Discussion
In a simple regression analysis of y on x, the standard error of estimate of y on x, \(S_{yx}\) = 5, number of observations N is 30, and \(\sum y^{2}\) = 2000. The unexplained variance is
Answer: B
The unexplained variation is the standard error of estimate squared multiplied by the number of observations.
\[ \sum (y - \hat{y})^2 = N \, S_{yx}^2 \]
\[ = 30 \times 25 = 750 \]
So the unexplained variance is 750, option B. The explained part is the remainder of the 2000.
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