Many factors may affect fans\' decision to go to a ball game. Is it possible tha

Question

Many factors may affect fans' decision to go to a ball game. Is it possible that fans prefer teams with an older pitching staff?

a) Examine a scatterplot of Attend/Game and PitchAge. Check the conditions for regression. Select all that apply.

1)Linerarity Condition is satisfied

2)outlier condition is satisfied

3)quantative data conditions is satisfied

4) None are satisfied

b) Do you think there is a linear association between Attendance and Pitcher Age?

This appears to be a _____ linear association

c) Compute and discuss the regression model:

The regression equation is attendance= __ + (____) x (Pitcher Age)

(Round to the nearest integer as needed.)

What is the value of the test statistic for the slope?

t=___

(Round to three decimal places as needed.)

What is the P-value for the test statistic?

P-Value=___

As pitcher age increases by 1 year, the average attendance tends to _____ by about _____ fans.

(Round to the nearest whole number as needed.)

Attendance Age
6103 25.22
5094 25.08
17941 25.53
25961 27.49
22211 27.17
32760 27.79
28795 27.72
24827 28.4
32501 28.2
27127 28.42
39326 28.82
39424 28.76
33490 30.08
43751 30.87

Explanation / Answer

a) Outlier condition is satisfied as there are some outliers which can be seen by the scatterplot.

b) Even with some outliers, there appears to be a some kind of linear association.

c) attendance = -144184.4 + (6155.8)*(Pitcher Age)

t-value = -6.147 and p-value = 0.000

As pitcher age increase by 1 year, the average attendance tends to increase by 6155.8 fans

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