Multiple Linear Regression - Estimated Regression Equation

Depression[t] = + 11.4292033947064 -0.0138806681776281Intrinsic[t] + 0.0301896615759638Extrinsic[t] + 0.0412540105227645Amotivation[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)	11.4292033947064	2.41743	4.7278	5e-06	2e-06
Intrinsic	-0.0138806681776281	0.0266	-0.5218	0.602525	0.301262
Extrinsic	0.0301896615759638	0.036153	0.8351	0.404943	0.202472
Amotivation	0.0412540105227645	0.097636	0.4225	0.673214	0.336607

Multiple Linear Regression - Regression Statistics
Multiple R	0.0742558448584069
R-squared	0.00551393049563579
Adjusted R-squared	-0.0133687163936878
F-TEST (value)	0.292010464843966
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.831126727905794
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.18725462650471
Sum Squared Residuals	1605.05754455976

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	12.5522826800045	-0.552282680004548
2	11	12.7278747158723	-1.72787471587227
3	14	12.7107897344537	1.28921026554631
4	12	12.9647224240722	-0.964722424072175
5	21	13.2013830662385	7.79861693376153
6	12	12.9888186102456	-0.988818610245641
7	22	13.0689850109441	8.93101498905592
8	11	13.0927660460382	-2.09276604603815
9	10	12.7510806909226	-2.75108069092261
10	13	12.8045630324225	0.195436967577468
11	10	13.2501229803999	-3.25012298039987
12	8	12.9742486589214	-4.9742486589214
13	15	12.8576573799123	2.14234262008766
14	14	12.7743733708466	1.22562662915343
15	10	12.9242719197989	-2.92427191979892
16	14	13.0414107406224	0.958589259377561
17	14	13.41183434809	0.588165651910012
18	11	12.9079629264006	-1.90796292640058
19	10	13.1505299779358	-3.15052997793576
20	13	13.2690473650525	-0.269047365052521
21	7	12.6366164479978	-5.63661644799776
22	14	13.2489589983695	0.751041001630493
23	12	13.0047987962782	-1.00479879627821
24	14	12.9555113403024	1.04448865969765
25	11	13.3468996636331	-2.34689966363314
26	9	12.5196646932078	-3.51966469320785
27	11	12.5196646932078	-1.51966469320785
28	15	12.7965887736138	2.20341122638621
29	14	12.5279994277974	1.47200057220256
30	13	12.8559183378382	0.144081662161753
31	9	12.8795123068987	-3.87951230689871
32	15	12.7514686849327	2.24853131506727
33	10	12.8592958551699	-2.85929585516991
34	11	12.9191868231517	-1.91918682315173
35	13	13.0453910418836	-0.0453910418836247
36	8	12.8724143972702	-4.87241439727019
37	20	13.3750489939985	6.62495100600148
38	12	12.8462050369554	-0.846205036955416
39	10	12.9895078933923	-2.98950789339226
40	10	12.877083981678	-2.877083981678
41	9	13.2302216797505	-4.23022167975046
42	14	12.9718203337007	1.02817966629931
43	8	12.9849250138581	-4.98492501385808
44	14	12.7004146686535	1.29958533134649
45	11	12.5613066977407	-1.56130669774073
46	13	13.4613225263858	-0.461322526385828
47	9	12.7080601200965	-3.70806012009649
48	11	13.4292067567022	-2.42920675670216
49	15	12.8315483807575	2.16845161924245
50	11	13.4605604003085	-2.46056040030849
51	10	12.8435757837582	-2.8435757837582
52	14	12.7646600699637	1.23533993003626
53	18	13.215377957519	4.78462204248102
54	14	12.5599281314475	1.4400718685525
55	11	12.8354419771451	-1.83544197714511
56	12	12.9013397156558	-0.901339715655809
57	13	12.8208720258209	0.179127974179132
58	9	12.7882540390242	-3.7882540390242
59	10	13.1661496881875	-3.16614968818748
60	15	12.6188697016618	2.38113029833817
61	20	12.7580643774482	7.24193562255177
62	12	12.9866640559322	-0.986664055932166
63	12	12.637995014291	-0.637995014290996
64	14	12.7375880167551	1.2624119832449
65	13	13.0826508892023	-0.0826508892023056
66	11	13.0950073052253	-2.09500730522525
67	17	12.8509749825232	4.14902501747679
68	12	12.7212790233568	-0.721279023356764
69	13	12.9791053093628	0.0208946906371899
70	14	13.1584767185152	0.841523281484763
71	13	12.9978426279819	0.00215737201814644
72	15	12.8632033135004	2.13679668649963
73	13	12.6924404098448	0.30755959015523
74	10	12.9344460576226	-2.93444605762259
75	11	12.9884306162355	-1.98843061623552
76	19	12.8717251141236	6.12827488587642
77	13	12.7811561293957	0.218843870604315
78	17	13.0807386430375	3.9192613569625
79	13	13.0262932474837	-0.0262932474837276
80	9	12.6969957711497	-3.69699577114969
81	11	12.7563253353741	-1.75632533537414
82	10	12.7569871002915	-2.7569871002915
83	9	12.749040359712	-3.74904035971202
84	12	12.9555113403024	-0.955511340302351
85	12	13.0021970613103	-1.00219706131026
86	13	12.8451552780279	0.154844721972055
87	13	13.0668579748599	-0.0668579748598742
88	12	13.2931021710538	-1.29310217105382
89	15	12.9713181165877	2.02868188341232
90	22	13.0625763844622	8.93742361553781
91	13	12.3093868211036	0.690613178896427
92	15	12.4641420204973	2.53585797950266
93	13	13.0820896911015	-0.0820896911014723
94	15	12.7840866717294	2.2159133282706
95	10	13.2416740227074	-3.24167402270738
96	11	13.1698423565985	-2.16984235659854
97	16	12.7351596915344	3.26484030846561
98	11	12.7638840819435	-1.7638840819435
99	11	12.9041560348866	-1.90415603488664
100	10	12.8644676566907	-2.86446765669072
101	10	13.0551043427665	-3.05510434276646
102	16	12.572069757551	3.42793024244897
103	12	12.9327937204221	-0.932793720422122
104	11	12.9097019684747	-1.90970196847467
105	16	12.7629210278896	3.23707897211035
106	19	12.9615181108312	6.03848188916877
107	11	12.9296761120548	-1.9296761120548
108	16	12.7458360464711	3.25416395352893
109	15	12.8788230237521	2.12117697624791
110	24	12.7726343287725	11.2273656712275
111	14	13.3594292837468	0.640570716253199
112	15	13.087334335553	1.91266566444699
113	11	12.5279994277974	-1.52799942779744
114	15	12.8242634050954	2.17573659490457
115	12	12.9888186102456	-0.988818610245641
116	10	12.6827271089619	-2.68272710896194
117	14	13.3714566867475	0.628543313252548
118	13	13.164597712147	-0.164597712147001
119	9	12.7944617375296	-3.79446173752958
120	15	13.147599435602	1.85240056439795
121	15	12.854640132705	2.145359867295
122	14	13.0396716985484	0.96032830145165
123	11	13.13071538216	-2.13071538215998
124	8	12.5308018850854	-4.53080188508537
125	11	13.1373385929048	-2.13733859290475
126	11	12.8857200054041	-1.88572000540409
127	8	12.766038636257	-4.76603863625697
128	10	13.088685383617	-3.08868538361698
129	11	12.7115657224739	-1.71156572247393
130	13	12.7122550056206	0.287744994379449
131	11	12.8655174156182	-1.86551741561819
132	20	12.8571826810286	7.1428173189714
133	10	13.1183728280799	-3.11837282807993
134	15	12.9041560348866	2.09584396511336
135	12	12.9395036360405	-0.939503636040514
136	14	12.7558231182611	1.24417688173886
137	23	13.3258343809534	9.67416561904662
138	14	13.1625573809364	0.837442619063587
139	16	12.9586289486697	3.04137105133032
140	11	12.9376503708635	-1.93765037086354
141	12	12.9884030980063	-0.988403098006255
142	10	13.1420810202433	-3.14208102024328
143	14	13.369804349547	0.630195650453016
144	12	12.5238320605026	-0.523832060502645
145	12	12.9914340015	-0.99143400149996
146	11	12.6928284038549	-1.69282840385489
147	12	13.194787373723	-1.19478737372297
148	13	12.6878850485399	0.312114951460147
149	11	12.6935176870015	-1.69351768700151
150	19	12.7325304383372	6.26746956166282
151	12	12.9363860276732	-0.936386027673188
152	17	13.2493469923796	3.75065300762037
153	9	12.6591606581307	-3.65916065813075
154	12	13.1716956217755	-1.17169562177551
155	19	12.907273643254	6.09272635674604
156	18	12.7437957152605	5.25620428473952
157	15	13.0078296997719	1.99217030022808
158	14	13.566461462438	0.433538537562034
159	11	13.0820896911015	-2.08208969110147
160	9	12.7826214005625	-3.78262140056254
161	18	12.4374304430696	5.56256955693045
162	16	12.46102441213	3.53897558786999

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.850696738183686	0.298606523632628	0.149303261816314
8	0.83442240418122	0.331155191637561	0.165577595818781
9	0.76184595941571	0.476308081168581	0.238154040584291
10	0.706674001807563	0.586651996384874	0.293325998192437
11	0.937413638454059	0.125172723091882	0.0625863615459409
12	0.956089488256434	0.0878210234871315	0.0439105117435657
13	0.931134049775526	0.137731900448947	0.0688659502244734
14	0.897692295646463	0.204615408707075	0.102307704353537
15	0.867076185164077	0.265847629671845	0.132923814835923
16	0.818257463401877	0.363485073196246	0.181742536598123
17	0.794247754252138	0.411504491495723	0.205752245747862
18	0.745140811013292	0.509718377973416	0.254859188986708
19	0.728796882148325	0.542406235703349	0.271203117851675
20	0.667124079800895	0.665751840398209	0.332875920199104
21	0.825179352040317	0.349641295919366	0.174820647959683
22	0.776471358144221	0.447057283711557	0.223528641855779
23	0.736249950548123	0.527500098903754	0.263750049451877
24	0.694710048462232	0.610579903075536	0.305289951537768
25	0.674830694406731	0.650338611186538	0.325169305593269
26	0.639517132211037	0.720965735577925	0.360482867788963
27	0.58201180927769	0.83597638144462	0.41798819072231
28	0.554167254949138	0.891665490101724	0.445832745050862
29	0.518426473652426	0.963147052695148	0.481573526347574
30	0.463770082119289	0.927540164238577	0.536229917880711
31	0.448893102057972	0.897786204115944	0.551106897942028
32	0.44884730862988	0.89769461725976	0.55115269137012
33	0.468682948357281	0.937365896714562	0.531317051642719
34	0.433451201425676	0.866902402851351	0.566548798574324
35	0.377791282128937	0.755582564257875	0.622208717871063
36	0.414094009892931	0.828188019785862	0.585905990107069
37	0.54909622654989	0.901807546900221	0.450903773450111
38	0.495591602447906	0.991183204895812	0.504408397552094
39	0.46274271694624	0.92548543389248	0.53725728305376
40	0.43433642199793	0.86867284399586	0.56566357800207
41	0.469642757432646	0.939285514865292	0.530357242567354
42	0.426871042095448	0.853742084190896	0.573128957904552
43	0.473188191134316	0.946376382268633	0.526811808865683
44	0.469467064392186	0.938934128784373	0.530532935607814
45	0.425401370653888	0.850802741307775	0.574598629346112
46	0.375193835017883	0.750387670035766	0.624806164982117
47	0.39289075355201	0.78578150710402	0.60710924644799
48	0.363617426047463	0.727234852094925	0.636382573952537
49	0.360791536166967	0.721583072333934	0.639208463833033
50	0.343745686392966	0.687491372785932	0.656254313607034
51	0.32000135162812	0.640002703256239	0.67999864837188
52	0.285145016449694	0.570290032899387	0.714854983550307
53	0.361825019128946	0.723650038257892	0.638174980871054
54	0.32817967797948	0.65635935595896	0.67182032202052
55	0.294368346158158	0.588736692316317	0.705631653841842
56	0.25543472156975	0.5108694431395	0.74456527843025
57	0.219032381088422	0.438064762176845	0.780967618911578
58	0.229734550134061	0.459469100268122	0.77026544986594
59	0.239128177788941	0.478256355577883	0.760871822211059
60	0.245584192207509	0.491168384415018	0.754415807792491
61	0.449463755751396	0.898927511502791	0.550536244248604
62	0.405735578674783	0.811471157349566	0.594264421325217
63	0.363806381182063	0.727612762364126	0.636193618817937
64	0.332060162162665	0.66412032432533	0.667939837837335
65	0.312370570835431	0.624741141670863	0.687629429164569
66	0.285819572260742	0.571639144521484	0.714180427739258
67	0.338897485165644	0.677794970331288	0.661102514834356
68	0.299064259403632	0.598128518807264	0.700935740596368
69	0.260541134723395	0.521082269446791	0.739458865276605
70	0.227678942648165	0.455357885296331	0.772321057351835
71	0.194887386645431	0.389774773290862	0.80511261335457
72	0.181599879054506	0.363199758109011	0.818400120945494
73	0.153382841082649	0.306765682165298	0.846617158917351
74	0.151406151768714	0.302812303537428	0.848593848231286
75	0.1361774358819	0.2723548717638	0.8638225641181
76	0.22541405410868	0.45082810821736	0.77458594589132
77	0.192875834615908	0.385751669231816	0.807124165384092
78	0.214483321885213	0.428966643770426	0.785516678114787
79	0.18506824505162	0.37013649010324	0.81493175494838
80	0.19325575954998	0.386511519099961	0.80674424045002
81	0.172706293546484	0.345412587092967	0.827293706453517
82	0.163087096986774	0.326174193973547	0.836912903013226
83	0.173652709184584	0.347305418369167	0.826347290815416
84	0.147932785740731	0.295865571481461	0.85206721425927
85	0.126161056545737	0.252322113091474	0.873838943454263
86	0.106208950804444	0.212417901608888	0.893791049195556
