2. (a) If Z = aX + bY and r is the correlation coefficient between X and Y, show that of a*ož + b'ož + 2abroxoy. (b) Show that the correlation coefficient r between two random variables X and Y is given by 20x0y Where og, dy and oy-y are the standard deviations of X, Y and X - Y, respectively.
2. (a) If Z = aX + bY and r is the correlation coefficient between X and Y, show that of a*ož + b'ož + 2abroxoy. (b) Show that the correlation coefficient r between two random variables X and Y is given by 20x0y Where og, dy and oy-y are the standard deviations of X, Y and X - Y, respectively.
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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