Allied & ICAR Exam Bank • ALLIED_0098 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Correlation and regression analysis

Question Statement:

If the regression coefficient of $Y$ on $X$ is $b_{yx} = 0.8$ and of $X$ on $Y$ is $b_{xy} = 0.45$, the correlation coefficient $r$ is:

Options:

  • (A) $0.6$
  • (B) $0.36$
  • (C) $0.8$
  • (D) $0.45$

Answer Key:

A

Step-by-Step Solution & Explanation

$r = \sqrt{b_{yx} \cdot b_{xy}} = \sqrt{0.8 \times 0.45} = \sqrt{0.36} = 0.6$.
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