Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 63.3772497652093 -0.00436056245308616month[t] -0.104279456284647Connected[t] + 2.51346895669427Separate[t] + 0.0530085995545523Software[t] + 0.017854108404229Happiness[t] -0.347745379521211Depression[t] + 0.634498592084557Belonging[t] -5.99595297549823Belonging_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)	63.3772497652093	23.362232	2.7128	0.007568	0.003784
month	-0.00436056245308616	0.001629	-2.6764	0.008392	0.004196
Connected	-0.104279456284647	0.077024	-1.3539	0.178113	0.089057
Separate	2.51346895669427	0.298703	8.4146	0	0
Software	0.0530085995545523	0.077075	0.6878	0.492825	0.246412
Happiness	0.017854108404229	0.238579	0.0748	0.94046	0.47023
Depression	-0.347745379521211	0.432475	-0.8041	0.422806	0.211403
Belonging	0.634498592084557	0.248472	2.5536	0.011807	0.005904
Belonging_Final	-5.99595297549823	2.055088	-2.9176	0.004152	0.002076

Multiple Linear Regression - Regression Statistics
Multiple R	0.822704491549289
R-squared	0.676842680415374
Adjusted R-squared	0.657107882272802
F-TEST (value)	34.2969142894483
F-TEST (DF numerator)	8
F-TEST (DF denominator)	131
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	9.35316050276957
Sum Squared Residuals	11460.0910921645

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	56	67.073083215414	-11.073083215414
2	73	64.3934746583229	8.60652534167709
3	62	64.8933268691825	-2.89332686918254
4	42	57.3296622867166	-15.3296622867166
5	59	57.149765914576	1.85023408542402
6	27	31.1719815085421	-4.17198150854205
7	78	71.2512851828961	6.74871481710392
8	56	51.7549188235253	4.24508117647471
9	59	58.1271905226219	0.872809477378099
10	51	48.0592657800469	2.94073421995312
11	47	61.4235489896242	-14.4235489896242
12	35	43.1029783296815	-8.10297832968147
13	47	52.6076680100216	-5.60766801002162
14	47	49.9238334172811	-2.92383341728105
15	55	56.4639750676349	-1.46397506763493
16	54	50.924483967579	3.07551603242101
17	60	55.3425619982217	4.65743800177832
18	55	51.6180282030323	3.38197179696774
19	48	48.7187183320162	-0.718718332016192
20	47	48.8507730983485	-1.85077309834847
21	47	46.1650558211404	0.834944178859604
22	52	52.0541853917094	-0.0541853917093953
23	48	43.9482533663799	4.05174663362012
24	48	42.4542301753439	5.54576982465615
25	27	41.0121319862982	-14.0121319862982
26	12	42.1729447269072	-30.1729447269072
27	51	47.3464407471178	3.65355925288218
28	58	56.48865310407	1.51134689593005
29	60	53.2017424596171	6.79825754038291
30	46	45.3170983394707	0.68290166052926
31	45	45.176862320001	-0.176862320000968
32	42	45.6774159532779	-3.67741595327792
33	41	48.4889068020291	-7.48890680202908
34	47	44.0026041545838	2.99739584541621
35	32	33.9349250580362	-1.9349250580362
36	56	53.2323904878992	2.7676095121008
37	42	43.1197750350934	-1.11977503509337
38	41	43.569071651438	-2.56907165143795
39	47	43.6594615109372	3.34053848906284
40	47	51.1994785631391	-4.19947856313914
41	49	56.0527415058593	-7.05274150585931
42	52	52.0678644006745	-0.0678644006745395
43	42	44.1948097071424	-2.19480970714239
44	55	50.7835289112717	4.21647108872834
45	48	39.8184622920111	8.18153770798889
46	48	42.0790376846002	5.9209623153998
47	38	36.8170806660383	1.18291933396168
48	48	40.3923543393892	7.60764566061083
49	50	41.8007528791976	8.1992471208024
50	39	36.0583053980311	2.9416946019689
51	48	35.9968032752022	12.0031967247978
52	36	33.1605770694947	2.83942293050529
53	49	40.825339127847	8.17466087215299
54	39	38.0893212160548	0.910678783945164
55	41	36.819851762974	4.18014823702604
