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MLS-C01 Modeling Practice Question

A data scientist is working on a regression problem to predict house prices. The dataset has 80 features, including categorical variables with high cardinality (e.g., zip code with 10,000 unique values). The target variable is log-transformed. The data scientist trains a linear regression model and obtains an R² of 0.45 on the test set. To improve performance, the data scientist considers: A) Applying one-hot encoding to all categorical features and using Ridge regression. B) Using target encoding for high-cardinality features and using a tree-based model like XGBoost. C) Removing all categorical features and using polynomial features for numerical features. D) Using principal component analysis (PCA) on all features before training a linear model. Which approach is MOST likely to improve the model's performance?

Answer choices

Why each option matters

Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.

Correct answer & explanation

Target encoding + XGBoost

Target encoding efficiently handles high-cardinality features, and tree-based models like XGBoost can capture non-linear relationships and interactions, likely improving R². One-hot encoding would create too many features, causing sparsity. Removing categories loses information. PCA may discard important information.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • Remove categorical features and use polynomial features

    Why it's wrong here

    Removing categorical features discards potentially important information.

  • Target encoding + XGBoost

    Why this is correct

    Target encoding reduces dimensionality and XGBoost captures complex patterns.

  • One-hot encoding + Ridge regression

    Why it's wrong here

    One-hot encoding high cardinality creates many features, leading to high dimensionality and potential overfitting.

  • PCA on all features before linear regression

    Why it's wrong here

    PCA may lose interpretability and does not guarantee improvement; non-linear relationships remain unmodeled.

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