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Discussion

Read the statements given below and select the correct option ?

(1) Strong correlation is when the values are close to '+1'
(2) The value of '0' (zero) represents no correlation
(3) The value close to '−1' represents weak correlation

  • A.Only statement (1) is true
  • B.Only statement (3) is true
  • C.Statements (1) and (2) are true but (3) is false
  • D.Statements (1), (2) and (3) are true

Answer: C

Statements (1) and (2) are true and (3) is false, so the answer is Statements (1) and (2) are true but (3) is false.

The correlation coefficient r runs from −1 to +1. A value close to +1 is a strong positive correlation (1), and a value of 0 means no linear correlation (2).

Statement (3) is false: a value close to −1 is a strong negative correlation, not a weak one. The sign gives only the direction of the relationship; its strength depends on how close the value is to 1 in either direction. That rules out the options accepting (3) or rejecting (2).

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