A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (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 results were obtained. Note: You must fill in the 7 blanks in the Analysis of Variance table below. All of the information necessary to complete this problem is given below. You do NOT need the actual data set for this problem.
Predictor Coefficient Std Error
Constant 4.0928 1.4400
X1 10.0230 1.6512
X2 0.1020 0.1225
X3 -4.4811 1.4400
Analysis of Variance
Source of Degrees Sum of Mean
Variation of Freedom Squares Square F_
Regression _________ 360.59 _____ ____
Error _________ 23.91 ______
Total _________ ______
a. Write the regression equation for the above information.
b. Interpret the meaning of the coefficients of X1, X2 and X3.
c. Compute the coefficient of determination and interpret its meaning.
d. Is the variable X1 statistically significant? Use α = 0.05.
e. Is the variable X2 statistically significant? Use α = 0.05.
f. Is the variable X3 statistically significant? Use α = 0.05.
g. Perform an F test to determine whether or not the overall model is statistically significant