Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.75162899505497 + 0.115277436449707Connected[t] -0.0237127470059973Separate[t] + 0.545447305595596Software[t] + 0.0629073129849922Happiness[t] -0.0768312591878517Depression[t] + 0.00135058357917087Belonging[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)	5.75162899505497	2.577192	2.2317	0.027066	0.013533
Connected	0.115277436449707	0.046815	2.4624	0.014897	0.007448
Separate	-0.0237127470059973	0.044607	-0.5316	0.595773	0.297887
Software	0.545447305595596	0.068787	7.9295	0	0
Happiness	0.0629073129849922	0.076199	0.8256	0.410317	0.205159
Depression	-0.0768312591878517	0.055851	-1.3756	0.170915	0.085457
Belonging	0.00135058357917087	0.014396	0.0938	0.925377	0.462689

Multiple Linear Regression - Regression Statistics
Multiple R	0.594915101616055
R-squared	0.353923978130841
Adjusted R-squared	0.328914583735905
F-TEST (value)	14.1516412809466
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	8.11350986396064e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84832460845271
Sum Squared Residuals	529.527098022837

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.1525953716439	-3.15259537164395
2	16	15.8918994444254	0.108100555574641
3	19	16.2671968577005	2.73280314229953
4	15	11.7387944527417	3.26120554725832
5	14	15.3802100846978	-1.38021008469782
6	13	14.8688447062277	-1.86884470622771
7	19	15.319717135908	3.68028286409202
8	15	16.5972704375246	-1.59727043752463
9	14	15.8922785169367	-1.89227851693667
10	15	12.4359412683896	2.56405873161041
11	16	15.2593573105347	0.740642689465284
12	16	16.2942713626749	-0.294271362674917
13	16	15.4146864439177	0.585313556082336
14	16	15.3500958843224	0.649904115677633
15	17	17.3416421558465	-0.341642155846535
16	15	15.0867525781467	-0.0867525781466997
17	15	14.5036403806062	0.496359619393762
18	20	16.1195866857086	3.88041331429139
19	18	15.5451121308955	2.4548878691045
20	16	15.3117606267314	0.688239373268638
21	16	15.3415580074394	0.658441992560599
22	16	14.8436845325457	1.15631546745428
23	19	16.4688383879193	2.53116161208072
24	16	14.8469001796353	1.15309982036467
25	17	14.7380975202492	2.26190247975083
26	17	16.7927421285517	0.207257871448289
27	16	14.790161126701	1.20983887329904
28	15	16.1360987979466	-1.13609879794664
29	16	15.2919489991648	0.708051000835184
30	14	14.1266774123003	-0.126677412300335
31	15	15.629722637378	-0.629722637377981
32	12	12.2071480140323	-0.207148014032253
33	14	15.1332752054516	-1.13327520545164
34	16	15.5509727266291	0.449027273370886
35	14	15.4868862885187	-1.48688628851869
36	7	12.963875817795	-5.96387581779504
37	10	10.7468907270798	-0.746890727079784
38	14	15.7819897418354	-1.78198974183544
39	16	14.2178086317498	1.78219136825016
40	16	14.6009644194419	1.39903558055808
41	16	15.064630842401	0.935369157598975
42	14	15.466081997862	-1.466081997862
43	20	18.0198717074181	1.98012829258186
44	14	14.2077721488596	-0.20777214885962
45	14	14.9256218916482	-0.925621891648186
46	11	15.5173294224078	-4.51732942240782
47	14	16.638105714383	-2.638105714383
48	15	14.9492309733893	0.0507690266107342
49	16	15.0173513003538	0.982648699646196
50	14	15.9926763292754	-1.99267632927541
51	16	16.5111312871377	-0.511131287137688
52	14	14.079151460186	-0.0791514601860379
53	12	14.5974585203362	-2.59745852033617
54	16	15.6237787299584	0.376221270041578
55	9	11.403766255473	-2.40376625547295
56	14	12.6550490096134	1.34495099038657
57	16	16.0942371087132	-0.0942371087132206
58	16	15.1764263829284	0.82357361707163
59	15	15.2483233782506	-0.248323378250632
60	16	14.1315386470908	1.86846135290915
61	12	11.4023405613664	0.597659438633623
62	16	15.8711207432339	0.128879256766098
63	16	16.3513782356503	-0.351378235650284
64	14	14.3704988406144	-0.370498840614378
65	16	15.4990691829143	0.500930817085732
66	17	15.8917585694328	1.10824143056723
67	18	16.1829203932396	1.81707960676044
68	18	14.501133527781	3.49886647221904
69	12	15.8741968943214	-3.87419689432137
70	16	15.4154976318277	0.584502368172297
71	10	13.614476244845	-3.61447624484496
