A set of paired data has a least squares regressionline with equation yn = 0.50x + 2.0 and a correlationcoefficient of r = 0.80. Suppose we convert the datafor each variable to z-scores and then compute the newregression line. What will the equation be?A) zˆy = 0.50zx B) zˆy = 0.64zxC) zˆy = 0.80zx D) zˆy = 0.50zx + 20E) zˆy = 0.80zx + 20

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 set of paired data has a least squares regression
line with equation yn = 0.50x + 2.0 and a correlation
coefficient of r = 0.80. Suppose we convert the data
for each variable to z-scores and then compute the new
regression line. What will the equation be?
A) zˆy = 0.50zx B) zˆy = 0.64zx
C) zˆy = 0.80zx D) zˆy = 0.50zx + 20
E) zˆy = 0.80zx + 20

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