As an objective,minimizing the sum of squared errors is equivalent to minimizing the
A) root mean square error
B) weighted sum of squared errors
C) sum of absolute errors
D) maximum absolute error

Question

As an objective,minimizing the sum of squared errors is equivalent to minimizing the
A) root mean square error 
B) weighted sum of squared errors 
C) sum of absolute errors 
D) maximum absolute error

Quizplus · Accepted Answer

Minimizing the sum of squared errors is equivalent to minimizing the root mean square error because the RMSE is the square root of the average of the squared errors, and minimizing the sum of squared errors will lead to the smallest possible value of the RMSE. The other options, weighted sum of squared errors, sum of absolute errors, and maximum absolute error, are not equivalent to minimizing the sum of squared errors.

As an Objective,minimizing the Sum of Squared Errors Is Equivalent