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Math Help - Regression in Statistics Question

  1. #1
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    Feb 2011
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    Regression in Statistics Question

    For a multiple regression model, SST = 189, and SSE = 30, then the proportion of the total variation in the observed ys that is not explained by the model is?

    Please show work + answer.

    I've tried different formulas such as sst - sse and found a site saying ss/sst

    Can someone please help here?

    Thanks
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  2. #2
    Senior Member
    Joined
    Oct 2009
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    You should say what SST and SSE are. Better notation is something like SS(Total) and SS(Error), which is what I'm assuming those two stand for - SST is also sometimes used as SS(Treatments).

    \displaystyle<br />
\underbrace{SS(\mbox{Total})}_{\mbox{Total Variability}}<br />
=<br />
\underbrace{SS(\mbox{Error})}_{\mbox{Unexplained Variability}}<br />
+<br />
\underbrace{SS(\mbox{Regression})}_{\mbox{Explaine  d Variability}}<br />
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  3. #3
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    Oct 2010
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    I looked at the question and even I'm confused. Wouldn't the unexplained part of the model be SSE? The explained variation of the model is SSR.
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