Multiple Linear Regression - Estimated Regression Equation

Y[t] = + 118.427761851709 -0.0801344199419449X[t] -1.64513563400788Y1[t] + 1.62948208638638Y2[t] + 0.420973600787796t + 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)	118.427761851709	31.98194	3.703	0.000541	0.00027
X	-0.0801344199419449	0.017396	-4.6064	2.9e-05	1.5e-05
Y1	-1.64513563400788	1.181023	-1.393	0.169915	0.084958
Y2	1.62948208638638	1.225912	1.3292	0.189938	0.094969
t	0.420973600787796	0.032121	13.1058	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.98962756756525
R-squared	0.979362722485113
Adjusted R-squared	0.977678046769612
F-TEST (value)	581.336047925333
F-TEST (DF numerator)	4
F-TEST (DF denominator)	49
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.730093650301397
Sum Squared Residuals	26.1188001723105

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	109.99	109.911438521240	0.0785614787604981
2	112.01	110.670650574359	1.33934942564122
3	111.96	111.292764035628	0.667235964372123
4	111.41	111.841528235971	-0.431528235971084
5	112.11	112.217184423091	-0.107184423091427
6	111.67	112.473731861046	-0.80373186104607
7	111.95	113.072852743003	-1.12285274300288
8	112.31	113.503290871561	-1.19329087156149
9	113.26	113.868438315265	-0.608438315265402
10	113.5	114.047735239172	-0.547735239172297
11	114.43	114.180128261404	0.249871738595770
12	115.02	114.770766094938	0.249233905061831
13	115.1	115.014727561795	0.085272438205065
14	117.11	115.46904948086	1.64095051914007
15	117.52	116.066854679271	1.45314532072905
16	116.1	116.431309713748	-0.331309713747685
17	116.39	116.548413395295	-0.158413395295359
18	116.01	116.494573691869	-0.484573691869246
19	116.74	117.297736605861	-0.557736605860636
20	116.68	117.470582574949	-0.790582574949178
21	117.45	117.708586694248	-0.258586694247897
22	117.8	118.049850347445	-0.249850347445452
23	119.37	118.394190309893	0.975809690106882
24	118.9	118.562210547637	0.337789452363106
25	119.05	119.218855476084	-0.168855476084341
26	120.46	119.639783942795	0.820216057204807
27	120.99	120.013212765369	0.976787234631236
28	119.86	120.305971294249	-0.445971294249443
29	120.18	119.892646450250	0.287353549750298
30	119.81	120.109572283830	-0.299572283830449
31	120.15	120.392995951999	-0.242995951998651
32	119.8	120.424592404899	-0.624592404898929
33	120.27	120.429670832615	-0.159670832615038
34	120.71	120.682786623876	0.0272133761235505
35	121.87	121.108109950969	0.76189004903057
36	121.87	122.266817353508	-0.396817353508053
37	121.92	122.502009569407	-0.582009569407412
38	123.72	122.552757217209	1.16724278279059
39	124.38	122.957703934009	1.42229606599118
40	123.21	123.133605079102	0.0763949208978032
41	123.17	123.328904886166	-0.158904886165873
42	122.95	123.616329341807	-0.666329341807101
43	123.46	124.059645379171	-0.599645379170719
44	123.24	123.671484141343	-0.431484141343407
45	123.86	123.785511513641	0.0744884863590672
46	124.28	124.311738006466	-0.0317380064660795
47	124.78	124.681349445461	0.098650554539271
48	125.19	125.835836125314	-0.645836125314084
49	125.46	126.327413350951	-0.867413350950698
50	127.6	126.611086690335	0.988913309664724
51	127.8	126.517926586440	1.28207341356045
52	126.63	126.885732265653	-0.255732265652858
53	127.06	127.358116029897	-0.298116029897032
54	126.77	127.309240327633	-0.539240327632887

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.425351786077308	0.850703572154616	0.574648213922692
9	0.533957462090459	0.932085075819082	0.466042537909541
10	0.43239116866759	0.86478233733518	0.56760883133241
11	0.546384540636606	0.907230918726788	0.453615459363394
12	0.552827697318838	0.894344605362324	0.447172302681162
13	0.440338654031651	0.880677308063302	0.559661345968349
14	0.657196917167441	0.685606165665119	0.342803082832559
15	0.77589129041681	0.448217419166379	0.224108709583190
16	0.793492943582606	0.413014112834788	0.206507056417394
17	0.73193407780455	0.536131844390899	0.268065922195450
18	0.70621688651292	0.587566226974159	0.293783113487079
19	0.698172390304744	0.603655219390513	0.301827609695256
20	0.782133266165397	0.435733467669205	0.217866733834603
21	0.779648271303431	0.440703457393138	0.220351728696569
22	0.793838263241177	0.412323473517646	0.206161736758823
23	0.763815897765433	0.472368204469134	0.236184102234567
24	0.694509937565115	0.61098012486977	0.305490062434885
25	0.649636444125778	0.700727111748444	0.350363555874222
26	0.604312072384599	0.791375855230803	0.395687927615401
27	0.593879435838559	0.812241128322883	0.406120564161441
28	0.668822504186514	0.662354991626972	0.331177495813486
29	0.616248951204143	0.767502097591713	0.383751048795857
30	0.631404689325268	0.737190621349463	0.368595310674732
31	0.604510319852827	0.790979360294346	0.395489680147173
32	0.658011208072595	0.683977583854809	0.341988791927405
33	0.623883364375427	0.752233271249145	0.376116635624573
34	0.587119177351061	0.825761645297878	0.412880822648939
35	0.509708922465747	0.980582155068506	0.490291077534253
36	0.460435256928598	0.920870513857196	0.539564743071402
37	0.554534218764589	0.890931562470821	0.445465781235411
38	0.487993485569209	0.975986971138418	0.512006514430791
39	0.609057789359538	0.781884421280925	0.390942210640462
40	0.567944469430287	0.864111061139425	0.432055530569713
41	0.530776400471926	0.938447199056148	0.469223599528074
42	0.468618624623386	0.937237249246771	0.531381375376614
43	0.396719856675648	0.793439713351296	0.603280143324352
44	0.298314707601288	0.596629415202577	0.701685292398712
45	0.36088115244975	0.7217623048995	0.63911884755025
46	0.224588411665873	0.449176823331745	0.775411588334127

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