NIMCET Correlation And Regression Previous Year Questions (PYQs)
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Regression lines:
$3x+2y=26$, $6x+y=31$
Correlation between $x,y$ is
1
2
3
4
Solution
Slope of line of $y$ on $x$:
$3x+2y=26 \Rightarrow y=-\dfrac{3}{2}x+13$
Slope of line of $x$ on $y$:
$6x+y=31 \Rightarrow x=-\dfrac{1}{6}y+\dfrac{31}{6}$
Product of slopes $=r^{2}$ with sign of slopes:
$r=\sqrt{(-3/2)\cdot(-1/6)}$
$=\sqrt{1/4}$
$=1/2$
Both slopes negative ⇒ $r$ negative.
Both slopes negative ⇒ $r$ negative.
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