I. Constructing a 95% confidence interval for $$\beta$$ involves using the formula $$b \pm t^{*}\times s_b$$, where $$t^{*}$$ is the critical t-value with $$n-2$$ degrees of freedom.

II. As the standard error of the slope increases, the width of the confidence interval for $$\beta$$ increases.

III. A wider confidence interval suggests stronger evidence of a linear relationship between $$x$$ and $$y$$.

Which of the above statements are true regarding the confidence interval for $$\beta$$?