Concept explainers
a.
Find the slope and intercept of the blue horizontal line.
Find the sum of squares of the vertical deviations between the points on the horizontal line and the observed values of the y’s.
Check whether the line appear to fit the data well.
Explain how does the SSE compare to the sum of the areas of the yellow boxes.
b.
Drag the horizontal line to make the slope of the line negative.
Explain the lengths of vertical red lines.
Check whether SSE increases or decreases.
Check whether the line with negative slope appear to fit the data well.
c.
Drag the horizontal line to make the slope is near 0.8.
Check whether SSE increases or decreases when the slope is closer to 0.7.
Find the coordinates of the pivot point consistent with the result obtained in Exercise 11.1.
d.
Drag the horizontal line until the data fits visually well.
Find the slope and intercept of the line.
Obtain the value of SSE.
Compare the SSE associated with visually fitted model and best model.
Compare the slope and intercept associated with visually fitted model and best model.
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Mathematical Statistics with Applications
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