Multiple Linear Regression - Estimated Regression Equation

Y[t] = + 145.45625 -16.640625X[t] -0.528124999999965M1[t] -11.328125M2[t] -20.1281250000000M3[t] -23.1281250000000M4[t] -21.6M5[t] -24.6M6[t] -29.4M7[t] -32.2000000000001M8[t] -38.6M9[t] -37.2M10[t] -6.00000000000003M11[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)	145.45625	5.043099	28.8426	0	0
X	-16.640625	3.057828	-5.442	2e-06	1e-06
M1	-0.528124999999965	6.946049	-0.076	0.939716	0.469858
M2	-11.328125	6.946049	-1.6309	0.109601	0.054801
M3	-20.1281250000000	6.946049	-2.8978	0.005692	0.002846
M4	-23.1281250000000	6.946049	-3.3297	0.001698	0.000849
M5	-21.6	6.919074	-3.1218	0.003072	0.001536
M6	-24.6	6.919074	-3.5554	0.000873	0.000437
M7	-29.4	6.919074	-4.2491	0.000101	5e-05
M8	-32.2000000000001	6.919074	-4.6538	2.7e-05	1.3e-05
M9	-38.6	6.919074	-5.5788	1e-06	1e-06
M10	-37.2	6.919074	-5.3764	2e-06	1e-06
M11	-6.00000000000003	6.919074	-0.8672	0.390256	0.195128

Multiple Linear Regression - Regression Statistics
Multiple R	0.847811656096568
R-squared	0.718784604213205
Adjusted R-squared	0.646984928693172
F-TEST (value)	10.0109728770662
F-TEST (DF numerator)	12
F-TEST (DF denominator)	47
p-value	2.53967291641288e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	10.9400171875473
Sum Squared Residuals	5625.14687500001

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	161	144.928125000000	16.0718750000002
2	149	134.128125	14.87187500
3	139	125.328125	13.671875
4	135	122.328125	12.6718750000000
5	130	123.85625	6.14375000000002
6	127	120.85625	6.14375000000003
7	122	116.05625	5.94374999999993
8	117	113.25625	3.74374999999995
9	112	106.85625	5.14374999999999
10	113	108.25625	4.74375000000006
11	149	139.45625	9.54374999999998
12	157	145.45625	11.54375
13	157	144.928125	12.0718750000000
14	147	134.128125	12.871875
15	137	125.328125	11.671875
16	132	122.328125	9.671875
17	125	123.85625	1.14374999999999
18	123	120.85625	2.14374999999999
19	117	116.05625	0.943750000000015
20	114	113.25625	0.743750000000012
21	111	106.85625	4.14375000000001
22	112	108.25625	3.74374999999999
23	144	139.45625	4.54375
24	150	145.45625	4.54374999999997
25	149	144.928125	4.07187499999995
26	134	134.128125	-0.128124999999997
27	123	125.328125	-2.32812499999999
28	116	122.328125	-6.328125
29	117	123.85625	-6.85625000000001
30	111	120.85625	-9.85625
31	105	116.05625	-11.0562500000000
32	102	113.25625	-11.25625
33	95	106.85625	-11.85625
34	93	108.25625	-15.25625
35	124	139.45625	-15.45625
36	130	145.45625	-15.4562500000000
37	124	144.928125	-20.9281250000001
38	115	134.128125	-19.128125
39	106	125.328125	-19.328125
40	105	122.328125	-17.328125
41	105	107.215625	-2.215625
42	101	104.215625	-3.21562500000001
43	95	99.415625	-4.41562499999998
44	93	96.615625	-3.61562499999998
45	84	90.215625	-6.215625
46	87	91.615625	-4.61562500000002
47	116	122.815625	-6.815625
48	120	128.815625	-8.81562500000002
49	117	128.2875	-11.2875000000000
50	109	117.4875	-8.48749999999999
51	105	108.6875	-3.68749999999999
52	107	105.6875	1.31250000000001
53	109	107.215625	1.784375
54	109	104.215625	4.78437499999999
55	108	99.415625	8.58437500000002
56	107	96.615625	10.3843750000000
57	99	90.215625	8.784375
58	103	91.615625	11.3843750000000
59	131	122.815625	8.18437500000001
60	137	128.815625	8.18437499999999

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.0234507771973019	0.0469015543946039	0.976549222802698
17	0.0145369042941007	0.0290738085882013	0.9854630957059
18	0.00665784303325777	0.0133156860665155	0.993342156966742
19	0.00397175772754815	0.0079435154550963	0.996028242272452
20	0.00148725694702010	0.00297451389404020	0.99851274305298
21	0.000484057676460856	0.000968115352921712	0.999515942323539
22	0.000155429509675655	0.000310859019351311	0.999844570490324
23	0.000142537852105836	0.000285075704211673	0.999857462147894
24	0.000295230695616832	0.000590461391233664	0.999704769304383
25	0.00545869260817769	0.0109173852163554	0.994541307391822
26	0.0755665681365686	0.151133136273137	0.924433431863431
27	0.279807541348509	0.559615082697018	0.720192458651491
28	0.513808319777607	0.972383360444787	0.486191680222393
29	0.5372617719399	0.9254764561202	0.4627382280601
30	0.58323559704536	0.83352880590928	0.41676440295464
31	0.608609085331046	0.782781829337909	0.391390914668955
32	0.60216025230332	0.79567949539336	0.39783974769668
33	0.623209946725054	0.753580106549893	0.376790053274946
34	0.667553067487257	0.664893865025486	0.332446932512743
35	0.709935050882015	0.580129898235971	0.290064949117985
36	0.730947672769812	0.538104654460377	0.269052327230188
37	0.807271090354981	0.385457819290037	0.192728909645019
38	0.81878368534329	0.362432629313421	0.181216314656710
39	0.797473381296492	0.405053237407015	0.202526618703507
40	0.74084702528502	0.51830594942996	0.25915297471498
41	0.627572298245581	0.744855403508837	0.372427701754419
42	0.513497460785119	0.973005078429763	0.486502539214881
43	0.430866030128565	0.86173206025713	0.569133969871435
44	0.350983763231247	0.701967526462494	0.649016236768753

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	6	0.206896551724138	NOK
5% type I error level	10	0.344827586206897	NOK
10% type I error level	10	0.344827586206897	NOK