Question

A pediatrician wants to determine the relationship that may exist between a child's height and head circumference. She randomly selects eleven 3-year-old children from her practice and measures their heights and head circumferences. According to the data, the linear correlation coefficient between the height and head circumference of a child is 0.918. Compute the coefficient of determination, R^2

(A) 82%
(B) 84.3%
(C) 91.8%
(D) 82.6%

Answer 1

(B) 84.3%

Explanation:

Correlation Coefficient (R) shows the direction and strength of the relationship between two variables. The correlation coefficient lies between -1 to +1.

The square of the correlation coefficient is called the Coefficient of Variation. It is denoted by R².

Here R = 0.918

Thus, R² = 0.843 which is equal to 84.3%