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Sports and Leisure
Many factors affect the length of a professional football game. A study was conducted to determine the relationship between the total number of penalty yards (x) and the time required to complete a game (y, in hours). The following data were obtained.
x
196
164
167
35
111
78
150
121
40
y
4.2
4.1
3.5
3.2
3.6
4.0
3.1
1.9
a. Find the estimated regression line, and complete the ANOVA table.
b. Conduct a t test (concerning β1) for a significant regression. Use a significance level of 0.05.
c. What proportion of the observed variation in game length can be explained by this simple linear regression model?
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