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MLS-C01 Exploratory Data Analysis Practice Question

A data scientist is exploring a dataset with many features and suspects that some features are highly correlated. Which TWO methods can the scientist use to detect and handle multicollinearity before building a linear regression model?

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

Compute Variance Inflation Factor (VIF) for each feature and remove features with VIF > 10.

Options C and E are correct. Variance Inflation Factor (VIF) is a standard metric to detect multicollinearity; removing features with VIF > 10 reduces multicollinearity. Ridge regression (L2 regularization) can also handle multicollinearity by shrinking coefficients, which stabilizes estimates even when predictors are correlated. Option A is incorrect because PCA reduces dimensionality but the resulting components are orthogonal, not the original features, and using all components does not address multicollinearity among the original predictors. Option B is incorrect because standardizing features only changes their scale, not their correlations. Option D is incorrect because stepwise selection does not directly detect or mitigate multicollinearity; it can even produce unstable models if collinearity is present.

Answer analysis

Option-by-option breakdown

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

  • Apply Principal Component Analysis (PCA) and use all components.

    Why it's wrong here

    PCA reduces interpretability and does not handle multicollinearity in original features.

  • Standardize all features to have zero mean and unit variance.

    Why it's wrong here

    Standardization does not change correlations between features.

  • Compute Variance Inflation Factor (VIF) for each feature and remove features with VIF > 10.

    Why this is correct

    VIF detects multicollinearity; removing high VIF features reduces it.

  • Use stepwise feature selection.

    Why it's wrong here

    Stepwise selection does not specifically address multicollinearity.

  • Use Ridge regression (L2 regularization) to shrink coefficients.

    Why this is correct

    Ridge regression penalizes large coefficients, mitigating multicollinearity.

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