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A residual plot from the least-squares regression is shown below. Which of the following

Chapter 12, Problem T12.8

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QUESTION:

Section I: Multiple Choice  Select the best answer for each question.

A residual plot from the least-squares regression is shown below. Which of the following statements is supported by the graph?

(a) The residual plot contains dramatic evidence that the standard deviation of the response about the population regression line increases as the average number of putts per round increases.

(b) The sum of the residuals is not 0. Obviously, there is a major error present.

(c) Using the regression line to predict a player’s total winnings from his average number of putts almost always results in errors of less than $200,000.

(d) For two players, the regression line underpredicts their total winnings by more than $800,000.

(e) The residual plot reveals no correlation between average putts per round and prediction errors from the least-squares line for these players.

Questions & Answers

QUESTION:

Section I: Multiple Choice  Select the best answer for each question.

A residual plot from the least-squares regression is shown below. Which of the following statements is supported by the graph?

(a) The residual plot contains dramatic evidence that the standard deviation of the response about the population regression line increases as the average number of putts per round increases.

(b) The sum of the residuals is not 0. Obviously, there is a major error present.

(c) Using the regression line to predict a player’s total winnings from his average number of putts almost always results in errors of less than $200,000.

(d) For two players, the regression line underpredicts their total winnings by more than $800,000.

(e) The residual plot reveals no correlation between average putts per round and prediction errors from the least-squares line for these players.

ANSWER:

Step 1 of 6

(a) Not supported, because the vertical spread between the points in the residual plot does not seem to change for difference values on the horizontal axis.

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