Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 14.2746162191590 -0.199901806823605Doubts[t] -0.054501555912315Expect[t] -0.038947120698009Criticism[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)	14.2746162191590	1.365305	10.4553	0	0
Doubts	-0.199901806823605	0.228178	-0.8761	0.382343	0.191172
Expect	-0.054501555912315	0.182095	-0.2993	0.76511	0.382555
Criticism	-0.038947120698009	0.23449	-0.1661	0.8683	0.43415

Multiple Linear Regression - Regression Statistics
Multiple R	0.0855457044326433
R-squared	0.00731806754687717
Adjusted R-squared	-0.0118951311457638
F-TEST (value)	0.380887517167045
F-TEST (DF numerator)	3
F-TEST (DF denominator)	155
p-value	0.766914280365275
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.16405509068659
Sum Squared Residuals	1551.74291561946

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.621724819241	-0.621724819240985
2	11	13.0485043406500	-2.04850434064998
3	14	13.1758001747356	0.824199825264388
4	12	12.8867912840521	-0.88679128405206
5	21	13.1326590587085	7.86734094129149
6	12	13.0116847339476	-1.01168473394764
7	22	13.0973561929508	8.9026438070492
8	11	12.8810805477783	-1.88108054777833
9	10	12.5319203975710	-2.53192039757098
10	13	12.9044732332620	0.0955267667379638
11	10	12.6199332081020	-2.61993320810197
12	8	12.6843394956171	-4.68433949561711
13	15	13.1404362763157	1.85956372368434
14	14	12.8867912840521	1.11320871594794
15	10	12.9395012288253	-2.93950122882535
16	14	13.4681174175028	0.53188258249717
17	14	13.1344506698475	0.865549330152459
18	11	13.1793833970137	-2.17938339701367
19	10	13.0353522896257	-3.03535228962573
20	13	12.4776937118531	0.522306288146938
21	7	12.6001847775586	-5.60018477755857
22	14	12.2905214884380	1.70947851156198
23	12	12.9203025386707	-0.920302538670735
24	14	12.7268698385932	1.27313016140682
25	11	12.9395012288253	-1.93950122882535
26	9	13.0509067248400	-4.05090672484004
27	11	13.0293666831576	-2.02936668315761
28	15	13.0254475580229	1.97455244197709
29	14	12.9436952241544	1.05630477584556
30	13	13.0838682390699	-0.083868239069925
31	9	13.1129106281651	-4.11291062816511
32	15	12.193153686693	2.80684631330700
33	10	12.8071664641793	-2.80716646417926
34	11	13.1716061794065	-2.17160617940652
35	13	12.9164444461983	0.0835555538017188
36	8	12.6331462917885	-4.63314629178846
37	20	13.0329499054357	6.96705009456433
38	12	12.570867518269	-0.570867518268993
39	10	12.5908908190068	-2.59089081900678
40	10	12.8517632884888	-2.85176328848875
41	9	12.4699164942459	-3.46991649424591
42	14	12.9981967800668	1.00180321993325
43	8	12.9104588397302	-4.91045883973016
44	14	13.0215894655505	0.978410534449543
45	11	13.0467127295109	-2.04671272951095
46	13	12.8595405060959	0.140459493904095
47	9	12.5789196060705	-3.57891960607054
48	11	12.7930677372473	-1.79306773724734
49	15	12.9922111735986	2.00778882640137
50	11	12.5555879532491	-1.55558795324908
51	10	12.7810965243111	-2.7810965243111
52	14	13.0721718963281	0.927828103671927
53	18	12.9922111735986	5.00778882640137
54	14	13.5534529736494	0.446547026350637
55	11	12.5914405593956	-1.59144055939557
56	12	12.7523290054103	-0.752329005410305
57	13	12.9922111735986	0.00778882640136876
58	9	13.1365781838432	-4.13657818384321
59	10	13.4462414729638	-3.44624147296376
60	15	12.5651567819953	2.43484321800474
61	20	13.0526983359791	6.94730166402093
62	12	13.0039075163405	-1.00390751634048
63	12	12.7972617325764	-0.797261732576437
64	14	12.8418585568859	1.15814144311407
65	13	13.0778826326018	-0.0778826326018025
66	11	13.0524234657847	-2.05242346578468
67	17	13.1793833970137	3.82061660298633
68	12	13.0449211183719	-1.04492111837192
69	13	12.8457776820206	0.154222317979371
70	14	12.9395012288253	1.06049877117465
71	13	13.1716061794065	-0.17160617940652
72	15	13.1733977905456	1.82660220945445
73	13	12.9709460021106	0.0290539978894038
74	10	12.3704822111675	-2.37048221116746
75	11	13.0293666831576	-2.02936668315761
76	19	12.9922111735986	6.00778882640137
77	13	12.6840646254227	0.315935374577285
