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
|
0
|
|
Bennington Bruisers
|
12
|
1
|
|
Atlanta Angels
|
13
|
1
|
|
Trenton Terrors
|
16
|
0
|
|
Virginia Vipers
|
15
|
1
|
|
Charleston Crooners
|
9
|
0
|
|
Harrisburg Heathens
|
8
|
0
|
|
Eaton Energizers
|
12
|
1
|
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?