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LINEAR REGRASSION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsLINEAR REGRASSION3 Marks
Question
State properties of regression co-efficient. Also state the point through which a regression line always passes.
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Answer

1. $ r $ and $ b_{yx} $ always have the same sign.
2. It is independent of change of origin but not scale.
3. $ b_{yx} = r \cdot \frac{S_{y}}{S_{x}} $.
The regression line always passes through the point $ (\overline{x}, \overline{y}) $.

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