12.65 Baseball Stats Does a team's batting average depend in any way on the number of home runs hit by the team? The data in the table show the number of team home runs and the overall team batting average for eight selected major league teams for the 2010 season.

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

b. Is there a significant positive correlation between total home runs and 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 Total Home Runs Team Batting Average Atlanta Braves 139 0.258 Baltimore Orioles 133 0.259 Boston Red Sox 211 0.268 Chicago White Sox 177 0.268 Houston Astros 108 0.247 LA Dodgers 120 0.252 Philadelphia Phillies 166 0.260 Seattle Mariners 101 0.236 Source: ESPN.com