### Correlation of Independent Variables**Question:**An independent variable \(X_j\) is not considered highly correlated with the other independent variables if- [ ] VIF < 5- [ ] R-squared > 0- [ ] R-squared > .5- [ ] VIF > 5**Explanation:**In the context of multicollinearity in regression analysis, the Variance Inflation Factor (VIF) is a metric used to evaluate the extent of correlation between independent variables. A commonly accepted threshold is that a VIF less than 5 suggests that the variable \(X_j\) is not highly correlated with the other independent variables. If the VIF exceeds this threshold, it indicates a higher degree of multicollinearity which can affect the stability and interpretability of the regression coefficients.- **VIF (Variance Inflation Factor)**: This measures how much the variance of a regression coefficient is inflated due to multicollinearity with other predictors. A VIF value less than 5 is generally accepted as an indicator that multicollinearity is not a concern.- **R-squared**: This represents the proportion of the variance for the dependent variable that's explained by the independent variables in a regression model. Although useful, R-squared alone does not provide information about multicollinearity between independent variables.When addressing multicollinearity, utilizing VIF is more direct and relevant than R-squared values. Hence, the correct answer to the question is:- **VIF < 5**

Multicollinearity is the term which shows that the independent variables are correlated with each…

Answered: An independent variable X; is not…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An independent variable X; is not considered highly correlated with the other independent variables if O VIF < 5 R-squared > 0 R-squared > .5 VIF > 5