Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 4.95375411748306 + 0.133474500364509Age[t] + 0.107667989070285Connected[t] -0.0228646367819681Separate[t] + 0.54717958538811Software[t] + 0.0569493232045262Happiness[t] -0.0728576885272164Depression[t] + 0.0393567034692783Belonging[t] -0.056066633893206Belonging_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)	4.95375411748306	2.650597	1.8689	0.063545	0.031773
Age	0.133474500364509	0.128226	1.0409	0.299548	0.149774
Connected	0.107667989070285	0.047277	2.2774	0.024148	0.012074
Separate	-0.0228646367819681	0.044849	-0.5098	0.610914	0.305457
Software	0.54717958538811	0.069075	7.9215	0	0
Happiness	0.0569493232045262	0.076406	0.7453	0.457206	0.228603
Depression	-0.0728576885272164	0.056349	-1.293	0.197966	0.098983
Belonging	0.0393567034692783	0.044652	0.8814	0.379482	0.189741
Belonging_Final	-0.056066633893206	0.064047	-0.8754	0.382726	0.191363

Multiple Linear Regression - Regression Statistics
Multiple R	0.60102733147363
R-squared	0.361233853178312
Adjusted R-squared	0.327834316089596
F-TEST (value)	10.8155347248917
F-TEST (DF numerator)	8
F-TEST (DF denominator)	153
p-value	5.22926146828695e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84981166385584
Sum Squared Residuals	523.535888335781

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.2145332606848	-3.21453326068478
2	16	15.8564166689795	0.143583331020545
3	19	16.1077765061934	2.89222349380662
4	15	11.6346455379561	3.36535446204394
5	14	15.74282681468	-1.74282681467997
6	13	14.917188757312	-1.917188757312
7	19	14.8833906845507	4.11660931544925
8	15	16.6498271871816	-1.64982718718163
9	14	15.7781274574523	-1.77812745745234
10	15	12.148656597054	2.85134340294595
11	16	15.2104529404917	0.789547059508308
12	16	16.0601703014398	-0.0601703014397521
13	16	15.2371313543289	0.762868645671134
14	16	15.2700165357223	0.729983464277743
15	17	17.5518340171394	-0.551834017139444
16	15	15.0531716473167	-0.0531716473166555
17	15	14.7102878239069	0.28971217609307
18	20	16.1457791270244	3.85422087297561
19	18	15.6595316076982	2.34046839230178
20	16	15.3569104159301	0.643089584069876
21	16	15.1448391323609	0.855160867639148
22	16	14.6319444253794	1.36805557462065
23	19	16.5296669375084	2.47033306249163
24	16	14.7919399997119	1.20806000028814
25	17	14.6490415411055	2.3509584588945
26	17	16.6539351005026	0.346064899497415
27	16	15.5260790979009	0.473920902099055
28	15	16.0752732385245	-1.07527323852448
29	16	15.3668488235737	0.633151176426331
30	14	13.848360933308	0.151639066692009
31	15	15.5415206665493	-0.541520666549281
32	12	12.096469572901	-0.0964695729010146
33	14	15.1243311270264	-1.12433112702642
34	16	15.3331718468745	0.666828153125453
35	14	15.5697921761151	-1.56979217611505
36	7	12.7979480715389	-5.79794807153892
37	10	10.7781690772438	-0.778169077243826
38	14	15.6722045113404	-1.67220451134042
39	16	14.1580963297664	1.8419036702336
40	16	14.4793473090939	1.52065269090605
41	16	14.9328878746195	1.06711212538047
42	14	15.7364116600629	-1.73641166006287
43	20	17.791926339695	2.20807366030499
44	14	14.2121107459926	-0.212110745992598
45	14	15.0538164492119	-1.05381644921192
46	11	15.7505670375022	-4.75056703750225
47	14	16.2799650989433	-2.27996509894327
48	15	14.8412409226842	0.1587590773158
49	16	14.9466895668064	1.05331043319359
50	14	15.9146577144718	-1.91465771447182
51	16	16.2740488113962	-0.274048811396182
52	14	14.0238756821725	-0.023875682172512
53	12	14.5981353066829	-2.59813530668289
54	16	15.317700355836	0.682299644163996
55	9	11.4137626225363	-2.41376262253634
56	14	12.4921766066376	1.50782339336242
57	16	16.0958468194325	-0.0958468194325485
58	16	14.8794023362997	1.12059766370031
59	15	15.3511543194206	-0.351154319420611
60	16	14.152009476412	1.84799052358805
61	12	11.3314273736168	0.668572626383154
62	16	16.1417331600482	-0.141733160048245
63	16	16.5351825909878	-0.535182590987796
64	14	14.6637367486737	-0.663736748673704
65	16	15.5882914989199	0.411708501080082
66	17	15.8261791608992	1.17382083910077
67	18	16.1215062900098	1.87849370999016
