# What is the main difference between Multiple R squared and Adjusted R squared?

How can we use this as a basis to decide the best regression fit model? Not many question posts included the concept of Adjusted R-squared for understanding.

• The Wikipedia article on Coefficients of determination covers $r^2$, $R^2$ as well as the adjusted R squared: $\bar{R}^2$ en.wikipedia.org/wiki/Coefficient_of_determination#Adjusted_R2 – Beyer Oct 20 '16 at 7:20