Multiple Linear Regression - Estimated Regression Equation |
TVDSUM[t] = + 16.2633 -0.299347EP3[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) | +16.26 | 0.5002 | +3.2510e+01 | 2.612e-55 | 1.306e-55 |
EP3 | -0.2994 | 0.177 | -1.6920e+00 | 0.0938 | 0.0469 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.166 |
R-squared | 0.02755 |
Adjusted R-squared | 0.01792 |
F-TEST (value) | 2.862 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 101 |
p-value | 0.0938 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.856 |
Sum Squared Residuals | 347.8 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 13 | 15.07 | -2.066 |
2 | 16 | 15.66 | 0.3354 |
3 | 17 | 15.37 | 1.635 |
4 | 16 | 15.37 | 0.6347 |
5 | 17 | 15.07 | 1.934 |
6 | 17 | 15.66 | 1.335 |
7 | 15 | 15.66 | -0.6646 |
8 | 16 | 15.37 | 0.6347 |
9 | 14 | 15.66 | -1.665 |
10 | 16 | 15.37 | 0.6347 |
11 | 17 | 15.66 | 1.335 |
12 | 16 | 15.66 | 0.3354 |
13 | 16 | 15.96 | 0.03602 |
14 | 16 | 15.66 | 0.3354 |
15 | 15 | 15.37 | -0.3653 |
16 | 16 | 14.77 | 1.233 |
17 | 16 | 15.66 | 0.3354 |
18 | 13 | 14.77 | -1.767 |
19 | 15 | 15.66 | -0.6646 |
20 | 17 | 15.66 | 1.335 |
21 | 13 | 15.96 | -2.964 |
22 | 17 | 15.66 | 1.335 |
23 | 14 | 15.37 | -1.365 |
24 | 14 | 15.66 | -1.665 |
25 | 18 | 15.37 | 2.635 |
26 | 17 | 15.37 | 1.635 |
27 | 13 | 15.07 | -2.066 |
28 | 16 | 15.07 | 0.9341 |
29 | 15 | 15.37 | -0.3653 |
30 | 15 | 15.66 | -0.6646 |
31 | 15 | 15.96 | -0.964 |
32 | 13 | 15.07 | -2.066 |
33 | 17 | 15.37 | 1.635 |
34 | 11 | 15.66 | -4.665 |
35 | 14 | 15.66 | -1.665 |
36 | 13 | 15.37 | -2.365 |
37 | 17 | 15.66 | 1.335 |
38 | 16 | 15.37 | 0.6347 |
39 | 17 | 15.66 | 1.335 |
40 | 16 | 15.66 | 0.3354 |
41 | 16 | 15.07 | 0.9341 |
42 | 16 | 15.07 | 0.9341 |
43 | 15 | 15.37 | -0.3653 |
44 | 12 | 15.07 | -3.066 |
45 | 17 | 15.07 | 1.934 |
46 | 14 | 15.07 | -1.066 |
47 | 14 | 15.07 | -1.066 |
48 | 16 | 14.77 | 1.233 |
49 | 15 | 15.37 | -0.3653 |
50 | 16 | 15.07 | 0.9341 |
51 | 14 | 15.66 | -1.665 |
52 | 15 | 14.77 | 0.2334 |
53 | 17 | 15.96 | 1.036 |
54 | 10 | 15.37 | -5.365 |
55 | 17 | 15.66 | 1.335 |
56 | 20 | 15.66 | 4.335 |
57 | 17 | 15.96 | 1.036 |
58 | 18 | 15.66 | 2.335 |
59 | 17 | 15.66 | 1.335 |
60 | 14 | 15.66 | -1.665 |
61 | 17 | 15.66 | 1.335 |
62 | 17 | 15.96 | 1.036 |
63 | 16 | 15.66 | 0.3354 |
