Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 3.88263978819414 + 0.133224418621852Connected[t] -0.0240005165179656Separate[t] + 0.543359174843957Software[t] + 0.108110123166281Happiness[t] -0.0297355463320415Depression[t] + 0.0466081525620708Belonging[t] -0.0650571238143475`Belongfinal\r`[t] -0.00452987958814858t + 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)	3.88263978819414	2.683792	1.4467	0.15011	0.075055
Connected	0.133224418621852	0.04782	2.786	0.006041	0.003021
Separate	-0.0240005165179656	0.045101	-0.5321	0.595427	0.297714
Software	0.543359174843957	0.070891	7.6647	0	0
Happiness	0.108110123166281	0.078736	1.3731	0.171819	0.08591
Depression	-0.0297355463320415	0.059321	-0.5013	0.616933	0.308466
Belonging	0.0466081525620708	0.044483	1.0478	0.29646	0.14823
`Belongfinal\r`	-0.0650571238143475	0.06318	-1.0297	0.304837	0.152419
t	-0.00452987958814858	0.003414	-1.3267	0.186664	0.093332

Multiple Linear Regression - Regression Statistics
Multiple R	0.624074693164474
R-squared	0.389469222648332
Adjusted R-squared	0.3562430578945
F-TEST (value)	11.7217628195686
F-TEST (DF numerator)	8
F-TEST (DF denominator)	147
p-value	8.02025112989213e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.81548697211879
Sum Squared Residuals	484.510963052157

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	19	15.7726345306107	3.22736546938932
2	15	16.8735239680676	-1.87352396806755
3	14	16.1911503419364	-2.19115034193645
4	15	12.8615837008518	2.13841629914817
5	16	15.6468556502733	0.353144349726668
6	16	16.5419952395499	-0.541995239549932
7	16	15.6191656168445	0.380834383155508
8	16	15.7905038478323	0.209496152167723
9	17	17.7561536623289	-0.756153662328927
10	15	15.2872759082095	-0.287275908209481
11	15	14.9597503491649	0.0402496508351323
12	20	16.5983134348733	3.4016865651267
13	18	15.6162009239931	2.38379907600693
14	16	15.4925045464774	0.507495453522615
15	16	15.409436253839	0.590563746160974
16	16	14.7961674107018	1.20383258929825
17	19	16.6797041275584	2.32029587244162
18	16	14.8553030153907	1.14469698460925
19	17	15.2506522134586	1.74934778654141
20	17	16.9262346815231	0.0737653184768799
21	16	15.3245992892489	0.675400710751062
22	15	16.3193551967256	-1.31935519672556
23	16	15.816370952264	0.183629047736029
24	14	14.0080096409082	-0.00800964090824583
25	15	15.750640603127	-0.750640603127039
26	12	12.2701326505284	-0.270132650528419
27	14	15.4314514031017	-1.43145140310173
28	16	15.6142853469126	0.38571465308736
29	14	15.9247818272713	-1.92478182727135
30	7	12.9599649593437	-5.95996495934368
31	10	11.0293409101373	-1.02934091013735
32	14	16.0386035641945	-2.03860356419447
33	16	14.3763461679653	1.62365383203466
34	16	14.6246927017301	1.37530729826986
35	16	15.1944373599356	0.805562640064429
36	14	15.9240497255343	-1.92404972553431
37	20	18.02176599763	1.97823400237001
38	14	14.3028106432857	-0.302810643285712
39	14	14.9838734727465	-0.983873472746453
40	11	15.6807587878349	-4.68075878783487
41	14	16.4731972845047	-2.4731972845047
42	15	15.0472686062228	-0.0472686062227904
43	16	15.6573083201281	0.34269167987195
44	14	16.1445280255174	-2.14452802551743
45	16	16.5626654667373	-0.562665466737307
46	14	14.2687283207034	-0.268728320703362
47	12	14.844381447617	-2.84438144761698
48	16	15.1245870391299	0.875412960870087
49	9	11.4371240523559	-2.43712405235587
50	14	12.8269478852368	1.17305211476316
51	16	16.416293378259	-0.416293378258996
52	16	14.9592656781228	1.04073432187724
53	15	15.2896968153567	-0.28969681535673
54	16	14.2348577673704	1.76514223262957
55	12	11.4203029133262	0.579697086673766
56	16	16.1056491962158	-0.105649196215811
57	16	16.4147192289776	-0.414719228977641
58	14	14.3908937651759	-0.390893765175922
59	16	15.5263461093629	0.473653890637083
60	17	15.7442151865497	1.25578481345026
61	18	16.1968525094688	1.80314749053119
62	18	14.6030047723367	3.39699522766327
63	12	16.0525317894448	-4.05253178944479
