Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 19.6760915648946 + 0.330950712702927Separate[t] + 0.328569361683998Learning[t] -0.13956585228506Software[t] + 0.0538885656668382Happiness[t] -0.0357108316548837Depression[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)	19.6760915648946	3.779859	5.2055	1e-06	0
Separate	0.330950712702927	0.069903	4.7344	5e-06	2e-06
Learning	0.328569361683998	0.132418	2.4813	0.014151	0.007075
Software	-0.13956585228506	0.136625	-1.0215	0.308586	0.154293
Happiness	0.0538885656668382	0.126343	0.4265	0.670312	0.335156
Depression	-0.0357108316548837	0.093462	-0.3821	0.702915	0.351458

Multiple Linear Regression - Regression Statistics
Multiple R	0.423104717147008
R-squared	0.179017601672049
Adjusted R-squared	0.152704063264102
F-TEST (value)	6.80325081700084
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	9.10900633999123e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.10676170912486
Sum Squared Residuals	1505.70705749637

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.1747400615542	5.82525993844578
2	39	34.5655748169959	4.43442518300412
3	30	35.5015191763839	-5.50151917638389
4	31	34.9067432037842	-3.90674320378419
5	34	34.8191725046899	-0.819172504689881
6	35	32.6908696144653	2.30913038553472
7	39	34.4723929261888	4.52760707381119
8	34	34.9265564866011	-0.926556486601051
9	36	34.635767514106	1.36423248589403
10	37	36.6874516326445	0.312548367355541
11	38	34.3560122225661	3.64398777743394
12	36	35.2489314507482	0.751068549251842
13	38	34.8449092508654	3.15509074913464
14	39	36.3363694669151	2.66363053308489
15	33	36.0263451647091	-3.02634516470915
16	32	34.1057035580977	-2.10570355809774
17	36	34.0538845499649	1.94611545003507
18	38	37.6721021219975	0.327897878002472
19	39	37.028574385569	1.97142561443104
20	32	34.2468101700674	-2.24681017006737
21	32	35.0393688563183	-3.03936885631834
22	31	33.6107057973754	-2.61070579737537
23	39	37.0065903793731	1.99340962062693
24	37	36.4517659169507	0.548234083049317
25	39	35.1193873175832	3.88061268241684
26	41	34.201437046418	6.79856295358202
27	36	35.590215676056	0.40978432394396
28	33	35.1146638726844	-2.11466387268444
29	33	34.4881614854486	-1.48816148544858
30	34	33.9303110356382	0.069688964361767
31	31	32.7372812841912	-1.7372812841912
32	27	33.2577087721613	-6.25770877216134
33	37	33.6988734991981	3.30112650080194
34	34	35.9190968312249	-1.91909683122493
35	34	32.8199928899598	1.18000711004015
36	32	32.497020047314	-0.497020047314041
37	29	32.1546426197188	-3.15464261971877
38	36	33.9024444253903	2.09755557460965
39	29	34.3560122225661	-5.35601222256605
40	35	34.8023593853046	0.197640614695444
41	37	34.6148966355902	2.38510336440981
42	34	33.8849113277474	0.115088672252581
43	38	35.3209442182226	2.6790557817774
44	35	33.9484887696502	1.05151123034981
45	38	32.4008677011002	5.5991322988998
46	37	33.327372671422	3.67262732857803
47	38	35.8557153442875	2.1442846557125
48	33	34.7372411837172	-1.73724118371722
49	36	36.3545472009271	-0.354547200927063
50	38	33.4994274130086	4.50057258699137
51	32	36.0605152366795	-4.06051523667946
52	32	33.0634137628751	-1.06341376287508
53	32	32.8154864494257	-0.815486449425699
54	34	35.8416834996776	-1.84168349967764
55	32	32.7796530049172	-0.779653004917226
56	37	34.4088888263978	2.59111117360222
57	39	34.9087115954732	4.09128840452677
58	29	34.9976663564259	-5.99766635642592
59	37	35.2731877437774	1.72681225622256
60	35	34.9008673740662	0.0991326259337744
61	30	31.6254747870261	-1.62547478702608
62	38	34.7827567301276	3.21724326987241
63	34	34.7267986069267	-0.726798606926724
64	31	34.5786014741047	-3.57860147410466
65	34	33.8619708916976	0.138029108302394
66	35	35.8386575122897	-0.83865751228968
67	36	35.2053831720203	0.7946168279797
68	30	33.2089177511933	-3.20891775119332
69	39	35.526249859288	3.47375014071204
70	35	35.8119643362603	-0.811964336260284
71	38	34.0496831285817	3.95031687141834
72	31	35.6435199118922	-4.64351991189223
73	34	36.8875836121189	-2.8875836121189
74	38	37.6566175324894	0.3433824675106
