MA 206 / LESSON 31REGRESSION DIAGNOSTICS

A visual classroom lab

Does this linear regression meet LINE?

Choose an assumption and compare illustrative diagnostic plots. Ask cadets what pattern they see before revealing the interpretation. The plots are teaching examples, not results from collected data.

01 / LINEARITY

Is a straight line appropriate?

ILLUSTRATIVE DATA

Ask the class:

What the plots can and cannot tell us

Reading the diagnostics: A residual is observed response minus predicted response. A random cloud around zero with roughly steady vertical spread supports the linearity and equal variance checks. A normal probability (Q–Q) plot compares ordered residuals with normal reference quantiles; points near a straight line support approximate normality of the errors.