#leverage

Question 1: Select all that apply

mediumAI-checkedLinear Models & Regularization

Each panel below shows a scatterplot with one highlighted (red) point and the least-squares line fitted to all the points, including the red one. Which statements are true? Select all that apply.

Three scatterplots labelled A, B and C. In each, about 30 dark points with x between 0 and 3 follow a downward trend and a straight line is drawn. In A a red point at x = 10 lies far above the extension of the trend, and the line is much flatter than the dark points' trend. In B a red point at x = 10 lies on the extension of the trend and the line passes through both the dark points and the red point. In C a red point at x = 1.5 lies high above the dark points, and the line follows the dark points.

The red point in A has high leverage and is influential.1
The red point in B has high leverage but is not influential.2
The red point in C has high leverage because it has the largest residual.3
Removing the red point in C would change the slope of the line a lot.4

Timed test