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Math Help - Curve Fitting

  1. #1
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    Curve Fitting

    Determine the equation of a straight that best fit the points:

    Code:
    X|  0  |   2 |   4 |  6  |  8  |  10  |
    Y|1.12 |5.06 |9.09 |13.12 |17.14 |21.11 |
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  2. #2
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    Quote Originally Posted by Apprentice123 View Post
    Determine the equation of a straight that best fit the points:

    Code:
    X|  0  |   2 |   4 |  6  |  8  |  10  |
    Y|1.12 |5.06 |9.09 |13.12 |17.14 |21.11 |
    What method are you expected to use? Linear regression by hand? Technology? etc. Please be more specific about what method you're expected to use.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    What method are you expected to use? Linear regression by hand? Technology? etc. Please be more specific about what method you're expected to use.
    Least Squares method
    I do not understand is how to find the equation of the line. What would be the polynomial
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    Quote Originally Posted by Apprentice123 View Post
    Least Squares method
    I do not understand is how to find the equation of the line. What would be the polynomial
    Please answer the question I asked in my first reply: Are you expected to do it using technology (eg. calculator that has a linear regression program) or by hand?
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    Please answer the question I asked in my first reply: Are you expected to do it using technology (eg. calculator that has a linear regression program) or by hand?
    Ohh, sorry. Is by hand
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  6. #6
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    Then what formulas do you know? I doubt that you are expected to derive the "least squares" solution by from scratch.
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  7. #7
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    Quote Originally Posted by HallsofIvy View Post
    Then what formulas do you know? I doubt that you are expected to derive the "least squares" solution by from scratch.
    I know the method of least squares, where I have several meeting points and a polinimio.
    What polynomial I need to find in this case?
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  8. #8
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    There are several different formulas to compute "least squares". What formula are you using?
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  9. #9
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    Quote Originally Posted by HallsofIvy View Post
    There are several different formulas to compute "least squares". What formula are you using?
    Is this:

    \sum_{k=1}^{m} (d_k)^2 = \sum_{k=1}^{m} [f(x_k) - \phi (x_k)]^2

    \phi (x) = \alpha_1 g_1(x) + ... + \alpha_n g_n(x)

    F(\alpha_1 , \alpha_2 , ..., \alpha_n ) = \sum_{k=1}^{m} (d_k)^2 = \sum_{k=1}^{m} [f(x_k) - \phi (x_k)]^2
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