= Solution
Under $H_1$, the slope in this through-origin <linear regression> is $1$. Its observed <Wald statistic> is
$$
t=\frac{1.15790-1}{0.08643}=1.83.
$$
The corresponding two-sided <p-value> is about $0.07$, so the fit does not give evidence against $H_1$ at the $5\%$ <significance level>.
The usual least-squares <standard error> assumes constant conditional <variance>. Goal counts are counts, and under the natural <Poisson distribution> model their variance equals their mean $x_i$, so observations with different expected goals are <heteroscedastic>. The reported homoscedastic standard error is therefore doubtful; a heteroscedasticity-robust calculation or a suitable count model would be more credible.
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