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Joe Coach was curious to know if the average number of games won in a year predicts Super Bowl performance (win or lose). The x variable was the average number of games won during the past 10 seasons. The y variable was whether the team ever won the Super Bowl during the past 10 seasons. Refer to the following data set:
Team
Average no. of wins over 10 years
Bowl? (1 = yes and 0 = no)
Savannah Sharks
12
1
Pittsburgh Pelicans
11
0
Williamstown Warriors
15
Bennington Bruisers
Atlanta Angels
13
Trenton Terrors
16
Virginia Vipers
Charleston Crooners
9
Harrisburg Heathens
8
Eaton Energizers
a. How would you assess the usefulness of the average number of wins as a predictor of whether a team ever won a Super Bowl?
b. What's the advantage of being able to use a categorical variable (such as 1 or 0) as a dependent variable?
c. What other variables might you use to predict the dependent variable, and why would you choose them?
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