Multiple Linear Regression - Estimated Regression Equation

Births[t] = + 9330.59 + 107.621M1[t] -635.532M2[t] -287.828M3[t] + 8.74534M4[t] -879.764M5[t] + 75.7257M6[t] -309.617M7[t] -141.294M8[t] -196.97M9[t] + 367.186M10[t] + 234.51M11[t] + 11.0098t + 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)	9330.59	136.432	68.39	4.20864e-60	2.10432e-60
M1	107.621	162.985	0.6603	0.5115	0.25575
M2	-635.532	162.917	-3.901	0.000238413	0.000119206
M3	-287.828	162.864	-1.767	0.082101	0.0410505
M4	8.74534	169.407	0.05162	0.958995	0.479497
M5	-879.764	169.298	-5.197	2.40438e-06	1.20219e-06
M6	75.7257	169.203	0.4475	0.656043	0.328022
M7	-309.617	169.123	-1.831	0.0719491	0.0359745
M8	-141.294	169.058	-0.8358	0.406492	0.203246
M9	-196.97	169.007	-1.165	0.248298	0.124149
M10	367.186	168.97	2.173	0.0336038	0.0168019
M11	234.51	168.949	1.388	0.170088	0.0850442
t	11.0098	1.56912	7.017	2.01289e-09	1.00644e-09

Multiple Linear Regression - Regression Statistics
Multiple R	0.846484
R-squared	0.716535
Adjusted R-squared	0.66167
F-TEST (value)	13.0601
F-TEST (DF numerator)	12
F-TEST (DF denominator)	62
p-value	8.07798e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	292.615
Sum Squared Residuals	5308660

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	9700	9449.22	250.783
2	9081	8717.07	363.925
3	9084	9075.79	8.21118
4	9743	9383.37	359.628
5	8587	8505.87	81.1284
6	9731	9472.37	258.628
7	9563	9098.04	464.962
8	9998	9277.37	720.628
9	9437	9232.7	204.295
10	10038	9807.87	230.128
11	9918	9686.2	231.795
12	9252	9462.7	-210.705
13	9737	9581.34	155.665
14	9035	8849.19	185.807
15	9133	9207.91	-74.9068
16	9487	9515.49	-28.4896
17	8700	8637.99	62.0104
18	9627	9604.49	22.5104
19	8947	9230.16	-283.156
20	9283	9409.49	-126.49
21	8829	9364.82	-535.823
22	9947	9939.99	7.01035
23	9628	9818.32	-190.323
24	9318	9594.82	-276.823
25	9605	9713.45	-108.453
26	8640	8981.31	-341.311
27	9214	9340.02	-126.025
28	9567	9647.61	-80.6077
29	8547	8770.11	-223.108
30	9185	9736.61	-551.608
31	9470	9362.27	107.726
32	9123	9541.61	-418.608
33	9278	9496.94	-218.941
34	10170	10072.1	97.8923
35	9434	9950.44	-516.441
36	9655	9726.94	-71.941
37	9429	9845.57	-416.571
38	8739	9113.43	-374.429
39	9552	9472.14	79.8571
40	9687	9779.73	-92.7257
41	9019	8902.23	116.774
42	9672	9868.73	-196.726
43	9206	9494.39	-288.392
44	9069	9673.73	-604.726
45	9788	9629.06	158.941
46	10312	10204.2	107.774
47	10105	10082.6	22.441
48	9863	9859.06	3.94099
49	9656	9977.69	-321.689
50	9295	9245.55	49.4534
51	9946	9604.26	341.739
52	9701	9911.84	-210.844
53	9049	9034.34	14.6563
54	10190	10000.8	189.156
55	9706	9626.51	79.4896
56	9765	9805.84	-40.8437
57	9893	9761.18	131.823
58	9994	10336.3	-342.344
59	10433	10214.7	218.323
60	10073	9991.18	81.823
61	10112	10109.8	2.19255
62	9266	9377.66	-111.665
63	9820	9736.38	83.6211
64	10097	10044	53.0383
65	9115	9166.46	-51.4617
66	10411	10133	278.038
67	9678	9758.63	-80.6284
68	10408	9937.96	470.038
69	10153	9893.3	259.705
70	10368	10468.5	-100.462
71	10581	10346.8	234.205
72	10597	10123.3	473.705
73	10680	10241.9	438.075
74	9738	9509.78	228.217
75	9556	9868.5	-312.497

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.085795	0.17159	0.914205
17	0.0524991	0.104998	0.947501
18	0.0231044	0.0462088	0.976896
19	0.231495	0.46299	0.768505
20	0.455793	0.911585	0.544207
21	0.504625	0.99075	0.495375
22	0.437678	0.875355	0.562322
23	0.340352	0.680704	0.659648
24	0.310856	0.621712	0.689144
25	0.267236	0.534473	0.732764
26	0.20685	0.4137	0.79315
27	0.239916	0.479833	0.760084
28	0.205631	0.411263	0.794369
29	0.153269	0.306538	0.846731
30	0.173008	0.346017	0.826992
31	0.268003	0.536006	0.731997
32	0.261416	0.522833	0.738584
33	0.268459	0.536918	0.731541
34	0.342995	0.68599	0.657005
35	0.358774	0.717547	0.641226
36	0.431906	0.863811	0.568094
37	0.380363	0.760726	0.619637
38	0.329101	0.658202	0.670899
39	0.450505	0.90101	0.549495
40	0.40319	0.80638	0.59681
41	0.485094	0.970188	0.514906
42	0.454317	0.908634	0.545683
43	0.380756	0.761513	0.619244
44	0.606127	0.787746	0.393873
45	0.674997	0.650006	0.325003
46	0.752291	0.495418	0.247709
47	0.728812	0.542376	0.271188
48	0.704139	0.591723	0.295861
49	0.747127	0.505746	0.252873
50	0.699422	0.601156	0.300578
51	0.916225	0.167551	0.0837754
52	0.872687	0.254626	0.127313
53	0.837587	0.324827	0.162413
54	0.791321	0.417359	0.208679
55	0.789484	0.421032	0.210516
56	0.775925	0.448149	0.224075
57	0.673059	0.653883	0.326941
58	0.539452	0.921095	0.460548
59	0.41611	0.832221	0.58389

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	1	0.0227273	OK
10% type I error level	1	0.0227273	OK