Question

question 9 of 10 if the r - value, or correlation coefficient, of a data set is 0.926, what is the coefficient of determination to three decimal places? a. 0.957 b. 0.926 c. 0.026 d. 0.857

Explanation:

Step1: Recall the formula

The coefficient of determination $R^{2}$ is the square of the correlation coefficient $r$.

Step2: Calculate $R^{2}$

Given $r = 0.926$, then $R^{2}=r^{2}=(0.926)^{2}= 0.857476$.

Step3: Round the result

Rounding $0.857476$ to three decimal places gives $0.857$.

Answer:

D. 0.857