ECON7300: Statistical Project Assignment (Part IIIA), Semester 2, 2022 Instructions for Dataset3 part IIIA: Multiple Regression Analysis Data saved in Dataset3 pan IIIA contain the listed prices, size and a property feature for 28 homes listed by a realtor in Ipswich area. The variables saved in Dataset'i part IIIA are: 0 price (Y, home price in thousands of dollars) 0 hsize (X1, the size of the house in number of square feet) 0 spool (X2, swimming pool, coded 1 if the house doesn't have a swimming pool and 0 if it has a swimming pool) The dependent variable for your analysis is price. Answer the following questions using Datase part IIIA. (8) Estimate a regression model using X1 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 signicance, test whether the intercepts differ by swimming pool. Follow all the necessary steps and use ttest. (e) Estimate a regression model using X1, X2 and an interaction between X1 and X2 to predict Y (state the multiple regression equation). (0 Interpret the meaning of the slope Y with the interaction term. (g) At the 5% level of signicance, test whether the slope of Y with X1 differs by swimming pool. Follow all the necessary steps and use t-testr