Multiple Linear Regression - Estimated Regression Equation |
SOMIVBH [t] = + 12.5727 -0.267577TVDC1[t] + 0.574394TVDC2[t] -0.131866TVDC3[t] + 0.274298TVDC4[t] -0.0860573`ALG4(geslacht)`[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) | +12.57 | 1.655 | +7.5990e+00 | 2.265e-12 | 1.132e-12 |
TVDC1 | -0.2676 | 0.2257 | -1.1860e+00 | 0.2375 | 0.1188 |
TVDC2 | +0.5744 | 0.3426 | +1.6760e+00 | 0.0956 | 0.0478 |
TVDC3 | -0.1319 | 0.2885 | -4.5700e-01 | 0.6483 | 0.3241 |
TVDC4 | +0.2743 | 0.2843 | +9.6480e-01 | 0.3361 | 0.1681 |
`ALG4(geslacht)` | -0.08606 | 0.3249 | -2.6490e-01 | 0.7914 | 0.3957 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.1851 |
R-squared | 0.03427 |
Adjusted R-squared | 0.004466 |
F-TEST (value) | 1.15 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 162 |
p-value | 0.3364 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.086 |
Sum Squared Residuals | 705 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 11 | 13.57 | -2.567 |
2 | 11 | 13.66 | -2.656 |
3 | 15 | 14.37 | 0.6342 |
4 | 15 | 13.92 | 1.077 |
5 | 13 | 14.28 | -1.284 |
6 | 14 | 12.95 | 1.051 |
7 | 13 | 13.5 | -0.498 |
8 | 15 | 13.79 | 1.209 |
9 | 14 | 14.15 | -0.1518 |
10 | 15 | 13.61 | 1.39 |
11 | 10 | 13.61 | -3.61 |
12 | 11 | 14.01 | -3.009 |
13 | 16 | 14.28 | 1.716 |
14 | 17 | 13.43 | 3.565 |
15 | 14 | 14.28 | -0.2836 |
16 | 13 | 13.52 | -0.5238 |
17 | 10 | 14.28 | -4.284 |
18 | 13 | 14.47 | -1.465 |
19 | 17 | 14.07 | 2.934 |
20 | 18 | 13.66 | 4.344 |
21 | 17 | 14.01 | 2.991 |
22 | 11 | 13.66 | -2.656 |
23 | 15 | 13.92 | 1.077 |
24 | 12 | 14.15 | -2.152 |
25 | 15 | 13.57 | 1.429 |
26 | 15 | 14.28 | 0.7164 |
27 | 12 | 14.01 | -2.009 |
28 | 19 | 13.88 | 5.123 |
29 | 13 | 13.88 | -0.8775 |
30 | 15 | 14.41 | 0.5912 |
31 | 13 | 13.22 | -0.217 |
32 | 10 | 14.02 | -4.016 |
33 | 14 | 13.6 | 0.3968 |
34 | 12 | 12.77 | -0.7745 |
35 | 15 | 13.61 | 1.39 |
36 | 13 | 14.01 | -1.009 |
37 | 18 | 13.89 | 4.109 |
38 | 15 | 14.82 | 0.1812 |
39 | 11 | 13.88 | -2.884 |
40 | 14 | 13.92 | 0.07672 |
41 | 11 | 13.52 | -2.524 |
42 | 14 | 13.48 | 0.5192 |
43 | 9 | 13.79 | -4.791 |
44 | 13 | 13.92 | -0.9233 |
45 | 13 | 14.06 | -1.059 |
46 | 12 | 13.79 | -1.791 |
47 | 17 | 13.92 | 3.077 |
48 | 16 | 14.32 | 1.677 |
49 | 15 | 13.83 | 1.166 |
50 | 16 | 13.52 | 2.476 |
51 | 16 | 14.18 | 1.816 |
52 | 13 | 14.5 | -1.504 |
53 | 13 | 14.02 | -1.016 |
54 | 12 | 14.28 | -2.277 |
55 | 11 | 14.46 | -3.458 |
56 | 13 | 14.01 | -1.009 |
57 | 15 | 14.32 | 0.6838 |
58 | 13 | 14.2 | -1.198 |
59 | 14 | 14.01 | -0.009338 |
60 | 13 | 13.52 | -0.5238 |
61 | 15 | 13.66 | 1.344 |
62 | 14 | 14.5 | -0.4977 |
63 | 14 | 13.66 | 0.3443 |
64 | 13 | 14.01 | -1.009 |
65 | 11 | 12.5 | -1.5 |
66 | 14 | 13.61 | 0.3901 |
67 | 17 | 14.19 | 2.809 |
68 | 15 | 14.82 | 0.1812 |
69 | 15 | 13.66 | 1.344 |
70 | 13 | 13.92 | -0.9233 |
71 | 12 | 13.92 | -1.923 |
72 | 14 | 14.14 | -0.1412 |
73 | 11 | 13.62 | -2.616 |
74 | 14 | 14.59 | -0.5905 |
75 | 18 | 13.92 | 4.077 |
76 | 15 | 13.04 | 1.964 |
77 | 18 | 14.19 | 3.809 |
78 | 16 | 15.09 | 0.9069 |
79 | 12 | 13.52 | -1.524 |
80 | 14 | 13.79 | 0.2086 |
81 | 14 | 14.37 | -0.3695 |
82 | 14 | 13.88 | 0.1225 |
83 | 14 | 14.02 | -0.01606 |
84 | 13 | 14.07 | -1.066 |
85 | 12 | 14.65 | -2.647 |
86 | 13 | 14.07 | -1.066 |
87 | 15 | 13.8 | 1.202 |
88 | 13 | 13.92 | -0.9233 |
89 | 14 | 14.02 | -0.01606 |
90 | 15 | 13.92 | 1.081 |
91 | 13 | 14.01 | -1.009 |
92 | 14 | 14.45 | -0.4519 |
93 | 17 | 13.88 | 3.123 |
94 | 15 | 14.45 | 0.5481 |
95 | 13 | 13.92 | -0.9233 |
96 | 14 | 14.2 | -0.1976 |
97 | 17 | 15.05 | 1.954 |
98 | 8 | 13.88 | -5.884 |
99 | 15 | 13.66 | 1.344 |
100 | 10 | 14.2 | -4.198 |
101 | 15 | 14.15 | 0.8482 |
102 | 15 | 14.01 | 0.9907 |
103 | 14 | 14.46 | -0.4584 |
104 | 15 | 13.92 | 1.077 |
105 | 18 | 14.07 | 3.934 |
106 | 14 | 14.2 | -0.1976 |
107 | 19 | 13.88 | 5.123 |
108 | 16 | 14.01 | 1.991 |
109 | 17 | 14.28 | 2.716 |
110 | 18 | 14.2 | 3.802 |
111 | 13 | 14.06 | -1.055 |
112 | 10 | 13.92 | -3.923 |
113 | 14 | 13.83 | 0.1656 |
114 | 13 | 14.16 | -1.158 |
115 | 12 | 14.2 | -2.198 |
116 | 13 | 13.74 | -0.7418 |
117 | 12 | 14.15 | -2.152 |
118 | 13 | 13.66 | -0.6557 |
119 | 16 | 14.28 | 1.723 |
120 | 12 | 14.01 | -2.009 |
121 | 14 | 14.28 | -0.2769 |
122 | 17 | 14.2 | 2.802 |
123 | 14 | 13.92 | 0.07672 |
124 | 12 | 14.07 | -2.066 |
125 | 14 | 13.92 | 0.07672 |
126 | 17 | 13.66 | 3.344 |
127 | 13 | 13.88 | -0.8775 |
128 | 11 | 14.01 | -3.009 |
129 | 14 | 13.92 | 0.07672 |
