Given that cov(x,y) = 10, $$S _ { y } ^ { 2 }$$ = 15, $$S _ { x } ^ { 2 }$$ = 8 and n = 12, the value of the standard error of estimate, $$S _ { \varepsilon }$$ , is 2.75.

Question

Quizplus · Accepted Answer

The standard error of estimate, $$S _ { \varepsilon }$$, is calculated using the formula $\sqrt{S_y^2(1-r^2)}$, where $r = \frac{cov(x,y)}{\sqrt{S_x^2 \cdot S_y^2}}$. Calculating $r$ and substituting into the formula will not yield 2.75.

Given That Cov(x,y) = 10 Sy2S _ { y } ^ { 2 }Sy2​

Given That Cov(x,y) = 10 $S _ { y } ^ { 2 }$