# Model comparison: better AIC, but worse Mean Actual/Predicted Response

I have made two regression models using gamma regression, and fitted them to 80% of my data, with the intention of doing out-of-sample analysis on the 20%.

Model 2 is just Model 1, with one extra continous variable as regressor. Model 2 shows far better AIC and BIC:

      Model 1   Model 2
AIC   67,710    66,567
BIC   67,875    66,738


The curious thing, in my eyes, is that the Mean Predicted Response is better for Model 2:

                           Model 1   Model 2
Mean Actual Response       233       233
Mean Predicted Response    223       226


Question:

How does on interpret this?

EDIT: I messed up my AIC and BIC.