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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
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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.

This problem has been solved

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