Correlated predictors are regularized into one stable linear score, then calibrated into probabilities.
Investment candidate sourcing
Find distressed homes worth investigating
Use a calibrated linear probability model to rank distressed-sale candidates, then compare observed asking price with an OLS fair-value estimate.
Data signals differ by target
The same features tell two stories
Select a feature to compare its direction and strength for price versus distressed-sale status.
Interpretation boundary: correlation is descriptive and feature importance is predictive; neither establishes a causal effect on price or distress.
Statistical model selection
A calibrated linear model wins the screen
Nested out-of-fold testing compares probability quality and candidate capture. Trees remain useful challengers, but the selected model is simpler and more productive.
The strongest standalone tree remains competitive on ranking, but captures fewer cases in the review budget.
Price is mostly additive and linear here; OLS improves 26.8% on the best tree MSE.
Resampling, calibration and early stopping occur inside training folds only.
The selected screen captures 51.1% of known distressed cases with 40.0% precision.
Housing price benchmark
Use OLS for price; keep trees as benchmarks
OLS has the lowest repeated-CV error. The best tree, XGBoost, remains useful as a nonlinear challenger but does not justify replacing the linear valuation anchor.
OLS regression
997.03 MSEThe additive price structure rewards a transparent linear fair-value estimate.
XGBoost regression
1,362.70 MSEShallow boosted trees are the best nonlinear benchmark, but error is 36.7% higher than OLS.
Compare with asking price
Observed ask − OLS fair valueThe dataset contains sale price, not a live asking price; obtain the ask before underwriting.
Distressed-sale probabilities
Calibrated LDA finds more candidates per review
At a fixed 20% review budget, the selected model surfaces 24 of 47 distressed homes. That is four more than random forest and six more than calibrated XGBoost.
Calibrated shrinkage LDA
Review the top 60 ranked homes to find 24 of the 47 observed distressed cases.
Nested ridge + RF blend
Probability quality is statistically tied with LDA, but the queue finds three fewer cases.
Random forest
Retained as the strongest pure-tree comparator for nonlinear structure.
Out-of-fold analytics
Why the linear screen earns the decision
The most decision-useful plots from the source analysis are updated to include the calibrated LDA model and the fixed 20% investment-review budget.
Investment screening decision
Rank with calibrated LDA; value with OLS
Use distress probability to decide what to inspect, then use the price model and current market evidence to decide whether the opportunity deserves underwriting.
Calibrated shrinkage LDA
OLS fair-value model
Sort homes by calibrated distress probability.
Inspect the top 20% queue for genuine urgency and condition.
Compare asking price with the OLS estimate and local comps.
Underwrite repairs, title, liquidity and transaction costs.
Decision boundary: distress does not imply a bargain. A live asking price, repair estimate, title review and resale/rental comps are required before investment.
Cross-model diagnostics