American football is the highest-paying sport on a per-game basis. Given that the quarterback is considered the most important player on the team, he is typically well-compensated. A sports statistician examines the factors that influence a quarterback’s salary (Salary). He believes that a quarterback’s pass completion rate (PC) is the most important variable affecting Salary. The statistician also wonders how total touchdowns scored (TD) and a quarterback’s age (Age) might impact Salary. The statistician collects 2009 data on Salary, PC, TD, and Age.
Number Player Salary (in Smillion) PC TD age
1 Philip Rivers 25.5566 65.2 28 27
2 Jay Cutler 22.0441 60.5 27 26
3 Eli Manning 20.5000 62.3 27 28
4 Kurt Warner 19.0047 66.1 26 38
5 Matt Schaub 17.0000 67.9 29 28
6 Matt Cassel 15.0052 55 16 27
7 Peyton Manning 14.0057 68.8 33 33
8 Drew Brees 12.9895 70.6 34 30
9 Donovan McNabb 12.5073 60.3 22 33
10 Brett Favre 12.0000 68.4 33 40
11 JaMarcus Russell 11.2554 48.8 3 24
12 Carson Palmer 9.5000 60.5 21 29
13 Joe Flacco 8.6018 63.1 21 24
14 Aaron Rodgers 8.6000 64.7 30 26
15 David Garrard 8.5000 60.9 15 31
16 Tom Brady 8.0073 65.7 28 32
17 Matt Ryan 7.9073 58.3 22 24
18 Ben Roethlisberger 7.7516 66.6 26 27
19 Marc Bulger 6.5073 56.7 5 32
20 Jake Delhomme 6.3250 55.5 8 34
21 Matt Hasselbeclk 6.2562 60 17 34
22 Alex Smith 4.0073 60.5 18 25
23 Matthew Stafford 3.1000 53.3 13 21
24 Ryan Fitzpatrick 2.9956 55.9 9 27
25 Jason Campbell 2.8648 64.5 20 27
26 Mark Sanchez 2.5450 53.8 12 23
27 Vince Young 2.1673 58.7 10 26
28 Brady Quinn 2.0079 53.1 8 25
29 Josh Freeman 1.3800 54.5 10 21
30 Kyle Orton 1.0950 62.1 21 27
31 Chad Henne 0.9503 60.8 12 24
32 Tony Romo 0.6260 63.1 26 29
What is the sample regression equation?