Question: 5.11 Influence in Regression. The Correlation and Regression applet allows you to animate Figure 5.9. Click to create a group of 10 points in the

5.11 Influence in Regression. The Correlation and Regression applet allows you to animate Figure 5.9. Click to create a group of 10 points in the lower-left corner of the scatterplot with a strong straight-line pattern (correlation about 0.9). Click the "Show least-squares line" box to display the regression line.

(a) Add one point at the upper right that is far from the other 10 points but exactly on the regression line. Why does this outlier have no effect on the line even though it changes the correlation?

(b) Now use the mouse to drag this last point straight down. You see that one end of the least-squares line chases this single point, whereas the other end remains near the middle of the original group of 10. What makes the last point so influential?

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