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If r = 0, the regression coefficients are
ABoth 1
BBoth 0
CBoth equal
DCannot be determined
Answer & Solution
Correct answer: B. Both 0
1. b_yx = r × (σ_y/σ_x) and b_xy = r × (σ_x/σ_y).
2. If r = 0, both expressions become 0.
3. Means the regression lines are parallel to the axes through the means.
4. Hence (B) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.2 ¶§5.2_
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