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Finding the LSRL from a Computer Output: Height and Wingspan

APSTAT-6RLKVY

NBA scouts are always interested in the relationship between the height of NBA players and their respective wingspans. An NBA scout randomly selects $20$ players and measures their heights and wingspans. Below is the computer regression analysis of height and wingspan.

Dependent variable: Wingspan
$R^2 = 0.787$
$S = 2.23$
Degrees of Freedom = $18$

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



Write the equation for the least squares regression line.

A

$\widehat { wingspan } =-2.273+1.084\text{ height}$

B

$\widehat { wingspan } =1.084-2.273\text{ height}$

C

$\widehat { height } =1.084-2.273\text{ wingspan}$

D

$\widehat { height } =-2.273+1.084\text{ wingspan}$

E

$\widehat { height } =0.787+2.23\text{ wingspan}$