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Math Help - interpolate measured data

  1. #1
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    interpolate measured data

    I have a measured data set (x & y are inputs, z is the result at those measures):

    x y z
    0.036802 0.004908 0.07158
    0.036802 0.022135 0.10095
    0.130886 0.004908 0.09627
    0.130886 0.022135 0.12560

    I would like a formula for interpolation, to predict z for all input conditions x & y (within bounds), for example when x=0.0875 & y=0.0066.

    I have tried some some formulas, but nothing is predicting with much accuracy.

    Thanks for any help
    J
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  2. #2
    hpe
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    Quote Originally Posted by jhasting
    I have a measured data set (x & y are inputs, z is the result at those measures):

    x y z
    0.036802 0.004908 0.07158
    0.036802 0.022135 0.10095
    0.130886 0.004908 0.09627
    0.130886 0.022135 0.12560

    I would like a formula for interpolation, to predict z for all input conditions x & y (within bounds), for example when x=0.0875 & y=0.0066.

    I have tried some some formulas, but nothing is predicting with much accuracy.

    Thanks for any help
    J
    The four data points you have there may be interpolated exactly with a function of the form z = a + bx + cy + dxy. Plug in the four data points and solve for a, b, c, d.
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