Use the results from Problem 31 in Section 4.1 and Problem 21 in Section 4.2.

Data from in problem 21

(a) What proportion of the variability in distance is explained by the relation between speed at which the ball is hit and distance?
(b) Interpret the coefficient of determination and comment on the adequacy of the linear model.

The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a Major League baseball game.

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Speed (mph) 107.9 110.4 103.5 105.4 105.5 101.7 103.3 101.0 103.6 101.4 100.7 101.3 Distance (feet) 441 427 422 418 414 411 408 405 402 399 396 393