A magazine collected the ratings for food, decor, service and the cost per person for a sample of 101 restaurants. They combined the ratings to create a summated rating and used that to predict the cost o restaurant meal. The data are modeled by Y, = - 19.028 + 1.2542X,, where X, is the summated ratings and Y, is meal cost. For these data, Syx = 8.395, X = 62.41, and h, = 0.026142 when X = 54. Complete parts (a) through (c).
A magazine collected the ratings for food, decor, service and the cost per person for a sample of 101 restaurants. They combined the ratings to create a summated rating and used that to predict the cost o restaurant meal. The data are modeled by Y, = - 19.028 + 1.2542X,, where X, is the summated ratings and Y, is meal cost. For these data, Syx = 8.395, X = 62.41, and h, = 0.026142 when X = 54. Complete parts (a) through (c).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3CYU
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Transcribed Image Text:A magazine collected the ratings for food, decor, service and the cost per person for a sample of 101
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.
– 19.028 + 1.2542X,, where X, is the summated ratings
and Y, is meal cost. For these data, Syx = 8.395, X = 62.41, and h, = 0.026142 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.
<HYIX=X;
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
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