Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 4.004066843185 -0.0482997595122031Connected[t] + 0.0306718810019555Separate[t] + 0.526836579812634Learning[t] -0.00818079228040855Depression[t] + 0.0015368859032072Belonging[t] -0.00467637986962386Belonging_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)	4.004066843185	2.391114	1.6746	0.096037	0.048018
Connected	-0.0482997595122031	0.04688	-1.0303	0.304485	0.152243
Separate	0.0306718810019555	0.043735	0.7013	0.484159	0.242079
Learning	0.526836579812634	0.066941	7.8702	0	0
Depression	-0.00818079228040855	0.049081	-0.1667	0.86784	0.43392
Belonging	0.0015368859032072	0.04372	0.0352	0.972003	0.486002
Belonging_Final	-0.00467637986962386	0.063046	-0.0742	0.940968	0.470484

Multiple Linear Regression - Regression Statistics
Multiple R	0.550647838886829
R-squared	0.303213042470735
Adjusted R-squared	0.276240644114763
F-TEST (value)	11.2416047868285
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	2.10551243107204e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.8220462940462
Sum Squared Residuals	514.577168135362

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	9.87182500850034	2.12817499149966
2	11	11.3349497905143	-0.334949790514305
3	15	13.4289803324891	1.57101966751085
4	6	11.2345653420561	-5.23456534205614
5	13	10.6023399509718	2.39766004902821
6	10	9.85385308609178	0.146146913908221
7	12	12.8095510172347	-0.809551017234653
8	14	11.1724309765905	2.82756902340949
9	12	10.5359879930912	1.46401200690882
10	6	11.0757190916234	-5.07571909162342
11	10	11.3593530197218	-1.35935301972176
12	12	11.6007296966467	0.39927030335335
13	12	11.4554286105764	0.544571389423582
14	11	11.5294331884354	-0.529433188435412
15	15	12.3053092508543	2.6946907491457
16	12	11.1794539242024	0.82054607579762
17	10	10.9396226466795	-0.939622646679519
18	12	13.6636717874863	-1.66367178748632
19	11	12.5937873372574	-1.59378733725739
20	12	11.6822625293903	0.317737470609741
21	11	11.7524692378554	-0.752469237855412
22	12	11.6712043215984	0.328795678401614
23	13	13.1263045124341	-0.12630451243413
24	11	11.6410728407897	-0.641072840789693
25	9	11.8571099904573	-2.85710999045731
26	13	11.7910326399226	1.2089673600774
27	10	11.5939068919817	-1.5939068919817
28	14	11.2251556023959	2.77484439760412
29	12	11.6466410437403	0.353358956259661
30	10	10.5406195518176	-0.540619551817622
31	12	11.0883167916723	0.911683208327704
32	8	9.80947190503917	-1.80947190503917
33	10	10.3697428116008	-0.36974281160078
34	12	11.7127050816698	0.287294918330188
35	12	10.4687148698735	1.53128513012655
36	7	6.99641451716846	0.00358548283153554
37	6	8.58274983763587	-2.58274983763587
38	12	10.4630247485561	1.53697525144392
39	10	11.8034693372308	-1.80346933723084
40	10	11.5829618603176	-1.58296186031757
41	10	11.4575265424788	-1.45752654247879
42	12	10.5447338467629	1.45526615323713
43	15	13.5501327348689	1.44986726513113
44	10	10.521878649782	-0.521878649782013
45	10	10.2228492248655	-0.222849224865511
46	12	8.89679670122873	3.10320329877128
47	13	10.5657775769654	2.43422242303461
48	11	11.1657316841916	-0.165731684191641
49	11	11.6548019739291	-0.654801973929142
50	12	10.3407289246837	1.6592710753163
51	14	11.8764784418343	2.12352155816567
52	10	10.5557281550342	-0.555728155034249
53	12	9.56922906528926	2.43077093471074
54	13	11.722434134917	1.27756586508303
55	5	8.01998937068188	-3.01998937068188
56	6	10.3730320180795	-4.37303201807946
57	12	11.3895476163367	0.610452383663344
58	12	11.9085393188667	0.0914606811332574
59	11	11.0530125682296	-0.0530125682296055
60	10	11.5695902859511	-1.56959028595107
61	7	9.50412063505911	-2.50412063505911
62	12	11.4506388258389	0.549361174161111
63	14	11.6745097448897	2.32549025511034
64	11	10.7764214498347	0.223578550165264
65	12	11.5644096112631	0.435590388736853
66	13	12.2084762577055	0.791523742294466
67	14	12.5878028187621	1.41219718123793
68	11	12.6885648704138	-1.68856487041376
69	12	9.48206149724994	2.51793850275006
70	12	11.6729262152038	0.327073784796238
71	8	8.33208983752414	-0.332089837524141
72	11	10.8539773126274	0.146022687372639
