Hope that title wasn't too confusing. Anyways...say I'm interested in how a covariate might be influencing my response variable. Besides running it as an ANCOVA, I've also heard that you can run a regression of the covariate with the response variable. Then you can use those residuals from that regression as the response variable in an ANOVA. What's the difference between the two analyses? When is one preferred over the other? Is one typically more appropriate?