A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR 132,823.98 and SST 140,805.45. Complete parts (a) through (c). C a. Determine the coefficient of determination, . and interpret its meaning. 2-(Round to four decimal places as needed.) Interpret the meaning of. 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 needed.) c. How useful do you think this regression model is for predicting the cost of a meal? or of the estimate does not indicate whether a regression model is useful. O A. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1. The standard OB. 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. OC. 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. OD. It is not very useful for predicting the cost of a meal because although the coefficient determination is close to 1, the standard error of the estimate is fairly smal.
A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR 132,823.98 and SST 140,805.45. Complete parts (a) through (c). C a. Determine the coefficient of determination, . and interpret its meaning. 2-(Round to four decimal places as needed.) Interpret the meaning of. 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 needed.) c. How useful do you think this regression model is for predicting the cost of a meal? or of the estimate does not indicate whether a regression model is useful. O A. It is very useful for predicting the cost of a meal because the coefficient of determination is close to 1. The standard OB. 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. OC. 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. OD. It is not very useful for predicting the cost of a meal because although the coefficient determination is close to 1, the standard error of the estimate is fairly smal.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:A magazine used the summated rating of 10 restaurants to predict the cost of a restaurant meal. For that data, SSR = 132,823.98 and SST = 140,805.45. Complete parts (a) through (c).
...-.
a. Determine the coefficient of determination, r?, and interpret its meaning.
= |(Round to four decimal places as needed.)
Interpret the meaning of r.
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.)
c. How useful do you think this regression model is for predicting the cost of a meal?
O A. 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.
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.
OC. 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 D. 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.
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