Hitter or Slugger
Jim is not only an accomplished baseball player but he is also a talented mathematics tenth grader. His motivation in analyzing performance first came to fruition when his physics professor explained the optimal way to hit a ball for maximum distance. Since each baseball player is unique in their skills, he wants to find out if he is better suited to be a hitter or a slugger. As a wise mathematician/baseball player will do, he keeps data of each of his batting turns from last season and approximates batting strength and their outcomes: ground hit , home run , or out . He knows that consistent hits require more direction than strength as opposed to home runs, so he builds three data sets. These are graphs and PCC's of the following: strength vs. home runs, strength vs. hits, and strength vs. outs.
If his decision will require only one of these three comparisons to make a choice, which one you think will give him the best measure of his abilities?
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1 solution
Considering Jim already knows (by intuition), home runs require more strength and hits more control (direction). The data set that gives him the best measure of his abilities is strength vs outs. If more strength leads to more outs he should strive to be a hitter, otherwise a slugger.