Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 32.3319878002113 + 0.073693050794334Software[t] + 0.158414769830047Happiness[t] -0.0578124530341171Depression[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)	32.3319878002113	3.213735	10.0606	0	0
Software	0.073693050794334	0.124931	0.5899	0.556121	0.27806
Happiness	0.158414769830047	0.13519	1.1718	0.243045	0.121523
Depression	-0.0578124530341171	0.100457	-0.5755	0.565776	0.282888

Multiple Linear Regression - Regression Statistics
Multiple R	0.158387868304105
R-squared	0.0250867168259186
Adjusted R-squared	0.00657570512008154
F-TEST (value)	1.35523207615974
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.258572965130434
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.36401381269592
Sum Squared Residuals	1788.02105125741

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	34.7403617509547	6.25963824904534
2	39	35.3581402325145	3.64185976748549
3	30	34.3705716877792	-4.37057168777917
4	31	33.9813739065284	-2.98137390652845
5	34	34.6105722641019	-0.610572264101918
6	35	35.2266347286861	-0.226634728686063
7	39	34.1622372206134	4.83776277938663
8	34	34.9455603055773	-0.94556030557733
9	36	35.0144014268528	0.985598573147175
10	37	34.3988057629845	2.60119423701553
11	38	35.1838448649243	2.81615513507575
12	36	35.7636854122412	0.236314587758754
13	38	33.933265312532	4.06673468746799
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	2.7265814865212
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	6.804581688299
27	36	34.9676176420601	1.03238235793991
28	33	34.7143104934409	-1.71431049344086
29	33	34.7831516147164	-1.78315161471636
30	34	34.0599188868416	-0.0599188868416191
31	31	35.230628649717	-4.23062864971699
32	27	34.1137374188448	-7.11373741884481
33	37	35.1838448649243	1.81615513507575
34	34	34.9565889738187	-0.956588973818708
35	34	34.6825492979204	-0.682549297920427
36	32	34.9199758487794	-2.91997584877944
37	29	33.0436299727654	-4.04362997276537
38	36	34.8987765207846	1.10122347921541
39	29	35.1838448649243	-6.18384486492425
40	35	34.5501857856041	0.449814214395936
41	37	34.9248277782983	2.07517222170173
42	34	34.9415663845464	-0.941566384546404
43	38	35.5095202551341	2.49047974486589
44	35	34.1605212036376	0.839478796362451
45	38	34.3339585627399	3.6660414372601
46	37	34.2073049884303	2.79269501156971
47	38	35.1459069306813	2.85409306931872
48	33	34.8828959230244	-1.88289592302437
49	36	34.968475650548	1.031524349452
50	38	34.6397594341586	3.36024056584138
51	32	35.3202022982715	-3.32020229827154
52	32	34.4773507432976	-2.47735074329764
53	32	33.9182427232597	-1.9182427232597
54	34	34.3816003560205	-0.381600356020551
55	32	33.9654933087682	-1.96549330876823
56	37	34.4566182160186	2.54338178398141
57	39	34.9993788375805	4.00062116241948
58	29	35.0722138798869	-6.07221387988694
59	37	34.4654640665684	2.53453593343165
60	35	34.1027087506034	0.897291249396568
61	30	32.9589082537297	-2.95890825372966
62	38	34.5819469811245	3.4180530188755
63	34	34.4125035430531	-0.412503543053072
64	31	34.551043794092	-3.55104379409198
65	34	34.8409640677505	-0.840964067750474
66	35	34.2382081754628	0.761791824537192
67	36	34.1234412778825	1.87655872211751
68	30	34.3498391605001	-4.34983916050012
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	-0.988350169339142
74	38	35.1617875284415	2.83821247155851
75	34	34.6397594341586	-0.639759434158615
76	39	33.7977658876726	5.20223411232737
77	37	35.2314866582049	1.7685133417951
78	34	34.2191916651596	-0.219191665159578
79	28	34.8409640677505	-6.84096406775047
80	37	34.7553843402268	2.24461565977315
81	33	34.9565889738187	-1.95658897381871
82	37	35.1728161966829	1.82718380331713
83	35	35.0722138798869	-0.0722138798869423