68	18	14.7696780176983	3.23032198230169
69	12	15.7277778742621	-3.72777787426209
70	16	15.3047158250425	0.69528417495752
71	10	13.2869277780806	-3.28692777808059
72	14	14.2023404342683	-0.202340434268253
73	18	16.3209415596193	1.67905844038071
74	18	17.1676589381615	0.832341061838533
75	16	15.8056606042225	0.194339395777492
76	17	13.8926968716575	3.10730312834247
77	16	16.370752293448	-0.370752293448009
78	16	14.6094000922278	1.3905999077722
79	13	14.7956058690577	-1.79560586905771
80	16	16.1802861209585	-0.180286120958458
81	16	15.63359254875	0.366407451250005
82	20	16.6654544319273	3.33454556807273
83	16	15.5795177729375	0.420482227062499
84	15	15.7820607301893	-0.782060730189278
85	15	15.0552019035588	-0.0552019035588035
86	16	14.5830608215219	1.41693917847809
87	14	14.0812497701883	-0.0812497701883377
88	16	15.2467398110977	0.753260188902279
89	16	14.6339983929585	1.36600160704147
90	15	13.9921978693874	1.0078021306126
91	12	13.3752863626195	-1.37528636261954
92	17	16.8957385722503	0.104261427749656
93	16	15.3767020586232	0.623297941376774
94	15	15.232923918879	-0.232923918878977
95	13	15.2823575248549	-2.2823575248549
96	16	15.2254807051761	0.774519294823916
97	16	15.7403306815739	0.259669318426122
98	16	14.2254069279623	1.77459307203773
99	16	16.0569980637918	-0.0569980637917588
100	14	14.5198274673874	-0.519827467387382
101	16	17.2575700229348	-1.25757002293477
102	16	14.8247395572529	1.17526044274713
103	20	17.459102687477	2.54089731252305
104	15	14.6464941662014	0.353505833798553
105	16	14.3305149757577	1.66948502424232
106	13	15.2681045028644	-2.26810450286443
107	17	15.9441352094224	1.05586479057764
108	16	16.0488748826202	-0.0488748826201887
109	16	14.6010528511029	1.39894714889707
110	12	12.6040085538427	-0.604008553842684
111	16	15.0876149982496	0.912385001750355
112	16	15.9773313552446	0.0226686447554006
113	17	14.4666592697928	2.53334073020715
114	13	15.0476661513459	-2.04766615134591
115	12	14.8060136442397	-2.80601364423966
116	18	16.9826891370404	1.01731086295962
117	14	15.6922143524683	-1.69221435246829
118	14	12.8828673850794	1.11713261492059
119	13	15.1622176552383	-2.16221765523831
120	16	15.7518764499112	0.248123550088765
121	13	14.3462182567372	-1.34621825673719
122	16	16.1780488889348	-0.178048888934765
123	13	16.1818470476672	-3.18184704766716
124	16	17.157330723524	-1.15733072352403
125	15	15.981547230761	-0.981547230760973
126	16	16.8249494564529	-0.824949456452891
127	15	15.5374956046373	-0.537495604637266
128	17	16.3042730181654	0.695726981834596
129	15	14.0395725554544	0.960427444545604
130	12	14.9277893179309	-2.92778931793088
131	16	14.1621990602944	1.83780093970557
132	10	13.3334045870603	-3.33340458706034
133	16	14.1698297754962	1.83017022450376
134	12	13.8046190495834	-1.80461904958344
135	14	15.6154195252291	-1.61541952522908
136	15	15.3834314482963	-0.383431448296266
137	13	12.2832033605523	0.716796639447694
138	15	14.6694569808568	0.330543019143156
139	11	13.4132981985485	-2.41329819854852
140	12	13.4519887102221	-1.45198871022213
141	8	13.3661177506995	-5.36611775069953
142	16	13.4676908348272	2.53230916517284
143	15	13.3361312040775	1.66386879592252
144	17	16.5947409494217	0.405259050578308
145	16	14.8832716675566	1.11672833244338
146	10	14.2587899674578	-4.25878996745785
147	18	15.8218917657528	2.17810823424722
148	13	15.1503650509532	-2.15036505095316
149	16	15.1784984597343	0.82150154026565
150	13	13.2716251499581	-0.27162514995806
151	10	13.1952060750555	-3.1952060750555
152	15	16.6532824878877	-1.65328248788765
153	16	14.7560347515208	1.24396524847918
154	16	12.0901877895767	3.90981221042333
155	14	12.822963879173	1.17703612082697
156	10	12.3486560513435	-2.3486560513435
157	17	16.8957385722503	0.104261427749656
158	13	11.7190928887697	1.28090711123025
159	15	14.0395725554544	0.960427444545604
160	16	15.3672810784503	0.632718921549706
161	12	12.6517360473787	-0.651736047378715
162	13	12.6807880725299	0.319211927470075

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.597477200808385	0.80504559838323	0.402522799191615
