Question Bank • QB_SUB_EM_0157 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Mean, median, mode and standard deviation

Question Statement:

If the correlation coefficient between two variables $X$ and $Y$ is $r = -1$, it indicates:

Options:

  • (A) A perfect negative linear relationship
  • (B) Zero correlation
  • (C) A perfect positive linear relationship
  • (D) Non-linear parabolic relationship

Answer Key:

A

Step-by-Step Solution & Explanation

$r = -1$ signifies a perfect inverse linear relationship where every increase in $X$ corresponds to a proportional decrease in $Y$.
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