Multiple Linear Regression - Estimated Regression Equation

Learning[t] = + 5.40277255177464 + 0.125528415943849Age[t] + 0.10984471782245Connected[t] -0.0266356448552552Separate[t] + 0.550024458362693Software[t] + 0.0627070496258956Happiness[t] -0.0801217386766543Depression[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)	5.40277255177464	2.424431	2.2285	0.027288	0.013644
Age	0.125528415943849	0.127192	0.9869	0.325218	0.162609
Connected	0.10984471782245	0.046934	2.3404	0.020536	0.010268
Separate	-0.0266356448552552	0.044371	-0.6003	0.54919	0.274595
Software	0.550024458362693	0.068729	8.0028	0	0
Happiness	0.0627070496258956	0.074815	0.8382	0.403228	0.201614
Depression	-0.0801217386766543	0.055169	-1.4523	0.148439	0.074219

Multiple Linear Regression - Regression Statistics
Multiple R	0.59826591264806
R-squared	0.357922102236617
Adjusted R-squared	0.333067473936099
F-TEST (value)	14.4006218040749
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	5.12478948166972e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.84259672265392
Sum Squared Residuals	526.25021576192

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	16.2896817205973	-3.28968172059735
2	16	15.7596748010138	0.240325198986197
3	19	16.2119486760855	2.78805132391447
4	15	11.6477950853335	3.35220491466654
5	14	15.6272756661639	-1.62727566616388
6	13	14.8955850831943	-1.89558508319427
7	19	15.204167580285	3.79583241971503
8	15	16.6286822250089	-1.62868222500888
9	14	15.7922587611423	-1.79225876114235
10	15	12.1561561622491	2.84384383775094
11	16	15.2693843746785	0.730615625321477
12	16	16.2299660818545	-0.229966081854494
13	16	15.2978042552745	0.702195744725502
14	16	15.3596100325444	0.640389967455634
15	17	17.498704673818	-0.49870467381795
16	15	15.1484855911744	-0.148485591174394
17	15	14.6399796065379	0.360020393462087
18	20	16.1028620387405	3.89713796125953
19	18	15.8057397198869	2.19426028011311
20	16	15.5061854899019	0.493814510098056
21	16	15.284613086108	0.715386913891984
22	16	14.7782625982409	1.22173740175908
23	19	16.6200167433151	2.37998325668488
24	16	14.9879851694845	1.01201483051552
25	17	14.5969188346625	2.40308116533748
26	17	16.5497647681605	0.450235231839514
27	16	15.3024372350854	0.697562764914551
28	15	16.1717149076246	-1.17171490762455
29	16	15.1955089426789	0.804491057321109
30	14	14.034598283949	-0.0345982839490274
31	15	15.5723134743194	-0.572313474319434
32	12	12.1574426092202	-0.157442609220231
33	14	15.1595396568561	-1.15953965685607
34	16	15.4391762971103	0.560823702889717
35	14	15.4026752841179	-1.40267528411787
36	7	12.8789794147288	-5.8789794147288
37	10	10.6522818811081	-0.652281881108146
38	14	15.6852865734995	-1.68528657349955
39	16	14.1552534983326	1.84474650166737
40	16	14.5102223170532	1.48977768294677
41	16	14.9620832354818	1.03791676451817
42	14	15.6191175420149	-1.61911754201493
43	20	17.9648790334203	2.0351209665797
44	14	14.2525567286646	-0.252556728664567
45	14	15.081162738382	-1.081162738382
46	11	15.6619668963189	-4.66196689631895
47	14	16.5355518144056	-2.53555181440557
48	15	14.8592140554909	0.140785944509094
49	16	14.7616043581386	1.23839564186144
50	14	15.8863192934246	-1.88631929342457
51	16	16.3102005056942	-0.310200505694215
52	14	14.0028151930709	-0.0028151930709257
53	12	14.5143490716462	-2.51434907164624
54	16	15.7851355775978	0.214864422402232
55	9	11.3143727283251	-2.31437272832512
56	14	12.5216201860011	1.4783798139989
57	16	16.0962988090047	-0.096298809004734
58	16	15.0045747039733	0.99542529602674
59	15	15.262850642813	-0.262850642813012
60	16	14.1457993451327	1.85420065486734
61	12	11.3293509422332	0.670649057766841
62	16	16.0039830969251	-0.00398309692510026
63	16	16.3870749823098	-0.387074982309791
64	14	14.6864019571664	-0.68640195716644
65	16	15.6898035207762	0.310196479223797
66	17	15.7855102251659	1.21448977483405
67	18	16.2061557245714	1.79384427542858
68	18	14.5734149443999	3.42658505560015
69	12	15.7482494743035	-3.74824947430346
70	16	15.3086557989028	0.69134420109723
71	10	13.4821424528254	-3.48214245282536
