Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 13.7909534342014 -0.0552145384139858Concerns[t] + 0.0174589172036399Expectations[t] -0.068568336220047Criticism[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)	13.7909534342014	1.359126	10.1469	0	0
Concerns	-0.0552145384139858	0.090769	-0.6083	0.543865	0.271932
Expectations	0.0174589172036399	0.089364	0.1954	0.845356	0.422678
Criticism	-0.068568336220047	0.112304	-0.6106	0.542368	0.271184

Multiple Linear Regression - Regression Statistics
Multiple R	0.0755276090147059
R-squared	0.00570441972347828
Adjusted R-squared	-0.0131746102817722
F-TEST (value)	0.302156399025365
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.82380333166505
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.18811928962261
Sum Squared Residuals	1605.92852756847

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.3871779510051	-0.387177951005099
2	11	12.7572592423127	-1.75725924231265
3	14	13.207921106419	0.792078893581017
4	12	12.7544214555096	-0.754421455509589
5	21	12.9416291073528	8.05837089264724
6	12	12.9683367029649	-0.968336702964887
7	22	13.1565827944214	8.84341720557861
8	11	12.6213899024671	-1.62138990246707
9	10	12.637049472481	-2.63704947248097
10	13	12.9305810817545	0.0694189182454588
11	10	12.49476924103	-2.49476924102997
12	8	12.7220382862913	-4.72203828629133
13	15	12.8556018539291	2.14439814607092
14	14	12.7544214555096	1.24557854449041
15	10	12.8270949111272	-2.82709491112721
16	14	13.5577056937199	0.442294306280137
17	14	12.8340378173279	1.16596218267214
18	11	12.9927385263692	-1.99273852636917
19	10	13.1660603658111	-3.16606036581106
20	13	12.560499790447	0.439500209553045
21	7	12.5376684212512	-5.53766842125122
22	14	12.4675296308226	1.53247036917738
23	12	12.6470590584659	-0.64705905846587
24	14	12.6439923786816	1.35600762131838
25	11	12.8270949111272	-1.82709491112721
26	9	12.9940058589637	-3.99400585896368
27	11	13.1444963292098	-2.14449632920984
28	15	12.9038734861424	2.09612651385758
29	14	12.9562502377533	1.04374976224666
30	13	13.1095784948026	-0.10957849480256
31	9	12.984528287574	-3.98452828757401
32	15	12.1246879497224	2.87531205027761
33	10	13.1550123402128	-3.15501234021283
34	11	13.0787657797929	-2.07876577979286
35	13	12.973709154957	0.0262908450430216
36	8	12.6532410570901	-4.6532410570901
37	20	12.92931374916	7.07068625083997
38	12	12.7741861449211	-0.774186144921066
39	10	12.6198194482585	-2.61981944825852
40	10	12.8579076261369	-2.85790762613692
41	9	12.6465270438706	-3.64652704387064
42	14	12.9213324033461	1.07866759665394
43	8	12.9521451183558	-4.95214511835576
44	14	13.2305235826335	0.769476417366473
45	11	12.8648505323376	-1.86485053233756
46	13	12.7718803727132	0.228119627286771
47	9	12.5766913750561	-3.57669137505608
48	11	12.7636701339181	-1.76367013391807
49	15	12.8997683667448	2.10023163325516
50	11	12.8347731353271	-1.83477313532714
51	10	12.7205420607156	-2.72054206071563
52	14	12.9549829051588	1.04501709484117
53	18	12.8997683667448	5.10023163325516
54	14	13.2901463620591	0.709853637940868
55	11	12.3968844153759	-1.39688441537593
56	12	12.7341247515029	-0.734124751502883
57	13	12.8997683667448	0.10023163325516
58	9	13.1822519504202	-4.18225195042019
59	10	13.2523907408488	-3.25239074084879
60	15	12.6411545918785	2.35884540812145
61	20	12.8864145689388	7.11358543106122
62	12	13.0543639563886	-1.05436395638857
63	12	12.8928254605442	-0.892825460544195
64	14	12.5957207464683	1.40427925353172
65	13	13.0880144582013	-0.0880144582013413
66	11	12.9978820853801	-1.99788208538008
67	17	12.9927385263692	4.00726147363083
68	12	12.9724418223625	-0.972441822362466
69	13	12.8363435895357	0.163656410464303
70	14	12.8270949111272	1.17290508887279
71	13	13.0787657797929	-0.0787657797928587
72	15	12.971174489768	2.02882551023205
73	13	12.9387913205497	0.0612086794503014
74	10	12.5227441692366	-2.52274416923661
75	11	13.1444963292098	-2.14449632920984
76	19	12.8997683667448	6.10023163325516
77	13	12.8335058027326	0.166494197267369
78	17	12.7556887881041	4.2443112118959
