Which of the following is NOT a remedy for heteroscedasticity?Log transformation of the dependent variable.Adding more predictor variables.Using weighted least squares.Box-Cox transformation.
Question
Which of the following is NOT a remedy for heteroscedasticity?Log transformation of the dependent variable.Adding more predictor variables.Using weighted least squares.Box-Cox transformation.
Solution
Adding more predictor variables is NOT a remedy for heteroscedasticity.
Here's why:
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Log transformation of the dependent variable: This is a common remedy for heteroscedasticity. When the variance of the errors in a regression model increases with the level of the dependent variable, a log transformation can stabilize the variance.
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Adding more predictor variables: This is not a remedy for heteroscedasticity. In fact, adding more predictor variables without any theoretical justification can lead to overfitting and does not address the issue of heteroscedasticity.
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Using weighted least squares: This is another common remedy for heteroscedasticity. In a weighted least squares regression, each observation is weighted by the inverse of the variance of the error term for that observation, which can help to stabilize the variance.
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Box-Cox transformation: This is a type of power transformation that can be used to stabilize the variance in a regression model. It can be particularly useful when the form of the heteroscedasticity is not known.
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