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 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.) Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.)   What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places.

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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 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.)

Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.)

 

What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places.
 
 
 
 
Player payroll, x
Mean
(in $1,000,000 attendance, y
ху
(in thousands)
s)
Anaheim
59.2
25.56
1513.152
45+
Baltimore
80.5
40.74
3279.57
Boston
97.0
31.98
3102.06
40+
Chicago White
Sox
35+
42.3
24.07
1018.161
30+
Cleveland
90.5
42.72
3866.16
25+
Detroit
68.6
31.23
2142.378
20+
Kansas City
31.8
20.74
659.532
Minnesota
23.5
13.09
307.615
15+
New York Yankees
114.3
39.88
4558.284
10+
Oakland
43.0
21.36
918.48
Seattle
69.9
38.89
2718.411
20
40
60
80
100
120
140
Tampa Bay
65.2
18.27
1191.204
Техas
72.7
34.57
2513.239
Figure 1
Toronto
66.8
22.47
1500.996
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Transcribed Image Text:Player payroll, x Mean (in $1,000,000 attendance, y ху (in thousands) s) Anaheim 59.2 25.56 1513.152 45+ Baltimore 80.5 40.74 3279.57 Boston 97.0 31.98 3102.06 40+ Chicago White Sox 35+ 42.3 24.07 1018.161 30+ Cleveland 90.5 42.72 3866.16 25+ Detroit 68.6 31.23 2142.378 20+ Kansas City 31.8 20.74 659.532 Minnesota 23.5 13.09 307.615 15+ New York Yankees 114.3 39.88 4558.284 10+ Oakland 43.0 21.36 918.48 Seattle 69.9 38.89 2718.411 20 40 60 80 100 120 140 Tampa Bay 65.2 18.27 1191.204 Техas 72.7 34.57 2513.239 Figure 1 Toronto 66.8 22.47 1500.996 Send data to calculator Send data to Excel
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