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Situation when there is strong linear relationship among predictor variables, so that their correlation matrix becomes (almost) singular. This "ill condition" makes it hard to determine the unique role each of the predictors is playing: estimation problems arise and standard errors are increased. Bivariately very high correlated predictors are one example of multicollinearity.
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A question about regression with highly correlated variables
Collinearities are not a problem in all regression techniques, you know...
You may want to check out component-based options (e.g. principle component regression or PLS regression) where you can reduc …