Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 31.9139994354511 + 0.0599441462334808Software[t] + 0.187464165673756Happiness[t] -0.00717423215855211t + 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)	31.9139994354511	2.188821	14.5805	0	0
Software	0.0599441462334808	0.124867	0.4801	0.631845	0.315922
Happiness	0.187464165673756	0.113756	1.6479	0.10135	0.050675
t	-0.00717423215855211	0.005714	-1.2555	0.211161	0.105581

Multiple Linear Regression - Regression Statistics
Multiple R	0.180812066486346
R-squared	0.0326930033870627
Adjusted R-squared	0.0143264148437789
F-TEST (value)	1.78002590464837
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.153169415399799
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.35086507529021
Sum Squared Residuals	1774.07088694234

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.250653277527	5.74934672247299
2	39	35.9333915618299	3.06660843817011
3	30	34.853744754889	-4.85374475488897
4	31	34.4945373723029	-3.49453737230285
5	34	35.6568288264737	-1.65682882647369
6	35	35.8447504869622	-0.844750486962204
7	39	35.2076078845756	3.79239211542441
8	34	35.320321944884	-1.32032194488400
9	36	35.3807235859322	0.619276414067759
10	37	35.0138844763728	1.98611552362720
11	38	35.6214151604957	2.37858483950431
12	36	36.1090575521516	-0.109057552151609
13	38	34.4147058289293	3.58529417107075
14	39	35.4723724445798	3.52762755542024
15	33	36.0799031287026	-3.07990312870264
16	32	35.1430397951486	-3.14303979514862
17	36	35.0159772705231	0.984022729476894
18	38	35.6910838278528	2.30891617214722
19	39	35.0615729524395	3.93842704756052
20	32	35.4892711978619	-3.48927119786192
21	32	35.7970811508174	-3.7970811508174
22	31	34.5376019051760	-3.53760190517604
23	39	35.1527643162722	3.84723568372776
24	37	34.6507734602992	2.34922653970079
25	39	35.4610317640425	3.53896823595752
26	41	34.1939207914278	6.8060792085722
27	36	35.3191632802851	0.680836719714903
28	33	35.1768373017130	-2.17683730171296
29	33	35.2372389427612	-2.2372389427612
30	34	34.3603197554407	-0.36031975544066
31	31	35.4103546441179	-4.41035464411785
32	27	34.6010113300041	-7.6010113300041
33	37	35.4635820530075	1.53641794699246
34	34	35.2013677819684	-1.20136778196844
35	34	35.0067293841361	-1.00672938413613
36	32	35.0747627521577	-3.07476275215769
37	29	33.6953952140494	-4.69539521404936
38	36	35.1726708533342	0.82732914666577
39	29	35.4205366600562	-6.42053666005623
40	35	34.6635057652027	0.336494234797349
41	37	35.0312598643916	1.96874013560839
42	34	35.3314380903738	-1.33143809037378
43	38	35.5040962969157	2.49590370308433
44	35	34.4473446708947	0.552655329105313
45	38	34.4401704387361	3.55982956126386
46	37	34.3654203333708	2.63457966662921
47	38	35.1680469101407	2.83195308985926
48	33	35.0409843855152	-2.04098438551523
49	36	35.4087384847042	0.591261515295812
50	38	34.7116517360841	3.28834826391591
51	32	35.3867582934138	-3.38675829341377
52	32	34.7648791449738	-2.76487914497378
53	32	34.3152007082609	-2.31520070826092
54	34	34.5554347880096	-0.555434788009608
55	32	34.0687073859832	-2.06870738598321
56	37	34.6838697970794	2.31613020292059
57	39	35.2238246079955	3.77617539200450
58	29	35.0291862101632	-6.02918621016319
59	37	34.3996753347499	2.60032466525011
60	35	34.3325569563579	0.667443043642147
61	30	33.3956936228038	-3.39569362280383
62	38	34.6255609501815	3.37443904981853
63	34	34.3633466791424	-0.363346679142364
64	31	34.7387325053046	-3.73873250530464
65	34	34.9789665850533	-0.978966585053322
66	35	34.0944156707595	0.90558432924053
67	36	34.3346497505082	1.66535024949184
68	30	34.3351072453229	-4.33510724532292
69	39	34.9502696564191	4.04973034358089
70	35	34.9430954242606	0.0569045757394381
71	38	34.5086804414943	3.49131955850567
72	31	35.0562669793837	-4.05626697938373
73	34	35.0414610202519	-1.04146102025187
74	38	35.0342867880933	2.96571321190668
75	34	34.5322959321203	-0.532295932120289
76	39	34.1578250955875	4.84217490441246
77	37	35.3277482767317	1.67225172326831
78	34	34.4508290894112	-0.450829089411152
79	28	34.8785273348336	-6.87852733483359
