Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 14.1670937733770 -0.00374346986010199Expect[t] -0.0356071628680675Criticism[t] -0.230056642873884Concerns[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)	14.1670937733770	1.194134	11.8639	0	0
Expect	-0.00374346986010199	0.184582	-0.0203	0.983845	0.491923
Criticism	-0.0356071628680675	0.233426	-0.1525	0.878958	0.439479
Concerns	-0.230056642873884	0.211821	-1.0861	0.279125	0.139562

Multiple Linear Regression - Regression Statistics
Multiple R	0.099685842877191
R-squared	0.009937267270136
Adjusted R-squared	-0.0092252372343129
F-TEST (value)	0.518578731074994
F-TEST (DF numerator)	3
F-TEST (DF denominator)	155
p-value	0.67010300974329
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.15987814050084
Sum Squared Residuals	1547.64862873633

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.7066598054202	-0.706659805420156
2	11	12.7324480430155	-1.73244804301554
3	14	13.1232315180305	0.876768481969459
4	12	13.0857212011086	-1.08572120110865
5	21	13.0641741498145	7.9358258501855
6	12	13.2010062355471	-1.20100623554709
7	22	13.0538388690502	8.94616113094978
8	11	13.131663644741	-2.131663644741
9	10	13.0997813126826	-3.09978131268258
10	13	13.1485220391848	-0.14852203918478
11	10	12.7516570620623	-2.75165706206229
12	8	12.424632392187	-4.424632392187
13	15	12.7928794297205	2.20712057027949
14	14	13.0857212011086	0.914278798891355
15	10	13.2379874169041	-3.23798741690410
16	14	13.4535521872168	0.54644781278321
17	14	12.9156514038792	1.08434859612084
18	11	13.2379874169041	-2.23798741690410
19	10	12.9891977151678	-2.98919771516781
20	13	12.3543446143907	0.645655385609337
21	7	12.6059325989968	-5.60593259899679
22	14	12.1983349287351	1.80166507126489
23	12	12.8350784034928	-0.83507840349277
24	14	12.4208575032031	1.57914249679688
25	11	13.0332370047463	-2.03323700474634
26	9	13.1597838678889	-4.15978386788886
27	11	13.0107447664619	-2.01074476646195
28	15	12.9081644641590	2.09183553584104
29	14	12.8519367979365	1.14806320206345
30	13	13.1663256206188	-0.166325620618814
31	9	12.8172247638845	-3.8172247638845
32	15	12.5694303073127	2.43056969268729
33	10	12.7146572416548	-2.71465724165482
34	11	12.7408929497993	-1.74089294979932
35	13	13.1054279365965	-0.105427936596509
36	8	12.4077239395690	-4.40772393956899
37	20	12.3571114781367	7.64288852186327
38	12	13.3907513491407	-1.39075134914065
39	10	12.2840568365943	-2.28405683659432
40	10	12.7408929497993	-2.74089294979932
41	9	12.4738019501879	-3.47380195018789
42	14	12.8556802677967	1.14431973220335
43	8	13.0763625264584	-5.07636252645839
44	14	13.1785139972627	0.821486002737306
45	11	12.9844962782441	-1.98449627824414
46	13	13.2379874169041	-0.237987416904096
47	9	12.9414021756559	-3.94140217565586
48	11	12.3571114781367	-1.35711147813673
49	15	12.5206395226363	2.47936047736373
50	11	12.8350597644423	-1.83505976444231
51	10	12.7567933771795	-2.75679337717952
52	14	13.0819777312485	0.918022268751457
53	18	12.9807528083840	5.01924719161597
54	14	13.5233108294482	0.476689170551758
55	11	12.3351481876995	-1.33514818769950
56	12	12.6724769069330	-0.67247690693303
57	13	12.8772273190908	0.122772680909214
58	9	13.1644538856888	-4.16445388568876
59	10	13.4685260666572	-3.4685260666572
60	15	13.2848564084762	1.71514359152375
61	20	13.1147866112468	6.88521338875324
62	12	12.9615752084611	-0.961575208461057
63	12	13.0454253813902	-1.04542538139022
64	14	13.0716610895347	0.928338910465287
65	13	13.5467610347962	-0.546761034796208
66	11	12.5796654717285	-1.57966547172852
67	17	12.4189857682731	4.58101423172693
68	12	13.0294935348862	-1.02949353488624
69	13	13.5814416497245	-0.58144164972448
70	14	12.9826245433141	1.01737545668592
71	13	12.5890555655026	0.410944434497446
72	15	13.0547840560405	1.94521594395952
73	13	12.4443077085511	0.555692291448914
74	10	12.4559983687539	-2.45599836875386
75	11	12.7024688650109	-1.70246886501094
76	19	12.8266148576585	6.17338514234147
