Multiple Linear Regression - Estimated Regression Equation

depression [t] = + 25.3447561551434 -0.0454400451710284connected[t] + 0.0250330389066207separate[t] -0.139283873401028software[t] -0.724176490936219happiness[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)	25.3447561551434	2.796597	9.0627	0	0
connected	-0.0454400451710284	0.067353	-0.6747	0.500887	0.250444
separate	0.0250330389066207	0.064118	0.3904	0.696756	0.348378
software	-0.139283873401028	0.098685	-1.4114	0.160105	0.080052
happiness	-0.724176490936219	0.09162	-7.9041	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.554367749190105
R-squared	0.307323601342103
Adjusted R-squared	0.28967579500687
F-TEST (value)	17.4142664252013
F-TEST (DF numerator)	4
F-TEST (DF denominator)	157
p-value	7.61624097123104e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.66846383081789
Sum Squared Residuals	1117.94977697217

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.6230924276635	-0.623092427663517
2	11	9.80635219422193	1.19364780577807
3	14	14.8025116604305	-0.802511660430473
4	12	15.2363839071192	-3.23638390711923
5	21	11.3285028496806	9.67149715031944
6	12	10.0522971315872	1.94770286841279
7	22	12.5387412456592	9.46125875434084
8	11	12.6125389192453	-1.61253891924535
9	10	12.0510170458625	-2.05101704586251
10	13	12.9163793578175	0.083620642182491
11	10	10.6902195648236	-0.690219564823586
12	8	9.12927804321101	-1.12927804321101
13	15	15.5810194102016	-0.58101941020155
14	14	11.4049034095341	2.59509659046591
15	10	9.64702216617709	0.352977833822907
16	14	12.9068876396696	1.0931123603304
17	14	12.9786621668809	1.02133783311908
18	11	10.5868830903679	0.413116909632125
19	10	12.8532563914065	-2.85325639140653
20	13	11.4335016188905	1.56649838110946
21	7	10.1494655493258	-3.14946554932575
22	14	15.074791079836	-1.07479107983605
23	12	12.5746886446045	-0.574688644604477
24	14	14.4175225025276	-0.417522502527649
25	11	10.8090964319602	0.190903568039795
26	9	15.9544927755038	-6.95449277550379
27	11	11.6054083017283	-0.605408301728345
28	15	12.683012003323	2.316987996677
29	14	12.1372711035624	1.86272889643765
30	13	15.2671047689383	-2.26710476893826
31	9	11.3788095084351	-2.37880950843509
32	15	14.3903668111585	0.609633188841548
33	10	10.7356596099946	-0.735659609994614
34	11	12.1919632140178	-1.19196321401781
35	13	12.7409084326077	0.259091567392319
36	8	12.1549540248023	-4.1549540248023
37	20	17.4497273924567	2.55027260754329
38	12	12.0009509680493	-0.000950968049267134
39	10	11.0991799713628	-1.09917997136284
40	10	13.7733117418948	-3.77331174189479
41	9	12.2090456307737	-3.20904563077367
42	14	11.3676545674551	2.6323454325449
43	8	10.7430097276613	-2.74300972766129
44	14	14.497488232831	-0.497488232831009
45	11	14.2360029027848	-3.23600290278482
46	13	14.9022829644364	-1.90228296443636
47	9	11.9209852377459	-2.92098523774591
48	11	12.30158801587	-1.30158801587
49	15	10.817047054111	4.18295294588904
50	11	13.333390820673	-2.33339082067303
51	10	11.3051321055282	-1.30513210552821
52	14	13.1103562697518	0.889643730248206
53	18	15.0794171124783	2.92058288752174
54	14	14.2502418523321	-0.250241852332058
55	11	15.3051946964426	-4.30519469644261
56	12	12.7661811243778	-0.766181124377785
57	13	11.1654873805066	1.83451261949342
58	9	12.3440643231531	-3.34406432315309
59	10	14.3424233858078	-4.34242338580779
60	15	14.5225212717376	0.47747872826237
61	20	17.914080848101	2.08591915189899
62	12	13.3834568984863	-1.38345689848627
63	12	14.7600353531474	-2.76003535314739
64	14	13.1416776360549	0.858322363945102
65	13	12.0417649805781	0.958235019421918
66	11	15.6281217501268	-4.62812175012685
67	17	14.6691552628053	2.33084473719467
68	12	14.4352063518454	-2.4352063518454
69	13	12.0398621048825	0.960137895117473
70	14	12.1465231688468	1.85347683115322
71	13	13.2664819789674	-0.266481978967403
72	15	11.7684237709023	3.23157622909768
73	13	11.963461545029	1.03653845497101
74	10	11.8317674421581	-1.83176744215812
75	11	13.389985806824	-2.38998580682404
76	19	14.3799128088281	4.62008719117194
77	13	10.4680062232313	2.53199377676875