64 | 18 | 15.37 | 2.635 |
65 | 18 | 15.96 | 2.036 |
66 | 16 | 15.66 | 0.3354 |
67 | 15 | 15.66 | -0.6646 |
68 | 13 | 15.66 | -2.665 |
69 | 16 | 15.37 | 0.6347 |
70 | 12 | 15.37 | -3.365 |
71 | 16 | 15.37 | 0.6347 |
72 | 16 | 15.66 | 0.3354 |
73 | 16 | 15.96 | 0.03602 |
74 | 14 | 15.66 | -1.665 |
75 | 15 | 15.07 | -0.06594 |
76 | 14 | 15.37 | -1.365 |
77 | 15 | 15.66 | -0.6646 |
78 | 15 | 15.37 | -0.3653 |
79 | 16 | 15.37 | 0.6347 |
80 | 11 | 15.37 | -4.365 |
81 | 18 | 15.66 | 2.335 |
82 | 11 | 15.96 | -4.964 |
83 | 18 | 15.37 | 2.635 |
84 | 15 | 15.37 | -0.3653 |
85 | 19 | 15.96 | 3.036 |
86 | 17 | 15.96 | 1.036 |
87 | 14 | 15.96 | -1.964 |
88 | 13 | 15.37 | -2.365 |
89 | 17 | 15.66 | 1.335 |
90 | 14 | 15.66 | -1.665 |
91 | 19 | 15.07 | 3.934 |
92 | 14 | 15.66 | -1.665 |
93 | 16 | 15.37 | 0.6347 |
94 | 16 | 15.07 | 0.9341 |
95 | 15 | 15.37 | -0.3653 |
96 | 12 | 15.07 | -3.066 |
97 | 17 | 15.07 | 1.934 |
98 | 18 | 15.96 | 2.036 |
99 | 15 | 15.07 | -0.06594 |
100 | 18 | 15.37 | 2.635 |
101 | 15 | 15.66 | -0.6646 |
102 | 16 | 15.37 | 0.6347 |
103 | 16 | 15.66 | 0.3354 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
5 | 0.5641 | 0.8717 | 0.4359 |
6 | 0.4006 | 0.8012 | 0.5994 |
7 | 0.3527 | 0.7055 | 0.6473 |
8 | 0.2349 | 0.4697 | 0.7651 |
9 | 0.2715 | 0.5431 | 0.7285 |
10 | 0.1855 | 0.3709 | 0.8145 |
11 | 0.1467 | 0.2935 | 0.8533 |
12 | 0.09297 | 0.1859 | 0.907 |
13 | 0.05683 | 0.1137 | 0.9432 |
14 | 0.03316 | 0.06633 | 0.9668 |
15 | 0.02117 | 0.04233 | 0.9788 |
16 | 0.01318 | 0.02635 | 0.9868 |
17 | 0.007077 | 0.01415 | 0.9929 |
18 | 0.01293 | 0.02586 | 0.9871 |
19 | 0.008974 | 0.01795 | 0.991 |
20 | 0.006772 | 0.01354 | 0.9932 |
21 | 0.02996 | 0.05992 | 0.97 |
22 | 0.02527 | 0.05055 | 0.9747 |
23 | 0.02349 | 0.04697 | 0.9765 |
24 | 0.02373 | 0.04747 | 0.9763 |
25 | 0.04095 | 0.0819 | 0.959 |
26 | 0.03726 | 0.07452 | 0.9627 |
27 | 0.05038 | 0.1008 | 0.9496 |
28 | 0.03772 | 0.07544 | 0.9623 |
29 | 0.02643 | 0.05286 | 0.9736 |
30 | 0.01886 | 0.03771 | 0.9811 |
31 | 0.01383 | 0.02766 | 0.9862 |
32 | 0.01807 | 0.03613 | 0.9819 |
33 | 0.01734 | 0.03469 | 0.9827 |
34 | 0.1179 | 0.2358 | 0.8821 |
35 | 0.1092 | 0.2183 | 0.8908 |
36 | 0.128 | 0.256 | 0.872 |
37 | 0.1187 | 0.2374 | 0.8813 |
38 | 0.09492 | 0.1898 | 0.9051 |
39 | 0.08638 | 0.1728 | 0.9136 |
40 | 0.06616 | 0.1323 | 0.9338 |
