Question

For two variables x and y, if σx = 5, r = `(−1)/2, byx = (−2)/7` then find the value of σy.

Answer 1

Given

σx = 5

r = `(−1)/2`

b_yx = `(−2)/7`

The regression coefficient b_yx is given by:

`b_(yx) = r × (σy)/(σx)`

Substitute the given values into the formula:

`−2/7 = (−1/2) × (σy)/5`

Multiply both sides by − 1:

`2/7 = (σy)/10`

σ_y = `(2 × 10)/7`

σ_y = `20/7` or σ_{y =} 2.86