130 | 11 | 14.02 | -3.016 |
131 | 17 | 14.2 | 2.802 |
132 | 15 | 15.13 | -0.1323 |
133 | 10 | 13.62 | -3.616 |
134 | 15 | 14.1 | 0.898 |
135 | 16 | 14.28 | 1.716 |
136 | 17 | 14.43 | 2.574 |
137 | 15 | 13.83 | 1.166 |
138 | 12 | 13.92 | -1.923 |
139 | 15 | 14.46 | 0.5414 |
140 | 10 | 14.45 | -4.452 |
141 | 13 | 13.7 | -0.7025 |
142 | 17 | 14.28 | 2.723 |
143 | 17 | 14.2 | 2.802 |
144 | 16 | 14.41 | 1.591 |
145 | 15 | 14.37 | 0.6342 |
146 | 16 | 14.73 | 1.267 |
147 | 16 | 14.37 | 1.627 |
148 | 15 | 13.35 | 1.651 |
149 | 16 | 14.28 | 1.716 |
150 | 14 | 13.83 | 0.1656 |
151 | 17 | 14.28 | 2.716 |
152 | 14 | 13.74 | 0.2582 |
153 | 12 | 13.92 | -1.923 |
154 | 15 | 14.59 | 0.4097 |
155 | 14 | 13.92 | 0.07672 |
156 | 15 | 13.52 | 1.476 |
157 | 14 | 14.14 | -0.1412 |
158 | 13 | 13.92 | -0.9233 |
159 | 16 | 13.88 | 2.116 |
160 | 13 | 13.92 | -0.9233 |
161 | 14 | 14.18 | -0.1843 |
162 | 13 | 14.55 | -1.551 |
163 | 13 | 14.01 | -1.009 |
164 | 15 | 14.28 | 0.7164 |
165 | 13 | 13.7 | -0.7025 |
166 | 14 | 14.2 | -0.1976 |
167 | 13 | 14.06 | -1.055 |
168 | 12 | 14.83 | -2.826 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
9 | 0.08558 | 0.1712 | 0.9144 |
10 | 0.1348 | 0.2697 | 0.8652 |
11 | 0.367 | 0.7339 | 0.633 |
12 | 0.3339 | 0.6677 | 0.6661 |
13 | 0.4981 | 0.9963 | 0.5019 |
14 | 0.6343 | 0.7313 | 0.3657 |
15 | 0.5423 | 0.9154 | 0.4577 |
16 | 0.4454 | 0.8909 | 0.5546 |
17 | 0.5728 | 0.8543 | 0.4272 |
18 | 0.5987 | 0.8025 | 0.4013 |
19 | 0.6039 | 0.7921 | 0.3961 |
20 | 0.899 | 0.202 | 0.101 |
21 | 0.9331 | 0.1337 | 0.06687 |
22 | 0.9314 | 0.1373 | 0.06864 |
23 | 0.9079 | 0.1842 | 0.0921 |
24 | 0.9014 | 0.1972 | 0.09859 |
25 | 0.8762 | 0.2476 | 0.1238 |
26 | 0.8621 | 0.2757 | 0.1379 |
27 | 0.846 | 0.308 | 0.154 |
28 | 0.9384 | 0.1232 | 0.0616 |
29 | 0.9284 | 0.1433 | 0.07163 |
30 | 0.9082 | 0.1836 | 0.09179 |
31 | 0.9 | 0.2 | 0.1 |
32 | 0.9128 | 0.1744 | 0.08721 |
33 | 0.8927 | 0.2146 | 0.1073 |
34 | 0.8773 | 0.2454 | 0.1227 |
35 | 0.8639 | 0.2721 | 0.1361 |
36 | 0.8359 | 0.3283 | 0.1641 |
37 | 0.8832 | 0.2335 | 0.1168 |
38 | 0.8604 | 0.2792 | 0.1396 |
39 | 0.8593 | 0.2813 | 0.1407 |
40 | 0.828 | 0.3441 | 0.172 |
41 | 0.8428 | 0.3143 | 0.1572 |
42 | 0.8107 | 0.3786 | 0.1893 |
43 | 0.9408 | 0.1185 | 0.05923 |
