Allied & ICAR Exam Bank • ALLIED_2752 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Correlation and regression analysis

Question Statement:

The two regression lines intersect at the point:

Options:

  • (A) $(\bar{x}, \bar{y})$ (the means of $X$ and $Y$)
  • (B) $(0, 0)$
  • (C) $(\sigma_x, \sigma_y)$
  • (D) $(1, 1)$

Answer Key:

A

Step-by-Step Solution & Explanation

Both regression lines $y - \bar{y} = b_{yx}(x - \bar{x})$ and $x - \bar{x} = b_{xy}(y - \bar{y})$ pass through the point of means $(\bar{x}, \bar{y})$.
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