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 $S _ { \varepsilon } = \sqrt{(1 - r^2) \cdot s_y^2}$, where $r = \frac{cov(x,y)}{\sqrt{s_x^2 \cdot s_y^2}}$. Calculating $r$ and substituting into the formula does not yield 2.75.

Given That Cov(x,y) = 10 sy2s _ { y } ^ { 2 }sy2​

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