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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman