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Least square fit of a parabola

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Hi, I have attached a problem I would like help with as a picture file. It's not a difficult assignment, but I tend to make "stupid" or careless mistakes when it comes to the more "simple" things, so I would greatly appreciate your help so that I can check my work after I finish and see if I did it correctly and/or identify any mistakes I made. The first part of the picture is a thorough description of the experiment and how to do the problem, and at the bottom of the picture, you will find the data set that I am supposed to use to complete it.

Thank you very much for your help!

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The solutions shows in detail how to construct the system of equations for least-square fit of a quadratic polynomial.

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