Given X= 4Y + 5 and Y = KX + 4 are the lines of %3D regression of X on Y and Y on X respectively. If K is positive, prove that it cannot exceed 14. If K = 1/16, find the means of two variables and the coefficient of correlation between them.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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Given X= 4Y + 5 and Y = KX + 4 are the lines of
regression of X on Y and Y on X respectively. If
K is positive, prove that it cannot exceed 14. If
K = 1/16, find the means of two variables and
%3D
the coefficient of correlation between them.
Transcribed Image Text:Given X= 4Y + 5 and Y = KX + 4 are the lines of regression of X on Y and Y on X respectively. If K is positive, prove that it cannot exceed 14. If K = 1/16, find the means of two variables and %3D the coefficient of correlation between them.
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