78	17	12.7583146118784	4.24168538812157
79	13	12.8867912840521	0.113208715947938
80	9	12.9239467936110	-3.92394679361104
81	11	12.6061703840267	-1.60617038402670
82	10	13.3393048424726	-3.33930484247256
83	9	12.8050389501836	-3.80503895018359
84	12	13.0041823865349	-1.00418238653488
85	12	12.8397920755525	-0.839792075552507
86	13	12.8227208993936	0.177279100606436
87	13	13.0778826326018	-0.0778826326018025
88	12	12.7541206165493	-0.754120616549335
89	15	12.6064452542211	2.39355474577891
90	22	13.0116847339476	8.98831526605236
91	13	12.6178667267685	0.382133273231452
92	15	13.5399650197685	1.46003498023152
93	13	13.0524234657847	-0.0524234657846753
94	15	12.9494059604282	2.05059403957183
95	10	13.0604755535862	-3.06047555358622
96	11	12.6690599305972	-1.66905993059720
97	16	12.4384717209607	3.56152827903934
98	11	12.5109300962773	-1.51093009627734
99	11	13.0916454566771	-2.09164545667708
100	10	12.9649603956425	-2.96496039564247
101	10	12.8715117190321	-2.87151171903215
102	16	13.2710404624850	2.72895953751503
103	12	12.8424693299370	-0.842469329936962
104	11	13.0314331644910	-2.03143316449103
105	16	12.660671939939	3.33932806006099
106	19	12.7580397416840	6.24196025831596
107	11	13.2261077353188	-2.22610773531883
108	16	13.0059739976739	2.99402600232609
109	15	12.5321952677654	2.46780473223462
110	24	12.7113154033789	11.2886845966211
111	14	13.1716061794065	0.82839382059348
112	15	12.9652352658369	2.03476473416313
113	11	13.1754642718790	-2.17546427187897
114	15	13.010167993003	1.989832006997
115	12	13.3626364952940	-1.36263649529402
116	10	13.1833025221484	-3.18330252214837
117	14	13.1758001747356	0.824199825264388
118	13	13.0329499054357	-0.0329499054356707
119	9	12.5711423884634	-3.57114238846339
120	15	13.0991478040898	1.90085219591016
121	15	13.126398582046	1.87360141795401
122	14	12.9317240112182	1.06827598878181
123	11	12.5594460457215	-1.55944604572153
124	8	13.3545844074925	-5.35458440749247
125	11	12.3210806184778	-1.32108061847785
126	11	12.7759965610884	-1.77599656108840
127	8	13.2845284163659	-5.28452841636585
128	10	12.9395012288253	-2.93950122882535
129	11	12.9182360573373	-1.91823605733731
130	13	12.6996190606370	0.300380939362979
131	11	12.8265789918660	-1.82657899186602
132	20	13.0721718963281	6.92782810367193
133	10	13.1578433553312	-3.15784335533124
134	15	13.311779194322	1.68822080567799
135	12	12.9922111735986	-0.992211173598631
136	14	12.4953756610630	1.50462433893696
137	23	12.7912761261083	10.2087238738917
138	14	12.7855653898346	1.21443461016541
139	16	13.1326590587085	2.86734094129149
140	11	12.6549612036653	-1.65496120366528
141	12	12.7346470562003	-0.734647056200331
142	10	12.7115902735733	-2.71159027357327
143	14	12.1116762230189	1.88832377698108
144	12	12.7870821307792	-0.787082130779222
145	12	12.5576544345825	-0.557654434582504
146	11	12.5786447358761	-1.57864473587615
147	12	12.9164444461983	-0.916444446198281
148	13	13.1188962346332	-0.118896234633235
149	11	13.0526983359791	-2.05269833597907
150	19	13.0586839424472	5.94131605755281
151	12	13.2398705593941	-1.23987055939411
152	17	12.4034437253973	4.59655627460265
153	9	12.6864670096128	-3.68646700961278
154	12	13.0566174611138	-1.05661746111377
155	19	12.5968764254749	6.4031235745251
156	18	13.0838682390699	4.91613176093007
157	15	12.6996190606370	2.30038093936298
158	14	12.6316295508438	1.36837044915618
159	11	12.1659029087368	-1.16590290873684

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.976394534322343	0.047210931355314	0.023605465677657
8	0.951903386473852	0.0961932270522953	0.0480966135261477
9	0.91986285096968	0.160274298060641	0.0801371490303206
10	0.873498134910829	0.253003730178342	0.126501865089171
11	0.812066070024099	0.375867859951802	0.187933929975901
12	0.787588045557719	0.424823908884563	0.212411954442281
13	0.710785546943447	0.578428906113106	0.289214453056553
14	0.627513994637113	0.744972010725774	0.372486005362887
15	0.65500430365723	0.689991392685539	0.344995696342770