56	45	44.8597363794372	0.14026362056276
57	60	43.9199342642006	16.0800657357994
58	45	41.4716318503638	3.5283681496362
59	41	40.0429938901404	0.957006109859593
60	52	44.3217990383691	7.67820096163095
61	46	38.2580133481937	7.74198665180628
62	39	37.237292118916	1.76270788108403
63	32	31.5696336304392	0.430366369560823
64	52	42.2576512142848	9.74234878571518
65	54	46.1598346072575	7.84016539274252
66	51	43.4959682389768	7.5040317610232
67	52	41.3973072885621	10.6026927114379
68	57	48.5692917318401	8.43070826815988
69	47	33.8869028959025	13.1130971040975
70	45	34.5061907420559	10.4938092579441
71	41	33.3904951269808	7.60950487301924
72	43	34.9683546277177	8.03164537228228
73	31	28.9727508564492	2.02724914355078
74	32	44.3976900090518	-12.3976900090518
75	41	35.9785087176748	5.02149128232524
76	27	29.6615906079736	-2.66159060797365
77	40	32.3941326207325	7.60586737926745
78	46	40.9149420309765	5.08505796902349
79	32	34.0042527995416	-2.00425279954162
80	9	38.3194495613185	-29.3194495613185
81	64	48.2752115371914	15.7247884628086
82	30	40.83836752733	-10.83836752733
83	46	39.7043087833256	6.29569121667437
84	37	34.6808930622692	2.31910693773076
85	22	35.849840032005	-13.849840032005
86	20	34.8749665991693	-14.8749665991693
87	21	35.2332116215733	-14.2332116215733
88	44	41.9272467057622	2.07275329423781
89	24	34.2521508903397	-10.2521508903397
90	33	33.8295433086779	-0.829543308677928
91	45	35.7033620677551	9.29663793224488
92	35	40.1948728318924	-5.19487283189238
93	31	26.9220984384558	4.07790156154421
94	20	40.4586528418982	-20.4586528418982
95	13	29.019363355987	-16.019363355987
96	33	26.5272241691853	6.4727758308147
97	58	37.556951792479	20.443048207521
98	26	29.8844958140619	-3.88449581406193
99	36	28.9101751510253	7.0898248489747
100	32	31.559869310615	0.440130689384971
101	34	35.0872179153075	-1.08721791530752
102	15	29.5042838748872	-14.5042838748872
103	40	30.2089901727541	9.79100982724588
104	37	31.0585517659271	5.94144823407292
105	26	32.8337922775621	-6.83379227756207
106	31	29.3757225527959	1.62427744720413
107	47	40.0519650423161	6.94803495768388
108	21	19.0786344297926	1.92136557020735
109	21	23.8806260264564	-2.88062602645636
110	9	15.629965581388	-6.62996558138801
111	28	22.2199747562017	5.78002524379831
112	24	28.5779210883732	-4.5779210883732
113	15	10.8532494582666	4.14675054173339
114	19	20.8021320706554	-1.80213207065535
115	35	33.2721560806465	1.72784391935347
116	45	29.4562234176675	15.5437765823325
117	20	29.4802328777725	-9.48023287777254
118	1	27.2686293472079	-26.2686293472079
119	29	30.3356455368773	-1.33564553687731
120	33	29.2442798485261	3.75572015147385
121	32	26.4943599960367	5.50564000396333
122	11	29.4391223108545	-18.4391223108545
123	10	8.47742860112172	1.52257139887828
124	18	30.6552519113918	-12.6552519113918
125	41	30.202169554262	10.797830445738
126	0	14.2248449107345	-14.2248449107345
127	10	20.4898548149741	-10.4898548149741
128	24	28.6879559438711	-4.68795594387109
129	28	35.4300365921504	-7.43003659215036
130	38	27.5382292715928	10.4617707284072
131	4	4.74518788626662	-0.74518788626662
132	25	19.5424760787743	5.45752392122573
133	40	29.2209694919965	10.7790305080035
134	0	-1.93440618393736	1.93440618393736
135	23	21.4349141566993	1.56508584330073
136	13	8.95838111619727	4.04161888380273
137	6	35.2512477465239	-29.2512477465239
138	31	22.1822682063537	8.81773179364634
139	0	-1.55814990015083	1.55814990015083
140	3	-0.220472731012582	3.22047273101258

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.539259490350635	0.921481019298729	0.460740509649365
