A reference to the criterion used to select the regression line,to minimize the squared distances between the estimated straight line and the observed values is called
A)Mean square error.
B)Sum of Squares.
C)Maximum likelihood.
D)R-square.
E)Least Squares.

Question

Quizplus · Accepted Answer

The criterion used to select the regression line, to minimize the squared distances between the estimated straight line and the observed values is known as least squares. Therefore, E is the correct answer. Mean square error (A) and Sum of Squares (B) are related to the calculation of the goodness of fit, but not specifically to the selection of the regression line. Maximum likelihood (C) is a statistical concept to estimate parameter values of a population, and R-square (D) is a measure of the proportion of the variation in the dependent variable that is explained by the independent variable(s), but neither of them is directly related to the selection of the regression line.

A Reference to the Criterion Used to Select the Regression