77	13	13.3710760327766	-0.37107603277657
78	17	12.9062927292289	4.09370727077109
79	13	13.0351087396764	-0.0351087396763905
80	9	12.6049874120065	-3.60498741200654
81	11	12.7891359598604	-1.78913595986041
82	10	13.0838494661786	-3.08384946617859
83	9	12.925968045593	-3.92596804559299
84	12	12.9376587057958	-0.937658705795762
85	12	12.8875125416808	-0.887512541680837
86	13	12.9381564222369	0.0618435777631296
87	13	12.9831222597552	0.0168777402448073
88	12	13.2417308867642	-1.24173088676420
89	15	12.4569435557441	2.54305644425589
90	22	13.0491688512503	8.95083114874968
91	13	12.6687334370729	0.331266562927073
92	15	13.5345726581523	1.46542734184767
93	13	13.2422286032053	-0.242228603205306
94	15	12.9072192771687	2.0927807228313
95	10	12.9976298418783	-2.99762984187827
96	11	12.3290540932364	-1.32905409323642
97	16	12.3955669820489	3.60443301795112
98	11	12.4381947873198	-1.43819478731983
99	11	13.0491688512503	-2.04916885125032
100	10	12.8753555841607	-2.87535558416074
101	10	12.7853924900003	-2.78539249000031
102	16	13.2717228448421	2.72827715515789
103	12	12.9320435010056	-0.93204350100561
104	11	13.0407553635903	-2.04075536359032
105	16	12.7928794297205	3.20712057027949
106	19	12.7783718475974	6.22162815240256
107	11	12.9493868318172	-1.94938683181718
108	16	12.7385234984282	3.26147650157184
109	15	12.6640634192730	2.33593658072697
110	24	13.1681973555489	10.8318026444511
111	14	13.3551441862726	0.644855813727413
112	15	12.4925507186122	2.50744928138782
113	11	12.8800442410111	-1.88004424101109
114	15	12.6584482144829	2.34155178551712
115	12	13.4961672124144	-1.49616721241441
116	10	13.2347416634851	-3.2347416634851
117	14	13.0220065951660	0.977993404833966
118	13	13.1738125603390	-0.173812560339018
119	9	12.6996705821411	-3.6996705821411
120	15	13.0594540738404	1.94054592615963
121	15	12.6012125230227	2.39878747697734
122	14	13.3045317248403	0.695468275159667
123	11	12.8200731049286	-1.82007310492858
124	8	13.2829532544224	-5.28295325442242
125	11	13.0566557909705	-2.05665579097053
126	11	12.9713941337338	-1.97139413373378
127	8	13.3110734775703	-5.31107347757028
128	10	12.9826245433141	-2.98262454331408
129	11	13.0604306799544	-2.06043067995441
130	13	12.3177608454086	0.68223915459144
131	11	12.8219448398586	-1.82194483985863
132	20	13.1832026541130	6.81679734588695
133	10	13.1878726719129	-3.18787267191295
134	15	13.2600321846393	1.73996781536066
135	12	12.9278397805230	-0.92783978052304
136	14	12.6218958646246	1.37810413537545
137	23	13.1175848941166	9.88241510588339
138	14	13.0623024148845	0.937697585115542
139	16	13.1147866112468	2.88521338875324
140	11	12.7882094119206	-1.78820941192062
141	12	12.4555381181314	-0.455538118131392
142	10	12.4265041271171	-2.42650412711705
143	14	12.5398985998573	1.46010140014274
144	12	12.9906091994754	-0.990609199475397
145	12	12.8650703615707	-0.865070361570685
146	11	12.5581184204344	-1.55811842043438
147	12	12.3899517772587	-0.38995177725873
148	13	13.0004281247481	-0.000428124748118555
149	11	13.1653990726790	-2.16539907267902
150	19	12.8378766863626	6.16212331363738
151	12	12.9648209618801	-0.96482096188005
152	17	12.5637650443483	4.43623495565168
153	9	12.0614842039521	-3.06148420395207
154	12	12.9090910120988	-0.909091012098752
155	19	12.8767610217735	6.12323897822654
156	18	13.1663256206188	4.83367437938119
157	15	12.5731237189986	2.42687628100143
158	14	12.8360049514326	1.16399504856743
159	11	12.2615832373604	-1.26158323736039

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.979153320591476	0.0416933588170489	0.0208466794085244
8	0.955073871594818	0.0898522568103641	0.0449261284051821
9	0.972604516765093	0.0547909664698138	0.0273954832349069
10	0.95577303438501	0.0884539312299813	0.0442269656149907
11	0.934300151067005	0.131399697865991	0.0656998489329953
12	0.931673862778714	0.136652274442572	0.0683261372212861
13	0.924381999410865	0.151236001178270	0.0756180005891351
14	0.887234595972923	0.225530808054154	0.112765404027077
