Chapter 4 · Section 1 practice
Targets, Regression and OLS
These questions review the examples in the companion slides. Choose an answer, then check the explanation.
Question 1
Which statement is justified by the OLS example?
- Training R² proves the signal will make money
- A coefficient measures a conditional fitted association, and future forecast quality needs chronological evaluation
- Normal-looking features guarantee independent errors
- Pending outcomes should be filled with zero before training
Question 2
Which condition is needed to define an identifiable OLS coefficient vector?
- Every predictor is normally distributed
- The design matrix has full column rank
- The training R² exceeds 0.5
- Every outcome is positive
Question 3
Adding an irrelevant regressor to OLS with an intercept can do what?
- Reduce training R² mechanically
- Leave or increase training R² while worsening validation error
- Guarantee a lower validation RMSE
- Eliminate residual variance