Right - if you grid your comps ( you can always add more to the exercise) and make the adjustments properly, in order the physical characteristics are last, and if you adjust for the other key features, such as a pool and a view, and leave sf for last, it extracts the SF adjustment price per sf as a contributory value. And THAT is how buyers more or less decide on what they pay -
I have never, ever heard of a buyer for residential properties sitting down and doing a regressionor using statistics and paying accordingly. Sure, some nerd buyer might do it, but most buyers don't. Appraisal is supposed to replicate how buyers (and sellers ) think and act. Unless a regression can be applied as an overlay or check on how the market actually thinks and acts it can produce, IMO, misleading results.
Another problem with regression is that it is difficult or impossible for a reviewer or party to replicate and see if it was viable or not, whereas using the comps right there on the grid itiis very easy for anyone to see it and determine if the adjustments are reasonable - by reasonable that is, what the market is generally doing as seen in price reaction and marketing times, and what is proportionate ot the price range and properties.
200 sf in one property can be worth far more or less than in another and it is into just because of quality or cost to build. For 1000 vs. 1200 sf house or condo, that 200 sf is hugely important - it can be an extra bedroom or family room and makes a 3 bedroom house vs. a 2 bedroom house or cramped vs. liveable. Whereas 2500 vs. 2700 house that 200 sf is not noticeable and worth is much ( typically). And then there is an over improvement where a property is simply too big for its area and price range.
It is called market value, not math value and not statistical value for a reason. Math and statistics can be used to get results and are, of course, but they are in service of supporting the market-derived value, not the other way around.
Buyers adjust with their wallets - they pay more for positive features and expect to pay less/get a discount for negative features. Any method we use should be following what they actually do as seen in in prices and what are the most similar, competitive properties they would buy instead of the subject. ( which are your comps of course or sales that could be comps )raThe same 200 sf in a