Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 7.02339996521227 -0.00404340643189375t + 0.104338976442402Connected[t] + 0.532415969150616Software[t] -0.0961299660096882Depression[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)	7.02339996521227	1.893738	3.7088	0.000288	0.000144
t	-0.00404340643189375	0.003147	-1.2848	0.200765	0.100383
Connected	0.104338976442402	0.043364	2.4061	0.017285	0.008642
Software	0.532415969150616	0.068683	7.7518	0	0
Depression	-0.0961299660096882	0.046568	-2.0643	0.040634	0.020317

Multiple Linear Regression - Regression Statistics
Multiple R	0.597283647877422
R-squared	0.35674775602176
Adjusted R-squared	0.340359163818493
F-TEST (value)	21.7680537533076
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	2.63122856836162e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.83249632340132
Sum Squared Residuals	527.212715718857

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.53268663061	-3.53268663060999
2	16	15.8836792681523	0.116320731847656
3	19	16.7818590523122	2.21814094768777
4	15	12.2826708319866	2.71732916801342
5	14	15.453386444849	-1.453386444849
6	13	14.8216038014949	-1.82160380149486
7	19	15.3384485790369	3.66155142096308
8	15	16.9349718548008	-1.93497185480082
9	14	16.1709044289622	-2.17090442896219
10	15	12.7883142860399	2.21168571396006
11	16	15.306663630682	0.693336369318029
12	16	16.3510341416859	-0.351034141685882
13	16	15.882758926071	0.117241073929026
14	16	15.5467684929406	0.453231507059446
15	17	17.4308749684955	-0.430874968495467
16	15	15.3407248141306	-0.340724814130572
17	15	14.6892053751671	0.310794624832947
18	20	16.2470617579503	3.75293824204974
19	18	15.9110713248198	2.08892867518016
20	16	15.4206811544127	0.579318845587315
21	16	15.4610015748883	0.538998425111695
22	16	15.2121253990968	0.787874600903192
23	19	16.7674697053741	2.23253029462588
24	16	15.2976564757368	0.702343524263186
25	17	14.7258489819176	2.27415101808244
26	17	17.2524073369923	-0.252407336992304
27	16	14.9371612088772	1.06283879112282
28	15	16.3652448856818	-1.36524488568179
29	16	15.3924995069584	0.607500493041645
30	14	14.5240931046773	-0.524093104677319
31	15	15.6563845712582	-0.656384571258205
32	12	12.5285415863961	-0.528541586396114
33	14	15.1133697127379	-1.11336971273791
34	16	15.7650113492704	0.234988650729648
35	14	15.5687080108191	-1.56870801081908
36	7	13.1745566357977	-6.17455663579775
37	10	11.1715207387718	-1.17152073877178
38	14	15.8613857104179	-1.86138571041789
39	16	14.2543974626073	1.74560253739267
40	16	14.8763879148298	1.12361208517015
41	16	15.1771524272924	0.822847572707555
42	14	15.4442741997861	-1.44427419978614
43	20	18.0316144026338	1.96838559736617
44	14	14.4756944250635	-0.47569442506352
45	14	15.0730578459879	-1.07305784598789
46	11	15.8372474693955	-4.83724746939546
47	14	16.8544788725953	-2.85447887259533
48	15	15.0716487136308	-0.0716487136308224
49	16	14.9961023724874	1.00389762751262
50	14	16.1176727521297	-2.11767275212966
51	16	16.6485573913543	-0.648557391354275
52	14	14.1303302442812	-0.130330244281166
53	12	14.8065989121118	-2.80659891211175
54	16	15.928169291754	0.0718307082459716
55	9	11.7445100772615	-2.74451007726147
56	14	12.6984475561825	1.30155244381749
57	16	16.0014479515294	-0.00144795152942706
58	16	15.3385346447123	0.661465355287729
59	15	15.5406571146593	-0.540657114659285
60	16	14.3148699561435	1.68513004385647
61	12	11.7112339299993	0.288766070000657
62	16	15.9730219089372	0.026978091062755
63	16	16.616454535037	-0.616454535036977
64	14	14.5098863598067	-0.509886359806655
65	16	15.4474058178623	0.55259418213773
66	17	16.2723772890428	0.727622710957231
67	18	16.3283090321458	1.67169096785424
68	18	14.5816336896561	3.41836631034395
69	12	15.9529270743467	-3.9529270743467
70	16	15.4353977961355	0.564602203864486
71	10	13.7108374084381	-3.71083740843805
72	14	14.3814091423418	-0.381409142341817
73	18	16.4798905047084	1.52010949529165
74	18	17.1815929020751	0.818407097924872
75	16	15.5992316855627	0.400768314437292
76	17	13.7505955258135	3.24940447418653
