Alex coaches basketball, and wants to know if there is a relationship between height and free throw shooting percentage. Free throw shooting percentage is the number of free throw shots completed divided by the number of free throw shots attempted:
[math]\,\,\,\,\,\frac{\textsf{free throw shots completed}}{\textsf{free throw shots attempted}}[/math]
He takes some notes on the players in his team, and records his results in the table below. What is the correlation between height and free throw shooting percentage? Alex looks at his data and decides that increased height causes a reduced free throw shooting percentage. Is he correct?