OLS · Diagnostics

Linearity of the Conditional Mean

OLS assumes the specified predictors describe the mean outcome with the chosen functional form.

Page 1 of 7 · Big Picture

The big picture: Linearity of the Conditional Mean

Is a straight-line mean relationship plausible?

Why a policy analyst should care

A straight-line specification can give a misleading average when the conditional mean bends, so functional shape must be checked on the scale being modeled.

Follow the idea from the opening question to a practical decision. These are the conceptual moves this module will develop:

1 Question Is a straight-line mean relationship plausible?
2 Explore Curvature can remain in residuals
3 Formalize Linearity concerns the conditional mean
4 Transfer Investigate functional form

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