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Statistics question: error of slope in linear regression from r

  1. Jul 7, 2012 #1
    A text says that if you calculate the linear regression of data points and you get the equation y=mx+b with an r2 value, the error in the slope is given by:
    δm/m=2(1-r)

    No explanation was given. Could someone please explain this formula? Thanks!
     
  2. jcsd
  3. Jul 7, 2012 #2

    HallsofIvy

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    What does "the equation y=mx+b with an r2 value" mean? In particular, what does "with an r2" mean?
     
  4. Jul 7, 2012 #3
    Hi HallsofIvy!

    like say you insert some data points and then use your calculator to calculate the linear regression. the calculator spits out
    y=0.0283x+0.0012, r2=0.998

    so the r2 is the coefficient of determination
     
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