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Solve the following.
For two variables x and y, if σ_x = 5, r = (-1)/2, b_(yx) = (-2)/7 then find the value of σ_y.
For two variables $x$ and $y$, if $\sigma_x = 5$, $r = \frac{-1}{2}$, $b_{yx} = \frac{-2}{7}$ then find the value of $\sigma_y$.
Answer
Answer
$b_{yx} = r\frac{\sigma_y}{\sigma_x} \Rightarrow -\frac{2}{7} = -\frac{1}{2}\cdot\frac{\sigma_y}{5}$.
$\sigma_y = \frac{2}{7}\cdot 2\cdot 5 = \frac{20}{7}$.
Final answer: $\frac{20}{7}$