Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 32.3319878002112 + 0.0736930507943348Software[t] + 0.158414769830048Happiness[t] -0.0578124530341167Depression[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)	32.3319878002112	3.213735	10.0606	0	0
Software	0.0736930507943348	0.124931	0.5899	0.556121	0.27806
Happiness	0.158414769830048	0.13519	1.1718	0.243045	0.121523
Depression	-0.0578124530341167	0.100457	-0.5755	0.565776	0.282888

Multiple Linear Regression - Regression Statistics
Multiple R	0.158387868304106
R-squared	0.0250867168259188
Adjusted R-squared	0.00657570512008165
F-TEST (value)	1.35523207615975
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.25857296513043
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.36401381269591
Sum Squared Residuals	1788.02105125741

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	34.740361750955	6.25963824904502
2	39	35.3581402325145	3.64185976748549
3	30	34.3705716877792	-4.37057168777918
4	31	33.9813739065284	-2.98137390652844
5	34	34.6105722641019	-0.610572264101924
6	35	35.2266347286861	-0.226634728686064
7	39	34.1622372206134	4.83776277938662
8	34	34.9455603055773	-0.945560305577329
9	36	35.0144014268528	0.985598573147177
10	37	34.3988057629845	2.60119423701554
11	38	35.1838448649242	2.81615513507575
12	36	35.7636854122412	0.236314587758753
13	38	33.933265312532	4.066734687468
14	39	34.8678733337521	4.13212666624793
15	33	35.710724888726	-2.71072488872597
16	32	34.6247368448863	-2.62473684488631
17	36	34.4773507432976	1.52264925670236
18	38	35.2734185134788	2.72658148652120
19	39	34.7822936062284	4.21770639377156
20	32	34.9993788375805	-2.99937883758052
21	32	35.589390044651	-3.58939004465098
22	31	34.1494925353962	-3.14949253539617
23	39	34.8140548017489	4.18594519825112
24	37	34.2342142544319	2.76578574556812
25	39	35.0523393610958	3.9476606389042
26	41	34.195418311701	6.80458168829901
27	36	34.9676176420601	1.03238235793992
28	33	34.7143104934409	-1.71431049344086
29	33	34.7831516147164	-1.78315161471636
30	34	34.0599188868416	-0.0599188868416135
31	31	35.230628649717	-4.23062864971699
32	27	34.1137374188448	-7.1137374188448
33	37	35.1838448649242	1.81615513507575
34	34	34.9565889738187	-0.956588973818707
35	34	34.6825492979204	-0.682549297920426
36	32	34.9199758487794	-2.91997584877943
37	29	33.0436299727654	-4.04362997276536
38	36	34.8987765207846	1.10122347921541
39	29	35.1838448649242	-6.18384486492425
40	35	34.5501857856041	0.449814214395941
41	37	34.9248277782983	2.07517222170173
42	34	34.9415663845464	-0.941566384546404
43	38	35.5095202551341	2.49047974486589
44	35	34.1605212036375	0.839478796362455
45	38	34.3339585627399	3.66604143726011
46	37	34.2073049884303	2.79269501156972
47	38	35.1459069306813	2.85409306931872
48	33	34.8828959230244	-1.88289592302437
49	36	34.968475650548	1.031524349452
50	38	34.6397594341586	3.36024056584139
51	32	35.3202022982715	-3.32020229827154
52	32	34.4773507432976	-2.47735074329764
53	32	33.9182427232597	-1.9182427232597
54	34	34.3816003560205	-0.381600356020549
55	32	33.9654933087682	-1.96549330876822
56	37	34.4566182160186	2.54338178398142
57	39	34.9993788375805	4.00062116241948
58	29	35.0722138798869	-6.07221387988694
59	37	34.4654640665683	2.53453593343165
60	35	34.1027087506034	0.897291249396572
61	30	32.9589082537296	-2.95890825372965
62	38	34.5819469811245	3.41805301887551
63	34	34.4125035430531	-0.412503543053069
64	31	34.551043794092	-3.55104379409197
65	34	34.8409640677505	-0.840964067750473
66	35	34.2382081754628	0.761791824537197
67	36	34.1234412778825	1.87655872211751
68	30	34.3498391605001	-4.34983916050011
69	39	34.8409640677505	4.15903593224953
70	35	34.7831516147164	0.216848385283643
71	38	34.3877770947431	3.61222290525691
72	31	34.8100608807180	-3.81006088071795
73	34	34.9883501693391	-0.988350169339143
74	38	35.1617875284415	2.83821247155851
75	34	34.6397594341586	-0.639759434158611
76	39	33.7977658876726	5.20223411232737
77	37	35.2314866582049	1.76851334179510
78	34	34.2191916651596	-0.219191665159577
79	28	34.8409640677505	-6.84096406775047
