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# Linear Regression Slope T-test: NBA Players Height vs Wingspan

APSTAT-4IBMJX

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 the conditions for inference are met, is there evidence of a linear association between height and wingspan of NBA players at the significance level $\alpha =0.01$ ?

A

No, since the $P$-value of $0.014$ is greater than the $0.01$ significance level, there is insufficient evidence of a linear association between height and wingspan of NBA players.

B

Yes, since the $P$-value of $0.014$ is greater than the $0.01$ significance level, there is sufficient evidence of a linear association between height and wingspan of NBA players.

C

No, since the $P$-value of approximately $0$ is less than the $0.01$ significance level, there is insufficient evidence of a linear association between height and wingspan of NBA players.

D

Yes, since the $P$-value of approximately $0$ is less than the $0.01$ significance level, there is sufficient evidence of a positive linear association between height and wingspan of NBA players.

E

Yes, since the $P$-value of approximately $0$ is less than the $0.01$ significance level, there is sufficient evidence of a negative linear association between height and wingspan of NBA players.