77	16	16.2443178391574	-0.244317839157365
78	16	14.4779057010583	1.52209429894172
79	13	14.7647642691613	-1.76476426916135
80	16	16.0842915147498	-0.0842915147498202
81	16	15.4706322705289	0.529367729471056
82	20	15.9800747358763	4.01992526412366
83	16	15.8634833425693	0.136516657430664
84	15	15.7797279909932	-0.779727990993181
85	15	14.7215737331987	0.278426266801336
86	16	14.1933233680489	1.80667663195113
87	14	14.1785588746784	-0.178558874678366
88	16	15.346198459496	0.653801540504
89	16	14.6364092492654	1.36359075073456
90	15	14.3768119865353	0.623188013464669
91	12	13.432012413854	-1.43201241385398
92	17	16.9518997725184	0.0481002274815878
93	16	15.4385294142116	0.561470585788354
94	15	14.9292091464332	0.0707908535668285
95	13	15.0927986407225	-2.09279864072251
96	16	14.9711830944037	1.02881690559628
97	16	15.8750598124904	0.124940187509575
98	16	14.0133244066197	1.98667559338029
99	16	15.8152068605245	0.184793139475537
100	14	14.320766599589	-0.320766599589018
101	16	17.072420928414	-1.072420928414
102	16	14.7900108420297	1.20998915797027
103	20	17.1958121997966	2.80418780020335
104	15	14.7408789770024	0.259121022997629
105	16	14.3605247169644	1.63947528303556
106	13	15.3308802167509	-2.33088021675091
107	17	15.8871985855117	1.11280141448829
108	16	15.7155222783586	0.284477721641416
109	16	14.7534979865738	1.24650201342624
110	12	12.484993844549	-0.484993844549016
111	16	14.7479232502159	1.25207674978414
112	16	15.8169207925179	0.183079207482086
113	17	14.7044883191153	2.29551168088467
114	13	14.3159250486447	-1.31592504864468
115	12	14.5895504533032	-2.58955045330324
116	18	16.3750148863426	1.62498511365743
117	14	15.5690957101023	-1.56909571010232
118	14	13.1034414003694	0.896558599630562
119	13	14.9768267889857	-1.97682678898574
120	16	15.4501144378583	0.549885562141657
121	13	14.3919601800638	-1.39196018006383
122	16	15.340200725058	0.659799274941951
123	13	15.8225040826014	-2.82250408260141
124	16	17.0673435360574	-1.06734353605742
125	15	15.8251383566762	-0.825138356676235
126	16	16.6772489356608	-0.67724893566077
127	15	15.1342273930441	-0.134227393044074
128	17	15.9920349059554	1.00796509404457
129	15	13.6793008543462	1.3206991456538
130	12	14.756507407081	-2.75650740708096
131	16	14.0992910341906	1.90070896580938
132	10	13.3451379970525	-3.34513799705255
133	16	13.9572140605745	2.0427859394255
134	12	13.7133620377948	-1.7133620377948
135	14	15.5735142629666	-1.5735142629666
136	15	14.8555160423033	0.144483957696678
137	13	11.9716991285628	1.02830087143722
138	15	14.5236912131737	0.476308786826278
139	11	13.3776159998022	-2.37761599980223
140	12	13.3110853673296	-1.31108536732955
141	8	13.325972058269	-5.32597205826898
142	16	13.0861115911482	2.91388840885175
143	15	13.0212863369434	1.97871366305658
144	17	16.4039986774346	0.596001322565408
145	16	14.3746303708426	1.62536962915736
146	10	13.8085198109502	-3.8085198109502
147	18	15.5357144727225	2.46428552727752
148	13	15.3204810368999	-2.32048103689989
149	16	15.0913416567178	0.908658343282232
150	13	13.0340275440837	-0.0340275440837263
151	10	12.9510788907456	-2.95107889074562
152	15	16.0782373749386	-1.07823737493859
153	16	13.8788580084425	2.12114199155747
154	16	12.0935157729721	3.90648422702788
155	14	12.4813945427736	1.51860545722636
156	10	12.3648031494666	-2.36480314946663
157	17	16.6890783544453	0.310921645554682
158	13	11.572065285898	1.42793471410203
159	15	13.5579986613894	1.44200133861062
160	16	14.9153861017205	1.0846138982795
161	12	12.2402471408648	-0.240247140864763
162	13	12.637141619337	0.362858380662951

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.969709844322742	0.0605803113545167	0.0302901556772583
9	0.9388584225896	0.122283154820799	0.0611415774103997
10	0.909977402687418	0.180045194625163	0.0900225973125817
11	0.885154630376736	0.229690739246528	0.114845369623264
12	0.83250470126517	0.33499059746966	0.16749529873483
13	0.760481499441257	0.479037001117486	0.239518500558743
14	0.67702854018245	0.6459429196351	0.32297145981755
15	0.588281316683998	0.823437366632003	0.411718683316002