75	34	32.501812572862	1.49818742713801
76	39	33.902356410604	5.09764358939596
77	37	35.8158864469638	1.18411355303622
78	34	33.7509162860295	0.249083713970544
79	28	32.8762628066456	-4.87626280664561
80	37	32.5732342361718	4.42676576382824
81	33	35.588146118522	-2.58814611852201
82	37	37.6539243879856	-0.653924387985574
83	35	35.9905184945347	-0.990518494534702
84	37	34.2849023527412	2.71509764725882
85	32	34.7015303520623	-2.70153035206233
86	33	34.0872140306009	-1.08721403060089
87	38	36.2711354268082	1.72886457319179
88	33	34.8366452957944	-1.83664529579443
89	29	34.0137228097571	-5.01372280975709
90	33	33.4427969451908	-0.442796945190804
91	31	34.7289216966651	-3.72892169666511
92	36	33.9235946145859	2.07640538541409
93	35	37.1714780187269	-2.17147801872688
94	32	32.4152391629282	-0.415239162928223
95	29	32.5446674575737	-3.54466745757366
96	39	35.921166388759	3.07883361124103
97	37	34.7774096982591	2.22259030174091
98	35	34.2982015461957	0.701798453804283
99	37	35.0340218244498	1.96597817555017
100	32	35.245849931379	-3.24584993137902
101	38	35.4525023769405	2.54749762305955
102	37	35.0565414028292	1.94345859717079
103	36	36.8328544551177	-0.832854455117698
104	32	32.5359826448323	-0.535982644832303
105	33	36.5420099506414	-3.54200995064143
106	40	32.6696171354182	7.3303828645818
107	38	35.6396533331699	2.36034666683008
108	41	36.4024440983564	4.59755590164363
109	36	34.9844751031504	1.01552489684958
110	43	36.2237185695812	6.7762814304188
111	30	34.8191121981515	-4.8191121981515
112	31	33.9577646865562	-2.95776468655622
113	32	37.603257764672	-5.60325776467202
114	32	33.5524198553599	-1.55241985535992
115	37	34.0170538162959	2.98294618370408
116	37	34.871515536115	2.12848446388504
117	33	35.9542233330492	-2.95422333304917
118	34	36.6877634261294	-2.68776342612936
119	33	34.4285862706951	-1.42858627069508
120	38	35.3914142262356	2.60858577376436
121	33	34.768445574838	-1.76844557483795
122	31	32.3090027912791	-1.30900279127912
123	38	35.5952901715788	2.4047098284212
124	37	36.0780483343224	0.921951665677608
125	33	33.4652573410383	-0.465257341038315
126	31	34.0688192922244	-3.06881929222437
127	39	34.4298152368948	4.57018476310525
128	44	37.1926214335884	6.80737856641159
129	33	35.8938285763605	-2.89382857636054
130	35	33.3491607226525	1.65083927734747
131	32	34.7666485536497	-2.76664855364967
132	28	31.7877640709964	-3.78776407099639
133	40	36.5130710720201	3.48692892797994
134	27	32.284886921234	-5.28488692123398
135	37	35.557197988905	1.44280201109502
136	32	32.8896778386197	-0.88967783861971
137	28	29.7437413699583	-1.74374136995826
138	34	34.9071708357887	-0.907170835788654
139	30	33.4993718810274	-3.49937188102744
140	35	34.1702306555204	0.829769344479594
141	31	32.9038501062137	-1.90385010621372
142	32	35.5202189339113	-3.52021893391128
143	30	34.9631289589895	-4.96312895898952
144	30	35.0774678133262	-5.07746781332617
145	31	31.3896418740141	-0.389641874014135
146	40	32.5741283597105	7.42587164028953
147	32	33.1453403092906	-1.14534030929056
148	36	34.3154621074929	1.68453789250711
149	32	33.7717268580069	-1.77172685800686
150	35	33.0883146922734	1.91168530772661
151	38	35.3255890819641	2.67441091803594
152	42	35.1289194959929	6.8710805040071
153	34	36.7940553297597	-2.79405532975965
154	35	37.2210168416858	-2.22101684168575
155	35	34.2183513316483	0.781648668351698
156	33	32.1624868411258	0.837513158874232
157	36	33.9235946145859	2.07640538541409
158	32	35.6097627992518	-3.60976279925182
159	33	35.8938285763605	-2.89382857636054
160	34	34.3675536519715	-0.367553651971452
161	32	34.0895398496386	-2.08953984963863
162	34	34.8743701530022	-0.874370153002162

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.946586565936353	0.106826868127293	0.0534134340636465
10	0.902926813246782	0.194146373506436	0.0970731867532182
11	0.842494875020463	0.315010249959075	0.157505124979537
12	0.8249938041444	0.3500123917112	0.1750061958556
13	0.871906074441785	0.25618785111643	0.128093925558215
14	0.828724804040828	0.342550391918343	0.171275195959171
