How to go about interpreting regression cofficients

Following my post about logistic regressions, Ryan got in touch about one bit of building logistic regressions models that I didn't cover in much detail – interpreting regression coefficients. This post will hopefully help Ryan (and others) out. I'd love to see more about interpreting the glm coefficients. Coefficients are what a line of best fit model produces. A line of best fit (aka regression) model usually consist of an intercept (where the line starts) and the gradients (or slope) for the line for one or more variables.