Are college football rankings correlated with the size of athletic department budgets? The table on page 516 lists a sample of athletic department budgets and Associated Press (AP) Top 25 rankings (as of Nov. 21,1999) for a sample of universities.

a. Construct a scattergram for these data. Does it appear that football ranking and athletic department budget are linearly related? Describe the strength of the relationship in words.

b. Answer the question posed at the beginning of the exercise by finding and interpreting the coefficient of correlation for these data.