Multiple Linear Regression - Estimated Regression Equation

Connected[t] = + 22.7909294318289 -0.21454833129549Gender[t] + 0.343580744918266Separate[t] + 0.0891602788754077Happiness[t] -0.0607029551704905Depression[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)	22.7909294318289	3.440933	6.6235	0	0
Gender	-0.21454833129549	0.542014	-0.3958	0.692764	0.346382
Separate	0.343580744918266	0.07267	4.7279	5e-06	3e-06
Happiness	0.0891602788754077	0.13129	0.6791	0.498069	0.249034
Depression	-0.0607029551704905	0.095179	-0.6378	0.524548	0.262274

Multiple Linear Regression - Regression Statistics
Multiple R	0.383141760036383
R-squared	0.146797608283777
Adjusted R-squared	0.125059967730498
F-TEST (value)	6.75315280533654
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	4.84525515964673e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.15703593935619
Sum Squared Residuals	1564.7995198147

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	41	35.937709518342	5.06229048165801
2	39	34.2935691195044	4.70643088049557
3	30	34.5180805366199	-4.5180805366199
4	31	34.2560335672952	-3.25603356729525
5	34	35.22612273464	-1.22612273464004
6	35	33.2021239295791	1.79787607042086
7	39	32.9256147522091	6.07438524779086
8	34	35.3112509836759	-1.31125098367586
9	36	35.1175334728035	0.882466527196508
10	37	35.9661668420468	1.03383315795318
11	38	34.1360793821767	3.86392061782327
12	36	35.2519997537278	0.748000246272162
13	38	34.5827656338695	3.41723436613051
14	39	35.9946241657517	3.00537583424826
15	33	36.0721757992662	-3.07217579926625
16	32	34.3129482147051	-2.31294821470508
17	36	33.9693674697868	2.03063253021319
18	38	36.2658933101386	1.73410668986139
19	39	36.2736637599784	2.72633624002163
20	32	33.9938426514126	-1.99384265141263
21	32	35.0945100164001	-3.09451001640014
22	31	33.1437575569468	-2.14375755694684
23	39	35.9377095183419	3.0622904816581
24	37	35.9815637951684	1.01843620483163
25	39	34.4189571719245	4.58104282807549
26	41	33.6125325199667	7.38746748003326
27	36	35.3605391278039	0.639460872196101
28	33	35.4120199079122	-2.41201990791216
29	33	34.187560162285	-1.187560162285
30	34	34.1061703332493	-0.106170333249348
31	31	32.8623314924215	-1.86233149242153
32	27	33.8195042357409	-6.81950423574092
33	37	33.9215310508812	3.07846894911876
34	34	35.7439920074695	-1.74399200746953
35	34	33.3429089351208	0.657091064879227
36	32	34.8554865034788	-2.85548650347884
37	29	32.8157675994686	-3.81576759946857
38	36	34.5235144039215	1.47648559607853
39	29	33.9215310508812	-4.92153105088124
40	35	34.4665997565116	0.533400243488365
41	37	34.3620425245147	2.63795747548533
42	34	34.2767204411604	-0.276720441160406
43	38	34.5119057585606	3.48809424143943
44	35	34.1346276569543	0.865372343045735
45	38	32.3842844665789	5.61571553342108
46	37	34.5787834917904	2.42121650820961
47	38	36.552559407647	1.44744059235295
48	33	34.7132497727147	-1.71324977271474
49	36	36.0230814894567	-0.0230814894566533
50	38	34.0623160564229	3.93768394357712
51	32	36.2374359864337	-4.2374359864337
52	32	33.2822059799503	-1.28220597995028
53	32	33.8026555573969	-1.8026555573969
54	34	35.6379830502501	-1.6379830502501
55	32	33.9731557775475	-1.97315577754747
56	37	33.9653853277077	3.03461467229229
57	39	34.6810041412492	4.31899585875084
58	29	34.8346556830557	-5.83465568305572
59	37	35.408181712391	1.59181828760898
60	35	34.2029571154065	0.797042884593449
61	30	31.6958650858384	-1.69586508583836
62	38	34.6887745910889	3.31122540891108
63	34	34.6394864469609	-0.639486446960881
64	31	34.7855613732461	-3.78556137324612
65	34	33.561101627619	0.438898372381043
66	35	35.512738944388	-0.512738944387985
67	36	34.3359716711084	1.66402832889157
68	30	32.1945490977857	-2.19454909778565
69	39	36.6533283318834	2.34667166811665
70	35	35.7764314732536	-0.776431473253552
71	38	35.4043934046304	2.59560659536963
72	31	35.9339212105812	-4.93392121058125
73	34	36.3097475869651	-2.30974758696508
74	38	37.3935662736086	0.606433726391422
75	34	32.3444123318315	1.65558766816845
76	39	32.5858223150515	6.41417768494847
