Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 218 / 5 / a

For a model with $k$ fitted parameters and maximized likelihood $L(\hat{\theta })$, the Akaike information criterion isBackward selection starts with the full model, deletes the single variable giving the smallest AIC when that AIC is lower than the current value, and repeats until no deletion improves it. The first deletion is "indus", which gives AIC $1597.8$.