The values in one of the series in a bivariate data set are multiplied by a constant K, which of the following would change as a result of this A. Karl Pearson's coefficient of correlation B. Standard deviation C. Covariance between the variables D. Rank correlation coefficient Choose the correct answer from the options given below:?

Option 2 : B and C only

The correct answer is B and C only.

The values in one of the series in a bivariate data set are multiplied by a constant K, Standard deviation and covariance between the variables would change because standard deviation and covariance are dependent on scale, that is why the value of standard deviation and covariance will change after multiplying by a constant K and correlation is independent of scale that's why it will not change.

Important Point

 Change of Origin: It means some value is added or subtracted to the value of the origin. For example : If the value of Standard Deviation is 10 and as the value of standard deviation is not dependent of origin so if any value is added to the variables the value of 10 will remain constant.

Change of Scale: It means some value is multiplied or divided to the value. For Example;  If the value of Standard Deviation is 10 and as the value of standard deviation is dependent on scale so if any value is multiplied or divided to the variables, it will also change.