78	17	13.6294018358515	3.37059816414845
79	13	12.3144052516043	0.685594748395747
80	9	13.253665671311	-4.25366567131095
81	11	12.2123702202822	-1.21237022028221
82	10	11.3564996264751	-1.35649962647512
83	9	12.1465231688468	-3.14652316884678
84	12	11.231334431942	0.768665568057981
85	12	12.347028061041	-0.347028061041029
86	13	13.0899492634874	-0.0899492634873859
87	13	12.47812073135	0.521879268649982
88	12	12.8864806334052	-0.886480633405193
89	15	13.7423512272123	1.25764877278772
90	22	17.9306830310521	4.06931696894789
91	13	11.2727489489549	1.72725105104508
92	15	13.006419290812	1.993580709188
93	13	12.2466553244733	0.753344675526739
94	15	12.7817224451365	2.2182775548635
95	10	13.692285149399	-3.69228514939904
96	11	11.4941212051219	-0.49412120512188
97	16	14.0388226000991	1.96117739990089
98	11	13.1383530465464	-2.13835304654636
99	11	10.5321909799124	0.46780902008758
100	10	12.5363780122553	-2.5363780122553
101	10	10.2582492657526	-0.258249265752578
102	16	14.3173903469012	1.68260965309883
103	12	10.9590550125364	1.04094498746355
104	11	15.0935357913462	-4.09353579134618
105	16	12.4267532104031	3.5732467895969
106	19	16.1392166940758	2.86078330592415
107	11	11.2359604645842	-0.235960464584232
108	16	11.9239489756338	4.07605102436615
109	15	15.8111833739446	-0.811183373944633
110	24	16.2254698236979	7.77453017630211
111	14	12.2986242779821	1.70137572201794
112	15	14.8462894108472	0.15371058915277
113	11	13.9706123152598	-2.97061231525981
114	15	13.0461715130706	1.95382848692937
115	12	10.0865822357783	1.91341776422174
116	10	11.0670175196344	-1.06701751963437
117	14	12.8973949934439	1.10260500655611
118	13	13.548374315278	-0.548374315277999
119	9	13.0507975457128	-4.05079754571284
120	15	12.7093464853633	2.29065351463671
121	15	14.5492166053985	0.450783394601479
122	14	12.6628455779999	1.33715442200012
123	11	12.0602691111469	-1.06026911114693
124	8	11.8021083706093	-3.80210837060929
125	11	11.9479211523481	-0.947921152348084
126	11	13.2586525555738	-2.25865255557376
127	8	10.6698125585592	-2.66981255855918
128	10	10.4785597316494	-0.478559731649353
129	11	9.73351587674042	1.26648412325958
130	13	12.1856748866213	0.814325113378677
131	11	13.9096318774079	-2.90963187740788
132	20	16.8237811095292	3.17621889047078
133	10	12.4764584365957	-2.47645843659575
134	15	12.4740961312697	2.52590386873031
135	12	12.0806761174113	-0.0806761174113421
136	14	11.3584025021707	2.64159749782932
137	23	15.4036654853926	7.59633451460737
138	14	13.0053575005418	0.994642499458187
139	16	15.4989310274356	0.501068972564388
140	11	12.628559545731	-1.62855954573103
141	12	14.1444218737932	-2.14442187379317
142	10	12.7648796812441	-2.76487968124411
143	14	11.9922994072489	2.00770059275108
144	12	12.6299821876218	-0.629982187621815
145	12	12.1171046782392	-0.11710467823923
146	11	11.6020837122198	-0.602083712219804
147	12	11.1690525509564	0.83094744904359
148	13	14.972756048514	-1.97275604851401
149	11	14.3051745437288	-3.3051745437288
150	19	16.7842685401341	2.21573145986593
151	12	12.0325119872159	-0.0325119872158539
152	17	13.137511961121	3.86248803887901
153	9	11.9106713821913	-2.91067138219129
154	12	15.2048219598748	-3.20482195987484
155	19	16.9736184913483	2.02638150865166
156	18	14.0926935012257	3.90730649877434
157	15	13.006419290812	1.993580709188
158	14	13.8427230357022	0.15727696429775
159	11	9.73351587674042	1.26648412325958
160	9	13.6544348747582	-4.65443487475817
161	18	14.9624421929594	3.03755780704061
162	16	14.1724186505877	1.82758134941226

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.999816127303907	0.000367745392186283	0.000183872696093141
9	0.999806076393772	0.000387847212456957	0.000193923606228478
10	0.999588386954431	0.000823226091138788	0.000411613045569394
11	0.999486935290695	0.00102612941860992	0.000513064709304961
12	0.999386240463163	0.00122751907367448	0.00061375953683724
13	0.998889915089879	0.00222016982024147	0.00111008491012074
14	0.998125307758977	0.00374938448204683	0.00187469224102342
15	0.996750609580112	0.00649878083977523	0.00324939041988762
16	0.994407250968322	0.0111854980633563	0.00559274903167814