84	37	35.0571912906146	1.94280870938536
85	32	34.8250834699903	-2.82508346999026
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	-0.053333831803046
91	31	34.9367144550276	-3.93671445502757
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	4.03238235793991
97	37	34.2659754499523	2.73402455004768
98	35	34.5770950516057	0.422904948394340
99	37	35.2734185134788	1.7265814865212
100	32	34.8670153252642	-2.86701532526416
101	38	35.4786170681016	2.52138293189841
102	37	34.1185893483636	2.88141065163635
103	36	35.2782704429976	0.72172955700236
104	32	34.2492368437042	-2.24923684370419
105	33	34.5938336578538	-1.59383365785379
106	40	33.5436007305655	6.45639926943451
107	38	35.1150037436488	2.88499625635124
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	-0.387777094743091
119	33	34.8401060592626	-1.84010605926256
120	38	34.5669243918522	3.43307560814781
121	33	34.1764018013978	-1.17640180139777
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	3.70053022900751
128	44	35.2575379157186	8.74246208428142
129	33	35.3691689007559	-2.36916890075589
130	35	34.7672710169561	0.23272898304386
131	32	34.4923733325699	-2.49237333256995
132	28	33.4120952267370	-5.41209522673704
133	40	34.7196292236755	5.28037077632451
134	27	34.6516461108879	-7.6516461108879
135	37	34.8987765207846	2.10122347921541
136	32	34.9415663845464	-2.94156638454640
137	28	33.4081013057061	-5.40810130570611
138	34	34.551043794092	-0.551043794091976
139	30	33.8864815277393	-3.88648152773927
140	35	34.6618167706414	0.338183229358628
141	31	34.3608678287415	-3.36086782874150
142	32	34.7196292236755	-2.71962922367549
143	30	34.7204872321634	-4.7204872321634
144	30	34.9614409033375	-4.96144090333755
145	31	34.8250834699903	-3.82508346999026
146	40	34.8202315404714	5.17976845952858
147	32	35.130884341409	-3.13088434140897
148	36	34.2073049884303	1.79269501156971
149	32	34.4813446643286	-2.48134466432857
150	35	33.3225215781825	1.67747842181751
151	38	34.688726036643	3.31127396335703
152	42	34.3665777667482	7.63342223325176
153	34	35.009549497334	-1.00954949733399
154	35	33.9813739065284	1.01862609347155
155	35	33.2488285273882	1.75117147261185
156	33	33.9403000597425	-0.940300059742459
157	36	34.6295887744051	1.37041122559485
158	32	34.1825785401203	-2.18257854012031
159	33	35.3691689007559	-2.36916890075589
160	34	34.6816912894325	-0.681691289432515
161	32	33.7818852899124	-1.78188528991241
162	34	34.0559249658107	-0.0559249658106935

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.929659075304176	0.140681849391648	0.0703409246958238
8	0.870659096202935	0.258681807594131	0.129340903797065
9	0.789247800990526	0.421504398018948	0.210752199009474
10	0.709257444500983	0.581485110998034	0.290742555499017
11	0.611716275015885	0.776567449968231	0.388283724984115
12	0.546414132086728	0.907171735826544	0.453585867913272
13	0.615502417731021	0.768995164537958	0.384497582268979
14	0.572283549892069	0.855432900215863	0.427716450107931
15	0.562643120204438	0.874713759591125	0.437356879795562
16	0.563675151147817	0.872649697704366	0.436324848852183
17	0.480453028170067	0.960906056340135	0.519546971829933
18	0.427044418069858	0.854088836139716	0.572955581930142
19	0.445541698715246	0.891083397430493	0.554458301284754
20	0.477776092827349	0.955552185654698	0.522223907172651
21	0.503182229559139	0.993635540881721	0.496817770440861
22	0.504026072219558	0.991947855560884	0.495973927780442
23	0.54238850291575	0.9152229941685	0.45761149708425
24	0.4983318596401	0.9966637192802	0.5016681403599
25	0.47411112254217	0.94822224508434	0.52588887745783
26	0.63711736104083	0.725765277918341	0.362882638959170
27	0.576501885845466	0.846996228309068	0.423498114154534
