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 year 2000. The variable x denotes the 2000 player payroll (in millions of dollars),
and the variable y denotes the mean attendance (in thousands of fans) for the 81 home games that year. The data are
plotted in the Figure 1 scatter plot. Also given is the product of the player payroll and the mean attendance for each of the
fourteen teams. (These products, written in the column labelled "xy", may aid in calculations.)
Anaheim
Baltimore
Boston
Chicago White
Sox
Player
payroll, x
(in
$1,000,000s)
Cleveland
Detroit
Kansas City
Minnesota
New York Yankees
Oakland
Seattle
Tampa Bay
Texas
Toronto
Send data to calculator
0
59.2
80.5
97.0
42.3
90.5
68.6
31.8
23.5
114.3
43.0
69.9
65.2
72.7
66.8
Mean
attendance, y
(in
thousands)
25.56
40.74
31.98
24.07
42.72
31.23
20.74
13.09
39.88
21.36
38.89
18.27
34.57
22.47
xy
X
1513.152
3279.57
3102.06
1018.161
3866.16
2142.378
659.532
307.615
4558.284
918.48
2718.411
1191.204
2513.239
1500.996
Mean attendance
(in thousands)
Figure 1
45
40
35
10
5
0
20
40
60
X
80 100
Player payroll
(in $1,000,000s)
120
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal
places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
140