72	14	14.2752021353443	-0.275202135344264
73	18	16.200182030828	1.799817969172
74	18	17.077711660325	0.92228833967505
75	16	15.7056470623549	0.294352937645107
76	17	13.8212093827742	3.17879061722583
77	16	16.4094339467827	-0.409433946782657
78	16	14.6938780084551	1.3061219915449
79	13	14.7796783819538	-1.77967838195381
80	16	16.3209531091194	-0.3209531091194
81	16	15.4814956400869	0.518504359913063
82	20	15.8849035940249	4.11509640597507
83	16	15.709264492286	0.290735507713958
84	15	15.732309925004	-0.732309925004046
85	15	15.0458328468233	-0.0458328468233487
86	16	14.5427312525463	1.45726874745368
87	14	14.0149670262482	-0.0149670262481858
88	16	15.266409725551	0.733590274448951
89	16	14.7027582942598	1.29724170574025
90	15	13.9273502203146	1.07264977968536
91	12	13.4513750353086	-1.45137503530859
92	17	16.9962162781611	0.00378372183887183
93	16	15.2822349581584	0.717765041841596
94	15	15.0760136608302	-0.0760136608301671
95	13	15.1566382773535	-2.15663827735353
96	16	15.1032220799221	0.896777920077853
97	16	15.7832763563899	0.216723643610123
98	16	14.1215828752941	1.87841712470586
99	16	15.9740314843952	0.0259685156048103
100	14	14.4772521601596	-0.477252160159605
101	16	17.2107755679092	-1.21077556790917
102	16	14.8087558556083	1.19124414439166
103	20	17.4170528347364	2.58294716526365
104	15	14.7838834242403	0.216116575759746
105	16	14.1998987218875	1.80010127811249
106	13	15.2142066211527	-2.21420662115265
107	17	15.9945335077365	1.00546649226351
108	16	16.0052661706613	-0.00526617066134807
109	16	14.6536187772108	1.34638122278925
110	12	12.691474054272	-0.691474054272004
111	16	14.9648675603001	1.03513243969986
112	16	15.870446902523	0.129553097477011
113	17	14.4375057244299	2.56249427557012
114	13	14.518339394135	-1.51833939413505
115	12	14.856567878619	-2.85656787861905
116	18	16.9713271693507	1.0286728306493
117	14	15.7474336693166	-1.7474336693166
118	14	12.9362210021145	1.06377899788546
119	13	15.1811716702508	-2.18117167025076
120	16	15.6475252248667	0.352474775133326
121	13	14.3962274332847	-1.39622743328469
122	16	16.1250644486777	-0.125064448677715
123	13	16.0763407105773	-3.07634071057727
124	16	17.2080173544216	-1.20801735442157
125	15	16.0391699067821	-1.03916990678206
126	16	16.7408439989002	-0.740843998900241
127	15	15.512836924999	-0.512836924999026
128	17	16.2653919811339	0.734608018866127
129	15	14.2077788794463	0.79222112055371
130	12	14.9452956586378	-2.94529565863775
131	16	14.1005664249092	1.89943357509077
132	10	13.2659238102439	-3.2659238102439
133	16	14.1037969252147	1.89620307478528
134	12	13.8606729573268	-1.86067295732676
135	14	15.6619530670457	-1.66195306704572
136	15	15.5059706857911	-0.505970685791055
137	13	12.3172802252929	0.6827197747071
138	15	14.8904076946899	0.10959230531006
139	11	13.5526397388065	-2.55263973880645
140	12	13.5543585319916	-1.55435853199158
141	8	13.3073042203369	-5.30730422033692
142	16	13.5560029490886	2.44399705091142
143	15	13.2519728188941	1.7480271811059
144	17	16.5603133023165	0.439686697683478
145	16	14.8523949745772	1.14760502542284
146	10	14.2461961052955	-4.24619610529549
147	18	15.892924663386	2.10707533661398
148	13	15.2744297017535	-2.27442970175355
149	16	15.1911795817192	0.808820418280772
150	13	13.26596648884	-0.265966488840021
151	10	13.1832753137692	-3.1832753137692
152	15	16.5128707986286	-1.51287079862856
153	16	14.6130598838654	1.3869401161346
154	16	12.0528885034356	3.94711149656443
155	14	12.7881991567107	1.21180084328933
156	10	12.4772529290364	-2.47725292903637
157	17	16.9962162781611	0.00378372183887183
158	13	11.7417962615772	1.25820373842278
159	15	14.2077788794463	0.79222112055371
160	16	15.3082162730131	0.691783726986918
161	12	12.4492154140547	-0.449215414054705
162	13	12.8652197318236	0.134780268176446

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.260827849957766	0.521655699915532	0.739172150042234
11	0.452952306589534	0.905904613179068	0.547047693410466
12	0.392485277109206	0.784970554218413	0.607514722890794
13	0.318210063933723	0.636420127867447	0.681789936066276
