Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 6.48873817201541 -0.00436018917442241t + 0.102753545911328Connected[t] + 0.531584117706553Software[t] -0.0888415627137958Depression[t] + 0.00750114279653458Belonging[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)	6.48873817201541	2.154797	3.0113	0.003035	0.001518
t	-0.00436018917442241	0.003212	-1.3575	0.176571	0.088286
Connected	0.102753545911328	0.04357	2.3584	0.019594	0.009797
Software	0.531584117706553	0.06886	7.7198	0	0
Depression	-0.0888415627137958	0.048702	-1.8242	0.070039	0.03502
Belonging	0.00750114279653458	0.014309	0.5242	0.600875	0.300437

Multiple Linear Regression - Regression Statistics
Multiple R	0.598229781698141
R-squared	0.357878871710605
Adjusted R-squared	0.337298066316714
F-TEST (value)	17.3889633987228
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	1.15907283770866e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83674329912701
Sum Squared Residuals	526.285647714523

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.4077445933349	-3.40774459333487
2	16	16.0026724696306	-0.00267246963065025
3	19	16.7833192940084	2.21668070599159
4	15	12.2826398596105	2.71736014038953
5	14	15.5755653528605	-1.57556535286054
6	13	14.893782706495	-1.89378270649502
7	19	15.2876607393277	3.71233926067231
8	15	17.0124891013679	-2.01248910136793
9	14	16.1943024745376	-2.19430247453764
10	15	12.8516687224869	2.14833127751309
11	16	15.365426666581	0.634573333418978
12	16	16.2088821765113	-0.208882176511276
13	16	15.8856529965179	0.114347003482112
14	16	15.4437889419071	0.556211058092913
15	17	17.5521479112317	-0.552147911231733
16	15	15.2773824310716	-0.277382431071638
17	15	14.7483876176705	0.251612382329491
18	20	16.3767423002282	3.62325769977182
19	18	15.8523656748555	2.1476343251445
20	16	15.3412820942912	0.65871790570879
21	16	15.4058974488618	0.594102551138179
22	16	15.2234791780791	0.776520821920878
23	19	16.645398600178	2.35460139982202
24	16	15.2096822439333	0.790317756066723
25	17	14.8392198832058	2.16078011679417
26	17	17.2993795253287	-0.299379525328657
27	16	14.9788115568642	1.02118844313579
28	15	16.3846529503511	-1.38465295035109
29	16	15.4734763736462	0.526523626353834
30	14	14.5150304869219	-0.515030486921882
31	15	15.7184590026367	-0.718459002636714
32	12	12.4486690699981	-0.448669069998096
33	14	15.1067398164601	-1.10673981646012
34	16	15.865960518606	0.134039481394023
35	14	15.6089057760386	-1.60890577603862
36	7	13.1628222916881	-6.16282229168815
37	10	11.1925094521354	-1.19250945213537
38	14	15.8676704346622	-1.8676704346622
39	16	14.2960560281056	1.70394397189436
40	16	14.8557091148234	1.14429088517656
41	16	15.1832032941681	0.816796705831856
42	14	15.4970440319004	-1.4970440319004
43	20	17.8739757570465	2.12602424295351
44	14	14.3553826797295	-0.355382679729482
45	14	15.0533272439715	-1.05332724397152
46	11	15.8241974760747	-4.82419747607475
47	14	16.7870377729838	-2.78703777298378
48	15	15.1030699213774	-0.103069921377372
49	16	15.0441029762852	0.955897023714785
50	14	16.1397013902917	-2.13970139029172
51	16	16.6483262953866	-0.648326295386627
52	14	14.1247576705481	-0.124757670548137
53	12	14.7981948947455	-2.7981948947455
54	16	15.8787910231589	0.121208976841066
55	9	11.6902766314474	-2.69027663144736
56	14	12.7399415831773	1.26005841682272
57	16	16.026749343758	-0.0267493437579635
58	16	15.2977119467497	0.702288053250296
59	15	15.5399613012248	-0.539961301224763
60	16	14.3317986605625	1.66820133943745
61	12	11.6471911476018	0.352808852398237
62	16	16.0135398430779	-0.0135398430779232
63	16	16.6613337056713	-0.661333705671295
64	14	14.3887488303023	-0.388748830302275
65	16	15.3280772448753	0.671922755124746
66	17	16.3307675574562	0.669232442543797
67	18	16.3226796564654	1.6773203435346
68	18	14.6037616518481	3.39623834815193
69	12	15.891914502903	-3.89191450290301
70	16	15.4327054241487	0.567294575851308
71	10	13.6841086790028	-3.68410867900277
72	14	14.2800280397862	-0.280028039786169
73	18	16.5588948223994	1.44110517760059
74	18	17.1420597914533	0.857940208546725
