Applet Exercise Refer to Exercises 11.5 and 11.6. The data

Chapter 11, Problem 50E

(choose chapter or problem)

Applet Exercise Refer to Exercises 11.5 and 11.6. The data from Exercise 11.5 appear in the graph under the heading “Another Example” in the applet Fitting a Line Using Least Squares.

a Drag the blue line to obtain an equation that visually fits the data well. What do you notice about the value of \(r^{2}\) as the fit of the line improves?

b Click the button “Find Best Model” to obtain the least-squares line. What is the value of \(r^{2}\)? What is the value of the correlation coefficient?

c Why is the value of \(r^{2}\) so much larger than the value of \(r^{2}\) that you obtained in Exercise 11.49(b) that used the data from Example 11.1?

Equation transcription:

Text transcription:

r^{2}