# Question

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.

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.

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