Fit Linear Regression: Analyze Economic Impact of Coefficients
Scenario
You are given a tabular financial dataset df where the column target is the dependent variable (e.g., next-period return or excess return), and all other columns are candidate predictors/features.
Task
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Fit an Ordinary Least Squares (OLS) regression with target as the dependent variable and all other columns as predictors.
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Report each estimated coefficient (beta) and interpret its economic meaning.
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Describe how you would sequentially test the marginal contribution of each feature (i.e., whether adding/removing a feature improves the model), referencing t-tests and nested F-tests.
Notes
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Use Python statsmodels OLS.
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Refer to summary(), t-statistics, p-values, adjusted R², and nested F-tests. Stepwise procedures are acceptable if justified.
Constraints & Assumptions
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Preserve the scope, facts, inputs, and requested outputs from the prompt above.
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If the prompt leaves a detail unspecified, state a reasonable assumption before relying on it.
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Keep the answer interview-ready: concise enough to present, but concrete enough to implement or evaluate.
Clarifying Questions to Ask
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Clarify the task, data shape, labels, constraints, and evaluation metric.
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State assumptions behind the math or modeling technique you choose.
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Connect theory to practical training, debugging, and deployment implications.
What a Strong Answer Covers
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Correct definitions and formulas where the prompt requires them.
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A practical explanation of how the method behaves on real data.
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Trade-offs, failure modes, diagnostics, and mitigation strategies.
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Evaluation choices that match the product or modeling objective.
Follow-up Questions
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How would noisy labels, class imbalance, or distribution shift affect the answer?
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What would you monitor after deployment?
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Which baseline would you compare against first?