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MLS-C01 Exploratory Data Analysis Practice Question

A data scientist is analyzing a dataset with a binary target variable. They compute the correlation matrix and find that all features have correlations between -0.1 and 0.1 with the target. They suspect that the relationship might be non-linear. Which of the following techniques should they use to detect non-linear relationships?

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

Mutual information

Mutual information is the correct technique because it measures the dependency between variables and can capture any type of relationship, including non-linear and non-monotonic. Options A and C are incorrect: ANOVA is used for comparing means of categorical vs continuous variables, and Pearson correlation only measures linear relationships. Option B is also incorrect: Spearman's rank correlation captures monotonic relationships but may miss other non-linear patterns.

Answer analysis

Option-by-option breakdown

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

  • ANOVA test

    Why it's wrong here

    Tests differences in means across groups, not general association.

  • Spearman's rank correlation

    Why it's wrong here

    Captures monotonic relationships, not all non-linear.

  • Pearson correlation coefficient

    Why it's wrong here

    Only captures linear relationships.

  • Mutual information

    Why this is correct

    Measures any kind of dependency, linear or non-linear.

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