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The point of intersection of the two regression lines is
A(0, 0)
B(median of X, median of Y)
C(mean of X, mean of Y)
D(mode of X, mode of Y)
Answer & Solution
Correct answer: C. (mean of X, mean of Y)
1. Both regression lines pass through the point (x̄, ȳ).
2. This is because each line is least-squares fitted through the centroid.
3. Setting x = x̄ in either line gives y = ȳ.
4. Hence (C) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.3 ¶§5.3_