13.87 Adjusted R2 When we use R2 for a random sample to estimate a population R2, it’s a bit biased. It tends to be a bit too large, especially when n is small. Some software also reports Adjusted R2 = R2 - 5p>[n - 1p + 12]611 - R22, where p = number of predictor variables in the model.

This is slightly smaller than R2 and is less biased.

Suppose R2 = 0.500 for a model with p = 2 predictors.

Calculate adjusted R2 for the following sample sizes: 10, 100, 1000. Show that the difference between adjusted R2 and R2 diminishes as n increases.