📚 Learning Guide
Loss Functions
hard

A model is being trained to predict housing prices based on various features like square footage, location, and number of bedrooms. The model uses the Mean Squared Error (MSE) as its loss function. Which of the following scenarios best illustrates a situation where the use of MSE would be inappropriate, and why?

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Choose the Best Answer

A

The dataset contains a few extremely high-priced homes that are outliers.

B

The dataset has a balanced distribution of home prices across different ranges.

C

The model consistently predicts prices that are slightly lower than actual prices.

D

The dataset includes homes in various geographical areas with significant price variations.

Understanding the Answer

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Answer

A bad fit for MSE happens when the target values contain extreme outliers, like a dataset that has one few luxury homes priced at $10 million while most houses are around $300 k. Because MSE squares the error, that single huge mistake would dominate the loss and make the model try to predict every house near $10 million, hurting predictions for the majority. In this case the model is forced to trade off many small errors for one big one, so the loss no longer reflects the typical error we care about. Using a loss that is less sensitive to outliers, such as mean absolute error or a log‑based loss, would give a more realistic picture of performance.

Detailed Explanation

When a few very expensive houses stand out from the rest, MSE squares the errors. Other options are incorrect because A balanced spread of prices does not hurt MSE; Predicting slightly lower prices is a bias, not a problem for MSE.

Key Concepts

Loss Functions
Mean Squared Error
Outliers in Data
Topic

Loss Functions

Difficulty

hard level question

Cognitive Level

understand

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