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by meanmrmustard92 2994 days ago
Fair enough. Mechanically, all you're ever doing when estimating a parameter vector using OLS is projecting Y onto the span of X, and that requires linearity in the sense that Y = XB. But far too often I've met people who've come away thinking OLS is useless because they mistake the linearity in parameters with 'y must be a linear function of x', which is they think is too simplistic, and so they go do more complicated methods when OLS would have been just fine as long as they used polynomials and/or interaction terms.
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To me, that's a stellar example of why you probably shouldn't have people who don't even have a basic undergraduate "intro to stats" understanding of the subject doing your statistics work.

I get that it's a potential cause of confusion for someone who has no training in stats. But it's also jargon that describes a useful concept, and that is literally transparent if you do have enough understanding of the math to know what "linear" and "parameters" mean in this context.