16	0.723185586279466	0.553628827441068	0.276814413720534
17	0.654820272702685	0.69035945459463	0.345179727297315
18	0.671761928492559	0.656476143014882	0.328238071507441
19	0.648164279953095	0.70367144009381	0.351835720046905
20	0.680104363237949	0.639791273524102	0.319895636762051
21	0.723983109251041	0.552033781497918	0.276016890748959
22	0.775713522373843	0.448572955252315	0.224286477626157
23	0.721378411229249	0.557243177541502	0.278621588770751
24	0.680923814105871	0.638152371788258	0.319076185894129
25	0.640954701922063	0.718090596155874	0.359045298077937
26	0.670988404431302	0.658023191137396	0.329011595568698
27	0.639738613068442	0.720522773863115	0.360261386931558
28	0.607490711163808	0.785018577672384	0.392509288836192
29	0.559087494711717	0.881825010576565	0.440912505288282
30	0.498827205162897	0.997654410325795	0.501172794837103
31	0.552115623552737	0.895768752894526	0.447884376447263
32	0.587547937127836	0.824904125744328	0.412452062872164
33	0.559270668049349	0.881458663901303	0.440729331950651
34	0.524836877078318	0.950326245843364	0.475163122921682
35	0.467408388198834	0.934816776397668	0.532591611801166
36	0.47138656714291	0.94277313428582	0.52861343285709
37	0.711000334430102	0.577999331139796	0.288999665569898
38	0.667104736426316	0.665790527147369	0.332895263573684
39	0.638064769765422	0.723870460469155	0.361935230234578
40	0.615647898320574	0.768704203358852	0.384352101679426
41	0.598069122896711	0.803861754206577	0.401930877103289
42	0.552087478340426	0.895825043319147	0.447912521659574
43	0.604185923977923	0.791628152044153	0.395814076022076
44	0.564921584085115	0.87015683182977	0.435078415914885
45	0.533138973517078	0.933722052965845	0.466861026482922
46	0.483940215940761	0.967880431881523	0.516059784059239
47	0.47562958197234	0.95125916394468	0.52437041802766
48	0.434205389575811	0.868410779151622	0.565794610424189
49	0.409280129116146	0.818560258232291	0.590719870883854
50	0.368709532449743	0.737419064899485	0.631290467550257
51	0.346114995324537	0.692229990649073	0.653885004675463
52	0.305191302860988	0.610382605721977	0.694808697139012
53	0.384515857804276	0.769031715608552	0.615484142195724
54	0.340871069985912	0.681742139971824	0.659128930014088
55	0.306438385786578	0.612876771573156	0.693561614213422
56	0.267161098788423	0.534322197576846	0.732838901211577
57	0.228588099283011	0.457176198566023	0.771411900716989
58	0.256883181049084	0.513766362098167	0.743116818950916
59	0.274588059569756	0.549176119139511	0.725411940430244
60	0.279156326473110	0.558312652946219	0.72084367352689
61	0.455411491901356	0.910822983802713	0.544588508098644
62	0.412293207540601	0.824586415081202	0.587706792459399
63	0.370127462888605	0.740254925777211	0.629872537111395
64	0.333428561573203	0.666857123146407	0.666571438426797
65	0.292119828075272	0.584239656150544	0.707880171924728
66	0.268115914455727	0.536231828911454	0.731884085544273
67	0.283486402870827	0.566972805741654	0.716513597129173
68	0.249055649246785	0.49811129849357	0.750944350753215
69	0.215710535492542	0.431421070985083	0.784289464507459
70	0.187214212040947	0.374428424081893	0.812785787959053
71	0.157548154261003	0.315096308522006	0.842451845738997
72	0.138407129598372	0.276814259196743	0.861592870401628
73	0.114303309002813	0.228606618005626	0.885696690997187
74	0.103947477666358	0.207894955332716	0.896052522333642
75	0.0918498770573997	0.183699754114799	0.9081501229426
76	0.156789477427883	0.313578954855766	0.843210522572117
77	0.135658713798873	0.271317427597746	0.864341286201127
78	0.162484131249669	0.324968262499339	0.83751586875033
79	0.135691384304701	0.271382768609401	0.8643086156953
80	0.150486361071601	0.300972722143201	0.8495136389284
81	0.131515605976590	0.263031211953181	0.86848439402341
82	0.139842719963208	0.279685439926416	0.860157280036792
83	0.152712261058875	0.30542452211775	0.847287738941125
84	0.129523428728073	0.259046857456147	0.870476571271927
85	0.109827746320157	0.219655492640313	0.890172253679843
