(Data file: stopping) We reconsider the stopping distance data used in. Using Speed as the only regressor, find an appropriate transformation for Distance that can linearize this regression. Using...

(Data file: stopping) We reconsider the stopping distance data used in.

Using Speed as the only regressor, find an appropriate transformation for Distance that can linearize this regression.

Using Distance as the response, transform the predictor Speed using a power transformation with each λ ∈ {−1, 0, 1}, and show that none of these transformations is adequate.

Show that using λ = 2 does match the data well. This suggests using a quadratic polynomial for regressors, including both Speed and Speed₂.