Question

Find the least squares quadratic polynomial for the data

Answer 1

scroll down about 1/3 the page to access the online calculator.
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Quadratic Regression and Its Calculus

Quadratic regression models are often used in economics areas such as utility function , forecasting, cost-befit analysis, etc. This JavaScript provides parabola regression model. This site also presents useful information about the characteristics of the fitted quadratic function.

Prior to using this JavaScript it is necessary to construct the scatter-diagram for your data.

If by visual inspection of the scatter-diagram, you cannot reject a "parabola shape", then you may use this JavaScript. Otherwise, visual inspection of the scatter-diagram enables you to determine what degree of polynomial regression models is the most appropriate for fitting to your data.

http://home.ubalt.edu/ntsbarsh/Business-stat/otherapplets/QuadReg.htm