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Math Help - Help with calculating line of best fit (Linear)

  1. #1
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    Sep 2011
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    Help with calculating line of best fit (Linear)

    Hi, I hope that this is the correct category for this post. I am new here, so please bear with me.
    Anyways here is my question
    I am doing a math project where I need to use a function to model data.
    The data is this:
    X: Y:
    0 197
    4 203
    8
    12
    16 198
    20 204
    24 212
    28 216
    32 218
    36 224
    40 223
    44 225
    48 236

    Note there is not data for x=8,12. Anyways, I need to show the calculations for the LINEAR line of best fit. Using programs like excel, I have found the equation of this line to be y=0.7551x+194.14
    But when I try to calculate it by hand, the closest I can come to is y=0.75x+200.
    I do this by finding slope from point (32,218) and (24,212), which is .75 and then i sub that in to find the y-intercept. I don't really now how I am supposed to end up with 0.7551x+194.14 though. But I need to show that calculation to get full marks. Does anyone know how to do this and if they do, could they write it out for me.

    Thanks so much
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  2. #2
    Member
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    Aug 2011
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    Re: Help with calculating line of best fit (Linear)

    Usually it is done thanks to linear least squares regression :
    Least Squares Fitting -- from Wolfram MathWorld
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