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Day 4

Interview questions and worked review notes. Categories belong to individual questions; a day can contain more than one subject.

Questions

Question Topic Status Edited by
1. Explaining Returns — Regression, Transformations, and Model Comparison Statistics · Linear Regression Three parts with answers Charles
2. Ten Topping Sundae Combinatorics · Subsets Solution available Charles
3. Painted Cube Combinatorics · Spatial Reasoning Solution available Charles
4. Spherical Coordinate Variance Statistics · Symmetry Solution and second-moment derivation Charles
5. King of Hearts Probability · Conditioning Solution available Charles

Ideas to revisit

  • Distinguish normal predictors, conditional errors, and the sampling distribution of estimates.
  • Explain what a log-return transformation changes before applying it.
  • Compare marginal and conditional associations with a clear purpose.
  • Match standard errors to heteroskedasticity and time dependence.

  • Count subsets by size or by independent include/exclude choices.

  • Use symmetry to derive second moments without assuming independence.
  • State exactly which information a conditional probability uses.

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