There is a nearly-realistic distribution for which the Partial Correlation between two variables does not change at all when you change the values imposed on all the other variables, and that is the multinormal distribution.
Partial Correlation. A correlation between two variables that remains after controlling for (e.g., partialling out) one or more other variables.
Pearson product-moment correlation Â- Partial correlation Â- Confounding variable Â- Coefficient of determination
Linear regression
Simple linear regression Â- Ordinary least squares Â- General linear model Â- Bayesian regression ...
 See also: Regression, Variance, Distribution, Correlation coefficient, Data mining
  
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