researcher wishes To determine the relationship between the number of Cows(in thousands) in counties in southwestern Pennsylvania and the milk production ( in millions of pounds.) After computing the least squares regression line, it is determined that r^2=0.9972

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A researcher wishes To determine the relationship between the number of Cows(in thousands) in counties in southwestern Pennsylvania and the milk production ( in millions of pounds.) After computing the least squares regression line, it is determined that r^2=0.9972. Which of the following is the correct interpretation of this value? 
Answer Choices:

A.) none of the other answers is a correct interpretation 

B.) About 99.72% of the changes in the number of cows are explained by changes in milk production 

C.) About 99.72% of the change in milk production are explained by changes in the number of cows. 

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