Mar 5, 2016 · A two-sentence answer: the clearest case of uncorrelated statistical dependence is a non-linear function of a RV, say Y = X^n. The two RVs are clearly dependent but yet not correlated, …

Nov 10, 2018 · However, two variables that are uncorrelated AND jointly normally distributed are guaranteed to be independent. Can someone explain intuitively why this is true?

Oct 10, 2015 · In the simple linear regression model, y=a+bx+e, e is assumed to be uncorrelated. Accordingly, y is uncorrelated. I understand that two variables are uncorrelated if their covariance is …

In practice, how to clearly prove that variables are uncorrelated? Ask Question Asked 9 years, 7 months ago Modified 9 years, 7 months ago

Sep 7, 2015 · The vector is no longer orthogonal to Y. If two variables are uncorrelated they are orthogonal and if two variables are orthogonal, they are uncorrelated. Correlation and orthogonality …

Sep 9, 2017 · Being uncorrelated is a necessary but not sufficient condition for being independent. So if two variables $X$ and $Y$ are uncorrelated but dependent, then $f (X)$ and $g (Y)$ may be correlated.

May 26, 2015 · Why are principal component scores uncorrelated? Ask Question Asked 10 years, 6 months ago Modified 10 years, 6 months ago

Oct 31, 2022 · In a probability and statistics class, we are often told about the requirement of residuals being uncorrelated when fitting a regression model. We are often told that the reason for this …

Apr 11, 2017 · 14 I'm reading up on PCA, and I'm understanding most of what's going on in terms of the derivation apart from the assumption that eigenvectors need to be orthogonal and how it relates to …

What does it mean for two variables to be uncorrelated? How is it possible for two variables to be strongly related but still uncorrelated [duplicate] Ask Question Asked 12 years, 9 months ago …