Introduction to Statistical Methods and Econometrics — Economics STD 12 — Question
Tamilnadu BoardEnglish MediumSTD 12EconomicsIntroduction to Statistical Methods and Econometrics5 Marks
Question
Explain Fit the Regression equation on [Y on X]?
✓
Answer
The regression $Y$ on $X$ is
$( Y -\bar{Y}) r = r \times \frac{\sigma x}{\sigma y} \times( X -\bar{X})$
Given $\bar{X}=12, \bar{Y}=10$
$r=0.85, \sigma x=0.1 \text { and } \sigma y=0.2$
Then substituting the values in formula
$(Y-10)=0.85 \times(0.2 / 0.1) \times(X-12)$
$(Y-10)=0.85 \times(2) \times(X-12)$
$Y=1.7 \times(X-12)+10$
$Y=1.7 X-20.4+10$
$Y=1.7 X-10.4$
$Y \text { on } X$
$Y=1.7 X-10.4$
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