Zagat s publishes restaurant ratings for various locations in the United
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. Construct a scatter plot. For these data, b0 = 46.7718 and b1 = 1.4963.
b. Assuming a linear relationship, use the least squares method to compute the regression coefficients b0 and b1.
c. Interpret the meaning of the Y intercept, b0, and the slope, b1, in this problem.
d. Predict the mean cost per person for a restaurant with a summated rating of 50.
e. What should you tell the owner of a group of restaurants in this geographical area about the relationship between the summated rating and the cost of a meal?
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