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Math Help - Find the equation used in this calculator

  1. #1
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    Find the equation used in this calculator

    Hey guys

    This has been really bugging me as I can't figure out how to do it. I've just completed 1st year of my motorsport design engineering degree course so it shouldn't be much of a problem!

    Alas...

    We have these numbers which represent BHP and weight, inputted into a calculator which give an output which supposedly represents a 0-60mph time. I want to figure out what equation is being used, mainly for fun as it's annoying me that I can't figure it out

    Here is the data we have

    BHP, Weight, 0-60

    500, 1000, 2.9
    600, 1000, 2.9
    200, 1000, 4.8
    323, 1356, 4.5
    223, 1256, 5.7


    I have more data if it's needed.
    How can I go about coming up with the equation for these outputs?

    Thanks in advance
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  2. #2
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    Re: Find the equation used in this calculator

    Inputting your data into ms-excel and using the regression function in the data analysis suite I get,

    Time = -0.006091194 BHP + 0.001961836 Weight + 4.27146484

    More data would be helpful to get a better fit as the p-values for the regression parameters are not all significant.
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  3. #3
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    Re: Find the equation used in this calculator

    More data:

    197 bhp, 1150 weight, 5.8 time
    402 bhp, 905 weight, 3.1 time
    373 bhp, 961 weight, 3.3 time
    665 bhp, 1008 weight, 2.8 time
    90 bhp, 800 weight, 10.9 time

    Thanks for the help so far mate. More data?
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  4. #4
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    Re: Find the equation used in this calculator

    Give me all the data you have, but in the format in post #1, just the commas in between.
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  5. #5
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    Re: Find the equation used in this calculator

    500, 1000, 2.9
    600, 1000, 2.9
    200, 1000, 4.8
    323, 1356, 4.5
    223, 1256, 5.7
    197, 1150, 5.8
    402, 905, 3.1
    373, 961, 3.3
    665, 1008, 2.8
    90, 800, 10.9
    800, 1150, 2.7
    264, 1439, 5.4
    148, 1301, 8.5
    128, 1287, 9.8
    119, 1244, 10.0

    All I've got
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  6. #6
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    Re: Find the equation used in this calculator

    No worries, here is the output,

    Parameter ~~~~~~~~~~ Coefficients ~~~~~~~~P-value
    Intercept 8.856424987 0.020317672
    X Variable 1 -0.010798898 0.0004769
    X Variable 2 0.000272509 0.920580742
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  7. #7
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    Re: Find the equation used in this calculator

    Ok cheers mate. I'm going to run some more numbers through the formula and see how it works out. Hopefully the 0.92 p value doesn't mean that times are going to be too far out from the original calculator.
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  8. #8
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    Re: Find the equation used in this calculator

    Doesn't work too well :-/ e.g. the 197, 1150 car gives a time of 7.04s, it should be 5.8s
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  9. #9
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    Re: Find the equation used in this calculator

    The 119, 1244 inputs give 7.9 when it should be 10.0
    What do you recommend? More data?
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