80	37	34.7553843402268	2.24461565977316
81	33	34.9565889738187	-1.95658897381871
82	37	35.1728161966829	1.82718380331713
83	35	35.0722138798869	-0.07221387988694
84	37	35.0571912906146	1.94280870938536
85	32	34.8250834699903	-2.82508346999025
86	33	34.5351631963318	-1.53516319633176
87	38	34.6198849153675	3.38011508463253
88	33	34.7403617509545	-1.74036175095454
89	29	34.4085096220221	-5.40850962202215
90	33	33.0533338318030	-0.0533338318030432
91	31	34.9367144550276	-3.93671445502756
92	36	34.6295887744051	1.37041122559485
93	35	34.8409640677505	0.159035932249526
94	32	34.5669243918522	-2.56692439185219
95	29	34.6975718871927	-5.69757188719273
96	39	34.9676176420601	4.03238235793992
97	37	34.2659754499523	2.73402455004768
98	35	34.5770950516057	0.422904948394345
99	37	35.2734185134788	1.72658148652120
100	32	34.8670153252642	-2.86701532526415
101	38	35.4786170681016	2.52138293189841
102	37	34.1185893483636	2.88141065163635
103	36	35.2782704429976	0.721729557002357
104	32	34.2492368437042	-2.24923684370418
105	33	34.5938336578538	-1.59383365785379
106	40	33.5436007305655	6.45639926943451
107	38	35.1150037436488	2.88499625635125
108	41	34.6675267086481	6.33247329135188
109	36	33.8595722617377	2.14042773826233
110	43	33.0444879812533	9.95551201874672
111	30	34.7831516147164	-4.78315161471636
112	31	34.2390661839507	-3.23906618395072
113	32	34.5660663833643	-2.56606638336428
114	32	34.4932313410579	-2.49323134105786
115	37	35.2266347286861	1.77336527131394
116	37	35.2465092474772	1.75349075252279
117	33	34.6984298956806	-1.69842989568064
118	34	34.3877770947431	-0.387777094743087
119	33	34.8401060592626	-1.84010605926256
120	38	34.5669243918522	3.43307560814781
121	33	34.1764018013978	-1.17640180139776
122	31	34.6984298956806	-3.69842989568064
123	38	34.9565889738187	3.04341102618129
124	37	35.2774124345097	1.72258756549027
125	33	35.0302820246130	-2.03028202461304
126	31	34.8608385865416	-3.86083858654162
127	39	35.2994697709925	3.70053022900752
128	44	35.2575379157186	8.74246208428142
129	33	35.3691689007559	-2.36916890075589
130	35	34.7672710169561	0.232728983043861
131	32	34.4923733325699	-2.49237333256994
132	28	33.412095226737	-5.41209522673704
133	40	34.7196292236755	5.28037077632452
134	27	34.6516461108879	-7.65164611088791
135	37	34.8987765207846	2.10122347921541
136	32	34.9415663845464	-2.94156638454640
137	28	33.4081013057061	-5.40810130570611
138	34	34.551043794092	-0.551043794091975
139	30	33.8864815277393	-3.88648152773926
140	35	34.6618167706414	0.338183229358632
141	31	34.3608678287415	-3.36086782874149
142	32	34.7196292236755	-2.71962922367548
143	30	34.7204872321634	-4.7204872321634
144	30	34.9614409033375	-4.96144090333755
145	31	34.8250834699903	-3.82508346999025
146	40	34.8202315404714	5.17976845952859
147	32	35.1308843414090	-3.13088434140897
148	36	34.2073049884303	1.79269501156972
149	32	34.4813446643286	-2.48134466432856
150	35	33.3225215781825	1.67747842181752
151	38	34.6887260366430	3.31127396335704
152	42	34.3665777667482	7.63342223325175
153	34	35.009549497334	-1.00954949733398
154	35	33.9813739065284	1.01862609347156
155	35	33.2488285273881	1.75117147261185
156	33	33.9403000597425	-0.940300059742456
157	36	34.6295887744051	1.37041122559485
158	32	34.1825785401203	-2.1825785401203
159	33	35.3691689007559	-2.36916890075589
160	34	34.6816912894325	-0.68169128943251
161	32	33.7818852899124	-1.78188528991241
162	34	34.0559249658107	-0.0559249658106891

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.929659075304176	0.140681849391647	0.0703409246958236
8	0.870659096202935	0.25868180759413	0.129340903797065
9	0.789247800990525	0.421504398018951	0.210752199009475
10	0.709257444500982	0.581485110998036	0.290742555499018
11	0.611716275015886	0.776567449968227	0.388283724984114
12	0.546414132086734	0.907171735826533	0.453585867913266
13	0.615502417731021	0.768995164537958	0.384497582268979
14	0.57228354989207	0.85543290021586	0.42771645010793
15	0.562643120204438	0.874713759591123	0.437356879795562
