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Let's say I am predicting house selling prices (continuous) and therefore have multiple independent variables (numerical and categorical).

Is it common practice to balance the dataset when the categorical independent variables are imbalanced (ratio not higher than 1:100)? Or do I only balance the data when the dependent variable is imbalanced?

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Usually imbalanced data refers to imbalanced dependent variable, so are what the common data balancing techniques work for. As for the independent variables, I think it depends on whether it is critical to balance it or not.

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