Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 14.1649413765651 -0.229535622522770Concerns[t] -0.0358463929726011Criticism[t] -0.00365780052241122Expectat[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)	14.1649413765651	1.194343	11.86	0	0
Concerns	-0.229535622522770	0.212105	-1.0822	0.280854	0.140427
Criticism	-0.0358463929726011	0.233418	-0.1536	0.878147	0.439074
Expectat	-0.00365780052241122	0.184625	-0.0198	0.984219	0.492109

Multiple Linear Regression - Regression Statistics
Multiple R	0.0994157252602019
R-squared	0.00988348642901194
Adjusted R-squared	-0.00928005899494266
F-TEST (value)	0.515744149131063
F-TEST (DF numerator)	3
F-TEST (DF denominator)	155
p-value	0.672036190260502
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.15996396263658
Sum Squared Residuals	1547.73269800009

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.7132063164855	-0.713206316485528
2	11	12.7233540167187	-1.72335401671874
3	14	13.1182291346477	0.881770865352333
4	12	13.0851243119716	-1.08512431197155
5	21	13.0635433149628	7.93645668503716
6	12	13.1912039569446	-1.19120395694455
7	22	13.0631739486464	8.93682605135356
8	11	13.1213400712606	-2.12134007126055
9	10	13.0993897079354	-3.09938970793544
10	13	13.1434679321788	-0.14346793217879
11	10	12.7536267402065	-2.75362674020648
12	8	12.4185583366202	-4.41855833662024
13	15	12.7949598339627	2.2050401660373
14	14	13.0851243119716	0.914875688028448
15	10	13.2439703474763	-3.24397034747629
16	14	13.4460689058903	0.553931094109673
17	14	12.9083550799805	1.09164492001948
18	11	13.2439703474763	-2.24397034747629
19	10	12.9984309576203	-2.99843095762031
20	13	12.3528991153682	0.64710088463182
21	7	12.6063009701785	-5.60630097017851
22	14	12.1903952793410	1.80960472065897
23	12	12.8275177927293	-0.827517792729288
24	14	12.4194710066555	1.58052899334448
25	11	13.0373882872058	-2.03738828720579
26	9	13.1498708631883	-4.14987086318833
27	11	13.0200119546290	-2.02001195462902
28	15	12.9010394789357	2.09896052106430
29	14	12.8496456536475	1.15035434635247
30	13	13.1613911286651	-0.161391128665091
31	9	12.8244032959258	-3.82440329592576
32	15	12.5598505419551	2.44014945804493
33	10	12.7110985787998	-2.71109857879982
34	11	12.7321327118990	-1.73213271189901
35	13	13.1003059381614	-0.100305938161367
36	8	12.4112391753848	-4.41123917538477
37	20	12.3653320508802	7.63466794911978
38	12	13.3877252856831	-1.38772528568309
39	10	12.2872398941161	-2.28723989411612
40	10	12.7321327118990	-2.73213271189901
41	9	12.4837612228547	-3.48376122285466
42	14	12.8533034541699	1.14669654583006
43	8	13.0759798106655	-5.07597981066553
44	14	13.1738276243678	0.826172375632225
45	11	12.9933100629624	-1.99331006296244
46	13	13.2439703474763	-0.243970347476285
47	9	12.9501480689450	-3.95014806894502
48	11	12.3653320508802	-1.36533205088022
49	15	12.5305810173945	2.46941898260551
50	11	12.8377560218544	-1.83775602185437
51	10	12.7527974786818	-2.7527974786818
52	14	13.0814665114491	0.918533488550859
53	18	12.9896522624400	5.01034773755997
54	14	13.531389694998	0.468610305001992
55	11	12.3394629809290	-1.33946298092897
56	12	12.6683023909082	-0.668302390908156
57	13	12.8748844511786	0.125115548821352
58	9	13.1595622284039	-4.15956222840389
59	10	13.4607001079800	-3.46070010797997
60	15	13.2862196714584	1.71378032854157
61	20	13.1094504394674	6.8905495605326
62	12	12.9548090683946	-0.954809068394598
63	12	13.0498247829085	-1.04982478290848
64	14	13.0708589160077	0.929141083992337
65	13	13.5502291217102	-0.550229121710234
66	11	12.5898373076370	-1.58983730763701
67	17	12.4176421063943	4.58235789360569
68	12	13.0337304866834	-1.03373048668338
69	13	13.5800419499897	-0.580041949989693
70	14	12.9914811627012	1.00851883729876
71	13	12.5944113383853	0.405588661614651
72	15	13.0589692842145	1.94103071578550
73	13	12.4383104333677	0.561689566632254
74	10	12.4658380263684	-2.46583802636836
75	11	12.6986620830971	-1.69866208309714
76	19	12.8289773266741	6.17102267332591
77	13	13.3679731889356	-0.367973188935583
