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Math Help - Regression for Ax^2+Bx+C

  1. #1
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    Regression for Ax^2+Bx+C

    Hi there,

    I have a set of data points

    {(X1,Y1), (X2,Y2),........(Xn,Yn)}

    I would like to approximate the relation between X and Y as a parabola. Assuming the parabola has form y = Ax^2+Bx+C, can somebody please provide me with the least squares regression formulas for A, B and C.

    Any help is greatly appreciated.

    Thanks,

    AP
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by AyePee View Post
    Hi there,

    I have a set of data points

    {(X1,Y1), (X2,Y2),........(Xn,Yn)}

    I would like to approximate the relation between X and Y as a parabola. Assuming the parabola has form y = Ax^2+Bx+C, can somebody please provide me with the least squares regression formulas for A, B and C.

    Any help is greatly appreciated.

    Thanks,

    AP
    I hope this helps:

    Least Squares Fit of a Quadratic Curve to Data
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