Question 3 Downlaod the Italian Restaurant data "nyc.cav" from book website. This dataset is explained in the book and it is also often used in the slides. The response Y is the dinner price. The x-variables are food rating (x1), decor rating (22), service rating (23), and the position z4 (it takes the value 1 if the restaurant is on east, 0 otherwise). Suppose the linear model is E[Y | X] = Bo + Bian + Barz + Bars + BAT. (a) What is the overall F-statistic and the corresponding p-value? Also write the degrees of freedom for the F-statistic. (b) What is your conclusion from the overall F test? (c) Your friend thinks only food and decor matters when it comes to restaurant price. How will you perform a test to check if their claim has any statistical significance? Interpret the result of your test. (d) Your friend now suggests that only food matters. Nothing else matters. Perform a test to investigate his claim and report your findings