housing data : https://drive.google.com/file/d/1eyq1bhaOWRdZHZI4tSh6tEX7rxBvy1-m/view?usp=sharing

Question 3 (20 points) Regression Estimation a. (7 points) Using the synthetic data provided below on median home values (Y ) and towns in New England (X), estimate the regression from question 1, i.e., Yi = BX;+ ci Are the coefficients statistically significant? Do not forget to use factor (x) as opposed to x in your regression! housing=read . table ("https://unh. box.com/shared/static/twmyqbvx0toxhvdvon23c55e5cc3ipe4. csv", header = TRUE, sep=",", dec =".") head (housing) ## Y X ## 1 426419.3 7 ## 2 416306.1 8 ## 3 344116.1 9 *# 4 453613.3 7 ## 5 303323.9 5 ## 6 314420.3 6 b. (13 points) Check the residuals of the model. Are the assumptions satisfied? Why? Why not