Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 33.0875718780359 + 0.0537248567570098Software[t] + 0.152393156666027Happiness[t] -0.0487180136506633Depression[t] -0.0069668331728648t + 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)	33.0875718780359	3.26887	10.122	0	0
Software	0.0537248567570098	0.125827	0.427	0.669984	0.334992
Happiness	0.152393156666027	0.135081	1.1282	0.260971	0.130486
Depression	-0.0487180136506633	0.100588	-0.4843	0.628824	0.314412
t	-0.0069668331728648	0.005744	-1.2128	0.227014	0.113507

Multiple Linear Regression - Regression Statistics
Multiple R	0.184759663662724
R-squared	0.034136133316763
Adjusted R-squared	0.0095281367133685
F-TEST (value)	1.38719676643868
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	0.240829939787867
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.35901121152838
Sum Squared Residuals	1771.42414211022

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.2741913554640	5.72580864453596
2	39	35.8717903058485	3.1282096941515
3	30	34.8668167620895	-4.8668167620895
4	31	34.6261554020709	-3.6261554020709
5	34	35.1663730700052	-1.16637307000524
6	35	35.7414801027494	-0.741480102749372
7	39	34.7452102199198	4.25478978008021
8	34	35.3815912504182	-1.38159125041824
9	36	35.4682858740480	0.531714125951957
10	37	34.9928158593811	2.00718414061887
11	38	35.6516888075203	2.34831119247965
12	36	36.1543940284949	-0.154394028494883
13	38	34.4348626897731	3.56513731022687
14	39	35.3372479534901	3.66275204650992
15	33	36.04483891528	-3.04483891527997
16	32	35.0722528305693	-3.07225283056931
17	36	34.9578362838824	1.04216371611757
18	38	35.6616526751736	2.33834732482635
19	39	35.1924995288964	3.80750047110364
20	32	35.3978898248606	-3.39788982486057
21	32	35.9342925301667	-3.93429253016673
22	31	34.573272361534	-3.57327236153404
23	39	35.1746458824176	3.82535411758241
24	37	34.6580069950973	2.34199300490267
25	39	35.4517102726926	3.54828972730743
26	41	34.5379336405209	6.46206635947915
27	36	35.3391083064378	0.66089169356218
28	33	35.0473825323583	-2.04738253235829
29	33	35.1340771559881	-2.13407715598809
30	34	34.4588059962878	-0.458805996287765
31	31	35.5161267145617	-4.51612671456171
32	27	34.5447729024587	-7.54477290245874
33	37	35.4984184777173	1.50158152228268
34	34	35.2453970310758	-1.24539703107576
35	34	34.9886010139355	-0.988601013935542
36	32	35.261386278563	-3.261386278563
37	29	33.549326328163	-4.54932632816298
38	36	35.1688116847336	0.831188315266362
39	29	35.4566174786801	-6.45661747868013
40	35	34.8400780188432	0.159921981156839
41	37	35.186615512653	1.81338448734699
42	34	35.1959014814069	-1.19590148140688
43	38	35.642417300409	2.35758269959098
44	35	34.464945474883	0.535054525116978
45	38	34.6041326826621	3.39586731733785
46	37	34.4547863790360	2.54521362096405
47	38	35.3059890838869	2.69401091611315
48	33	35.0941365098986	-2.09413650989864
49	36	35.1970839354552	0.80291606454482
50	38	34.8291413869779	3.17085861302213
51	32	35.4355217509678	-3.43552175096777
52	32	34.7139971228322	-2.71399712283216
53	32	34.1624284785726	-2.16242847857258
54	34	34.5564517134254	-0.556451713425404
55	32	34.2658400671484	-2.26584006714845
56	37	34.72105954708	2.27894045291999
57	39	35.1401169974646	3.85988300253543
58	29	35.1756290622283	-6.17562906222833
59	37	34.6090398886497	2.39096011135029
60	35	34.3047581304665	0.695241869533478
61	30	33.2834540321052	-3.2834540321052
62	38	34.6968213752528	3.30317862474717
63	34	34.4925179422619	-0.49251794226193
64	31	34.6841199815148	-3.68411998151479
65	34	34.9319891754156	-0.931989175415625
66	35	34.3142174429710	0.685782557029038
67	36	34.2210605413172	1.77893945868285
68	30	34.4489023627926	-4.4489023627926
69	39	34.9041218427242	4.09587815727583
70	35	34.8484369959006	0.151563004099362
71	38	34.5228955926844	3.47710440731563
72	31	34.8844536158133	-3.88445361581326
73	34	34.9837042235467	-0.983704223546727
74	38	35.1228914313259	2.87710856867415
75	34	34.6549705576562	-0.65497055765625
76	39	33.944691888341	5.05530811165898
77	37	35.2068983474303	1.79310165256969