16	0.568759106340392	0.862481787319215	0.431240893659608
17	0.494040089661686	0.988080179323372	0.505959910338314
18	0.739218762177385	0.521562475645229	0.260781237822615
19	0.710869725701992	0.578260548596016	0.289130274298008
20	0.662800102389243	0.674399795221515	0.337199897610757
21	0.593679204855881	0.812641590288237	0.406320795144119
22	0.539389069930892	0.921221860138216	0.460610930069108
23	0.510239223430523	0.979521553138953	0.489760776569477
24	0.476113454486543	0.952226908973086	0.523886545513457
25	0.427514025902672	0.855028051805344	0.572485974097328
26	0.376116352046439	0.752232704092879	0.623883647953561
27	0.331354018126025	0.66270803625205	0.668645981873975
28	0.379162652472479	0.758325304944958	0.620837347527521
29	0.329476330922241	0.658952661844483	0.670523669077759
30	0.345482787159734	0.690965574319468	0.654517212840266
31	0.304249433962412	0.608498867924823	0.695750566037588
32	0.30859831580702	0.61719663161404	0.69140168419298
33	0.309316341503561	0.618632683007122	0.690683658496439
34	0.258928809531551	0.517857619063102	0.741071190468449
35	0.257341202234099	0.514682404468197	0.742658797765901
36	0.77518732885928	0.449625342281441	0.22481267114072
37	0.753012650859221	0.493974698281557	0.246987349140779
38	0.736593606835857	0.526812786328287	0.263406393164144
39	0.777608728262545	0.444782543474909	0.222391271737455
40	0.762056601817925	0.47588679636415	0.237943398182075
41	0.732125647762959	0.535748704474082	0.267874352237041
42	0.706420839127539	0.587158321744921	0.293579160872461
43	0.724339844691807	0.551320310616385	0.275660155308193
44	0.68137097747268	0.637258045054639	0.31862902252732
45	0.64816202634083	0.70367594731834	0.35183797365917
46	0.842490524234059	0.315018951531883	0.157509475765941
47	0.85794937980444	0.284101240391121	0.142050620195561
48	0.833242505068752	0.333514989862496	0.166757494931248
49	0.820865313502568	0.358269372994864	0.179134686497432
50	0.814046683576483	0.371906632847033	0.185953316423517
51	0.784461215021879	0.431077569956241	0.21553878497812
52	0.750565969008484	0.498868061983031	0.249434030991516
53	0.771392063558644	0.457215872882712	0.228607936441356
54	0.743041772857131	0.513916454285739	0.256958227142869
55	0.769521561090501	0.460956877818997	0.230478438909499
56	0.766453919214753	0.467092161570493	0.233546080785247
57	0.732211182840494	0.535577634319012	0.267788817159506
58	0.722573719660926	0.554852560678149	0.277426280339074
59	0.686278302065892	0.627443395868216	0.313721697934108
60	0.694895103124756	0.610209793750489	0.305104896875244
61	0.656176949773582	0.687646100452836	0.343823050226418
62	0.61476517111096	0.77046965777808	0.38523482888904
63	0.574034651986571	0.851930696026858	0.425965348013429
64	0.533305696313246	0.933388607373507	0.466694303686754
65	0.499134218053407	0.998268436106813	0.500865781946593
66	0.469369665185799	0.938739330371598	0.530630334814201
67	0.464983874169852	0.929967748339704	0.535016125830148
68	0.593408140286899	0.813183719426203	0.406591859713101
69	0.736058081404851	0.527883837190298	0.263941918595149
70	0.702605171117511	0.594789657764978	0.297394828882489
71	0.812845401047386	0.374309197905228	0.187154598952614
72	0.784025103868224	0.431949792263551	0.215974896131776
73	0.776250266549174	0.447499466901652	0.223749733450826
74	0.751071310187781	0.497857379624437	0.248928689812219
75	0.71745694542213	0.56508610915574	0.28254305457787
76	0.785743371975053	0.428513256049894	0.214256628024947
77	0.751678225631104	0.496643548737791	0.248321774368896
78	0.736493071548393	0.527013856903213	0.263506928451606
79	0.737155883723843	0.525688232552314	0.262844116276157
80	0.701593783523991	0.596812432952017	0.298406216476009
81	0.665411625967855	0.66917674806429	0.334588374032145
82	0.798061073089077	0.403877853821846	0.201938926910923
83	0.76485564528928	0.47028870942144	0.23514435471072
84	0.736948438348502	0.526103123302996	0.263051561651498
85	0.698996315721251	0.602007368557497	0.301003684278749
86	0.690582332489121	0.618835335021758	0.309417667510879
