ECON7300: Statistical Project Assignment (Part IIIA), Semester 2, 2022 Instructions for Datasetl part IIIA: Multiple Regression Analysis A researcher took a random sample of 40 professional golfers playing in Brisbane and collected the following information: golfer's average driving distance, gender, and driving accuracy (i.e., percent of drives that land in the fairway). Data for this are saved in Dataset1 part IIIA. The variables saved in Datasetl part IIIA are: accuracy (Y, driving accuracy in percent) . distance (X1, average driving distance in yards) gender (X2, coded 1 if male and 0 if female) The dependent variable for your analysis is accuracy. Answer the following questions using Dataset1 part IIIA. (a) Estimate a regression model using XI and X2 to predict Y (state the multiple regression equation). (b) Interpret the meaning of the slope of Y with X2. (c) What are the estimated values of the intercept when X2 = 0 and X2 = 1? (d) At the 5% level of significance, test whether the intercepts differ by gender. Follow all the necessary steps and use t-test. (e) Estimate a regression model using X1, X2 and an interaction between XI and X2 to predict Y (state the multiple regression equation). (f) Interpret the meaning of the slope Y with the interaction term. (g) At the 5% level of significance, test whether the slope of Y with X1 differs by gender. Follow all the necessary steps and use t-test