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Linear Regression (p-2) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Linear Regression (p-2)1 Mark
Question
If $b_{yx} = -0.6$ and $b_{xy} = -0.216$ then find correlation coefficient between $X$ and $Y$ comment on it.
✓

Answer

$
\begin{aligned}
& r^2=b_{y x} \cdot b_{x y} \\
& r^2=-0.6 \times-0.216 \\
& r^2=0.1296 \\
& r= \pm \sqrt{ } 0.1296 \\
& r= \pm 0.36
\end{aligned}
$
Since $b_{y x}$ and $b_{x y}$ are negative
$
r=-0.36
$

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