Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.78, and the standard deviation for y is 4.32. The regression equation is reported as y= -4.3 +1.89x What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 0 and 1.)

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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Using your favorite statistics software package, you
generate a scatter plot which displays a linear form. You
find a regression equation and the standard deviation for
both variables. The standard deviation for x is 1.78, and the
standard deviation for y is 4.32. The regression equation is
reported as
y= -4.3 +1.89x
What fraction of the variation in y can be explained by the
variation in the values of x? (Enter your answer as a decimal
between 0 and 1.)
Transcribed Image Text:Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.78, and the standard deviation for y is 4.32. The regression equation is reported as y= -4.3 +1.89x What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 0 and 1.)
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