Question

In: Statistics and Probability

complete a multiple regression and select the best mix of IV to explain game attendance. Once...

complete a multiple regression and select the best mix of IV to explain game attendance. Once you have the best mix of variables, accept or reject the nulls, create the formula for predicting the regression, lower 95% Confidence Interval and upper 95% Confidence Interval

Game Number Game Attendance Team Win/Loss Percentage Opponent Win/Loss Percentage Games Played Temperature
1 14,502 33.3 80 6 47
2 12,459 25 50 4 56
3 15,600 80 66.6 5 55
4 16,780 75 100 8 60
5 14,600 60 80 10 55
6 19,300 100 60 10 49
7 14,603 66.6 25 3 67
8 15,789 50 50 6 55
9 17,800 80 40 10 53
10 19,450 75 100 8 48
11 13,890 20 75 5 65
12 15,097 70 70 10 56
13 17,666 83.3 66.6 6 60
14 12,500 20 20 5 59
15 16,780 80 100 8 46
16 17,543 80 70 10 50
Football Attendance at State University
File: Football.xlsx
Column A: Game Number
Column B: Game Attendance
Column C: Win/Loss Percentage
Column D: Opponent Win/Loss Percentage
Column E: Games Played
Column F: Temperature

Solutions

Expert Solution

The best model is:

0.720
r   0.849
Std. Error   1170.998
n   16
k   1
Dep. Var. Game Attendance
ANOVA table
Source SS   df   MS F p-value
Regression 4,94,56,399.4686 1   4,94,56,399.4686 36.07 3.22E-05
Residual 1,91,97,324.4689 14   13,71,237.4621
Total 6,86,53,723.9375 15  
Regression output confidence interval
variables coefficients std. error    t (df=14) p-value 95% lower 95% upper
Intercept 11,392.0432
Team Win/Loss Percentage 72.2163 12.0249 6.006 3.22E-05 46.4255 98.0071

The regression equation is:

Game Attendance = 11,392.0432 + 72.2163*Team Win/Loss Percentage

lower 95% Confidence Interval = 46.4255

upper 95% Confidence Interval = 98.0071


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