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 $1,000,000 s) 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 V 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) 45 40 35 30 Figure 1 5 0 20 60 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.) Player payroll (in $1,000,000s)

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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
$1,000,000 s)
59.2
80.5
97.0
42.3
Cleveland
Detroit
Kansas City
Minnesota
New York Yankees
Oakland
Seattle
Tampa Bay
Texas
Toronto
Send data to calculator
0
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)
45
40
Figure 1
35
30
25
20
15
10
5
0
y
20
40
60
80
Player payroll
(in $1,000,000s)
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
Transcribed Image Text: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 $1,000,000 s) 59.2 80.5 97.0 42.3 Cleveland Detroit Kansas City Minnesota New York Yankees Oakland Seattle Tampa Bay Texas Toronto Send data to calculator 0 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) 45 40 Figure 1 35 30 25 20 15 10 5 0 y 20 40 60 80 Player payroll (in $1,000,000s) 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
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