41 | 0.05278 | 0.1056 | 0.9472 |
42 | 0.04152 | 0.08303 | 0.9585 |
43 | 0.0303 | 0.0606 | 0.9697 |
44 | 0.05595 | 0.1119 | 0.944 |
45 | 0.05795 | 0.1159 | 0.9421 |
46 | 0.04778 | 0.09555 | 0.9522 |
47 | 0.03896 | 0.07792 | 0.961 |
48 | 0.03241 | 0.06481 | 0.9676 |
49 | 0.02346 | 0.04692 | 0.9765 |
50 | 0.0181 | 0.03619 | 0.9819 |
51 | 0.01655 | 0.03311 | 0.9834 |
52 | 0.01154 | 0.02307 | 0.9885 |
53 | 0.009296 | 0.01859 | 0.9907 |
54 | 0.09755 | 0.1951 | 0.9024 |
55 | 0.08726 | 0.1745 | 0.9127 |
56 | 0.2329 | 0.4659 | 0.7671 |
57 | 0.2039 | 0.4078 | 0.7961 |
58 | 0.2259 | 0.4517 | 0.7741 |
59 | 0.2047 | 0.4094 | 0.7953 |
60 | 0.1954 | 0.3909 | 0.8046 |
61 | 0.1759 | 0.3519 | 0.8241 |
62 | 0.1519 | 0.3037 | 0.8481 |
63 | 0.1213 | 0.2425 | 0.8787 |
64 | 0.15 | 0.3 | 0.85 |
65 | 0.1604 | 0.3209 | 0.8396 |
66 | 0.129 | 0.2581 | 0.871 |
67 | 0.1031 | 0.2063 | 0.8969 |
68 | 0.1268 | 0.2537 | 0.8732 |
69 | 0.1012 | 0.2024 | 0.8988 |
70 | 0.1687 | 0.3374 | 0.8313 |
71 | 0.1363 | 0.2725 | 0.8637 |
72 | 0.1068 | 0.2136 | 0.8932 |
73 | 0.08179 | 0.1636 | 0.9182 |
74 | 0.07418 | 0.1484 | 0.9258 |
75 | 0.05493 | 0.1099 | 0.9451 |
76 | 0.04722 | 0.09444 | 0.9528 |
77 | 0.03469 | 0.06937 | 0.9653 |
78 | 0.02455 | 0.0491 | 0.9754 |
79 | 0.01706 | 0.03411 | 0.9829 |
80 | 0.07789 | 0.1558 | 0.9221 |
81 | 0.08711 | 0.1742 | 0.9129 |
82 | 0.3429 | 0.6857 | 0.6571 |
83 | 0.3782 | 0.7564 | 0.6218 |
84 | 0.317 | 0.6339 | 0.683 |
85 | 0.4195 | 0.839 | 0.5805 |
86 | 0.3802 | 0.7604 | 0.6198 |
87 | 0.3651 | 0.7303 | 0.6349 |
88 | 0.4457 | 0.8915 | 0.5543 |
89 | 0.3922 | 0.7844 | 0.6078 |
90 | 0.3908 | 0.7817 | 0.6092 |
91 | 0.6434 | 0.7131 | 0.3566 |
92 | 0.6997 | 0.6006 | 0.3003 |
93 | 0.6011 | 0.7977 | 0.3989 |
94 | 0.522 | 0.9559 | 0.478 |
95 | 0.4191 | 0.8382 | 0.5809 |
96 | 0.7637 | 0.4725 | 0.2363 |
97 | 0.7032 | 0.5937 | 0.2968 |
98 | 0.6394 | 0.7212 | 0.3606 |
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 | 19 | 0.202128 | NOK |
10% type I error level | 33 | 0.351064 | NOK |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 0.052744, df1 = 2, df2 = 99, p-value = 0.9486 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 0.052744, df1 = 2, df2 = 99, p-value = 0.9486 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 0.052744, df1 = 2, df2 = 99, p-value = 0.9486 |