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Which value of correlation coefficient (r) suggests strongest correlation amongst the following ?

  • A.r = 0
  • B.r = 0.25
  • C.r = 0.75
  • D.r = −1

Answer: D

The strongest correlation is r = −1.

The strength of a correlation is given by the absolute value of r, which runs from 0 (no linear relationship) to 1 (a perfect linear relationship). The sign gives only the direction: positive when the variables rise together, negative when one rises as the other falls. r = −1 is a perfect negative correlation, with all points exactly on a falling straight line.

r = 0 means no linear correlation, r = 0.25 a weak positive one, and r = 0.75 a fairly strong positive one, but all are weaker than |−1| = 1.

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