(Data file: lathe) Refer to the lathe data in. Starting with the full second-order model, use the Box–Cox method to show that an appropriate scale for the response is the logarithmic scale. Find the...

(Data file: lathe) Refer to the lathe data in.

Starting with the full second-order model, use the Box–Cox method to show that an appropriate scale for the response is the logarithmic scale.

Find the two cases that are most influential in the fit of the quadratic mean function for log(Life), and explain why they are influential. Delete these points from the data, refit the quadratic mean function, and compare with the fit with all the data.