I'm trying to solve the following problem:
I don't quite get how to solve the hypotheses testing part.
Here is how I tried tackling the problem: $$H_0 : x_t = 0 $$ $$H_1 : x_t \ne 0 $$ I then checked my T distribution table and got that: $$\begin{align}&t_L = -1.3304\\&t_U = 1.3304\end{align}$$ Now the problem accures when I try to calculate $t$: $$t = \frac {0-\overline x}{se(x_t )}$$ as I don't know $\overline x$ and $se(x_t)$ I can't calculate it.
I'm thinking of doing the following: $$t = \frac {0-0.38}{0.084} = -4.524$$ But not sure if it would be correct or not. Thank you very much for your help.
(Just to be sure, is x important in determining y due to the fact that they are positively correlated)