Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.78732779537869 -0.00422414568810815t + 0.105729039901781Connected[t] -0.0145311595609417Separate[t] + 0.53026243867359Software[t] + 0.0522435975588478Happiness[t] -0.0635888549113858Depression[t] + 0.0421795958435027Belonging[t] -0.0560602068878137Belonging_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)	5.78732779537869	2.599908	2.226	0.027478	0.013739
t	-0.00422414568810815	0.003255	-1.2979	0.196286	0.098143
Connected	0.105729039901781	0.047224	2.2389	0.026605	0.013303
Separate	-0.0145311595609417	0.044961	-0.3232	0.746989	0.373494
Software	0.53026243867359	0.069449	7.6353	0	0
Happiness	0.0522435975588478	0.076429	0.6836	0.495287	0.247644
Depression	-0.0635888549113858	0.056518	-1.1251	0.262301	0.131151
Belonging	0.0421795958435027	0.044706	0.9435	0.346922	0.173461
Belonging_Final	-0.0560602068878137	0.063884	-0.8775	0.381577	0.190788

Multiple Linear Regression - Regression Statistics
Multiple R	0.603088159481452
R-squared	0.363715328106725
Adjusted R-squared	0.330445541341063
F-TEST (value)	10.9323011496462
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	3.96016552883793e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.8462150988028
Sum Squared Residuals	521.502059230256

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.3388955526138	-3.33889555261376
2	16	16.279483822928	-0.279483822928033
3	19	16.5056327916096	2.49436720839039
4	15	12.1414991669958	2.85850083300421
5	14	15.8441645976698	-1.84416459766976
6	13	15.1762173264696	-2.17621732646956
7	19	15.2876211320552	3.71237886794481
8	15	16.9082248755467	-1.9082248755467
9	14	16.1564607968364	-2.15646079683639
10	15	12.8142697935029	2.18573020649708
11	16	15.4482146929443	0.551785307055723
12	16	16.3236021851749	-0.323602185174881
13	16	15.6447834812953	0.355216518704726
14	16	15.5056900144418	0.494309985558206
15	17	17.6322376834409	-0.632237683440852
16	15	15.2561072478243	-0.256107247824282
17	15	14.8413168113063	0.158683188693718
18	20	16.4131789067892	3.58682109321082
19	18	15.6077518138616	2.39224818613838
20	16	15.3796382788184	0.62036172118163
21	16	15.4159561876342	0.584043812365804
22	16	14.9706791635717	1.02932083642829
23	19	16.5508880953011	2.44911190469892
24	16	14.8886032920966	1.11139670790343
25	17	15.0134997903077	1.98650020969229
26	17	17.0782358678476	-0.0782358678475589
27	16	15.2050356452134	0.794964354786641
28	15	16.2654518228368	-1.26545182283681
29	16	15.6982160462192	0.301783953780765
30	14	14.185895180371	-0.185895180371007
31	15	15.7812717090957	-0.781271709095692
32	12	12.4369869069914	-0.436986906991427
33	14	15.248478922483	-1.24847892248298
34	16	15.6640019972416	0.335998002758442
35	14	15.8330011853172	-1.83300118531716
36	7	13.1061855561432	-6.1061855561432
37	10	11.2097874108162	-1.20978741081616
38	14	15.9214268074255	-1.92142680742548
39	16	14.4200190876942	1.57998091230585
40	16	14.7411161287062	1.25888387129381
41	16	15.1736746309657	0.826325369034258
42	14	15.7307962090918	-1.73079620909176
43	20	17.8672305911132	2.1327694088868
44	14	14.3172296751758	-0.317229675175774
45	14	14.9940058653055	-0.994005865305469
46	11	15.7333789506867	-4.73337895068667
47	14	16.4756320470172	-2.47563204701715
48	15	15.0813312502265	-0.0813312502264839
49	16	15.3683625931799	0.631637406820142
50	14	16.1124259279248	-2.11242592792476
51	16	16.5970065297527	-0.597006529752734
52	14	14.2424821394283	-0.242482139428303
53	12	14.8435654173719	-2.84356541737189
54	16	15.2682835517268	0.731716448273207
55	9	11.6912370036679	-2.69123700366785
56	14	12.770734904127	1.22926509587302
57	16	16.1468971158982	-0.146897115898174
58	16	15.1604178430379	0.839582156962127
59	15	15.4193989793538	-0.419398979353813
60	16	14.258033572223	1.741966427777
61	12	11.594254350005	0.405745649995047
62	16	16.0534441973212	-0.0534441973212024
63	16	16.5678104146945	-0.567810414694512
64	14	14.4155179164759	-0.415517916475889
65	16	15.4049391977921	0.595060802207908
66	17	16.0151854770683	0.984814522931713