17	0.990528908026041	0.0189421839479176	0.00947109197395881
18	0.985058397842419	0.0298832043151625	0.0149416021575812
19	0.985861420215119	0.0282771595697628	0.0141385797848814
20	0.978713367963872	0.042573264072255	0.0212866320361275
21	0.981191341353378	0.0376173172932432	0.0188086586466216
22	0.973495472587617	0.0530090548247652	0.0265045274123826
23	0.964537475126945	0.0709250497461107	0.0354625248730553
24	0.949739683627995	0.10052063274401	0.0502603163720051
25	0.932656537332983	0.134686925334034	0.0673434626670169
26	0.988153101599401	0.0236937968011978	0.0118468984005989
27	0.982971166850989	0.0340576662980222	0.0170288331490111
28	0.979413889401566	0.041172221196867	0.0205861105984335
29	0.973472395001407	0.0530552099971858	0.0265276049985929
30	0.965798710438283	0.0684025791234344	0.0342012895617172
31	0.965332276582269	0.0693354468354622	0.0346677234177311
32	0.956884950884568	0.0862300982308643	0.0431150491154322
33	0.944048660564904	0.111902678870191	0.0559513394350955
34	0.932045378134065	0.135909243731871	0.0679546218659353
35	0.912149826888902	0.175700346222196	0.0878501731110978
36	0.927718412710947	0.144563174578105	0.0722815872890526
37	0.950759525968686	0.0984809480626274	0.0492404740313137
38	0.935324255496447	0.129351489007106	0.0646757445035531
39	0.921404166626036	0.157191666747927	0.0785958333739637
40	0.930290420947132	0.139419158105736	0.0697095790528681
41	0.931921392968739	0.136157214062522	0.068078607031261
42	0.92806953628781	0.143860927424379	0.0719304637121896
43	0.929958301283774	0.140083397432451	0.0700416987162255
44	0.911765800620216	0.176468398759567	0.0882341993797836
45	0.907627341356638	0.184745317286724	0.0923726586433621
46	0.892008254484667	0.215983491030665	0.107991745515333
47	0.897438800706847	0.205122398586306	0.102561199293153
48	0.878708599385833	0.242582801228335	0.121291400614167
49	0.902687743344743	0.194624513310513	0.0973122566552567
50	0.891617512159854	0.216764975680291	0.108382487840146
51	0.879788846568075	0.240422306863849	0.120211153431925
52	0.859313948079545	0.281372103840911	0.140686051920455
53	0.872874009817321	0.254251980365358	0.127125990182679
54	0.845819483500516	0.308361032998968	0.154180516499484
55	0.873298197432888	0.253403605134223	0.126701802567112
56	0.851009111178446	0.297981777643109	0.148990888821554
57	0.836669493714582	0.326661012570836	0.163330506285418
58	0.855244787877701	0.289510424244599	0.144755212122299
59	0.88685043918444	0.22629912163112	0.11314956081556
60	0.867774092678818	0.264451814642363	0.132225907321182
61	0.876833334615781	0.246333330768439	0.123166665384219
62	0.857512350835736	0.284975298328527	0.142487649164264
63	0.855583568737895	0.288832862524209	0.144416431262105
64	0.830607046445576	0.338785907108849	0.169392953554424
65	0.803780502999856	0.392438994000287	0.196219497000144
66	0.856421116310996	0.287157767378008	0.143578883689004
67	0.856270612863254	0.287458774273493	0.143729387136746
68	0.852627035075276	0.294745929849448	0.147372964924724
69	0.828859010452401	0.342281979095198	0.171140989547599
70	0.813547932887593	0.372904134224813	0.186452067112407
71	0.783367386352989	0.433265227294023	0.216632613647011
72	0.799146846493354	0.401706307013292	0.200853153506646
73	0.771682526347057	0.456634947305886	0.228317473652943
74	0.753166903258641	0.493666193482718	0.246833096741359
75	0.749134894208585	0.501730211582829	0.250865105791415
76	0.825389891498522	0.349220217002956	0.174610108501478
77	0.824740699543879	0.350518600912243	0.175259300456122
78	0.842622665363822	0.314754669272356	0.157377334636178
79	0.81615766318937	0.367684673621261	0.18384233681063
80	0.870846998597667	0.258306002804666	0.129153001402333
81	0.850120274792225	0.29975945041555	0.149879725207775
82	0.829113839029268	0.341772321941464	0.170886160970732
83	0.839944843205202	0.320110313589596	0.160055156794798
84	0.812424188335236	0.375151623329529	0.187575811664764
85	0.780158838226387	0.439682323547225	0.219841161773613
86	0.745501317488467	0.508997365023065	0.254498682511533
