The data on the maximum height (feet) and top speed (mph) of the 12 highest roller coasters, displayed in the chapter opener, are

(a) Use MINITAB or some other software program to determine the proportion of variation in speed due to regression on height.
(b) What top speed is predicted for a new roller coaster of height 425 feet?
(c) What top speed is predicted for a new roller coaster of height 490 feet? What additional danger is there in this prediction?

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