The slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and SDx=4.0, then the correlation coefficient between the two variables is: A. 0.3 B. -0.3 C. 0.8 D. -0.8

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The slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and
SDx=4.0, then the correlation coefficient between the two variables is:
A. 0.3
B. -0.3
C. 0.8
D. -0.8

Expert Solution
Step 1

The regression line Y on X is as follows.

y=a+bx

b is the slope of the regression line.

a is the intercept.

The formula for the slope is as follows.

b=rSDySDx

r is the correlation coefficient.

The slope of the regression line is -0.24

SDy=3.2SDx=4.0

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