Suppose the athletic director at Villanova University would like to develop a regression model to predict the point differential for games played by the college’s men’s basketball team. A point differential is the difference between the final points scored by two competing teams. A positive differential is a win for Villanova, and a negative differential is a loss. For a random sample of home and away games, the point differential was calculated for Villanova, along with the number of assists, rebounds, turnovers, and personal fouls. The data can be found in the Excel file Villanova Basketball 2.xlsx.

a. Using PH_Stat, construct a regression model using all of the independent variables.

b. Test the significance of the overall regression model using α = 0.10.

c. Interpret the meaning of the regression coefficient for the dummy variable.

d. Using the p values, identify which independent variables are significant with α = 0.10.

e. Construct a regression model using only the significant variables found in part d and predict the average point differential for a home game in which Villanova has 8 assists, 37 rebounds, 15 turnovers, and 22 personal fouls.