77	37	35.8009066548794	1.19909334512063
78	34	33.1399692491862	0.86003075081382
79	28	33.7756499589144	-5.77564995891445
80	37	32.4658182421725	4.53418175782747
81	33	35.6149595938468	-2.61495959384676
82	37	36.4519843177292	0.548015682270812
83	35	35.8653979178105	-0.865397917810514
84	37	34.6126746827969	2.38732531720312
85	32	34.6525468175442	-2.65254681754424
86	33	33.4719413487435	-0.471941348743549
87	38	36.5242959182606	1.47570408173943
88	33	34.5633865386688	-1.56338653866884
89	29	33.6049559044454	-4.60495590444543
90	33	32.9886542899178	0.011345710082187
91	31	35.4573259099611	-4.4573259099611
92	36	33.6049559044454	2.39504409555457
93	35	36.9969090768016	-1.99690907680162
94	32	32.3197932036478	-0.319793203647771
95	29	33.2213091904613	-4.22130919046135
96	39	35.4895715414267	3.51042845857332
97	37	34.4858349051543	2.51416509484567
98	35	33.5933472590845	1.40665274091547
99	37	35.106118661761	1.89388133823896
100	32	35.6756625490172	-3.67566254901725
101	38	35.6394347754726	2.36056522452743
102	37	34.7003832364498	2.29961676355018
103	36	35.7724493311744	0.227550668825549
104	32	32.509672518999	-0.509672518998999
105	33	36.1276387214536	-3.12763872145361
106	40	33.2200512995573	6.77994870044268
107	38	35.1459907965084	2.85400920349159
108	41	36.3421870527491	4.6578129472509
109	36	34.5827656338695	1.41723436613051
110	43	36.2269559204675	6.77304407953255
111	30	34.5311409072033	-4.53114090720326
112	31	33.7702160916129	-2.77021609161288
113	32	36.9399944293918	-4.93999442939178
114	32	34.2522452595346	-2.25224525953459
115	37	34.9200276541705	2.07997234582953
116	37	34.3904998482196	2.60950015178041
117	33	36.5034650978375	-3.50346509783745
118	34	36.5641680530079	-2.56416805300794
119	33	35.0890761490986	-2.08907614909857
120	38	35.0684391629939	2.9315608370061
121	33	35.2336993501613	-2.23369935016135
122	31	32.0369154139	-1.03691541389999
123	38	36.4311534973061	1.56884650269393
124	37	36.2696816178993	0.730318382100729
125	33	33.6825075379599	-0.682507537959938
126	31	34.1913484700457	-3.19134847004565
127	39	34.601066037436	4.39893396256402
128	44	36.6701770102274	7.32982298977263
129	33	35.7570523780529	-2.7570523780529
130	35	34.2482631174555	0.751736882544511
131	32	34.4058968013411	-2.40589680134114
132	28	33.1593483443868	-5.15934834438683
133	40	35.80469496264	4.19530503735997
134	27	33.3106633036552	-6.3106633036552
135	37	36.2414181285128	0.758581871487201
136	32	32.9023974614873	-0.902397461487342
137	28	29.7197525874435	-1.71975258744352
138	34	35.0001097045416	-1.00010970454161
139	30	34.3966746262789	-4.39667462627892
140	35	34.7132497727147	0.286750227285264
141	31	35.0323553360072	-4.03235533600719
142	32	34.7739527278852	-2.77395272788523
143	30	34.8348495173742	-4.83484951737416
144	30	34.9069672835871	-4.9069672835871
145	31	31.0877069547388	-0.0877069547388094
146	40	33.7716678168353	6.22833218316465
147	32	32.3366418819918	-0.336641881991791
148	36	35.1369125680041	0.863087431995855
149	32	33.6295750326292	-1.6295750326292
150	35	33.2200512995573	1.77994870044268
151	38	36.459610821011	1.54038917898902
152	42	35.2014537186958	6.79854628130422
153	34	36.5126872728997	-2.51268727289968
154	35	36.1029697055094	-1.10296970550935
155	35	33.6926644580984	1.30733554190163
156	33	33.0792662940157	-0.0792662940156892
157	36	33.6049559044454	2.39504409555457
158	32	35.4727228630827	-3.47272286308265
159	33	35.7570523780529	-2.7570523780529
160	34	33.9691736354684	0.0308263645316305
161	32	34.3644289948133	-2.36442899481334
162	34	34.918575928948	-0.918575928948

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.941764158047929	0.116471683904141	0.0582358419520706
9	0.886193500365481	0.227612999269038	0.113806499634519
10	0.810395386464338	0.379209227071324	0.189604613535662
11	0.766537783828966	0.466924432342068	0.233462216171034
12	0.729991640920712	0.540016718158575	0.270008359079288
13	0.778379901427888	0.443240197144224	0.221620098572112
14	0.718403633650205	0.56319273269959	0.281596366349795
15	0.766211133081327	0.467577733837345	0.233788866918673
