Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 22.9070089772566 + 0.337244626201584Separate[t] + 0.0776091365912538Happiness[t] -0.0673773059892156`Depression `[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)	22.9070089772566	3.419253	6.6994	0	0
Separate	0.337244626201584	0.070696	4.7703	4e-06	2e-06
Happiness	0.0776091365912538	0.127664	0.6079	0.544115	0.272057
`Depression `	-0.0673773059892156	0.093423	-0.7212	0.471849	0.235925

Multiple Linear Regression - Regression Statistics
Multiple R	0.382028942494835
R-squared	0.145946112903722
Adjusted R-squared	0.12972989985759
F-TEST (value)	9.00001205512868
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	1.54117388050379e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.14859943609898
Sum Squared Residuals	1566.36118862245

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	36.0003050133238	4.99969498667616
2	39	34.3546511084685	4.64534889153152
3	30	34.6209891129668	-4.62098911296681
4	31	34.1588636091333	-3.15886360913333
5	34	35.2118829064017	-1.21188290640174
6	35	33.2755399238745	1.72446007612549
7	39	32.9658195700205	6.03418042997949
8	34	35.3931930669098	-1.3931930669098
9	36	35.2009348832887	0.799065116711313
10	37	36.0105368439258	0.989463156074208
11	38	34.0071746516649	3.99282534833514
12	36	35.3088814154305	0.69111858456945
13	38	34.4760026703863	3.52399732961366
14	39	36.0207686745278	2.97923132547217
15	33	36.1082515454656	-3.10825154546562
16	32	34.1793272703374	-2.1793272703374
17	36	33.8420826441358	2.15791735586418
18	38	36.3005097290867	1.69949027091327
19	39	36.1350596253022	2.86494037469782
20	32	34.0646782233075	-2.06467822330754
21	32	34.9614049586269	-2.96140495862693
22	31	33.2720106081605	-2.27201060816047
23	39	36.0003050133238	2.99969498667625
24	37	36.0475767543644	0.952423245635601
25	39	34.2770419718772	4.72295802812277
26	41	33.7909234911256	7.20907650887437
27	36	35.2111667138907	0.788833286109275
28	33	35.4609284691545	-2.46092846915452
29	33	34.2569364069287	-1.25693640692866
30	34	34.0138771665529	-0.0138771665528577
31	31	32.9852089424581	-1.98520894245807
32	27	33.6970962015554	-6.69709620155535
33	37	34.0071746516649	2.99282534833514
34	34	35.8080468297026	-1.80804682970264
35	34	33.2349706977219	0.765029302278133
36	32	34.7388093794552	-2.7388093794552
37	29	32.7125284990427	-3.71252849904267
38	36	34.3916910189071	1.60830898109291
39	29	34.0071746516649	-5.00717465166486
40	35	34.371227357703	0.628772642296988
41	37	34.2565783106731	2.74342168932685
42	34	34.3345455435199	-0.334545543519911
43	38	34.4015647532536	3.59843524674638
44	35	34.0241089971549	0.975891002845104
45	38	32.5400177841146	5.45998221588538
46	37	34.688366418956	2.31163358104398
47	38	36.6172906940842	1.38270930591576
48	33	34.7963129510979	-1.79631295109789
49	36	36.0310005051299	-0.0310005051298684
50	38	33.9666054255122	4.03339457448779
51	32	36.2902778984847	-4.29027789848469
52	32	33.1675933917327	-1.16759339173265
53	32	33.6769906366068	-1.67699063660678
54	34	35.7103321281628	-1.71033212816281
55	32	33.888996288921	-1.88899628892096
56	37	34.0544463927055	2.9455536072945
57	39	34.7391674757107	4.26083252428929
58	29	34.9310675630763	-5.93106756307632
59	37	35.3053520997165	1.69464790028349
60	35	34.2939763173673	0.706023682632736
61	30	31.6231854838467	-1.62318548384667
62	38	34.5737173719262	3.42628262807384
63	34	34.7557437249452	-0.755743724945241
64	31	34.8538165227406	-3.85381652274057
65	34	33.6498244605147	0.350175539485295
66	35	35.4200011467464	-0.42000114674637
67	36	34.4188571949992	1.58114280500084
68	30	32.1353958519238	-2.13539585192382
69	39	36.685026096329	2.31497390367104
70	35	35.605914911735	-0.605914911734993
71	38	35.2584384549314	2.74156154506863
72	31	35.9533913685386	-4.95339136853861
73	34	36.3477814701274	-2.34778147012738
74	38	37.2244026404982	0.775597359501809
75	34	32.2803822945043	1.71961770549571
76	39	32.6754885886041	6.32451141139593
77	37	35.8285104909067	1.17148950909328
78	34	33.2250969633753	0.774903036624665
79	28	33.6498244605147	-5.6498244605147