44 | 0.9273 | 0.1454 | 0.07268 |
45 | 0.9243 | 0.1514 | 0.07571 |
46 | 0.9197 | 0.1606 | 0.08031 |
47 | 0.9385 | 0.123 | 0.06148 |
48 | 0.9287 | 0.1426 | 0.07132 |
49 | 0.9123 | 0.1753 | 0.08766 |
50 | 0.9244 | 0.1511 | 0.07556 |
51 | 0.9297 | 0.1406 | 0.07029 |
52 | 0.9167 | 0.1666 | 0.08332 |
53 | 0.9125 | 0.175 | 0.08752 |
54 | 0.9174 | 0.1652 | 0.08259 |
55 | 0.9467 | 0.1066 | 0.05328 |
56 | 0.9352 | 0.1296 | 0.06482 |
57 | 0.9233 | 0.1535 | 0.07673 |
58 | 0.9086 | 0.1827 | 0.09135 |
59 | 0.8877 | 0.2246 | 0.1123 |
60 | 0.8649 | 0.2703 | 0.1351 |
61 | 0.8496 | 0.3008 | 0.1504 |
62 | 0.8216 | 0.3568 | 0.1784 |
63 | 0.7903 | 0.4194 | 0.2097 |
64 | 0.7625 | 0.4751 | 0.2375 |
65 | 0.7558 | 0.4884 | 0.2442 |
66 | 0.7195 | 0.5611 | 0.2805 |
67 | 0.7477 | 0.5045 | 0.2523 |
68 | 0.7105 | 0.579 | 0.2895 |
69 | 0.6872 | 0.6256 | 0.3128 |
70 | 0.6532 | 0.6935 | 0.3468 |
71 | 0.6449 | 0.7102 | 0.3551 |
72 | 0.6021 | 0.7959 | 0.3979 |
73 | 0.6262 | 0.7476 | 0.3738 |
74 | 0.5853 | 0.8294 | 0.4147 |
75 | 0.6999 | 0.6002 | 0.3001 |
76 | 0.6945 | 0.611 | 0.3055 |
77 | 0.7778 | 0.4443 | 0.2222 |
78 | 0.7529 | 0.4943 | 0.2471 |
79 | 0.7339 | 0.5321 | 0.2661 |
80 | 0.6962 | 0.6077 | 0.3038 |
81 | 0.6573 | 0.6854 | 0.3427 |
82 | 0.6148 | 0.7705 | 0.3852 |
83 | 0.5732 | 0.8537 | 0.4269 |
84 | 0.5374 | 0.9251 | 0.4626 |
85 | 0.5596 | 0.8808 | 0.4404 |
86 | 0.5248 | 0.9505 | 0.4752 |
87 | 0.4971 | 0.9942 | 0.5029 |
88 | 0.4601 | 0.9201 | 0.5399 |
89 | 0.4183 | 0.8365 | 0.5817 |
90 | 0.3842 | 0.7683 | 0.6158 |
91 | 0.3512 | 0.7023 | 0.6489 |
92 | 0.3117 | 0.6235 | 0.6883 |
93 | 0.3627 | 0.7255 | 0.6373 |
94 | 0.3241 | 0.6481 | 0.6759 |
95 | 0.291 | 0.5821 | 0.709 |
96 | 0.2544 | 0.5088 | 0.7456 |
97 | 0.2497 | 0.4993 | 0.7503 |
98 | 0.562 | 0.876 | 0.438 |
99 | 0.5314 | 0.9372 | 0.4686 |
100 | 0.6796 | 0.6408 | 0.3204 |
101 | 0.6443 | 0.7115 | 0.3557 |
102 | 0.6096 | 0.7807 | 0.3904 |
103 | 0.5673 | 0.8655 | 0.4327 |
104 | 0.5334 | 0.9332 | 0.4666 |
105 | 0.6432 | 0.7137 | 0.3568 |
106 | 0.6004 | 0.7992 | 0.3996 |
107 | 0.833 | 0.334 | 0.167 |
108 | 0.8353 | 0.3294 | 0.1647 |
109 | 0.848 | 0.3039 | 0.152 |
110 | 0.8983 | 0.2033 | 0.1017 |
111 | 0.8856 | 0.2289 | 0.1144 |
112 | 0.936 | 0.128 | 0.06401 |
