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Question: Answered & Verified by Expert
The regression coefficients of a bivariate distribution are $=0.64$ and $-0.36$. Then the correlation coefficient of the distribution is $\quad$
MathematicsStatisticsNDANDA 2015 (Phase 2)
Options:
  • A $0.48$
  • B $-0.48$
  • C $0.50$
  • D $-0.50$
Solution:
2632 Upvotes Verified Answer
The correct answer is: $-0.48$
Let $\mathrm{b}_{1}$ $b_{2}=-0.36$
$r=\pm \sqrt{-0.64 \times-0.36}=\pm 0.48$
$\mathrm{b}_{1} < 0 \& \mathrm{~b}_{2}$
$ < 0$
ㄹ $\mathrm{r}=-0.48$

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