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A confidence interval is an interval that covers an unknown parameter with $100(1-\alpha)\%$ confidence. Confidence intervals are a frequentist concept. They are often confused with credible intervals which is the Bayesian analog.
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Calculating 95% Confidence Interval for Regression Coefficient
You can relate the standard error of estimate (se) of the coefficient ($b_1$) and its t-statistic:
$$\eqalign{
\text{t-statistic} &= \frac{\hat b_1}{\operatorname{se}\left(\hat b_1\right)} \\
\implie …