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CA Foundation · Quantitative Aptitude · Correlation and Regression

Which of the following cannot be a value of Karl Pearson's coefficient of correlation between two variables?

The value 1.20 cannot be a Karl Pearson correlation coefficient because r is bounded between -1 and +1. Values such as -1, 0 and 0.98 are all permissible, whereas anything above 1 or below -1 signals a calculation mistake.

  1. A-1
  2. B0
  3. C0.98
  4. D1.20Correct

Explanation

Karl Pearson's coefficient always lies between -1 and +1 inclusive. The values -1, 0 and 0.98 are all within this range. The value 1.20 lies outside it, so it must come from a computational error.

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