80	37	34.4964247713275	2.50357522867247
81	33	34.8641788705165	-1.86417887051649
82	37	35.0444688040317	1.95553119596831
83	35	34.8498304061994	0.150169593800616
84	37	35.0301203397146	1.96987966028541
85	32	34.7755377956488	-2.7755377956488
86	33	34.520955251583	-1.52095525158301
87	38	34.6413010388647	3.35869896113527
88	33	34.6264950797329	-1.62649507973287
89	29	34.4318566819006	-5.43185668190056
90	33	33.2998974556995	-0.299897455699471
91	31	34.9875324415780	-3.98753244157804
92	36	34.5901664241253	1.40983357587465
93	35	34.7780880846139	0.221911915386137
94	32	34.5834496867816	-2.58344968678156
95	29	34.3888112889492	-5.38881128894925
96	39	34.824141261345	4.175858738655
97	37	34.2469428051919	2.75305719480813
98	35	34.3749203194469	0.625079680553096
99	37	35.1099710230101	1.89002897698994
100	32	34.607980167037	-2.60798016703704
101	38	35.2155108511599	2.78448914884008
102	37	34.0911833519321	2.90881664806786
103	36	35.0736423674025	0.92635763259746
104	32	33.8893707219413	-1.88937072194128
105	33	34.6320531524778	-1.63205315247776
106	40	33.5600380725101	6.43996192748985
107	38	34.8651130000679	3.13488699993211
108	41	34.6704746022356	6.32952539776442
109	36	33.6660353954748	2.33396460452523
110	43	33.4190845783823	9.5809154216177
111	30	34.6489519057599	-4.64895190575993
112	31	34.0118093033733	-3.01180930337331
113	32	34.1997309638618	-2.19973096386183
114	32	34.380020897377	-2.38002089737703
115	37	35.06275918168	1.93724081831998
116	37	34.8604890568744	2.1395109431256
117	33	34.4783864933683	-1.47838649336834
118	34	34.1714915300424	-0.171491530042381
119	33	34.3441497365843	-1.34414973658427
120	38	34.3969196506592	3.6030803493408
121	33	33.9548729409197	-0.954872940919655
122	31	34.4425153325756	-3.44251533257558
123	38	34.5628611198573	3.4371388801427
124	37	34.6755751801657	2.32442481983429
125	33	34.6084568017737	-1.60845680177368
126	31	34.3462425307346	-3.34624253073457
127	39	34.7892042301036	4.21079576989636
128	44	34.8419741441786	9.15802585582143
129	33	35.0898399509006	-2.08983995090057
130	35	34.4526973485140	0.547302651486046
131	32	34.0106506387744	-2.01065063877441
132	28	33.3135638901543	-5.31356389015431
133	40	34.2513422133379	5.74865778666214
134	27	34.4240004198797	-7.42400041987975
135	37	34.4767703339547	2.52322966604532
136	32	34.6570602674699	-2.65706026746988
137	28	33.5327327682421	-5.5327327682421
138	34	34.2078393255718	-0.207839325571781
139	30	33.5783284501585	-3.57832845015848
140	35	34.201122588228	0.79887741177201
141	31	33.8789641709554	-2.87896417095541
142	32	34.1867741239109	-2.18677412391089
143	30	34.4270082036596	-4.42700820365957
144	30	34.4045705175544	-4.40457051755439
145	31	34.3450838661357	-3.34508386613567
146	40	34.3455413609504	5.65445863904957
147	32	34.6380878599593	-2.63808785995929
148	36	33.6336486531985	2.36635134680153
149	32	33.8139385867137	-1.81393858671368
150	35	33.0645394188334	1.93546058116659
151	38	34.2497260539242	3.75027394607581
152	42	34.0398242021453	7.96017579785474
153	34	34.3552658820741	-0.35526588207405
154	35	33.41840254852	1.58159745147997
155	35	32.9687241118072	2.03127588819283
156	33	33.7114065423436	-0.711406542343644
157	36	34.1238413338195	1.87615866618054
158	32	33.7646339512333	-1.76463395123333
159	33	34.874612986144	-1.87461298614401
160	34	33.8625420524099	0.137457947590121
161	32	33.4880712158771	-1.48807121587713
162	34	33.6683611493923	0.331638850607668

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.91167537156848	0.17664925686304	0.08832462843152
8	0.837040992430107	0.325918015139786	0.162959007569893
9	0.762216607270586	0.475566785458828	0.237783392729414
10	0.705728482530099	0.588543034939802	0.294271517469901
11	0.610770719309361	0.778458561381278	0.389229280690639
12	0.540014211149266	0.919971577701467	0.459985788850734
13	0.613483049101626	0.773033901796748	0.386516950898374
14	0.547185510091335	0.90562897981733	0.452814489908665
15	0.587241737799634	0.825516524400732	0.412758262200366
16	0.58211222821106	0.83577554357788	0.41788777178894
17	0.501301264481389	0.997397471037223	0.498698735518611
