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Discuss the following statements and explain why they are true or false: a) Sum _of eigen values is equal to the number of predictor variables. b) Multicollinearity affects the interpretation of the regression coefficients c) The variance inflation factor of /.) depends on the R2 of the regression of the response variable Y on the regressor variable Xi




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Answered Same DayDec 21, 2021

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David answered on Dec 21 2021
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Multicollinearity- What is it, its impact, diagnostics for identification and remedies
It is a phe
nomena in statistics where two or more predictor variables of a multiple regression are
highly linearly related. It is a situation where the co-efficient estimates show an erratic response on
small changes in the model or data. It does not reduce the reliability or predictive power of model, it
only alters the calculations regarding individual predictors.
We get perfect multicollinearity if, the correlation among two independent variables is either 1 or -1.
It happens because of following reasons:-
a. Dummy variables are used improperly
b. Computing a variable that is calculated using other variables in equation (e.g. Profit =
revenue-total cost, and the regression includes all three variables)
Impact
 Greater the multicollinearity, greater the standard errors
 If high multicollinearity is there, confidence intervals tend to be very wide for co-efficient...
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