Explain the mathematical difference between MSE and RMSE and their interpretation.

  • MSE is the square of RMSE; RMSE is less interpretable
  • MSE is the square root of RMSE; RMSE emphasizes larger errors more
  • RMSE is the square of MSE; MSE provides values in the original unit
  • RMSE is the square root of MSE; MSE is in squared units
The Mean Squared Error (MSE) measures the average of the squared differences between the predicted values and the actual values, resulting in squared units. The Root Mean Squared Error (RMSE) is the square root of MSE, thus providing a value in the same unit as the original data. RMSE is often considered more interpretable for this reason.
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