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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Statistics
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The two lines of regression are $ x+2y-5=0$ and $ x+3y-8=0$. The coefficient of correlation between $x$ and $y$ is

$\begin {array} {1 1} (A)\;-0.82 & \quad (B)\;0.82 \\ (C)\;-0.72 & \quad (D)\;0.76 \end {array}$

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1 Answer

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$ x=-2y+5$
$ \Rightarrow r_1 = -2$
$ y = -\large\frac{1}{3}x+\large\frac{8}{3}$
$ r_2= -\large\frac{1}{3}$
$ r^2=r_1 \times r_2$
$ r^2 = -2 \times -\large\frac{1}{3}$
$ = \large\frac{2}{3}$
$ r = -0.82$
Ans : (A)
answered Jan 28, 2014 by thanvigandhi_1
 

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