he correlation coefficient between x and y is -1/2. The value of bxy = -1/ 8.Find byx.(a) -2(b) -4(c) 0(d) 2
Question
The correlation coefficient between x and y is -1/2. The value of bxy = -1/8. Find byx.
Options:
- (a) -2
- (b) -4
- (c) 0
- (d) 2
Solution
The correlation coefficient between x and y is given by rxy = -1/2. The regression coefficient of y on x is given by bxy = -1/8.
The regression coefficient of x on y (byx) can be calculated using the formula:
byx = rxy * (Sx/Sy)
Where Sx is the standard deviation of x and Sy is the standard deviation of y.
However, we don't have the values of Sx and Sy. But we know that:
bxy = rxy * (Sy/Sx)
So we can rearrange this equation to find byx:
byx = rxy / bxy
Substituting the given values:
byx = (-1/2) / (-1/8) = 4
So, the answer is (b) -4.
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