113 | 0.9188 | 0.1624 | 0.08122 |
114 | 0.9183 | 0.1634 | 0.08171 |
115 | 0.9345 | 0.1311 | 0.06555 |
116 | 0.9226 | 0.1549 | 0.07745 |
117 | 0.9262 | 0.1476 | 0.07382 |
118 | 0.9147 | 0.1706 | 0.08532 |
119 | 0.9271 | 0.1457 | 0.07285 |
120 | 0.9256 | 0.1487 | 0.07435 |
121 | 0.9086 | 0.1828 | 0.0914 |
122 | 0.9119 | 0.1762 | 0.08811 |
123 | 0.8883 | 0.2234 | 0.1117 |
124 | 0.8975 | 0.205 | 0.1025 |
125 | 0.8707 | 0.2586 | 0.1293 |
126 | 0.8959 | 0.2082 | 0.1041 |
127 | 0.8697 | 0.2605 | 0.1303 |
128 | 0.9008 | 0.1983 | 0.09918 |
129 | 0.8736 | 0.2529 | 0.1264 |
130 | 0.8955 | 0.2091 | 0.1045 |
131 | 0.9015 | 0.1971 | 0.09853 |
132 | 0.8857 | 0.2287 | 0.1143 |
133 | 0.9445 | 0.111 | 0.05552 |
134 | 0.9302 | 0.1396 | 0.06978 |
135 | 0.9152 | 0.1697 | 0.08483 |
136 | 0.906 | 0.188 | 0.094 |
137 | 0.8839 | 0.2322 | 0.1161 |
138 | 0.8896 | 0.2208 | 0.1104 |
139 | 0.8564 | 0.2872 | 0.1436 |
140 | 0.9571 | 0.08583 | 0.04291 |
141 | 0.9444 | 0.1112 | 0.0556 |
142 | 0.9641 | 0.07179 | 0.0359 |
143 | 0.973 | 0.05398 | 0.02699 |
144 | 0.9792 | 0.04166 | 0.02083 |
145 | 0.9681 | 0.06382 | 0.03191 |
146 | 0.9742 | 0.05162 | 0.02581 |
147 | 0.9694 | 0.0613 | 0.03065 |
148 | 0.9575 | 0.0849 | 0.04245 |
149 | 0.9546 | 0.09072 | 0.04536 |
150 | 0.929 | 0.1419 | 0.07096 |
151 | 0.9763 | 0.04737 | 0.02369 |
152 | 0.9569 | 0.08614 | 0.04307 |
153 | 0.9621 | 0.07577 | 0.03788 |
154 | 0.9995 | 0.0009854 | 0.0004927 |
155 | 0.9992 | 0.001548 | 0.0007738 |
156 | 0.9972 | 0.005673 | 0.002836 |
157 | 0.9906 | 0.01884 | 0.009419 |
158 | 0.9696 | 0.06086 | 0.03043 |
159 | 0.913 | 0.1739 | 0.08697 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 3 | 0.01987 | NOK |
5% type I error level | 6 | 0.0397351 | OK |
10% type I error level | 17 | 0.112583 | NOK |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 0.18509, df1 = 2, df2 = 160, p-value = 0.8312 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 0.16792, df1 = 10, df2 = 152, p-value = 0.9981 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 0.43471, df1 = 2, df2 = 160, p-value = 0.6482 |
Variance Inflation Factors (Multicollinearity) |
> vif TVDC1 TVDC2 TVDC3 TVDC4 1.321014 1.225016 1.299016 1.088054 `ALG4(geslacht)` 1.017991 |