78	17	12.8992105786745	4.10078942132551
79	13	13.039217187467	-0.0392171874669982
80	9	12.6105056346104	-3.61050563461044
81	11	12.7913020334403	-1.79130203344029
82	10	13.0832954117103	-3.08329541171035
83	9	12.918962675422	-3.918962675422
84	12	12.9464902684226	-0.94649026842261
85	12	12.8900625171778	-0.890062517177819
86	13	12.9313991711247	0.0686008288753193
87	13	12.9763900654033	0.0236099345966903
88	12	13.2476281479987	-1.24762814799870
89	15	12.4616333619364	2.53836663806358
90	22	13.0534825834309	8.94651741656911
91	13	12.6646445903857	0.335355409614255
92	15	13.5377926260075	1.46220737399245
93	13	13.2325370507008	-0.232537050700767
94	15	12.9052441433676	2.09475585663237
95	10	13.0015418942332	-3.00154189423319
96	11	12.3276603178371	-1.32766031783706
97	16	12.3942322091244	3.6057677908756
98	11	12.4479148298821	-1.44791482988206
99	11	13.0534825834309	-2.05348258343089
100	10	12.8730555509174	-2.87305555091744
101	10	12.7876442329179	-2.78764423291788
102	16	13.2779878401877	2.72201215981232
103	12	12.941003567639	-0.941003567638993
104	11	13.0401334176929	-2.04013341769292
105	16	12.7949598339627	3.2050401660373
106	19	12.7698080051328	6.23019199486718
107	11	12.9423725726919	-1.94237257269191
108	16	12.7453949089357	3.25460509106427
109	15	12.6549532251702	2.34504677482981
110	24	13.1632200289263	10.8367799710737
111	14	13.3518788927105	0.648121107289512
112	15	12.4974797549090	2.50252024509098
113	11	12.8725086870079	-1.87250868700792
114	15	12.6494665243866	2.35053347561343
115	12	13.4940837680806	-1.4940837680806
116	10	13.2252214496559	-3.22522144965595
117	14	13.0264148856386	0.97358511436144
118	13	13.1687067297099	-0.168706729709913
119	9	12.6907996181428	-3.69079961814279
120	15	13.0686606494301	1.93133935056994
121	15	12.6114183046457	2.38858169535428
122	14	13.3059717682059	0.694028231794066
123	11	12.8174570611973	-1.81745706119734
124	8	13.2889612417549	-5.28896124175491
125	11	13.0607981844757	-2.06079818447571
126	11	12.980507761134	-1.98050776113401
127	8	13.3174920336827	-5.31749203368269
128	10	12.9914811627012	-2.99148116270124
129	11	13.0598855144404	-2.05988551444043
130	13	12.3258278573852	0.674172142614793
131	11	12.8192859614585	-1.81928596145854
132	20	13.1732807604582	6.82671923954175
133	10	13.1829721256738	-3.1829721256738
134	15	13.2504602471871	1.74953975281293
135	12	12.9207915756832	-0.920791575683202
136	14	12.6178247958459	1.38217520415409
137	23	13.1173129044217	9.88268709557826
138	14	13.0617144147016	0.938285585298365
139	16	13.1094504394674	2.89054956053261
140	11	12.7852684687471	-1.78526846874715
141	12	12.4492838349350	-0.449283834934979
142	10	12.4203872368814	-2.42038723688144
143	14	12.5460450411995	1.45395495880053
144	12	12.9837056664481	-0.983705666448132
145	12	12.8578774849183	-0.857877484918273
146	11	12.5682563106283	-1.5682563106283
147	12	12.3887455083408	-0.388745508340781
148	13	13.0094043591875	-0.00940435918753933
149	11	13.1553575639719	-2.15535756397195
150	19	12.8353802576836	6.16461974231636
151	12	12.9735579662149	-0.973557966214938
152	17	12.5691725408542	4.43082745914577
153	9	12.0729728664844	-3.07297286648440
154	12	12.9070730436288	-0.907073043628838
155	19	12.8854050779189	6.11459492208111
156	18	13.1613911286651	4.83860887133491
157	15	12.5783170421603	2.42168295783975
158	14	12.8335513574224	1.16644864257757
159	11	12.2596253324143	-1.25962533241427

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.979678820306521	0.0406423593869571	0.0203211796934785
8	0.95622575593217	0.087548488135661	0.0437742440678305
9	0.973408504855963	0.0531829902880748	0.0265914951440374
10	0.957172628586854	0.0856547428262916	0.0428273714131458
11	0.935245850344444	0.129508299311112	0.064754149655556
12	0.929303469402726	0.141393061194549	0.0706965305972745
13	0.922084502787729	0.155830994424542	0.077915497212271
14	0.884172133013607	0.231655733972785	0.115827866986393
15	0.899902197412811	0.200195605174377	0.100097802587189