64	16	15.5767906587061	0.423209341293874
65	10	13.5207927225386	-3.52079272253859
66	14	14.4322399364128	-0.432239936412804
67	18	16.6673845521626	1.33261544783738
68	18	17.198117112792	0.801882887208002
69	16	15.712573697903	0.287426302096969
70	17	14.2047168570818	2.79528314291818
71	16	16.5823963350891	-0.582396335089074
72	16	14.5724299946855	1.42757000531446
73	13	14.8247690589245	-1.82476905892449
74	16	15.8567951764737	0.14320482352629
75	16	15.5795733318702	0.420426668129804
76	20	16.9066139831504	3.09338601684964
77	16	15.5646248894015	0.435375110598499
78	15	16.1647799500519	-1.16477995005191
79	15	14.7069928864499	0.293007113550118
80	16	14.2643535220625	1.73564647793749
81	14	14.3355904942668	-0.335590494266777
82	16	15.2521665079274	0.747833492072554
83	16	14.4518150506235	1.54818494937652
84	15	14.1945319685325	0.805468031467546
85	12	13.5148484125092	-1.51484841250919
86	17	17.0008738667439	-0.000873866743868138
87	16	15.5189736336781	0.481026366321936
88	15	15.3621225123092	-0.362122512309208
89	13	14.9223267710037	-1.9223267710037
90	16	15.3139144520052	0.686085547994831
91	16	15.8634343689724	0.136565631027569
92	16	14.104220998445	1.89577900155502
93	16	16.2582565106349	-0.258256510634869
94	14	14.1634739400314	-0.163473940031436
95	16	17.4130046416971	-1.41300464169714
96	16	14.8103849839634	1.18961501603664
97	20	17.453346994131	2.54665300586903
98	15	14.212688659306	0.787311340693961
99	16	14.6417606418822	1.35823935811778
100	13	15.4209501698262	-2.42095016982625
101	17	16.0551476138713	0.944852386128721
102	16	16.1246888016974	-0.12468880169737
103	16	14.3540972953168	1.64590270468323
104	12	12.4953842650381	-0.495384265038104
105	16	14.9474511686432	1.05254883135684
106	16	15.6771089334607	0.322891066539253
107	17	14.2557700213908	2.74422997860925
108	13	14.9645180315122	-1.96451803151219
109	12	15.0094510253748	-3.00945102537481
110	18	16.6019893324206	1.39801066757939
111	14	15.3470768088413	-1.34707680884128
112	14	12.8188130990226	1.18118690097745
113	13	14.633587188329	-1.63358718832904
114	16	15.7691533764009	0.230846623599136
115	13	14.0682846976901	-1.06828469769007
116	16	15.5496220351694	0.45037796483057
117	13	15.9290634678292	-2.92906346782925
118	16	16.8407285582148	-0.840728558214761
119	15	15.8290285958674	-0.829028595867366
120	16	16.5300816170987	-0.530081617098664
121	15	15.4124315481128	-0.412431548112759
122	17	16.3598061491527	0.640193850847327
123	15	13.802318518196	1.19768148180397
124	12	14.8970865310347	-2.89708653103468
125	16	13.8762811621352	2.12371883786484
126	10	13.1032263745864	-3.10322637458637
127	16	14.0156725489535	1.98432745104646
128	12	13.75967354792	-1.75967354791997
129	14	15.5570801664193	-1.55708016641925
130	15	15.0685372266819	-0.0685372266818683
131	13	12.2569794354294	0.743020564570612
132	15	14.2524172477434	0.747582752256562
133	11	12.8237555503028	-1.82375555030279
134	12	13.1445440615283	-1.14454406152826
135	8	13.0485030121101	-5.0485030121101
136	16	12.7548649338982	3.24513506610183
137	15	13.2436296779523	1.75637032204774
138	17	16.2816072347369	0.718392765263142
139	16	14.6689078894184	1.3310921105816
140	10	14.1529455066654	-4.15294550666536
141	18	15.7802336792699	2.21976632073013
142	13	14.818735161836	-1.81873516183602
143	16	14.7475567040969	1.25244329590306
144	13	12.8331909940452	0.166809005954806
145	10	13.0424300555416	-3.0424300555416
146	15	16.5166396588951	-1.51663965889514
147	16	13.8285694769831	2.17143052301692
148	16	11.6329756244247	4.36702437557527
149	14	12.2279201494193	1.77207985058068
150	10	12.3901354036824	-2.39013540368239
151	17	16.7064316935142	0.29356830648579
152	13	11.3451657030391	1.65483429696088
153	15	13.6664221305516	1.33357786944843
154	16	14.6585861443264	1.34141385567365
155	12	12.3748554370684	-0.374855437068425
156	13	12.3414613008627	0.658538699137293

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.0695708590246271	0.139141718049254	0.930429140975373
