An important problem in various science and engineering application is to find a polynomial whose graph passes through a specified set of points in the plane; this is called an interpolating polynomial for the points. Interpolating polynomial help scientist and engineers to design solution to problems or understand the mechanisms of the systems they study. A key skill for quantitative data analysis involves fitting models to data. A good model can be used to predict the behaviour of the system in conditions not originally measured in experiment.
In this project the lifting force on an aircraft wing measured in a wind tunnel at various wind velocities is shown in the table below.