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Math Help - SST Calculation

  1. #1
    Newbie bradm's Avatar
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    SST Calculation

    Ok, so I am thoroughly confused atm. Right now I am trying to do three things.

    Calculate SS Total, and the explained sum of squared variation for SSR.

    Ok so I had the outputs given to me of

    Sum x = 30
    Sum x squared = 104
    Sum of y = 40
    Sum of y squared - 178
    Sum of x times y = 134

    I used that data to solve and get the following
    SSxy = 14
    SSxx = 14
    b1 = 1
    ybar = 4
    xbar = 3
    b0 = 1
    yhat = 1 + 1x
    Ok so based on this the sqares regression line is 1+x
    so y intercept is 1 and slope is 1

    I calculated sse to be 9...

    When I try and calculate sst which is xbar1-xbar
    I get 10(30-3)^2 = 7290

    Im pretty sure this number is wrong. Can anyone tell me what I am doing wrong?
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  2. #2
    Guy
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    We need to know n, but I guess it is supposed to be 10.

    SS_{total} = \sum Y_i ^ 2 - n \bar{Y}^2 = 178 - 160 = 18 .

    Assuming you calculated SSE correctly, the regression SS is 9.
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  3. #3
    Newbie bradm's Avatar
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    Quote Originally Posted by Guy View Post
    We need to know n, but I guess it is supposed to be 10.

    SS_{total} = \sum Y_i ^ 2 - n \bar{Y}^2 = 178 - 160 = 18 .

    Assuming you calculated SSE correctly, the regression SS is 9.
    Ah ok. Thanks, I didn't have that formula. And yes, N was 10.
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  4. #4
    Guy
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    In nice situations (regression being one) the relevant sums of squares all have easy computational forms that are worth knowing so that you can do problems like this quickly. They all look basically the same as this one does.
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  5. #5
    Newbie bradm's Avatar
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    Quote Originally Posted by Guy View Post
    In nice situations (regression being one) the relevant sums of squares all have easy computational forms that are worth knowing so that you can do problems like this quickly. They all look basically the same as this one does.
    This is kind of a loaded question, but If i wanted to make an anova table out of this and complete the other variables what would be the easiest way to do so?
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