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Thread: least squared problem and linear algebra

  1. #1
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    least squared problem and linear algebra

    Im presented with with the following problem:

    E(a,b) = \sum_{j=1} ^{N} (y_{j} - (ax_{j} + b)^2)

    Is used to calculate the distance between regular line y = ax + b and a set of points. Its called a least squared problem.

    Im tasked with determing \frac{\partial E}{\partial a} , \frac{\partial E}{\partial b}

    Next if \frac{\partial E}{\partial a} = 0 , \frac{\partial E}{\partial b}= 0


    Then this the result in the following set linear system.

    More will follow shortly.

    Sincerely and Best Regards,

    Fred
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  2. #2
    hpe
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    Google "least squares normal equations" and you will find plenty of help.
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