80	37	32.4151369064827	4.58486309351728
81	33	35.4708022035011	-2.47080220350106
82	37	36.2902778984847	0.709722101515307
83	35	35.9428014416811	-0.942801441681071
84	37	34.4693001554983	2.53069984450166
85	32	34.7289356451087	-2.72893564510867
86	33	33.5722153239235	-0.572215323923451
87	38	36.3477814701274	1.65221852987262
88	33	34.6513265085174	-1.65132650851742
89	29	33.6970962015554	-4.69709620155535
90	33	33.0970448662849	-0.0970448662849019
91	31	35.4912658647051	-4.49126586470513
92	36	33.6970962015553	2.30290379844465
93	35	37.0222707225305	-2.02227072253054
94	32	32.4257268333403	-0.425726833340268
95	29	33.3594934790983	-4.35949347909826
96	39	35.5484113400923	3.45158865990769
97	37	34.5638436375796	2.43615636242037
98	35	33.7069699359019	1.29303006409812
99	37	34.9515312242804	2.0484687757196
100	32	35.5381795094903	-3.53817950949027
101	38	35.6933977826728	2.30660221732722
102	37	34.5638436375796	2.43615636242037
103	36	35.8182786603047	0.181721339695322
104	32	32.4624086475234	-0.462408647523369
105	33	36.1456495521597	-3.14564955215973
106	40	33.1171504312335	6.88284956876653
107	38	35.2111667138907	2.78883328610927
108	41	36.1456495521597	4.85435044784027
109	36	34.4760026703863	1.52399732961366
110	43	36.2303192998945	6.76968070010551
111	30	34.5941810331302	-4.59418103313024
112	31	33.8791225545744	-2.87912255457443
113	32	37.0018070613265	-5.00180706132647
114	32	34.1119499643482	-2.11194996434819
115	37	34.9617630548824	2.03823694511757
116	37	34.2668101412752	2.73318985872481
117	33	36.5400396537485	-3.54003965374849
118	34	36.6074169597377	-2.60741695973771
119	33	35.1907030526867	-2.19070305268665
120	38	35.1236838429529	2.87631615704706
121	33	35.305710195972	-2.30571019597202
122	31	32.1558595131279	-1.1558595131279
123	38	36.4825360821058	1.51746391789419
124	37	36.3474233738719	0.65257662612813
125	33	33.7845790724931	-0.784579072493136
126	31	34.3038500517138	-3.3038500517138
127	39	34.4791738898449	4.52082611015513
128	44	36.7051316612775	7.29486833872247
129	33	35.7812387498661	-2.78123874986607
130	35	34.3243137129179	0.675686287082127
131	32	34.3038500517138	-2.3038500517138
132	28	33.0497731252443	-5.04977312524426
133	40	35.8754241356919	4.12457586430815
134	27	33.1778252223347	-6.17782522233469
135	37	36.077914149915	0.922085850084992
136	32	32.9855670387136	-0.985567038713576
137	28	29.6304132184433	-1.63041321844328
138	34	34.8538165227406	-0.853816522740571
139	30	34.4862345009884	-4.48623450098838
140	35	34.7963129510979	0.203687048902112
141	31	34.9109619981277	-3.91096199812775
142	32	34.8636902570871	-2.8636902570871
143	30	34.6717901697215	-4.67179016972149
144	30	34.988571134719	-4.988571134719
145	31	31.0192447568913	-0.0192447568912491
146	40	33.8621882090844	6.13781179091561
147	32	32.4458323982888	-0.445832398288839
148	36	35.0256110451576	0.974388954842391
149	32	33.5517516627194	-1.55175166271938
150	35	33.1171504312335	1.88284956876653
151	38	36.4927679127078	1.50723208729215
152	42	35.2485647205848	6.75143527941516
153	34	36.3576552044739	-2.35765520447391
154	35	36.1823313663428	-1.18233136634283
155	35	33.7916396836366	1.20836031636336
156	33	33.1577196573861	-0.157719657386119
157	36	33.6970962015553	2.30290379844465
158	32	35.5283057751437	-3.52830577514374
159	33	35.7812387498661	-2.78123874986607
160	34	34.1013600374906	-0.101360037490644
161	32	34.4290890256012	-2.4290890256012
162	34	34.9786974003725	-0.97869740037247

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.949349539726289	0.101300920547423	0.0506504602737114
8	0.905525078775361	0.188949842449278	0.094474921224639
9	0.838839852534193	0.322320294931613	0.161160147465807
10	0.754129367410767	0.491741265178465	0.245870632589233
11	0.680868783706503	0.638262432586995	0.319131216293497
12	0.64429926366364	0.71140147267272	0.35570073633636
13	0.727468812276755	0.54506237544649	0.272531187723245
14	0.670504190509307	0.658991618981385	0.329495809490693
15	0.716396055044387	0.567207889911226	0.283603944955613
16	0.717889570180806	0.564220859638388	0.282110429819194