16	0.776359330761139	0.447281338477722	0.223640669238861
17	0.714049831812868	0.571900336374264	0.285950168187132
18	0.651809940140957	0.696380119718086	0.348190059859043
19	0.629275950660937	0.741448098678125	0.370724049339063
20	0.621864083910465	0.756271832179071	0.378135916089535
21	0.653517561501968	0.692964876996064	0.346482438498032
22	0.604131876520251	0.791736246959498	0.395868123479749
23	0.586315258291915	0.827369483416171	0.413684741708085
24	0.518321987177432	0.963356025645135	0.481678012822568
25	0.534267191047747	0.931465617904505	0.465732808952253
26	0.786716414686403	0.426567170627194	0.213283585313597
27	0.737012285802555	0.525975428394891	0.262987714197445
28	0.734609664531211	0.530780670937579	0.265390335468789
29	0.705502579006383	0.588994841987234	0.294497420993617
30	0.656490121525057	0.687019756949886	0.343509878474943
31	0.643029445577085	0.71394110884583	0.356970554422915
32	0.823349953821586	0.353300092356828	0.176650046178414
33	0.806042921025735	0.387914157948531	0.193957078974265
34	0.787502839026657	0.424994321946687	0.212497160973344
35	0.744703647041558	0.510592705916884	0.255296352958442
36	0.736322064674927	0.527355870650146	0.263677935325073
37	0.741354548462039	0.517290903075923	0.258645451537962
38	0.706249722805122	0.587500554389756	0.293750277194878
39	0.782306206983023	0.435387586033954	0.217693793016977
40	0.741632813329034	0.516734373341933	0.258367186670967
41	0.725420609589073	0.549158780821854	0.274579390410927
42	0.680394758117603	0.639210483764795	0.319605241882397
43	0.68089355440115	0.6382128911977	0.31910644559885
44	0.636014044005907	0.727971911988187	0.363985955994094
45	0.708020548809794	0.583958902380412	0.291979451190206
46	0.678845084541171	0.642309830917658	0.321154915458829
47	0.637235429746496	0.725529140507008	0.362764570253504
48	0.614252812275662	0.771494375448676	0.385747187724338
49	0.564789609819379	0.870420780361242	0.435210390180621
50	0.580819455873037	0.838361088253926	0.419180544126963
51	0.630324844931428	0.739350310137145	0.369675155068572
52	0.592474046163051	0.815051907673898	0.407525953836949
53	0.558103716757855	0.88379256648429	0.441896283242145
54	0.524705727993338	0.950588544013324	0.475294272006662
55	0.500647637606974	0.998704724786052	0.499352362393026
56	0.487184719721832	0.974369439443664	0.512815280278168
57	0.519486608950528	0.961026782098944	0.480513391049472
58	0.652030829227494	0.695938341545011	0.347969170772506
59	0.618224795932249	0.763550408135503	0.381775204067751
60	0.573898254053219	0.852203491893561	0.426101745946781
61	0.54087424578414	0.91825150843172	0.45912575421586
62	0.54375825963692	0.91248348072616	0.45624174036308
63	0.500780555304525	0.998438889390951	0.499219444695475
64	0.52221525705493	0.955569485890139	0.47778474294507
65	0.476152212573075	0.95230442514615	0.523847787426925
66	0.430782679294136	0.861565358588271	0.569217320705865
67	0.398027876302955	0.796055752605911	0.601972123697045
68	0.377802706758483	0.755605413516966	0.622197293241517
69	0.356315790533908	0.712631581067816	0.643684209466092
70	0.316035395933504	0.632070791867009	0.683964604066496
71	0.302296295038753	0.604592590077505	0.697703704961247
72	0.363442707997344	0.726885415994687	0.636557292002656
73	0.342876240331806	0.685752480663611	0.657123759668194
74	0.303215972108944	0.606431944217887	0.696784027891056
75	0.275393814349768	0.550787628699536	0.724606185650232
76	0.398946740327753	0.797893480655506	0.601053259672247
77	0.360732787788265	0.72146557557653	0.639267212211735
78	0.321181598083449	0.642363196166897	0.678818401916551
79	0.42040229912242	0.84080459824484	0.57959770087758
80	0.474964574718529	0.949929149437059	0.525035425281471
81	0.456490566119657	0.912981132239314	0.543509433880343
82	0.413715603396819	0.827431206793638	0.586284396603181
83	0.373537309048154	0.747074618096308	0.626462690951846
84	0.356143076911906	0.712286153823812	0.643856923088094
85	0.344262848967266	0.688525697934533	0.655737151032734
86	0.305554406638248	0.611108813276495	0.694445593361752
