We want to determine whether there is a linear relationship between people’s height as an adult and their height at $10$ years old. Here is some computer output showing results of a least-squares regression analysis for $y$ = adult height and $x$ = height at $10$ years old for a random sample of $11$ males.
Term | Coef | SE Coef | T-Value | P-Value
- | - | - | - | -
Constant | $39.8$ | $16.1$ | $2.48$ | $0.035$
$10$ year height | $0.519$ | $0.289$ | ??? | ???
Assuming that the conditions for inference have been met, which one of the following is closest to the $p$-value for testing the null hypothesis that the slope of the population regression line is $0$ against the alternative hypothesis that the slope is greater than $0$?
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