A researcher is interested in the relationship between the numbers of games won by football teams and the number of yards gained rushing by opponents. He collected the performance of the 28 National Football League teams, and analyzed the data. The results are followed:
ANOVA
|
Source
|
SS
|
df
|
MS
|
F
|
Sig.
|
|
Regression
|
178.092
|
1
|
178.092
|
31.10
|
0.000
|
|
Residual
|
148.872
|
26
|
5.726
|
|
|
|
Total
|
326.964
|
27
|
|
|
|
Coefficients
|
b
|
df
|
t
|
Sig.
|
|
Intercept
|
21.788
|
1
|
8.08
|
0.000
|
|
Rushing Yards
|
-0.007
|
1
|
-5.58
|
0.000
|
- Please write down the simple linear regression model relating games won to yards gained rushing by opponents.
- Please interpret the intercept and the slope.
- Please report the significant test result for regression coefficient.
- Is this regression model a good model to explain the linear relationship between the numbers of games won by football teams and the number of yards gained rushing by opponents? Why?