78	34	34.2880371194767	-0.288037119476666
79	28	34.8344535109955	-6.83445351099552
80	37	34.7175724190933	2.28242758090675
81	33	34.9179558719511	-1.91795587195111
82	37	35.1121002090949	1.88789979090506
83	35	35.0014582329067	-0.0014582329067116
84	37	35.0007305154479	1.99926948455212
85	32	34.787645668852	-2.78764566885198
86	33	34.5258428086054	-1.52584280860542
87	38	34.6175442753416	3.38245572465843
88	33	34.6680768694244	-1.66807686942437
89	29	34.3625628386335	-5.36256283863349
90	33	33.1002109699098	-0.100210969909821
91	31	34.8944632559822	-3.89446325598216
92	36	34.5028369093859	1.49716309061407
93	35	34.7369178465754	0.263082153424589
94	32	34.4801218294352	-2.48012182943519
95	29	34.5643519078496	-5.56435190784962
96	39	34.8583968175101	4.14160318248985
97	37	34.1594418596909	2.84055814030911
98	35	34.4859519810754	0.514048018924644
99	37	35.0973391881716	1.90266081182840
100	32	34.7268543418033	-2.72685434180333
101	38	35.2395732489906	2.76042675100944
102	37	34.0171579803125	2.98284201968745
103	36	35.0295352554345	0.970464744565517
104	32	34.0944212255541	-2.09442122555411
105	33	34.453436950792	-1.45343695079203
106	40	33.439681993428	6.56031800657197
107	38	34.8892113661227	3.11078863387734
108	41	34.4862613080304	6.51373869196955
109	36	33.7123218484211	2.28767815157890
110	43	33.0519934653642	9.94800653463577
111	30	34.5627968358132	-4.56279683581318
112	31	34.0049890758396	-3.00498907583957
113	32	34.3365060403304	-2.33650604033038
114	32	34.2870603092209	-2.28706030922089
115	37	34.9820952869071	2.01790471309289
116	37	34.9289527379745	2.07104726202545
117	33	34.422327536867	-1.42232753686698
118	34	34.1954544335597	-0.195454433559724
119	33	34.5445342252605	-1.54453422526054
120	38	34.2989841669407	3.70101583305929
121	33	33.9335061636788	-0.93350616367878
122	31	34.3874933710026	-3.38749337100265
123	38	34.6253488786908	3.37465112130921
124	37	34.8719857999839	2.12801420001606
125	33	34.6651400691021	-1.66514006910207
126	31	34.4608366361112	-3.46083663611117
127	39	34.9409721867694	4.05902781323064
128	44	34.8902941830522	9.10970581694782
129	33	35.0319459360467	-2.03194593604668
130	35	34.4254201624224	0.574579837577597
131	32	34.1573781864618	-2.1573781864618
132	28	33.1561014605259	-5.15610146052587
133	40	34.3894991335848	5.61050086641523
134	27	34.3001168024296	-7.30011680242962
135	37	34.4930288669658	2.50697113303425
136	32	34.5410191631576	-2.54101916315759
137	28	33.1724498535276	-5.17244985352759
138	34	34.1685743267228	-0.168574326722795
139	30	33.5532671394935	-3.55326713949351
140	35	34.2920132877241	0.707986712275948
141	31	33.9852669843255	-2.98526698432548
142	32	34.326797635029	-2.32679763502899
143	30	34.3310767606765	-4.33107676067650
144	30	34.4391087820150	-4.43910878201497
145	31	34.3696356784801	-3.36963567848009
146	40	34.4026054453529	5.59739455464711
147	32	34.6155448823144	-2.61554488231441
148	36	33.7441693954037	2.25583060459626
149	32	33.9870317461982	-1.98703174619823
150	35	32.9719667635509	2.02803323644905
151	38	34.2653284090809	3.73467159091911
152	42	33.8799411781987	8.1200588218013
153	34	34.5049984972012	-0.504998497201173
154	35	33.5811304261412	1.41886957385882
155	35	32.8834077409296	2.11659225907039
156	33	33.5347315480715	-0.534731548071519
157	36	34.0499927531497	1.95000724685029
158	32	33.7606133794804	-1.76061337948045
159	33	34.8229409408607	-1.82294094086074
160	34	34.1065009085071	-0.106500908507059
161	32	33.3475042255412	-1.34750422554117
162	34	33.5903665763357	0.409633423664343

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.896243975502255	0.207512048995491	0.103756024497745
9	0.84528901255469	0.30942197489062	0.15471098744531
10	0.791714619151272	0.416570761697456	0.208285380848728
11	0.706705044633178	0.586589910733643	0.293294955366822
12	0.626597325214464	0.746805349571072	0.373402674785536
13	0.684994276282729	0.630011447434543	0.315005723717271
14	0.613831543404358	0.772336913191284	0.386168456595642
15	0.63455636204455	0.730887275910901	0.365443637955451
