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Moderate

Regression Slope $t$-Interval Formula Work: Height and Wingspan

APSTAT-LGNTVZ

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

Dependent variable is: Wingspan
$R^2 = 0.787$
$S=2.23$

Variable Coefficient SE(Coeff) t-ratio P-value
Constant -2.273 0.39 -5.83 <0.0001
Height 1.084 0.24 4.51 <0.0001



Assuming all of the conditions have been satisfied, which of the following gives a $95\%$ confidence interval for the slope of the regression line?

A

$-2.273\pm (2.086\cdot 0.39)$

B

$-2.273\pm (2.101\cdot 0.39)$

C

$1.084\pm (1.96\cdot 0.24)$

D

$1.084\pm (2.086\cdot 0.24)$

E

$1.084\pm (2.101\cdot 0.24)$