CCGPS CA 4.3.3 Example 1

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: 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?
  1. Create a scatter plot of the data.
  2. Analyze the scatter plot, and describe any relationship between the two events.
  3. Determine the correlation coefficient.
  4. Describe the correlation between the two events.
  5. Consider the causal relationship between the two events. Determine if it is likely that height is responsible for the decrease in free throw shooting percentage.
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