17	0.651345786417521	0.697308427164957	0.348654213582479
18	0.587112676791767	0.825774646416466	0.412887323208233
19	0.582359169211523	0.835281661576953	0.417640830788477
20	0.594494982976983	0.811010034046033	0.405505017023017
21	0.601890857878446	0.796218284243109	0.398109142121554
22	0.566299882719799	0.867400234560403	0.433700117280201
23	0.542884430055066	0.914231139889868	0.457115569944934
24	0.474836356202295	0.94967271240459	0.525163643797705
25	0.516860294383012	0.966279411233976	0.483139705616988
26	0.750681650353156	0.498636699293689	0.249318349646844
27	0.698404886173081	0.603190227653838	0.301595113826919
28	0.69676809305039	0.60646381389922	0.30323190694961
29	0.666933505128886	0.666132989742227	0.333066494871114
30	0.61664631340656	0.76670737318688	0.38335368659344
31	0.606024373517688	0.787951252964624	0.393975626482312
32	0.799876814595839	0.400246370808323	0.200123185404161
33	0.783924418885583	0.432151162228834	0.216075581114417
34	0.762956291577229	0.474087416845542	0.237043708422771
35	0.718061252842547	0.563877494314906	0.281938747157453
36	0.715540633471421	0.568918733057159	0.284459366528579
37	0.726864819412978	0.546270361174043	0.273135180587022
38	0.687966507887204	0.624066984225592	0.312033492112796
39	0.760292668237811	0.479414663524377	0.239707331762189
40	0.717731310272271	0.564537379455458	0.282268689727729
41	0.70048305677061	0.59903388645878	0.29951694322939
42	0.654007902832543	0.691984194334915	0.345992097167457
43	0.655673149997782	0.688653700004436	0.344326850002218
44	0.610368917133151	0.779262165733697	0.389631082866849
45	0.688558594163891	0.622882811672217	0.311441405836109
46	0.659986283684429	0.680027432631142	0.340013716315571
47	0.617535648266098	0.764928703467803	0.382464351733902
48	0.591996974242401	0.816006051515198	0.408003025757599
49	0.542393816863829	0.915212366272341	0.457606183136171
50	0.558385445343586	0.883229109312828	0.441614554656414
51	0.609042985302083	0.781914029395834	0.390957014697917
52	0.571565303273898	0.856869393452204	0.428434696726102
53	0.53758181977671	0.924836360446579	0.46241818022329
54	0.504046736736893	0.991906526526214	0.495953263263107
55	0.481620782216506	0.963241564433012	0.518379217783494
56	0.469823204876841	0.939646409753683	0.530176795123159
57	0.504346027794588	0.991307944410824	0.495653972205412
58	0.635122034583293	0.729755930833415	0.364877965416707
59	0.601377098703111	0.797245802593778	0.398622901296889
60	0.556715018910932	0.886569962178135	0.443284981089068
61	0.523047973398603	0.953904053202794	0.476952026601397
62	0.527518150722057	0.944963698555885	0.472481849277943
63	0.484503587243135	0.969007174486269	0.515496412756865
64	0.507722919556494	0.984554160887012	0.492277080443506
65	0.461692855649182	0.923385711298365	0.538307144350818
66	0.416868421035918	0.833736842071836	0.583131578964082
67	0.384258767958107	0.768517535916213	0.615741232041893
68	0.3640325121169	0.728065024233801	0.6359674878831
69	0.342526512698809	0.685053025397617	0.657473487301191
70	0.302846276071547	0.605692552143093	0.697153723928453
71	0.291639531396388	0.583279062792776	0.708360468603612
72	0.353547479710575	0.70709495942115	0.646452520289425
73	0.334128406960278	0.668256813920555	0.665871593039723
74	0.296001321123817	0.592002642247633	0.703998678876184
75	0.269645788030072	0.539291576060144	0.730354211969928
76	0.391435463762674	0.782870927525348	0.608564536237326
77	0.353570417080296	0.707140834160592	0.646429582919704
78	0.314126201590931	0.628252403181863	0.685873798409069
79	0.41091810150752	0.82183620301504	0.58908189849248
80	0.470506846772068	0.941013693544135	0.529493153227932
81	0.451647355205293	0.903294710410586	0.548352644794707
82	0.409459858363316	0.818919716726631	0.590540141636684
83	0.368982396131871	0.737964792263742	0.631017603868129
84	0.353934343421725	0.70786868684345	0.646065656578275
85	0.342358039761452	0.684716079522904	0.657641960238548
86	0.30352153010964	0.607043060219281	0.69647846989036
87	0.275480054088382	0.550960108176765	0.724519945911618
