Multiple Linear Regression - Estimated Regression Equation

Y[t] = + 127.5625 + 11.7475000000000X[t] -4.92000000000005M1[t] -0.244000000000000M2[t] + 4.06399999999999M3[t] + 6.16999999999999M4[t] + 2.44999999999999M5[t] -1.52399999999999M6[t] -7.496M7[t] -3.76M8[t] -1.07600000000000M9[t] + 6.594M10[t] + 2.61200000000000M11[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)	127.5625	2.981426	42.7857	0	0
X	11.7475000000000	2.12959	5.5163	1e-06	1e-06
M1	-4.92000000000005	4.173128	-1.179	0.244343	0.122172
M2	-0.244000000000000	4.173128	-0.0585	0.953623	0.476811
M3	4.06399999999999	4.173128	0.9738	0.335117	0.167558
M4	6.16999999999999	4.173128	1.4785	0.145943	0.072972
M5	2.44999999999999	4.173128	0.5871	0.559953	0.279977
M6	-1.52399999999999	4.173128	-0.3652	0.716605	0.358303
M7	-7.496	4.173128	-1.7963	0.078883	0.039442
M8	-3.76	4.173128	-0.901	0.372181	0.18609
M9	-1.07600000000000	4.173128	-0.2578	0.797656	0.398828
M10	6.594	4.173128	1.5801	0.120789	0.060394
M11	2.61200000000000	4.173128	0.6259	0.534402	0.267201

Multiple Linear Regression - Regression Statistics
Multiple R	0.732295623763541
R-squared	0.536256880583233
Adjusted R-squared	0.41785438200874
F-TEST (value)	4.52910104972019
F-TEST (DF numerator)	12
F-TEST (DF denominator)	47
p-value	8.29031147738801e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	6.59829394455289
Sum Squared Residuals	2046.2617

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	126.51	122.642500000000	3.86749999999979
2	131.02	127.3185	3.7015
3	136.51	131.6265	4.88349999999999
4	138.04	133.7325	4.30749999999998
5	132.92	130.0125	2.90750000000000
6	129.61	126.0385	3.57150000000002
7	122.96	120.0665	2.89350000000001
8	124.04	123.8025	0.237500000000006
9	121.29	126.4865	-5.1965
10	124.56	134.1565	-9.5965
11	118.53	130.1745	-11.6445
12	113.14	127.5625	-14.4225
13	114.15	122.6425	-8.49249999999994
14	122.17	127.3185	-5.14849999999999
15	129.23	131.6265	-2.39650000000000
16	131.19	133.7325	-2.5425
17	129.12	130.0125	-0.892499999999997
18	128.28	126.0385	2.2415
19	126.83	120.0665	6.7635
20	138.13	123.8025	14.3275
21	140.52	126.4865	14.0335
22	146.83	134.1565	12.6735000000000
23	135.14	130.1745	4.96549999999999
24	131.84	127.5625	4.2775
25	125.7	122.6425	3.05750000000005
26	128.98	127.3185	1.6615
27	133.25	131.6265	1.62350000000001
28	136.76	133.7325	3.02750000000000
29	133.24	130.0125	3.22750000000001
30	128.54	126.0385	2.50149999999999
31	121.08	120.0665	1.01350000000000
32	120.23	123.8025	-3.57250000000000
33	119.08	126.4865	-7.4065
34	125.75	134.1565	-8.4065
35	126.89	130.1745	-3.28449999999999
36	126.6	127.5625	-0.962500000000005
37	121.89	122.6425	-0.752499999999949
38	123.44	127.3185	-3.87849999999999
39	126.46	131.6265	-5.1665
40	129.49	133.7325	-4.24249999999999
41	127.78	130.0125	-2.2325
42	125.29	126.0385	-0.748499999999996
43	119.02	120.0665	-1.04650000000001
44	119.96	123.8025	-3.84250000000001
45	122.86	126.4865	-3.6265
46	131.89	134.1565	-2.26650000000001
47	132.73	130.1745	2.55549999999999
48	135.01	127.5625	7.4475
49	136.71	134.39	2.32000000000005
50	142.73	139.066	3.66399999999999
51	144.43	143.374	1.05600000000000
52	144.93	145.48	-0.549999999999997
53	138.75	141.76	-3.01000000000001
54	130.22	137.786	-7.56600000000001
55	122.19	131.814	-9.62400000000001
56	128.4	135.55	-7.15
57	140.43	138.234	2.19600000000000
58	153.5	145.904	7.596
59	149.33	141.922	7.40800000000001
60	142.97	139.31	3.65999999999999

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.73589639937194	0.528207201256119	0.264103600628059
17	0.603539824719157	0.792920350561685	0.396460175280843
18	0.458752981488703	0.917505962977406	0.541247018511297
19	0.375541227317468	0.751082454634936	0.624458772682532
20	0.682367960220411	0.635264079559179	0.317632039779589
21	0.94868332322866	0.102633353542679	0.0513166767713394
22	0.996559451538348	0.0068810969233039	0.00344054846165195
23	0.997629070347254	0.00474185930549153	0.00237092965274576
24	0.99838775514341	0.00322448971317968	0.00161224485658984
25	0.997019279825688	0.00596144034862386	0.00298072017431193
26	0.99413419584067	0.0117316083186604	0.00586580415933019
27	0.989852532112003	0.0202949357759933	0.0101474678879966
28	0.98554748860594	0.0289050227881215	0.0144525113940608
29	0.981090134390577	0.0378197312188465	0.0189098656094232
30	0.978179059425586	0.0436418811488287	0.0218209405744143
31	0.976358851621372	0.0472822967572561	0.0236411483786281
32	0.971231406979726	0.0575371860405482	0.0287685930202741
33	0.970107691548494	0.0597846169030112	0.0298923084515056
34	0.982164009575174	0.0356719808496525	0.0178359904248263
35	0.980878990040457	0.0382420199190857	0.0191210099595428
36	0.975431066859627	0.0491378662807456	0.0245689331403728
37	0.953904334884833	0.0921913302303335	0.0460956651151668
38	0.941453642718261	0.117092714563478	0.0585463572817389
39	0.923791785954189	0.152416428091622	0.0762082140458112
40	0.882686447296683	0.234627105406635	0.117313552703317
41	0.802323648473791	0.395352703052418	0.197676351526209
42	0.762456024258438	0.475087951483125	0.237543975741562
43	0.821297603078206	0.357404793843588	0.178702396921794
44	0.789858940659552	0.420282118680897	0.210141059340448

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	4	0.137931034482759	NOK
5% type I error level	13	0.448275862068966	NOK
10% type I error level	16	0.551724137931034	NOK