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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Statistics

NDA 2018 · Mathematics · Statistics

If the regression coefficient of Y on X is -6 , and the correlation...

If the regression coefficient of YY on XX is -6 , and the correlation coefficient between X and Y is −12-\frac{1}{2}, then the regression coefficient of XX on YY would be

Options

  1. A124\frac{1}{24}
  2. B−124-\frac{1}{24}
  3. C−16-\frac{1}{6}
  4. D16\frac{1}{6}

Correct answer

B. −124-\frac{1}{24}

Step-by-step solution

byx=−6,r=−12(−12)2=−6×bxy⇒bxy=−124\begin{aligned} & \quad b_{y x}=-6, r=-\frac{1}{2} \\ & \quad\left(-\frac{1}{2}\right)^2=-6 \times b_{x y} \\ & \Rightarrow \quad b_{x y}=-\frac{1}{24}\end{aligned}
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