75	16	15.6871927624547	0.312807237545342
76	17	13.8611108768207	3.13888912317929
77	16	16.2356180149673	-0.235618014967274
78	16	14.496961558994	1.50303844100596
79	13	14.8230396052857	-1.82303960528567
80	16	15.9263012958481	0.0736987041519161
81	16	15.5207723675141	0.479227632485877
82	20	15.6487119276686	4.35128807233139
83	16	15.8352330640432	0.164766935956751
84	15	15.7848575641432	-0.784857564143164
85	15	14.727644384909	0.272355615090985
86	16	14.2431177752082	1.75688222479176
87	14	14.2059389122908	-0.20593891229084
88	16	15.326398052614	0.673601947385975
89	16	14.5319818497049	1.46801815029511
90	15	14.4367631899238	0.563236810076243
91	12	13.4542210486208	-1.45422104862079
92	17	16.8329284566806	0.167071543319429
93	16	15.4812717782231	0.518728221776951
94	15	15.0284735398697	-0.0284735398697246
95	13	15.1450582409372	-2.14505824093723
96	16	15.0162237127492	0.983776287250817
97	16	15.8743884005409	0.125611599459096
98	16	14.0499027474554	1.95009725254459
99	16	15.8683054316129	0.1316945683871
100	14	14.3383451261999	-0.338345126199856
101	16	17.0768426833196	-1.07684268331961
102	16	14.8194237904418	1.18057620955818
103	20	17.2840264905959	2.71597350940412
104	15	14.6886354965296	0.311364503470422
105	16	14.4403358960525	1.55966410394755
106	13	15.3377973870606	-2.33779738706061
107	17	15.8986717501462	1.10132824985382
108	16	15.7208586711541	0.279141328845915
109	16	14.6324687698892	1.36753123011082
110	12	12.3614637244714	-0.361463724471401
111	16	14.8376847947957	1.16231520520432
112	16	15.8503956818596	0.149604318140378
113	17	14.8144189354835	2.18558106451646
114	13	14.0796353556272	-1.0796353556272
115	12	14.6090268927126	-2.60902689271257
116	18	16.4521136100507	1.54788638994926
117	14	15.4413364168867	-1.44133641688672
118	14	13.0906690325492	0.909330967450792
119	13	14.9261727586418	-1.92617275864176
120	16	15.591639039175	0.408360960825015
121	13	14.2718858620621	-1.27188586206213
122	16	15.3790535207157	0.620946479284289
123	13	15.9264235797104	-2.92642357971037
124	16	17.0514879118242	-1.05148791182416
125	15	15.8155013047669	-0.815501304766882
126	16	16.7138091159621	-0.713809115962118
127	15	15.2225939644488	-0.222593964448821
128	17	15.9658842123654	1.03411578763455
129	15	13.7317332196153	1.26826678038474
130	12	14.7508549470802	-2.75085494708019
131	16	14.0768319850963	1.92316801490371
132	10	13.3559619515763	-3.35596195157628
133	16	13.960820158118	2.03917984188203
134	12	13.6811946980885	-1.68119469808855
135	14	15.5699890590442	-1.56998905904416
136	15	14.9341871572578	0.0658128427422208
137	13	11.9144543685913	1.08554563140874
138	15	14.4568680398909	0.54313196010912
139	11	13.2647161387682	-2.26471613876819
140	12	13.2301746852716	-1.23017468527163
141	8	13.2950485814273	-5.29504858142732
142	16	12.9270238039372	3.07297619606275
143	15	13.1184086736876	1.88159132631242
144	17	16.4962386017731	0.503761398226868
145	16	14.400785202515	1.59921479748498
146	10	13.9053098496951	-3.9053098496951
147	18	15.5504854626941	2.44951453730593
148	13	15.2166954920001	-2.21669549200006
149	16	15.0915213865559	0.908478613444067
150	13	13.0749346946924	-0.0749346946924006
151	10	13.0275715603938	-3.02757156039384
152	15	16.1345155907559	-1.13451559075586
153	16	13.8325139228027	2.1674860771973
154	16	12.0771313810751	3.92286861892491
155	14	12.4915450599276	1.5084549400724
156	10	12.4380296268131	-2.43802962681313
157	17	16.5495161603431	0.450483839656886
158	13	11.5512434328262	1.44875656717378
159	15	13.6009275443826	1.39907245561741
160	16	14.9626756903498	1.03732430965021
161	12	12.3584819918089	-0.358481991808894
162	13	12.6247948779367	0.3752051220633

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.962345995122267	0.075308009755465	0.0376540048777325
10	0.939661438538973	0.120677122922054	0.0603385614610268
11	0.917472019153719	0.165055961692562	0.0825279808462808
12	0.863347436575268	0.273305126849464	0.136652563424732
13	0.794716456878268	0.410567086243464	0.205283543121732
14	0.714983163009312	0.570033673981376	0.285016836990688
