Data Generation with Requirement

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SUMMARY

The discussion focuses on generating data for a linear equation with three independent variables (x0, x1, x2) and one dependent variable (y) while achieving specific R² values (0.8 for x0, 0.9 for x1, and 0.85 for x2). The user proposes creating a linear dataset with added disturbances to manipulate the R² values. However, they seek guidance on how to effectively control and achieve the desired R² values in their generated data.

PREREQUISITES
  • Understanding of linear regression and R² values
  • Familiarity with data generation techniques
  • Knowledge of statistical disturbances and their effects on data
  • Experience with programming tools for data manipulation, such as Python or R
NEXT STEPS
  • Research methods for controlling R² values in generated datasets
  • Explore Python libraries such as NumPy and Pandas for data generation
  • Learn about statistical disturbances and their impact on regression analysis
  • Investigate the use of simulation techniques for data generation
USEFUL FOR

Researchers, data scientists, and statisticians involved in data generation and analysis, particularly those focusing on linear regression and R² optimization.

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

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