Question
Download Solution PDFIf the regression coefficient of Y on X is -8 and the correlation coefficient between X and Y is - \(1\over 4\), then the regression coefficient of X on Y will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Coefficient of correlation \(\rm = r = \sqrt{(b_{yx}×b_{xy} ) }\)
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 = - \(1\over 4\)
We know that, r = √(byx × bxy)
∴ - \(1\over 4\) = √(- 8 × bxy)
Squaring both sides we get,
\(1\over 16\) = -8 × bxy
∴ bxy = - \(1\over 128\)
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