Question at position 5 True/False Question: RMSE depends on the size of the test data. TrueFalse

Question

Question at position 5  True/False Question: RMSE depends on the size of the test data. TrueFalse

BlackTom AI · Accepted Answer

The question asks about whether RMSE depends on the size of the test data. 
Option 1: True. In practice, RMSE is calculated as the root mean squared error on a given test set; its numerical value can vary with the size of that test set because different samples of data yield different residuals and variance estimates. With a small test set, RMSE can be more volatile and potentially biased by a few outliers; with a larger test set, the estimate tends to stabilize and better reflect overall predictive performance. Therefore, there is a dependence on test data size in terms of the stability and reliability of the RMSE value. 
Option 2: False. This would assert that RMSE is invariant to how much test data we use, implying the metric would be the same regardless of test set size. However, since RMSE is an aggregate statistic computed over the observed residuals in the test data, changing the sample size changes the composition and number of residuals contributing to the sum of squares, which can alter the resulting RMSE value and its variability. 
In summary, the characteristic of RMSE as a statistic evaluated on a particular dataset means its numerical value and stability are influenced by the size of the test data used to compute it.

Question at position 5 True/False Question: RMSE depends on the size of the test data. TrueFalse

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