Updated the introduction
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@@ -409,7 +409,7 @@ factor in front of \( x \) and the normal distribution. Try to change the
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function \( y \) to
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$$
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y = 10x+0.01N(0,1),
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y = 10x+0.01 \times N(0,1),
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$$
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<p>
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@@ -421,7 +421,7 @@ long run. Here we have only defined the training data and our model, and
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have not discussed a more rigorous approach to the <b>cost</b> function.
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<p>
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We need more rigorous criteria in defining whether we have succeed or
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We need more rigorous criteria in defining whether we have succeeded or
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not in modeling our training data. You will be surprised to see that
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many scientists seldomly venture beyond this 'by the eye' approach. A
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standard approach for the <em>cost</em> function is the so-called \( \chi^2 \)
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