Given that $s _ { x } ^ { 2 } = 500 , s _ { y } ^ { 2 } = 750 , \operatorname { cov } ( x , y ) = 100$ and n = 6, the standard error of estimate is:
A)3,749.00
B)937.25
C)30.61
D)None of these choices.

Question

Quizplus · Accepted Answer

The standard error of estimate is calculated using the formula: $\sqrt{s_y^2(1-r^2)}$, where $r = \frac{\text{cov}(x, y)}{s_x s_y}$. First, calculate $s_x = \sqrt{500}$ and $s_y = \sqrt{750}$. Then, find $r$ and substitute into the formula to get the standard error of estimate.

Given That sx2=500,sy2=750,cov⁡(x,y)=100s _ { x } ^ { 2 } = 500 , s _ { y } ^ { 2 } = 750 , \operatorname { cov } ( x , y ) = 100sx2​=500,sy2​=750,cov(x,y)=100

Given That $s _ { x } ^ { 2 } = 500 , s _ { y } ^ { 2 } = 750 , \operatorname { cov } ( x , y ) = 100$