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WAEC Further Mathematics 2012 Question 20

Question 20

Statistics

If r denotes the correlation co-efficient between two variables, which of the following is always true?

  1. A.0 < r ≤ 1
  2. B.−1 ≤ r1
  3. C.−1 < r ≤ 0
  4. D.−1 ≤ r ≤ 1
Show the answer and explanation

Answer: D (−1 ≤ r ≤ 1)

Explanation

A correlation coefficient can never be below −1 or above 1, and it can take either end value, so −1 ≤ r ≤ 1.