Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 8.54853477092724 + 0.560576936242611FutureWorrying[t] + 0.180694868140083SleepDepri[t] + 0.370198914198844`ChangesLastYear `[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)	8.54853477092724	0.815364	10.4843	0	0
FutureWorrying	0.560576936242611	0.161834	3.4639	0.000705	0.000353
SleepDepri	0.180694868140083	0.139625	1.2941	0.197731	0.098866
`ChangesLastYear `	0.370198914198844	0.132157	2.8012	0.005807	0.002903

Multiple Linear Regression - Regression Statistics
Multiple R	0.429714387280119
R-squared	0.184654454635528
Adjusted R-squared	0.167306677074582
F-TEST (value)	10.6442715204758
F-TEST (DF numerator)	3
F-TEST (DF denominator)	141
p-value	2.36843207934712e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.88513121245315
Sum Squared Residuals	1173.68147794307

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.7961044212760	-0.796104421275987
2	11	12.6145355771509	-1.61453557715087
3	14	15.2076759285128	-1.20767592851279
4	12	11.8829469266719	0.117053073328147
5	21	15.7682528647554	5.2317471352446
6	12	13.3566813575186	-1.35668135751857
7	22	15.7682528647554	6.2317471352446
8	11	12.8330890849207	-1.83308908492068
9	10	12.4443978388995	-2.44439783889948
10	13	12.9952916212384	0.00470837876159409
11	10	13.5356282736886	-3.53562827368864
12	8	12.4443978388995	-4.44439783889948
13	15	14.1076363158050	0.892363684195048
14	10	12.8057875751796	-2.80578757517965
15	14	12.4532070168182	1.54679298318184
16	14	11.3320531443329	2.66794685566707
17	11	13.1759864893785	-2.17598648937849
18	10	13.5470593795623	-3.54705937956234
19	13	14.8462861922326	-1.84628619223262
20	7	10.4012772938915	-3.40127729389148
21	12	13.3566813575186	-1.35668135751857
22	14	12.9944176452534	1.00558235474660
23	11	13.5558685574810	-2.55586855748102
24	9	11.5039388345543	-2.50393883455434
25	11	12.6250927070396	-1.62509270703956
26	15	13.1839216913122	1.81607830868784
27	13	12.9952916212384	0.00470837876159409
28	9	10.2205824257514	-1.22058242575139
29	15	10.9609802541491	4.03901974585092
30	10	12.2637029707594	-2.26370297075940
31	11	10.7714762080903	0.228523791909679
32	13	12.0627678188269	0.937232181173065
33	8	10.7714762080903	-2.77147620809032
34	20	14.4760872780338	5.52391272196622
35	12	13.1936048452158	-1.19360484521584
36	10	10.0213952257890	-0.0213952257889494
37	10	13.1847956672972	-3.18479566729717
38	9	12.9750513374460	-3.97505133744603
39	14	14.8647785240550	-0.864778524054984
40	8	11.8547714409458	-3.85477144094581
41	14	12.2452106389370	1.75478936106297
42	11	12.9847344913497	-1.98473449134971
43	13	11.3223699904292	1.67763000957075
44	11	12.6339018849582	-1.63390188495824
45	11	11.6934428806131	-0.6934428806131
46	10	12.4347146849958	-2.43471468499579
47	14	11.3320531443329	2.66794685566707
48	18	13.5470593795623	4.45294062043766
49	14	12.6154095531359	1.38459044686412
50	11	12.6250927070396	-1.62509270703956
51	12	11.4942556806507	0.505744319349345
52	13	12.9952916212384	0.00470837876159409
53	9	13.5638037594147	-4.56380375941469
54	10	12.6233447550695	-2.62334475506955
55	15	12.9952916212384	2.00470837876159
56	20	14.1076363158050	5.89236368419505
57	12	11.8838209026569	0.116179097343133
58	12	11.6749505487907	0.325049451209262
59	14	12.2443366629520	1.75566333704797
60	13	15.5875579966153	-2.58755799661532
61	11	15.0375381902614	-4.0375381902614
62	17	12.8137227771133	4.18627722288669
63	12	12.0645157707970	-0.064515770796951
64	13	12.7961044212760	0.203895578724038
65	14	13.3566813575186	0.643318642481427
66	13	11.3135608125106	1.68643918748943
67	15	13.1654293594898	1.83457064051020
68	13	11.5039388345543	1.49606116544566
