The variable y is calculated by multiplying the variable of x by 2. There is a third variable (variable z), and it is known that the correlation of z with x is .45. What is the correlation of z with y

The correlation between two variables, let's say A and B, is given by:

In our case, we know that:

y = 2*x

And:

r(X, Z) = 0.45

Then:

Now we want to find:

r(Y, Z)

Let's start with r(X, Z)

We know that:

X = Y/2

Then we can replace that in the correlation equation:

And in the third part, we have r(Y,Z), then:

The correlation of z with y is 0.45

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857