Problem: Predicting batting averages. Go to www.mlb.com/ and find the batting averages for a diverse set of 30 players for both the 2009 and 2010 seasons. You can click on the "Stats" tab to find the results for the current season as well as historical data. You should select only players who played in at least 50 games both seasons. Make a scatterplot of the batting averages using the 2009 season average as the explanatory variable and the 2010 season average as the response. Is it reasonable to fit a straight line to these data? If so, find the least-squares regression line for predicting batting average in 2010 from that in 2009 based on your sample of 30 players. In 2009, the major league leader in batting was Joe Mauer, who had a batting average of .365. What does your least-squares regression line predict for the 2010 batting average of someone who hit .365 in 2009? Is the 2010 predicted batting average higher or lower than .365?