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If x̄ = 4 and ȳ = 6, the centroid of the data lies at
A(2, 3)
B(6, 4)
C(0, 0)
D(4, 6)
Answer & Solution
Correct answer: D. (4, 6)
1. The centroid (mean-point) of a bivariate dataset is (x̄, ȳ).
2. With x̄ = 4 and ȳ = 6, the centroid is (4, 6).
3. Both regression lines pass through this point.
4. Hence (A) is correct.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.3 ¶§5.3_