Question

"Find the coefficient of determination given that the correlation coefficient = -.39"

Answer 1

Answer:

$r = -0.39$

And the determination coeffcient is just the correlation coeffcient square and we got:

$R = r^2 = (-0.39)^2 =0.1521$

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case we have

$r = -0.39$

And the determination coeffcient is just the correlation coeffcient square and we got:

$R = r^2 = (-0.39)^2 =0.1521$

And rounded to the nearest tenth thousand would be 0.1521