87	0.276297077536288	0.552594155072575	0.723702922463712
88	0.247897268590154	0.495794537180309	0.752102731409846
89	0.28886588102065	0.577731762041299	0.711134118979351
90	0.250660968792137	0.501321937584274	0.749339031207863
91	0.29043950045579	0.58087900091158	0.70956049954421
92	0.273847216379238	0.547694432758475	0.726152783620762
93	0.252414910255074	0.504829820510148	0.747585089744926
94	0.217765024393595	0.435530048787191	0.782234975606405
95	0.237973431607391	0.475946863214783	0.762026568392609
96	0.245177893653281	0.490355787306562	0.754822106346719
97	0.231756004818011	0.463512009636023	0.768243995181989
98	0.207586690749127	0.415173381498254	0.792413309250873
99	0.186798396097676	0.373596792195351	0.813201603902324
100	0.192768993225638	0.385537986451276	0.807231006774362
101	0.178957533738979	0.357915067477958	0.821042466261021
102	0.164850202386123	0.329700404772245	0.835149797613877
103	0.137169344748031	0.274338689496062	0.862830655251969
104	0.115187664590596	0.230375329181192	0.884812335409404
105	0.118604121351461	0.237208242702921	0.881395878648539
106	0.243391225210267	0.486782450420534	0.756608774789733
107	0.235907826856802	0.471815653713603	0.764092173143198
108	0.273674161294888	0.547348322589777	0.726325838705112
109	0.258461115624775	0.51692223124955	0.741538884375225
110	0.440724907972214	0.881449815944428	0.559275092027786
111	0.488529157826598	0.977058315653197	0.511470842173402
112	0.465514944326266	0.931029888652531	0.534485055673734
113	0.522890879704069	0.954218240591862	0.477109120295931
114	0.486706276782254	0.973412553564508	0.513293723217746
115	0.453050625958369	0.906101251916738	0.546949374041631
116	0.453950576938298	0.907901153876596	0.546049423061702
117	0.4600066896105	0.920013379221	0.5399933103895
118	0.443130068077056	0.886260136154111	0.556869931922944
119	0.417332832734956	0.834665665469913	0.582667167265044
120	0.4121253655172	0.824250731034399	0.5878746344828
121	0.382990936310109	0.765981872620217	0.617009063689891
122	0.336776088105583	0.673552176211165	0.663223911894417
123	0.29733482076384	0.594669641527681	0.70266517923616
124	0.253144927467424	0.506289854934848	0.746855072532576
125	0.213592756786271	0.427185513572543	0.786407243213729
126	0.221416346968687	0.442832693937373	0.778583653031313
127	0.301955593134842	0.603911186269685	0.698044406865158
128	0.559908156876272	0.880183686247456	0.440091843123728
129	0.527632004538455	0.94473599092309	0.472367995461545
130	0.471739358597535	0.943478717195069	0.528260641402465
131	0.422498649760017	0.844997299520034	0.577501350239983
132	0.461610909834701	0.923221819669401	0.538389090165299
133	0.525350034611951	0.949299930776098	0.474649965388049
134	0.622047599487443	0.755904801025113	0.377952400512557
135	0.604574758813679	0.790850482372641	0.395425241186321
136	0.542876526604858	0.914246946790284	0.457123473395142
137	0.515297760158462	0.969404479683076	0.484702239841538
138	0.450704188303647	0.901408376607294	0.549295811696353
139	0.543780995600601	0.912438008798799	0.456219004399399
140	0.47508623711912	0.95017247423824	0.52491376288088
141	0.448193952531664	0.896387905063328	0.551806047468336
142	0.412073833892026	0.824147667784051	0.587926166107974
143	0.433673797182064	0.867347594364127	0.566326202817936
144	0.540660849589096	0.918678300821808	0.459339150410904
145	0.45762252276249	0.915245045524981	0.54237747723751
146	0.739947166888869	0.520105666222261	0.260052833111131
147	0.661593302598055	0.67681339480389	0.338406697401945
148	0.577469484329098	0.845061031341804	0.422530515670902
149	0.477868224991762	0.955736449983524	0.522131775008238
150	0.381459274316311	0.762918548632622	0.618540725683689
151	0.336250021685973	0.672500043371946	0.663749978314027
152	0.954104908742433	0.0917901825151336	0.0458950912575668
153	0.89447997523698	0.21104004952604	0.10552002476302
154	0.81438329380727	0.37123341238546	0.18561670619273

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	0	0	OK
10% type I error level	1	0.00680272108843537	OK