73	14	12.8348080402463	1.1651919597537
74	14	12.7464635491611	1.25353645083888
75	12	11.4246917911288	0.575308208871247
76	9	11.7351277143998	-2.73512771439976
77	13	11.5813679944933	1.41863200550665
78	11	11.5032995521238	-0.503299552123759
79	12	10.2435774864975	1.7564225135025
80	12	11.3295459778404	0.67045402215965
81	12	11.760059569621	0.239940430378985
82	12	13.8835374698526	-1.8835374698526
83	12	11.7028748088033	0.297125191196653
84	12	10.9446353406629	1.05536465933708
85	11	11.2105927534531	-0.210592753453062
86	10	11.5825884283744	-1.58258842837438
87	9	10.5390705071366	-1.53907050713658
88	12	11.6938716757831	0.306128324216881
89	12	11.8202187052653	0.179781294734699
90	12	11.051415798198	0.948584201801973
91	9	9.72372986941483	-0.723729869414826
92	15	12.0089569684925	2.99104303150749
93	12	11.7973840992392	0.202615900760845
94	12	10.9986824301537	1.00131756984632
95	12	10.1937588805342	1.80624111946582
96	10	11.4671215185814	-1.46712151858138
97	13	11.493944969745	1.506055030255
98	9	11.5085637596836	-2.50856375968362
99	12	11.4992377816355	0.500762218364542
100	10	10.7582563040787	-0.758256304078738
101	14	11.5268072865004	2.47319271349959
102	11	11.4907397536186	-0.490739753618585
103	15	13.726160735258	1.27383926474201
104	11	11.0348737040417	-0.0348737040417422
105	11	11.8064948713552	-0.806494871355215
106	12	9.65979380575944	2.34020619424056
107	12	12.0054384332914	-0.00543843329143206
108	12	11.4265072275104	0.573492772489572
109	11	11.5741360316857	-0.574136031685746
110	7	9.27150148472301	-2.27150148472302
111	12	11.8096542274132	0.190345772586762
112	14	11.7335886067411	2.26641139325887
113	11	12.4602998682579	-1.46029986825788
114	11	10.2037717509732	0.796228249026844
115	10	9.3807026204581	0.619297379541898
116	13	12.4840505017051	0.51594949829486
117	13	10.8269023478873	2.17309765211273
118	8	10.7599333765409	-2.75993337654093
119	11	10.1685761941884	0.831423805811601
120	12	11.460655929047	0.53934407095297
121	11	10.1998693327884	0.800130667211635
122	13	11.551459125077	1.44854087492303
123	12	10.008024495703	1.99197550429695
124	14	11.6434596328381	2.35654036716191
125	13	11.075318649249	1.92468135075101
126	15	11.7599670657699	3.24003293423007
127	10	10.8200976116772	-0.820097611677231
128	11	11.8574635603089	-0.857463560308901
129	9	11.2035621025274	-2.20356210252743
130	11	9.44633106219619	1.55366893780381
131	10	11.7227541183802	-1.72275411838019
132	11	8.65230299625078	2.34769700374922
133	8	11.4577401545115	-3.45774015451154
134	11	9.73229922888317	1.26770077111683
135	12	10.5586659121544	1.4413340878456
136	12	11.0141532040879	0.985846795912075
137	9	9.91584357707678	-0.91584357707678
138	11	11.1238243174802	-0.123824317480177
139	10	9.21221813767614	0.78778186232386
140	8	9.4997749600118	-1.4997749600118
141	9	7.61112681717803	1.38887318282197
142	8	11.7775671501346	-3.77756715013465
143	9	11.2765386596678	-2.27653865966777
144	15	12.370966296923	2.62903370307702
145	11	11.4466700715332	-0.446670071533177
146	8	8.08086380935547	-0.0808638093554696
147	13	12.5685177298812	0.431482270118768
148	12	10.0264991738817	1.97350082611826
149	12	11.6488523805106	0.351147619489388
150	9	9.88559513348837	-0.885595133488373
151	7	8.41786280024153	-1.41786280024153
152	13	10.7754359016484	2.22456409835157
153	9	11.800551968796	-2.800551968796
154	6	11.7458894597389	-5.74588945973886
155	8	10.481657071301	-2.48165707130096
156	8	8.36349635452125	-0.363496354521249
157	15	12.0089569684925	2.99104303150749
158	6	10.2326393744328	-4.23263937443285
159	9	11.2035621025274	-2.20356210252743
160	11	11.5897364008297	-0.589736400829724
161	8	9.60205449295541	-1.60205449295541
162	8	10.0749772502368	-2.0749772502368

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.999928517755	0.000142964489999437	7.14822449997183e-05
11	0.99978301697283	0.000433966054340431	0.000216983027170216
12	0.999427269202816	0.00114546159436758	0.000572730797183788
13	0.998675783865075	0.00264843226984977	0.00132421613492488
14	0.997976371800112	0.00404725639977666	0.00202362819988833