14	0.298769305969551	0.597538611939102	0.701230694030449
15	0.362686088003768	0.725372176007535	0.637313911996232
16	0.287619343885071	0.575238687770143	0.712380656114929
17	0.256364517814825	0.512729035629649	0.743635482185175
18	0.718013362728217	0.563973274543566	0.281986637271783
19	0.8690155083751	0.261968983249799	0.130984491624899
20	0.830536536181658	0.338926927636684	0.169463463818342
21	0.778612744438482	0.442774511123036	0.221387255561518
22	0.720973641545984	0.558052716908033	0.279026358454016
23	0.756214649257883	0.487570701484234	0.243785350742117
24	0.699074111388382	0.601851777223236	0.300925888611618
25	0.68350503396857	0.63298993206286	0.31649496603143
26	0.627853462995341	0.744293074009318	0.372146537004659
27	0.592914248262627	0.814171503474746	0.407085751737373
28	0.574075666137211	0.851848667725579	0.425924333862789
29	0.510252936461145	0.97949412707771	0.489747063538855
30	0.489730611813019	0.979461223626038	0.510269388186981
31	0.428688597771828	0.857377195543656	0.571311402228172
32	0.415883560596435	0.831767121192871	0.584116439403565
33	0.391324660153873	0.782649320307745	0.608675339846127
34	0.334868194822518	0.669736389645036	0.665131805177482
35	0.318411544697272	0.636823089394543	0.681588455302728
36	0.842599644560352	0.314800710879297	0.157400355439649
37	0.829929820004548	0.340140359990903	0.170070179995452
38	0.829698466961521	0.340603066076958	0.170301533038479
39	0.847567703542042	0.304864592915915	0.152432296457958
40	0.83026987767703	0.33946024464594	0.16973012232297
41	0.80246180779612	0.395076384407761	0.197538192203881
42	0.788616738689494	0.422766522621012	0.211383261310506
43	0.793288459801547	0.413423080396905	0.206711540198453
44	0.756707148225852	0.486585703548296	0.243292851774148
45	0.720666312865752	0.558667374268497	0.279333687134248
46	0.891917673799048	0.216164652401904	0.108082326200952
47	0.922199809078275	0.15560038184345	0.0778001909217251
48	0.901862356555008	0.196275286889985	0.0981376434449924
49	0.884954122238426	0.230091755523149	0.115045877761574
50	0.886466572691803	0.227066854616395	0.113533427308197
51	0.862798684266543	0.274402631466914	0.137201315733457
52	0.83346817521297	0.33306364957406	0.16653182478703
53	0.860968184130481	0.278063631739037	0.139031815869519
54	0.833485324346367	0.333029351307266	0.166514675653633
55	0.846051361252638	0.307897277494723	0.153948638747362
56	0.830056658678124	0.339886682643753	0.169943341321876
57	0.798945641665556	0.402108716668887	0.201054358334444
58	0.775674814422286	0.448650371155428	0.224325185577714
59	0.738425087813212	0.523149824373576	0.261574912186788
60	0.736751918231927	0.526496163536145	0.263248081768073
61	0.701647876520109	0.596704246959783	0.298352123479891
62	0.659414170336287	0.681171659327426	0.340585829663713
63	0.616777471631315	0.76644505673737	0.383222528368685
64	0.575784418301119	0.848431163397762	0.424215581698881
65	0.533656378741909	0.932687242516182	0.466343621258091
66	0.505145344702246	0.989709310595509	0.494854655297754
67	0.494157607728098	0.988315215456197	0.505842392271902
68	0.632790086096794	0.734419827806411	0.367209913903206
69	0.766329000971989	0.467341998056022	0.233670999028011
70	0.733242839839403	0.533514320321195	0.266757160160597
71	0.815501490135865	0.36899701972827	0.184498509864135
72	0.783242911281451	0.433514177437098	0.216757088718549
73	0.779061569055647	0.441876861888706	0.220938430944353
74	0.753775718726061	0.492448562547879	0.246224281273939
75	0.716085009968674	0.567829980062651	0.283914990031326
76	0.781179969850437	0.437640060299127	0.218820030149563
77	0.747111988296147	0.505776023407706	0.252888011703853
78	0.727639312862638	0.544721374274724	0.272360687137362
79	0.726276096494983	0.547447807010033	0.273723903505017
80	0.687046382005861	0.625907235988277	0.312953617994139
81	0.649022931145335	0.70195413770933	0.350977068854665
82	0.802628743771002	0.394742512457997	0.197371256228998
83	0.769834828058684	0.460330343882632	0.230165171941316
