For major league baseball teams, is there a relationship betweer payrolls and gate money? Here are data for each of the National teams for the year 2000. The variable x denotes the 2000 player pay millions of dollars), and the variable y denotes the mean attenda thousands of fans) for the s1 home games that year. The data an in the Figure 1 scatter plot. Also given are the products of the pl payroll values and mean attendance values for each of the sixte teams. (These products, written in the column labelled "xy," may calculations.) %3D
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.
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O REGRESSION AND CORRELATION
Computing the sample.
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 s1 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 payroll, x
(in $1,000,000 attendance, y
s)
Mean
xy
(in thousands)
Arizona
87.0
34.81
3028.47
Atlanta
94,5
39.88
3768.66
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
|Ноuston
58.3
37.78
2202.574
25-
20
Los Angeles
Milwaukee
105.0
37.16
3901.8
41.5
19.38
804,27
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
ISan Diego
36.3
21.60
784.08
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 Excel
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.
Explanation
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