Question
For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the American League teams
For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the American League teams for the year2002
. The variablex
denotes the2002
player payroll (in millions of dollars), and the variabley
denotes the mean attendance (in thousands of fans) for the81
home games that year. The data are plotted in the Figure 1 scatter plot. Also given are the products of the player payroll values and mean attendance values for each of the fourteen teams. (These products, written in the column labelled "xy
," may aid in calculations.)Player payroll,x
(in$
1,000,000
s)Mean attendance,y
(in thousands)xyAnaheim62.828.521791.056Baltimore56.533.091869.585Boston110.232.723605.744Chicago White Sox54.520.741130.33Cleveland74.932.352423.015Detroit54.418.521007.488Kansas City49.416.30805.22Minnesota41.323.70978.81New York Yankees133.442.845714.856Oakland41.926.791122.501Seattle86.143.703762.57Tampa Bay34.713.21458.387Texas106.929.013101.169Toronto66.820.251352.7
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Figure1Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.
What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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