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A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = -25.002+1.0004X₁, where X; is summated ratings and Ŷ¡ is meal cost. For these data, Syx = 8.731, X = 62.59, and h; = 0.026985 when X = 54. Complete parts (a) through (c). 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 ≤HY|X=X₁ ≤ 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. 0.004sYx=545 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) S

A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y₁ = -25.002+1.0004X₁, where X; is summated ratings and Ŷ¡ is meal cost. For these data, Syx = 8.731, X = 62.59, and h; = 0.026985 when X = 54. Complete parts (a) through (c). 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 ≤HY|X=X₁ ≤ 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. 0.004sYx=545 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) S

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 50WE
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A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y = -25.002 + 1.0004X;, where X; is t summated ratings and Ỹ; is meal cost. For these data, Syx = 8.731, X = 62.59, and h₁ = 0.026985 when X = 54. Complete parts (a) through (c). 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 ≤HY|X=Xi (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. 0.004 ≤Yx ≤ 31.40 X = 54 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
Transcribed Image Text:A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y = -25.002 + 1.0004X;, where X; is t summated ratings and Ỹ; is meal cost. For these data, Syx = 8.731, X = 62.59, and h₁ = 0.026985 when X = 54. Complete parts (a) through (c). 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 ≤HY|X=Xi (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. 0.004 ≤Yx ≤ 31.40 X = 54 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
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