Professional basketball teams have 11 players per team. Salary is dependent upon their scoring average measured in points per game. A least-squares regression line that describes the relationship between scoring average and salary for one professional basketball team is 9 = 2,671,134.68+684,663.08x, where x is the player's scoring average and y is the player's salary. The residuals for this regression are given in the graph below. Residual $20,000,000 $15,000,000 $10,000,000 $5,000,000 $0 -$5,000,000 -$10,000,000 -$15,000,000 6 10 12 14 Scoring Average (Points per Game) 16 18 a) Is a line an appropriate model to use for these data? What information tells you this? b) What is the value of the slope of the least-squares regression line? Interpret the slope in the context of this problem. c) What is the predicted salary of the basketball player with 10.9 points per game?

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FRQ 2
Professional basketball teams have 11 players per team. Salary is dependent upon their scoring average,
measured in points per game.
A least-squares regression line that describes the relationship between scoring average and salary for
one professional basketball team is ŷ = 2,671,134.68 +684,663.08x, where x is the player's scoring
average and y is the player's salary. The residuals for this regression are given in the graph below.
Residual
$20,000,000
$15,000,000
$10,000,000
$5,000,000
$0
-$5,000,000
-$10,000,000
-$15,000,000
4
ITS
%
6
MacBook Pro
●
8
● ●
●
10
12
14
Scoring Average (Points per Game)
Is a line an appropriate model to use for these data? What information tells you this?
b) What is the value of the slope of the least-squares regression line? Interpret the slope in the
context of this problem.
c) What is the predicted salary of the basketball player with 10.9 points per game?
d) Approximate the actual salary of the basketball player with 10.9 points per game.
16
tv M
18
G
Aa
Transcribed Image Text:FRQ 2 Professional basketball teams have 11 players per team. Salary is dependent upon their scoring average, measured in points per game. A least-squares regression line that describes the relationship between scoring average and salary for one professional basketball team is ŷ = 2,671,134.68 +684,663.08x, where x is the player's scoring average and y is the player's salary. The residuals for this regression are given in the graph below. Residual $20,000,000 $15,000,000 $10,000,000 $5,000,000 $0 -$5,000,000 -$10,000,000 -$15,000,000 4 ITS % 6 MacBook Pro ● 8 ● ● ● 10 12 14 Scoring Average (Points per Game) Is a line an appropriate model to use for these data? What information tells you this? b) What is the value of the slope of the least-squares regression line? Interpret the slope in the context of this problem. c) What is the predicted salary of the basketball player with 10.9 points per game? d) Approximate the actual salary of the basketball player with 10.9 points per game. 16 tv M 18 G Aa
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