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For a perfect correlation between the variables $x$ and $y$ the line of regression is $ ax+by+c=0$ where $a,b,c > 0$ then $ r$ is

$\begin {array} {1 1} (A)\;0 & \quad (B)\;-1 \\ (C)\;1 & \quad (D)\;None \: of \: these \end {array}$

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1 Answer

$ ax+by+c=0$ has slope $ -\large\frac{a}{b} <0$
So the two variables are in perfect negative correlation
Hence $ r = -1$
Ans : (B)
answered Feb 1, 2014 by thanvigandhi_1
 

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