15	0.900753780201613	0.198492439596774	0.0992462197983872
16	0.873536240047257	0.252927519905487	0.126463759952743
17	0.829865207146101	0.340269585707797	0.170134792853899
18	0.80375664409993	0.39248671180014	0.19624335590007
19	0.783691861967779	0.432616276064442	0.216308138032221
20	0.754869772747396	0.490260454505208	0.245130227252604
21	0.846237593381558	0.307524813236884	0.153762406618442
22	0.838372096291886	0.323255807416228	0.161627903708114
23	0.80225496271169	0.39549007457662	0.19774503728831
24	0.75632762736595	0.487344745268101	0.243672372634051
25	0.721813350655717	0.556373298688565	0.278186649344283
26	0.721650368707474	0.556699262585053	0.278349631292526
27	0.694492217985778	0.611015564028444	0.305507782014222
28	0.67473222282821	0.65053555434358	0.32526777717179
29	0.634162713756469	0.731674572487062	0.365837286243531
30	0.575808469007131	0.848383061985738	0.424191530992869
31	0.628741001391561	0.742517997216878	0.371258998608439
32	0.640170683186907	0.719658633626186	0.359829316813093
33	0.622228326057524	0.755543347884952	0.377771673942476
34	0.576460813783473	0.847078372433055	0.423539186216527
35	0.519799738085184	0.960400523829631	0.480200261914816
36	0.535177439693202	0.929645120613597	0.464822560306798
37	0.789400259228532	0.421199481542935	0.210599740771468
38	0.752204002763523	0.495591994472955	0.247795997236477
39	0.724917169608226	0.550165660783548	0.275082830391774
40	0.707714961522895	0.58457007695421	0.292285038477105
41	0.700795834981328	0.598408330037344	0.299204165018672
42	0.665029701703646	0.669940596592708	0.334970298296354
43	0.71229982607266	0.575400347854681	0.287700173927340
44	0.675998345619904	0.648003308760192	0.324001654380096
45	0.642645120133345	0.71470975973331	0.357354879866655
46	0.594264480672837	0.811471038654326	0.405735519327163
47	0.60284391488661	0.794312170226779	0.397156085113389
48	0.562193721075974	0.875612557848053	0.437806278924026
49	0.54889659516285	0.9022068096743	0.45110340483715
50	0.509949681797777	0.980100636404447	0.490050318202223
51	0.499203190288746	0.998406380577492	0.500796809711254
52	0.459129149585907	0.918258299171815	0.540870850414093
53	0.549358975763391	0.901282048473217	0.450641024236609
54	0.501647474690565	0.99670505061887	0.498352525309435
55	0.459219165759486	0.918438331518972	0.540780834240514
56	0.412473693611207	0.824947387222414	0.587526306388793
57	0.366912370561912	0.733824741123823	0.633087629438088
58	0.39071129741938	0.78142259483876	0.60928870258062
59	0.394812741041223	0.789625482082446	0.605187258958777
60	0.370162204903772	0.740324409807543	0.629837795096228
61	0.558193253717076	0.883613492565847	0.441806746282924
62	0.514714284405567	0.970571431188866	0.485285715594433
63	0.472067263427144	0.944134526854288	0.527932736572856
64	0.429296685680719	0.858593371361438	0.570703314319281
65	0.385480723668148	0.770961447336295	0.614519276331852
66	0.349945364448702	0.699890728897403	0.650054635551298
67	0.406722375236096	0.813444750472192	0.593277624763904
68	0.366357499557752	0.732714999115505	0.633642500442248
69	0.325725958813915	0.65145191762783	0.674274041186085
70	0.289772699305552	0.579545398611103	0.710227300694448
71	0.25256244242408	0.50512488484816	0.74743755757592
72	0.230301533143322	0.460603066286644	0.769698466856678
73	0.198668786661972	0.397337573323945	0.801331213338028
74	0.183577241080461	0.367154482160921	0.81642275891954
75	0.162562442225518	0.325124884451035	0.837437557774482
76	0.259860274322568	0.519720548645136	0.740139725677432
77	0.226298704345742	0.452597408691485	0.773701295654257
78	0.252413361337771	0.504826722675542	0.747586638662229
79	0.216900930092459	0.433801860184917	0.783099069907541
80	0.225837716387887	0.451675432775773	0.774162283612113
81	0.202320648204036	0.404641296408073	0.797679351795963
82	0.201226414852489	0.402452829704978	0.79877358514751
83	0.219984940448215	0.43996988089643	0.780015059551785
84	0.191512111615066	0.383024223230132	0.808487888384934
