Multiple Linear Regression - Estimated Regression Equation |
Score[t] = -257.794 -44.4619Geslacht[t] -4.8654X1[t] -0.217231X2[t] + 3.22869X3[t] -2.92673X4[t] + 163.222X5[t] -24.6204X6[t] + 13.1261Inter[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) | -257.8 | 57.75 | -4.4640e+00 | 0.0009567 | 0.0004784 |
Geslacht | -44.46 | 24.95 | -1.7820e+00 | 0.1023 | 0.05116 |
X1 | -4.865 | 2.155 | -2.2580e+00 | 0.04529 | 0.02264 |
X2 | -0.2172 | 1.849 | -1.1750e-01 | 0.9086 | 0.4543 |
X3 | +3.229 | 2.606 | +1.2390e+00 | 0.2412 | 0.1206 |
X4 | -2.927 | 2.123 | -1.3780e+00 | 0.1955 | 0.09773 |
X5 | +163.2 | 36.71 | +4.4460e+00 | 0.0009849 | 0.0004925 |
X6 | -24.62 | 5.804 | -4.2420e+00 | 0.001384 | 0.0006921 |
Inter | +13.13 | 7.328 | +1.7910e+00 | 0.1008 | 0.05038 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.8474 |
R-squared | 0.7181 |
Adjusted R-squared | 0.5131 |
F-TEST (value) | 3.502 |
F-TEST (DF numerator) | 8 |
F-TEST (DF denominator) | 11 |
p-value | 0.02904 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.502 |
Sum Squared Residuals | 134.9 |
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 | 5.08 | 0.9198 |
2 | 7 | 9.579 | -2.579 |
3 | 2 | 5.29 | -3.29 |
4 | 11 | 8.74 | 2.26 |
5 | 13 | 12.96 | 0.03781 |
6 | 3 | -1.442 | 4.442 |
7 | 17 | 13.6 | 3.398 |
8 | 10 | 8.74 | 1.26 |
9 | 4 | 7.484 | -3.484 |
10 | 12 | 12.33 | -0.3324 |
11 | 7 | 10.25 | -3.253 |
12 | 11 | 11.67 | -0.6666 |
13 | 3 | 1.724 | 1.276 |
14 | 5 | 5.295 | -0.2951 |
15 | 1 | 0.5933 | 0.4067 |
16 | 12 | 9.796 | 2.204 |
17 | 18 | 13.52 | 4.483 |
18 | 8 | 9.089 | -1.089 |
19 | 6 | 6.495 | -0.4945 |
20 | 1 | 6.204 | -5.204 |
Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 19.324, df1 = 2, df2 = 9, p-value = 0.0005533 |
Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = -0.97854, df1 = 16, df2 = -5, p-value = NA |
Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 0.92151, df1 = 2, df2 = 9, p-value = 0.4324 |
Variance Inflation Factors (Multicollinearity) |
> vif Geslacht X1 X2 X3 X4 X5 X6 253.760008 1.590610 1.393797 2.076499 1.672483 317.781701 370.696086 Inter 275.595478 |