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The two regression lines coincide when
Ar = 0
Bb_xy = 0
Cb_yx = 0
D|r| = 1
Answer & Solution
Correct answer: D. |r| = 1
1. When |r| = 1 there is perfect linear association.
2. The two regression lines (Y on X and X on Y) coincide into a single line.
3. If r = 0 the lines are perpendicular through the means.
4. Hence (B) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.3 ¶§5.3_
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