Knowee
Questions
Features
Study Tools

In comparison to mean absolute error, mean squared error:1 pointIs more interpretable by taking the same unit as the response.Focuses more on large errors.Weighs small and large errors equally.­Avoids cancellation of errors.

Question

In comparison to mean absolute error, mean squared error:1 pointIs more interpretable by taking the same unit as the response.Focuses more on large errors.Weighs small and large errors equally.­Avoids cancellation of errors.

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The statement "In comparison to mean absolute error, mean squared error" can be explained as follows:

  1. "Is more interpretable by taking the same unit as the response." - This is incorrect. Mean Squared Error (MSE) is not more interpretable by taking the same unit as the response. In fact, it squares the unit of the response, which can make it less interpretable.

  2. "Focuses more on large errors." - This is correct. MSE squares the errors before they are averaged, which gives more weight to larger errors. This means that MSE is more sensitive to outliers than Mean Absolute Error (MAE).

  3. "Weighs small and large errors equally." - This is incorrect. As mentioned above, MSE gives more weight to larger errors because it squares the errors before they are averaged.

  4. "Avoids cancellation of errors." - This is correct. Both MSE and MAE avoid cancellation of errors because they use absolute values or squares of the errors, which are always positive.

This problem has been solved

Solution 2

The statement "In comparison to mean absolute error, mean squared error" can be explained as follows:

  1. Is more interpretable by taking the same unit as the response: This statement is incorrect. Mean Squared Error (MSE) is not more interpretable by taking the same unit as the response. In fact, it squares the unit of the response, which can make it less interpretable.

  2. Focuses more on large errors: This statement is correct. MSE squares the errors before they are averaged, which gives more weight to larger errors. This means that MSE is more sensitive to outliers and large errors.

  3. Weighs small and large errors equally: This statement is incorrect. As mentioned above, MSE squares the errors, which gives more weight to larger errors. Therefore, it does not weigh small and large errors equally.

  4. Avoids cancellation of errors: This statement is correct. By squaring the errors, MSE ensures that positive and negative errors do not cancel each other out. This is a feature that Mean Absolute Error (MAE) also has, but it is still a correct statement about MSE.

This problem has been solved

Similar Questions

Question 6All of these options are useful error measures to compare regressions except:1 pointSSER squaredTSSROC index

absolute error and relative error in a measurement give a real life example for comparison

More accurate responses have a smaller margin of error, but a larger sample size is necessary.1 pointTrueFalse

Indicates how much variation you expect among your responses. 1 pointstandard deviationconfidence levelmargin of error

Question 9In Linear Regression, which statement is correct about Sum Squared Error?1 pointThe Sum Squared Error measures the distance between the truth and predicted values.The Sum Squared Error measures the distance between the truth and the average values of the truth.The Sum Squared Error is a measure of the explained variation of our model.The Sum Squared Error measures the distance between the predicted values and the average values of the truth.

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.