87	0.650208660734446	0.699582678531108	0.349791339265554
88	0.610065474114392	0.779869051771216	0.389934525885608
89	0.585561981744617	0.828876036510765	0.414438018255383
90	0.551241636387192	0.897516727225616	0.448758363612808
91	0.539182721988064	0.921634556023871	0.460817278011936
92	0.495251092877063	0.990502185754126	0.504748907122937
93	0.452161991453549	0.904323982907099	0.547838008546451
94	0.406660203279976	0.813320406559951	0.593339796720024
95	0.43219566918344	0.86439133836688	0.56780433081656
96	0.396143500313436	0.792287000626873	0.603856499686564
97	0.354227685237823	0.708455370475646	0.645772314762177
98	0.350900951564483	0.701801903128966	0.649099048435517
99	0.308388162422465	0.616776324844929	0.691611837577535
100	0.272821193068454	0.545642386136908	0.727178806931546
101	0.248380243603444	0.496760487206887	0.751619756396556
102	0.22862013683519	0.457240273670379	0.77137986316481
103	0.285619692393134	0.571239384786267	0.714380307606866
104	0.246601324395475	0.49320264879095	0.753398675604525
105	0.243568090370237	0.487136180740475	0.756431909629763
106	0.25697919043312	0.51395838086624	0.74302080956688
107	0.236225650874607	0.472451301749214	0.763774349125393
108	0.211987702736546	0.423975405473091	0.788012297263454
109	0.205167976931754	0.410335953863508	0.794832023068246
110	0.19726270176802	0.394525403536039	0.80273729823198
111	0.187922742849247	0.375845485698494	0.812077257150753
112	0.165684733686501	0.331369467373002	0.834315266313499
113	0.196696095617723	0.393392191235445	0.803303904382277
114	0.172208925422619	0.344417850845237	0.827791074577382
115	0.180141955107255	0.360283910214509	0.819858044892745
116	0.193608651244215	0.38721730248843	0.806391348755785
117	0.171303774855688	0.342607549711376	0.828696225144312
118	0.159465403259336	0.318930806518672	0.840534596740664
119	0.155150913725238	0.310301827450476	0.844849086274762
120	0.15753383433584	0.315067668671681	0.84246616566416
121	0.13348799038562	0.26697598077124	0.86651200961438
122	0.124258282631044	0.248516565262089	0.875741717368956
123	0.130152883890028	0.260305767780056	0.869847116109972
124	0.107148877298841	0.214297754597682	0.892851122701159
125	0.0853497599249869	0.170699519849974	0.914650240075013
126	0.0666632843252503	0.133326568650501	0.93333671567475
127	0.0505379369030187	0.101075873806037	0.949462063096981
128	0.0536962493071639	0.107392498614328	0.946303750692836
129	0.0503629144365288	0.100725828873058	0.949637085563471
130	0.0505264275431256	0.101052855086251	0.949473572456874
131	0.0548887226808006	0.109777445361601	0.945111277319199
132	0.067599167845438	0.135198335690876	0.932400832154562
133	0.134981252515547	0.269962505031095	0.865018747484453
134	0.137101940574925	0.274203881149849	0.862898059425075
135	0.109803251077331	0.219606502154661	0.890196748922669
136	0.0855601643026393	0.171120328605279	0.914439835697361
137	0.0802693352951837	0.160538670590367	0.919730664704816
138	0.077725011144847	0.155450022289694	0.922274988855153
139	0.0734500532418801	0.14690010648376	0.92654994675812
140	0.0534633827254409	0.106926765450882	0.946536617274559
141	0.479251881726555	0.958503763453109	0.520748118273445
142	0.493952958926101	0.987905917852203	0.506047041073899
143	0.444299676414526	0.888599352829052	0.555700323585474
144	0.389128890547723	0.778257781095445	0.610871109452277
145	0.320135706765449	0.640271413530898	0.679864293234551
146	0.387166069004995	0.774332138009989	0.612833930995005
147	0.387600305268912	0.775200610537824	0.612399694731088
148	0.414344242256942	0.828688484513884	0.585655757743058
149	0.327845714282247	0.655691428564495	0.672154285717753
150	0.240878804427133	0.481757608854266	0.759121195572867
151	0.702755214480402	0.594489571039196	0.297244785519598
152	0.851140473992672	0.297719052014657	0.148859526007328
153	0.74379330069278	0.512413398614441	0.25620669930722
154	0.601287626699516	0.797424746600968	0.398712373300484

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	1	0.00680272108843537	OK