A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the rating create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = = -25.002+1.0004X;, where summated ratings and Ỹ; is meal cost. For these data, Syx = 8.731, X=62.59, and h; = 0.026985 when X = 54. Complete parts (a) through a. Construct a 90% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 54. 26.639 SHY|X=x; $ 31.40 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) b. Construct a 90% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 54. 14.33 ≤Yx=54 ≤ 43.709 (= (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) c. Explain the differences in the results from (a) and (b). Choose the correct answer below.
A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the rating create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = = -25.002+1.0004X;, where summated ratings and Ỹ; is meal cost. For these data, Syx = 8.731, X=62.59, and h; = 0.026985 when X = 54. Complete parts (a) through a. Construct a 90% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 54. 26.639 SHY|X=x; $ 31.40 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) b. Construct a 90% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 54. 14.33 ≤Yx=54 ≤ 43.709 (= (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) c. Explain the differences in the results from (a) and (b). Choose the correct answer below.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section: Chapter Questions
Problem 10PTTS
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