Multiple Linear Regression - Estimated Regression Equation

Accidents[t] = + 617.467 -134.365Belt[t] + 0.640148A1[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)	617.467	98.9522	6.24	2.83226e-09	1.41613e-09
Belt	-134.365	50.5694	-2.657	0.00856098	0.00428049
A1	0.640148	0.0568428	11.26	8.13815e-23	4.06907e-23

Multiple Linear Regression - Regression Statistics
Multiple R	0.721973
R-squared	0.521245
Adjusted R-squared	0.516152
F-TEST (value)	102.343
F-TEST (DF numerator)	2
F-TEST (DF denominator)	188
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	201.979
Sum Squared Residuals	7669540

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1687	1876.4	-189.396
2	1508	1583.81	-75.81
3	1507	1704.17	-197.17
4	1385	1257.07	127.928
5	1632	1783.19	-151.188
6	1511	1536.73	-25.7304
7	1559	1544.46	14.5425
8	1630	1711.91	-81.908
9	1579	1554.26	24.7395
10	1653	1176.63	476.369
11	2152	1999.07	152.935
12	2148	2388.5	-240.505
13	1752	1726.01	25.9939
14	1765	1795.33	-30.328
15	1717	1875.6	-158.601
16	1558	1597.82	-39.8174
17	1575	1680.7	-105.7
18	1520	1305.49	214.508
19	1805	1777.93	27.0661
20	1800	1850.73	-50.7331
21	1719	1428.88	290.119
22	2008	1668.88	339.116
23	2242	1816.68	425.322
24	2478	2651.75	-173.753
25	2030	2291.97	-261.967
26	1655	1638.91	16.0883
27	1693	1771.24	-78.2373
28	1623	1474.43	148.573
29	1805	1831.93	-26.9339
30	1746	1686.17	59.8348
31	1795	1635.53	159.468
32	1926	2157.39	-231.392
33	1619	1280.87	338.134
34	1992	1651.64	340.358
35	2233	2087.92	145.083
36	2192	2132.67	59.3289
37	2080	2260.97	-180.975
38	1768	1682.25	85.7516
39	1835	2058.14	-223.138
40	1569	1214.86	354.141
41	1976	2005.4	-29.3991
42	1853	1691.66	161.339
43	1965	2151.36	-186.358
44	1689	1609.68	79.3233
45	1778	1557.65	220.35
46	1976	1461.4	514.601
47	2397	1894.9	502.099
48	2654	2873.42	-219.419
49	2097	2093.86	3.14298
50	1963	2160.08	-197.077
51	1677	1426.99	250.005
52	1941	1797.99	143.006
53	2003	2089.68	-86.6831
54	1813	1579.06	233.945
55	2012	2005.44	6.55554
56	1912	1669.43	242.57
57	2084	1955.54	128.465
58	2080	1910.97	169.025
59	2118	1941.3	176.7
60	2150	2535.78	-385.785
61	1608	1751.82	-143.825
62	1503	1534.61	-31.6093
63	1548	1774.42	-226.416
64	1382	1153.15	228.849
65	1731	1658.56	72.437
66	1798	1787.45	10.5472
67	1779	1648.29	130.71
68	1887	1708.43	178.574
69	2004	1827.32	176.677
70	2077	1932.05	144.946
71	2092	1997.66	94.3437
72	2051	2404.41	-353.41
73	1577	1847.98	-270.98
74	1356	1189.51	166.492
75	1652	1944.99	-292.991
76	1382	1365.15	16.8486
77	1519	1687.85	-168.852
78	1421	1506.12	-85.1172
79	1442	1439.56	2.43974
80	1543	1492.22	50.7848
81	1656	1772.55	-116.552
82	1561	1272.74	288.262
83	1905	1542.95	362.051
84	2199	2751.15	-552.152
85	1473	1378.4	94.5952
86	1655	1924.91	-269.912
87	1407	1530.16	-123.155
88	1395	1375.47	19.5267
