Question

If the r-value, or correlation coefficient, of a data set is 0.926, what is the

coefficient of determination to three decimal places?
OA. 0.957
B. 0.926
C. 0.826
D. 0.857​

Answer 1

The correct answer option is D. 0.857

Explanation:

We are given the correlation coefficient, of a data set to be 0.926 and we are to find the coefficient of determination to three decimal places.

To find that, we will use the following formula:

Coefficient of determination =
`r ^ 2`

`r ^ 2` =
`( 0 . 9 2 6 ) ^ 2` = 0.857

Answer 2

D. 0.857

Explanation:

The coefficient of determination, R-squared, is simply the square of the correlation coefficient;

R-squared = r^2

R-squared = 0.926^2

R-squared = 0.857

Therefore, the coefficient of determination is 0.857.