15	0.829885441016687	0.340229117966627	0.170114558983313
16	0.826114422350647	0.347771155298706	0.173885577649353
17	0.767119198016241	0.465761603967517	0.232880801983759
18	0.707271414376955	0.585457171246089	0.292728585623045
19	0.683946010323712	0.632107979352576	0.316053989676288
20	0.682984263585066	0.634031472829869	0.317015736414934
21	0.68999462536493	0.62001074927014	0.31000537463507
22	0.645800765653689	0.708398468692623	0.354199234346311
23	0.618216036822471	0.763567926355059	0.38178396317753
24	0.547650889234662	0.904698221530676	0.452349110765338
25	0.539970073595132	0.920059852809735	0.460029926404868
26	0.800744026012025	0.39851194797595	0.199255973987975
27	0.752987606019416	0.494024787961169	0.247012393980585
28	0.725296288710822	0.549407422578355	0.274703711289178
29	0.692351920159322	0.615296159681356	0.307648079840678
30	0.638980962965526	0.722038074068947	0.361019037034474
31	0.609613357698512	0.780773284602976	0.390386642301488
32	0.767719941465872	0.464560117068256	0.232280058534128
33	0.763496500138716	0.473006999722568	0.236503499861284
34	0.737903829007361	0.524192341985277	0.262096170992639
35	0.695271449992798	0.609457100014404	0.304728550007202
36	0.643573094641038	0.712853810717924	0.356426905358962
37	0.618180559545555	0.76363888090889	0.381819440454445
38	0.586969354340128	0.826061291319744	0.413030645659872
39	0.710619622981171	0.578760754037658	0.289380377018829
40	0.661816073444699	0.676367853110602	0.338183926555301
41	0.631882986457696	0.736234027084607	0.368117013542304
42	0.579691429443062	0.840617141113877	0.420308570556938
43	0.54625102325747	0.90749795348506	0.45374897674253
44	0.500669403615632	0.998661192768735	0.499330596384368
45	0.595188183144068	0.809623633711864	0.404811816855932
46	0.613922672287738	0.772154655424524	0.386077327712262
47	0.580459456971679	0.839081086056642	0.419540543028321
48	0.551808296568667	0.896383406862666	0.448191703431333
49	0.500856071632881	0.998287856734239	0.499143928367119
50	0.533684755572767	0.932630488854466	0.466315244427233
51	0.581121703629164	0.837756592741673	0.418878296370836
52	0.540553291402517	0.918893417194966	0.459446708597483
53	0.493751182709099	0.987502365418198	0.506248817290901
54	0.462652332517771	0.925304665035543	0.537347667482229
55	0.416036626352818	0.832073252705637	0.583963373647182
56	0.401060720903024	0.802121441806049	0.598939279096976
57	0.430141489475444	0.860282978950887	0.569858510524556
58	0.58010494615943	0.83979010768114	0.41989505384057
59	0.545546366302912	0.908907267394176	0.454453633697088
60	0.49767554282646	0.99535108565292	0.50232445717354
61	0.463208968056433	0.926417936112867	0.536791031943567
62	0.460340666178559	0.920681332357118	0.539659333821441
63	0.418877797604694	0.837755595209387	0.581122202395306
64	0.430147644657434	0.860295289314868	0.569852355342566
65	0.38478914417171	0.76957828834342	0.61521085582829
66	0.34558563417858	0.69117126835716	0.65441436582142
67	0.305273828834088	0.610547657668176	0.694726171165912
68	0.322356756557527	0.644713513115054	0.677643243442473
69	0.333031022540122	0.666062045080244	0.666968977459878
70	0.294355105762902	0.588710211525803	0.705644894237098
71	0.317776480944914	0.635552961889828	0.682223519055086
72	0.37035734214983	0.740714684299661	0.62964265785017
73	0.364256977905196	0.728513955810392	0.635743022094804
74	0.321845581328736	0.643691162657472	0.678154418671264
75	0.291363532641732	0.582727065283465	0.708636467358268
76	0.362082096509525	0.72416419301905	0.637917903490475
77	0.324562524312405	0.64912504862481	0.675437475687595
78	0.284191786576622	0.568383573153245	0.715808213423378
79	0.344043680925405	0.68808736185081	0.655956319074595
80	0.398471743803635	0.79694348760727	0.601528256196365
81	0.384098740075916	0.768197480151831	0.615901259924084
82	0.342887665396873	0.685775330793747	0.657112334603127
83	0.305090579016221	0.610181158032441	0.69490942098378
84	0.294189265326421	0.588378530652843	0.705810734673579
85	0.283097049926509	0.566194099853018	0.716902950073491
