Zagat Restaurant Guides: What to Expect Based on Ratings

Question:

If a restaurant in the city was given a Zagat rating of 25, what should we expect the cost of dinner to be based on the regression equation?

Answer:

Based on the given regression equation, if a restaurant in the city was given a Zagat rating of 25, we can expect the cost of dinner to be:

(cost of dinner) = 4.909 * (food quality) + 2.313

Plugging in the rating of 25 for food quality:

(cost of dinner) = 4.909 * 25 + 2.313

(cost of dinner) = 122.725 + 2.313

(cost of dinner) ≈ 125.038

Therefore, we should expect the cost of dinner to be approximately $125.04 based on the regression equation. The correct answer is option 2) 125.04.

The Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. In this case, we are given a regression equation that predicts the cost of dinner using the rating of the quality of food for the restaurants in a particular city.

The regression equation is: (cost of dinner) = 4.909 * (food quality) + 2.313. This equation allows us to calculate the expected cost of dinner based on the quality rating given by Zagat.

When a restaurant in the city receives a Zagat rating of 25, we can use the regression equation to estimate the cost of dinner. By substituting 25 for food quality in the equation, we find that the expected cost of dinner is approximately $125.04.