Data Generation with Requirement

[awaludin]

Dear All
I need to generate data for my research. Let I have a linear equation with 3 independent variables and 1 dependent variable
a0x0 + a1x1 + a3x3 = y
I want each of my variable(x0, x1, x2) has a defined R2 (r square) with y. Let x0-y = 0.8, x1-y = 0.9, x2-y = 0.85. Any reference how to do this? Thank you.

 

[quantumdude]

What are your thoughts on the matter? You need to show that you've attempted the problem first!

 

[awaludin]

My first thought was to create a data of a line and add some disturbance on it. Different disturbance, different variable. Let say that the line data + random disturbance = x0, the line data + sine disturbance = x1. I can get a different r square, but I still don't know how to control the value of r square.