Multiple Linear Regression - Estimated Regression Equation |
ITHSUM[t] = + 14.7695 + 0.132034TVDCSUM[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) | +14.77 | 1.919 | +7.6970e+00 | 1.117e-11 | 5.585e-12 |
TVDCSUM | +0.132 | 0.1227 | +1.0760e+00 | 0.2845 | 0.1422 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.1081 |
R-squared | 0.01168 |
Adjusted R-squared | 0.001596 |
F-TEST (value) | 1.158 |
F-TEST (DF numerator) | 1 |
F-TEST (DF denominator) | 98 |
p-value | 0.2845 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.278 |
Sum Squared Residuals | 508.7 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 14 | 16.49 | -2.486 |
2 | 19 | 16.88 | 2.118 |
3 | 17 | 17.01 | -0.01409 |
4 | 20 | 16.88 | 3.118 |
5 | 15 | 17.01 | -2.014 |
6 | 19 | 17.01 | 1.986 |
7 | 20 | 16.88 | 3.118 |
8 | 18 | 16.62 | 1.382 |
9 | 15 | 16.88 | -1.882 |
10 | 14 | 17.01 | -3.014 |
11 | 16 | 16.88 | -0.8821 |
12 | 19 | 16.88 | 2.118 |
13 | 18 | 16.88 | 1.118 |
14 | 17 | 16.75 | 0.25 |
15 | 19 | 16.88 | 2.118 |
16 | 17 | 16.88 | 0.1179 |
17 | 19 | 16.75 | 2.25 |
18 | 20 | 17.01 | 2.986 |
19 | 19 | 16.49 | 2.514 |
20 | 16 | 17.01 | -1.014 |
21 | 16 | 16.62 | -0.618 |
22 | 18 | 16.62 | 1.382 |
23 | 16 | 17.15 | -1.146 |
24 | 17 | 17.01 | -0.01409 |
25 | 20 | 16.88 | 3.118 |
26 | 19 | 16.75 | 2.25 |
27 | 7 | 16.75 | -9.75 |
28 | 16 | 16.75 | -0.75 |
29 | 16 | 16.49 | -0.486 |
30 | 18 | 17.01 | 0.9859 |
31 | 17 | 16.22 | 0.7781 |
32 | 19 | 16.62 | 2.382 |
33 | 16 | 16.49 | -0.486 |
34 | 13 | 17.01 | -4.014 |
35 | 16 | 16.88 | -0.8821 |
36 | 12 | 17.01 | -5.014 |
37 | 17 | 16.88 | 0.1179 |
38 | 17 | 16.88 | 0.1179 |
39 | 17 | 16.88 | 0.1179 |
40 | 16 | 16.75 | -0.75 |
41 | 16 | 16.35 | -0.3539 |
42 | 14 | 17.01 | -3.014 |
43 | 16 | 16.62 | -0.618 |
44 | 13 | 16.62 | -3.618 |
45 | 16 | 16.88 | -0.8821 |
46 | 14 | 16.75 | -2.75 |
47 | 19 | 16.88 | 2.118 |
48 | 18 | 16.62 | 1.382 |
49 | 14 | 16.75 | -2.75 |
50 | 18 | 17.01 | 0.9859 |
51 | 15 | 16.09 | -1.09 |
52 | 17 | 17.01 | -0.01409 |
53 | 13 | 17.41 | -4.41 |
54 | 19 | 17.01 | 1.986 |
55 | 18 | 17.15 | 0.8539 |
56 | 15 | 17.01 | -2.014 |
57 | 15 | 16.62 | -1.618 |
58 | 20 | 17.01 | 2.986 |
59 | 19 | 17.01 | 1.986 |
60 | 18 | 16.88 | 1.118 |