89	1530	1817.89	-287.893
90	1309	1238.42	70.5794
91	1526	1793.33	-267.333
92	1327	1166.94	160.057
93	1627	1537.99	89.0124
94	1748	1526.45	221.555
95	1958	1554.88	403.124
96	2274	2699.16	-425.163
97	1648	1919.43	-271.431
98	1401	1504.31	-103.314
99	1411	1528.72	-117.716
100	1403	1524.59	-121.594
101	1394	1383.83	10.1668
102	1520	1582.49	-62.4918
103	1528	1480.61	47.387
104	1643	1797.23	-154.23
105	1515	1417.29	97.709
106	1685	1381.12	303.884
107	2000	1682.76	317.237
108	2215	2294.39	-79.3945
109	1956	2363.6	-407.596
110	1462	1452.36	9.63679
111	1563	1722.02	-159.018
112	1459	1564.44	-105.443
113	1446	1367.12	78.8792
114	1622	1620.79	1.21315
115	1657	1697.19	-40.192
116	1638	1661.03	-23.0292
117	1643	1629.23	13.77
118	1683	1327.84	355.164
119	2050	1717.77	332.23
120	2262	2514.48	-252.481
121	1813	2146.06	-333.055
122	1445	1225.48	219.519
123	1762	2046.41	-284.408
124	1461	1457.72	3.27694
125	1556	1738.54	-182.537
126	1431	1537.52	-106.519
127	1427	1403.96	23.042
128	1554	1521.26	32.7432
129	1645	1662.51	-17.5102
130	1653	1312.63	340.369
131	2016	1717.01	298.995
132	2207	2572.27	-365.273
133	1665	1987.31	-322.313
134	1361	1343.71	17.2917
135	1506	1727.53	-221.53
136	1360	1395.07	-35.0681
137	1453	1478.6	-25.6019
138	1522	1653.77	-131.772
139	1460	1460.08	-0.0829152
140	1552	1614.98	-62.9765
141	1548	1329.42	218.584
142	1827	1877.02	-50.0171
143	1737	1525.4	211.596
144	1941	2326.99	-385.994
145	1474	1577.04	-103.045
146	1458	1466.8	-8.80262
147	1542	1742.58	-200.575
148	1404	1398.23	5.76536
149	1522	1728.77	-206.772
150	1385	1248.07	136.928
151	1641	1798.95	-157.95
152	1510	1413.09	96.9097
153	1681	1436.56	244.444
154	1938	1928.07	9.92647
155	1868	1955.26	-87.2632
156	1726	1992.36	-266.362
157	1456	1560.52	-104.522
158	1445	1531.48	-86.4807
159	1456	1640.52	-184.522
160	1365	1369.27	-4.26888
161	1487	1498.37	-11.3669
162	1558	1684.82	-126.817
163	1488	1374.01	113.993
164	1684	1785.48	-101.476
165	1594	1381.86	212.137
166	1850	1653.74	196.259
167	1998	1815.48	182.518
168	2079	2533.33	-454.334
169	1494	1876.48	-382.483
170	1057	998.738	58.2617
171	1218	1312.8	-94.8021
172	1168	1162.79	5.20533
173	1236	1434.32	-198.325
174	1076	1073.9	2.09892
175	1174	1269.64	-95.6356
176	1139	924.23	214.77
177	1427	1336.59	90.4071
178	1487	1439	47.9982
179	1483	1402.44	80.5588
180	1513	1607.65	-94.6456
181	1357	1543.78	-186.783
182	1165	1111.87	53.1258
183	1282	1475.77	-193.772
184	1110	1006.67	103.334
185	1297	1425.37	-128.374
186	1185	1204.68	-19.6772
187	1222	1203.36	18.6373
188	1284	1145.05	138.948
189	1444	1276.48	167.525
190	1575	1329.33	245.665
191	1737	1569.04	167.961
192	1763	NA	NA

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.121145	0.242291	0.878855
7	0.0846512	0.169302	0.915349
8	0.0413509	0.0827017	0.958649
9	0.030572	0.0611439	0.969428