15	0.998060737009156	0.00387852598168733	0.00193926299084366
16	0.996721381754249	0.00655723649150217	0.00327861824575108
17	0.994718897345043	0.0105622053099132	0.00528110265495659
18	0.993650428772205	0.0126991424555892	0.0063495712277946
19	0.9904203817356	0.0191592365288002	0.00957961826440011
20	0.98452943351731	0.0309411329653791	0.0154705664826895
21	0.976056017657404	0.0478879646851924	0.0239439823425962
22	0.965150130267409	0.0696997394651825	0.0348498697325913
23	0.949082234647157	0.101835530705685	0.0509177653528427
24	0.929337714580376	0.141324570839247	0.0706622854196237
25	0.930182473781065	0.139635052437869	0.0698175262189345
26	0.929344179679526	0.141311640640947	0.0706558203204737
27	0.930902467842272	0.138195064315456	0.0690975321577278
28	0.939300156675266	0.121399686649468	0.0606998433247338
29	0.918006105744284	0.163987788511432	0.081993894255716
30	0.894222758360457	0.211554483279087	0.105777241639543
31	0.875523737049166	0.248952525901668	0.124476262950834
32	0.895320831621732	0.209358336756536	0.104679168378268
33	0.866065220032377	0.267869559935246	0.133934779967623
34	0.831461293207782	0.337077413584436	0.168538706792218
35	0.817445928191615	0.36510814361677	0.182554071808385
36	0.778012938560929	0.443974122878143	0.221987061439071
37	0.823426308172323	0.353147383655354	0.176573691827677
38	0.814219948263595	0.371560103472809	0.185780051736405
39	0.803880566034948	0.392238867930104	0.196119433965052
40	0.785166386198768	0.429667227602463	0.214833613801232
41	0.760587456964807	0.478825086070385	0.239412543035193
42	0.744132226280269	0.511735547439462	0.255867773719731
43	0.743250023375047	0.513499953249906	0.256749976624953
44	0.700864823513783	0.598270352972433	0.299135176486217
45	0.654801453478231	0.690397093043539	0.345198546521769
46	0.719392740651055	0.56121451869789	0.280607259348945
47	0.730469155986435	0.53906168802713	0.269530844013565
48	0.686159849423083	0.627680301153834	0.313840150576917
49	0.648910141646557	0.702179716706886	0.351089858353443
50	0.636319895278529	0.727360209442942	0.363680104721471
51	0.641075896497481	0.717848207005039	0.358924103502519
52	0.594589847917135	0.810820304165731	0.405410152082865
53	0.623310627562992	0.753378744874017	0.376689372437008
54	0.590441865606762	0.819116268786477	0.409558134393238
55	0.678571733142071	0.642856533715858	0.321428266857929
56	0.842584875382759	0.314830249234483	0.157415124617242
57	0.814686944998995	0.37062611000201	0.185313055001005
58	0.780543921981958	0.438912156036084	0.219456078018042
59	0.743380171883736	0.513239656232528	0.256619828116264
60	0.730455525557284	0.539088948885432	0.269544474442716
61	0.744471088408101	0.511057823183798	0.255528911591899
62	0.708002182095942	0.583995635808116	0.291997817904058
63	0.727660100282319	0.544679799435362	0.272339899717681
64	0.686900706201208	0.626198587597585	0.313099293798792
65	0.651447538038338	0.697104923923324	0.348552461961662
66	0.612754443708483	0.774491112583034	0.387245556291517
67	0.595535069159226	0.808929861681549	0.404464930840774
68	0.5774788795143	0.845042240971399	0.4225211204857
69	0.593810722129346	0.812378555741308	0.406189277870654
70	0.549657012609746	0.900685974780509	0.450342987390254
71	0.508395309501803	0.983209380996395	0.491604690498197
72	0.464781956227348	0.929563912454696	0.535218043772652
73	0.434661932263128	0.869323864526256	0.565338067736872
74	0.411724662102675	0.823449324205349	0.588275337897325
75	0.386552489533507	0.773104979067014	0.613447510466493
76	0.43680964783223	0.873619295664461	0.56319035216777
77	0.417559815720117	0.835119631440234	0.582440184279883
78	0.377102598840996	0.754205197681991	0.622897401159004
79	0.379005513741975	0.75801102748395	0.620994486258025
80	0.356230395235653	0.712460790471307	0.643769604764347
81	0.315738344167261	0.631476688334522	0.684261655832739
82	0.328954712559902	0.657909425119805	0.671045287440098
83	0.29402940855125	0.5880588171025	0.70597059144875
84	0.266399107858734	0.532798215717468	0.733600892141266
85	0.230189047191028	0.460378094382056	0.769810952808972
86	0.222289526965641	0.444579053931282	0.777710473034359
