Many variables have an impact on determining the price of a house. A few of these are Size of the house (square feet), Lotsize, and number of Bathrooms. Information for a random sample of homes for sale in the Statesboro, GA, area was obtained from the Internet. Regression output modeling the Asking Price with Square Footage and number of Bathrooms gave the following result:

a) Write the regression equation.
b) How much of the variation in home asking prices is accounted for by the model?
c) Explain in context what the coefficient of Square Footage means.
d) The owner of a construction firm, upon seeing this model, objects because the model says that the number of bathrooms has no effect on the price of the home. He says that when he adds another bathroom, it increases the value. Is it true that the number of bathrooms is unrelated to house price?

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Dependent Variable is: Asking Price s:: 67013 R-Sq;-71.1% R-Sq (adj)# 64.6% Predictor Intercept 152037 85619 Baths Sq ft Analysis of Variance Source Regression 2 99303550067 49651775033 06 0.004 Residual 9 40416679100 4490742122 Total Coeff SE(Coeff t-ratio P-value 1.78 0.110 0.23 0.821 46.67 3.0 0.015 9530 0826 139.87 MS F P-value 11 1.39720E+11