13	0.387354184935747	0.774708369871494	0.612645815064253
14	0.293976216330507	0.587952432661013	0.706023783669493
15	0.347476667847759	0.694953335695517	0.652523332152241
16	0.284192051276782	0.568384102553565	0.715807948723218
17	0.236719233320314	0.473438466640629	0.763280766679686
18	0.166113233478841	0.332226466957682	0.833886766521159
19	0.113594647627331	0.227189295254661	0.886405352372669
20	0.0716174787365023	0.143234957473005	0.928382521263498
21	0.046441685961114	0.092883371922228	0.953558314038886
22	0.0287048946588262	0.0574097893176525	0.971295105341174
23	0.017255384527092	0.0345107690541839	0.982744615472908
24	0.0105774611407127	0.0211549222814254	0.989422538859287
25	0.015457193370934	0.030914386741868	0.984542806629066
26	0.583055946828383	0.833888106343235	0.416944053171617
27	0.548645894976316	0.902708210047368	0.451354105023684
28	0.517379221454269	0.965241557091463	0.482620778545731
29	0.467175156230539	0.934350312461079	0.532824843769461
30	0.402713270728143	0.805426541456286	0.597286729271857
31	0.342097167696851	0.684194335393703	0.657902832303149
32	0.294358552953747	0.588717105907494	0.705641447046253
33	0.268361426558983	0.536722853117967	0.731638573441017
34	0.228573980606916	0.457147961213833	0.771426019393084
35	0.203187769788296	0.406375539576592	0.796812230211704
36	0.160630383046578	0.321260766093156	0.839369616953422
37	0.126652754080879	0.253305508161758	0.873347245919121
38	0.0999547431411559	0.199909486282312	0.900045256858844
39	0.0795238279406525	0.159047655881305	0.920476172059348
40	0.0691698619783696	0.138339723956739	0.93083013802163
41	0.0700046176636124	0.140009235327225	0.929995382336388
42	0.0522831965680207	0.104566393136041	0.947716803431979
43	0.0395409729512547	0.0790819459025095	0.960459027048745
44	0.0333184603756965	0.066636920751393	0.966681539624303
45	0.0300669746991447	0.0601339493982895	0.969933025300855
46	0.0223591795826799	0.0447183591653597	0.97764082041732
47	0.0157475451125668	0.0314950902251336	0.984252454887433
48	0.0117386236825607	0.0234772473651214	0.988261376317439
49	0.00802205039043337	0.0160441007808667	0.991977949609567
50	0.00568845110443336	0.0113769022088667	0.994311548895567
51	0.00468648778087606	0.00937297556175212	0.995313512219124
52	0.00329929422495164	0.00659858844990328	0.996700705775048
53	0.00216083312388012	0.00432166624776024	0.99783916687612
54	0.00191459891105885	0.00382919782211771	0.998085401088941
55	0.00124219522811676	0.00248439045623351	0.998757804771883
56	0.00118368657721979	0.00236737315443958	0.99881631342278
57	0.00119416615399061	0.00238833230798123	0.998805833846009
58	0.00078914342893943	0.00157828685787886	0.999210856571061
59	0.000632338593373225	0.00126467718674645	0.999367661406627
60	0.000390446284714648	0.000780892569429296	0.999609553715285
61	0.000258362180966105	0.000516724361932209	0.999741637819034
62	0.000171966872863264	0.000343933745726528	0.999828033127137
63	0.000118582321242692	0.000237164642485384	0.999881417678757
64	7.71371631754347e-05	0.000154274326350869	0.999922862836825
65	5.29354683337473e-05	0.000105870936667495	0.999947064531666
66	3.59778837538235e-05	7.19557675076469e-05	0.999964022116246
67	2.70059950401389e-05	5.40119900802779e-05	0.99997299400496
68	1.72526032783411e-05	3.45052065566823e-05	0.999982747396722
69	2.22280948078389e-05	4.44561896156778e-05	0.999977771905192
70	1.97968840360376e-05	3.95937680720751e-05	0.999980203115964
71	1.51886581928709e-05	3.03773163857419e-05	0.999984811341807
