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Can r lie outside the –1 and 1 range depending on the type of data? - Economics

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Question

Can r lie outside the –1 and 1 range depending on the type of data? 

Short Note

Solution

No, the value of r cannot lie outside the range of -1 to 1. If r = -1, then there exists a perfect negative correlation, and if r = 1, then there exists a perfect positive correlation between the two variables. If at any point in time the calculated value of r is outside this range, then there must be some mistake committed in the calculation.  

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Types of Correlation
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Chapter 7: Correlation - Exercise [Page 105]

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NCERT Statistics for Economics [English]
Chapter 7 Correlation
Exercise | Q 8. | Page 105
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