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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.
If the modelâs R-squared is 75%, the standard deviation of the errors is exactly one-half of the standard deviation of the dependent variable. Now, suppose that the addition of another variable or two to this model increases R-squared to 76%.