model choice

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    How to choose between two regression models when one has a higher adjusted R^2 and the other has a lower BIC?

    I have two regression models with different number of covariates/predictors. After performing a subset selection, the remaining two choices are Model 1, which has 7 covariates and a lower BIC. Model 2, which has 11 covariates and a higher adjusted R^2. Using the BIC criteria, you select the...