86	0.250024818985265	0.50004963797053	0.749975181014735
87	0.226089115412534	0.452178230825068	0.773910884587466
88	0.203041870573684	0.406083741147368	0.796958129426316
89	0.255013834164842	0.510027668329683	0.744986165835159
90	0.220103766893401	0.440207533786802	0.779896233106599
91	0.236303358007159	0.472606716014318	0.763696641992841
92	0.215619242888189	0.431238485776379	0.78438075711181
93	0.200352172172071	0.400704344344143	0.799647827827929
94	0.169893140924226	0.339786281848453	0.830106859075774
95	0.173591567216886	0.347183134433773	0.826408432783114
96	0.173198389673249	0.346396779346498	0.82680161032675
97	0.158518355990558	0.317036711981117	0.841481644009441
98	0.13688880938799	0.27377761877598	0.86311119061201
99	0.121569641992407	0.243139283984814	0.878430358007593
100	0.120219939075987	0.240439878151973	0.879780060924013
101	0.110950098251335	0.22190019650267	0.889049901748665
102	0.0988548320711883	0.197709664142377	0.901145167928812
103	0.0807447088144072	0.161489417628814	0.919255291185593
104	0.0661958895006315	0.132391779001263	0.933804110499369
105	0.073590282227156	0.147180564454312	0.926409717772844
106	0.189180120060782	0.378360240121563	0.810819879939218
107	0.1758486371246	0.3516972742492	0.8241513628754
108	0.202737961321114	0.405475922642229	0.797262038678886
109	0.182602177452925	0.365204354905849	0.817397822547075
110	0.342044687266412	0.684089374532824	0.657955312733588
111	0.391002242550914	0.782004485101828	0.608997757449086
112	0.3685270349204	0.737054069840801	0.6314729650796
113	0.44836267309539	0.89672534619078	0.55163732690461
114	0.408736599894533	0.817473199789065	0.591263400105467
115	0.390788884915254	0.781577769830508	0.609211115084746
116	0.367643698933058	0.735287397866116	0.632356301066942
117	0.369586974611466	0.739173949222932	0.630413025388534
118	0.354106210612073	0.708212421224147	0.645893789387927
119	0.316646519623594	0.633293039247189	0.683353480376406
120	0.305377299259444	0.610754598518889	0.694622700740556
121	0.272606570708607	0.545213141417214	0.727393429291393
122	0.233120441300833	0.466240882601665	0.766879558699167
123	0.2066459324327	0.413291864865399	0.7933540675673
124	0.171039539342166	0.342079078684332	0.828960460657834
125	0.138368193837521	0.276736387675042	0.861631806162479
126	0.1367715975708	0.273543195141599	0.8632284024292
127	0.173060829558924	0.346121659117848	0.826939170441076
128	0.351722372520528	0.703444745041055	0.648277627479472
129	0.32408132106747	0.648162642134939	0.67591867893253
130	0.285091218975908	0.570182437951816	0.714908781024092
131	0.255534762847669	0.511069525695338	0.744465237152331
132	0.292037434222975	0.584074868445951	0.707962565777025
133	0.371496074970505	0.74299214994101	0.628503925029495
134	0.523801025784487	0.952397948431026	0.476198974215513
135	0.468636132280178	0.937272264560356	0.531363867719822
136	0.405006926784935	0.81001385356987	0.594993073215065
137	0.382820914192038	0.765641828384076	0.617179085807962
138	0.318889772198762	0.637779544397525	0.681110227801238
139	0.413589765849609	0.827179531699219	0.586410234150391
140	0.351449772199875	0.702899544399751	0.648550227800125
141	0.543323849537738	0.913352300924523	0.456676150462262
142	0.477654813236166	0.955309626472332	0.522345186763834
143	0.492622368461624	0.985244736923247	0.507377631538376
144	0.750710673336678	0.498578653326643	0.249289326663322
145	0.676456236497422	0.647087527005156	0.323543763502578
146	0.959895839884145	0.0802083202317108	0.0401041601158554
147	0.943165388855661	0.113669222288677	0.0568346111443385
148	0.966690046160908	0.066619907678183	0.0333099538390915
149	0.957814003938833	0.0843719921223342	0.0421859960611671
150	0.923863280163481	0.152273439673038	0.0761367198365192
151	0.868882933727454	0.262234132545092	0.131117066272546
152	0.982778515511213	0.0344429689775737	0.0172214844887868
153	0.948525743238306	0.102948513523388	0.0514742567616938

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	1	0.00689655172413793	OK
10% type I error level	4	0.0275862068965517	OK