Exercise 6 The file stockton96.gdt contains 940 observations on home sales in Stockton, CA in 1996. a) Use least squares to estimate a linear equation that relates house price PRICE to the size of the house in square feet SQFT and the age of the house in years AGE. Interpret all the estimates. b) Suppose that you own two houses. One has 1400 square feet; the other has 1800 square feet. Both are 20 years old. What price do you estimate you will get for each house? c) Test the hypothesis that the size and the age of the house are important determinants of its price (separately as well as jointly d) Using the Breusch-Pagan test for heteroscedasticity, test whether the model satisfies the homoscedasticity assumption by using the command for the BP test in Gretl. e) Use the White test to test for heteroskedasticity. f) What do you conclude regarding the heteroskedasticity? Does your conclusion depend on the choosing a specific test? Discuss also drawbacks of the BP and White tests. g) Test the hypothesis that the size and the age of the house are important determinants of its price (separately as well as jointly). Hint: choose appropriate standard errors. Does your conclusion differ from part (c)?