Player payroll, x Mean (in $1,000,000 attendance, y (in thousands) ху s) Arizona 87.0 34.81 3028.47 Atlanta 94.5 39.88 3768.66 45+ Chicago Cubs 65.3 34.44 2248.932 40+ Cincinnati 52.6 31.85 1675.31 35+ Colorado 64.8 40.74 2639.952 30+ Florida 30.9 15.06 465.354 Houston 58.3 37.78 2202.574 25+ Los Angeles Milwaukee 105.0 37.16 3901.8 20+ 41.5 19.38 804.27 15+ Montreal New York Mets 39.5 11.48 453.46 10+ 99.8 34.81 3474.038 54 Philadelphia 53.9 19.88 1071.532 Pittsburgh San Diego 36.3 21.60 784.08 20 40 60 80 so 100 120 140 64.1 29.88 1915.308 Figure 1 San Francisco St Louis 59.6 40.99 2443.004 80.7 41.23 3327.261

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 10PPS
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Answer 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.
 
For major league baseball teams, is there a relationship between player payrolls and gate money? Here are data for each of the National 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 are the products of the player payroll values and mean attendance values
for each of the sixteen teams. (These products, written in the column labelled "xy," may aid in calculations.)
Player payrolI, x
Mean
(in $1,000,000 attendance, y
(in thousands)
ху
s)
Arizona
87.0
34.81
3028.47
Atlanta
94.5
39.88
3768.66
45-
Chicago Cubs
65.3
34.44
2248.932
40-
Cincinnati
52.6
31.85
1675.31
35+
Colorado
64.8
40.74
2639.952
30+
Florida
30.9
15.06
465.354
Houston
58.3
37.78
2202.574
25+
Los Angeles
Milwaukee
105.0
37.16
3901.8
20-
41.5
19.38
804.27
15+
Montreal
39.5
11.48
453.46
10+
New York Mets
99.8
34.81
3474.038
Philadelphia
53.9
19.88
1071.532
Pittsburgh
36.3
21.60
784.08
100
20
40
60
80
120
140
San Diego
64.1
29.88
1915.308
Figure 1
San Francisco
59.6
40.99
2443.004
St Louis
80.7
41.23
3327.261
Send data to calculator
Send data to Excel
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 National 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 are the products of the player payroll values and mean attendance values for each of the sixteen teams. (These products, written in the column labelled "xy," may aid in calculations.) Player payrolI, x Mean (in $1,000,000 attendance, y (in thousands) ху s) Arizona 87.0 34.81 3028.47 Atlanta 94.5 39.88 3768.66 45- Chicago Cubs 65.3 34.44 2248.932 40- Cincinnati 52.6 31.85 1675.31 35+ Colorado 64.8 40.74 2639.952 30+ Florida 30.9 15.06 465.354 Houston 58.3 37.78 2202.574 25+ Los Angeles Milwaukee 105.0 37.16 3901.8 20- 41.5 19.38 804.27 15+ Montreal 39.5 11.48 453.46 10+ New York Mets 99.8 34.81 3474.038 Philadelphia 53.9 19.88 1071.532 Pittsburgh 36.3 21.60 784.08 100 20 40 60 80 120 140 San Diego 64.1 29.88 1915.308 Figure 1 San Francisco 59.6 40.99 2443.004 St Louis 80.7 41.23 3327.261 Send data to calculator Send data to Excel
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