Multiple Linear Regression - Estimated Regression Equation

X3[t] = + 0.0463207948241594 + 0.0358511465297426X1[t] + 0.000533034143459888X2[t] + 0.0221667216849505X4[t] + 0.00330809125935631`X5\r`[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)	0.0463207948241594	0.125468	0.3692	0.713581	0.356791
X1	0.0358511465297426	0.025011	1.4334	0.158091	0.079046
X2	0.000533034143459888	0.000383	1.3902	0.170736	0.085368
X4	0.0221667216849505	0.067311	0.3293	0.743319	0.371659
`X5\r`	0.00330809125935631	0.001106	2.9909	0.004344	0.002172

Multiple Linear Regression - Regression Statistics
Multiple R	0.632244531880127
R-squared	0.399733148092321
Adjusted R-squared	0.350731772426388
F-TEST (value)	8.15759032598397
F-TEST (DF numerator)	4
F-TEST (DF denominator)	49
p-value	4.00495484393915e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.0457822144318972
Sum Squared Residuals	0.102704546756123

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0.44	0.455327416619878	-0.0153274166198784
2	0.44	0.424567208866747	0.0154327911332533
3	0.46	0.446159170250283	0.0138408297497173
4	0.42	0.407402003057025	0.0125979969429747
5	0.45	0.499663472022182	-0.0496634720221821
6	0.43	0.503632558313611	-0.073632558313611
7	0.49	0.418627958911042	0.0713720410889575
8	0.47	0.484926116352896	-0.0149261163528964
9	0.44	0.452681470293091	-0.0126814702930909
10	0.48	0.458210166440474	0.0217898335595261
11	0.52	0.504744740001636	0.0152552599983636
12	0.49	0.47123740996776	0.0187625900322395
13	0.37	0.413328246098718	-0.0433282460987178
14	0.42	0.409363732940394	0.010636267059606
15	0.44	0.448988344610538	-0.00898834461053772
16	0.5	0.509585099354248	-0.00958509935424848
17	0.5	0.464675602276855	0.0353243977231455
18	0.43	0.462273923244975	-0.0322739232449753
19	0.37	0.439347521974564	-0.0693475219745642
20	0.5	0.479265460235261	0.0207345397647391
21	0.4	0.460521370921794	-0.0605213709217943
22	0.48	0.486670437600663	-0.00667043760066345
23	0.48	0.438015357072722	0.0419846429272777
24	0.43	0.461326143103703	-0.0313261431037032
25	0.56	0.52438598742741	0.0356140125725902
26	0.44	0.435573278220342	0.00442672177965752
27	0.49	0.435356225797744	0.0546437742022561
28	0.4	0.447229529356249	-0.0472295293562486
29	0.42	0.402169609571727	0.0178303904282726
30	0.49	0.50074464437791	-0.0107446443779103
31	0.48	0.432147497538117	0.0478525024618826
32	0.39	0.396140991418303	-0.00614099141830316
33	0.44	0.413039615767845	0.0269603842321552
34	0.48	0.486670437600663	-0.00667043760066345
35	0.34	0.419825168750111	-0.0798251687501109
36	0.52	0.460075390042093	0.0599246099579073
37	0.48	0.451537057300542	0.0284629426994579
38	0.41	0.394548574319849	0.015451425680151
39	0.41	0.438854247412325	-0.0288542474123254
40	0.41	0.451093109070392	-0.0410931090703919
41	0.45	0.476843713868098	-0.0268437138680978
42	0.29	0.395567509968578	-0.105567509968578
43	0.45	0.443882714742589	0.00611728525741147
44	0.55	0.457141533172981	0.0928584668270194
45	0.48	0.501468143094129	-0.0214681430941287
46	0.36	0.358565111577202	0.00143488842279787
47	0.53	0.418829357973627	0.111170642026373
48	0.35	0.401189355616156	-0.0511893556161561
49	0.41	0.458009998773463	-0.0480099987734632
50	0.43	0.408524115245758	0.0214758847542424
51	0.6	0.511854206505935	0.0881457934940647
52	0.48	0.463931837292882	0.0160681627071178
53	0.46	0.440079568204565	0.0199204317954348
54	0.44	0.464180539461351	-0.0241805394613514

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.159383438005364	0.318766876010728	0.840616561994636
9	0.188004807300257	0.376009614600514	0.811995192699743
10	0.122919404919672	0.245838809839344	0.877080595080328
11	0.21832701711189	0.436654034223779	0.78167298288811
12	0.154653597080263	0.309307194160526	0.845346402919737
13	0.285836473937077	0.571672947874154	0.714163526062923
14	0.196450529289246	0.392901058578491	0.803549470710754
15	0.130481143432289	0.260962286864579	0.869518856567711
16	0.097656037952326	0.195312075904652	0.902343962047674
17	0.0944456485757196	0.188891297151439	0.90555435142428
18	0.0758963534165527	0.151792706833105	0.924103646583447
19	0.165712323748601	0.331424647497203	0.834287676251399
20	0.133632457054375	0.267264914108751	0.866367542945625
21	0.166091263248812	0.332182526497624	0.833908736751188
22	0.117573680426309	0.235147360852619	0.882426319573691
23	0.137888811500582	0.275777623001164	0.862111188499418
24	0.111518764879465	0.22303752975893	0.888481235120535
25	0.105097096560622	0.210194193121245	0.894902903439378
26	0.0704744530416808	0.140948906083362	0.929525546958319
27	0.0926622983140027	0.185324596628005	0.907337701685997
28	0.0990920940107534	0.198184188021507	0.900907905989247
29	0.0764306654046902	0.15286133080938	0.92356933459531
30	0.0542470725627151	0.10849414512543	0.945752927437285
31	0.0494182924015497	0.0988365848030995	0.95058170759845
32	0.0338773421754294	0.0677546843508588	0.966122657824571
33	0.0239184978884763	0.0478369957769525	0.976081502111524
34	0.0141251204828683	0.0282502409657367	0.985874879517132
35	0.0538636795631435	0.107727359126287	0.946136320436856
36	0.0689090555957737	0.137818111191547	0.931090944404226
37	0.0495564127916746	0.0991128255833491	0.950443587208325
38	0.0307447092073424	0.0614894184146848	0.969255290792658
39	0.0216314488244189	0.0432628976488378	0.978368551175581
40	0.0169485200270404	0.0338970400540808	0.98305147997296
41	0.0116560021277007	0.0233120042554013	0.988343997872299
42	0.0448018781997569	0.0896037563995138	0.955198121800243
43	0.0271218671520706	0.0542437343041412	0.972878132847929
44	0.0844151035184196	0.168830207036839	0.91558489648158
45	0.22226067709617	0.44452135419234	0.77773932290383
46	0.704528582330681	0.590942835338638	0.295471417669319

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	5	0.128205128205128	NOK
10% type I error level	11	0.282051282051282	NOK