72	14	14.3510451335369	-0.35104513353686
73	18	16.4367275746951	1.5632724253049
74	18	17.0646986010954	0.935301398904567
75	16	15.6622855707191	0.337714429280898
76	17	13.8482328743584	3.15176712564163
77	16	16.3954962790597	-0.395496279059719
78	16	14.5407409682848	1.45925903171516
79	13	14.838467986537	-1.83846798653696
80	16	16.1212628910688	-0.1212628910688
81	16	15.4526551192896	0.54734488071045
82	20	15.9398993478699	4.06010065213015
83	16	15.8023550949253	0.197644905074697
84	15	15.9628756584285	-0.962875658428485
85	15	14.7530705270142	0.246929472985806
86	16	14.2610532446093	1.73894675539069
87	14	14.1624972910409	-0.162497291040919
88	16	15.346836205337	0.653163794663008
89	16	14.619492109314	1.38050789068595
90	15	14.1632357531487	0.836764246851301
91	12	13.5498069357226	-1.54980693572261
92	17	17.0627760812488	-0.0627760812487845
93	16	15.4082825716249	0.591717428375067
94	15	15.1608990598889	-0.160899059888935
95	13	15.0861890723237	-2.08618907232374
96	16	15.1176830233608	0.882316976639236
97	16	15.896540847004	0.103459152995973
98	16	14.101173913868	1.898826086132
99	16	16.0897061522287	-0.0897061522286984
100	14	14.319262580099	-0.319262580098991
101	16	17.3185310471496	-1.3185310471496
102	16	14.8110485701295	1.18895142987048
103	20	17.4052961536916	2.59470384630837
104	15	14.712445514823	0.287554485176965
105	16	14.4519132767367	1.5480867232633
106	13	15.3474977916778	-2.34749779167784
107	17	16.1116106107916	0.888389389208438
108	16	15.9087754052966	0.0912245947034114
109	16	14.6211266788934	1.37887332110657
110	12	12.378004281293	-0.378004281292986
111	16	14.9278062771264	1.07219372287362
112	16	15.8184258920121	0.18157410798791
113	17	14.5597072684568	2.44029273154318
114	13	14.4374623417798	-1.43746234177984
115	12	14.9781346769388	-2.97813467693879
116	18	16.703255815935	1.296744184065
117	14	15.5760857568333	-1.57608575683334
118	14	13.0625672617597	0.937432738240347
119	13	15.008169930299	-2.00816993029895
120	16	15.6736663711726	0.326333628827435
121	13	14.3536835015023	-1.3536835015023
122	16	15.6835094337536	0.316490566246352
123	13	15.9714098963118	-2.9714098963118
124	16	17.1836760090936	-1.18367600909362
125	15	16.1085626584401	-1.10856265844011
126	16	16.8037657782249	-0.803765778224931
127	15	15.519440937725	-0.519440937725008
128	17	16.3000143408847	0.699985659115279
129	15	14.0706436216011	0.929356378398927
130	12	15.0457843241815	-3.04578432418146
131	16	14.1810020180633	1.81899798193671
132	10	13.3391888223396	-3.33918882233957
133	16	14.1282252970786	1.87177470292137
134	12	14.0315864701719	-2.0315864701719
135	14	15.7827551939927	-1.78275519399268
136	15	15.3398321980408	-0.339832198040774
137	13	12.3645355266647	0.63546447333527
138	15	14.7311875693344	0.268812430665622
139	11	13.3700908083967	-2.37009080839674
140	12	13.528587510131	-1.52858751013101
141	8	13.3933193556598	-5.3933193556598
142	16	13.246080624178	2.75391937582196
143	15	13.3570728404829	1.64292715951707
144	17	16.6365929866146	0.363407013385434
145	16	14.9053862255263	1.09461377447369
146	10	14.2727848358618	-4.2727848358618
147	18	16.078264014549	1.92173598545096
148	13	15.3675345703188	-2.36753457031875
149	16	15.2618171445982	0.73818285540183
150	13	13.1415216105384	-0.141521610538375
151	10	13.2248470878143	-3.22484708781428
152	15	16.4250844248294	-1.42508442482942
153	16	14.0899303076678	1.9100696923322
154	16	12.0643806344004	3.93561936559963
155	14	12.5432464766141	1.4567535233859
156	10	12.724445608073	-2.72444560807304
157	17	17.0627760812488	-0.0627760812487845
158	13	11.73407417592	1.26592582407998
159	15	14.0706436216011	0.929356378398927
160	16	15.1519370484692	0.848062951530776
161	12	12.4595133720894	-0.459513372089375
162	13	12.8626665756559	0.137333424344077

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.411798938313739	0.823597876627478	0.588201061686261
11	0.284282648147514	0.568565296295029	0.715717351852486
12	0.839457607102895	0.32108478579421	0.160542392897105
13	0.766140216197938	0.467719567604125	0.233859783802062