18	0.44626393975658	0.89252787951316	0.55373606024342
19	0.437477875470473	0.874955750940947	0.562522124529527
20	0.478268461234103	0.956536922468205	0.521731538765897
21	0.506198232641367	0.987603534717266	0.493801767358633
22	0.478739557503571	0.957479115007142	0.521260442496429
23	0.545964058719195	0.90807188256161	0.454035941280805
24	0.509116124221828	0.981767751556344	0.490883875778172
25	0.485452006294995	0.97090401258999	0.514547993705005
26	0.620141210116584	0.759717579766831	0.379858789883416
27	0.562142722993099	0.875714554013802	0.437857277006901
28	0.540204626713294	0.919590746573413	0.459795373286706
29	0.518105736394237	0.963788527211525	0.481894263605763
30	0.472052157495574	0.944104314991148	0.527947842504426
31	0.502599876265132	0.994800247469737	0.497400123734868
32	0.723454199713999	0.553091600572002	0.276545800286001
33	0.700968302937978	0.598063394124045	0.299031697062022
34	0.650091535822178	0.699816928355645	0.349908464177822
35	0.59640180605369	0.807196387892621	0.403598193946311
36	0.564533132022933	0.870933735954133	0.435466867977067
37	0.578364292619624	0.843271414760751	0.421635707380376
38	0.544304853767035	0.91139029246593	0.455695146232965
39	0.610252261138823	0.779495477722355	0.389747738861177
40	0.575641525685389	0.848716948629222	0.424358474314611
41	0.576923389983091	0.846153220033818	0.423076610016909
42	0.5274502876769	0.9450994246462	0.4725497123231
43	0.524128778220803	0.951742443558393	0.475871221779197
44	0.483145728442852	0.966291456885704	0.516854271557148
45	0.513437710795195	0.97312457840961	0.486562289204805
46	0.496590932051009	0.993181864102018	0.503409067948991
47	0.485601870520226	0.971203741040452	0.514398129479774
48	0.447349914893515	0.89469982978703	0.552650085106485
49	0.40389404064957	0.80778808129914	0.59610595935043
50	0.401631095207909	0.803262190415818	0.598368904792091
51	0.402053364392545	0.80410672878509	0.597946635607455
52	0.377148280656362	0.754296561312723	0.622851719343638
53	0.350600151646341	0.701200303292683	0.649399848353659
54	0.306501486298509	0.613002972597018	0.693498513701491
55	0.273637679754406	0.547275359508812	0.726362320245594
56	0.275393882732836	0.550787765465672	0.724606117267164
57	0.296367998602731	0.592735997205462	0.703632001397269
58	0.380963333227613	0.761926666455227	0.619036666772386
59	0.368556721572962	0.737113443145924	0.631443278427038
60	0.327777251529772	0.655554503059543	0.672222748470228
61	0.324923386872346	0.649846773744692	0.675076613127654
62	0.329490598211964	0.658981196423929	0.670509401788036
63	0.288577166344634	0.577154332689268	0.711422833655366
64	0.292455543324893	0.584911086649786	0.707544456675107
65	0.255603852757640	0.511207705515281	0.74439614724236
66	0.222002264240714	0.444004528481428	0.777997735759286
67	0.196623286914664	0.393246573829327	0.803376713085336
68	0.215117414978572	0.430234829957143	0.784882585021428
69	0.239089639576164	0.478179279152327	0.760910360423836
70	0.205000000206494	0.410000000412988	0.794999999793506
71	0.215387702237584	0.430775404475168	0.784612297762416
72	0.228021443510526	0.456042887021052	0.771978556489474
73	0.197064774080224	0.394129548160448	0.802935225919776
74	0.191583720577646	0.383167441155293	0.808416279422354
75	0.16239209424165	0.3247841884833	0.83760790575835
76	0.197165510453622	0.394331020907244	0.802834489546378
77	0.174409836659990	0.348819673319979	0.82559016334001
78	0.146902888146474	0.293805776292948	0.853097111853526
79	0.243538269740417	0.487076539480833	0.756461730259583
80	0.228135468024407	0.456270936048814	0.771864531975593
81	0.204302006323753	0.408604012647507	0.795697993676246
82	0.184559082416652	0.369118164833304	0.815440917583348
83	0.155811322386938	0.311622644773877	0.844188677613062
84	0.138859756243783	0.277719512487566	0.861140243756217
85	0.130820542287724	0.261641084575447	0.869179457712276
86	0.113129124275321	0.226258248550642	0.886870875724679
87	0.113197394659508	0.226394789319016	0.886802605340492
88	0.0974885110240175	0.194977022048035	0.902511488975983
