Applet Exercise Refer to Exercises 11.2 and 11.5. The data from Exercise 11.5 appear in

Chapter 11, Problem 11.6

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Applet Exercise Refer to Exercises 11.2 and 11.5. The data from Exercise 11.5 appear in the graph under the heading Another Example in the applet Fitting a Line Using Least Squares. Again, the horizontal blue line that initially appears on the graph is a line with 0 slope. a What is the intercept of the line with 0 slope? What is the value of SSE for the line with 0 slope? b Do you think that a line with negative slope will fit the data well? If the line is dragged to produce a negative slope, does SSE increase or decrease? c Drag the line to obtain a line that visually fits the data well. What is the equation of the line that you obtained? What is the value of SSE? What happens to SSE if the slope (and intercept) of the line is changed from the one that you visually fit? d Is the line that you visually fit the least-squares line? Click on the button Find Best Model to obtain the line with smallest SSE. How do the slope and intercept of the least-squares line compare to the slope and intercept of the line that you visually fit in part (c)? How do the SSEs compare? e Refer to part (a). What is the y-coordinate of the point around which the blue line pivots? f Click on the button Display/Hide Error Squares. What do you observe about the size of the yellow squares that appear on the graph? What is the sum of the areas of the yellow squares?