Multiple Linear Regression - Estimated Regression Equation

Y[t] = + 0.445876947317449 + 0.0630464964599403X[t] + 0.333944163747943Y1[t] + 0.330677338008161Y2[t] -0.156978631392103Y3[t] + 0.0624645597720463Y4[t] + 0.00560319987550132t + 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)	0.445876947317449	0.154899	2.8785	0.00595	0.002975
X	0.0630464964599403	0.015138	4.1649	0.000129	6.4e-05
Y1	0.333944163747943	0.139541	2.3932	0.020664	0.010332
Y2	0.330677338008161	0.146354	2.2594	0.028433	0.014217
Y3	-0.156978631392103	0.146334	-1.0727	0.28875	0.144375
Y4	0.0624645597720463	0.137012	0.4559	0.650514	0.325257
t	0.00560319987550132	0.004337	1.292	0.202532	0.101266

Multiple Linear Regression - Regression Statistics
Multiple R	0.936908177184696
R-squared	0.87779693247555
Adjusted R-squared	0.862521549034993
F-TEST (value)	57.4648051154637
F-TEST (DF numerator)	6
F-TEST (DF denominator)	48
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.197210679275923
Sum Squared Residuals	1.86681849698261

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1.2	1.31427891049405	-0.114278910494052
2	1.5	1.36805253583041	0.131947464169587
3	1.1	1.35436347183383	-0.254363471833830
4	1.3	1.36942265217664	-0.0694226521766431
5	1.5	1.24995724822643	0.250042751773572
6	1.1	1.43218767106564	-0.332187671065641
7	1.4	1.32657642214835	0.0734235778516534
8	1.3	1.27488447197496	0.0251155280250395
9	1.5	1.43419012068135	0.0658098793186456
10	1.6	1.39513035653318	0.204869643466815
11	1.7	1.54100532110193	0.158994678898069
12	1.1	1.55020989031344	-0.450209890313441
13	1.6	1.35378612632622	0.246213873673778
14	1.3	1.30589429881680	-0.0058942988168041
15	1.7	1.49600050232245	0.203999497677548
16	1.6	1.44522871331938	0.154771286680622
17	1.7	1.64064360061899	0.0593563993810077
18	1.9	1.60287056045598	0.297129439544019
19	1.8	1.75531866357591	0.0446813364240905
20	1.9	1.8095464934378	0.0904535065622017
21	1.6	1.79032710558606	-0.190327105586062
22	1.5	1.76961486452360	-0.269614864523604
23	1.6	1.62067612750545	-0.0206761275054478
24	1.6	1.67994605534976	-0.0799460553497627
25	1.7	1.73448943317166	-0.0344894331716588
26	2	1.78306597853551	0.216934021464490
27	2	1.94708056625140	0.0529194337486037
28	1.9	2.02357980509815	-0.123579805098148
29	1.7	1.94863680551243	-0.248636805512435
30	1.8	1.87942745641514	-0.0794274564151391
31	1.9	1.87429211784901	0.0257078821509930
32	1.7	1.99042068713932	-0.290420687139317
33	2	2.00346315907836	-0.00346315907836029
34	2.1	2.09040458012855	0.00959541987144743
35	2.4	2.33559872614286	0.0644012738571437
36	2.5	2.47160825438546	0.0283917456145374
37	2.5	2.6254598761226	-0.125459876122598
38	2.6	2.59806507777451	0.00193492222548675
39	2.2	2.64010419881721	-0.440104198817212
40	2.5	2.56405322226355	-0.0640532222635459
41	2.8	2.53448017221294	0.265519827787057
42	2.8	2.80850773114932	-0.00850773114932122
43	2.9	2.82862541980883	0.0713745801911665
44	3	2.80144091669715	0.198559083302852
45	3.1	2.83550378786593	0.264496212134073
46	2.9	2.8162154790259	0.0837845209740996
47	2.7	2.6966857273927	0.00331427260729896
48	2.2	2.50947602258702	-0.309476022587024
49	2.5	2.28178595736658	0.218214042633417
50	2.3	2.21591795310242	0.0840820468975784
51	2.6	2.29471332678845	0.305286673211552
52	2.3	2.22451519065308	0.0754848093469237
53	2.2	2.26035948807870	-0.0603594880786954
54	1.8	2.05486461986693	-0.254864619866932
55	1.8	1.94704607849970	-0.147046078499697

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.211420173856209	0.422840347712417	0.788579826143791
11	0.31802405503939	0.63604811007878	0.68197594496061
12	0.268439643709498	0.536879287418996	0.731560356290502
13	0.542903819448485	0.91419236110303	0.457096180551515
14	0.422274292694362	0.844548585388724	0.577725707305638
15	0.328467881227638	0.656935762455277	0.671532118772362
16	0.246861540264447	0.493723080528893	0.753138459735553
17	0.182705144518865	0.365410289037730	0.817294855481135
18	0.176205126638044	0.352410253276088	0.823794873361956
19	0.118264932624138	0.236529865248277	0.881735067375862
20	0.114249372285798	0.228498744571596	0.885750627714202
21	0.170902093755159	0.341804187510319	0.82909790624484
22	0.432982529268914	0.865965058537827	0.567017470731086
23	0.447121642691358	0.894243285382716	0.552878357308642
24	0.42911722975912	0.85823445951824	0.57088277024088
25	0.411004852454363	0.822009704908726	0.588995147545637
26	0.438973211764935	0.87794642352987	0.561026788235065
27	0.376894933912173	0.753789867824346	0.623105066087827
28	0.313094096623238	0.626188193246476	0.686905903376762
29	0.281534701854143	0.563069403708287	0.718465298145857
30	0.214726329429644	0.429452658859288	0.785273670570356
31	0.177490287637738	0.354980575275476	0.822509712362262
32	0.21190609104764	0.42381218209528	0.78809390895236
33	0.167982618314296	0.335965236628592	0.832017381685704
34	0.133482519829578	0.266965039659156	0.866517480170422
35	0.131485943545401	0.262971887090802	0.868514056454599
36	0.128991360033838	0.257982720067677	0.871008639966162
37	0.0927168141348684	0.185433628269737	0.907283185865132
38	0.125835433180092	0.251670866360183	0.874164566819909
39	0.207861712912317	0.415723425824633	0.792138287087683
40	0.184035224654684	0.368070449309368	0.815964775345316
41	0.230181162882447	0.460362325764894	0.769818837117553
42	0.5498234619782	0.9003530760436	0.4501765380218
43	0.743142415358971	0.513715169282058	0.256857584641029
44	0.890179813533516	0.219640372932969	0.109820186466484
45	0.850979934350582	0.298040131298837	0.149020065649419

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	0	0	OK