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Update linear-regression.md
Would it be better to add a * here? It would indicate that y is the noise-perturbed true function, and y itself does not change when finding the maximum likelihood of μ.
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chapter_linear-regression/linear-regression.md

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@@ -568,7 +568,7 @@ is to assume that observations arise from noisy measurements,
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where the noise $\epsilon$ follows the normal distribution
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$\mathcal{N}(0, \sigma^2)$:
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$$y = \mathbf{w}^\top \mathbf{x} + b + \epsilon \textrm{ where } \epsilon \sim \mathcal{N}(0, \sigma^2).$$
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$$y = (\mathbf{w}^\*)^\top \mathbf{x} + b^\* + \epsilon \textrm{ where } \epsilon \sim \mathcal{N}(0, \sigma^2).$$
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Thus, we can now write out the *likelihood*
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of seeing a particular $y$ for a given $\mathbf{x}$ via

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