16	0.872976918118862	0.254046163762276	0.127023081881138
17	0.829255844055818	0.341488311888365	0.170744155944182
18	0.803897515799534	0.392204968400933	0.196102484200466
19	0.783497282970281	0.433005434059437	0.216502717029719
20	0.755523167639414	0.488953664721172	0.244476832360586
21	0.845771259737194	0.308457480525611	0.154228740262806
22	0.838365043747632	0.323269912504735	0.161634956252368
23	0.802108657839811	0.395782684320378	0.197891342160189
24	0.756256274984631	0.487487450030737	0.243743725015369
25	0.721725120443323	0.556549759113354	0.278274879556677
26	0.72176653143144	0.55646693713712	0.27823346856856
27	0.694415559382633	0.611168881234735	0.305584440617367
28	0.674558545464621	0.650882909070758	0.325441454535379
29	0.633981984676767	0.732036030646466	0.366018015323233
30	0.57563672840173	0.84872654319654	0.42436327159827
31	0.628564446163763	0.742871107672474	0.371435553836237
32	0.640119465858258	0.719761068283485	0.359880534141742
33	0.62215258275036	0.755694834499279	0.377847417249640
34	0.576252248739269	0.847495502521462	0.423747751260731
35	0.51958637232601	0.96082725534798	0.48041362767399
36	0.535107716078371	0.929784567843259	0.464892283921629
37	0.789067912956098	0.421864174087804	0.210932087043902
38	0.751834689385322	0.496330621229356	0.248165310614678
39	0.724515422707559	0.550969154584882	0.275484577292441
40	0.707142200428162	0.585715599143676	0.292857799571838
41	0.700398478988253	0.599203042023494	0.299601521011747
42	0.664621420386088	0.670757159227824	0.335378579613912
43	0.711916026088274	0.576167947823453	0.288083973911726
44	0.675618758642116	0.648762482715768	0.324381241357884
45	0.642360813697356	0.715278372605289	0.357639186302645
46	0.593967014054909	0.812065971890182	0.406032985945091
47	0.602744358072137	0.794511283855726	0.397255641927863
48	0.562241151005701	0.875517697988598	0.437758848994299
49	0.548688534519602	0.902622930960797	0.451311465480398
50	0.509770960702381	0.980458078595237	0.490229039297619
51	0.49895223633166	0.99790447266332	0.50104776366834
52	0.458879572109884	0.917759144219767	0.541120427890116
53	0.54867584646129	0.902648307077419	0.451324153538710
54	0.500907349263548	0.998185301472904	0.499092650736452
55	0.45847559585117	0.91695119170234	0.54152440414883
56	0.41173126387641	0.82346252775282	0.58826873612359
57	0.366201585866053	0.732403171732106	0.633798414133947
58	0.389817408395989	0.779634816791978	0.610182591604011
59	0.393764228143291	0.787528456286582	0.606235771856709
60	0.369010538216701	0.738021076433403	0.630989461783299
61	0.557200320085944	0.885599359828113	0.442799679914056
62	0.513653615014085	0.972692769971829	0.486346384985915
63	0.471030638323744	0.942061276647488	0.528969361676256
64	0.428263751852872	0.856527503705743	0.571736248147128
65	0.384461213941407	0.768922427882814	0.615538786058593
66	0.349103432298322	0.698206864596643	0.650896567701678
67	0.405953075663357	0.811906151326713	0.594046924336643
68	0.365647365419549	0.731294730839098	0.634352634580451
69	0.325015379092397	0.650030758184795	0.674984620907603
70	0.289011031885855	0.578022063771709	0.710988968114145
71	0.251840676615882	0.503681353231764	0.748159323384118
72	0.229537444142686	0.459074888285373	0.770462555857314
73	0.198009693129778	0.396019386259555	0.801990306870222
74	0.183111431941335	0.366222863882670	0.816888568058665
75	0.162089418538905	0.324178837077811	0.837910581461095
76	0.259086582287188	0.518173164574377	0.740913417712812
77	0.225531809261338	0.451063618522676	0.774468190738662
78	0.251846438867230	0.503692877734460	0.74815356113277
79	0.216380691015023	0.432761382030046	0.783619308984977
80	0.225484261353008	0.450968522706016	0.774515738646992
81	0.202021699218781	0.404043398437561	0.79797830078122
82	0.200913017891139	0.401826035782278	0.799086982108861
83	0.219416558530784	0.438833117061568	0.780583441469216
84	0.191048989601200	0.382097979202401	0.8089510103988
85	0.163568569677358	0.327137139354716	0.836431430322642
