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Karl Pearson's r is unaffected by
AChange of origin only
BChange of scale only
CChange of origin and scale
DNone of the above
Answer & Solution
Correct answer: C. Change of origin and scale
1. Add or subtract a constant: covariance unchanged, variances unchanged.
2. Multiply by a positive constant: both covariance and product of std-devs scale equally, ratio is constant.
3. So r is invariant under linear transformations with positive scale.
4. Hence r is unaffected by change of origin and scale.
_Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.7_
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