The sample correlation between two variables X and Y is calculated to be 0.43. Which statement below is correct? a.The proportion of the variance in Y that is explained by the linear relationship between X and Y is 0.57. b.Since the sample correlation coefficient suggests a moderate positive linear association then there cannot be a nonlinear relationship between X and Y. c.The proportion of the variance in X that is explained by the linear relationship between X and Y is 0.43. d.Even though the sample correlation coefficient suggests a moderate positive linear association it may be the case that there is a nonlinear relationship between X and Y.
The sample correlation between two variables X and Y is calculated to be 0.43. Which statement below is correct? a.The proportion of the variance in Y that is explained by the linear relationship between X and Y is 0.57. b.Since the sample correlation coefficient suggests a moderate positive linear association then there cannot be a nonlinear relationship between X and Y. c.The proportion of the variance in X that is explained by the linear relationship between X and Y is 0.43. d.Even though the sample correlation coefficient suggests a moderate positive linear association it may be the case that there is a nonlinear relationship between X and Y.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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The sample correlation between two variables X and Y is calculated to be 0.43. Which statement below is correct?
a.The proportion of the variance in Y that is explained by the linear relationship between X and Y is 0.57.
b.Since the sample correlation coefficient suggests a moderate positive linear association then there cannot be a nonlinear relationship between X and Y.
c.The proportion of the variance in X that is explained by the linear relationship between X and Y is 0.43.
d.Even though the sample correlation coefficient suggests a moderate positive linear association it may be the case that there is a nonlinear relationship between X and Y.
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