72	1.06186563919158e-05	2.12373127838317e-05	0.999989381343608
73	7.56179840026191e-06	1.51235968005238e-05	0.9999924382016
74	0.000118204890311315	0.00023640978062263	0.999881795109689
75	8.6616293948946e-05	0.000173232587897892	0.999913383706051
76	6.01471263279244e-05	0.000120294252655849	0.999939852873672
77	4.3176480928232e-05	8.63529618564639e-05	0.999956823519072
78	2.55201455574037e-05	5.10402911148075e-05	0.999974479854443
79	3.16688791508359e-05	6.33377583016717e-05	0.999968331120849
80	0.00857813405251226	0.0171562681050245	0.991421865947488
81	0.0110064642152191	0.0220129284304381	0.988993535784781
82	0.0166482606912442	0.0332965213824883	0.983351739308756
83	0.0127283654091239	0.0254567308182478	0.987271634590876
84	0.0097528307692082	0.0195056615384164	0.990247169230792
85	0.0157598383764645	0.031519676752929	0.984240161623535
86	0.027458372795679	0.0549167455913581	0.972541627204321
87	0.0410739272489469	0.0821478544978938	0.958926072751053
88	0.0308248576615173	0.0616497153230347	0.969175142338483
89	0.0325139942481067	0.0650279884962133	0.967486005751893
90	0.0244373881689581	0.0488747763379162	0.975562611831042
91	0.0238249258073796	0.0476498516147591	0.97617507419262
92	0.022526399814056	0.045052799628112	0.977473600185944
93	0.0165502032096133	0.0331004064192266	0.983449796790387
94	0.0619108117667274	0.123821623533455	0.938089188233273
95	0.106652726812615	0.21330545362523	0.893347273187385
96	0.096810126193209	0.193620252386418	0.903189873806791
97	0.203559957360528	0.407119914721056	0.796440042639472
98	0.17245000075178	0.344900001503559	0.82754999924822
99	0.195832463759475	0.39166492751895	0.804167536240525
100	0.161720470864599	0.323440941729199	0.838279529135401
101	0.13615978130478	0.27231956260956	0.86384021869522
102	0.138400050578453	0.276800101156905	0.861599949421547
103	0.14959291371668	0.29918582743336	0.85040708628332
104	0.12804844765779	0.256096895315581	0.87195155234221
105	0.107623807465102	0.215247614930204	0.892376192534898
106	0.0854451066291695	0.170890213258339	0.914554893370831
107	0.0860971596428873	0.172194319285775	0.913902840357113
108	0.0647162907599863	0.129432581519973	0.935283709240014
109	0.0486777551108189	0.0973555102216378	0.951322244889181
110	0.149111574316664	0.298223148633329	0.850888425683336
111	0.133527895341956	0.267055790683911	0.866472104658044
112	0.153626566724434	0.307253133448868	0.846373433275566
113	0.119524877716348	0.239049755432696	0.880475122283652
114	0.105024378525065	0.210048757050129	0.894975621474935
115	0.202646214640775	0.405292429281551	0.797353785359225
116	0.503544834513102	0.992910330973796	0.496455165486898
117	0.444408623725886	0.888817247451773	0.555591376274114
118	0.516976114262009	0.966047771475982	0.483023885737991
119	0.437585573595136	0.875171147190271	0.562414426404864
120	0.378218305608047	0.756436611216094	0.621781694391953
121	0.299248392546655	0.598496785093309	0.700751607453346
122	0.347032154555721	0.694064309111441	0.652967845444279
123	0.693151702890797	0.613696594218407	0.306848297109204
124	0.613016361855702	0.773967276288595	0.386983638144298
125	0.505337891218507	0.989324217562986	0.494662108781493
126	0.665322441202049	0.669355117595902	0.334677558797951
127	0.568010664980488	0.863978670039024	0.431989335019512
128	0.496296868491224	0.992593736982449	0.503703131508776

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	29	0.247863247863248	NOK
5% type I error level	47	0.401709401709402	NOK
10% type I error level	57	0.487179487179487	NOK