Multiple Linear Regression - Estimated Regression Equation |
Score[t] = -258.613 -45.4581Geslacht[t] -5.1149X1[t] -0.476887X2[t] + 3.38782X3[t] -3.28597X4[t] + 164.222X5[t] -24.7568X6[t] + 13.378Inter[t] -0.0605754t + 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) | -258.6 | 60.27 | -4.2910e+00 | 0.001583 | 0.0007916 |
Geslacht | -45.46 | 26.18 | -1.7370e+00 | 0.1131 | 0.05655 |
X1 | -5.115 | 2.362 | -2.1650e+00 | 0.0556 | 0.0278 |
X2 | -0.4769 | 2.071 | -2.3020e-01 | 0.8226 | 0.4113 |
X3 | +3.388 | 2.757 | +1.2290e+00 | 0.2472 | 0.1236 |
X4 | -3.286 | 2.449 | -1.3420e+00 | 0.2094 | 0.1047 |
X5 | +164.2 | 38.39 | +4.2780e+00 | 0.001617 | 0.0008085 |
X6 | -24.76 | 6.065 | -4.0820e+00 | 0.002207 | 0.001104 |
Inter | +13.38 | 7.676 | +1.7430e+00 | 0.112 | 0.05598 |
t | -0.06057 | 0.1767 | -3.4280e-01 | 0.7388 | 0.3694 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.8493 |
R-squared | 0.7214 |
Adjusted R-squared | 0.4706 |
F-TEST (value) | 2.876 |
F-TEST (DF numerator) | 9 |
F-TEST (DF denominator) | 10 |
p-value | 0.05761 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.652 |
Sum Squared Residuals | 133.3 |
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 | 6 | 5.563 | 0.4374 |
2 | 7 | 9.833 | -2.833 |
3 | 2 | 5.36 | -3.36 |
4 | 11 | 8.887 | 2.113 |
5 | 13 | 13.35 | -0.3471 |
6 | 3 | -1.17 | 4.17 |
7 | 17 | 13.64 | 3.36 |
8 | 10 | 8.644 | 1.356 |
9 | 4 | 7.659 | -3.659 |
10 | 12 | 12.47 | -0.4692 |
11 | 7 | 10.17 | -3.175 |
12 | 11 | 11.69 | -0.688 |
13 | 3 | 1.715 | 1.285 |
14 | 5 | 5.366 | -0.3657 |
15 | 1 | 0.4684 | 0.5316 |
16 | 12 | 9.462 | 2.538 |
17 | 18 | 13.41 | 4.59 |
18 | 8 | 8.919 | -0.9192 |
19 | 6 | 5.663 | 0.3366 |
20 | 1 | 5.903 | -4.903 |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 20.949, df1 = 2, df2 = 8, p-value = 0.0006607 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = -2.7725, df1 = 18, df2 = -8, p-value = NA |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 0.44581, df1 = 2, df2 = 8, p-value = 0.6553 |
Variance Inflation Factors (Multicollinearity) |
> vif Geslacht X1 X2 X3 X4 X5 X6 256.925944 1.757433 1.608889 2.137092 2.047155 319.624807 372.299138 Inter t 278.145286 1.556942 |