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Which of the following is NOT a remedy for multicollinearity?Removing one of the correlated variables.Combining correlated variables.Increasing the sample size.Applying a logarithmic transformation

Question

Which of the following is NOT a remedy for multicollinearity?Removing one of the correlated variables.Combining correlated variables.Increasing the sample size.Applying a logarithmic transformation

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Solution

Increasing the sample size is NOT a remedy for multicollinearity.

Here's why:

  1. Removing one of the correlated variables: This is a common method to deal with multicollinearity. If two variables are highly correlated, they are likely conveying similar information in the model, so removing one might not significantly reduce the model's accuracy.

  2. Combining correlated variables: This is another method to handle multicollinearity. For example, if two variables are highly correlated, we can combine them into a single variable, which can be a simple average of the two, or a principal component.

  3. Increasing the sample size: This does not help reduce multicollinearity. Multicollinearity is a problem of the correlation between variables, not the number of observations. Increasing the sample size will not change the relationships between variables.

  4. Applying a logarithmic transformation: This can sometimes help reduce multicollinearity, especially if the relationship between the variables is not linear. The transformation can help linearize the relationship, thus reducing multicollinearity.

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