Squared error of regression line | Regression | Probability and Statistics | Khan Academy

What is the primary objective when finding a line for a given set of points on a coordinate plane?

• To connect all the points perfectly.

• To minimize the sum of the squared vertical distances from each point to the line.

• To find the average of all x and y coordinates.

• To create a line that passes through the origin.

In the equation of a line y = mx + b, what do 'm' and 'b' represent?

• 'm' is the x-intercept, 'b' is the y-intercept.

• 'm' is the slope, 'b' is the y-intercept.

• 'm' is the y-intercept, 'b' is the slope.

• 'm' is the x-coordinate, 'b' is the y-coordinate.

How is the 'error' for a specific data point relative to the line defined?

• The horizontal distance between the point and the line.

• The diagonal distance between the point and the line.

• The vertical distance between the point and the line.

• The perpendicular distance from the point to the line.

What quantity is being minimized to find the best-fit line among the given data points?

• The sum of the errors.

• The product of the errors.

• The sum of the squared errors.

• The average of the errors.