Statistics: Hypothesis Testing – #29512


Question: Peter 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. Here are the data:

Team Average Number of Wins Over 10 Years Bowl? (1 = yes and 0 = no)
Savannah Sharks 12 1
Pittsburgh Pelicans 11 1
Williamstown Warriors 15 0
Bennington Bruisers 12 0
Atlanta Angels 13 0
Trenton Terrors 16 1
Virginia Vipers 15 1
Charleston Crooners 9 1
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?

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