61 | 15 | 17.15 | -2.146 |
62 | 20 | 17.15 | 2.854 |
63 | 17 | 16.88 | 0.1179 |
64 | 19 | 16.75 | 2.25 |
65 | 20 | 16.49 | 3.514 |
66 | 18 | 16.88 | 1.118 |
67 | 17 | 16.35 | 0.6461 |
68 | 18 | 16.88 | 1.118 |
69 | 17 | 16.88 | 0.1179 |
70 | 20 | 16.88 | 3.118 |
71 | 16 | 16.62 | -0.618 |
72 | 14 | 16.75 | -2.75 |
73 | 15 | 16.62 | -1.618 |
74 | 20 | 16.75 | 3.25 |
75 | 17 | 16.75 | 0.25 |
76 | 17 | 16.88 | 0.1179 |
77 | 18 | 16.22 | 1.778 |
78 | 20 | 17.15 | 2.854 |
79 | 16 | 16.22 | -0.2219 |
80 | 18 | 17.15 | 0.8539 |
81 | 15 | 16.75 | -1.75 |
82 | 18 | 17.28 | 0.7218 |
83 | 20 | 17.01 | 2.986 |
84 | 14 | 16.62 | -2.618 |
85 | 15 | 16.49 | -1.486 |
86 | 17 | 17.01 | -0.01409 |
87 | 18 | 16.62 | 1.382 |
88 | 20 | 17.28 | 2.722 |
89 | 17 | 16.62 | 0.382 |
90 | 16 | 16.88 | -0.8821 |
91 | 11 | 16.88 | -5.882 |
92 | 15 | 16.75 | -1.75 |
93 | 18 | 16.35 | 1.646 |
94 | 16 | 17.01 | -1.014 |
95 | 18 | 17.15 | 0.8539 |
96 | 15 | 16.75 | -1.75 |
97 | 17 | 17.15 | -0.1461 |
98 | 19 | 16.75 | 2.25 |
99 | 16 | 16.88 | -0.8821 |
100 | 14 | 16.88 | -2.882 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
5 | 0.7444 | 0.5111 | 0.2556 |
6 | 0.6299 | 0.7402 | 0.3701 |
7 | 0.6397 | 0.7207 | 0.3603 |
8 | 0.5621 | 0.8759 | 0.4379 |
9 | 0.5946 | 0.8108 | 0.4054 |
10 | 0.7209 | 0.5581 | 0.2791 |
11 | 0.6469 | 0.7062 | 0.3531 |
12 | 0.6142 | 0.7716 | 0.3858 |
13 | 0.5332 | 0.9336 | 0.4668 |
14 | 0.442 | 0.8839 | 0.558 |
15 | 0.4068 | 0.8135 | 0.5932 |
16 | 0.3271 | 0.6543 | 0.6729 |
17 | 0.3066 | 0.6132 | 0.6934 |
18 | 0.3177 | 0.6354 | 0.6823 |
19 | 0.3072 | 0.6144 | 0.6928 |
20 | 0.2734 | 0.5468 | 0.7266 |
21 | 0.2345 | 0.469 | 0.7655 |
22 | 0.1883 | 0.3767 | 0.8117 |
23 | 0.1613 | 0.3225 | 0.8387 |
24 | 0.1216 | 0.2432 | 0.8784 |
25 | 0.1433 | 0.2867 | 0.8567 |
26 | 0.1279 | 0.2558 | 0.8721 |
27 | 0.9711 | 0.05781 | 0.0289 |
28 | 0.9609 | 0.07816 | 0.03908 |
29 | 0.9467 | 0.1067 | 0.05333 |
30 | 0.9301 | 0.1397 | 0.06987 |
31 | 0.9093 | 0.1815 | 0.09074 |
32 | 0.9068 | 0.1865 | 0.09324 |
33 | 0.8812 | 0.2376 | 0.1188 |
34 | 0.9316 | 0.1367 | 0.06837 |
35 | 0.9132 | 0.1735 | 0.08677 |
36 | 0.97 | 0.0601 | 0.03005 |
37 | 0.9583 | 0.08333 | 0.04167 |
38 | 0.9434 | 0.1133 | 0.05663 |
39 | 0.9245 | 0.1509 | 0.07547 |
40 | 0.9042 | 0.1916 | 0.09582 |
41 | 0.879 | 0.2421 | 0.121 |
42 | 0.8959 | 0.2081 | 0.1041 |
43 | 0.8697 | 0.2605 | 0.1303 |
44 | 0.9106 | 0.1789 | 0.08944 |
45 | 0.8886 | 0.2228 | 0.1114 |
46 | 0.9003 | 0.1995 | 0.09975 |
47 | 0.8968 | 0.2064 | 0.1032 |
48 | 0.8786 | 0.2428 | 0.1214 |
49 | 0.8917 | 0.2166 | 0.1083 |
50 | 0.8685 | 0.263 | 0.1315 |
51 | 0.8444 | 0.3112 | 0.1556 |
52 | 0.8073 | 0.3855 | 0.1927 |
53 | 0.9024 | 0.1951 | 0.09757 |
54 | 0.8956 | 0.2089 | 0.1044 |
55 | 0.8709 | 0.2582 | 0.1291 |
56 | 0.8691 | 0.2619 | 0.1309 |
57 | 0.8548 | 0.2904 | 0.1452 |
58 | 0.8743 | 0.2514 | 0.1257 |
59 | 0.8642 | 0.2716 | 0.1358 |
60 | 0.8365 | 0.3271 | 0.1635 |
61 | 0.8409 | 0.3182 | 0.1591 |
62 | 0.8548 | 0.2904 | 0.1452 |
63 | 0.8173 | 0.3654 | 0.1827 |
64 | 0.8141 | 0.3717 | 0.1859 |
65 | 0.8718 | 0.2564 | 0.1282 |
66 | 0.8444 | 0.3112 | 0.1556 |
67 | 0.8116 | 0.3769 | 0.1884 |
68 | 0.7767 | 0.4465 | 0.2233 |
69 | 0.7261 | 0.5479 | 0.2739 |
70 | 0.7741 | 0.4519 | 0.2259 |
71 | 0.7241 | 0.5518 | 0.2759 |
72 | 0.7459 | 0.5082 | 0.2541 |
73 | 0.7154 | 0.5691 | 0.2846 |
74 | 0.7804 | 0.4392 | 0.2196 |
75 | 0.7274 | 0.5453 | 0.2726 |
76 | 0.6664 | 0.6672 | 0.3336 |
77 | 0.6843 | 0.6315 | 0.3157 |
78 | 0.7151 | 0.5699 | 0.2849 |
79 | 0.6631 | 0.6739 | 0.3369 |
80 | 0.6003 | 0.7994 | 0.3997 |
81 | 0.5513 | 0.8975 | 0.4487 |
82 | 0.4777 | 0.9553 | 0.5223 |
83 | 0.5569 | 0.8861 | 0.4431 |
84 | 0.5446 | 0.9107 | 0.4554 |
85 | 0.4797 | 0.9594 | 0.5203 |
86 | 0.3962 | 0.7923 | 0.6038 |
87 | 0.3611 | 0.7222 | 0.6389 |
88 | 0.4957 | 0.9915 | 0.5043 |
89 | 0.4081 | 0.8162 | 0.5919 |
90 | 0.3135 | 0.6269 | 0.6865 |
91 | 0.7706 | 0.4588 | 0.2294 |
92 | 0.7301 | 0.5397 | 0.2698 |
93 | 0.6771 | 0.6459 | 0.3229 |
94 | 0.5442 | 0.9116 | 0.4558 |
95 | 0.4277 | 0.8554 | 0.5723 |
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 | 0 | 0 | OK |
10% type I error level | 4 | 0.043956 | OK |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 0.42125, df1 = 2, df2 = 96, p-value = 0.6574 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 0.42125, df1 = 2, df2 = 96, p-value = 0.6574 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 0.42125, df1 = 2, df2 = 96, p-value = 0.6574 |