It doesn't have much impact on the reliability of the model, but adds to the noise with unnecessary overfitting. Multicollinearity impacts on your assessment of which factors are really influential. Factors that are redundant should be dropped in good model design. For example, you could come up with a fairly good linear model predicting fuel economy that includes engine capacity and engine weight. But since capacity and weight are correlated one is redundant and should be dropped.
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The difference between multicollinearity and auto correlation is that multicollinearity is a linear relationship between 2 or more explanatory variables in a multiple regression while while auto-correlation is a type of correlation between values of a process at different points in time, as a function of the two times or of the time difference.
A model in which your mother.
Calculus
yes
by figuring out the equation