Question

The following table presents data on the ratings of quarterbacks for the 2008 National Football League season (The Sports Network).

Player		Team	Yards per Attempt	Rating Points
Philip	Rivers	SD	8.39	105.5
Chad	Pennington	MIA	7.67	97.4
Kurt	Warner	ARI	7.66	96.9
Drew	Brees	NO	7.98	96.2
Peyton	Manning	IND	7.21	95.0
Aaron	Rodgers	GB	7.53	93.8
Matt	Schaub	HOU	8.01	92.7
Tony	Romo	DAL	7.66	91.4
Jeff	Garcia	TB	7.21	90.2
Matt	Cassel	NE	7.16	89.4
Matt	Ryan	ATL	7.93	87.7
Shaun	Hill	SF	7.10	87.5
Seneca	Wallace	SEA	6.33	87.0
Eli	Manning	NYG	6.76	86.4
Donovan	McNabb	PHI	6.86	86.4
Jay	Cutler	DEN	7.35	86.0
Trent	Edwards	BUF	7.22	85.4
Jake	Delhomme	CAR	7.94	84.7
Jason	Campbell	WAS	6.41	84.3
David	Garrard	JAC	6.77	81.7
Brett	Favre	NYJ	6.65	81.0
Joe	Flacco	BAL	6.94	80.3
Kerry	Collins	TEN	6.45	80.2
Ben	Roethlisberger	PIT	7.04	80.1
Kyle	Orton	CHI	6.39	79.6
JaMarcus	Russell	OAK	6.58	77.1
Tyler	Thigpen	KC	6.21	76.0
Gus	Freotte	MIN	7.17	73.7
Dan	Orlovsky	DET	6.34	72.6
Marc	Bulger	STL	6.18	71.4
Ryan	Fitzpatrick	CIN	5.12	70.0
Derek	Anderson	CLE	5.71	66.5

It is suspected that the rating (y) is related to the average number of yards gained per pass attempt (x).

(a) Calculate R² for this model. Round your answer to 3 decimal places.

R² =

Answer 1

The statistical software output for this problem is:

Hence,

a) R2 = 0.672