Which of the following assertions is true about the regression line?
A) The regression line is also called the least cubes line and is found minimizing the sum of the cubes of the residuals.
B) It is found minimizing the sum of the residuals squared, but-even though it would be unnecessarily complicated-it could also be found minimizing the sum of the residuals cubed.
C) Depending on the data, some regression lines could have only positive residuals.
D) Depending on the data, some regression lines could have all residuals equal to zero.
E) Depending on the data, some regression lines could have only negative residuals.

Question

Quizplus · Accepted Answer

The regression line is found by minimizing the sum of the squared residuals. If the data perfectly fits a linear model, all residuals could be zero.

Which of the Following Assertions Is True About the Regression