87	0.0870905129203244	0.174181025840649	0.912909487079676
88	0.0732656545630564	0.146531309126113	0.926734345436944
89	0.0651226325704721	0.130245265140944	0.934877367429528
90	0.233009225330782	0.466018450661564	0.766990774669218
91	0.202020610212244	0.404041220424489	0.797979389787756
92	0.190121635125935	0.38024327025187	0.809878364874065
93	0.16044371310897	0.32088742621794	0.83955628689103
94	0.145432988122273	0.290865976244546	0.854567011877727
95	0.145390667040936	0.290781334081873	0.854609332959064
96	0.132176796405335	0.26435359281067	0.867823203594665
97	0.131993672386389	0.263987344772778	0.868006327613611
98	0.115661311507466	0.231322623014932	0.884338688492534
99	0.100982339272152	0.201964678544304	0.899017660727848
100	0.106010460597666	0.212020921195331	0.893989539402334
101	0.102741055242451	0.205482110484902	0.89725894475755
102	0.107008563430468	0.214017126860937	0.892991436569532
103	0.0913057740713366	0.182611548142673	0.908694225928663
104	0.0828962244820416	0.165792448964083	0.917103775517958
105	0.0820028944543432	0.164005788908686	0.917997105545657
106	0.129326369162189	0.258652738324377	0.870673630837811
107	0.113021987353134	0.226043974706269	0.886978012646866
108	0.109231824902086	0.218463649804172	0.890768175097914
109	0.0967972907567277	0.193594581513455	0.903202709243272
110	0.491560151645288	0.983120303290577	0.508439848354712
111	0.444629672368735	0.88925934473747	0.555370327631265
112	0.413449763819716	0.826899527639431	0.586550236180284
113	0.372039815068498	0.744079630136995	0.627960184931502
114	0.347883485807409	0.695766971614819	0.652116514192591
115	0.309848964541329	0.619697929082658	0.690151035458671
116	0.286849133651993	0.573698267303987	0.713150866348007
117	0.246517243154692	0.493034486309384	0.753482756845308
118	0.20860853169819	0.41721706339638	0.79139146830181
119	0.21613495411145	0.432269908222901	0.78386504588855
120	0.192941012315879	0.385882024631757	0.807058987684121
121	0.169577484919373	0.339154969838747	0.830422515080626
122	0.139540208188039	0.279080416376078	0.860459791811961
123	0.119464677145685	0.23892935429137	0.880535322854315
124	0.180019725840573	0.360039451681145	0.819980274159427
125	0.15744452122633	0.314889042452661	0.84255547877367
126	0.139460798609006	0.278921597218012	0.860539201390994
127	0.205789044540115	0.41157808908023	0.794210955459885
128	0.197175387914142	0.394350775828283	0.802824612085858
129	0.171764399077451	0.343528798154903	0.828235600922549
130	0.139640261789791	0.279280523579581	0.860359738210209
131	0.126505899857073	0.253011799714146	0.873494100142927
132	0.205227393732342	0.410454787464684	0.794772606267658
133	0.226715815890832	0.453431631781664	0.773284184109168
134	0.195467068855925	0.39093413771185	0.804532931144075
135	0.161343922731593	0.322687845463187	0.838656077268407
136	0.127619486919961	0.255238973839921	0.87238051308004
137	0.46328395385888	0.926567907717761	0.53671604614112
138	0.399548034832546	0.799096069665092	0.600451965167454
139	0.406081166896318	0.812162333792637	0.593918833103682
140	0.369630942149369	0.739261884298737	0.630369057850631
141	0.334803431341702	0.669606862683404	0.665196568658298
142	0.331677606105198	0.663355212210396	0.668322393894802
143	0.266985804407569	0.533971608815138	0.733014195592431
144	0.228834524506317	0.457669049012634	0.771165475493683
145	0.178717225187101	0.357434450374202	0.821282774812899
146	0.185986973222785	0.371973946445571	0.814013026777215
147	0.149584813993307	0.299169627986614	0.850415186006693
148	0.10794003362061	0.21588006724122	0.89205996637939
149	0.0972815322204121	0.194563064440824	0.902718467779588
150	0.131745052100476	0.263490104200951	0.868254947899524
151	0.110556665677302	0.221113331354605	0.889443334322698
152	0.0932621512017544	0.186524302403509	0.906737848798246
153	0.240498642028276	0.480997284056553	0.759501357971724
154	0.153054249891979	0.306108499783958	0.846945750108021
155	0.153901705108096	0.307803410216191	0.846098294891904

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	1	0.00671140939597315	OK