Moderate# 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 $\alpha =0.01$ ?