85	0.163965369516437	0.327930739032874	0.836034630483563
86	0.139782553145113	0.279565106290225	0.860217446854887
87	0.116469192644836	0.232938385289672	0.883530807355164
88	0.0987178686133082	0.197435737226616	0.901282131386692
89	0.0934151787299262	0.186830357459852	0.906584821270074
90	0.296735443641743	0.593470887283485	0.703264556358257
91	0.25870114836389	0.51740229672778	0.74129885163611
92	0.228258091082350	0.456516182164701	0.77174190891765
93	0.195190045044891	0.390380090089783	0.804809954955109
94	0.176661022966975	0.353322045933951	0.823338977033025
95	0.172487292397800	0.344974584795599	0.8275127076022
96	0.151322981228489	0.302645962456978	0.848677018771511
97	0.158710026538032	0.317420053076065	0.841289973461968
98	0.137825606498786	0.275651212997572	0.862174393501214
99	0.125034629078451	0.250069258156902	0.874965370921549
100	0.122742015830017	0.245484031660033	0.877257984169983
101	0.119564379914554	0.239128759829107	0.880435620085446
102	0.110089341525212	0.220178683050425	0.889910658474788
103	0.095440975708433	0.190881951416866	0.904559024291567
104	0.0873274202551513	0.174654840510303	0.912672579744849
105	0.0881359762606817	0.176271952521363	0.911864023739318
106	0.149030927930302	0.298061855860605	0.850969072069698
107	0.131822499812596	0.263644999625192	0.868177500187404
108	0.132214131611816	0.264428263223633	0.867785868388184
109	0.119234040118230	0.238468080236461	0.88076595988177
110	0.513945638599575	0.97210872280085	0.486054361400425
111	0.464284692129967	0.928569384259934	0.535715307870033
112	0.443781527929871	0.887563055859742	0.556218472070129
113	0.404513811682944	0.80902762336589	0.595486188317056
114	0.37487339855524	0.74974679711048	0.62512660144476
115	0.336030818747368	0.672061637494735	0.663969181252632
116	0.353550815203963	0.707101630407927	0.646449184796037
117	0.308529645815714	0.617059291631427	0.691470354184286
118	0.2636858992733	0.5273717985466	0.7363141007267
119	0.284232631824176	0.568465263648352	0.715767368175824
120	0.257200670454050	0.514401340908101	0.74279932954595
121	0.266469771622559	0.532939543245117	0.733530228377441
122	0.224237866370253	0.448475732740506	0.775762133629747
123	0.199148261757037	0.398296523514075	0.800851738242963
124	0.259214635223307	0.518429270446613	0.740785364776694
125	0.231830293701844	0.463660587403688	0.768169706298156
126	0.229669525525086	0.459339051050172	0.770330474474914
127	0.394914147474700	0.789828294949401	0.6050858525253
128	0.414719750091026	0.829439500182053	0.585280249908974
129	0.441836852312031	0.883673704624063	0.558163147687969
130	0.42419713106468	0.84839426212936	0.57580286893532
131	0.396567425188675	0.79313485037735	0.603432574811325
132	0.493362780369842	0.986725560739683	0.506637219630158
133	0.617002958462268	0.765994083075464	0.382997041537732
134	0.56056989010984	0.87886021978032	0.43943010989016
135	0.526627991097605	0.94674401780479	0.473372008902395
136	0.462461062023742	0.924922124047485	0.537538937976258
137	0.820861708631857	0.358276582736286	0.179138291368143
138	0.771327640737168	0.457344718525664	0.228672359262832
139	0.723809253008328	0.552381493983345	0.276190746991673
140	0.685026645711085	0.62994670857783	0.314973354288915
141	0.62635664425124	0.74728671149752	0.37364335574876
142	0.574235185251457	0.851529629497086	0.425764814748543
143	0.504097422359714	0.991805155280572	0.495902577640286
144	0.421607010505872	0.843214021011744	0.578392989494128
145	0.418346788735205	0.83669357747041	0.581653211264795
146	0.32998145457549	0.65996290915098	0.67001854542451
147	0.246873320493041	0.493746640986081	0.753126679506959
148	0.182263474150935	0.364526948301871	0.817736525849065
149	0.324832655092249	0.649665310184498	0.675167344907751
150	0.371920875764899	0.743841751529799	0.6280791242351
151	0.40033500905172	0.80067001810344	0.59966499094828
152	0.475808539758062	0.951617079516124	0.524191460241938

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