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, approximate batting strength and their outcomes; either 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?