10.57 Predicting the lean in 2016. Refer to the previous two exercises.

  1. (a) How would you code the explanatory variable for the year 2016?

  2. (b) The engineers working on the Leaning Tower of Pisa were most interested in how much the tower would lean if no corrective action was taken. Use the least-squares equation to predict the tower’s lean in the year 2016. (Note: The tower was renovated in 2001 to make sure it does not fall down.)

  3. (c) To give a margin of error for the lean in 2016, would you use a confidence interval for a mean response or a prediction interval? Explain your choice.