13	0.435529171805555	0.871058343611111	0.564470828194445
14	0.388559939340509	0.777119878681019	0.611440060659491
15	0.336091603656982	0.672183207313964	0.663908396343018
16	0.242394520556365	0.484789041112729	0.757605479443635
17	0.248056920480878	0.496113840961756	0.751943079519122
18	0.500868123386607	0.998263753226787	0.499131876613393
19	0.42416264360429	0.848325287208579	0.57583735639571
20	0.335076718301292	0.670153436602584	0.664923281698708
21	0.268152962855048	0.536305925710096	0.731847037144952
22	0.246732401598525	0.49346480319705	0.753267598401475
23	0.453816488182158	0.907632976364315	0.546183511817842
24	0.473778669338736	0.947557338677472	0.526221330661264
25	0.459779556394931	0.919559112789862	0.540220443605069
26	0.409595996416061	0.819191992832122	0.590404003583939
27	0.492005307714312	0.984010615428624	0.507994692285688
28	0.495017851826767	0.990035703653535	0.504982148173233
29	0.48195393621489	0.96390787242978	0.51804606378511
30	0.523728812206566	0.952542375586867	0.476271187793434
31	0.463065692336179	0.926131384672357	0.536934307663821
32	0.413942216457893	0.827884432915786	0.586057783542107
33	0.387941032970536	0.775882065941073	0.612058967029464
34	0.352405730285234	0.704811460570467	0.647594269714767
35	0.305538058778911	0.611076117557822	0.694461941221089
36	0.865042786000226	0.269914427999547	0.134957213999774
37	0.841166228312692	0.317667543374616	0.158833771687308
38	0.833313912222642	0.333372175554716	0.166686087777358
39	0.853002029587406	0.293995940825189	0.146997970412594
40	0.838457806252004	0.323084387495991	0.161542193747996
41	0.81089682881051	0.37820634237898	0.18910317118949
42	0.792586270741678	0.414827458516643	0.207413729258322
43	0.818635682177233	0.362728635645534	0.181364317822767
44	0.781031885500669	0.437936228998662	0.218968114499331
45	0.7519717609612	0.496056478077601	0.2480282390388
46	0.897625208880176	0.204749582239649	0.102374791119824
47	0.936312795674645	0.12737440865071	0.0636872043253551
48	0.918484859609435	0.163030280781131	0.0815151403905654
49	0.90352787767363	0.192944244652741	0.0964721223263705
50	0.901905434862701	0.196189130274599	0.0980945651372993
51	0.87862615412397	0.24274769175206	0.12137384587603
52	0.850959585483469	0.298080829033062	0.149040414516531
53	0.866163895252512	0.267672209494976	0.133836104747488
54	0.850611974929318	0.298776050141365	0.149388025070682
55	0.857009482771675	0.28598103445665	0.142990517228325
56	0.838277326358745	0.323445347282509	0.161722673641255
57	0.807690602417904	0.384618795164192	0.192309397582096
58	0.788866959596263	0.422266080807473	0.211133040403737
59	0.754582423158462	0.490835153683077	0.245417576841538
60	0.753006006015299	0.493987987969402	0.246993993984701
61	0.719547574269823	0.560904851460355	0.280452425730177
62	0.682594541893808	0.634810916212384	0.317405458106192
63	0.647067140142581	0.705865719714837	0.352932859857419
64	0.606209929795941	0.787580140408119	0.393790070204059
65	0.566933791157837	0.866132417684326	0.433066208842163
66	0.539525398135735	0.920949203728529	0.460474601864265
67	0.534095154843058	0.931809690313884	0.465904845156942
68	0.683100129459378	0.633799741081245	0.316899870540622
69	0.78178709461716	0.436425810765679	0.21821290538284
70	0.75193390740287	0.49613218519426	0.24806609259713
71	0.836262492020523	0.327475015958953	0.163737507979476
72	0.80521510159216	0.38956979681568	0.19478489840784
73	0.801783732612593	0.396432534774813	0.198216267387407
74	0.783561252880428	0.432877494239145	0.216438747119572
75	0.747249951460997	0.505500097078005	0.252750048539003
76	0.794734890898877	0.410530218202247	0.205265109101123
77	0.76093132742285	0.478137345154299	0.23906867257715
78	0.742500771527317	0.514998456945367	0.257499228472683
79	0.746203215863248	0.507593568273505	0.253796784136752
80	0.706793015163595	0.586413969672811	0.293206984836405
81	0.668917047097216	0.662165905805569	0.331082952902784
82	0.790493253536233	0.419013492927534	0.209506746463767