16	0.634536739437591	0.730926521124819	0.365463260562409
17	0.551711143945734	0.896577712108532	0.448288856054266
18	0.496655416322394	0.993310832644787	0.503344583677606
19	0.496697531311349	0.993395062622698	0.503302468688651
20	0.540453535429793	0.919092929140414	0.459546464570207
21	0.554275904981595	0.891448190036811	0.445724095018405
22	0.526917072779886	0.946165854440228	0.473082927220114
23	0.591767586124115	0.81646482775177	0.408232413875885
24	0.55082687651951	0.89834624696098	0.44917312348049
25	0.522485386334229	0.955029227331543	0.477514613665771
26	0.665434258713658	0.669131482572685	0.334565741286342
27	0.608449770634369	0.783100458731262	0.391550229365631
28	0.583246840750686	0.833506318498629	0.416753159249314
29	0.555684517165594	0.888630965668813	0.444315482834406
30	0.508122134787662	0.983755730424677	0.491877865212338
31	0.541546516799155	0.91690696640169	0.458453483200845
32	0.736455617609043	0.527088764781914	0.263544382390957
33	0.713197222400873	0.573605555198255	0.286802777599127
34	0.662461364485479	0.675077271029043	0.337538635514521
35	0.608718909144263	0.782562181711473	0.391281090855737
36	0.581841280484485	0.836317439031031	0.418158719515515
37	0.572787613341393	0.854424773317215	0.427212386658607
38	0.541026068543331	0.917947862913339	0.458973931456669
39	0.606916690783954	0.786166618432092	0.393083309216046
40	0.565934826865656	0.868130346268688	0.434065173134344
41	0.557955183491693	0.884089633016614	0.442044816508307
42	0.510887067876624	0.978225864246751	0.489112932123376
43	0.497398443418637	0.994796886837274	0.502601556581363
44	0.460472280995517	0.920944561991033	0.539527719004483
45	0.482223368399948	0.964446736799897	0.517776631600052
46	0.466435033987339	0.932870067974677	0.533564966012661
47	0.45026378540302	0.90052757080604	0.54973621459698
48	0.410440511115477	0.820881022230953	0.589559488884523
49	0.381880291225459	0.763760582450918	0.618119708774541
50	0.377457148820271	0.754914297640542	0.622542851179729
51	0.377479874396902	0.754959748793804	0.622520125603098
52	0.347140362307554	0.694280724615109	0.652859637692446
53	0.311463816946187	0.622927633892373	0.688536183053813
54	0.268931770790320	0.537863541580641	0.73106822920968
55	0.237975326163818	0.475950652327636	0.762024673836182
56	0.244376588144022	0.488753176288045	0.755623411855978
57	0.275354502943971	0.550709005887942	0.724645497056029
58	0.368665132082861	0.737330264165721	0.63133486791714
59	0.349922257771217	0.699844515542434	0.650077742228783
60	0.312418153965361	0.624836307930722	0.687581846034639
61	0.299815039529396	0.599630079058792	0.700184960470604
62	0.30391632737986	0.60783265475972	0.69608367262014
63	0.264874496088185	0.529748992176369	0.735125503911815
64	0.262645454867974	0.525290909735948	0.737354545132026
65	0.227391639852245	0.454783279704489	0.772608360147755
66	0.194592306055635	0.389184612111270	0.805407693944365
67	0.175773494523714	0.351546989047427	0.824226505476286
68	0.194699834660068	0.389399669320135	0.805300165339932
69	0.223265474868613	0.446530949737226	0.776734525131387
70	0.191356441059961	0.382712882119922	0.808643558940039
71	0.203311899881824	0.406623799763647	0.796688100118176
72	0.208995023545914	0.417990047091828	0.791004976454086
73	0.178993739408189	0.357987478816377	0.821006260591811
74	0.171718679972787	0.343437359945575	0.828281320027213
75	0.144546911642980	0.289093823285961	0.85545308835702
76	0.190238242038343	0.380476484076686	0.809761757961657
77	0.168962660139537	0.337925320279075	0.831037339860463
78	0.141682635665457	0.283365271330914	0.858317364334543
79	0.234119555974352	0.468239111948704	0.765880444025648
80	0.216121084218065	0.432242168436129	0.783878915781935
81	0.193086815011431	0.386173630022862	0.806913184988569
82	0.172986941979495	0.345973883958989	0.827013058020505
83	0.145079157373775	0.290158314747550	0.854920842626225
84	0.129259958779881	0.258519917559763	0.870740041220119
85	0.121153879831551	0.242307759663102	0.878846120168449
86	0.104007931706148	0.208015863412296	0.895992068293852