14	0.702444014561946	0.595111970876109	0.297555985438054
15	0.716100101913087	0.567799796173825	0.283899898086912
16	0.683394768773295	0.63321046245341	0.316605231226705
17	0.60229968778352	0.79540062443296	0.39770031221648
18	0.884399483115377	0.231201033769245	0.115600516884623
19	0.889831080294848	0.220337839410305	0.110168919705152
20	0.85174217482498	0.296515650350041	0.14825782517502
21	0.809950697185767	0.380098605628466	0.190049302814233
22	0.756231691600895	0.48753661679821	0.243768308399105
23	0.776182808264781	0.447634383470438	0.223817191735219
24	0.726388224513645	0.547223550972711	0.273611775486355
25	0.71112922828689	0.57774154342622	0.28887077171311
26	0.651998732796207	0.696002534407586	0.348001267203793
27	0.59251627893026	0.81496744213948	0.40748372106974
28	0.567247611357753	0.865504777284493	0.432752388642247
29	0.502874717280901	0.994250565438197	0.497125282719099
30	0.480296005192826	0.960592010385651	0.519703994807174
31	0.420038794951703	0.840077589903407	0.579961205048297
32	0.399609342349112	0.799218684698224	0.600390657650888
33	0.37552458182339	0.751049163646779	0.62447541817661
34	0.319124871402999	0.638249742805999	0.680875128597001
35	0.303696978344444	0.607393956688888	0.696303021655556
36	0.828205674188283	0.343588651623433	0.171794325811717
37	0.817924195424797	0.364151609150406	0.182075804575203
38	0.816186120054597	0.367627759890806	0.183813879945403
39	0.834517879023749	0.330964241952501	0.165482120976251
40	0.815351782784916	0.369296434430168	0.184648217215084
41	0.784929506786589	0.430140986426821	0.215070493213411
42	0.771699713279741	0.456600573440519	0.228300286720259
43	0.780947039668567	0.438105920662865	0.219052960331433
44	0.744567690025805	0.51086461994839	0.255432309974195
45	0.71456954152608	0.570860916947839	0.28543045847392
46	0.896013015160298	0.207973969679404	0.103986984839702
47	0.918129750007711	0.163740499984579	0.0818702499922895
48	0.897013484479573	0.205973031040853	0.102986515520427
49	0.876523206510379	0.246953586979241	0.123476793489621
50	0.877649794078546	0.244700411842909	0.122350205921454
51	0.851488316194984	0.297023367610031	0.148511683805016
52	0.820482442924543	0.359035114150914	0.179517557075457
53	0.847077815708756	0.305844368582489	0.152922184291244
54	0.817068221222866	0.365863557554268	0.182931778777134
55	0.834907693069717	0.330184613860566	0.165092306930283
56	0.815074027707551	0.369851944584898	0.184925972292449
57	0.782334787395676	0.435330425208649	0.217665212604324
58	0.759043317613547	0.481913364772906	0.240956682386453
59	0.720673479610166	0.558653040779669	0.279326520389834
60	0.716369209088932	0.567261581822136	0.283630790911068
61	0.678498126910739	0.643003746178521	0.321501873089261
62	0.634197965417413	0.731604069165174	0.365802034582587
63	0.589982006459739	0.820035987080522	0.410017993540261
64	0.544572009371005	0.910855981257989	0.455427990628995
65	0.501295268544507	0.997409462910986	0.498704731455493
66	0.471074053153397	0.942148106306794	0.528925946846603
67	0.462663580759335	0.925327161518671	0.537336419240665
68	0.589264248455907	0.821471503088185	0.410735751544093
69	0.727585997709113	0.544828004581774	0.272414002290887
70	0.690809500907825	0.61838099818435	0.309190499092175
71	0.789058335632314	0.421883328735371	0.210941664367686
72	0.754271518697154	0.491456962605692	0.245728481302846
73	0.742484739418942	0.515030521162116	0.257515260581058
74	0.715533914229769	0.568932171540462	0.284466085770231
75	0.675665580399336	0.648668839201327	0.324334419600664
76	0.739381987520976	0.521236024958049	0.260618012479024
77	0.702037021018973	0.595925957962054	0.297962978981027
78	0.685821217102917	0.628357565794165	0.314178782897083
79	0.688525040721989	0.622949918556023	0.311474959278011
80	0.646420662658891	0.707158674682219	0.353579337341109
81	0.605721192117556	0.788557615764888	0.394278807882444
82	0.77147049909208	0.45705900181584	0.22852950090792
83	0.735447202364997	0.529105595270007	0.264552797635003
84	0.705644777665317	0.588710444669366	0.294355222334683
85	0.665022592272473	0.669954815455054	0.334977407727527