10	0.712108	0.575783	0.287892
11	0.628821	0.742358	0.371179
12	0.681217	0.637566	0.318783
13	0.595406	0.809189	0.404594
14	0.504732	0.990536	0.495268
15	0.45837	0.916741	0.54163
16	0.375562	0.751124	0.624438
17	0.313226	0.626451	0.686774
18	0.336488	0.672977	0.663512
19	0.272262	0.544523	0.727738
20	0.213302	0.426605	0.786698
21	0.296875	0.59375	0.703125
22	0.415403	0.830806	0.584597
23	0.526961	0.946078	0.473039
24	0.601074	0.797852	0.398926
25	0.658618	0.682764	0.341382
26	0.598492	0.803016	0.401508
27	0.547772	0.904455	0.452228
28	0.514969	0.970061	0.485031
29	0.456361	0.912722	0.543639
30	0.400374	0.800747	0.599626
31	0.372688	0.745375	0.627312
32	0.400458	0.800916	0.599542
33	0.487806	0.975612	0.512194
34	0.56983	0.86034	0.43017
35	0.531489	0.937022	0.468511
36	0.477926	0.955852	0.522074
37	0.482564	0.965128	0.517436
38	0.434418	0.868837	0.565582
39	0.458521	0.917042	0.541479
40	0.54489	0.91022	0.45511
41	0.496225	0.992449	0.503775
42	0.469204	0.938408	0.530796
43	0.470245	0.940489	0.529755
44	0.42405	0.848099	0.57595
45	0.422043	0.844085	0.577957
46	0.657712	0.684576	0.342288
47	0.817037	0.365926	0.182963
48	0.839119	0.321763	0.160881
49	0.80979	0.380421	0.19021
50	0.814793	0.370414	0.185207
51	0.820522	0.358956	0.179478
52	0.800669	0.398661	0.199331
53	0.777192	0.445616	0.222808
54	0.779676	0.440648	0.220324
55	0.745594	0.508813	0.254406
56	0.753451	0.493098	0.246549
57	0.730011	0.539979	0.269989
58	0.71648	0.567039	0.28352
59	0.706687	0.586626	0.293313
60	0.806314	0.387372	0.193686
61	0.798089	0.403822	0.201911
62	0.769045	0.461911	0.230955
63	0.785737	0.428526	0.214263
64	0.785917	0.428167	0.214083
65	0.756376	0.487248	0.243624
66	0.722256	0.555488	0.277744
67	0.698886	0.602227	0.301114
68	0.689661	0.620679	0.310339
69	0.682748	0.634504	0.317252
70	0.668851	0.662298	0.331149
71	0.644131	0.711739	0.355869
72	0.724711	0.550578	0.275289
73	0.761249	0.477501	0.238751
74	0.744558	0.510884	0.255442
75	0.786328	0.427345	0.213672
76	0.754412	0.491175	0.245588
77	0.748069	0.503862	0.251931
78	0.72168	0.55664	0.27832
79	0.685368	0.629264	0.314632
80	0.649317	0.701365	0.350683
81	0.62432	0.75136	0.37568
82	0.663243	0.673514	0.336757
83	0.753225	0.49355	0.246775
84	0.904102	0.191796	0.0958981
85	0.88912	0.221761	0.11088
86	0.904144	0.191712	0.0958562
87	0.893689	0.212623	0.106311
88	0.873512	0.252977	0.126488
89	0.894969	0.210061	0.105031
90	0.876762	0.246475	0.123238
91	0.892078	0.215845	0.107922
92	0.88371	0.23258	0.11629
93	0.86722	0.26556	0.13278
94	0.874874	0.250251	0.125126
95	0.936604	0.126791	0.0633957
96	0.965324	0.0693514	0.0346757
97	0.97085	0.0583008	0.0291504
98	0.965444	0.0691126	0.0345563
99	0.959919	0.0801627	0.0400814
100	0.953935	0.0921307	0.0460654
101	0.942898	0.114205	0.0571024
102	0.931055	0.13789	0.0689448
