1. Use the information in P:\P:\Data\MATH\Hartlaub\SportsStats\Payrolls.MPJ and the equation
Avg_Wins = 69.4 + 0.143 Avg_Payroll(millions)
to find the expected numbers of wins and the residuals for the following teams:
a) The Yankees in 2005
b) The Rays in 2008
c) The Marlins in 2006
Remember to divide the payroll by 1000000.
2. Do you think the Fastskin suits are making a difference in swimming performance? Use data in the file P:\Data\MATH\Hartlaub\SportsStats\200 freestyle times.MTW, P:\Data\MATH\Hartlaub\SportsStats\200 METER FREESTYLE WORLD RECORD PROGRESSION.MTW, and P:\Data\MATH\Hartlaub\SportsStats\200M TIMES.MPJ
3. In our presentation we said that the estimated probabilities (P(x) = (sqrt(2/pi)*(R-r))/(sigma*x), where sigma = 0.026 and R-r = 0.10708) were only relevant for distances greater than 5 feet. Examine and display the estimated probabilities for distances of 1 to 5 ft and say why this statement is true.