<P> where p is the total number of explanatory variables in the model (not including the constant term), and n is the sample size . </P> <P> Adjusted R can also be written as </P> <Dl> <Dd> R _̄ 2 = 1 − S S res / df e S S tot / df t (\ displaystyle (\ bar (R)) ^ (2) = (1 - (SS_ (\ text (res)) / (\ text (df)) _ (e) \ over SS_ (\ text (tot)) / (\ text (df)) _ (t)))) </Dd> </Dl> <Dd> R _̄ 2 = 1 − S S res / df e S S tot / df t (\ displaystyle (\ bar (R)) ^ (2) = (1 - (SS_ (\ text (res)) / (\ text (df)) _ (e) \ over SS_ (\ text (tot)) / (\ text (df)) _ (t)))) </Dd>

The coefficient of determination is the square root of the coefficient of correlation