79	13	12.7544214555096	0.245578544490411
80	9	12.9991494179746	-3.99914941797459
81	11	12.5592324578524	-1.55923245785244
82	10	13.1031676031971	-3.10316760319714
83	9	12.8067982071205	-3.80679820712051
84	12	12.9428964399473	-0.942896439947277
85	12	12.8147795529345	-0.814779552934478
86	13	12.9829578333655	0.0170421666345391
87	13	13.0880144582013	-0.0880144582013413
88	12	12.626533461478	-0.626533461477977
89	15	12.4477649414111	2.55223505858885
90	22	12.9683367029649	9.03166329703511
91	13	12.7138280474962	0.286171952503823
92	15	13.2431420624403	1.7568579375597
93	13	12.9978820853801	0.00211791461992434
94	15	13.0892817907959	1.91071820920415
95	10	12.8003873155151	-2.80038731551509
96	11	12.7826252766974	-1.78262527669741
97	16	12.5348306344482	3.46516936555184
98	11	12.5646049098445	-1.56460490984453
99	11	13.0235512413789	-2.02355124137887
100	10	12.9172272839485	-2.91722728394848
101	10	12.8150084459157	-2.81500844591567
102	16	13.2025486544269	2.79745134557311
103	12	12.9400586531442	-0.940058653144211
104	11	12.9254375227436	-1.92543752274364
105	16	12.5243146234452	3.47568537655484
106	19	12.8671563045454	6.1328436954546
107	11	13.0438479453856	-2.04384794538558
108	16	12.8353051499224	3.16469485007763
109	15	12.5255819560397	2.47441804396032
110	24	12.816046885529	11.183953114471
111	14	13.0787657797929	0.921234220207141
112	15	12.8057597675072	2.19424023249282
113	11	12.7521156833018	-1.75211568330175
114	15	12.9644604765485	2.0355395234515
115	12	12.8450858429261	-0.845085842926083
116	10	13.2333613694366	-3.23336136943659
117	14	13.207921106419	0.792078893581017
118	13	12.92931374916	0.0706862508399713
119	9	12.6627186284798	-3.66271862847977
120	15	13.0489915043965	1.95100849560352
121	15	13.0315325871928	1.96846741280716
122	14	12.9131221645509	1.0868778354491
123	11	12.508123038836	-1.50812303883604
124	8	13.0425806127911	-5.04258061279107
125	11	12.3463556500105	-1.34635565001047
126	11	12.9318484143491	-1.93184841434905
127	8	13.2495529540457	-5.24955295404572
128	10	12.8270949111272	-2.82709491112721
129	11	12.8661178649321	-1.86611786493207
130	13	12.6614512958853	0.338548704114743
131	11	12.6563077368744	-1.65630773687435
132	20	12.9549829051588	7.04501709484117
133	10	13.1432289966153	-3.14322899661533
134	15	13.2320940368421	1.76790596315792
135	12	12.8997683667448	-0.89976836674484
136	14	12.7366594166919	1.26334058330809
137	23	12.871261423943	10.128738576057
138	14	12.7382298709005	1.26177012909954
139	16	12.9416291073528	3.05837089264724
140	11	12.3912830704026	-1.39128307040265
141	12	12.5579651252579	-0.55796512525793
142	10	12.7045793690877	-2.70457936908769
143	14	12.065597184892	1.93440281510799
144	12	12.7421060973169	-0.742106097316853
145	12	12.6157143288609	-0.615714328860941
146	11	12.6881588914974	-1.68815889149738
147	12	12.973709154957	-0.973709154956978
148	13	13.0060923241752	-0.00609232417523302
149	11	12.8864145689388	-1.88641456893878
150	19	12.90797860554	6.09202139446
151	12	12.9793847285631	-0.97938472856311
152	17	12.6383168050755	4.36168319492451
153	9	13.0702524193837	-4.07025241938366
154	12	13.1270374120062	-1.1270374120062
155	19	12.6413834848597	6.35861651514026
156	18	13.1095784948026	4.89042150519744
157	15	12.6614512958853	2.33854870411474
158	14	12.6493648306737	1.35063516932629
159	11	12.142146866926	-1.14214686692603
160	14	12.5111897186203	1.48881028137971
161	11	12.5702804834507	-1.57028048345067
162	6	12.7898713045121	-6.7898713045121

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.974651261751625	0.05069747649675	0.025348738248375
8	0.948512880370103	0.102974239259795	0.0514871196298975
9	0.914716669781115	0.17056666043777	0.085283330218885
10	0.866160923918828	0.267678152162345	0.133839076081172
11	0.801930666455501	0.396138667088997	0.198069333544499
12	0.775999731111513	0.448000537776973	0.224000268888487
13	0.697630017491962	0.604739965016076	0.302369982508038
14	0.613011391718285	0.77397721656343	0.386988608281715
15	0.639553215927928	0.720893568144145	0.360446784072072
