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 34.30 85 65.33 NL 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 17.08 68 NL 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 number of 2007 wins and cost per win for these 16 teams. (Assume the correlation conditions have been satisfied and round your answer to the nearest 0.001.)

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 34.30 85 65.33 NL 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 17.08 68 NL 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 number of 2007 wins and cost per win for these 16 teams. (Assume the correlation conditions have been satisfied and round your answer to the nearest 0.001.)

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MATLAB: An Introduction with Applications

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

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.
league
price
wins
cost/win
team
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
20.09
82
34.64
NL
Milwaukee Brewers
NL
18.11
83
35.37
N.Y. Mets
NL
25.28
88
46.56
Philadelphia Phillies
26.73
89
48.69
NL
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
20.88
73
46.30
NL
Compute the correlation between number of 2007 wins and cost per win for these 16 teams. (Assume the correlation conditions have been satisfied
and round your answer to the nearest 0.001.)

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