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Update kaggle-house-price.md with corrected y/y_hat equation #2564

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Update kaggle-house-price.md with corrected y/y_hat equation #2564

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2 changes: 1 addition & 1 deletion chapter_multilayer-perceptrons/kaggle-house-price.md
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Expand Up @@ -292,7 +292,7 @@ measure the discrepancy in the logarithm of the price estimates.**)
In fact, this is also the official error measure
used by the competition to evaluate the quality of submissions.
After all, a small value $\delta$ for $|\log y - \log \hat{y}| \leq \delta$
translates into $e^{-\delta} \leq \frac{\hat{y}}{y} \leq e^\delta$.
translates into $e^{-\delta} \leq \frac{y}{\hat{y}} \leq e^\delta$.
This leads to the following root-mean-squared-error between the logarithm of the predicted price and the logarithm of the label price:

$$\sqrt{\frac{1}{n}\sum_{i=1}^n\left(\log y_i -\log \hat{y}_i\right)^2}.$$
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