Applet Exercise Refer to Example 11.1 and Exercise 11.2.

Chapter 11, Problem 49E

(choose chapter or problem)

Applet Exercise Refer to Example 11.1 and Exercise 11.2. Access the applet Fitting a Line Using Least Squares. The data that appear on the first graph is from Example 11.1.

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

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?

Equation transcription:

Text transcription:

r^{2}