Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.70898691934613 + 0.105959670525903Connected[t] -0.0260018017531869Separate[t] + 0.575965070361028Software[t] + 0.0708931995534126Happiness[t] -0.0829610688988634Depression[t] + 0.00303304347695284Belonging[t] -0.00173898699833552t + 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)	5.70898691934613	2.768472	2.0621	0.041126	0.020563
Connected	0.105959670525903	0.049787	2.1282	0.035147	0.017574
Separate	-0.0260018017531869	0.046659	-0.5573	0.578268	0.289134
Software	0.575965070361028	0.074183	7.7641	0	0
Happiness	0.0708931995534126	0.084953	0.8345	0.405485	0.202742
Depression	-0.0829610688988634	0.06303	-1.3162	0.190348	0.095174
Belonging	0.00303304347695284	0.015782	0.1922	0.847894	0.423947
t	-0.00173898699833552	0.003932	-0.4423	0.659007	0.329503

Multiple Linear Regression - Regression Statistics
Multiple R	0.625737480297672
R-squared	0.391547394249279
Adjusted R-squared	0.359762556635436
F-TEST (value)	12.3186847454191
F-TEST (DF numerator)	7
F-TEST (DF denominator)	134
p-value	4.18443057981222e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.8196843162078
Sum Squared Residuals	443.707635427455

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	16	15.4710446844411	0.528955315558916
2	16	14.9204009085722	1.07959909142777
3	19	16.4964308716505	2.50356912834954
4	16	14.8031981511744	1.19680184882556
5	17	14.7378014855504	2.26219851444961
6	17	16.8324204015567	0.167579598443314
7	16	14.8131805307545	1.18681946924546
8	15	16.2505572310753	-1.25055723107528
9	16	15.3820469701125	0.617953029887508
10	14	14.1003623053567	-0.100362305356736
11	15	15.7884232948316	-0.788423294831586
12	12	12.1656729948186	-0.165672994818587
13	14	15.1514025373707	-1.15140253737069
14	16	15.6423859661923	0.357614033807723
15	14	15.5555138193456	-1.55551381934558
16	7	12.931517347401	-5.93151734740102
17	10	10.5718883104945	-0.571888310494455
18	14	15.8289659321642	-1.82896593216424
19	16	14.3084564685582	1.69154353144178
20	16	14.5856677986566	1.41433220134339
21	16	15.0617626398537	0.938237360146285
22	14	15.5271938787826	-1.52719387878259
23	20	18.1372630871013	1.86273691289869
24	14	14.1244126364062	-0.124412636406199
25	14	14.8710066155563	-0.871006615556295
26	11	15.4933771056537	-4.49337710565371
27	14	16.6758735959078	-2.6758735959078
28	15	14.9868234212956	0.0131765787043652
29	16	15.0058653188967	0.994134681103321
30	14	15.9993260746891	-1.99932607468906
31	16	16.6442899318665	-0.644289931866478
32	14	14.0579091853625	-0.0579091853624841
33	12	14.5734388856631	-2.57343888566314
34	16	15.6292797329836	0.370720267016383
35	9	11.2158279027379	-2.21582790273792
36	14	12.4890004336919	1.51099956630811
37	16	16.0848336501058	-0.0848336501057932
38	16	15.2632177295518	0.736782270448201
39	15	15.2037450261959	-0.203745026195902
40	16	14.0422207563659	1.95777924363407
41	12	11.188859134358	0.811140865642047
42	16	15.8495596452577	0.150440354742303
43	16	16.4081239160178	-0.408123916017793
44	14	14.3315420802974	-0.331542080297355
45	16	15.4875747376567	0.512425262343314
46	17	15.9020649514576	1.0979350485424
47	18	16.1649184863355	1.83508151366454
48	18	14.5144705275105	3.48552947248948
49	12	15.8036983178068	-3.80369831780675
50	16	15.3913632459272	0.608636754072782
51	10	13.4356465732072	-3.43564657320721
52	14	14.304516196213	-0.304516196212977
53	18	16.4994707422443	1.50052925775571
54	18	17.0820535188163	0.917946481183653
55	16	15.6893191176856	0.310680882314435
56	17	13.664763942322	3.33523605767803
57	16	16.3948552598343	-0.394855259834345
