Answer:
Step-by-step explanation:
a. The equation of the least-squares regression line is:
Number of Wins = 25.66 - 0.003131(Yards Allowed)
where "Number of Wins" represents the number of wins for a team and "Yards Allowed" represents the number of yards allowed by a team.
b. To calculate the residual for the Seattle Seahawks, we first need to use the equation of the least-squares regression line to predict their number of wins:
Number of Wins = 25.66 - 0.003131(4668) = 10.45
The actual number of wins for the Seahawks is 10, so we can calculate the residual as:
Residual = Observed value - Predicted value = 10 - 10.45 = -0.45
Interpretation: The residual for the Seattle Seahawks is -0.45, which means their actual number of wins was 0.45 less than what we would predict based on the regression line.
c. The point representing the Carolina Panthers has an influential effect on the equation of the least-squares regression line because it is an outlier that is far from the other data points. Specifically, the Panthers performed much better than expected based on the number of yards they allowed, which can be seen by the fact that they won 15 games despite allowing 5167 yards. This point pulls the regression line upwards and to the right, which increases the slope of the line and raises the intercept. If the point were removed, the regression line would have a lower slope and a lower intercept, and would fit the remaining data points more closely.