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 2001. The variable x denotes the 2001 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. Player payroll, x Mean (in $1,000,000 attendance, y (in thousands) s) Anaheim Baltimore 46.6 24.69 45+ 73.4 38.15 Boston 109.6 32.47 40- Chicago White Sox 35+ 62.4 21.85 304 Cleveland 92.0 39.26 Detroit 49.8 25- 23.70 Kansas City 35.6 19.01 20- Minnesota 24.4 21.98 15- New York Yankees 109.8 40.25 10- Oakland 33.8 26.54 5- Seattle 75.7 43.33 Tampa Bay 55.0 16.05 20 40 60 30 100120 140 Texas 88.5 34.94 Figure 1 Toronto 75.8 23.70 Send data to Excel The least-squares regression line for these data has a slope of approximately 0.23. Submit Assignment
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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 2001. The variable x denotes the 2001 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.
Player payroll, x
Mean
(in $1,000,000 attendance, y
(in thousands)
s)
Anaheim
46.6
24.69
Baltimore
73.4
38.15
45+
Boston
109.6
32.47
40+
Chicago White
Sox
35+
62.4
21.85
30-
Cleveland
92.0
39.26
25+
Detroit
49.8
23.70
Kansas City
35.6
19.01
20-
Minnesota
24.4
21.98
15-
New York Yankees
109.8
40.25
10-
Oakland
33.8
26.54
Seattle
75.7
43.33
Tampa Bay
55.0
16.05
20
40
60
80
100
120.
140
Texas
88.5
34.94
Figure 1
Toronto
75.8
23.70
Send data to Excel
The least-squares regression line for these data has a slope of approximately 0.23.
Submit Assignment
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![Send data to Excel
The least-squares regression line for these data has a slope of approximately 0.23.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below.
What is the value of the y-intercept of the least-squares
regression line for these data? Round your answer to at least
two decimal places.
What is the value of the sample correlation coefficient for these
data? Round your answer to at least three decimal places.
Submit Assignment
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