|
eg. y = -1,-2,-3,-4 x = 1,2,3,4.0000001 y+x = 0,0,0,0.0000001=z
clearly y ~ -x hence, correlation cofficent of y and x close to 1
but we can not represent z as a linear function of x
so correlation coffient reduce
now try another example
x = y z= y+x
imples z = 1/2 * x so the correlation coffient between y and x
and
x and z equal to 1
|