There is a very high inverse relationship between measures of ‘Overweight’ and ‘life expectancy’. Which one of the following value of the coefficient of correlation is consistent with the statement ?

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UGC Paper 2: Commerce July 2018
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  1. 0.80
  2. 0.20
  3. -0.20
  4. -0.80

Answer (Detailed Solution Below)

Option 4 : -0.80
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Negative correlation:

  1. The negative correlation indicates that as the values of one variable increase the values on another variable decrease.
  2. Similarly, as the values on one variable decrease the values on the other variable increase.
  3. It means that both the variables move in opposite directions.
  4. For example, as weight increases, life expectancy decreases due to problems like cholesterol, blood pressure, heart blockages, etc. In statistics, a perfect negative correlation is represented by the value -1. 

Since there is a very high inverse relationship, the value of the coefficient of correlation will be - 0.80.

Thus, option 4 is the correct answer.

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