Question

Consider a regression analysis, where the correlation coefficient is 0.18. Then, the coefficient of determination is ____.

Answer 1

Consider a regression analysis, where the correlation coefficient is 0.18. Then, the coefficient of determination is 0.0324.

Explanation:

The correlation coefficient r is a numerical measure that gives information about the correlation between two variables. In this case it has a value of 0.18, that tells us there is a weak positive relation between the two variables.

The coefficient of determination r² can be calcualted squaring the value of the correlation coefficient. In this case, the coefficient of determination has a value of:

`r^2=(0.18)^2=0.0324`