Answer
There is not enough evidence to conclude that there is a linear relation between the first explanatory variable, $x_1$, with the response variable, $y$.
There is enough evidence to conclude that there is a linear relation between the second and the third explanatory variables, $x_2$ and $x_3$, with the response variable, $y$.
Work Step by Step
1) $H_0: β_1=0$ versus $H_1: β_1\ne0$
See the results obtained in item (b)
$t_0=-1.13$ with a P-value $=0.303\gtα$. Do not reject the null hypothesis.
2) $H_0: β_2=0$ versus $H_1: β_2\ne0$
See the results obtained in item (b)
$t_0=-3.20$ with a P-value $=0.019\ltα$. Reject the null hypothesis.
3) $H_0: β_3=0$ versus $H_1: β_3\ne0$
See the results obtained in item (b)
$t_0=2.80$ with a P-value $=0.031\ltα$. Reject the null hypothesis.
