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AP® Human Geography

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Finding the Slope Test Statistic: Height vs Wingspan

APSTAT-1S9356

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 0.945 -2.405 <0.014
Height 1.084 0.24 4.52 <0.0001



Assuming all the conditions for inference are met, which of the following represents the test statistic for testing the null hypothesis that the slope of the population regression line equals $0$?

A

$\cfrac { 1.084 }{ 0.24 } $

B

$\cfrac { 1.084 }{ \cfrac { 0.24 }{ \sqrt { 19 } } } $

C

$\cfrac { -2.273}{ 0.945 } $

D

$\cfrac { -2.273 }{ \cfrac { 0.945 }{ \sqrt { 19 } } } $

E

$\cfrac { -2.273 }{ 1.084 } $