A Least-Squares Regression Line Is Not Just Any Line Drawn

Multiple Choice

A least-squares regression line is not just any line drawn through the points of a scatterplot. What is special about a least-squares regression line?

A) It passes through all the points.
B) It minimizes the squared values of the data.
C) It has slope equal to the correlation between the two variables.
D) It describes how a response variable y changes as an explanatory variable x takes different values.
E) It minimizes the sum of the squared vertical distances of the data points from the line.