Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Zagat restaurant guides publish ratings of restaurants for many large cities aro

ID: 3269624 • Letter: Z

Question

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. Suppose the regression equation that predicts the cost of dinner using the rating of the quality of food for the restaurants in a particular city is (cost of dinner) = 3.767*(food quality) + 2.498. If a restaurant in the city was given a Zagat rating of 26.639 and the average cost of dinner there is $87.949, what is the residual? Question 7 options: 1) 61.31 2) 14.898 3) -61.31 4) -14.898 5) -76.208 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. Suppose the regression equation that predicts the cost of dinner using the rating of the quality of food for the restaurants in a particular city is (cost of dinner) = 3.767*(food quality) + 2.498. If a restaurant in the city was given a Zagat rating of 26.639 and the average cost of dinner there is $87.949, what is the residual? 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. Suppose the regression equation that predicts the cost of dinner using the rating of the quality of food for the restaurants in a particular city is (cost of dinner) = 3.767*(food quality) + 2.498. If a restaurant in the city was given a Zagat rating of 26.639 and the average cost of dinner there is $87.949, what is the residual? 1) 61.31 2) 14.898 3) -61.31 4) -14.898 5) -76.208 1) 61.31 2) 14.898 3) -61.31 4) -14.898 5) -76.208 1) 61.31 2) 14.898 3) -61.31 4) -14.898 5) -76.208

Explanation / Answer

For a food quality rating of 26.639, the predicted cost would be computed as:

(cost of dinner) = 3.767*(food quality) + 2.498

(cost of dinner) = 3.767*26.639 + 2.498 = 102.847113

Now as the actual value given is: $87.949

Therefore the residual value is computed as:

Residual = Observed value - Predicted value

Residual = $87.949 - $102.847113 = -14.898113

Therefore 4) -14.898113 is the correct answer here.