You are interested in buying a house in the Duke Forest neighborhood and one of your friends tells you that the only thing that matters for a house price is the lot size. Run a regression with price as the response/dependent (Y) variable and lot size as the only independent/predictor (X) variable. Please paste the output here: a. According to the coefficients from this regression, what is the equation you would use to predict the price of a home? b. How much of the variation in home price is explained by the variation in lot size, and which value from the output did you use to determine that? c. If a house lot size decreases by 0.5 acres, what will be the change in home price according to this regression?SUMMARY OUTPUT Regression Statistics Multiple R 0.53360912 R Square 0.2847387 Adjusted R Sq 0.27728806 Standard Erro 191.658953 Observations 98 ANOVA of SS MS F Significance F Regression 1 1403819.33 1403819.33 38.2166835 1.5355E-08 Residual 96 3526382.81 36733.1543 Total 97 4930202.14 Coefficients itandard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 244.622068 54.5506102 4.48431407 2.0266E-05 136.339963 352.904174 136.339963 352.904174 lot 551.734059 89.2489871 6.18196437 1.53556-08 374.57622 728.891898 374.57622 728.891898