A magazine collected the ratings for food, decor, service and the cost per person for a sample of 104 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 Yi=−28.781+1.0138Xi, where Xi is the summated ratings and Yi is meal cost. For these data, SYX=8.246, X=61.63, and hi=0.026171 when X=53 A. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 53. B. Construct a 95% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 53.
A magazine collected the ratings for food, decor, service and the cost per person for a sample of 104 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 Yi=−28.781+1.0138Xi, where Xi is the summated ratings and Yi is meal cost. For these data, SYX=8.246, X=61.63, and hi=0.026171 when X=53 A. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 53. B. Construct a 95% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 53.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A magazine collected the ratings for food, decor, service and the cost per person for a sample of
104
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
Yi=−28.781+1.0138Xi,
where
Xi
is the summated ratings and
Yi
is meal cost. For these data,
SYX=8.246,
X=61.63,
and
hi=0.026171
when
X=53
A. Construct a
interval estimate of the mean cost of a meal for restaurants that have a summated rating of
95%
confidence 53.
B. Construct a
95%
prediction interval of the cost of a meal for an individual restaurant that has a summated rating of
53.
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