67	18	16.1486327035736	1.85136729642638
68	18	14.7570015288497	3.2429984711503
69	12	15.8852227066525	-3.88522270665255
70	16	15.4669237726385	0.533076227361487
71	10	13.4882338034122	-3.48823380341224
72	14	14.3512683904059	-0.351268390405886
73	18	16.6133676176042	1.38663238239576
74	18	17.136090382116	0.863909617883993
75	16	15.7558772520721	0.2441227479279
76	17	13.9723048978532	3.02769510214683
77	16	16.3332707102837	-0.333270710283678
78	16	14.4769519122964	1.52304808770355
79	13	14.8967147267191	-1.89671472671906
80	16	15.8667569949474	0.133243005052573
81	16	15.6118529454446	0.388147054555368
82	20	16.6292844132198	3.3707155867802
83	16	15.6461327242736	0.3538672757264
84	15	15.9694479349201	-0.969447934920144
85	15	14.7413015911984	0.258698408801565
86	16	14.2830224315052	1.71697756849482
87	14	14.2409365898123	-0.240936589812325
88	16	15.2979586613958	0.702041338604247
89	16	14.5287184372672	1.47128156273282
90	15	14.2885671865104	0.711432813489626
91	12	13.4915980029731	-1.49159800297313
92	17	16.8469365955361	0.153063404463906
93	16	15.4884285776764	0.511571422323589
94	15	15.2752786446355	-0.275278644635468
95	13	15.162206752319	-2.16220675231902
96	16	15.1607031087011	0.839296891298947
97	16	15.7836859672715	0.216314032728501
98	16	14.1389458369319	1.86105416306806
99	16	16.0645227748168	-0.064522774816766
100	14	14.3023903275025	-0.302390327502494
101	16	17.2141375779249	-1.21413757792494
102	16	14.7586383310822	1.24136166891784
103	20	17.317736092853	2.68226390714698
104	15	14.4618870838806	0.538112916119364
105	16	14.5626130501289	1.43738694987112
106	13	15.2986302763145	-2.29863027631453
107	17	15.9148461197642	1.08515388023581
108	16	15.8128394317556	0.187160568244374
109	16	14.4537520927845	1.54624790721547
110	12	12.2253075145009	-0.225307514500884
111	16	14.9645953763508	1.03540462364916
112	16	15.8114573300169	0.188542669983099
113	17	14.5386203125286	2.4613796874714
114	13	14.80620293213	-1.80620293213
115	12	14.7702285367776	-2.77022853677762
116	18	16.4939792580454	1.50602074195462
117	14	15.3632041322636	-1.36320413226357
118	14	12.9351969457508	1.06480305424923
119	13	14.812983111564	-1.81298311156403
120	16	15.6285911382011	0.371408861798866
121	13	14.1613001008177	-1.1613001008177
122	16	15.5186988173272	0.481301182672813
123	13	15.8928048507027	-2.89280485070269
124	16	16.8927609690042	-0.892760969004237
125	15	15.831891403473	-0.831891403472969
126	16	16.6841417023743	-0.684141702374288
127	15	15.304203696239	-0.304203696238989
128	17	16.0717801042539	0.928219895746079
129	15	13.7192187701024	1.28078122989763
130	12	14.8193444595885	-2.81934445958847
131	16	14.0603020881586	1.93969791184137
132	10	13.2979037312182	-3.29790373121818
133	16	13.9759493979446	2.02405060205545
134	12	13.8020149831286	-1.80201498312858
135	14	15.5031160846431	-1.50311608464313
136	15	14.971108381764	0.0288916182360038
137	13	12.1615566495161	0.838443350483924
138	15	14.2674315337738	0.732568466226193
139	11	13.0389253729288	-2.03892537292884
140	12	13.1857662977517	-1.18576629775168
141	8	13.2611189938697	-5.26111899386971
142	16	12.8943452313612	3.10565476863882
143	15	13.2631177737808	1.73688222621917
144	17	16.4208663931898	0.579133606810225
145	16	14.6407441306224	1.35925586937759
146	10	13.998490492144	-3.99849049214397
147	18	15.6944289130789	2.30557108692108
148	13	14.9569395380645	-1.95693953806452
149	16	14.9660886205057	1.03391137949435
150	13	12.9239322952865	0.0760677047134599
151	10	12.999213144229	-2.99921314422898
152	15	16.2371507083438	-1.23715070834381
153	16	13.9158794357326	2.08412056426736
154	16	11.8863238745751	4.11367612542489
155	14	12.34294904634	1.65705095366004
156	10	12.3745582521669	-2.3745582521669
157	17	16.5723671258091	0.427632874190936
158	13	11.4881333958915	1.51186660410855
159	15	13.5924943994591	1.40750560054087
160	16	14.8650241350396	1.13497586496043
161	12	12.4464780299708	-0.446478029970796
162	13	12.4101490018056	0.589850998194358

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.372526891979238	0.745053783958477	0.627473108020762
