523
101	0.204361876849222	0.408723753698445	0.795638123150778
102	0.179387469278542	0.358774938557083	0.820612530721458
103	0.20151147140894	0.403022942817879	0.79848852859106
104	0.171602746756943	0.343205493513886	0.828397253243057
105	0.15579566259306	0.31159132518612	0.84420433740694
106	0.174542112547145	0.34908422509429	0.825457887452855
107	0.14807044511938	0.296140890238761	0.85192955488062
108	0.120686416581892	0.241372833163785	0.879313583418108
109	0.113926031434822	0.227852062869645	0.886073968565178
110	0.113966653764092	0.227933307528184	0.886033346235908
111	0.100836963014473	0.201673926028946	0.899163036985527
112	0.0863170009260069	0.172634001852014	0.913682999073993
113	0.112816796663666	0.225633593327333	0.887183203336334
114	0.108197059728123	0.216394119456246	0.891802940271877
115	0.130976870236088	0.261953740472176	0.869023129763912
116	0.135152830404851	0.270305660809703	0.864847169595149
117	0.116104237214604	0.232208474429207	0.883895762785396
118	0.116170915049586	0.232341830099173	0.883829084950414
119	0.107415565627024	0.214831131254049	0.892584434372976
120	0.120896152217739	0.241792304435478	0.879103847782261
121	0.098496641422782	0.196993282845564	0.901503358577218
122	0.0857533919396129	0.171506783879226	0.914246608060387
123	0.0841650539093875	0.168330107818775	0.915834946090613
124	0.0651713013557386	0.130342602711477	0.934828698644261
125	0.0496822046561457	0.0993644093122914	0.950317795343854
126	0.0371228355387517	0.0742456710775034	0.962877164461248
127	0.026681848764743	0.053363697529486	0.973318151235257
128	0.0250671081562468	0.0501342163124936	0.974932891843753
129	0.0273023596503103	0.0546047193006206	0.97269764034969
130	0.0270997288385305	0.0541994576770609	0.972900271161469
131	0.0292607302435675	0.0585214604871351	0.970739269756432
132	0.0310569029446484	0.0621138058892968	0.968943097055352
133	0.0646527283945668	0.129305456789134	0.935347271605433
134	0.0668618636957829	0.133723727391566	0.933138136304217
135	0.0504723469984326	0.100944693996865	0.949527653001567
136	0.0404411552187775	0.0808823104375549	0.959558844781223
137	0.0285336475096007	0.0570672950192014	0.971466352490399
138	0.0339328432343194	0.0678656864686387	0.966067156765681
139	0.0278154516744701	0.0556309033489401	0.97218454832553
140	0.0179055451604634	0.0358110903209269	0.982094454839537
141	0.459350994990592	0.918701989981184	0.540649005009408
142	0.398055057521769	0.796110115043538	0.601944942478231
143	0.326003270563126	0.652006541126252	0.673996729436874
144	0.242530349491632	0.485060698983264	0.757469650508368
145	0.171468521074368	0.342937042148735	0.828531478925632
146	0.201639254354152	0.403278508708304	0.798360745645848
147	0.219376314050751	0.438752628101502	0.780623685949249
148	0.460352831930854	0.920705663861709	0.539647168069145
149	0.443926383886624	0.887852767773249	0.556073616113376

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	13	0.0948905109489051	OK