86	0.659295978677619	0.681408042644762	0.340704021322381
87	0.615509639802385	0.76898072039523	0.384490360197615
88	0.576451648574883	0.847096702850234	0.423548351425117
89	0.559692666018659	0.880614667962682	0.440307333981341
90	0.526277085271504	0.947445829456991	0.473722914728496
91	0.509935824353981	0.980128351292038	0.490064175646019
92	0.472133314679321	0.944266629358642	0.527866685320679
93	0.430851154315229	0.861702308630458	0.569148845684771
94	0.386725171353457	0.773450342706915	0.613274828646543
95	0.399781125318901	0.799562250637801	0.600218874681099
96	0.36606336990694	0.732126739813879	0.63393663009306
97	0.327395288799246	0.654790577598491	0.672604711200754
98	0.328780812212656	0.657561624425313	0.671219187787344
99	0.287190657034182	0.574381314068364	0.712809342965818
100	0.249938540886113	0.499877081772226	0.750061459113887
101	0.226315658915587	0.452631317831175	0.773684341084413
102	0.210940508716088	0.421881017432176	0.789059491283912
103	0.257803655713666	0.515607311427332	0.742196344286334
104	0.221243993445563	0.442487986891126	0.778756006554437
105	0.216162438234592	0.432324876469185	0.783837561765408
106	0.227430168710114	0.454860337420228	0.772569831289886
107	0.206107095437425	0.41221419087485	0.793892904562575
108	0.184396484738566	0.368792969477132	0.815603515261434
109	0.177984849704643	0.355969699409287	0.822015150295357
110	0.168485017268412	0.336970034536824	0.831514982731588
111	0.15023958059338	0.30047916118676	0.84976041940662
112	0.125965881937824	0.251931763875648	0.874034118062176
113	0.145736426379949	0.291472852759899	0.854263573620051
114	0.126692994913728	0.253385989827457	0.873307005086271
115	0.159915735968213	0.319831471936426	0.840084264031787
116	0.151401027984168	0.302802055968337	0.848598972015832
117	0.131397920711535	0.262795841423069	0.868602079288465
118	0.113850617754312	0.227701235508624	0.886149382245688
119	0.117600914192298	0.235201828384595	0.882399085807702
120	0.110639350903284	0.221278701806568	0.889360649096716
121	0.0936515943763241	0.187303188752648	0.906348405623676
122	0.0756000628814324	0.151200125762865	0.924399937118568
123	0.0841702682096707	0.168340536419341	0.915829731790329
124	0.0684762024393278	0.136952404878656	0.931523797560672
125	0.0559265953340086	0.111853190668017	0.944073404665991
126	0.0428057031953049	0.0856114063906098	0.957194296804695
127	0.0325141599734004	0.0650283199468008	0.9674858400266
128	0.0268076249926408	0.0536152499852816	0.973192375007359
129	0.0208367579486603	0.0416735158973206	0.97916324205134
130	0.0282287277256231	0.0564574554512461	0.971771272274377
131	0.0244298287586423	0.0488596575172847	0.975570171241358
132	0.0359085715885817	0.0718171431771634	0.964091428411418
133	0.0400126372746289	0.0800252745492577	0.959987362725371
134	0.0510956497276094	0.102191299455219	0.948904350272391
135	0.0410390766425623	0.0820781532851246	0.958960923357438
136	0.0288480365869218	0.0576960731738437	0.971151963413078
137	0.0198062341161403	0.0396124682322806	0.98019376588386
138	0.0132487934682993	0.0264975869365987	0.986751206531701
139	0.024135282622185	0.04827056524437	0.975864717377815
140	0.0209469162929983	0.0418938325859965	0.979053083707002
141	0.534563538312447	0.930872923375107	0.465436461687553
142	0.473471687354814	0.946943374709629	0.526528312645186
143	0.409593835585823	0.819187671171646	0.590406164414177
144	0.351787957087139	0.703575914174277	0.648212042912861
145	0.294580809267112	0.589161618534224	0.705419190732888
146	0.295019522480151	0.590039044960302	0.704980477519849
147	0.323190202756899	0.646380405513799	0.676809797243101
148	0.793008953000657	0.413982093998686	0.206991046999343
149	0.735037700222117	0.529924599555765	0.264962299777883
150	0.616146171131341	0.767707657737317	0.383853828868659
151	0.847437479206443	0.305125041587114	0.152562520793557
152	0.848030526562835	0.303938946874331	0.151969473437165

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	6	0.041958041958042	OK
10% type I error level	14	0.0979020979020979	OK