Mean (*x*) =

= 494/10

= 49.4

here

hence r = 0, therefore there is no linear correlation.

but sign of is same as the sign of

therefore,

we have x + 4y = 3 and 3x + y = 15 as the lines of regression of y on x and x on y respectively.

therfore, for y = 3 the required line is x on y

so put y= 3 in 3x + y = 15

we get, x = 4

Let other two numbers be *x *and *y *

Mean (*x*) = 4.4 =

this gives ......(1)

Also, * ........*(2)

Therefore from (1) and (2)

x = 9 and * y = 4*

comparinf the given equation with ax + by + c= 0

a = -4, b =1 and c= -3

so ab < 0

hence,

so a perfect positive correlation.

use,r(x,y)=1n∑i=1n(Xi−X¯)(Yi−Y¯)1n∑i=1n(Xi−X¯)2√1n∑i=1n(Yi−Y¯)2√

No Explaination.

its a standard result