A realtor took a sample of 24 house sales and tried to fit a model to the sale prices of the houses as a function of the following variables.
Tax Property taxes in thousands of dollars
Age Age of the house in years
Bed Number of Bedrooms
Bath Number of Bathrooms
Space Living space in thousands of square feet
Lot Lot size in thousands of square feet
The response variable was the sale price of the house in thousands of dollars.
(a) Please specify the theoretical linear model for this data.
(b) Here is a partial ANOVA Table from fitting this model. Find the missing values a, b, c, d, e, f and g.
(c) State the null and alternative hypothesis that the F Value is testing.
(d) Based on the output, please draw conclusion for the above test.
(e) Give an estimate of the error standard deviation ̃.