58	16	14.4608678137693	1.53913218623069
59	13	14.8972308964945	-1.89723089649449
60	16	16.0734340277607	-0.0734340277607383
61	16	15.465530491113	0.534469508886973
62	20	15.8408617207935	4.15913827920648
63	16	15.7896278463971	0.21037215360292
64	15	15.931891487274	-0.931891487274026
65	15	14.7244610325016	0.275538967498405
66	16	14.1920329998602	1.80796700013982
67	14	14.0009399937043	-0.000939993704347349
68	16	15.3211764824092	0.678823517590752
69	16	14.5823303584094	1.41766964159062
70	15	14.0208702677802	0.979129732219805
71	12	13.4659920694422	-1.46599206944216
72	17	17.0467263021788	-0.0467263021787771
73	16	15.3545847546672	0.64541524533276
74	15	15.1513400589163	-0.151340058916251
75	13	15.1175645148208	-2.11756451482083
76	16	14.9971998116017	1.00280018839828
77	16	15.8056968754334	0.194303124566597
78	16	13.9760746078456	2.02392539215438
79	16	16.0579234968137	-0.0579234968137048
80	14	14.2484618653647	-0.248461865364699
81	16	17.3281275820727	-1.32812758207272
82	16	14.6572039736275	1.34279602637252
83	20	17.4531755895735	2.54682441042648
84	15	14.6286210998758	0.371378900124161
85	16	14.3550189830381	1.64498101696193
86	13	15.1453694900908	-2.14536949009084
87	17	16.0379110526616	0.96208894733844
88	16	15.7491801087957	0.250819891204308
89	16	14.4226182378432	1.57738176215684
90	12	11.9058100829043	0.0941899170956652
91	16	14.9077013968259	1.0922986031741
92	16	15.7990558079006	0.200944192099431
93	17	14.4834601496992	2.51653985030082
94	13	14.2771323268367	-1.27713232683665
95	12	14.8509364773881	-2.85093647738807
96	18	16.6835624784396	1.31643752156038
97	14	15.4792823293474	-1.4792823293474
98	14	12.8351674255999	1.16483257440006
99	13	14.9141842200432	-1.91418422004322
100	16	15.5581343539051	0.441865646094928
101	13	14.1736541778859	-1.17365417788588
102	16	15.6634184325883	0.336581567411686
103	13	15.8746164193224	-2.87461641932242
104	16	17.1543033457696	-1.15430334576963
105	15	16.0767908814515	-1.07679088145151
106	16	16.8394709523719	-0.839470952371942
107	15	15.3974052626856	-0.397405262685601
108	17	16.1049662529765	0.895033747023474
109	15	13.9438027892774	1.0561972107226
110	12	14.9071263620085	-2.90712636200853
111	16	14.0326459882854	1.96735401171459
112	10	13.1636475556095	-3.16364755560949
113	16	13.8638537596286	2.13614624037144
114	12	13.9433450129311	-1.94334501293113
115	14	15.6453339855165	-1.64533398551652
116	15	15.2770482712387	-0.27704827123866
117	13	12.1195471681144	0.880452831885575
118	15	14.5540995322447	0.445900467755283
119	11	13.1466576650312	-2.1466576650312
120	12	13.277497269171	-1.27749726917101
121	8	13.192300618056	-5.19230061805598
122	16	13.008770917726	2.99122908227404
123	15	13.2011178883034	1.79888211169661
124	17	16.6593693473628	0.340630652637155
125	16	14.8153471787454	1.18465282125462
126	10	14.0215863915473	-4.0215863915473
127	18	16.0336119650604	1.96638803493962
128	13	15.1597746117288	-2.15977461172878
129	16	15.1465169408982	0.853483059101805
130	13	12.8263257158362	0.173674284163753
131	10	12.9218993883106	-2.92189938831062
132	15	16.2061099050722	-1.20610990507217
133	16	13.8789352727048	2.12106472729517
134	16	11.6998359819628	4.30016401803716
135	14	12.1775299330694	1.82247006693064
136	10	12.4357082686839	-2.43570826868387
137	17	16.933692147287	0.0663078527130319
138	13	11.3937697567764	1.6062302432236
139	15	13.8916331793273	1.10836682067267
140	16	15.0014532814978	0.998546718502189
141	12	12.1643515174618	-0.164351517461842
142	13	12.539849754959	0.460150245041028