16	0.563675151147818	0.872649697704365	0.436324848852182
17	0.480453028170069	0.960906056340138	0.519546971829931
18	0.427044418069858	0.854088836139715	0.572955581930142
19	0.44554169871525	0.8910833974305	0.55445830128475
20	0.477776092827352	0.955552185654705	0.522223907172648
21	0.503182229559139	0.993635540881721	0.496817770440861
22	0.504026072219556	0.991947855560888	0.495973927780444
23	0.54238850291575	0.9152229941685	0.45761149708425
24	0.498331859640095	0.99666371928019	0.501668140359905
25	0.474111122542173	0.948222245084346	0.525888877457827
26	0.63711736104083	0.72576527791834	0.36288263895917
27	0.57650188584546	0.84699622830908	0.42349811415454
28	0.54167556863967	0.91664886272066	0.45832443136033
29	0.513347789517612	0.973304420964776	0.486652210482388
30	0.469563960907515	0.93912792181503	0.530436039092485
31	0.521579432448991	0.956841135102018	0.478420567551009
32	0.775578328763462	0.448843342473075	0.224421671236538
33	0.738096671700776	0.523806656598447	0.261903328299224
34	0.696928626117836	0.606142747764327	0.303071373882164
35	0.650615577725834	0.698768844548333	0.349384422274166
36	0.645413598920834	0.709172802158332	0.354586401079166
37	0.664139219925208	0.671721560149584	0.335860780074792
38	0.615426309200372	0.769147381599255	0.384573690799627
39	0.725094717009549	0.549810565980903	0.274905282990451
40	0.678922828913815	0.642154342172371	0.321077171086185
41	0.646442291919472	0.707115416161056	0.353557708080528
42	0.60073035635871	0.79853928728258	0.39926964364129
43	0.564906732629374	0.870186534741252	0.435093267370626
44	0.515481570987824	0.969036858024352	0.484518429012176
45	0.51522376495573	0.96955247008854	0.48477623504427
46	0.487067172979463	0.974134345958925	0.512932827020537
47	0.46021890192189	0.92043780384378	0.53978109807811
48	0.430102492103341	0.860204984206682	0.569897507896659
49	0.387117413364021	0.774234826728043	0.612882586635979
50	0.374499592713926	0.748999185427852	0.625500407286074
51	0.39116689271629	0.78233378543258	0.60883310728371
52	0.370182859611675	0.74036571922335	0.629817140388325
53	0.342961528924922	0.685923057849844	0.657038471075078
54	0.301976939677098	0.603953879354196	0.698023060322902
55	0.271077993748261	0.542155987496521	0.72892200625174
56	0.261819797258599	0.523639594517199	0.738180202741401
57	0.276049623517286	0.552099247034572	0.723950376482714
58	0.388770682990079	0.777541365980158	0.611229317009921
59	0.364720468220207	0.729440936440414	0.635279531779793
60	0.323217218768645	0.64643443753729	0.676782781231355
61	0.310408084757564	0.620816169515129	0.689591915242436
62	0.306850083403671	0.613700166807341	0.693149916596329
63	0.271285499836129	0.542570999672259	0.72871450016387
64	0.27647224114998	0.55294448229996	0.72352775885002
65	0.241226403061808	0.482452806123616	0.758773596938192
66	0.209027901411605	0.41805580282321	0.790972098588395
67	0.185709249004261	0.371418498008523	0.814290750995739
68	0.210012882542759	0.420025765085517	0.789987117457241
69	0.226743413606229	0.453486827212459	0.77325658639377
70	0.193376579617876	0.386753159235752	0.806623420382124
71	0.200637399154644	0.401274798309288	0.799362600845356
72	0.209869353670891	0.419738707341783	0.790130646329109
73	0.181833499278623	0.363666998557247	0.818166500721377
74	0.172226375646987	0.344452751293974	0.827773624353013
75	0.146371304117412	0.292742608234824	0.853628695882588
76	0.188497782331074	0.376995564662149	0.811502217668925
77	0.166309319711934	0.332618639423868	0.833690680288066
78	0.139389494361058	0.278778988722116	0.860610505638942
79	0.234878264398869	0.469756528797738	0.765121735601131
80	0.217628963400968	0.435257926801935	0.782371036599032
81	0.196034743237240	0.392069486474481	0.80396525676276
82	0.174842212121906	0.349684424243812	0.825157787878094
83	0.147645734139867	0.295291468279735	0.852354265860133
84	0.130780099348705	0.26156019869741	0.869219900651295
85	0.123175556672534	0.246351113345069	0.876824443327466
86	0.105326298547718	0.210652597095436	0.894673701452282
87	0.105609078996284	0.211218157992568	0.894390921003716
