Question

use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
r = 0.066

what is the value of the coefficient of determination?
r² = 0.0044 (round to four decimal places as needed.)
what is the percentage of the total variation that can be explained by the linear relationship between the two variables?
explained variation = \boxed{}% (round to two decimal places as needed.)

Explanation:

Step1: Recall the formula for explained variation percentage

The percentage of total variation explained by the linear relationship is the coefficient of determination \( r^2 \) multiplied by 100.

Step2: Use the given \( r^2 \) value

We know \( r^2 = 0.0044 \). To find the percentage, we calculate \( 0.0044\times100 \).
\( 0.0044\times100 = 0.44 \)

Answer:

0.44