87	0.104876604388980	0.209753208777959	0.89512339561102
88	0.0898371943641422	0.179674388728284	0.910162805635858
89	0.121612624498080	0.243225248996161	0.87838737550192
90	0.100717185211400	0.201434370422799	0.8992828147886
91	0.114277516895701	0.228555033791403	0.885722483104299
92	0.0971911879368542	0.194382375873708	0.902808812063146
93	0.0796733427361246	0.159346685472249	0.920326657263875
94	0.0749299288282982	0.149859857656596	0.925070071171702
95	0.112247636050102	0.224495272100204	0.887752363949898
96	0.120120457955684	0.240240915911368	0.879879542044316
97	0.111174572486849	0.222349144973699	0.88882542751315
98	0.092620014613736	0.185240029227472	0.907379985386264
99	0.0788329708196358	0.157665941639272	0.921167029180364
100	0.0793339639275654	0.158667927855131	0.920666036072435
101	0.0714096341974177	0.142819268394835	0.928590365802582
102	0.0649962817352087	0.129992563470417	0.935003718264791
103	0.0520355387346255	0.104071077469251	0.947964461265374
104	0.0476376296000335	0.095275259200067	0.952362370399966
105	0.041004611443989	0.082009222887978	0.95899538855601
106	0.0705130738724881	0.141026147744976	0.929486926127512
107	0.0646687113985582	0.129337422797116	0.935331288601442
108	0.109572436625036	0.219144873250072	0.890427563374964
109	0.0959880204486227	0.191976040897245	0.904011979551377
110	0.402829861307932	0.805659722615863	0.597170138692068
111	0.423046306515666	0.846092613031332	0.576953693484334
112	0.398434690966872	0.796869381933744	0.601565309033128
113	0.372251424778786	0.744502849557572	0.627748575221214
114	0.339168228051008	0.678336456102016	0.660831771948992
115	0.309664018029331	0.619328036058662	0.690335981970669
116	0.281825577333725	0.563651154667449	0.718174422666275
117	0.243722958333035	0.487445916666070	0.756277041666965
118	0.204948142272811	0.409896284545622	0.79505185772719
119	0.181300095200203	0.362600190400407	0.818699904799797
120	0.209826488935500	0.419652977871001	0.7901735110645
121	0.175568024752830	0.351136049505660	0.82443197524717
122	0.161328914297278	0.322657828594556	0.838671085702722
123	0.164079272409849	0.328158544819698	0.835920727590151
124	0.143791541571797	0.287583083143594	0.856208458428203
125	0.118081002159431	0.236162004318861	0.88191899784057
126	0.111826720973737	0.223653441947474	0.888173279026263
127	0.114621112203591	0.229242224407182	0.88537888779641
128	0.433148840693403	0.866297681386806	0.566851159306597
129	0.383146096862203	0.766292193724406	0.616853903137797
130	0.359699427898234	0.719398855796468	0.640300572101766
131	0.313306314180362	0.626612628360723	0.686693685819638
132	0.318837060905164	0.637674121810328	0.681162939094836
133	0.502363670512949	0.995272658974102	0.497636329487051
134	0.597713398369677	0.804573203260646	0.402286601630323
135	0.642205375370989	0.715589249258022	0.357794624629011
136	0.583844002913121	0.832311994173758	0.416155997086879
137	0.617019114701172	0.765961770597656	0.382980885298828
138	0.556092770673833	0.887814458652335	0.443907229326167
139	0.551064504274096	0.897870991451807	0.448935495725903
140	0.502976445544264	0.994047108911472	0.497023554455736
141	0.462072103673701	0.924144207347402	0.537927896326299
142	0.401042920741143	0.802085841482287	0.598957079258857
143	0.456388096806596	0.912776193613193	0.543611903193404
144	0.554956081416462	0.890087837167076	0.445043918583538
145	0.682430244348413	0.635139511303175	0.317569755651587
146	0.749214869365823	0.501570261268354	0.250785130634177
147	0.860256144519559	0.279487710960881	0.139743855480441
148	0.796744470723162	0.406511058553675	0.203255529276838
149	0.92745220591782	0.145095588164362	0.0725477940821809
150	0.93769708685101	0.124605826297978	0.062302913148989
151	0.918394946551103	0.163210106897794	0.0816050534488968
152	0.99409115994436	0.0118176801112804	0.00590884005564021
153	0.981497406017036	0.0370051879659289	0.0185025939829644
154	0.95681886166919	0.0863622766616217	0.0431811383308109

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	2	0.0136054421768707	OK
10% type I error level	5	0.0340136054421769	OK