Solution
= Solution
The reported 95% <credible interval> for $\beta_1$ is
$$
[-0.33,\,2.37].
$$
Conditional on the model, prior, and observed data, its posterior probability is 0.95. A frequentist 95% <confidence interval> instead has 95% coverage under repeated sampling before the data are observed; it does not assign a sampling probability to the fixed parameter after observing this dataset.