Question

coby analyzes a data set and finds that r = 0.88. what is the coefficient of determination for his data set?

Answer 1

Answer:

$R^{2}=0.7744$

Step-by-step explanation:

r represents the correlation coefficient between two sets of data. It is a measure of the degree of association between the two sets of data and gives insight into the strength and direction of the relationship.

On the other hand, $R^{2}$ is the coefficient of determination for a given data set. It is a measure of the predictive power of a linear model.

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

in this case we are given, r = 0.88. Therefore, $R^{2}=0.88^{2}\\\\R^{2}=0.7744$