69	10	13.9155103417912	-3.91551034179117
70	11	11.3320531443329	-0.332053144332932
71	13	12.4347146849958	0.565285315004206
72	17	14.1155715177386	2.88442848226138
73	13	12.9750513374460	0.0249486625539705
74	9	12.4347146849958	-3.43471468499579
75	11	12.6339018849582	-1.63390188495824
76	10	10.9521710762304	-0.952171076230404
77	9	10.2020900939290	-1.20209009392903
78	12	10.4012772938915	1.59872270610852
79	12	12.4532070168182	-0.453207016818155
80	13	12.4347146849958	0.565285315004206
81	13	12.6242187310546	0.375781268945446
82	22	14.1067623398199	7.89323766018006
83	13	11.6828857507244	1.31711424927559
84	15	12.6154095531359	2.38459044686412
85	13	13.9251934956949	-0.925193495694853
86	15	11.1416751222892	3.85832487771084
87	10	11.5039388345543	-1.50393883455434
88	11	11.3320531443329	-0.332053144332932
89	16	13.9172582937612	2.08274170623882
90	11	11.9023132344792	-0.902313234479228
91	11	12.0733249487156	-1.07332494871563
92	10	12.4347146849958	-2.43471468499579
93	10	14.2865832319750	-4.28658323197502
94	16	14.2865832319750	1.71341676802498
95	12	13.0137839530608	-1.01378395306077
96	11	13.9260674716799	-2.92606747167986
97	16	14.1058883638349	1.89411163616506
98	19	14.86565250004	4.13434749996001
99	11	14.6567821461739	-3.65678214617386
100	15	12.9952916212384	2.00470837876159
101	24	16.3288298009980	7.67117019900198
102	14	11.9023132344792	2.09768676552077
103	15	13.3663645114223	1.63363548857774
104	11	14.8559693461363	-3.85596934613631
105	15	14.2769000780713	0.723099921928664
106	12	12.4532070168182	-0.453207016818155
107	10	10.5634798302092	-0.5634798302092
108	14	13.9172582937612	0.0827417062388157
109	9	12.6250927070396	-3.62509270703956
110	15	10.7714762080903	4.22852379190968
111	15	9.66000548950878	5.33999451049122
112	14	13.0041007991571	0.995899200842917
113	11	13.5646777353997	-2.56467773539969
114	8	14.1146975417536	-6.11469754175361
115	11	13.7356894496361	-2.73568944963609
116	8	11.5224311663767	-3.5224311663767
117	10	11.1328659443705	-1.13286594437049
118	11	13.1654293594898	-2.16542935948980
119	13	13.3549334055486	-0.354933405548557
120	11	13.3654905354372	-2.36549053543725
121	20	12.4426498869295	7.55735011307054
122	10	11.3223699904292	-1.32236999042925
123	12	10.7714762080903	1.22852379190968
124	14	12.4250315310921	1.57496846890789
125	23	13.5558685574810	9.44413144251899
126	14	13.9251934956949	0.074806504305147
127	16	14.8471601682176	1.15283983178237
128	11	12.9838605153647	-1.98386051536471
129	12	13.9163843177762	-1.91638431777618
130	10	13.1936048452158	-3.19360484521584
131	14	13.2024140231345	0.797585976865481
132	12	9.66000548950878	2.33999451049122
133	12	13.1751125133935	-1.17511251339348
134	11	10.4012772938915	0.598722706108523
135	12	12.0539586409083	-0.0539586409082586
136	13	15.7779360186591	-2.77793601865909
137	17	15.7682528647554	1.23174713524460
138	11	12.6250927070396	-1.62509270703956
139	12	13.3654905354372	-1.36549053543725
140	19	14.1058883638349	4.89411163616506
141	15	12.6154095531359	2.38459044686412
142	14	12.7952304452910	1.20476955470905
143	11	13.1654293594898	-2.16542935948980
144	9	10.781159361994	-1.78115936199401
145	18	10.9521710762304	7.0478289237696

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.458824769443197	0.917649538886395	0.541175230556803
8	0.590701198109492	0.818597603781016	0.409298801890508
9	0.452972908809231	0.905945817618462	0.547027091190769
10	0.340007509283943	0.680015018567886	0.659992490716057
11	0.398498646130724	0.796997292261447	0.601501353869276
12	0.401118347768767	0.802236695537534	0.598881652231233
13	0.301940651280588	0.603881302561177	0.698059348719412
14	0.234987188903122	0.469974377806243	0.765012811096878
