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 2006 season.14

Team

Total Home Runs

Team Batting Average

Atlanta Braves

222

.270

Baltimore Orioles

164

.227

Boston Red Sox

192

.269

Chicago White Sox

236

.280

Houston Astros

174

.255

Philadelphia Phillies

216

.267

New York Giants

163

.259

Seattle Mariners

172

.272

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?