Linear Algebra
Transforming the plane…
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Linear Algebra
Transforming the plane…
When no line passes through every point, take the one with the smallest squared errors. Behind the fit is a projection: b dropped onto the column space of A.
Five points that almost lie on a line, but not quite: no line passes through all of them. Which line comes closest — and closest in what sense?
| x | −3 | −1 | 0 | 2 | 3 |
| y | −2 | −1 | 1 | 1.5 | 3 |
The normal equations appear once the tour reaches them.