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?