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.0530064358592684	0.106012871718537	0.946993564140732
12	0.0158351191982496	0.0316702383964991	0.98416488080175
13	0.0464679208542913	0.0929358417085825	0.953532079145709
14	0.0509633587682586	0.101926717536517	0.949036641231741
15	0.0234127509677793	0.0468255019355586	0.976587249032221
16	0.297839997215792	0.595679994431584	0.702160002784208
17	0.214541367315842	0.429082734631684	0.785458632684158
18	0.151891591713463	0.303783183426925	0.848108408286537
19	0.603788658307489	0.792422683385023	0.396211341692511
20	0.761209016605731	0.477581966788537	0.238790983394269
21	0.756179318542039	0.487641362915922	0.243820681457961
22	0.711553698569176	0.576892602861648	0.288446301430824
23	0.699611669351139	0.600776661297722	0.300388330648861
24	0.629693978183781	0.740612043632437	0.370306021816219
25	0.562783436524069	0.874433126951862	0.437216563475931
26	0.733042359725	0.53391528055	0.266957640275
27	0.702508409273971	0.594983181452059	0.297491590726029
28	0.715370302062647	0.569259395874706	0.284629697937353
29	0.710804116909367	0.578391766181266	0.289195883090633
30	0.673754219142488	0.652491561715024	0.326245780857512
31	0.635367896019673	0.729264207960654	0.364632103980327
32	0.594257515315696	0.811484969368608	0.405742484684304
33	0.588299853705494	0.823400292589012	0.411700146294506
34	0.585748775213626	0.828502449572748	0.414251224786374
35	0.572295875347309	0.855408249305382	0.427704124652691
36	0.618906102951462	0.762187794097077	0.381093897048538
37	0.560748311799657	0.878503376400686	0.439251688200343
38	0.590080015790703	0.819839968418595	0.409919984209297
39	0.55654743238859	0.88690513522282	0.44345256761141
40	0.611262922494251	0.777474155011497	0.388737077505749
41	0.588657325934129	0.822685348131741	0.41134267406587
42	0.539008408281211	0.921983183437578	0.460991591718789
43	0.492421578435476	0.984843156870952	0.507578421564524
44	0.439412201050879	0.878824402101758	0.560587798949121
45	0.387294588580737	0.774589177161473	0.612705411419263
46	0.385070841150054	0.770141682300107	0.614929158849946
47	0.372185697447925	0.744371394895849	0.627814302552075
48	0.503013703631482	0.993972592737035	0.496986296368518
49	0.64938600824085	0.7012279835183	0.35061399175915
50	0.606734332802529	0.786531334394942	0.393265667197471
51	0.704826237778138	0.590347524443723	0.295173762221862
52	0.663235508001999	0.673528983996002	0.336764491998001
53	0.646229826859839	0.707540346280322	0.353770173140161
54	0.618052013711137	0.763895972577726	0.381947986288863
55	0.569038945009667	0.861922109980666	0.430961054990333
56	0.634502072128805	0.730995855742391	0.365497927871195
57	0.589923209716211	0.820153580567577	0.410076790283788
58	0.556317472514176	0.887365054971647	0.443682527485824
59	0.584650934817389	0.830698130365221	0.415349065182611
60	0.536481974381181	0.927036051237637	0.463518025618819
61	0.491196032795056	0.982392065590112	0.508803967204944
62	0.692933769942875	0.61413246011425	0.307066230057125
63	0.648268415454204	0.703463169091593	0.351731584545796
64	0.622634189596857	0.754731620806287	0.377365810403143
65	0.574301710188354	0.851396579623292	0.425698289811646
66	0.558243613427462	0.883512773145077	0.441756386572538
67	0.509742504181499	0.980514991637003	0.490257495818501
68	0.461778043997651	0.923556087995301	0.538221956002349
69	0.430357311692556	0.860714623385113	0.569642688307444
70	0.389451254973366	0.778902509946732	0.610548745026634
71	0.376936075493881	0.753872150987762	0.623063924506119
72	0.350138778097984	0.700277556195968	0.649861221902016
