Match List-I with List-II and select the correct answer List-I List-II...

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Match List-I with List-II and select the correct answer:

List-I List-II

a. Coefficient of determination 1. $${\gamma _{xy}}\frac{{{\sigma _x}}}{{{\sigma _y}}}$$

b. Spearman's rank correlation coefficient 2. $$1 - \frac{{6\sum {{d^2}} }}{{n\left( {{n^2} - 1} \right)}}$$

c. Regression coefficient of $$x$$ on $$y$$ variable 3. $$\frac{{\sum {xy} }}{{n\,{\sigma _x}\,{\sigma _y}}}$$

d. Karl Pearson's formula of calculating $$\gamma $$ 4. $${\gamma ^2}$$

A. a-1, b-2, c-3, d-4

B. a-1, b-4, c-2, d-3

C. a-4, b-3, c-2, d-1

D. a-3, b-2, c-4, d-1

Answer: Option C

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Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one.
Reason (R): The geometric mean between two regression coefficients is the coefficient of correlation.

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List-I	List-II
a. Coefficient of determination	1. $${\gamma _{xy}}\frac{{{\sigma _x}}}{{{\sigma _y}}}$$
b. Spearman's rank correlation coefficient	2. $$1 - \frac{{6\sum {{d^2}} }}{{n\left( {{n^2} - 1} \right)}}$$
c. Regression coefficient of $$x$$ on $$y$$ variable	3. $$\frac{{\sum {xy} }}{{n\,{\sigma _x}\,{\sigma _y}}}$$
d. Karl Pearson's formula of calculating $$\gamma $$	4. $${\gamma ^2}$$