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Curve of Regression (Part of a Physics Experiment)

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I have a defined curve with an associated 2nd order polynomial equation.

I want to understand how to calculate the area under the curve as I have it denoted on the attached pdf file. Also is the integration relative to the x,y limits I have shown.....or is it truly the total area under the curve relative to the x-axis?

Show the steps necessary to perform this integration.

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Solution Summary

Area under the curve of regression has been approximated using integration in the solution.

Solution Preview

The solution file is attached.

I guess you had a series of data points of some experiment and you had to do a regression and find out a curve that would include most of your data points right? And having done the regression, you have got the regression equation as y = -1.0189x^2 + 27.093x + ...

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