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; 7.0 – 7.9 should start; 6.0- 6.9 will make the team as backup; and 5.0- 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 25 NFL prospects (USA Today, April 14, 2000)

Weight Time Rating

Cosey Coleman Guard 322 5.38 7.4

Travis Claridge Guard 303 5.18 7.0

Kaulana Noa Guard 317 5.34 6.8

Leander Jordan Guard 330 5.46 6.7

Chad Clifton Guard 334 5.18 6.3

Manula Savea Guard 308 5.32 6.1

Ryan Johanningmeir Guard 310 5.28 6.0

Mark Tauscher Guard 318 5.37 6.0

Blaine Saipaia Guard 321 5.25 6.0

Richard Mercier Guard 295 5.34 5.8

Damion McIntosh Guard 328 5.31 5.3

Jeno James Guard 320 5.64 5.0

Al Jackson Guard 304 5.20 5.0

Develop an estimated regression equation to show how rating is related to weight and time to run 40 yards.

At the .05 level of significance, test whether the estimated regression equation indicates a significant relationship between the independent variables and the dependent variable.

What is the coefficient of determination and interpret its meaning.

Estimate the rating for a guard that weighs 310 lbs. and can run 40 yards in 5.28 seconds.