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

sine

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05