Question C [SD1: 5 Marks]
A multiple regression analysis between yearly income (Y in$1,000s), college grade point average (X1), age of theindividuals (X2), and the gender of the individual(X3; zero representing female and one representing male)was performed on a sample of 10 people, and the following resultswere obtained.
| Coefficients | Standard Error |
Intercept | 4.0928 | 1.4400 |
X1 | 10.0230 | 1.6512 |
X2 | 0.1020 | 0.1225 |
X3 | -4.4811 | 1.4400 |
ANOVA | | | | | |
| DF | SS | MS | F | |
Regression | | 360.59 | | | |
Residual (Error) Required: | | 23.91 | | | |
1- | Interpret the meaning of the coefficient of X3. |
2- | Is the coefficient of X3 significant? Use a =0.05. |
3- | Perform an F test and determine whether or not the model issignificant. |
