Question

dependent variable is home attendance
r-squared= 28.4%
variable is coefficient
constant= -6760.5
wins= 431.22

a) write a equation of the regression line
b) estimate the average attendance for a team with 50 wins
c) interpret the meaning of the slope of the regression line in this context
d) in general what would a negative residual mean in this context
e) the giants won 92 games and averaged 41,736 fans at their home games. calculate the residual for this team and explain what it means

Answer 1

Answer on Question #55201 – Math – Statistics and Probability

dependent variable is home attendance

r-squared= 28.4%

variable is coefficient

constant= -6760.5

wins= 431.22

a) write a equation of the regression line

b) estimate the average attendance for a team with 50 wins

c) interpret the meaning of the slope of the regression line in this context

d) in general what would a negative residual mean in this context

e) the giants won 92 games and averaged 41,736 fans at their home games. calculate the residual for this team and explain what it means

Solution

a) Attendance = -constant + 431.22(Wins) = -6760.5 + 431.22(Wins)

b) Attendance = -6760.5 + 431.22(50) = 14800.5 This is an extrapolation.

c) For each additional win, the model predicts an increase in attendance of 431.22 people on average.

d) A negative residual means that the team’s actual attendance is lower than the attendance model predicts for a team with as many wins.

e) Attendance = -6760.5 + 431.22(92) = 32911.7

Residual = observed - predicted = 41,736 - 32,911.7 = 8824.3

The large positive residual shows that home attendance for the Giant was much higher than it is predicted according to the regression line for fans.

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