13	0.594553343751769	0.810893312496461	0.405446656248231
14	0.58579025176255	0.828419496474899	0.41420974823745
15	0.465620124773846	0.931240249547693	0.534379875226154
16	0.363164704150604	0.726329408301207	0.636835295849396
17	0.297951014484172	0.595902028968343	0.702048985515828
18	0.456809030584245	0.91361806116849	0.543190969415755
19	0.377310347882961	0.754620695765921	0.622689652117039
20	0.297920664739789	0.595841329479577	0.702079335260211
21	0.237594490869043	0.475188981738086	0.762405509130957
22	0.233967051386961	0.467934102773923	0.766032948613039
23	0.354852034564925	0.709704069129851	0.645147965435075
24	0.429182302319662	0.858364604639324	0.570817697680338
25	0.378268019328386	0.756536038656773	0.621731980671614
26	0.315069042368879	0.630138084737759	0.684930957631121
27	0.289821921265202	0.579643842530404	0.710178078734798
28	0.391672624573151	0.783345249146302	0.608327375426849
29	0.337423096870226	0.674846193740451	0.662576903129774
30	0.44704705677822	0.894094113556441	0.55295294322178
31	0.398302293175182	0.796604586350364	0.601697706824818
32	0.36329443917146	0.726588878342919	0.63670556082854
33	0.353246509439862	0.706493018879724	0.646753490560138
34	0.32369414435877	0.647388288717539	0.67630585564123
35	0.279400099924874	0.558800199849748	0.720599900075126
36	0.840603846725059	0.318792306549881	0.159396153274941
37	0.8115944642317	0.376811071536599	0.1884055357683
38	0.792946621367504	0.414106757264991	0.207053378632496
39	0.826597668957584	0.346804662084831	0.173402331042416
40	0.813633788071316	0.372732423857367	0.186366211928684
41	0.784455376084966	0.431089247830067	0.215544623915034
42	0.756301061641363	0.487397876717275	0.243698938358637
43	0.787034622749923	0.425930754500155	0.212965377250077
44	0.745367477233058	0.509265045533885	0.254632522766942
45	0.715436686994745	0.56912662601051	0.284563313005255
46	0.863127661062523	0.273744677874954	0.136872338937477
47	0.888900107578081	0.222199784843839	0.111099892421919
48	0.865825434293783	0.268349131412434	0.134174565706217
49	0.862676614997936	0.274646770004127	0.137323385002064
50	0.85592157293739	0.28815685412522	0.14407842706261
51	0.827641258593675	0.344717482812651	0.172358741406325
52	0.796750896915825	0.406498206168351	0.203249103084175
53	0.809365232047767	0.381269535904467	0.190634767952233
54	0.779247452358311	0.441505095283378	0.220752547641689
55	0.798881468376038	0.402237063247924	0.201118531623962
56	0.778100538859461	0.443798922281079	0.221899461140539
57	0.740526490936675	0.518947018126651	0.259473509063325
58	0.725954731424508	0.548090537150985	0.274045268575492
59	0.695365563722863	0.609268872554273	0.304634436277137
60	0.701731030009834	0.596537939980333	0.298268969990166
61	0.66724673021806	0.66550653956388	0.33275326978194
62	0.631280126653251	0.737439746693498	0.368719873346749
63	0.598564543809911	0.802870912380177	0.401435456190089
64	0.554814372398143	0.890371255203715	0.445185627601857
65	0.517974995910329	0.964050008179343	0.482025004089671
66	0.491546620726843	0.983093241453685	0.508453379273157
67	0.486523883848958	0.973047767697915	0.513476116151042
68	0.62930540504787	0.741389189904261	0.37069459495213
69	0.740155397049238	0.519689205901523	0.259844602950762
70	0.707100790906259	0.585798418187483	0.292899209093741
71	0.813066598778137	0.373866802443727	0.186933401221863
72	0.782741383023855	0.43451723395229	0.217258616976145
73	0.776734769578176	0.446530460843648	0.223265230421824
74	0.760334777196214	0.479330445607573	0.239665222803786
75	0.722724555675945	0.55455088864811	0.277275444324055
76	0.762921629325035	0.47415674134993	0.237078370674965
77	0.7257338796602	0.5485322406796	0.2742661203398
78	0.70620756560086	0.58758486879828	0.29379243439914
79	0.713969633071054	0.572060733857892	0.286030366928946
80	0.673013081092326	0.653973837815348	0.326986918907674
81	0.636022821184465	0.72795435763107	0.363977178815535
82	0.761611627109306	0.476776745781389	0.238388372890694
