Many factors may affect fans' decision to go to a ball game. Is it possible that fans prefer teams with an older pitching staf
f? a) Examine a scatterplot of Attend/Game and PitchAge. Check the conditions for regression. b) Do you think there is a linear association between Attendance and Pitcher Age? c) Compute and discuss the regression model.
2 answers:
Answer:
A) The linearity conditions are satisfied.
b) Yes there is positive linear association because attendance per game increases then pitcher age also increases.
c) The pitcher age increases by 1 year the average attendance tend to increase by about 5511 fans.
Step-by-step explanation:
a)
We have to find scatter plot
First enter all data in excel
Select all data ----------> Click on Insert --------> Scatter ------->Click on first graph
We get( check the first attached for the excel computation)
Conditions.
A) The linearity conditions are satisfied.
b) Yes there is positive linear association because attendance per game increases then pitcher age also increases.
c) y : Dependent variable = attendance per game
x : independent variable = pitchers age
We can solve this question using excel.
First enter data into excel.
Click on Data -------> Data Analysis --------> Regression ------->
Input
Input Y Range : select y values
Input X Range :select values of x.
Output Range : select any empty cell
---------> ok
We get ( check the first attached for the excel computation)
The regression equation is
Attendance = - 124506 +5511 x age
Test statistic for slope is 6.797
P-value for test statistic is 0.0000191
The pitcher age increases by 1 year the average attendance tend to increase by about 5511 fans.
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Answer:
1.
2.
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one: