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I The least square method

  1. Aug 9, 2017 #1
    Hello Sir,

    I would studying the theory of least square and I find that the derivative of the error summation between the predicated line points and the true data is equal zero. Why the first derivative is equal zero?
     
  2. jcsd
  3. Aug 9, 2017 #2

    haruspex

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    I'm partly guessing exactly what you did, but I suggest it is because the method finds the line that minimises the sum square of errors, and when a smooth function is at a maximum or minimum the slope (derivative) of the function is zero.
     
  4. Aug 10, 2017 #3
    You are right, I have the same opinion regarding the answer. But is there a prove to this fact?
     
  5. Aug 10, 2017 #4

    haruspex

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    A proof of which fact? That at an extremum the derivative is zero?
     
  6. Aug 23, 2017 #5
    Unfortunately, there is a prove but I didn't reach to it.
     
  7. Aug 23, 2017 #6

    Mark44

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    What does this mean? Did you find a proof but were unable to follow the logic of it?
     
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