89	0.134178186066192	0.268356372132383	0.865821813933808
90	0.111482851187054	0.222965702374107	0.888517148812946
91	0.126530773921747	0.253061547843494	0.873469226078253
92	0.107680387836494	0.215360775672988	0.892319612163506
93	0.0886596988310187	0.177319397662037	0.911340301168981
94	0.0836455559122848	0.167291111824570	0.916354444087715
95	0.122850064431290	0.245700128862581	0.87714993556871
96	0.13214697307096	0.26429394614192	0.86785302692904
97	0.121407728640510	0.242815457281021	0.87859227135949
98	0.102360408101773	0.204720816203547	0.897639591898227
99	0.0876069943366983	0.175213988673397	0.912393005663302
100	0.0876726528430464	0.175345305686093	0.912327347156954
101	0.0795629118079498	0.159125823615900	0.92043708819205
102	0.071820078565155	0.14364015713031	0.928179921434845
103	0.0578085463586066	0.115617092717213	0.942191453641393
104	0.0517292141860243	0.103458428372049	0.948270785813976
105	0.0455733232426181	0.0911466464852361	0.954426676757382
106	0.0754714178735748	0.150942835747150	0.924528582126425
107	0.0697097218757025	0.139419443751405	0.930290278124298
108	0.111039969443949	0.222079938887898	0.88896003055605
109	0.0989334453953204	0.197866890790641	0.90106655460468
110	0.339740427811374	0.679480855622749	0.660259572188626
111	0.371650095668864	0.743300191337727	0.628349904331136
112	0.348758555465008	0.697517110930017	0.651241444534992
113	0.316911146070042	0.633822292140084	0.683088853929958
114	0.291513812181683	0.583027624363367	0.708486187818317
115	0.257662000908726	0.515324001817453	0.742337999091274
116	0.233348168811987	0.466696337623975	0.766651831188013
117	0.200753913472225	0.401507826944451	0.799246086527775
118	0.166802568937018	0.333605137874036	0.833197431062982
119	0.139989282756156	0.279978565512313	0.860010717243844
120	0.148082431809721	0.296164863619441	0.85191756819028
121	0.121193338953724	0.242386677907447	0.878806661046276
122	0.114938608403778	0.229877216807556	0.885061391596222
123	0.117888023009939	0.235776046019879	0.88211197699006
124	0.110926079909690	0.221852159819381	0.88907392009031
125	0.0896509002196495	0.179301800439299	0.91034909978035
126	0.0793484434124721	0.158696886824944	0.920651556587528
127	0.0905642716320444	0.181128543264089	0.909435728367956
128	0.388437008923725	0.77687401784745	0.611562991076275
129	0.341210372373806	0.682420744747612	0.658789627626194
130	0.314884206212507	0.629768412425014	0.685115793787493
131	0.26969752761954	0.53939505523908	0.73030247238046
132	0.285356183490008	0.570712366980016	0.714643816509992
133	0.511508759659878	0.976982480680243	0.488491240340122
134	0.624981944125948	0.750036111748103	0.375018055874052
135	0.672836527490498	0.654326945019005	0.327163472509502
136	0.61759073749892	0.76481852500216	0.38240926250108
137	0.666802233680564	0.666395532638872	0.333197766319436
138	0.610914619973527	0.778170760052946	0.389085380026473
139	0.603785650869305	0.792428698261389	0.396214349130694
140	0.557763376282632	0.884473247434737	0.442236623717368
141	0.520457917475236	0.959084165049527	0.479542082524764
142	0.462113228902364	0.924226457804729	0.537886771097636
143	0.503001921412129	0.993996157175741	0.496998078587871
144	0.60004805047745	0.799903899045101	0.399951949522550
145	0.712919157312131	0.574161685375739	0.287080842687869
146	0.780688073352894	0.438623853294212	0.219311926647106
147	0.851126524971518	0.297746950056964	0.148873475028482
148	0.795084989578325	0.40983002084335	0.204915010421675
149	0.956583622877245	0.086832754245511	0.0434163771227555
150	0.962993861969793	0.0740122760604138	0.0370061380302069
151	0.953547517119861	0.092904965760278	0.046452482880139
152	0.997905818310718	0.00418836337856375	0.00209418168928188
153	0.992766826145984	0.0144663477080327	0.00723317385401637
154	0.98846663870925	0.0230667225815004	0.0115333612907502
155	0.98025653922331	0.0394869215533803	0.0197434607766901

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	1	0.00671140939597315	OK
5% type I error level	4	0.0268456375838926	OK
10% type I error level	8	0.0536912751677852	OK