28	0.541675568639671	0.916648862720659	0.458324431360329
29	0.513347789517614	0.973304420964772	0.486652210482386
30	0.469563960907513	0.939127921815027	0.530436039092487
31	0.521579432448997	0.956841135102007	0.478420567551003
32	0.775578328763467	0.448843342473066	0.224421671236533
33	0.738096671700776	0.523806656598449	0.261903328299224
34	0.696928626117837	0.606142747764325	0.303071373882163
35	0.650615577725834	0.698768844548332	0.349384422274166
36	0.645413598920836	0.709172802158329	0.354586401079164
37	0.664139219925207	0.671721560149587	0.335860780074794
38	0.61542630920037	0.769147381599261	0.384573690799631
39	0.725094717009548	0.549810565980904	0.274905282990452
40	0.678922828913816	0.642154342172368	0.321077171086184
41	0.646442291919472	0.707115416161056	0.353557708080528
42	0.600730356358704	0.798539287282592	0.399269643641296
43	0.564906732629371	0.870186534741257	0.435093267370629
44	0.515481570987828	0.969036858024345	0.484518429012172
45	0.515223764955728	0.969552470088543	0.484776235044272
46	0.487067172979462	0.974134345958924	0.512932827020538
47	0.46021890192189	0.92043780384378	0.53978109807811
48	0.430102492103342	0.860204984206684	0.569897507896658
49	0.387117413364016	0.774234826728031	0.612882586635984
50	0.374499592713922	0.748999185427844	0.625500407286078
51	0.391166892716288	0.782333785432576	0.608833107283712
52	0.370182859611675	0.74036571922335	0.629817140388325
53	0.342961528924919	0.685923057849837	0.657038471075081
54	0.301976939677099	0.603953879354198	0.698023060322901
55	0.271077993748264	0.542155987496528	0.728922006251736
56	0.261819797258597	0.523639594517193	0.738180202741404
57	0.276049623517292	0.552099247034583	0.723950376482708
58	0.388770682990081	0.777541365980163	0.611229317009919
59	0.364720468220205	0.729440936440411	0.635279531779795
60	0.323217218768644	0.646434437537289	0.676782781231356
61	0.310408084757566	0.620816169515132	0.689591915242434
62	0.30685008340367	0.61370016680734	0.69314991659633
63	0.271285499836134	0.542570999672269	0.728714500163866
64	0.276472241149980	0.552944482299959	0.72352775885002
65	0.241226403061807	0.482452806123615	0.758773596938193
66	0.209027901411611	0.418055802823223	0.790972098588389
67	0.185709249004259	0.371418498008517	0.814290750995741
68	0.210012882542759	0.420025765085518	0.789987117457241
69	0.226743413606226	0.453486827212451	0.773256586393774
70	0.193376579617876	0.386753159235752	0.806623420382124
71	0.200637399154644	0.401274798309288	0.799362600845356
72	0.209869353670891	0.419738707341783	0.790130646329109
73	0.181833499278624	0.363666998557248	0.818166500721376
74	0.172226375646986	0.344452751293973	0.827773624353013
75	0.146371304117412	0.292742608234824	0.853628695882588
76	0.188497782331074	0.376995564662148	0.811502217668926
77	0.166309319711934	0.332618639423868	0.833690680288066
78	0.139389494361057	0.278778988722115	0.860610505638943
79	0.234878264398875	0.469756528797749	0.765121735601125
80	0.217628963400969	0.435257926801938	0.782371036599031
81	0.196034743237242	0.392069486474483	0.803965256762758
82	0.174842212121907	0.349684424243813	0.825157787878093
83	0.147645734139864	0.295291468279728	0.852354265860136
84	0.130780099348705	0.261560198697409	0.869219900651295
85	0.123175556672534	0.246351113345067	0.876824443327466
86	0.105326298547718	0.210652597095435	0.894673701452282
87	0.105609078996282	0.211218157992565	0.894390921003718
88	0.0908903995157503	0.181780799031501	0.90910960048425
89	0.122307145943384	0.244614291886768	0.877692854056616
90	0.10055412681049	0.20110825362098	0.89944587318951
91	0.108333499879953	0.216666999759906	0.891666500120047
92	0.0919990927796744	0.183998185559349	0.908000907220326
