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The value of R square would not decrease when more variables are added to the model. As a result, there is always a temptation to add more variables in the model, because of which problem can arise therefore in that case Adjusted R2 is used as a measure.
Quick Answer. The adjusted r-square is a standardized indicator of r-square, adjusting for the number of predictor variables. This shows the standardized variance of the independent variables on the dependent variable in regression analysis. The adjusted r-square includes the degrees of freedom for the statistical model, which is the total number of variables minus one.