Chapter 8, Problem 64E

Boyle Scientist Robert Boyle examined the relationship between the volume in which a gas is contained and the pressure in its container. He used a cylindrical container with a moveable top that could be raised or lowered to change the volume. He measured the Height in inches by counting equally spaced marks on the cylinder, and measured the Pressure in inches of mercury (as in a barometer). Here is Boyle’s original table, but you can find the data in the file Boyle. Find a suitable re-expression of Pressure, fit a regression model, and check whether it is appropriate for modeling the relationship between Pressure and Height.