34) and (9.35). Typically, these formulas are given by:
\[ s_{\hat{\beta}_0} = \sqrt{s^2 \left(\frac{1}{n} + \frac{\bar{x}^2}{S_{xx}}\right)} \]
\[ s_{\hat{\beta}_1} = \sqrt{\frac{s^2}{S_{xx}}} \]
where \( s^2 \) is the estimate of the variance of the residuals, \(
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