AP2.23 The scatterplot shows the relationship between the number of yards allowed by teams in the National Football League and the number of wins for that team
in a recent season, along with the least-squares regression line. Computer
output is also provided
Term
Constant
Yards_allowed
S = 2.65358
Coef SE Coef
25.66 5.37
-0.003131 0.000948
R-SQ = 26.654
T-Value P-value
4.78 0.000
-3.30
8.002
R-Sq(adj) = 24.214
14
12
Number of Wis
5000 5500 6000
Yards allowed
Starnes & Tabor, The Practice of Statistics, 6, 2018 Bedford,
Freeman & Worth High School Publishers
a. State the equation of the least-squares regression line. Define any variables
you use
b. Calculate and interpret the residual for the Scattle Seahawks, who allowed
4668 yards and won 10 games.
c. The Carolina Panthers allowed 5167 yards and won 15 games. What effect
does the point representing the Panthers have on the equation of the least-
squares regression line? Explain.