16	0.708178632377929	0.583642735244143	0.291821367622071
17	0.638699283547206	0.722601432905588	0.361300716452794
18	0.654803820608683	0.690392358782634	0.345196179391317
19	0.630945023056161	0.738109953887677	0.369054976943839
20	0.663036646197019	0.673926707605963	0.336963353802981
21	0.705701993636609	0.588596012726782	0.294298006363391
22	0.758511696025504	0.482976607948991	0.241488303974496
23	0.701553181029229	0.596893637941542	0.298446818970771
24	0.659972213609201	0.680055572781598	0.340027786390799
25	0.618306856403602	0.763386287192796	0.381693143596398
26	0.647594127455893	0.704811745088213	0.352405872544107
27	0.615908789184118	0.768182421631763	0.384091210815882
28	0.583443863140021	0.833112273719958	0.416556136859979
29	0.534373846420396	0.931252307159208	0.465626153579604
30	0.473939746463522	0.947879492927044	0.526060253536478
31	0.524948459359564	0.950103081280872	0.475051540640436
32	0.561016933183695	0.87796613363261	0.438983066816305
33	0.5350428171862	0.9299143656276	0.4649571828138
34	0.49974555355878	0.99949110711756	0.50025444644122
35	0.442504886931949	0.885009773863898	0.557495113068051
36	0.445156332257689	0.890312664515379	0.55484366774231
37	0.687694108057168	0.624611783885664	0.312305891942832
38	0.643064473216826	0.713871053566349	0.356935526783174
39	0.613168273132622	0.773663453734755	0.386831726867378
40	0.589939876238829	0.820120247522343	0.410060123761171
41	0.573568459220402	0.852863081559195	0.426431540779598
42	0.527408352886791	0.945183294226418	0.472591647113209
43	0.579627461897454	0.840745076205093	0.420372538102547
44	0.539551253708181	0.920897492583638	0.460448746291819
45	0.506124267092546	0.987751465814907	0.493875732907454
46	0.457059241032007	0.914118482064014	0.542940758967993
47	0.447588225737859	0.895176451475719	0.552411774262141
48	0.406050973341013	0.812101946682026	0.593949026658987
49	0.382103353027946	0.764206706055891	0.617896646972054
50	0.344884821842885	0.68976964368577	0.655115178157115
51	0.321154315910468	0.642308631820936	0.678845684089532
52	0.281999487492258	0.563998974984516	0.718000512507742
53	0.359555892339864	0.719111784679728	0.640444107660136
54	0.318123123730061	0.636246247460123	0.681876876269939
55	0.283754634133543	0.567509268267086	0.716245365866457
56	0.245925983450224	0.491851966900448	0.754074016549776
57	0.209236970005526	0.418473940011051	0.790763029994474
58	0.236597005383572	0.473194010767143	0.763402994616428
59	0.251247193275952	0.502494386551905	0.748752806724048
60	0.25538666491623	0.510773329832461	0.74461333508377
61	0.429681309438431	0.859362618876862	0.570318690561569
62	0.387614517644756	0.775229035289513	0.612385482355244
63	0.347039735021967	0.694079470043933	0.652960264978033
64	0.312759370941594	0.625518741883189	0.687240629058406
65	0.27290638645681	0.545812772913621	0.72709361354319
66	0.249045719068763	0.498091438137526	0.750954280931237
67	0.266290536750746	0.532581073501492	0.733709463249254
68	0.232896982529178	0.465793965058356	0.767103017470822
69	0.200999526679646	0.401999053359292	0.799000473320354
70	0.174271920490181	0.348543840980363	0.825728079509819
71	0.146143933412148	0.292287866824295	0.853856066587852
72	0.129198249364859	0.258396498729717	0.870801750635141
73	0.106412201915964	0.212824403831928	0.893587798084036
74	0.0976140627941058	0.195228125588212	0.902385937205894
75	0.0867319901841951	0.17346398036839	0.913268009815805
76	0.150209703604941	0.300419407209882	0.849790296395059
77	0.130249581527995	0.260499163055989	0.869750418472005
78	0.156281077283789	0.312562154567578	0.843718922716211
79	0.130445155921339	0.260890311842678	0.869554844078661
80	0.145371592494154	0.290743184988308	0.854628407505846
81	0.126586988876484	0.253173977752968	0.873413011123516
82	0.133120702359466	0.266241404718933	0.866879297640534
83	0.145034637070882	0.290069274141763	0.854965362929119
84	0.122740270183044	0.245480540366087	0.877259729816956
85	0.10360771262827	0.20721542525654	0.89639228737173
86	0.087127539728944	0.174255079457888	0.912872460271056
