Question

if total variation is 100 and explained variation is 50 then r^2 is

Answer 1

r^2 is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression.

The definition of r^2 is fairly straight-forward; it is the percentage of the response variable variation that is explained by a linear model

r^2 = Explained variation / Total variation

=50/100

=0.5

r^2 is always between 0 and 100%:

• 0% indicates that the model explains none of the variability of the response data around its mean.
• 100% indicates that the model explains all the variability of the response data around its mean.

In general, the higher the r^2 the better the model fits your data.