In an attempt to develop a model of wine quality as judged by wine​ experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12 ​wines, a model was created using the percentages of alcohol to predict wine quality. For those​ data, SSR=19,812 and SST=30,298. Use this information to complete parts​ (a) through​ (c) below.     a. Determine the coefficient of​ determination, r2​, and interpret its meaning.   r2=enter your response here ​(Round to three decimal places as​ needed.)   Interpret the meaning of r2.   It means that enter your response here​% of the variation in ▼   alcohol content wine quality can be explained by the variation in ▼   alcohol content. wine quality. ​(Round to one decimal place as​ needed.)   b. Determine the standard error of the estimate.   SYX=enter your response here ​(Round to four decimal places as​ needed.)   c. How useful do you think this regression model is for predicting wine​ quality?     A. It is very useful for predicting wine quality because the coefficient of determination is close to 0.   B. It is not very useful for predicting wine quality because the coefficient of determination is close to 1.   C. It is not very useful for predicting wine quality because the coefficient of determination is close to 0.   D. It is very useful for predicting wine quality because the coefficient of determination is close to 1.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In an attempt to develop a model of wine quality as judged by wine​ experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12 ​wines, a model was created using the percentages of alcohol to predict wine quality. For those​ data, SSR=19,812 and SST=30,298.

Use this information to complete parts​ (a) through​ (c) below.

 

 

a. Determine the coefficient of​ determination,
r2​,
and interpret its meaning.
 
r2=enter your response here
​(Round to three decimal places as​ needed.)
 
Interpret the meaning of r2.
 
It means that
enter your response here​%
of the variation in
 
alcohol content
wine quality
can be explained by the variation in
 
alcohol content.
wine quality.
​(Round to one decimal place as​ needed.)
 
b. Determine the standard error of the estimate.
 
SYX=enter your response here
​(Round to four decimal places as​ needed.)
 
c. How useful do you think this regression model is for predicting wine​ quality?
 
 
A.
It is very useful for predicting wine quality because the coefficient of determination is close to 0.
 
B.
It is not very useful for predicting wine quality because the coefficient of determination is close to 1.
 
C.
It is not very useful for predicting wine quality because the coefficient of determination is close to 0.
 
D.
It is very useful for predicting wine quality because the coefficient of determination is close to 1.
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