If the regression coefficient of Y on X is -8 and the correlation coefficient between X and Y is - 14, then the regression coefficient of X on Y will be

  1.  - 1128
  2.  - 116
  3. 116
  4. 1128

Answer (Detailed Solution Below)

Option 1 :  - 1128
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Detailed Solution

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Concept:

Coefficient of correlation =r=(byx×bxy)

Where byx and bxy are regression coefficients or the slopes of the equation y on x and x on y are denoted as byx and bxy

Calculation:

Given byx = - 8

r = - 14

We know that, r = √(byx × bxy)

∴ - 14 = √(- 8 × bxy)

Squaring both sides we get,

116 = -8 × bxy

∴ bxy = - 1128

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