15	0.246778702917462	0.493557405834924	0.753221297082538
16	0.442362471886078	0.884724943772155	0.557637528113922
17	0.373250808855499	0.746501617710998	0.626749191144501
18	0.344018990219372	0.688037980438745	0.655981009780628
19	0.426399793962275	0.85279958792455	0.573600206037725
20	0.364545266483076	0.729090532966151	0.635454733516924
21	0.297575339019236	0.595150678038472	0.702424660980764
22	0.249337503068879	0.498675006137758	0.750662496931121
23	0.228857249726254	0.457714499452507	0.771142750273746
24	0.185382813905219	0.370765627810437	0.814617186094781
25	0.144536248646019	0.289072497292037	0.855463751353981
26	0.116637873556113	0.233275747112226	0.883362126443887
27	0.0906895871578033	0.181379174315607	0.909310412842197
28	0.07006657982486	0.14013315964972	0.92993342017514
29	0.122067408479204	0.244134816958408	0.877932591520796
30	0.102230279018676	0.204460558037353	0.897769720981324
31	0.0804021135787568	0.160804227157514	0.919597886421243
32	0.0599217314056022	0.119843462811204	0.940078268594398
33	0.0527881995046754	0.105576399009351	0.947211800495325
34	0.0842827758351092	0.168565551670218	0.915717224164891
35	0.0822457115031314	0.164491423006263	0.917754288496869
36	0.0735687517224782	0.147137503444956	0.926431248277522
37	0.0817893235240026	0.163578647048005	0.918210676475997
38	0.121911541437965	0.243823082875931	0.878088458562035
39	0.136078396038300	0.272156792076600	0.8639216039617
40	0.136265168107606	0.272530336215211	0.863734831892394
41	0.156624518663854	0.313249037327707	0.843375481336146
42	0.137992044088388	0.275984088176776	0.862007955911612
43	0.131132175007055	0.262264350014109	0.868867824992945
44	0.110293959799801	0.220587919599602	0.889706040200199
45	0.0884357960372729	0.176871592074546	0.911564203962727
46	0.0769143468393809	0.153828693678762	0.923085653160619
47	0.0845814692315355	0.169162938463071	0.915418530768465
48	0.16162463901846	0.32324927803692	0.83837536098154
49	0.149548123491409	0.299096246982818	0.85045187650859
50	0.127470995489404	0.254941990978808	0.872529004510596
51	0.111715789708023	0.223431579416045	0.888284210291977
52	0.0898812377844314	0.179762475568863	0.910118762215569
53	0.140528453210783	0.281056906421565	0.859471546789218
54	0.134708848701941	0.269417697403881	0.86529115129806
55	0.12645822781481	0.25291645562962	0.87354177218519
56	0.234542067559909	0.469084135119817	0.765457932440091
57	0.200155715853522	0.400311431707043	0.799844284146478
58	0.171664252151724	0.343328504303447	0.828335747848276
59	0.157057897544235	0.31411579508847	0.842942102455765
60	0.158898948595193	0.317797897190387	0.841101051404807
61	0.195056463448841	0.390112926897682	0.804943536551159
62	0.242674380469038	0.485348760938077	0.757325619530962
63	0.207069302496112	0.414138604992223	0.792930697503888
64	0.174679057547849	0.349358115095697	0.825320942452151
65	0.146566176503607	0.293132353007214	0.853433823496393
66	0.131795148448131	0.263590296896263	0.868204851551869
67	0.117104624075766	0.234209248151532	0.882895375924234
68	0.101809552680755	0.203619105361511	0.898190447319245
69	0.12052723884733	0.24105447769466	0.87947276115267
70	0.0984444572004572	0.196888914400914	0.901555542799543
71	0.0799379897538406	0.159875979507681	0.92006201024616
72	0.0803111248304155	0.160622249660831	0.919688875169585
73	0.0637525148069527	0.127505029613905	0.936247485193047
74	0.0703029165614604	0.140605833122921	0.92969708343854
75	0.059691141402782	0.119382282805564	0.940308858597218
76	0.0481486757403183	0.0962973514806366	0.951851324259682
77	0.039681895125515	0.07936379025103	0.960318104874485
78	0.0338731644693073	0.0677463289386147	0.966126835530693
