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.

(a) A researcher wants to determine if the speed with which the ball is hit may be used to predict the distance the ball travels. Based on this research goal, what is the explanatory variable?
(b) Draw a scatter diagram of the data.
(c) Compute the linear correlation coefficient between speed and distance.
(d) Does a linear relation exist between the speed at which a ball is hit and the distance the ball travels?

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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