88	0.247619752341743	0.495239504683485	0.752380247658257
89	0.291097428935398	0.582194857870796	0.708902571064602
90	0.253007554468818	0.506015108937637	0.746992445531182
91	0.294440466721711	0.588880933443423	0.705559533278289
92	0.27708433620025	0.554168672400501	0.72291566379975
93	0.256111465718034	0.512222931436068	0.743888534281966
94	0.221501104676394	0.443002209352789	0.778498895323606
95	0.245451019418998	0.490902038837995	0.754548980581002
96	0.252134953238911	0.504269906477822	0.747865046761089
97	0.237756352580471	0.475512705160942	0.762243647419529
98	0.212314784505582	0.424629569011163	0.787685215494418
99	0.193449415904833	0.386898831809666	0.806550584095167
100	0.19686348275727	0.393726965514541	0.803136517242729
101	0.182546678258869	0.365093356517738	0.817453321741131
102	0.170669032629278	0.341338065258556	0.829330967370722
103	0.142477608092216	0.284955216184433	0.857522391907784
104	0.120222144411865	0.24044428882373	0.879777855588135
105	0.124403876817916	0.248807753635832	0.875596123182084
106	0.257075484319993	0.514150968639987	0.742924515680007
107	0.249353100650578	0.498706201301156	0.750646899349422
108	0.288700290192313	0.577400580384625	0.711299709807687
109	0.269649244220024	0.539298488440048	0.730350755779976
110	0.454037347645333	0.908074695290666	0.545962652354667
111	0.499563813643079	0.999127627286158	0.500436186356921
112	0.475883771030611	0.951767542061223	0.524116228969389
113	0.5328994628249	0.934201074350201	0.4671005371751
114	0.49884488629601	0.997689772592021	0.501155113703989
115	0.466341127152691	0.932682254305383	0.533658872847309
116	0.455811076602889	0.911622153205778	0.544188923397111
117	0.460988423445308	0.921976846890615	0.539011576554692
118	0.442919621830663	0.885839243661326	0.557080378169337
119	0.412355659318927	0.824711318637855	0.587644340681073
120	0.411874933525476	0.823749867050951	0.588125066474524
121	0.379465504219916	0.758931008439832	0.620534495780084
122	0.333773234175916	0.667546468351832	0.666226765824084
123	0.295757230033445	0.591514460066889	0.704242769966555
124	0.252024715216585	0.50404943043317	0.747975284783415
125	0.211593068706766	0.423186137413532	0.788406931293234
126	0.206869876929886	0.413739753859773	0.793130123070114
127	0.248390718429882	0.496781436859765	0.751609281570118
128	0.48838826084801	0.976776521696021	0.51161173915199
129	0.456109079741042	0.912218159482085	0.543890920258958
130	0.408940201924749	0.817880403849497	0.591059798075251
131	0.370390992259696	0.740781984519392	0.629609007740304
132	0.433303192388517	0.866606384777034	0.566696807611483
133	0.51353203680446	0.97293592639108	0.48646796319554
134	0.644140770810611	0.711718458378778	0.355859229189389
135	0.603776459483274	0.792447081033453	0.396223540516726
136	0.540696731401146	0.918606537197708	0.459303268598854
137	0.533251359942176	0.933497280115648	0.466748640057824
138	0.466196436735418	0.932392873470837	0.533803563264582
139	0.532870255875363	0.934259488249274	0.467129744124637
140	0.473181105968126	0.946362211936252	0.526818894031874
141	0.475383927901126	0.950767855802251	0.524616072098874
142	0.428502704517848	0.857005409035695	0.571497295482152
143	0.497580372239936	0.995160744479872	0.502419627760064
144	0.594787370432608	0.810425259134784	0.405212629567392
145	0.521833670705052	0.956332658589896	0.478166329294948
146	0.801809731067053	0.396380537865895	0.198190268932947
147	0.736414761227972	0.527170477544056	0.263585238772028
148	0.659641047021336	0.680717905957329	0.340358952978664
149	0.57090871075564	0.858182578488719	0.42909128924436
150	0.470254247457542	0.940508494915083	0.529745752542458
151	0.439673285865331	0.879346571730662	0.560326714134669
152	0.98060532818881	0.0387893436223798	0.0193946718111899
153	0.953308070718847	0.0933838585623061	0.0466919292811531
154	0.91662780684501	0.166744386309979	0.0833721931549897
155	0.851007095196505	0.297985809606991	0.148992904803495

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	0.00671140939597315	OK
10% type I error level	2	0.0134228187919463	OK