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Category > Calculus Posted 14 Jun 2019 My Price 5.00

For major league baseball teams

 

For major league baseball teams, do higher player payrolls mean more gate money? Here are data for each of the National League teams in the year 

2000

. The variable 

x

 denotes the player payroll (in millions of dollars) for the year 

2000

, 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, as is the least-squares regression line. The equation for this line is 

=y+10.520.31x

 .

  Player payroll, x
(in $1,000,000s)
Mean attendance, y
(in thousands)
Arizona 87.0 34.81
Atlanta 94.5 39.88
Chicago Cubs 65.3 34.44
Cincinnati 52.6 31.85
Colorado 64.8 40.74
Florida 30.9 15.06
Houston 58.3 37.78
Los Angeles 105.0 37.16
Milwaukee 41.5 19.38
Montreal 39.5 11.48
New York Mets 99.8 34.81
Philadelphia 53.9 19.88
Pittsburgh 36.3 21.60
San Diego 64.1 29.88
San Francisco 59.6 40.99
St Louis 80.7 41.23
  Send data
to Excel
      
 
 
x
20
40
60
80
100
120
140
y
5
10
15
20
25
30
35
40
45
0
 
 
 
 
 Figure 1
 

Answer the following:

 

1. Fill in the blank: For these data, mean attendance values that are greater than the mean of the mean attendance values tend to be paired with player payroll values that are _____ the mean of the player payroll values.
2. Fill in the blank: According to the regression equation, for an increase of one million dollars in player payroll, there is a corresponding _____ of 0.31 thousand fans in mean attendance.
3. What was the observed mean attendance (in thousands of fans) when the player payroll was 36.3 million dollars?

Answers

(118)
Status NEW Posted 14 Jun 2019 10:06 PM My Price 5.00

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