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Secondly, linear regression IS a line/hyperplane. The fact that you can nonlinearly transform the data before fitting the regression does not change it. The fact that you might transform the data back and then make a picture in which the regression line does not look like a line anymore still does
357:²) of that space. So it’s still a linear regression regardless of the fact that what i'm fitting is actually a hyperplane (only in a higher-dimensional space). Fitting sine wave usually requires estimating the amplitude, the phase and the frequency — that's nonlinear regression already.
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But if you fit a parabola or a sine wave by least squares in the usual way, it's still linear regression regardless of the fact that what you're fitting is not a line nor a hyperplane. Hence the way you've written this page is incorrect.
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page is to refer users to one of several articles that could, in principle, have the same title, in this case "Linear regression." On this page, both of the two entries ultimately directed the reader to the
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not change it either. Linear regression IS the line, meaning that it reduces the 2-dimensional joint probability cloud of (y,x) to a geometric line in the 2-dimensional space.
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I'm not a stats expert, but I do have some background in math and linear algebra. It seems like you guys are over-analyzing this from my perspective. Why not something like:
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are in fact meant to refer to OLS. Having this page as a disambig will raise flags for “links to the disambiguation page”, and the links will be corrected.
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Michael, if you don't like my definition then provide yours. But you can't leave the term undefined.
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First of all, it’s not really appropriate to say “For the use of the term in
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regression if you're projecting onto the space spanned by two columns, the
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Talk:Linear regression model#Should this article be renamed?
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linear regression (disambiguation) listing the following:
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Fitting a parabola means that you create a new variable
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The page redirects to two different articles: either
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