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Instructions for Dataset 6: Multiple Regression Analysis A real estate association in a suburban community would like to study the relationship between the sales volume of a single-family houses and the selling price of the house. The study is to be carried out in two different regions, one on the eastern region of the community and the other on western region of the community. A random sample of 28 houses was selected with the following results given in dataset 6. The variables in the dataset are: . price (Y, in dollars) volume (X1, number of houses sold) region (X2, coded 1 if on the western region of the community and 0 if on the eastern region of the community) The dependent variable for your analysis is price. Answer the following questions using Dataset 6. (a) 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 significance, test whether the intercepts differ by region. Follow all the necessary steps. (e) Estimate a regression model using X1, X2 and an interaction between X1 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 region. Follow all the necessary steps.\f