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In exercise 24 an estimated regression equation was developed relating the percentage of games won by...

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.

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