In an attempt to develop a model of wine quality as judged by wine experts, data
ID: 3363450 • Letter: I
Question
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, SSR18,443 and SST=29,453.Use this information to complete parts (a) through (c) below.
a. Determine the coefficient of determination r2 and interpret its meaning.
R2=
It means that (Need Percentage)% of the variation (alcohol content or wine quality) can be explained by the variation in (alcohol content or wine quality)
b. Determine the standard error of the estimate.
Syx=
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 1.
B.It is very useful for predicting wine quality because the coefficient of determination is close to 0.
C.It is not very useful for predicting wine quality because the coefficient of determination is close to 1.
D.It is not very useful for predicting wine quality because the coefficient of determination is close to 0.
Explanation / Answer
a) R2 =SSR/SST =18443/29453 =06262 ~62.62%
It means that 62.62% of the variation (alcohol content or wine quality) can be explained by the variation in (alcohol content or wine quality)
b)from above : SSE =SST-SSR =29453-18443=11010
therefore Syx =(SSE/(n-2))1/2 =33.1813
c)
A.It is very useful for predicting wine quality because the coefficient of determination is close to 1.
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