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Math Help - Converting units/scale in a linear regression model

  1. #1
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    Converting units/scale in a linear regression model

    So this is a very simple question, but it's been years since I did regression and I can't quite figure it out
    So basically, I'm given a regression function for predicted weight (w = -99.41 + 3.94 x height) which is in terms of inches and pounds. The R^2 = 0.81 and SER = 10.2
    The question is, how can I convert that regression function into kilograms and centimeters? I've tried multiplying by the conversion factors, and for some reason I just can't seem to get it Also, what would happen to the SER? I know the R^2 should stay the same, because it's unit-less and such. Anyone able to help me out here? It would be greatly appreciated if you could point me in the right direction! Thanks!!
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  2. #2
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    Quote Originally Posted by mistykz View Post
    So this is a very simple question, but it's been years since I did regression and I can't quite figure it out
    So basically, I'm given a regression function for predicted weight (w = -99.41 + 3.94 x height) which is in terms of inches and pounds. The R^2 = 0.81 and SER = 10.2
    The question is, how can I convert that regression function into kilograms and centimeters? I've tried multiplying by the conversion factors, and for some reason I just can't seem to get it Also, what would happen to the SER? I know the R^2 should stay the same, because it's unit-less and such. Anyone able to help me out here? It would be greatly appreciated if you could point me in the right direction! Thanks!!

     w_{kg}=0.4536 \times w_{lb} = 0.4536 (-99.41 + 3.94 \times h_{inches})=-45.09+1.79\times h_{inches}

    and

    h_{inches}=h_{cm}/2.54

    so:

     w_{kg}=-45.09+0.7036\times h_{cm}

    The Standard Error of the Regression has units of mass so you multiply it by 0.4536 to convert it to kg.

    CB
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  3. #3
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    Thank you so much!
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