A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SR = 131,150.78 and SST = 144,854.59. Complete parts (a) through (c). a. Determine the coefficient of determination, r2, and interpret its meaning. r2 =O (Round to four decimal places as needed.) Interpret the meaning of r2. It means that % of the variation in the cost of a meal V be explained by the variation in summated ratings. (Round to two decimal places as needed.) b. Determine the standard error of the estimate. Syx = (Round to four decimal places as needed.) can c. How useful do you think this regression model is for pi fa meal? cannot O A. It is not very useful for predicting the cost of a meal because the coefficient of determination is close to 0 and the standard error of the estimate is fairly large. O B. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1 and the standard error of the estimate is fairly small. O C. It is not very useful for predicting the cost of a meal because although the coefficient of determination is close to 1, the standard error of the estimate is fairly small. D. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1. The standard error of the estimate does not indicate whether a regression model is useful.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 131,150.78 and SST = 144,854.59. Complete parts (a) through (c).
.....
a. Determine the coefficient of determination, r2, and interpret its meaning.
r2 =
(Round to four decimal places as needed.)
Interpret the meaning of r2.
It means that % of the variation in the cost of a meal
v be explained by the variation in summated ratings.
(Round to two decimal places as needed.)
b. Determine the standard error of the estimate.
Syx = (Round to four decimal places as needed.)
%3D
can
c. How useful do you think this regression model is for pi
fa meal?
cannot
A. It is not very useful for predicting the cost of a meal because the coefficient of determination is close to 0 and the standard error of the estimate is fairly large.
B. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1 and the standard error of the estimate is fairly small.
C. It is not very useful for predicting the cost of a meal because although the coefficient of determination is close to 1, the standard error of the estimate is fairly small.
D. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1. The standard error of the estimate does not indicate whether a regression model is useful.
Transcribed Image Text:A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 131,150.78 and SST = 144,854.59. Complete parts (a) through (c). ..... a. Determine the coefficient of determination, r2, and interpret its meaning. r2 = (Round to four decimal places as needed.) Interpret the meaning of r2. It means that % of the variation in the cost of a meal v be explained by the variation in summated ratings. (Round to two decimal places as needed.) b. Determine the standard error of the estimate. Syx = (Round to four decimal places as needed.) %3D can c. How useful do you think this regression model is for pi fa meal? cannot A. It is not very useful for predicting the cost of a meal because the coefficient of determination is close to 0 and the standard error of the estimate is fairly large. B. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1 and the standard error of the estimate is fairly small. C. It is not very useful for predicting the cost of a meal because although the coefficient of determination is close to 1, the standard error of the estimate is fairly small. D. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1. The standard error of the estimate does not indicate whether a regression model is useful.
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