Is anyone familiar with the formula for the sum of squares error and how to apply it using the numbers given? Looking online, the formulas I found didn't seem to apply well so I'm wondering if this is a multi-step type of problem.
Thanks!
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1 Answer
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No, actually it's very easy. you should compare the formula of $s^2$ (only $s$ is given in your exercize) to the one of SSE.
The solution is:
$s^2 \cdot (120-2) = 32214737.5$
In your text it is reported rounded to unit.
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$\begingroup$ I just realized there is enough information to compute it also from s.d. of y and R2 $\endgroup$– carloCommented Nov 7, 2019 at 20:57
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$\begingroup$ Thank you! So the formula would be S^2*(n-2) = SSE? How would you compute it with s.d of y and R2? $\endgroup$– AnthonyCommented Nov 7, 2019 at 23:51
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$\begingroup$ Yes, 2 there is the number of degrees of freedom. Actually, $s^2$ is computed starting from SSE, so that formula is the reverse of what you will generally find. Also $R^2$ is computed from proportion of SS of y and SSE, so you can find SSE reversing the formula of $R^2$: $s_y^2(n-1)(1-R^2)=SSE$ $\endgroup$– carloCommented Nov 8, 2019 at 12:05
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$\begingroup$ you are welcome! would you mark the answer as acepted? $\endgroup$– carloCommented Nov 8, 2019 at 13:30