79	0.0259425019936332	0.0518850039872664	0.974057498006367
80	0.0197392849415114	0.0394785698830228	0.980260715058489
81	0.0147370627574538	0.0294741255149076	0.985262937242546
82	0.0782512694934268	0.156502538986854	0.921748730506573
83	0.0653034841662615	0.130606968332523	0.934696515833739
84	0.0596595973497838	0.119319194699568	0.940340402650216
85	0.0477131533530734	0.0954263067061467	0.952286846646927
86	0.0569670264067438	0.113934052813488	0.943032973593256
87	0.0479922775560483	0.0959845551120966	0.952007722443952
88	0.037343017907429	0.074686035814858	0.962656982092571
89	0.0323894664397676	0.0647789328795352	0.967610533560232
90	0.0252832915972011	0.0505665831944021	0.9747167084028
91	0.0198030141463689	0.0396060282927378	0.980196985853631
92	0.0183505406083837	0.0367010812167675	0.981649459391616
93	0.0256813432176321	0.0513626864352642	0.974318656782368
94	0.0209798917322477	0.0419597834644954	0.979020108267752
95	0.0161674875904217	0.0323349751808434	0.983832512409578
96	0.0163898039087561	0.0327796078175123	0.983610196091244
97	0.0134625151350017	0.0269250302700034	0.986537484864998
98	0.0183593990826017	0.0367187981652034	0.981640600917398
99	0.0212388082495160	0.0424776164990321	0.978761191750484
100	0.0174425986043405	0.0348851972086809	0.98255740139566
101	0.103433409761724	0.206866819523448	0.896566590238276
102	0.0905291255918982	0.181058251183796	0.909470874408102
103	0.0769944195878728	0.153988839175746	0.923005580412127
104	0.0831838404421036	0.166367680884207	0.916816159557896
105	0.0664597881264364	0.132919576252873	0.933540211873564
106	0.0512384162706615	0.102476832541323	0.948761583729338
107	0.0425623129303484	0.0851246258606968	0.957437687069652
108	0.0318060720226579	0.0636121440453158	0.968193927977342
109	0.0390744426031815	0.078148885206363	0.960925557396819
110	0.0444779308878464	0.0889558617756928	0.955522069112154
111	0.0637728947452416	0.127545789490483	0.936227105254758
112	0.0495832686782799	0.0991665373565598	0.95041673132172
113	0.044100107691157	0.088200215382314	0.955899892308843
114	0.0918680731672902	0.183736146334580	0.90813192683271
115	0.0890045388350971	0.178009077670194	0.910995461164903
116	0.118825817577716	0.237651635155431	0.881174182422285
117	0.100834973439770	0.201669946879540	0.89916502656023
118	0.0883792564629646	0.176758512925929	0.911620743537035
119	0.0660601237547806	0.132120247509561	0.93393987624522
120	0.0660172951087403	0.132034590217481	0.93398270489126
121	0.262038727951130	0.524077455902259	0.73796127204887
122	0.226962991914899	0.453925983829799	0.7730370080851
123	0.179863671507538	0.359727343015077	0.820136328492462
124	0.139601568062757	0.279203136125515	0.860398431937243
125	0.616422319860439	0.767155360279123	0.383577680139561
126	0.541547402433071	0.916905195133858	0.458452597566929
127	0.493631836748067	0.987263673496135	0.506368163251933
128	0.509550832181917	0.980898335636165	0.490449167818083
129	0.450440020274383	0.900880040548766	0.549559979725617
130	0.45570736624589	0.91141473249178	0.54429263375411
131	0.367669490928367	0.735338981856733	0.632330509071633
132	0.287562434806123	0.575124869612247	0.712437565193877
133	0.231930696982042	0.463861393964083	0.768069303017958
134	0.165257017404869	0.330514034809737	0.834742982595131
135	0.139449294309605	0.27889858861921	0.860550705690395
136	0.103393614393758	0.206787228787517	0.896606385606242
137	0.0573712854695485	0.114742570939097	0.942628714530451
138	0.0307545039215344	0.0615090078430687	0.969245496078466

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	11	0.0833333333333333	NOK
10% type I error level	28	0.212121212121212	NOK