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

Section: Chapter Questions

Problem 1P

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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, 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