Multiple Linear Regression - Estimated Regression Equation |
BCTsRes[t] = + 98.4748 -0.5105Cito[t] + 0.0795Lot[t] + 0.239076CD[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) | +98.47 | 0.6505 | +1.5140e+02 | 4.368e-52 | 2.184e-52 |
Cito | -0.5105 | 0.2733 | -1.8680e+00 | 0.06991 | 0.03496 |
Lot | +0.0795 | 0.2733 | +2.9090e-01 | 0.7728 | 0.3864 |
CD | +0.2391 | 0.04757 | +5.0260e+00 | 1.389e-05 | 6.947e-06 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.6669 |
R-squared | 0.4447 |
Adjusted R-squared | 0.3984 |
F-TEST (value) | 9.61 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 36 |
p-value | 8.473e-05 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.8642 |
Sum Squared Residuals | 26.89 |
Menu of Residual Diagnostics | |
Description | Link |
Histogram | Compute |
Central Tendency | Compute |
QQ Plot | Compute |
Kernel Density Plot | Compute |
Skewness/Kurtosis Test | Compute |
Skewness-Kurtosis Plot | Compute |
Harrell-Davis Plot | Compute |
Bootstrap Plot -- Central Tendency | Compute |
Blocked Bootstrap Plot -- Central Tendency | Compute |
(Partial) Autocorrelation Plot | Compute |
Spectral Analysis | Compute |
Tukey lambda PPCC Plot | Compute |
Box-Cox Normality Plot | Compute |
Summary Statistics | Compute |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 98.88 | 98.28 | 0.5971 |
2 | 98.79 | 98.52 | 0.268 |
3 | 98.98 | 98.76 | 0.2189 |
4 | 98.52 | 99 | -0.4801 |
5 | 98.79 | 99.24 | -0.4492 |
6 | 100 | 99.48 | 0.5217 |
7 | 99.99 | 99.72 | 0.2726 |
8 | 100 | 99.96 | 0.04356 |
9 | 100 | 100.2 | -0.1955 |
10 | 99.99 | 100.4 | -0.4446 |
11 | 98.67 | 98.36 | 0.3076 |
12 | 97.32 | 98.6 | -1.281 |
13 | 99.52 | 98.84 | 0.6794 |
14 | 98.73 | 99.08 | -0.3496 |
15 | 99.8 | 99.32 | 0.4813 |
16 | 100 | 99.56 | 0.4422 |
17 | 100 | 99.8 | 0.2031 |
18 | 100 | 100 | -0.03594 |
19 | 100 | 100.3 | -0.275 |
20 | 99.99 | 100.5 | -0.5241 |
21 | 99 | 97.77 | 1.228 |
22 | 95.17 | 98.01 | -2.841 |
23 | 97.24 | 98.25 | -1.011 |
24 | 98.61 | 98.49 | 0.1204 |
25 | 98.66 | 98.73 | -0.06871 |
26 | 99.98 | 98.97 | 1.012 |
27 | 99.95 | 99.21 | 0.7431 |
28 | 99.81 | 99.45 | 0.3641 |
29 | 99.84 | 99.69 | 0.155 |
30 | 99.87 | 99.92 | -0.05409 |
31 | 99.26 | 97.85 | 1.408 |
32 | 99.27 | 98.09 | 1.179 |
33 | 96.67 | 98.33 | -1.66 |
34 | 97.87 | 98.57 | -0.6991 |
35 | 97.37 | 98.81 | -1.438 |
36 | 99.84 | 99.05 | 0.7927 |
37 | 99.88 | 99.29 | 0.5936 |
38 | 99.92 | 99.53 | 0.3946 |
39 | 99.81 | 99.76 | 0.04548 |
40 | 99.74 | 100 | -0.2636 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
7 | 0.2536 | 0.5071 | 0.7464 |
8 | 0.1237 | 0.2475 | 0.8763 |
9 | 0.05585 | 0.1117 | 0.9442 |
10 | 0.02599 | 0.05198 | 0.974 |
11 | 0.01012 | 0.02025 | 0.9899 |
12 | 0.03936 | 0.07872 | 0.9606 |
13 | 0.06425 | 0.1285 | 0.9358 |
14 | 0.03475 | 0.06949 | 0.9653 |
15 | 0.02916 | 0.05833 | 0.9708 |
16 | 0.0204 | 0.0408 | 0.9796 |
17 | 0.01095 | 0.02189 | 0.9891 |
18 | 0.005221 | 0.01044 | 0.9948 |
19 | 0.002447 | 0.004893 | 0.9976 |
20 | 0.001208 | 0.002416 | 0.9988 |
21 | 0.001043 | 0.002086 | 0.999 |
22 | 0.3041 | 0.6082 | 0.6959 |
23 | 0.3151 | 0.6302 | 0.6849 |
24 | 0.2791 | 0.5581 | 0.7209 |
25 | 0.2326 | 0.4653 | 0.7674 |
26 | 0.249 | 0.498 | 0.751 |
27 | 0.2067 | 0.4134 | 0.7933 |
28 | 0.1413 | 0.2827 | 0.8587 |
29 | 0.08672 | 0.1734 | 0.9133 |
30 | 0.04822 | 0.09644 | 0.9518 |
31 | 0.08524 | 0.1705 | 0.9148 |
32 | 0.2693 | 0.5386 | 0.7307 |
33 | 0.2824 | 0.5649 | 0.7176 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 3 | 0.1111 | NOK |
5% type I error level | 7 | 0.259259 | NOK |
10% type I error level | 12 | 0.444444 | NOK |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 2.9896, df1 = 2, df2 = 34, p-value = 0.06367 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 1.6308, df1 = 6, df2 = 30, p-value = 0.1731 |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 5.5448, df1 = 2, df2 = 34, p-value = 0.008239 |
Variance Inflation Factors (Multicollinearity) |
> vif Cito Lot CD 1 1 1 |