Question: The National Football League rates prospects by position on a scale that ranges from 5 to 9. The ratings are interpreted as follows, 8-9 should start the first year, 7-7.9 should start, 6-6.9 will make the team as a back up and 5-5.9 can make the club and contribute. The following table shows the position, weight, time in seconds to run 40 yards and ratings for 40 NFL prospects (USA today, april 14, 2000)

a. Develop a dummy variables that will account for the players position.

b. Develop an estimated regression equation to show how ratings is related to the position, weight and time to run 40 yards.

c. At the .05 level of significance, test whether the estimated regression equation developed in part (b)

represents a significant relationship between the independent variables and the dependent variables.

d. Is position a significant factor in the players rating? Use a= .05 Explain