Freddie Mac·Data Scientist·Technical Phone Screen
- You have monthly panel data on rental properties across MSAs from 2010 to 2025. Write a regression to estimate the elasticity of rent with respect to vacancy, including property and month fixed effects. Justify your choice of log transforms and any seasonal terms.
- Given serial correlation and heteroskedasticity in your panel data, which standard error estimator would you use and why? Compare two-way clustering by property and month, Driscoll-Kraay, and Newey-West. What are the finite-sample tradeoffs?
- Test for unit roots and cointegration in log rent and log vacancy. If both series are I(1), how would you set up an error correction model using either the Engle-Granger or Johansen approach to avoid spurious regression?
- If your model returns a coefficient of -0.35 on log vacancy, what does that mean? Specifically, compute the predicted percent change in rent when vacancy increases from 8% to 10% at the MSA level.
- How would you diagnose multicollinearity among macro regressors like unemployment, CPI, and interest rates? What remedies would you consider, such as orthogonalization, ridge regression, or Bayesian priors, and how does each affect your inference?
“I knew the log-log setup cold, elasticity interpretation is straightforward.”