13	0.0642259085362428	0.128451817072486	0.935774091463757
14	0.0279408208694656	0.0558816417389312	0.972059179130534
15	0.010119046598592	0.0202380931971839	0.989880953401408
16	0.00357698541488477	0.00715397082976955	0.996423014585115
17	0.00224708408391813	0.00449416816783626	0.997752915916082
18	0.0296684528391822	0.0593369056783644	0.970331547160818
19	0.030700690650593	0.061401381301186	0.969299309349407
20	0.0172324665094256	0.0344649330188511	0.982767533490574
21	0.00914769210332496	0.0182953842066499	0.990852307896675
22	0.0568601563994883	0.113720312798977	0.943139843600512
23	0.0367385965772429	0.0734771931544858	0.963261403422757
24	0.0427418494532433	0.0854836989064866	0.957258150546757
25	0.0278352039122631	0.0556704078245262	0.972164796087737
26	0.0168502524218134	0.0337005048436268	0.983149747578187
27	0.0457946014794783	0.0915892029589566	0.954205398520522
28	0.0325939476523492	0.0651878953046984	0.967406052347651
29	0.0268931535963585	0.053786307192717	0.973106846403642
30	0.412319686805541	0.824639373611082	0.587680313194459
31	0.351601041359083	0.703202082718167	0.648398958640917
32	0.354085699697549	0.708171399395098	0.645914300302451
33	0.494849119410583	0.989698238821165	0.505150880589417
34	0.508155018941243	0.983689962117514	0.491844981058757
35	0.460876417794483	0.921752835588967	0.539123582205517
36	0.456392666771262	0.912785333542525	0.543607333228738
37	0.473815199104068	0.947630398208137	0.526184800895932
38	0.415863422126671	0.831726844253342	0.584136577873329
39	0.377928852681457	0.755857705362913	0.622071147318543
40	0.638049651813927	0.723900696372146	0.361950348186073
41	0.678477209031292	0.643045581937416	0.321522790968708
42	0.642849491164709	0.714301017670582	0.357150508835291
43	0.602075027665302	0.795849944669396	0.397924972334698
44	0.590084118144084	0.819831763711831	0.409915881855916
45	0.548633197501527	0.902733604996946	0.451366802498473
46	0.502502827259488	0.994994345481024	0.497497172740512
47	0.518602895335821	0.962794209328358	0.481397104664179
48	0.474660025503733	0.949320051007466	0.525339974496267
49	0.48289993602209	0.96579987204418	0.51710006397791
50	0.448387790674535	0.89677558134907	0.551612209325465
51	0.399243752788273	0.798487505576545	0.600756247211727
52	0.434570207111679	0.869140414223358	0.565429792888321
53	0.405954883058085	0.811909766116171	0.594045116941915
54	0.424826147892187	0.849652295784373	0.575173852107813
55	0.399487449253745	0.79897489850749	0.600512550746255
56	0.357784265017702	0.715568530035404	0.642215734982298
57	0.333157097550378	0.666314195100757	0.666842902449622
58	0.29156559522076	0.583131190441519	0.70843440477924
59	0.255260450377287	0.510520900754574	0.744739549622713
60	0.256303581356461	0.512607162712923	0.743696418643539
61	0.24720436211629	0.49440872423258	0.75279563788371
62	0.43793144607381	0.875862892147619	0.56206855392619
63	0.609362276060886	0.781275447878228	0.390637723939114
64	0.566258444218932	0.867483111562137	0.433741555781068
65	0.704820805838053	0.590358388323893	0.295179194161947
66	0.664660816172202	0.670678367655597	0.335339183827798
67	0.654438334318344	0.691123331363311	0.345561665681656
68	0.632099526718792	0.735800946562416	0.367900473281208
69	0.586375457948348	0.827249084103303	0.413624542051652
70	0.618066761111529	0.763866477776941	0.381933238888471
71	0.576235077520965	0.847529844958071	0.423764922479035
72	0.55124889601033	0.89750220797934	0.44875110398967
73	0.555722309855561	0.888555380288878	0.444277690144439
74	0.508838715128202	0.982322569743597	0.491161284871798
75	0.470430392859726	0.940860785719452	0.529569607140274
76	0.592216250587577	0.815567498824845	0.407783749412423
77	0.553213226701935	0.89357354659613	0.446786773298065
78	0.526213909171053	0.947572181657894	0.473786090828947
79	0.481839335139523	0.963678670279046	0.518160664860477
80	0.473211775872192	0.946423551744384	0.526788224127808
