I have two regression models:

**Model A:**

569 observations
13 predictors

**Model B:**

569 observations
14 predictors

**Model diagnostics are:**

R^2 value of Model A < R^2 value of Model B

F-statistic of Model A > F-statistic of Model B

*p*-value for Model A > *p*-value of Model B

Residual variance of Model A > Residual variance of Model B

Both models are similarly plausible, physically.

Which model should I pick?