Modelling using Polynomial Regression

TLDR

Polynomial regression is useful for modeling curvilinear relationships between two variables. The authors applied a polynomial regression to strain–drilling depth data, estimated parameters by least squares, evaluated accuracy with standard indicators, and performed the analysis in MATLAB.

Abstract

This paper is concentrated on the polynomial regression model, which is useful when there is reason to believe that relationship between two variables is curvilinear. The polynomial regression model has been applied using the characterisation of the relationship between strains and drilling depth. Parameters of the model were estimated using a least square method. After fitting, the model was evaluated using some of the common indicators used to evaluate accuracy of regression model. The data were analyzed using computer program MATLAB that performs these calculations.