73	0.310182526183247	0.620365052366494	0.689817473816753
74	0.272385293025989	0.544770586051977	0.727614706974011
75	0.300604405938084	0.601208811876168	0.699395594061916
76	0.266770473433649	0.533540946867298	0.733229526566351
77	0.229840842590396	0.459681685180792	0.770159157409604
78	0.226672580249724	0.453345160499449	0.773327419750276
79	0.191346213290758	0.382692426581517	0.808653786709242
80	0.162311458124013	0.324622916248026	0.837688541875987
81	0.150584578254024	0.301169156508047	0.849415421745976
82	0.134104464287157	0.268208928574313	0.865895535712844
83	0.162624580008649	0.325249160017298	0.837375419991351
84	0.133222435734271	0.266444871468543	0.866777564265729
85	0.128479049174722	0.256958098349444	0.871520950825278
86	0.146063494734577	0.292126989469154	0.853936505265423
87	0.127294477417721	0.254588954835442	0.872705522582279
88	0.110254038464405	0.220508076928811	0.889745961535595
89	0.106409953988077	0.212819907976154	0.893590046011923
90	0.100540054692686	0.201080109385372	0.899459945307314
91	0.0895352926804311	0.179070585360862	0.910464707319569
92	0.0749383397481258	0.149876679496252	0.925061660251874
93	0.106816128514343	0.213632257028686	0.893183871485657
94	0.0927254731759005	0.185450946351801	0.907274526824099
95	0.113807025021702	0.227614050043405	0.886192974978298
96	0.114142178529088	0.228284357058176	0.885857821470912
97	0.0984386304726495	0.196877260945299	0.90156136952735
98	0.0970729735381281	0.194145947076256	0.902927026461872
99	0.0918606966288058	0.183721393257612	0.908139303371194
100	0.102818248489939	0.205636496979877	0.897181751510061
101	0.083462940843949	0.166925881687898	0.916537059156051
102	0.0728181404145166	0.145636280829033	0.927181859585483
103	0.0737180520662468	0.147436104132494	0.926281947933753
104	0.0576047713415866	0.115209542683173	0.942395228658413
105	0.0447076711804533	0.0894153423609066	0.955292328819547
106	0.0337471504983128	0.0674943009966255	0.966252849501687
107	0.0241296741089085	0.048259348217817	0.975870325891091
108	0.0244991239264397	0.0489982478528794	0.97550087607356
109	0.0237329639805007	0.0474659279610014	0.976267036019499
110	0.0248132813850395	0.049626562770079	0.97518671861496
111	0.0293401138206119	0.0586802276412237	0.970659886179388
112	0.0315713424104949	0.0631426848209897	0.968428657589505
113	0.0749223752262067	0.149844750452413	0.925077624773793
114	0.0764627801732038	0.152925560346408	0.923537219826796
115	0.0600438526131731	0.120087705226346	0.939956147386827
116	0.0453689943227924	0.0907379886455848	0.954631005677208
117	0.0346571496832933	0.0693142993665865	0.965342850316707
118	0.031456484292068	0.062912968584136	0.968543515707932
119	0.0307102063818813	0.0614204127637626	0.969289793618119
120	0.0209386426286802	0.0418772852573604	0.97906135737132
121	0.398398339255141	0.796796678510282	0.601601660744859
122	0.355722313336797	0.711444626673594	0.644277686663203
123	0.315162540216578	0.630325080433156	0.684837459783422
124	0.24673755029061	0.493475100581219	0.75326244970939
125	0.201024557792428	0.402049115584856	0.798975442207572
126	0.201547150950464	0.403094301900928	0.798452849049536
127	0.307012544678122	0.614025089356244	0.692987455321878
128	0.684182226775631	0.631635546448738	0.315817773224369
129	0.587921250046456	0.824157499907088	0.412078749953544
130	0.446012917401205	0.89202583480241	0.553987082598795
131	0.691935269795043	0.616129460409913	0.308064730204957

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	7	0.0578512396694215	NOK
10% type I error level	16	0.132231404958678	NOK