(Data file: Highway) Nonlinear regression can be used to select transformations for a linear regression mean function. As an example, consider the highway accident data, described in with response...

(Data file: Highway) Nonlinear regression can be used to select transformations for a linear regression mean function. As an example, consider the highway accident data, described in with response log(rate) and two predictors X₁
= len and X₂
= adt. Fit the nonlinear mean function

where the scaled power transformations ψS(Xj, λj) are defined at (8.3). Compare the results you get to results obtained using the transformation methodology in Chapter 8.