87	0.708400588828435	0.58319882234313	0.291599411171565
88	0.672293765482384	0.655412469035233	0.327706234517616
89	0.640137915698818	0.719724168602363	0.359862084301182
90	0.695116127791401	0.609767744417199	0.3048838722086
91	0.678161940575495	0.643676118849011	0.321838059424505
92	0.656605969948616	0.686788060102768	0.343394030051384
93	0.620238985511399	0.759522028977203	0.379761014488601
94	0.601998996738198	0.796002006523604	0.398001003261802
95	0.646665064444445	0.706669871111109	0.353334935555555
96	0.604091138526574	0.791817722946852	0.395908861473426
97	0.579501309784543	0.840997380430913	0.420498690215457
98	0.57488426159627	0.85023147680746	0.42511573840373
99	0.529640057122199	0.940719885755602	0.470359942877801
100	0.520912029210452	0.958175941579096	0.479087970789548
101	0.474144082304932	0.948288164609864	0.525855917695068
102	0.442022315274037	0.884044630548073	0.557977684725963
103	0.409067229194397	0.818134458388794	0.590932770805603
104	0.52246330275263	0.95507339449474	0.47753669724737
105	0.591329617664006	0.817340764671989	0.408670382335994
106	0.578379583790431	0.843240832419138	0.421620416209569
107	0.530114190562063	0.939771618875875	0.469885809437937
108	0.613746336238467	0.772507327523066	0.386253663761533
109	0.584463236852965	0.831073526294071	0.415536763147036
110	0.874670190315108	0.250659619369785	0.125329809684892
111	0.861674026436575	0.276651947126851	0.138325973563425
112	0.831813595093646	0.336372809812708	0.168186404906354
113	0.825913039529336	0.348173920941327	0.174086960470664
114	0.808672546131748	0.382654907736504	0.191327453868252
115	0.802357057947576	0.395285884104848	0.197642942052424
116	0.768159398427806	0.463681203144388	0.231840601572194
117	0.761105450053513	0.477789099892973	0.238894549946487
118	0.721431098378996	0.557137803242008	0.278568901621004
119	0.773677750562075	0.45264449887585	0.226322249437925
120	0.782688548726081	0.434622902547838	0.217311451273919
121	0.744656616116517	0.510686767766965	0.255343383883483
122	0.70539622281729	0.589207554365419	0.29460377718271
123	0.662438555017039	0.675122889965923	0.337561444982961
124	0.665870120339802	0.668259759320395	0.334129879660198
125	0.623734920726583	0.752530158546834	0.376265079273417
126	0.618267279232997	0.763465441534006	0.381732720767003
127	0.625318705981917	0.749362588036166	0.374681294018083
128	0.578060615937146	0.843878768125709	0.421939384062854
129	0.557928260733931	0.884143478532138	0.442071739266069
130	0.502618239022841	0.994763521954318	0.497381760977159
131	0.544564628710542	0.910870742578916	0.455435371289458
132	0.518935061703774	0.962129876592452	0.481064938296226
133	0.49374636396852	0.98749272793704	0.50625363603148
134	0.466881112630988	0.933762225261977	0.533118887369012
135	0.409310786070258	0.818621572140517	0.590689213929742
136	0.38459670407335	0.769193408146699	0.61540329592665
137	0.636250032250252	0.727499935499495	0.363749967749748
138	0.579719215681838	0.840561568636324	0.420280784318162
139	0.516614364315619	0.966771271368763	0.483385635684381
140	0.472649717396096	0.945299434792192	0.527350282603904
141	0.429928532305659	0.859857064611319	0.570071467694341
142	0.427100794040816	0.854201588081632	0.572899205959184
143	0.412641413662369	0.825282827324737	0.587358586337631
144	0.339714808987483	0.679429617974966	0.660285191012517
145	0.272969832207766	0.545939664415532	0.727030167792234
146	0.370888914219656	0.741777828439312	0.629111085780344
147	0.29646939584388	0.592938791687759	0.70353060415612
148	0.227336023361751	0.454672046723502	0.772663976638249
149	0.253702053066798	0.507404106133596	0.746297946933202
150	0.181021856666405	0.36204371333281	0.818978143333595
151	0.126581530224796	0.253163060449592	0.873418469775204
152	0.158489381457291	0.316978762914583	0.841510618542709
153	0.109794292831809	0.219588585663618	0.890205707168191
154	0.0998860283819693	0.199772056763939	0.900113971618031

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	8	0.054421768707483	NOK
5% type I error level	17	0.115646258503401	NOK
10% type I error level	24	0.163265306122449	NOK