Is the number of games won by a major league baseball team in a season related to the team's batting average? The information in the table, extracted from Sports Illustrated and Sporting News, shows the number of games won and the batting average for the 14 teams in the American League for the 1998 season.
a. If you were to model the relationship between the mean (or expected) number of games won by a major league team and the team's batting average, x, using a straight line, would you expect the slope of the line to be positive or negative? Explain.
b. Construct a scattergram of the data. Does the pattern revealed by the scattergram agree with your-answer in part a?
c. An SPSS printout of the simple linear regression is provided below. Find the estimates of the>% on the printout and write the equation of the least squares line.
d. Graph the least squares line on the scattergram. Does the least squares line seem to fit the poi& on the scattergram?
e. Does the mean (or expected) number of games won appear to be strongly related to a team's batting average? Explain.
f. Interpret the values of 
and 
in the words of the problem