15	0.636174106756462	0.727651786487076	0.363825893243538
16	0.638339557619042	0.723320884761916	0.361660442380958
17	0.558185084589266	0.883629830821467	0.441814915410734
18	0.784885248757828	0.430229502484344	0.215114751242172
19	0.76140437635014	0.477191247299719	0.23859562364986
20	0.710258029999725	0.57948394000055	0.289741970000275
21	0.64198325883619	0.716033482327619	0.358016741163809
22	0.588209596617593	0.823580806764814	0.411790403382407
23	0.56510967854033	0.869780642919339	0.43489032145967
24	0.527354201864545	0.945291596270909	0.472645798135455
25	0.474400534071115	0.94880106814223	0.525599465928885
26	0.42405611115901	0.84811222231802	0.57594388884099
27	0.37721174880538	0.75442349761076	0.62278825119462
28	0.426243218934859	0.852486437869717	0.573756781065141
29	0.373608283285837	0.747216566571673	0.626391716714163
30	0.388227823075668	0.776455646151335	0.611772176924332
31	0.344540213271344	0.689080426542688	0.655459786728656
32	0.344190584926523	0.688381169853047	0.655809415073477
33	0.343574709436917	0.687149418873833	0.656425290563083
34	0.289661686708096	0.579323373416192	0.710338313291904
35	0.288645548567529	0.577291097135058	0.711354451432471
36	0.79635325696717	0.40729348606566	0.20364674303283
37	0.775585805574695	0.44882838885061	0.224414194425305
38	0.75938304789451	0.48123390421098	0.24061695210549
39	0.795327602391001	0.409344795217998	0.204672397608999
40	0.781118303238983	0.437763393522034	0.218881696761017
41	0.751812045829555	0.496375908340889	0.248187954170445
42	0.728152852972958	0.543694294054084	0.271847147027042
43	0.749167322850824	0.501665354298351	0.250832677149176
44	0.707745473698677	0.584509052602646	0.292254526301323
45	0.675038146201999	0.649923707596002	0.324961853798001
46	0.857934104365573	0.284131791268854	0.142065895634427
47	0.870967641816412	0.258064716367177	0.129032358183588
48	0.847552614341593	0.304894771316813	0.152447385658407
49	0.834764245656634	0.330471508686731	0.165235754343366
50	0.828553370866827	0.342893258266347	0.171446629133173
51	0.800111657762479	0.399776684475043	0.199888342237521
52	0.767302014958487	0.465395970083026	0.232697985041513
53	0.786912778513274	0.426174442973452	0.213087221486726
54	0.759315037266326	0.481369925467347	0.240684962733674
55	0.782989567621521	0.434020864756957	0.217010432378479
56	0.778079420352941	0.443841159294118	0.221920579647059
57	0.743995249185232	0.512009501629535	0.256004750814768
58	0.734940074176573	0.530119851646855	0.265059925823427
59	0.699065131833845	0.60186973633231	0.300934868166155
60	0.705692997776276	0.588614004447448	0.294307002223724
61	0.667880530888707	0.664238938222587	0.332119469111293
62	0.626212749473666	0.747574501052669	0.373787250526334
63	0.585817281889554	0.828365436220893	0.414182718110446
64	0.544410342560574	0.911179314878852	0.455589657439426
65	0.511453880915994	0.977092238168012	0.488546119084006
66	0.479884926569263	0.959769853138525	0.520115073430737
67	0.474562812587721	0.949125625175443	0.525437187412279
68	0.598035488964676	0.803929022070648	0.401964511035324
69	0.734822572472735	0.530354855054529	0.265177427527265
70	0.7006066509438	0.598786698112401	0.2993933490562
71	0.810037850070204	0.379924299859593	0.189962149929796
72	0.780787366198744	0.438425267602513	0.219212633801256
73	0.768496971319593	0.463006057360814	0.231503028680407
74	0.74329036914057	0.51341926171886	0.25670963085943
75	0.706674735557166	0.586650528885668	0.293325264442834
76	0.765694684425592	0.468610631148816	0.234305315574408
77	0.729718188762273	0.540563622475455	0.270281811237727
78	0.712681495772831	0.574637008454338	0.287318504227169
79	0.716007985620771	0.567984028758459	0.283992014379229
80	0.682971623718134	0.634056752563733	0.317028376281866
81	0.643709330450795	0.712581339098409	0.356290669549205
82	0.805167952985333	0.389664094029335	0.194832047014667
83	0.772185933768993	0.455628132462014	0.227814066231007
84	0.744224095020426	0.511551809959148	0.255775904979574
85	0.706512850005916	0.586974299988168	0.293487149994084
