Question

In exercise 24 an estimated regression equation was developed relating the percentage of games won by a team in the national foot ball league for the 2011 season (y) given the average number of passing yards obtained per game on offense (x₁) and the average number of yards given up per game on defense (x₂) The estimated regression equation was y=60.5+.319x₁-.241x₂

Team	OffPassYds/G	DefYds/G	Win%
Arizona	222.9	355.1	50.0
Atlanta	262.0	333.6	62.5
Baltimore	213.9	288.9	75.0
St Louis	179.4	358.4	12.5
Tampa Bay	228.1	394.4	25.0
Tennessee	245.2	355.1	56.3
Washington	235.8	339.8	31.8

a. Predict the percentage of games won for a particular team that averages 225 passing yards per game on offense and gives up an average of 300 yards per game on defense.

b. Develop a 95% confidence interval for the mean percentage off games won for all teams that average 225 passing yards per game on offense and gives up an average of 300 yards per game on defense.

Answer 1