93	0.074465262774462	0.148930525548924	0.925534737225538
94	0.067555066199952	0.135110132399904	0.932444933800048
95	0.095894833910558	0.191789667821116	0.904105166089442
96	0.103869743271533	0.207739486543066	0.896130256728467
97	0.097269939459345	0.19453987891869	0.902730060540655
98	0.0791268860280628	0.158253772056126	0.920873113971937
99	0.0672596026400881	0.134519205280176	0.932740397359912
100	0.062115291120375	0.12423058224075	0.937884708879625
101	0.0568796836969933	0.113759367393987	0.943120316303007
102	0.0535074055376778	0.107014811075356	0.946492594462322
103	0.0431980249249869	0.0863960498499737	0.956801975075013
104	0.036811987385329	0.073623974770658	0.963188012614671
105	0.0297371472396313	0.0594742944792626	0.970262852760369
106	0.0600066483059899	0.120013296611980	0.93999335169401
107	0.0573193705671935	0.114638741134387	0.942680629432807
108	0.106455467811631	0.212910935623262	0.89354453218837
109	0.0969134288848662	0.193826857769732	0.903086571115134
110	0.409488382411401	0.818976764822803	0.590511617588599
111	0.438180369080629	0.876360738161258	0.561819630919371
112	0.416864543513918	0.833729087027837	0.583135456486082
113	0.394480384966523	0.788960769933046	0.605519615033477
114	0.363332514644952	0.726665029289904	0.636667485355048
115	0.331551949120912	0.663103898241824	0.668448050879088
116	0.301119590697997	0.602239181395993	0.698880409302003
117	0.263276291785773	0.526552583571545	0.736723708214227
118	0.223447729286098	0.446895458572196	0.776552270713902
119	0.200577048551343	0.401154097102685	0.799422951448657
120	0.226011608769766	0.452023217539532	0.773988391230234
121	0.190733300042144	0.381466600084288	0.809266699957856
122	0.180400905413666	0.360801810827333	0.819599094586334
123	0.177594013170332	0.355188026340664	0.822405986829668
124	0.153418652837038	0.306837305674077	0.846581347162962
125	0.128928756925719	0.257857513851438	0.87107124307428
126	0.127234034480165	0.25446806896033	0.872765965519835
127	0.124528061904202	0.249056123808403	0.875471938095798
128	0.390516466514242	0.781032933028484	0.609483533485758
129	0.346245166835564	0.692490333671128	0.653754833164436
130	0.302360382687314	0.604720765374629	0.697639617312686
131	0.278005716473108	0.556011432946217	0.721994283526892
132	0.318029218513993	0.636058437027986	0.681970781486007
133	0.406198916083822	0.812397832167644	0.593801083916178
134	0.569361466260225	0.86127706747955	0.430638533739775
135	0.560053903870438	0.879892192259125	0.439946096129562
136	0.510954730122379	0.978090539755242	0.489045269877621
137	0.628267178053729	0.743465643892542	0.371732821946271
138	0.561863954942012	0.876272090115975	0.438136045057988
139	0.600027969486316	0.799944061027368	0.399972030513684
140	0.540649215230144	0.918701569539713	0.459350784769856
141	0.522556801283205	0.95488639743359	0.477443198716795
142	0.470777055965781	0.941554111931561	0.529222944034219
143	0.520770445464045	0.95845910907191	0.479229554535955
144	0.589458416266228	0.821083167467544	0.410541583733772
145	0.62103273935169	0.75793452129662	0.37896726064831
146	0.793037218784583	0.413925562430834	0.206962781215417
147	0.81835606889633	0.36328786220734	0.18164393110367
148	0.752783778544037	0.494432442911925	0.247216221455963
149	0.765991940978936	0.468016118042128	0.234008059021064
150	0.676056936549415	0.64788612690117	0.323943063450585
151	0.811852270431641	0.376295459136718	0.188147729568359
152	0.995965614938796	0.00806877012240894	0.00403438506120447
153	0.987078569122982	0.0258428617540360	0.0129214308770180
154	0.985911722762896	0.0281765544742077	0.0140882772371038
155	0.980147880738194	0.0397042385236122	0.0198521192618061

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