84	0.741615878536693	0.516768242926613	0.258384121463307
85	0.703723404958852	0.592553190082296	0.296276595041148
86	0.688904680812781	0.622190638374438	0.311095319187219
87	0.647137048573979	0.705725902852043	0.352862951426021
88	0.61069177233848	0.77861645532304	0.38930822766152
89	0.586538816986238	0.826922366027524	0.413461183013762
90	0.568997330152249	0.862005339695502	0.431002669847751
91	0.549295175458582	0.901409649082835	0.450704824541418
92	0.50936007680637	0.98127984638726	0.49063992319363
93	0.471916057208509	0.943832114417017	0.528083942791491
94	0.428424235128971	0.856848470257942	0.571575764871029
95	0.444492747750064	0.888985495500128	0.555507252249936
96	0.411573483372199	0.823146966744398	0.588426516627801
97	0.375336255480021	0.750672510960042	0.624663744519979
98	0.379450958572843	0.758901917145686	0.620549041427157
99	0.337076413379357	0.674152826758714	0.662923586620643
100	0.30007026645196	0.60014053290392	0.69992973354804
101	0.271589660679728	0.543179321359455	0.728410339320273
102	0.257957735600301	0.515915471200601	0.7420422643997
103	0.312787597401356	0.625575194802712	0.687212402598644
104	0.271611049781001	0.543222099562001	0.728388950218999
105	0.297327168581656	0.594654337163312	0.702672831418344
106	0.301916853953212	0.603833707906425	0.698083146046787
107	0.289861452253539	0.579722904507077	0.710138547746461
108	0.262086598976651	0.524173197953303	0.737913401023348
109	0.254696746894307	0.509393493788614	0.745303253105693
110	0.224930805262842	0.449861610525684	0.775069194737158
111	0.205136264513447	0.410272529026893	0.794863735486553
112	0.175127040273754	0.350254080547508	0.824872959726246
113	0.232948797730147	0.465897595460295	0.767051202269852
114	0.211495083149306	0.422990166298613	0.788504916850694
115	0.238886622658799	0.477773245317598	0.7611133773412
116	0.21210843567284	0.42421687134568	0.78789156432716
117	0.191068248627095	0.382136497254191	0.808931751372905
118	0.181990843085316	0.363981686170632	0.818009156914684
119	0.200440841803124	0.400881683606249	0.799559158196876
120	0.185889760266382	0.371779520532765	0.814110239733618
121	0.159386468424315	0.318772936848629	0.840613531575685
122	0.137154128418861	0.274308256837722	0.86284587158114
123	0.16727013842235	0.3345402768447	0.83272986157765
124	0.141186437198306	0.282372874396612	0.858813562801694
125	0.117532429991448	0.235064859982897	0.882467570008552
126	0.0937632376516482	0.187526475303296	0.906236762348352
127	0.074924162633365	0.14984832526673	0.925075837366635
128	0.0709669592651203	0.141933918530241	0.92903304073488
129	0.055189862914635	0.11037972582927	0.944810137085365
130	0.063568711834843	0.127137423669686	0.936431288165157
131	0.0633354581965244	0.126670916393049	0.936664541803476
132	0.0847765169829956	0.169553033965991	0.915223483017004
133	0.116526620569022	0.233053241138045	0.883473379430977
134	0.118970215567506	0.237940431135011	0.881029784432494
135	0.094075821731052	0.188151643462104	0.905924178268948
136	0.0800224206454109	0.160044841290822	0.919977579354589
137	0.0582606907208537	0.116521381441707	0.941739309279146
138	0.0409363969235797	0.0818727938471593	0.95906360307642
139	0.101590825317376	0.203181650634752	0.898409174682624
140	0.0790532610743629	0.158106522148726	0.920946738925637
141	0.621828313501501	0.756343372996998	0.378171686498499
142	0.562185255347794	0.875629489304412	0.437814744652206
143	0.498996888677859	0.997993777355717	0.501003111322141
144	0.487641879944233	0.975283759888467	0.512358120055767
145	0.414612991340747	0.829225982681494	0.585387008659253
146	0.40284171170267	0.80568342340534	0.59715828829733
147	0.522691663404459	0.954616673191081	0.477308336595541
148	0.784156697062218	0.431686605875564	0.215843302937782
149	0.718112465482806	0.563775069034388	0.281887534517194
150	0.592844661545768	0.814310676908464	0.407155338454232
151	0.786713299950314	0.426573400099371	0.213286700049686
152	0.845118580392235	0.30976283921553	0.154881419607765

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	0.006993006993007	OK