86	0.696161908278259	0.607676183443481	0.303838091721741
87	0.656009935411783	0.687980129176435	0.343990064588217
88	0.616087147157088	0.767825705685824	0.383912852842912
89	0.595847441264429	0.808305117471142	0.404152558735571
90	0.558499213132581	0.883001573734838	0.441500786867419
91	0.547088490532785	0.90582301893443	0.452911509467215
92	0.505730900568467	0.988538198863066	0.494269099431533
93	0.461721226845611	0.923442453691221	0.538278773154389
94	0.415500679210935	0.83100135842187	0.584499320789065
95	0.445732834146618	0.891465668293236	0.554267165853382
96	0.40823495307089	0.81646990614178	0.59176504692911
97	0.365572056992035	0.73114411398407	0.634427943007965
98	0.359503191014708	0.719006382029416	0.640496808985292
99	0.316052697102866	0.632105394205732	0.683947302897134
100	0.280639170892492	0.561278341784983	0.719360829107508
101	0.255130399878156	0.510260799756312	0.744869600121844
102	0.232862119639098	0.465724239278197	0.767137880360902
103	0.282053172333189	0.564106344666379	0.717946827666811
104	0.243109040378925	0.48621808075785	0.756890959621075
105	0.235392948251355	0.47078589650271	0.764607051748645
106	0.248530233840479	0.497060467680957	0.751469766159521
107	0.227301908090066	0.454603816180132	0.772698091909934
108	0.202809513790382	0.405619027580764	0.797190486209618
109	0.19964335057118	0.399286701142361	0.80035664942882
110	0.196405074039595	0.392810148079191	0.803594925960404
111	0.181518673481943	0.363037346963885	0.818481326518057
112	0.158188295124678	0.316376590249356	0.841811704875322
113	0.181713093755729	0.363426187511457	0.818286906244271
114	0.155420349104482	0.310840698208964	0.844579650895518
115	0.1633101478364	0.326620295672799	0.8366898521636
116	0.174390791631358	0.348781583262716	0.825609208368642
117	0.151533886485399	0.303067772970798	0.848466113514601
118	0.140141273289022	0.280282546578045	0.859858726710978
119	0.135701831088382	0.271403662176764	0.864298168911618
120	0.143518536766508	0.287037073533017	0.856481463233492
121	0.119958820746599	0.239917641493198	0.880041179253401
122	0.113322284498259	0.226644568996517	0.886677715501741
123	0.11683943980364	0.23367887960728	0.88316056019636
124	0.0954327933385602	0.19086558667712	0.90456720666144
125	0.0752460386314858	0.150492077262972	0.924753961368514
126	0.0580602658967057	0.116120531793411	0.941939734103294
127	0.043615865560923	0.0872317311218459	0.956384134439077
128	0.0456702052513357	0.0913404105026713	0.954329794748664
129	0.0443321045742703	0.0886642091485405	0.95566789542573
130	0.0438200030794553	0.0876400061589106	0.956179996920545
131	0.0480526615074655	0.096105323014931	0.951947338492535
132	0.0577949169953048	0.11558983399061	0.942205083004695
133	0.121663030702838	0.243326061405675	0.878336969297162
134	0.122584747469886	0.245169494939771	0.877415252530114
135	0.0972341395698292	0.194468279139658	0.902765860430171
136	0.0788835010517714	0.157767002103543	0.921116498948229
137	0.0714068481803203	0.142813696360641	0.92859315181968
138	0.0664261941705552	0.13285238834111	0.933573805829445
139	0.0699866673043167	0.139973334608633	0.930013332695683
140	0.05117567984567	0.10235135969134	0.94882432015433
141	0.570893349971801	0.858213300056398	0.429106650028199
142	0.5222644296013	0.9554711407974	0.4777355703987
143	0.477657091197774	0.955314182395549	0.522342908802225
144	0.395562453355253	0.791124906710505	0.604437546644747
145	0.327516946653602	0.655033893307204	0.672483053346398
146	0.353245591166955	0.70649118233391	0.646754408833045
147	0.400104926357315	0.80020985271463	0.599895073642685
148	0.569590546586404	0.860818906827192	0.430409453413596
149	0.461953245789822	0.923906491579643	0.538046754210178
150	0.375756273450035	0.75151254690007	0.624243726549965
151	0.787729292802554	0.424541414394893	0.212270707197446
152	0.768400710372001	0.463198579255998	0.231599289627999
153	0.619934008537988	0.760131982924025	0.380065991462012

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	0	0	OK
10% type I error level	6	0.0413793103448276	OK