Which of the following are not the property/ies of correlation coefficient? (A) r is independent of the choice of origin (B) r is independent of scale (C) r lies between –1 and +1 (D) r = + 1.0 indicates a perfectly negative correlation (E) r = –1.0 indicates a perfectly positive correlation Choose the correct answer from the options given below:

Which of the following are not the property/ies of correlation coefficient? (A) r is independent of the choice of origin (B) r is independent of scale (C) r lies between –1 and +1 (D) r = + 1.0 indicates a perfectly negative correlation (E) r = –1.0 indicates a perfectly positive correlation Choose the correct answer from the options given below: Correct Answer (D) and (E) only

Correct Answer: ​(D) and (E) only.

Key Points

  • The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
  • The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.
  • Correlation coefficients are used to measure the strength of the relationship between two variables.
  • Pearson correlation is the one most commonly used in statistics. This measures the strength and direction of a linear relationship between two variables.
  • Values always range between -1 (strong negative relationship) and +1 (strong positive relationship). Values at or close to zero imply a weak or no linear relationship.
  • Correlation coefficient values less than +0.8 or greater than -0.8 are not considered significant.

Important Points

  • The correlation coefficient describes how one variable moves in relation to another.
  • A positive correlation indicates that the two move in the same direction, with a +1.0 correlation when they move in tandem.
  • A negative correlation coefficient tells you that they instead move in opposite directions.
  • A correlation of zero suggests no correlation at all.​​​

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