What's the difference between standard error of the estimate and standard error of the regression coefficient?

The standard error of the estimate (SEE) quantifies the error in predicting the *dependent variable's* values. The standard error of a regression coefficient, on the other hand, measures the precision of the *coefficient's estimate* itself (e.g., the slope). The standard error of the coefficients is used for hypothesis testing about the individual coefficients (e.g., are they significantly different from zero?).