In Problem 12.5 on page 424, you used the summated rating of a restaurant to predict the cost of a meal. The data are stored in Restaurants. Using the results of that problem, b₁ = 1.4963 and Sb₁ = 0.1379.

a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? 

b. Construct a 95% confidence interval estimate of the population slope, b₁.

In Problem 12.5

Zagat’s publishes restaurant ratings for various locations in the United States. The file Restaurants contains the Zagat rating for food, décor, service, and the cost per person for a sample of 100 restaurants located in New York City and in a suburb of New York City. Develop a regression model to predict the cost per person, based on a variable that represents the sum of the ratings for food, décor, and service. Sources: Extracted from Zagat Survey 2013, New York City Restaurants; and Zagat Survey 2012– 2013, Long Island Restaurants.