Multiple Linear Regression - Estimated Regression Equation

X1[t] = + 3.78840611306684 + 0.0115218273554624X2[t] + 1.12253997026526X3[t] -0.0380422350614909X4[t] -0.00819222035276419`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)	3.78840611306684	0.448754	8.4421	0	0
X2	0.0115218273554624	0.001441	7.9983	0	0
X3	1.12253997026526	0.783126	1.4334	0.158091	0.079046
X4	-0.0380422350614909	0.377025	-0.1009	0.920041	0.46002
`X5\r`	-0.00819222035276419	0.006628	-1.236	0.222337	0.111168

Multiple Linear Regression - Regression Statistics
Multiple R	0.84372399458813
R-squared	0.71187017904375
Adjusted R-squared	0.688349377333036
F-TEST (value)	30.265557602974
F-TEST (DF numerator)	4
F-TEST (DF denominator)	49
p-value	1.0609291223318e-12
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.256180564061598
Sum Squared Residuals	3.215795588743

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	6.8	6.77387813022596	0.0261218697740364
2	6.3	6.22996985779025	0.0700301422097456
3	6.4	6.33557251670631	0.0644274832936906
4	6.2	6.23862127673774	-0.0386212767377413
5	6.9	6.43122618381653	0.468773816183471
6	6.4	6.60936967424624	-0.209369674246241
7	6.3	6.36450858897931	-0.0645085889793082
8	6.8	6.86402212568483	-0.0640221256848324
9	6.9	6.92025506010881	-0.0202550601088051
10	6.7	6.61283123393068	0.0871687660693198
11	6.9	7.00634436251377	-0.106344362513765
12	6.9	7.05783709672822	-0.157837096728219
13	6.3	6.24191699107448	0.0580830089255168
14	6.1	6.29128492295706	-0.19128492295706
15	6.2	6.16027760745771	0.0397223925422883
16	6.8	6.64619544072798	0.153804559272017
17	6.5	6.39604491928507	0.103955080714933
18	7.6	6.81479105411077	0.785208945889228
19	6.3	6.50038214601071	-0.20038214601071
20	7.1	7.00188636291276	0.0981136370872348
21	6.8	6.71779930959172	0.082200690408281
22	7.3	7.27337403160029	0.0266259683997088
23	6.4	6.62626471022892	-0.226264710228919
24	6.8	6.8772269140448	-0.0772269140448011
25	7.2	6.83812975824947	0.361870241750534
26	6.4	6.33933682242985	0.0606631775701504
27	6.6	6.79884460642695	-0.19884460642695
28	6.8	6.5575822748055	0.242417725194502
29	6.1	6.24371174095154	-0.14371174095154
30	6.5	6.82049636258336	-0.320496362583363
31	6.4	6.33019805927449	0.0698019407255132
32	6	6.15204598271565	-0.152045982715655
33	6	6.38581587114722	-0.385815871147223
34	7.3	7.27337403160029	0.0266259683997088
35	6.1	6.11203968385084	-0.0120396838508399
36	6.7	7.03668387018126	-0.336683870181263
37	6.4	6.60305894684141	-0.20305894684141
38	5.8	5.96957279939882	-0.169572799398816
39	6.9	6.85290423460732	0.0470957653926849
40	7	7.02359602384999	-0.0235960238499904
41	7.3	6.81574803382076	0.484251966179236
42	5.9	5.77532853544889	0.124671464551114
43	6.2	6.44132058929693	-0.241320589296927
44	6.8	7.02313715128798	-0.223137151287981
45	7	6.85187050871508	0.148129491284916
46	5.9	5.3056383564474	0.594361643552602
47	6.1	6.32728276728836	-0.227282767288361
48	5.7	6.19608917499678	-0.496089174996776
49	7.1	7.01888404262818	0.0811159573718166
50	5.8	6.21526227959802	-0.415262279598021
51	7.4	7.06007170561105	0.339928294388953
52	6.8	6.7979771331381	0.0020228668619019
53	6.8	6.70668167117236	0.0933183288276435
54	7	6.83543646416523	0.164563535834768

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.298835572381041	0.597671144762082	0.701164427618959
9	0.310980189661388	0.621960379322776	0.689019810338612
10	0.184277409392748	0.368554818785496	0.815722590607252
11	0.12152781639281	0.24305563278562	0.87847218360719
12	0.0757649892166197	0.151529978433239	0.92423501078338
13	0.0400891255804423	0.0801782511608846	0.959910874419558
14	0.0503932783614803	0.100786556722961	0.94960672163852
15	0.0271021677597761	0.0542043355195523	0.972897832240224
16	0.0143975786319957	0.0287951572639915	0.985602421368004
17	0.00712695340333373	0.0142539068066675	0.992873046596666
18	0.554378620123371	0.891242759753259	0.445621379876629
19	0.519853133219558	0.960293733560884	0.480146866780442
20	0.434075521002937	0.868151042005873	0.565924478997063
21	0.353339666523789	0.706679333047577	0.646660333476211
22	0.27637423738274	0.552748474765481	0.72362576261726
23	0.284443984991086	0.568887969982173	0.715556015008914
24	0.222953399390374	0.445906798780748	0.777046600609626
25	0.269881591298047	0.539763182596094	0.730118408701953
26	0.206577780622736	0.413155561245472	0.793422219377264
27	0.197699479304393	0.395398958608786	0.802300520695607
28	0.191362525418138	0.382725050836277	0.808637474581862
29	0.157571048757461	0.315142097514921	0.842428951242539
30	0.168225289065994	0.336450578131987	0.831774710934006
31	0.126026820485123	0.252053640970245	0.873973179514877
32	0.100467840406922	0.200935680813844	0.899532159593078
33	0.142233541654074	0.284467083308148	0.857766458345926
34	0.098294412855655	0.19658882571131	0.901705587144345
35	0.0654547498720778	0.130909499744156	0.934545250127922
36	0.0820581087618944	0.164116217523789	0.917941891238106
37	0.0610713039559149	0.12214260791183	0.938928696044085
38	0.0450965734923729	0.0901931469847458	0.954903426507627
39	0.0271673557490538	0.0543347114981077	0.972832644250946
40	0.018686534079436	0.037373068158872	0.981313465920564
41	0.0461763568055887	0.0923527136111775	0.953823643194411
42	0.0276911801271985	0.055382360254397	0.972308819872801
43	0.0181125344383768	0.0362250688767536	0.981887465561623
44	0.0161113585101868	0.0322227170203736	0.983888641489813
45	0.0250544000310359	0.0501088000620717	0.974945599968964
46	0.917170041142346	0.165659917715309	0.0828299588576545

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	12	0.307692307692308	NOK