I was able to create the uniform variables X and W , both with normal distribution, through the formula rnorm and R . However, I wanted to create the variables so that they had a -0.8 correlation value.
What command is used for this?
There are at least two ways to do this:
Since the two variables are Normal, you can use the mvrnorm() function of the MASS package.
Another option is to follow these instructions:
# gerar dois vetores N(0,1), independentes
z1 = rnorm(100)
z2 = rnorm(100)
rho = -0.8 # o coeficiente de correlacao
e1 = z1
e2 = rho*z1+sqrt(1-rho^2)*z2
cor(e1,e2) # aproximadamente -0.8
Note however that solution 2 should be adapted if it is desired that the vectors e1 and e2 have means different from 0.
The original question does not make it clear whether the X and W vectors follow the uniform or normal distribution; my answer assumes it's the 2nd case.