Acess the applet called Exploring Correlation.

a. Move the slider in the first applet so that r ≈ .75. Now switch the sign using the button at the bottom of the applet. Describe the change in the pattern of the points.

b. Move the slider in the first applet so that r ≈ 0. Describe the pattern of points on the scatterplot.

c. Refer to part b. In the second applet labeled Correlation and the Quadrants, with r ≈ 0, count the number of points falling in each of the four quadrants of the scatterplot. Is the distribution of points in the quadrants relatively uniform, or do more points fall into certain quadrants than others?

d. Use the second applet labeled Correlation and the Quadrants and change the correlation coefficient to r ≈
- 0.9. Is the distribution of points in the quadrants relatively uniform, or do more points fall into certain quadrants than others? What happens if r ≈ 0.9?

e. Use the third applet labeled Correlation and the Regression Line. Move the slider to see the relationship between the correlation coefficient r, the slope of the regression line and the direction of the relationship between x and y. Describe the relationship.