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Standard Error of Residuals: NBA Height and Wingspan

APSTAT-HZX1IR

NBA scouts are always interested in the relationship between the height of NBA players and their respective wingspans. An NBA scout randomly selects $19$ players and measures their heights and wingspans. Below is the computer regression analysis of height and wingspan.

Dependent variable is wingspan.
$R^2 = 0.787$
$S = 2.23$
Degrees of Freedom = $17$

Variable Coefficient SE(Coeff) t-ratio P-value
Constant -2.273 0.39 -5.83 <0.0001
Height 1.084 0.24 4.52 <0.0001

Which of the following represents the standard error of the residuals?

A

$0.24$

B

$\cfrac { 0.24 }{ \sqrt { 19 } }$

C

$0.39$

D

$\cfrac { 0.39}{ \sqrt { 19 } }$

E

$2.23$