What percentage of the variation in y can be explained by the variation in the values of x?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 17HP
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question 14

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y=31.82x+71.83 and the r=0.13.

What percentage of the variation in y can be explained by the variation in the values of x?
r=___________ % (Report exact answer, and do not enter the % sign)

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