Question
\begin{align}
\text { For a bivariate data } \bar{x}=53, \bar{y}=28, \mathrm{~b}_{\mathrm{yx}}=-1.5 \text { and } \mathrm{b}_{\mathrm{xy}}=-0.2 \text {. Estimate } \mathrm{Y} \text { when } \mathrm{X}=50 \text {. }
\end{align}

Answer

Regression equation of $\mathrm{Y}$ on $\mathrm{X}$ is
$
\begin{aligned}
& (Y-\bar{y})=b_{y x}(X-\bar{x}) \\
& (Y-28)=-1.5(50-53) \\
& Y-28=-1.5(-3) \\
& Y-28=4.5 \\
& Y=32.5
\end{aligned}
$

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