What is the difference, if any, between orthogonal and uncorrelated sets?
Does a cosine similarity of zero mean that sets are uncorrelated? Explain.
Are the following orthogonal, uncorrelated, or both? Why?
Set A = [1,-5,3,-1]
Set B = [5,1,1,3]
Pearson's Correlation Coefficient, r, is the cosine similarity between a pair of mean-centered variables. Because cosines are not additive, Pearson's r cannot be arithmetically averaged. Calculate Pearson's r from two data sets.