Density Estimation, Local Regression & Splines – Practice Quiz

Explore Density Estimation, Local Regression & Splines through 20 original single-select and multiselect questions, from core understanding to worked applications, assumption checks and advanced diagnostic challenges.

Prerequisites: the preceding Statistics curriculum, including probability, conditional distributions, regression, model validation and regularization.

Practice goals: Interpret density plots and local smoothing; Calculate normalized densities and local means; Explain spline continuity, curvature penalties and natural boundaries; Diagnose additivity, boundary effects and high-dimensional smoothing; Analyze linear reproduction and smooth-term identification; Tune smoothing strength and distinguish basis capacity from effective flexibility. Explanations work through the reasoning and address the alternatives.

Further reading: density; smooth.spline; loess; gam.