If this condition fails this is called the multicollinearity in the regressors.
From the en.wikipedia.org
Disintermediated, multicollinearity and additionality spring to mind immediately and none are recognised by my spellchecker, let alone the casual observer.
From the guardian.co.uk
The resulting estimators generally have lower mean squared error than the OLS estimates, particularly when multicollinearity is present.
From the en.wikipedia.org
In previous studies, Rahbar said that because of the statistical models used, it was hard to assess both maternal and fraternal age as joint risk factors, a problem called multicollinearity.
From the sciencedaily.com
A dummy variable trap is a situation where there is perfect collinearity or perfect multicollinearity between the variables, i.e., there would be an exact linear relationship among the variables.
From the en.wikipedia.org
More examples
A case of multiple regression in which the predictor variables are themselves highly correlated
In a multiple regression with more than one X variable, two or more X variables are collinear if they are nearly linear combinations of each other. Multicollinearity can make the calculations required for the regression unstable, or even impossible. ...
Multicollinearity is a statistical term for a problem that is common in technical analysis. That is, when one unknowingly uses the same type of information more than once. One needs to be careful and not utilize technical indicators that reveal the same type of information. ...
Is a statistical term for the existence of a high degree of linear correlation amongst two or more explanatory variables in a multiple regression model. In the presence of multicollinearity, it is difficult to assess the effect of the independent variables on the dependent variable.
In multivariate analyses, some of the independent variables may be correlated with each other. This condition is referred to as multicollinearity.