The following table presents data on the ratings of quarterbacks for the 2004 Na

Question

The following table presents data on the ratings of quarterbacks for the 2004 National Football League season (source:The Sports Network).

Find an estimate of the mean rating (a) if a quarterback averages 7.3 yards per attempt.

What change in the mean rating is associated with a decrease of one yard per attempt (b)?

Player Yards per Attempt Rating points D. Culpepper, MIN 8.61 110.9 D. McNabb, PHI 8.26 104.7 B. Griese, TAM 7.83 97.5 M. Bulger, STL 8.17 93.7 B. Favre, GBP 7.57 92.4 J. Delhomme, CAR 7.29 87.3 K. Warner, NYG 7.42 86.5 M. Hasselbeck, SEA 7.14 83.1 A. Brooks, NOS 7.03 79.5 T. Rattay, SFX 6.67 78.1 M. Vick, ATL 7.21 78.1 J. Harrington, DET 6.23 77.5 V. Testaverde, DAL 7.14 76.4 P. Ramsey, WAS 6.12 74.8 J. McCown, ARI 6.15 74.1 P. Manning, IND 9.17 121.1 D. Brees, SDC 7.9 104.8 B. Roethlisberger, PIT 8.88 98.1 T. Green, KAN 8.26 95.2 T. Brady, NEP 7.79 92.6 C. Pennington, NYJ 7.22 91 B. Volek, TEN 6.96 87.1 J. Plummer, DEN 7.85 84.5 D. Carr, HOU 7.58 83.5 B. Leftwich, JAC 6.67 82.2 C. Palmer, CIN 6.71 77.3 J. Garcia, CLE 6.87 76.7 D. Bledsoe, BUF 6.52 76.6 K. Collins, OAK 6.81 74.8 K. Boller, BAL 5.52 70.9

Explanation / Answer

Regression Equation

Rating points = -5.56 + 12.65 Yards per Attempt

Now,if Yards per Attempt=7.3,

Rating points=-5.56 +(12.65*7.3)=86.7850

b) The mean rating will decrease 12.65 if yard per attempt is decreased one unit.

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