An Italian food company that operates several restaurants across seven European countries plans to open a second outlet in Paris. As part of the planning phase, the management would like to see how the seating capacity of the restaurant and the variety offered on its menu (number of dishes) affect the staff that would need to be hired in various capacities: waiters, chef, kitchen staff, cleaners, etc. They collect this data for the existing 85 restaurants and store it in the file Restaurant.

a. State the multiple regression equation.

b. Interpret the meaning of the slopes, \(b_{1}\) and \(b_{2}\), in this problem.

c. Explain why the regression coefficient, \(b_{0}\), has no practical meaning in the context of this problem.

d. Predict the mean required staff with 60 dishes and 100 seats.

e. Construct a \(95 \%\) confidence interval estimate for the mean required staff with 60 dishes and 100 seats.

f. Construct a \(95 \%\) confidence interval estimate for the required staff for an individual restaurant with 60 dishes and 100 seats.