86	0.139407670072430	0.278815340144859	0.86059232992757
87	0.116133264049346	0.232266528098693	0.883866735950654
88	0.0984574295826483	0.196914859165297	0.901542570417352
89	0.0930916613449117	0.186183322689823	0.906908338655088
90	0.295662254311469	0.591324508622939	0.704337745688531
91	0.257713921388014	0.515427842776028	0.742286078611986
92	0.227317212979993	0.454634425959986	0.772682787020007
93	0.194292673843046	0.388585347686091	0.805707326156954
94	0.175853124521577	0.351706249043154	0.824146875478423
95	0.171774460944713	0.343548921889426	0.828225539055287
96	0.150669137776634	0.301338275553267	0.849330862223366
97	0.157989016043785	0.31597803208757	0.842010983956215
98	0.137288072087889	0.274576144175777	0.86271192791211
99	0.124579898274747	0.249159796549494	0.875420101725253
100	0.122248833248881	0.244497666497762	0.87775116675112
101	0.119119326766695	0.238238653533391	0.880880673233305
102	0.109610620097825	0.219221240195651	0.890389379902175
103	0.0950556133250052	0.190111226650010	0.904944386674995
104	0.0869464622385325	0.173892924477065	0.913053537761467
105	0.0876850514409576	0.175370102881915	0.912314948559042
106	0.148797864291120	0.297595728582239	0.85120213570888
107	0.131501532453448	0.263003064906896	0.868498467546552
108	0.131685146691815	0.26337029338363	0.868314853308185
109	0.118887995753205	0.237775991506410	0.881112004246795
110	0.51396475922903	0.97207048154194	0.48603524077097
111	0.464315181580657	0.928630363161313	0.535684818419343
112	0.443633486782436	0.887266973564873	0.556366513217564
113	0.404243436241197	0.808486872482395	0.595756563758803
114	0.374864720891147	0.749729441782293	0.625135279108853
115	0.336063774433124	0.672127548866249	0.663936225566875
116	0.352878412633685	0.70575682526737	0.647121587366315
117	0.307900521635744	0.615801043271488	0.692099478364256
118	0.26308332055766	0.52616664111532	0.73691667944234
119	0.282909499504766	0.565818999009532	0.717090500495234
120	0.255642143057877	0.511284286115754	0.744357856942123
121	0.263723563128933	0.527447126257865	0.736276436871067
122	0.221728709525835	0.44345741905167	0.778271290474165
123	0.196695666761989	0.393391333523977	0.803304333238011
124	0.257131312402607	0.514262624805214	0.742868687597393
125	0.230183147571908	0.460366295143816	0.769816852428092
126	0.228605834677433	0.457211669354865	0.771394165322568
127	0.396240023445292	0.792480046890584	0.603759976554708
128	0.418378689283459	0.836757378566919	0.58162131071654
129	0.446681999092015	0.893363998184031	0.553318000907985
130	0.428683608453685	0.857367216907369	0.571316391546315
131	0.400967587916697	0.801935175833393	0.599032412083303
132	0.499363693769705	0.99872738753941	0.500636306230295
133	0.623552680635004	0.752894638729992	0.376447319364996
134	0.56701907239611	0.86596185520778	0.43298092760389
135	0.532231509955278	0.935536980089444	0.467768490044722
136	0.467635964524509	0.935271929049019	0.532364035475491
137	0.824025058502407	0.351949882995186	0.175974941497593
138	0.775138061286718	0.449723877426564	0.224861938713282
139	0.72806702572295	0.5438659485541	0.27193297427705
140	0.689610388889354	0.620779222221292	0.310389611110646
141	0.632630629308515	0.73473874138297	0.367369370691485
142	0.578721933862848	0.842556132274304	0.421278066137152
143	0.509387654662908	0.981224690674184	0.490612345337092
144	0.426080408098394	0.852160816196789	0.573919591901606
145	0.421666048725201	0.843332097450402	0.578333951274799
146	0.333123125906313	0.666246251812627	0.666876874093687
147	0.249252643441651	0.498505286883303	0.750747356558349
148	0.185090032942969	0.370180065885938	0.81490996705703
149	0.324849045209418	0.649698090418837	0.675150954790582
150	0.374415341345407	0.748830682690815	0.625584658654593
151	0.411212034748996	0.822424069497993	0.588787965251004
152	0.489453196330052	0.978906392660103	0.510546803669948

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	0.00684931506849315	OK
10% type I error level	4	0.0273972602739726	OK