86	0.091969424694932	0.183938849389864	0.908030575305068
87	0.0748478211911326	0.149695642382265	0.925152178808867
88	0.061101763360132	0.122203526720264	0.938898236639868
89	0.0561871396774585	0.112374279354917	0.943812860322542
90	0.220619282243407	0.441238564486814	0.779380717756593
91	0.191734645334902	0.383469290669804	0.808265354665098
92	0.171533977666561	0.343067955333122	0.828466022333439
93	0.143821097134713	0.287642194269427	0.856178902865287
94	0.128877093529039	0.257754187058078	0.871122906470961
95	0.126834837357408	0.253669674714817	0.873165162642592
96	0.111394400062505	0.22278880012501	0.888605599937495
97	0.116623847047130	0.233247694094260	0.88337615295287
98	0.102268085583787	0.204536171167573	0.897731914416213
99	0.0913589435060657	0.182717887012131	0.908641056493934
100	0.0902812303778817	0.180562460755763	0.909718769622118
101	0.0882223469861226	0.176444693972245	0.911777653013877
102	0.0824345309079994	0.164869061815999	0.917565469092
103	0.0683992185733129	0.136798437146626	0.931600781426687
104	0.0599471534027872	0.119894306805574	0.940052846597213
105	0.0602354306592319	0.120470861318464	0.939764569340768
106	0.103229356050117	0.206458712100235	0.896770643949883
107	0.0920132622354364	0.184026524470873	0.907986737764564
108	0.0887288354770994	0.177457670954199	0.9112711645229
109	0.0791138836175985	0.158227767235197	0.920886116382401
110	0.469495517498109	0.938991034996219	0.530504482501891
111	0.422601212941633	0.845202425883266	0.577398787058367
112	0.390118575475749	0.780237150951497	0.609881424524251
113	0.358204890458748	0.716409780917496	0.641795109541252
114	0.324430903406466	0.648861806812933	0.675569096593534
115	0.284101187740825	0.56820237548165	0.715898812259175
116	0.286555843389544	0.573111686779087	0.713444156610456
117	0.244894626674674	0.489789253349348	0.755105373325326
118	0.205392778984916	0.410785557969831	0.794607221015085
119	0.222061136792562	0.444122273585124	0.777938863207438
120	0.198184961737775	0.396369923475551	0.801815038262225
121	0.179147871348368	0.358295742696736	0.820852128651632
122	0.148882284826899	0.297764569653797	0.851117715173101
123	0.127405813631577	0.254811627263155	0.872594186368423
124	0.165855250402198	0.331710500804396	0.834144749597802
125	0.137990332677587	0.275980665355174	0.862009667322413
126	0.122720030492509	0.245440060985019	0.87727996950749
127	0.185498757440324	0.370997514880648	0.814501242559676
128	0.187085528829706	0.374171057659412	0.812914471170294
129	0.173231281788721	0.346462563577441	0.82676871821128
130	0.137811807341951	0.275623614683902	0.862188192658049
131	0.123452485953459	0.246904971906917	0.876547514046541
132	0.221672627715068	0.443345255430136	0.778327372284932
133	0.241648622422646	0.483297244845292	0.758351377577354
134	0.197335687546180	0.394671375092359	0.80266431245382
135	0.166414078240956	0.332828156481911	0.833585921759044
136	0.130123211166473	0.260246422332947	0.869876788833527
137	0.59495868211983	0.81008263576034	0.40504131788017
138	0.527551394236181	0.944897211527637	0.472448605763819
139	0.488535085834113	0.977070171668226	0.511464914165887
140	0.447976322557999	0.895952645115998	0.552023677442001
141	0.379257995471569	0.758515990943138	0.620742004528431
142	0.387257939715211	0.774515879430423	0.612742060284789
143	0.316592306749893	0.633184613499786	0.683407693250107
144	0.248631282647622	0.497262565295245	0.751368717352378
145	0.198210025648444	0.396420051296887	0.801789974351556
146	0.16885831478444	0.33771662956888	0.83114168521556
147	0.125888632990712	0.251777265981425	0.874111367009288
148	0.0864737044462057	0.172947408892411	0.913526295553794
149	0.0938770751296552	0.187754150259310	0.906122924870345
150	0.115922567769026	0.231845135538052	0.884077432230974
151	0.112701268950409	0.225402537900817	0.887298731049591
152	0.354598120010481	0.709196240020963	0.645401879989519

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	2	0.0136986301369863	OK