103	0.917165	0.165669	0.0828346
104	0.909263	0.181473	0.0907366
105	0.89598	0.208039	0.10402
106	0.92251	0.154979	0.0774896
107	0.951181	0.0976384	0.0488192
108	0.940886	0.118228	0.059114
109	0.966752	0.0664956	0.0332478
110	0.958138	0.0837231	0.0418615
111	0.953775	0.0924501	0.0462251
112	0.945537	0.108927	0.0544633
113	0.935118	0.129764	0.064882
114	0.920595	0.158809	0.0794047
115	0.903846	0.192309	0.0961543
116	0.884316	0.231369	0.115684
117	0.862638	0.274724	0.137362
118	0.916156	0.167689	0.0838444
119	0.956681	0.086638	0.043319
120	0.955234	0.089531	0.0447655
121	0.9672	0.0656003	0.0328002
122	0.970688	0.0586239	0.0293119
123	0.975507	0.0489864	0.0244932
124	0.968446	0.063108	0.031554
125	0.966034	0.067932	0.033966
126	0.959036	0.0819271	0.0409635
127	0.948448	0.103105	0.0515523
128	0.936381	0.127238	0.0636191
129	0.921053	0.157894	0.0789472
130	0.956928	0.0861448	0.0430724
131	0.979208	0.0415844	0.0207922
132	0.98536	0.0292796	0.0146398
133	0.990283	0.0194338	0.0097169
134	0.986875	0.0262492	0.0131246
135	0.987315	0.0253705	0.0126853
136	0.982861	0.0342777	0.0171389
137	0.977034	0.0459326	0.0229663
138	0.972344	0.0553115	0.0276558
139	0.963659	0.0726817	0.0363408
140	0.953318	0.0933634	0.0466817
141	0.960415	0.0791704	0.0395852
142	0.948696	0.102608	0.0513042
143	0.958653	0.0826945	0.0413473
144	0.97813	0.0437397	0.0218699
145	0.971881	0.0562374	0.0281187
146	0.96251	0.0749803	0.0374902
147	0.961134	0.0777314	0.0388657
148	0.948874	0.102252	0.051126
149	0.94884	0.102321	0.0511603
150	0.943551	0.112898	0.056449
151	0.93575	0.128501	0.0642504
152	0.924369	0.151262	0.0756311
153	0.944718	0.110563	0.0552817
154	0.928976	0.142049	0.0710243
155	0.908871	0.182259	0.0911293
156	0.919987	0.160025	0.0800125
157	0.900736	0.198528	0.0992638
158	0.876623	0.246754	0.123377
159	0.87392	0.252159	0.12608
160	0.840271	0.319459	0.159729
161	0.801065	0.39787	0.198935
162	0.784272	0.431455	0.215728
163	0.743523	0.512953	0.256477
164	0.714716	0.570569	0.285284
165	0.710264	0.579473	0.289736
166	0.75633	0.48734	0.24367
167	0.928577	0.142845	0.0714225
168	0.913511	0.172979	0.0864895
169	0.985286	0.0294277	0.0147138
170	0.980791	0.0384187	0.0192093
171	0.973014	0.0539724	0.0269862
172	0.957964	0.0840712	0.0420356
173	0.965845	0.0683102	0.0341551
174	0.946148	0.107705	0.0538525
175	0.928495	0.143011	0.0715055
176	0.949763	0.100474	0.0502368
177	0.921852	0.156297	0.0781483
178	0.878055	0.24389	0.121945
179	0.817863	0.364275	0.182137
180	0.810545	0.378909	0.189455
181	0.873305	0.25339	0.126695
182	0.804002	0.391996	0.195998
183	0.893327	0.213346	0.106673
184	0.857281	0.285437	0.142719
185	0.926107	0.147786	0.0738931
186	0.846112	0.307776	0.153888

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	11	0.0607735	NOK
10% type I error level	41	0.226519	NOK