Allied & ICAR Exam Bank • ALLIED_0090 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Correlation and regression analysis

Question Statement:

The Pearson correlation coefficient $r$ between two variables $X$ and $Y$ always lies in the range:

Options:

  • (A) $-1 \le r \le 1$
  • (B) $0 \le r \le 1$
  • (C) $-\infty < r < \infty$
  • (D) $-0.5 \le r \le 0.5$

Answer Key:

A

Step-by-Step Solution & Explanation

By Cauchy-Schwarz inequality, Pearson's correlation coefficient satisfies $-1 \le r \le 1$.
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