1978Sociological Methods & ResearchRequires access

Interpreting Polynomial Regression

James A. Stimson, Edward G. Carmines, Richard A. Zeller

Open publisher page 62 citations

Abstract

This paper focuses on the interpretational difficulties that confound polynomial regression analysis. While polynomial regression is statistically sound, it produces awkward equations which "describe" a curve with a series of linear slopes. An example illustrates the technique and the awkward properties of regression coefficients in the quadratic case. Finally, the paper briefly outlines an algebraic manipulation that transforms polynomial regression equations into a format that is readily interpretable.

About this research paper

What this paper is about

This paper focuses on the interpretational difficulties that confound polynomial regression analysis. While polynomial regression is statistically sound, it produces awkward equations which "describe" a curve with a series of linear slopes. An example illustrates the technique and the awkward properties of regression coefficients in the quadratic case. Finally, the paper briefly outlines an algebraic manipulation that transforms polynomial regression equations into a format that is readily interpretable.

Why it matters

OpenAlex reports 62 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper focuses on the interpretational difficulties that confound polynomial regression analysis. While polynomial regression is statistically sound, it produces awkward equations which "describe" a curve with a series of linear slopes. An example illustrates the technique and the awkward properties of regression coefficients in the quadratic case. Finally, the paper briefly outlines an algebraic manipulation that transforms polynomial regression equations into a format that is readily interpretable.

Key concepts: Polynomial regression, Polynomial, Regression analysis, Regression, Linear regression, Mathematics, Applied mathematics, Quadratic equation

Related papers

Back to paper searchBrowse research topicsOriginal source
Interpreting Polynomial Regression — Research Paper | ScholarLens