16. Baseball Stats Does a team’s batting average depend in any way on the number of runs scored by the team? The data in the table are the 2017 team batting averages and the number of runs for a sample of 10 MLB teams.

a. Plot the points using a scatterplot. Does it appear that there is any relationship between the number of runs and the team batting average?

b. Is there a significant positive correlation between the number of runs and the team batting average? Test at the 5% level of significance.

c. Do you think that the relationship between these two variables would be different if we had looked at the entire set of major league franchises?

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Team Team Batting Average Number of Runs Atlanta Braves 0.263 732 Boston Red Sox 0.258 785 Cincinnati Reds 0.253 753 Detroit Tigers 0.258 735 Houston Astros 0.282 896 Kansas City Royals 0.259 702 Miami Marlins 0.267 778 Minnesota Twins 0.260 815 Pittsburgh Pirates 0.244 668 Texas Rangers 0.244 799