This exercise requires use of a computer package. Using a statistical computer package,...

This exercise requires use of a computer package. Using a statistical computer package, compare the best one-, two-, three-, and four-predictor models for the data given in Exercise 14.59. Does this variable-selection procedure lead you to the same choice of model as the backward elimination used in Exercise 14.59?

REF PRB:

The accompanying data are from the article “Breeding Success of the Common Puffin on Different Habitats at Great Island, Newfoundland” (Ecology Monographs [1972]: 246– 252). The variables considered are y nesting frequency (burrows per 9 m²), x₁ = grass cover (%), x²= mean soil depth (cm), x₃ = angle of slope (degrees), and x_{4 =} distance from cliff edge (m). Minitab output resulting from application of the backward elimination procedure is also given. Explain what action was taken at each step and why.