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In a regression problem where the log of the target variable is used, explain why it is necessary to exponentiate the Root Mean Square Error (RMSE) when reporting the error. Provide a detailed explanation and include a hypothetical example.
A
Exponentiating the RMSE is necessary to convert the error back to the original scale of the target variable, providing a more interpretable measure of error.
B
Exponentiating the RMSE increases the error, making the model appear worse than it actually is.
C
Exponentiating the RMSE is only necessary for linear regression models, not for other types of regression models.
D
Exponentiating the RMSE is a statistical convention but has no practical impact on model interpretation.