The accuracy of coefficient estimates in regression is assessed by considering their variability, which is captured through standard errors and the covariance matrix.
The standard error is the standard deviation of the coefficient estimates obtained from different datasets, indicating the uncertainty around the estimated coefficients.
The unbiased nature of OLS coefficient estimates means that, on average, the estimates from different datasets will converge towards the true population parameter.
Confidence intervals are used to determine the range within which we can be a certain level of confidence (e.g., 95%) that the true coefficient value lies.