87	0.0708566090509772	0.141713218101954	0.929143390949023
88	0.057439736661121	0.114879473322242	0.94256026333888
89	0.0533561430794602	0.10671228615892	0.94664385692054
90	0.212282062553519	0.424564125107038	0.787717937446481
91	0.184767537068918	0.369535074137837	0.815232462931082
92	0.168505494497614	0.337010988995228	0.831494505502386
93	0.14129425417453	0.28258850834906	0.85870574582547
94	0.126370244160916	0.252740488321831	0.873629755839084
95	0.122449852207645	0.24489970441529	0.877550147792355
96	0.108937090243947	0.217874180487894	0.891062909756053
97	0.113813159174538	0.227626318349075	0.886186840825462
98	0.100530994181124	0.201061988362248	0.899469005818876
99	0.0894257299378796	0.178851459875759	0.91057427006212
100	0.0878364394618957	0.175672878923791	0.912163560538104
101	0.0853174199999694	0.170634839999939	0.914682580000031
102	0.0803720789872222	0.160744157974444	0.919627921012778
103	0.0674477393981239	0.134895478796248	0.932552260601876
104	0.058728027449451	0.117456054898902	0.94127197255055
105	0.0603488242404242	0.120697648480848	0.939651175759576
106	0.101161251318755	0.202322502637511	0.898838748681245
107	0.0889855662684295	0.177971132536859	0.91101443373157
108	0.0880300474406345	0.176060094881269	0.911969952559366
109	0.0788551076168684	0.157710215233737	0.921144892383132
110	0.445897097907275	0.89179419581455	0.554102902092726
111	0.4016978694963	0.8033957389926	0.5983021305037
112	0.3744408754422	0.7488817508844	0.6255591245578
113	0.337943160611457	0.675886321222915	0.662056839388543
114	0.307310924970682	0.614621849941364	0.692689075029318
115	0.269477336637555	0.53895467327511	0.730522663362445
116	0.273442921051707	0.546885842103415	0.726557078948292
117	0.233955178508218	0.467910357016435	0.766044821491782
118	0.197015163509287	0.394030327018574	0.802984836490713
119	0.218079659077871	0.436159318155743	0.781920340922129
120	0.196719337871606	0.393438675743213	0.803280662128394
121	0.181721595793763	0.363443191587526	0.818278404206237
122	0.152483549007171	0.304967098014342	0.847516450992829
123	0.13015476226554	0.260309524531079	0.86984523773446
124	0.148745804090228	0.297491608180456	0.851254195909772
125	0.124718516862101	0.249437033724203	0.875281483137899
126	0.115763317028594	0.231526634057189	0.884236682971406
127	0.165920038267034	0.331840076534069	0.834079961732966
128	0.158733834613207	0.317467669226413	0.841266165386793
129	0.142407067252172	0.284814134504343	0.857592932747828
130	0.112702229725513	0.225404459451027	0.887297770274487
131	0.0939812961633866	0.187962592326773	0.906018703836613
132	0.196076952307092	0.392153904614184	0.803923047692908
133	0.204967156408419	0.409934312816839	0.79503284359158
134	0.171112097359414	0.342224194718828	0.828887902640586
135	0.139012858713566	0.278025717427133	0.860987141286434
136	0.110951380699197	0.221902761398394	0.889048619300803
137	0.488183280057995	0.97636656011599	0.511816719942005
138	0.429965463049503	0.859930926099007	0.570034536950497
139	0.435559125498837	0.871118250997674	0.564440874501163
140	0.372349974280828	0.744699948561656	0.627650025719172
141	0.307494094434442	0.614988188868884	0.692505905565558
142	0.29785302549804	0.59570605099608	0.70214697450196
143	0.240347696445575	0.480695392891149	0.759652303554425
144	0.18524648904097	0.37049297808194	0.81475351095903
145	0.147347348894566	0.294694697789133	0.852652651105434
146	0.123494176029723	0.246988352059445	0.876505823970277
147	0.0953965365282338	0.190793073056468	0.904603463471766
148	0.0639322637634996	0.127864527526999	0.9360677362365
149	0.0456857684368893	0.0913715368737786	0.95431423156311
150	0.10891074214513	0.217821484290259	0.89108925785487
151	0.0704802080659097	0.140960416131819	0.92951979193409
152	0.0511236432225465	0.102247286445093	0.948876356777454
153	0.42019806537384	0.84039613074768	0.57980193462616
154	0.84053406699164	0.318931866016719	0.159465933008359
155	0.729182094352706	0.541635811294588	0.270817905647294

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	2	0.0134228187919463	OK