(Data file: Highway) For the highway accident data, use your software to verify the forward selection and backward elimination subsets that are given in. Use as response log(rate × len) and treat lwid...

(Data file: Highway)

For the highway accident data, use your software to verify the forward selection and backward elimination subsets that are given in.

Use as response log(rate × len) and treat lwid as the focal regressor. Use both forward selection and backward elimination to assess the importance of lwid. Summarize your results. 10.2.3 Using the identity log(rate × len) = log(rate) + log(len), we can write

In this last equation, the variable log(len) is on the right side of the equation with an implied known regression coefficient equal to −1. A regressor with a known regression coefficient is called an offset, and most modern regression software allows you to include offsets in fitting a model. The difference between an offset and a regressor is that no coefficient will be estimated for the offset.

but use log(rate) as the response and −log(len) as an offset. Is the analysis the same or different? Explain.