Answer
$t_0\gt t_{\frac{α}{2}}$: null hypothesis is rejected.
There is enough evidence to conclude that a linear relation exists between row choice and GPA.
Work Step by Step
$H_0: β_1=0$ versus $H_1: β\ne0$
$t_0=\frac{b_1}{s_{b_1}}=\frac{-0.1049x}{0.03658}=-2.868$
$n=38$, so:
$d.f.=n-2=36$
$t_{\frac{α}{2}}=t_{0.025}=2.028$
(According to Table VI, for d.f. = 36 and area in right tail = 0.025)
Since $t_0\gt t_{\frac{α}{2}}$, we reject the null hypothesis.