83	0.757596518909613	0.484806962180774	0.242403481090387
84	0.729047933108784	0.541904133782433	0.270952066891216
85	0.689819468029139	0.620361063941723	0.310180531970861
86	0.672232998634394	0.655534002731212	0.327767001365606
87	0.629161297151722	0.741677405696556	0.370838702848278
88	0.592875661724134	0.814248676551732	0.407124338275866
89	0.574189091860975	0.851621816278051	0.425810908139025
90	0.54978843126775	0.9004231374645	0.45021156873225
91	0.525116459109222	0.949767081781557	0.474883540890778
92	0.489675798314767	0.979351596629535	0.510324201685233
93	0.45000992496064	0.900019849921279	0.54999007503936
94	0.406335790427677	0.812671580855353	0.593664209572323
95	0.430671080241132	0.861342160482264	0.569328919758868
96	0.395214812862789	0.790429625725577	0.604785187137211
97	0.359479614051214	0.718959228102429	0.640520385948786
98	0.358317748921754	0.716635497843509	0.641682251078246
99	0.316256687688464	0.632513375376928	0.683743312311536
100	0.28031890606573	0.560637812131459	0.71968109393427
101	0.251762495179768	0.503524990359535	0.748237504820232
102	0.236305847693036	0.472611695386072	0.763694152306964
103	0.282389684143013	0.564779368286026	0.717610315856987
104	0.243614725306708	0.487229450613416	0.756385274693292
105	0.261115610208026	0.522231220416052	0.738884389791974
106	0.267309587461041	0.534619174922082	0.732690412538959
107	0.256863537089854	0.513727074179707	0.743136462910146
108	0.23068847783242	0.461376955664841	0.76931152216758
109	0.229330431606926	0.458660863213851	0.770669568393074
110	0.204063056680739	0.408126113361478	0.795936943319261
111	0.179944122777059	0.359888245554117	0.820055877222941
112	0.150826640359438	0.301653280718876	0.849173359640562
113	0.191565033271941	0.383130066543883	0.808434966728058
114	0.177686587391138	0.355373174782277	0.822313412608862
115	0.202682848681408	0.405365697362816	0.797317151318592
116	0.178026472291842	0.356052944583684	0.821973527708158
117	0.159216515782892	0.318433031565784	0.840783484217108
118	0.150644918417707	0.301289836835415	0.849355081582293
119	0.166179606916673	0.332359213833346	0.833820393083327
120	0.15613415048141	0.312268300962821	0.84386584951859
121	0.133631246195504	0.267262492391007	0.866368753804496
122	0.112865495316451	0.225730990632903	0.887134504683549
123	0.13905472616403	0.27810945232806	0.86094527383597
124	0.114302391231027	0.228604782462054	0.885697608768973
125	0.0929956711000791	0.185991342200158	0.907004328899921
126	0.0729215254884582	0.145843050976916	0.927078474511542
127	0.0565130536220699	0.11302610724414	0.94348694637793
128	0.0499388925006464	0.0998777850012927	0.950061107499354
129	0.0384159166688417	0.0768318333376834	0.961584083331158
130	0.0451492023005719	0.0902984046011437	0.954850797699428
131	0.0426955469207066	0.0853910938414133	0.957304453079293
132	0.0605243589910258	0.121048717982052	0.939475641008974
133	0.0791818856505891	0.158363771301178	0.920818114349411
134	0.0809793324274321	0.161958664854864	0.919020667572568
135	0.0616301599073041	0.123260319814608	0.938369840092696
136	0.049016283866036	0.0980325677320719	0.950983716133964
137	0.0340309423516861	0.0680618847033723	0.965969057648314
138	0.0226919373318319	0.0453838746636639	0.977308062668168
139	0.0629791312766422	0.125958262553284	0.937020868723358
140	0.048644976615235	0.0972899532304701	0.951355023384765
141	0.622922722164804	0.754154555670393	0.377077277835196
142	0.567122496623564	0.865755006752872	0.432877503376436
143	0.488081008286297	0.976162016572594	0.511918991713703
144	0.398247707911379	0.796495415822757	0.601752292088621
145	0.306146098461615	0.612292196923229	0.693853901538385
146	0.344591630841298	0.689183261682596	0.655408369158702
147	0.35890614316167	0.71781228632334	0.64109385683833
148	0.726766226825024	0.546467546349951	0.273233773174976
149	0.624955479798942	0.750089040402116	0.375044520201058
150	0.455630092129158	0.911260184258315	0.544369907870842

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	0.00719424460431655	OK
10% type I error level	8	0.0575539568345324	OK