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 = 20,798 and SST = 29,822. Use this information to complete parts (a) through (c) below. a. Determine the coefficient of determination, , and interpret its meaning 2= (Round to three decimal places as needed.) Interpret the meaning of r. It means that% of the variation in (Round to one decimal place as needed) V can be explained by the variation in b. Determine the standard error of the estimate. Sx (Round to four decimal places as needed.) c. How useful do you think this regression model is for predicting wine quality? O A. It is not very useful for predicting wine quality because the coefficient of determination is close to 0. OB. It is very useful for predicting wine quality because the coefficient of determination is close to 1. OC. t is very useful for predicting wine quality because the coefficient of determination is close to 0. OD. Ris not very useful for predicting wine quality because the coefficient of determination is close to 1.
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 = 20,798 and SST = 29,822. Use this information to complete parts (a) through (c) below. a. Determine the coefficient of determination, , and interpret its meaning 2= (Round to three decimal places as needed.) Interpret the meaning of r. It means that% of the variation in (Round to one decimal place as needed) V can be explained by the variation in b. Determine the standard error of the estimate. Sx (Round to four decimal places as needed.) c. How useful do you think this regression model is for predicting wine quality? O A. It is not very useful for predicting wine quality because the coefficient of determination is close to 0. OB. It is very useful for predicting wine quality because the coefficient of determination is close to 1. OC. t is very useful for predicting wine quality because the coefficient of determination is close to 0. OD. Ris not very useful for predicting wine quality because the coefficient of determination is close to 1.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text: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 = 20,798 and SST = 29,822. Use
this information to complete parts (a) through (c) below.
a. Determine the coefficient of determination, r, and interpret its meaning.
2=O (Round to three decimal places as needed.)
Interpret the meaning of r?
It means that % of the variation in
can be explained by the variation in
(Round to one decimal place 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 wine quality?
O A. It is not very useful for predicting wine quality because the coefficient of determination is close to 0.
O B. It is very useful for predicting wine quality because the coefficient of determination is close to 1.
O C. It is very useful for predicting wine quality because the coefficient of determination is close to 0.
O D. It is not very useful for predicting wine quality because the coefficient of determination is close to 1.
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