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Math Help - Can I trust this regression analysis?

  1. #1
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    Can I trust this regression analysis?

    Hello all!

    I did some mini research and decided to run a regression analysis
    to establish a relationship between raid5 read performance (MB/s) and
    raw cpu power. (pass mark points).

    This is the result:

    71.4637 + 912*.0587639=125.0537

    With a regression coefficient of .999294.

    But is this any good? (hinting at n=3)

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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Can I trust this regression analysis?

    Welcome to MHF, iBurger!

    A regression coefficient of .999294 is pretty good.
    It means your data points are pretty accurately on a straight line.

    n=3 measurements is not very much though as you probably already surmised.
    It leaves a pretty big chance on systematic mistakes that a regression analysis does not cover.

    Do you also have the t-test significance value of the slope coefficient?
    At the very least that one should be below 0.05 to indicate that the chance that you wrongfully conclude you have a linear relationship, is less than 5%.
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  3. #3
    Newbie
    Joined
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    Re: Can I trust this regression analysis?

    Thank you! And thanks for running through the numbers!

    I'm still amazed that I actually managed to find something in the data. Have to get much better at statistics though and develop some good intuition.

    I read up on the suggested t-test and I get its purpose. [h0: b1=0 vs. h1: b1=/0]. I tried to calculate it by hand and found mad numbers, far under the 0.001 p-level however, I'll need to install Excel and rerun that this test because I don't trust my own calculations. I'll keep you posted, probably next week I'll have more time.

    So! big thanks! really fun experience!
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