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    When there exists very high correlation among independent variables in a multiple linear regression model, it is said to suffer from the problem of:
    Question



    When there exists very high correlation among independent variables in a multiple linear regression model, it is said to suffer from the problem of:

    A.

    Autocorrelation

    B.

    Multicollinearity

    C.

    Homoscedasticity

    D.

    Heteroscedasticity

    Correct option is B


    Multicollinearity:
    · Multicollinearity occurs when two or more independent variables in a regression model are highly correlated.
    · This high correlation makes it difficult to determine the individual effect of each independent variable on the dependent variable.
    · It leads to unstable coefficient estimates and increases the standard errors of the coefficients, reducing the reliability of hypothesis tests.
    Other Terms in the Options:
    · (a) Autocorrelation: Refers to correlation between residuals (errors) of a regression model, often occurring in time-series data.
    · (c) Homoscedasticity: Refers to the condition where the variance of residuals is constant across all levels of the independent variable(s).
    · (d) Heteroscedasticity: The opposite of homoscedasticity; it occurs when the variance of residuals changes across different levels of the independent variable(s).
    Impact of Multicollinearity in Regression Models:
    · Results in inflated variance inflation factors (VIFs).
    · Makes regression coefficients unreliable and challenging to interpret.
    Information Booster: 1. Multicollinearity affects the predictive accuracy and interpretability of regression models.
    2. Detection:
    · Variance Inflation Factor (VIF): A VIF > 10 indicates high multicollinearity.
    · Correlation Matrix: Shows high correlation between independent variables.
    3. Solutions:
    · Remove highly correlated variables.
    · Use principal component analysis (PCA) to combine correlated variables.
    · Regularization techniques like Ridge or Lasso regression.

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