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
|
3.2
|
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?