| Multiple Linear Regression - Estimated Regression Equation |
| Numeracy[t] = -201.756 -4.75902Drugs[t] -0.66876Fruit[t] -2.1475Alcohol[t] + 0.0124927Sport[t] + 122.545Gebgewicht[t] -17.4807Gebgew2[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) | -201.8 | 50.62 | -3.9850e+00 | 0.001555 | 0.0007773 |
| Drugs | -4.759 | 2.25 | -2.1160e+00 | 0.05426 | 0.02713 |
| Fruit | -0.6688 | 1.915 | -3.4910e-01 | 0.7326 | 0.3663 |
| Alcohol | -2.147 | 2.166 | -9.9170e-01 | 0.3395 | 0.1697 |
| Sport | +0.01249 | 1.942 | +6.4340e-03 | 0.995 | 0.4975 |
| Gebgewicht | +122.5 | 30.1 | +4.0710e+00 | 0.001323 | 0.0006615 |
| Gebgew2 | -17.48 | 4.4 | -3.9730e+00 | 0.001592 | 0.0007961 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.7973 |
| R-squared | 0.6357 |
| Adjusted R-squared | 0.4675 |
| F-TEST (value) | 3.781 |
| F-TEST (DF numerator) | 6 |
| F-TEST (DF denominator) | 13 |
| p-value | 0.02114 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 3.662 |
| Sum Squared Residuals | 174.3 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 6 | 6.628 | -0.6282 |
| 2 | 7 | 9.463 | -2.463 |
| 3 | 2 | 5.75 | -3.75 |
| 4 | 11 | 10.2 | 0.8016 |
| 5 | 13 | 11.68 | 1.317 |
| 6 | 3 | -3.077 | 6.077 |
| 7 | 17 | 10.05 | 6.946 |
| 8 | 10 | 10.2 | -0.1984 |
| 9 | 4 | 6.737 | -2.737 |
| 10 | 12 | 12.15 | -0.153 |
| 11 | 7 | 10.2 | -3.204 |
| 12 | 11 | 12.35 | -1.346 |
| 13 | 3 | 4.335 | -1.335 |
| 14 | 5 | 6.749 | -1.749 |
| 15 | 1 | 1.303 | -0.3027 |
| 16 | 12 | 10.13 | 1.868 |
| 17 | 18 | 12.86 | 5.142 |
| 18 | 8 | 8.111 | -0.1113 |
| 19 | 6 | 6.851 | -0.8515 |
| 20 | 1 | 4.323 | -3.323 |
