Question

doroteo determined that the correlation coefficient for a set data was -0.9. what percent of the total variation in the y-values is not explained by the regression line?

Answer 1

Answer:

19% of the total variation in the y-values is not explained by the regression line

Step-by-step explanation:

The correlation coefficient, r, is a measure of the degree of association between two variables. It gives information on the direction and strength of the relationship.

On the other hand, $R^{2}$ is the coefficient of determination and is a measure of the percent of the total variation in the y-values explained by the regression line.

$R^{2}$ is simply the square of r;

$R^{2}=r^{2}=(-0.9)^{2}=0.81$

This implies that 81% of the total variation in the y-values is explained by the regression line. Therefore, only 19% is not explained.