The popularity of a websites dedicated to food and cooking depends on the number of people who visit them and consume the content they host. The file Chicken contains data on 40 chicken-based main course recipes posted at one such website, measuring each recipe's popularity by the number of views, the number of times it was saved in users' online recipe books, and the number of ingredients it needs (to determine whether it is easy or complicated).

a. State the multiple regression equation.

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

c. Predict the mean number of times the recipes with 50,000 views and 15 ingredients were saved in users' online recipe books.

d. Construct a \(95 \%\) confidence interval estimate for the mean number of times recipes with 50,000 views and 15 ingredients were saved in users' online recipe books.

e. Construct a 95% confidence interval estimate for the number of times an individual recipe with 8,000 views and 15 ingredients was saved in users' online recipe books.