Refer to the definitions of AIC, AICc, and BIC in Section 5.1.2. Construct a plot comparing the penalty coefficients (k) against p for the three criteria with n = 10 and p = 1, 2, . . . , n/2. Considering that a larger penalty coefficient causes an information criterion to prefer a smaller model, what do these results imply for models selected by these three criteria? Repeat for n = 100 and n = 1000. Do the conclusions change?