87	0.222903500285278	0.445807000570556	0.777096499714722
88	0.190515243527708	0.381030487055416	0.809484756472292
89	0.161648157001395	0.323296314002791	0.838351842998605
90	0.142859490000018	0.285718980000035	0.857140509999982
91	0.123835776003081	0.247671552006162	0.876164223996919
92	0.173889300055336	0.347778600110672	0.826110699944664
93	0.149476989016704	0.298953978033408	0.850523010983296
94	0.133958214901026	0.267916429802052	0.866041785098974
95	0.130862512000208	0.261725024000416	0.869137487999792
96	0.124934114468706	0.249868228937412	0.875065885531294
97	0.118107147735738	0.236214295471477	0.881892852264262
98	0.148147088460816	0.296294176921633	0.851852911539184
99	0.123285746211291	0.246571492422581	0.876714253788709
100	0.104838453223011	0.209676906446022	0.895161546776989
101	0.120136682935844	0.240273365871687	0.879863317064156
102	0.0992572249510406	0.198514449902081	0.900742775048959
103	0.0924430831120056	0.184886166224011	0.907556916887994
104	0.0744174418866138	0.148834883773228	0.925582558113386
105	0.0618691530786941	0.123738306157388	0.938130846921306
106	0.0674543459554475	0.134908691910895	0.932545654044552
107	0.0533134220820557	0.106626844164111	0.946686577917944
108	0.0445417190283133	0.0890834380566266	0.955458280971687
109	0.0346948228676696	0.0693896457353392	0.96530517713233
110	0.035908877990697	0.0718177559813939	0.964091122009303
111	0.0273141418797768	0.0546282837595536	0.972685858120223
112	0.031997162972626	0.0639943259452519	0.968002837027374
113	0.0281726572391815	0.056345314478363	0.971827342760819
114	0.0231307637793301	0.0462615275586601	0.97686923622067
115	0.0173828453758474	0.0347656907516948	0.982617154624153
116	0.0132290960580172	0.0264581921160344	0.986770903941983
117	0.0178820952083651	0.0357641904167302	0.982117904791635
118	0.0206557022305248	0.0413114044610497	0.979344297769475
119	0.0161244314097469	0.0322488628194938	0.983875568590253
120	0.0123303844698969	0.0246607689397937	0.987669615530103
121	0.010011072344648	0.020022144689296	0.989988927655352
122	0.00822264800627882	0.0164452960125576	0.991777351993721
123	0.00973729522760948	0.019474590455219	0.990262704772391
124	0.0172545879849031	0.0345091759698061	0.982745412015097
125	0.0182893018559252	0.0365786037118504	0.981710698144075
126	0.047964203751211	0.0959284075024221	0.952035796248789
127	0.0366051211015589	0.0732102422031179	0.963394878898441
128	0.0276672360636453	0.0553344721272905	0.972332763936355
129	0.0243389890568607	0.0486779781137213	0.975661010943139
130	0.0222610964956194	0.0445221929912388	0.977738903504381
131	0.0174942930951563	0.0349885861903126	0.982505706904844
132	0.0217551080174456	0.0435102160348912	0.978244891982554
133	0.0334648145965947	0.0669296291931893	0.966535185403405
134	0.0348629554248589	0.0697259108497178	0.965137044575141
135	0.03712668593611	0.07425337187222	0.96287331406389
136	0.0296668676392208	0.0593337352784416	0.970333132360779
137	0.028352293679842	0.0567045873596841	0.971647706320158
138	0.0209207376907905	0.0418414753815809	0.979079262309209
139	0.0218087430303767	0.0436174860607535	0.978191256969623
140	0.0156403668783604	0.0312807337567209	0.98435963312164
141	0.0494909987849912	0.0989819975699823	0.950509001215009
142	0.0536698412764726	0.107339682552945	0.946330158723527
143	0.039695700403215	0.07939140080643	0.960304299596785
144	0.356443129476228	0.712886258952456	0.643556870523772
145	0.362051588837381	0.724103177674763	0.637948411162619
146	0.636151056501302	0.727697886997396	0.363848943498698
147	0.560504973562306	0.878990052875388	0.439495026437694
148	0.58361871945631	0.83276256108738	0.41638128054369
149	0.47755051179823	0.95510102359646	0.52244948820177
150	0.429632751992988	0.859265503985975	0.570367248007012
151	0.301969814857969	0.603939629715938	0.698030185142031
152	0.426203568790617	0.852407137581234	0.573796431209383

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	7	0.048951048951049	NOK
5% type I error level	31	0.216783216783217	NOK
10% type I error level	48	0.335664335664336	NOK