Home › CA Foundation › Quantitative Aptitude › Correlation and Regression › Karl Pearson's r is unaffected by
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_
Related questions
The side opposite one acute angle of a right triangle is, for the other angle, the:Cosecant, secant and cotangent are described as the reciprocals of the:Tangent is the ratio of the opposite side to which side?Positive reference angles have terminal sides lying in which quadrant?A reference angle is the smallest positive acute angle formed with which axis?One radian is the central angle intercepting an arc equal in length to the:Cosine is the ratio of the hypotenuse and which side?How many coterminal angles does any angle have?