In: Statistics and Probability
On December 17, 2007 baseball writer John Hickey
wrote an article for the Seattle P-I about increases to
ticket prices for Seattle Mariners games during the 2008 season.
The article included a data set that listed the average ticket
price for each MLB team, the league in which the team plays (AL or
NL), the number of wins during the 2007 season and the cost per win
(in dollars). The data for the 16 National League teams are shown
below.
team | league | price | wins | cost/win |
Arizona Diamondbacks | NL | 19.68 | 90 | 35.40 |
Atlanta Braves | NL | 17.07 | 84 | 32.89 |
Chicago Cubs | NL | 34.30 | 85 | 65.33 |
Cincinnati Reds | NL | 17.90 | 72 | 40.32 |
Colorado Rockies | NL | 14.72 | 90 | 26.67 |
Florida Marlins | NL | 16.70 | 71 | 38.13 |
Houston Astros | NL | 26.66 | 73 | 59.11 |
Los Angeles Dodgers | NL | 20.09 | 82 | 34.64 |
Milwaukee Brewers | NL | 18.11 | 83 | 35.37 |
N.Y. Mets | NL | 25.28 | 88 | 46.56 |
Philadelphia Phillies | NL | 26.73 | 89 | 48.69 |
Pittsburgh Pirates | NL | 17.08 | 68 | 40.67 |
San Diego Padres | NL | 20.83 | 89 | 38.15 |
San Francisco Giants | NL | 24.53 | 71 | 56.00 |
St. Louis Cardinals | NL | 29.78 | 78 | 61.91 |
Washington Nationals | NL | 20.88 | 73 | 46.30 |
Compute the correlation between average 2007 price and
cost per win for these 16 teams. (Assume the correlation
conditions have been satisfied and round your answer to the nearest
0.001.)