If you are a national lender with significant volume, I would suggest that you engage a consultant to assist in the development of any type of regression analysis. Regulators tend to be very tough on the topic of model development and will scrutinize all aspects of what you put in your model and what you exclude.
Generally speaking, if you utilize a factor for pricing, you would expect it to be within your regression analysis. If you do not use a factor to determine pricing, regulators would not expect to see it within your regression or matched pair determination. So for instance, credit score, if you price at a single price (which is common within mortgage lending), a regulator may not expect you to group only those with a 780 credit score with other 780 customers. In their mind, a 780 would probably be similar to an 800 or 760. Much of this depends on the regulator, your volume, the product, etc. That is why some consultants are very beneficial in this area. Plus they typically will utilize a PHD statistician that can (sometimes) go toe to toe with the regulator PHD statistician.
Other prohibited factors (race, gender, ethnicity) should all be tested separately.