83	0.726726267418669	0.546547465162662	0.273273732581331
84	0.697638624893719	0.604722750212562	0.302361375106281
85	0.65672616474594	0.68654767050812	0.34327383525406
86	0.643772252439145	0.712455495121711	0.356227747560855
87	0.599796813268051	0.800406373463898	0.400203186731949
88	0.557876689659284	0.884246620681432	0.442123310340716
89	0.53543480797549	0.929130384049021	0.46456519202451
90	0.496991735614744	0.993983471229487	0.503008264385256
91	0.484119176421892	0.968238352843783	0.515880823578108
92	0.442093273622182	0.884186547244363	0.557906726377818
93	0.399123035013027	0.798246070026054	0.600876964986973
94	0.355523037061237	0.711046074122474	0.644476962938763
95	0.381903089227818	0.763806178455635	0.618096910772182
96	0.344367417318481	0.688734834636963	0.655632582681519
97	0.302952128085809	0.605904256171619	0.697047871914191
98	0.295472419632481	0.590944839264962	0.704527580367519
99	0.255027160657097	0.510054321314194	0.744972839342903
100	0.22227706880256	0.444554137605119	0.77772293119744
101	0.200418276674316	0.400836553348633	0.799581723325684
102	0.182039922981499	0.364079845962997	0.817960077018501
103	0.222638196099314	0.445276392198629	0.777361803900686
104	0.188728110702807	0.377456221405613	0.811271889297193
105	0.18150386445045	0.3630077289009	0.81849613554955
106	0.192392900752185	0.38478580150437	0.807607099247815
107	0.172687886876967	0.345375773753934	0.827312113123033
108	0.152629644867557	0.305259289735114	0.847370355132443
109	0.14862283626308	0.29724567252616	0.85137716373692
110	0.145622683878667	0.291245367757335	0.854377316121333
111	0.132014601372501	0.264029202745001	0.867985398627499
112	0.112774094116348	0.225548188232695	0.887225905883652
113	0.151780163457373	0.303560326914745	0.848219836542627
114	0.140554466223373	0.281108932446745	0.859445533776627
115	0.158209883111011	0.316419766222022	0.841790116888989
116	0.166403350330419	0.332806700660838	0.833596649669581
117	0.141804482752209	0.283608965504418	0.858195517247791
118	0.143443678550305	0.28688735710061	0.856556321449695
119	0.130836707021487	0.261673414042974	0.869163292978513
120	0.146590802412569	0.293181604825139	0.853409197587431
121	0.120133598404391	0.240267196808781	0.879866401595609
122	0.105889225280341	0.211778450560683	0.894110774719659
123	0.102234172247493	0.204468344494986	0.897765827752507
124	0.0799587114293591	0.159917422858718	0.920041288570641
125	0.0615919680354934	0.123183936070987	0.938408031964507
126	0.0465775609072569	0.0931551218145139	0.953422439092743
127	0.0340613106837866	0.0681226213675732	0.965938689316213
128	0.0323900119209994	0.0647800238419988	0.967609988079001
129	0.0355506808438175	0.0711013616876349	0.964449319156182
130	0.0352770971834642	0.0705541943669285	0.964722902816536
131	0.038392618652726	0.076785237305452	0.961607381347274
132	0.0408287809936685	0.0816575619873371	0.959171219006332
133	0.083013032545449	0.166026065090898	0.916986967454551
134	0.0863432224219764	0.172686444843953	0.913656777578024
135	0.0666756578135303	0.133351315627061	0.93332434218647
136	0.0545674835018216	0.109134967003643	0.945432516498178
137	0.0395857724096075	0.079171544819215	0.960414227590393
138	0.0472641347375771	0.0945282694751542	0.952735865262423
139	0.039785634071228	0.079571268142456	0.960214365928772
140	0.0266296410201981	0.0532592820403961	0.973370358979802
141	0.542123183935686	0.915753632128628	0.457876816064314
142	0.481903785890801	0.963807571781603	0.518096214109198
143	0.408956422856546	0.817912845713093	0.591043577143453
144	0.319886033732943	0.639772067465887	0.680113966267057
145	0.239815114519134	0.479630229038268	0.760184885480866
146	0.284815741140648	0.569631482281297	0.715184258859352
147	0.315995429095842	0.631990858191684	0.684004570904158
148	0.60346269842878	0.793074603142439	0.39653730157122
149	0.610794698767974	0.778410602464051	0.389205301232026
150	0.608962742137527	0.782074515724945	0.391037257862473

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	0	0	OK
10% type I error level	11	0.079136690647482	OK