Question:
Correlation coefficient is independent of
Correlation coefficient is independent of
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Correlation coefficient is
\[
\boxed{\text{Independent of change of origin and change of scale.}}
\]
Updated On: Jul 23, 2026
- Sample size
- Change of scale
- Change of origin
- Both change of scale & origin
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The Correct Option is D
Solution and Explanation
The Pearson correlation coefficient is
\[
r=\frac{\operatorname{Cov}(X,Y)}{\sigma_X\sigma_Y}.
\]
It is unaffected by adding or subtracting constants (change of origin) and by multiplying variables by positive constants (change of scale).
Hence,
\[
\boxed{\text{Correlation coefficient is independent of both origin and scale.}}
\]
Therefore,
\[
\boxed{(D)}
\]
is the correct answer.
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