For the following data, (i) the regression equation of X on Y regression equation of Y on X (iii) the correlation co-efficient between X and Y (iv) the value of x when y=5 (v) the value of y when x=6

Ten competitors in a musical test were ranked by the judges x, y, and z in the following order.

Rank by x	1	6	5	10	3	2	4	9	7	8
Rank by y	3	5	8	4	7	10	2	1	6	9
Rank by z	6	4	9	8	1	2	3	10	5	7

Out the following two regression lines, find the line of regression of X on Y, 2x+3y=7 and 5x+54=9.

For the following observations, find the regression co-efficient b_yx and b_xy and hence find the correlation co-efficient (4,2)(2,3)(3,2)(4,4)(2,4).

You are given the following data:

Series	x	y
Mean	18	100
S.D	14	20

Correlation co-efficient between x and y=0.8 (i) Find the two regression lines.
(ii) Estimate the value of y, when x=70  (iii)Estimate the value of x, when y=90