Answer
There is enough evidence to conclude that there is linear relation between each of the three explanatory variables, $x_1$, $x_2$ 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)
$t_0=-4.98$ with a P-value $=0.003\ltα$. Reject the null hypothesis.
2) $H_0: β_2=0$ versus $H_1: β_2\ne0$
See the results obtained in item (b)
$t_0=4.69$ with a P-value $=0.003\ltα$. Reject the null hypothesis.
3) $H_0: β_3=0$ versus $H_1: β_3\ne0$
See the results obtained in item (b)
$t_0=3.61$ with a P-value $=0.011\ltα$. Reject the null hypothesis.