88	0.090890399515752	0.181780799031504	0.909109600484248
89	0.122307145943385	0.244614291886770	0.877692854056615
90	0.100554126810489	0.201108253620979	0.89944587318951
91	0.108333499879953	0.216666999759906	0.891666500120047
92	0.091999092779674	0.183998185559348	0.908000907220326
93	0.0744652627744585	0.148930525548917	0.925534737225541
94	0.0675550661999526	0.135110132399905	0.932444933800047
95	0.0958948339105571	0.191789667821114	0.904105166089443
96	0.103869743271535	0.207739486543070	0.896130256728465
97	0.0972699394593445	0.194539878918689	0.902730060540656
98	0.0791268860280612	0.158253772056122	0.920873113971939
99	0.0672596026400878	0.134519205280176	0.932740397359912
100	0.062115291120374	0.124230582240748	0.937884708879626
101	0.0568796836969927	0.113759367393985	0.943120316303007
102	0.0535074055376783	0.107014811075357	0.946492594462322
103	0.0431980249249872	0.0863960498499744	0.956801975075013
104	0.0368119873853287	0.0736239747706574	0.963188012614671
105	0.0297371472396293	0.0594742944792585	0.97026285276037
106	0.0600066483059883	0.120013296611977	0.939993351694012
107	0.0573193705671955	0.114638741134391	0.942680629432805
108	0.106455467811633	0.212910935623266	0.893544532188367
109	0.096913428884867	0.193826857769734	0.903086571115133
110	0.409488382411405	0.818976764822809	0.590511617588595
111	0.438180369080631	0.876360738161262	0.561819630919369
112	0.416864543513919	0.833729087027837	0.583135456486081
113	0.394480384966523	0.788960769933046	0.605519615033477
114	0.363332514644954	0.726665029289907	0.636667485355046
115	0.331551949120909	0.663103898241817	0.668448050879091
116	0.301119590697997	0.602239181395994	0.698880409302003
117	0.263276291785772	0.526552583571544	0.736723708214228
118	0.223447729286095	0.44689545857219	0.776552270713905
119	0.200577048551344	0.401154097102689	0.799422951448656
120	0.226011608769761	0.452023217539522	0.773988391230239
121	0.190733300042145	0.381466600084290	0.809266699957855
122	0.180400905413667	0.360801810827335	0.819599094586333
123	0.177594013170327	0.355188026340654	0.822405986829673
124	0.153418652837038	0.306837305674075	0.846581347162962
125	0.128928756925716	0.257857513851432	0.871071243074284
126	0.127234034480163	0.254468068960327	0.872765965519837
127	0.124528061904201	0.249056123808403	0.875471938095799
128	0.390516466514242	0.781032933028484	0.609483533485758
129	0.346245166835563	0.692490333671126	0.653754833164437
130	0.302360382687316	0.604720765374632	0.697639617312684
131	0.278005716473104	0.556011432946208	0.721994283526896
132	0.318029218513996	0.636058437027992	0.681970781486004
133	0.40619891608382	0.81239783216764	0.59380108391618
134	0.569361466260226	0.861277067479547	0.430638533739774
135	0.56005390387044	0.879892192259121	0.439946096129560
136	0.510954730122382	0.978090539755236	0.489045269877618
137	0.628267178053731	0.743465643892537	0.371732821946269
138	0.561863954942018	0.876272090115965	0.438136045057982
139	0.600027969486317	0.799944061027367	0.399972030513683
140	0.540649215230142	0.918701569539717	0.459350784769858
141	0.522556801283207	0.954886397433586	0.477443198716793
142	0.470777055965781	0.941554111931561	0.529222944034219
143	0.520770445464045	0.95845910907191	0.479229554535955
144	0.589458416266226	0.821083167467549	0.410541583733774
145	0.62103273935169	0.75793452129662	0.37896726064831
146	0.793037218784582	0.413925562430836	0.206962781215418
147	0.81835606889633	0.36328786220734	0.18164393110367
148	0.752783778544038	0.494432442911924	0.247216221455962
149	0.765991940978937	0.468016118042127	0.234008059021063
150	0.676056936549409	0.647886126901182	0.323943063450591
151	0.811852270431641	0.376295459136718	0.188147729568359
152	0.995965614938796	0.0080687701224088	0.0040343850612044
153	0.987078569122982	0.0258428617540362	0.0129214308770181
154	0.985911722762896	0.0281765544742076	0.0140882772371038
155	0.980147880738194	0.0397042385236123	0.0198521192618062

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	7	0.0469798657718121	OK