Question

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

Answer 1

`R^(2)=0.7744`

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`