2.39 Change the units. Refer to the previous exercise. Express the price per load in dollars.

  1. (a) Is the transformation from cents to dollars a linear transformation? Explain your answer.

  2. (b) Compute the correlation between rating and price per load expressed in dollars.

  3. (c) How does the correlation that you computed in part (b) compare with the one you computed in the previous exercise?

  4. (d) What can you say in general about the effect of changing units using linear transformations on the size of the correlation?