Question at position 9 True/False Question: MSE penalizes large errors more than MAE. TrueFalse

Question

Question at position 9  True/False Question: MSE penalizes large errors more than MAE. TrueFalse

BlackTom AI · Accepted Answer

When evaluating the statement about MSE and MAE, it’s helpful to recall what each metric does with errors.
Option 1: True. MSE stands for mean squared error, which squares each individual error before averaging. Squaring magnitudes emphasizes larger deviations more than smaller ones, so a single large error increases the metric more than a smaller error would. This makes MSE more sensitive to outliers and large mistakes.
Option 2: False. If we compare MAE, which is the mean absolute error, to MSE, MAE uses the absolute value of the errors and treats all deviations with equal weight regardless of scale. Therefore MAE does not penalize large errors as heavily as MSE does. The statement claiming MSE penalizes large errors more than MAE is essentially describing MSE’s defining property, not a counterexample.
Additional nuance: because MSE squares the errors, its units become squared relative to the original data, which can amplify the perceived impact of large errors even further, reinforcing its sensitivity to outliers. In contrast, MAE preserves the original units and grows linearly with error, which reduces the influence of extreme values compared to MSE.
In summary, the core idea is that squaring in MSE makes large errors count more than in MAE, whereas MAE averages absolute differences without such amplification.

Question at position 9 True/False Question: MSE penalizes large errors more than MAE. TrueFalse

View Explanation

Log in for full answers

Similar Questions

Which evaluation metric is most sensitive to large prediction errors in numeric prediction?

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

The RMSE can be calculated using the following equation: RMSE=√∑ni=1(yi−ˆyi)2n While the bias can be calculated: BIAS=∑ni=1(yi−ˆyi)n Based on these equations, which of the following statements is TRUE?

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler