MML-14-05: Regression Diagnostics: Residual Analysis, Coefficient of Determination, Condition Numbers and Multicollinearity – Practice Quiz

35 worked single-select and multiselect questions on Regression Diagnostics: Residual Analysis, $R^2$, Condition Numbers & Multicollinearity. Cognitive level: Tier 2–3. Prerequisites: QS 14.4.

Develop conceptual understanding, step-by-step computations, ML diagnostics and the assigned theoretical derivations. Each explanation analyzes every choice by its content.

Learning objectives: Calculate TSS, RSS, ESS and ordinary coefficient of determination. Apply adjusted model-fit measures with correct degrees of freedom. Interpret residual patterns and avoid unjustified diagnostic conclusions. Calculate and interpret VIF from auxiliary regressions. Relate singular values and condition numbers to coefficient sensitivity. Distinguish leverage, residual magnitude and influence. Separate training fit, prediction quality and causal interpretation.

Study references: James et al., An Introduction to Statistical Learning, second edition, Sections 3.1–3.3 and 6.2.