Question

xii) If u = 3x + 1, v= y +2 and rxy = 0.6 then ruv will be :​

Answer 1

Step-by-step explanation:

or r(x, y) or ρ (x, y) or ρ .

PROPERTIES OF COEFFICIENT OF CORRELATION

1. It is a measure of the closeness of a fit in a relative sense.

2. Correlation coefficient lies between -1 and + 1, i.e., - 1  r  1.

3. The correlation is perfect and positive if r = 1 and it is perfrct and negative if r = -1

4. If r = 0, then there is no correlation between the two variables and thus the variables are

said to be independent

5. The correlation coefficient is a pure number and is not affected by a change of origin and

scale in magnitude.

This property states that if the original pair of variables x andy is changed to a new pair of

variables u and v by affecting a change of origin and scale for both x and y i.e.

b

x a

u



 or

x a

b b

u   ; and

y c

v

d



 or  

y c

v

d d

where a and c are the origins of x and y and b and d are respective scales and then we have:

xy uv

bd

| b | | d |

r r  ...(A)

r

xy

and r

uv

being the coefficient of correlation between ‘x and y’ and ‘u and v’ respectively,

The equation (A) shows that numerically, the two correlation coef