81	0.4268568655749	0.853713731149799	0.5731431344251
82	0.386849990297256	0.773699980594512	0.613150009702744
83	0.37006220839211	0.740124416784219	0.62993779160789
84	0.333434475870169	0.666868951740337	0.666565524129831
85	0.320944178991468	0.641888357982936	0.679055821008532
86	0.28640626811964	0.572812536239279	0.71359373188036
87	0.249850845463498	0.499701690926995	0.750149154536502
88	0.215711741056781	0.431423482113562	0.784288258943219
89	0.22940058415371	0.45880116830742	0.77059941584629
90	0.198465331799751	0.396930663599502	0.801534668200249
91	0.167901352706741	0.335802705413483	0.832098647293259
92	0.166779867800274	0.333559735600548	0.833220132199726
93	0.138707632285599	0.277415264571198	0.861292367714401
94	0.11697443821715	0.2339488764343	0.88302556178285
95	0.106003387028124	0.212006774056248	0.893996612971876
96	0.0938923494252482	0.187784698850496	0.906107650574752
97	0.119716159586633	0.239432319173265	0.880283840413367
98	0.0996028043118972	0.199205608623794	0.900397195688103
99	0.0948100306240562	0.189620061248112	0.905189969375944
100	0.110088712518627	0.220177425037253	0.889911287481373
101	0.0960694574412286	0.192138914882457	0.903930542558771
102	0.0839242862742629	0.167848572548526	0.916075713725737
103	0.0830856149927147	0.166171229985429	0.916914385007285
104	0.0825037892356716	0.165007578471343	0.917496210764328
105	0.0739222935001289	0.147844587000258	0.926077706499871
106	0.0613552171362394	0.122710434272479	0.938644782863761
107	0.094897342151046	0.189794684302092	0.905102657848954
108	0.0889341199893325	0.177868239978665	0.911065880010667
109	0.107380541819093	0.214761083638187	0.892619458180907
110	0.113314956136152	0.226629912272304	0.886685043863848
111	0.0942830651930478	0.188566130386096	0.905716934806952
112	0.0972311136999041	0.194462227399808	0.902768886300096
113	0.0862189524107729	0.172437904821546	0.913781047589227
114	0.0980850742010263	0.196170148402053	0.901914925798974
115	0.0778391175913873	0.155678235182775	0.922160882408613
116	0.0675568140439355	0.135113628087871	0.932443185956065
117	0.0665546268661208	0.133109253732242	0.933445373133879
118	0.0505099522160788	0.101019904432158	0.949490047783921
119	0.0378303753081921	0.0756607506163841	0.962169624691808
120	0.0276650801327929	0.0553301602655859	0.972334919867207
121	0.0196313573908553	0.0392627147817106	0.980368642609145
122	0.018414953451544	0.0368299069030881	0.981585046548456
123	0.0205842288203321	0.0411684576406643	0.979415771179668
124	0.0209882765368725	0.041976553073745	0.979011723463127
125	0.0242918736454452	0.0485837472908903	0.975708126354555
126	0.0257143255421812	0.0514286510843624	0.974285674457819
127	0.0569610829548182	0.113922165909636	0.943038917045182
128	0.0596412467775625	0.119282493555125	0.940358753222437
129	0.0452985518169424	0.0905971036338849	0.954701448183058
130	0.0365366165686017	0.0730732331372034	0.963463383431398
131	0.0258651499695002	0.0517302999390005	0.9741348500305
132	0.0317300468111379	0.0634600936222757	0.968269953188862
133	0.026087729970311	0.052175459940622	0.973912270029689
134	0.0169399156647557	0.0338798313295114	0.983060084335244
135	0.478863203369697	0.957726406739393	0.521136796630303
136	0.428493245393801	0.856986490787602	0.571506754606199
137	0.359670544230457	0.719341088460913	0.640329455769543
138	0.276475881139524	0.552951762279048	0.723524118860476
139	0.203333754677304	0.406667509354609	0.796666245322696
140	0.251312021405718	0.502624042811436	0.748687978594282
141	0.283396714418967	0.566793428837934	0.716603285581033
142	0.573714357663413	0.852571284673174	0.426285642336587
143	0.585905621441549	0.828188757116903	0.414094378558451
144	0.588018003188509	0.823963993622982	0.411981996811491

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	2	0.0150375939849624	NOK
5% type I error level	12	0.0902255639097744	NOK
10% type I error level	29	0.218045112781955	NOK