Chapter 1. Influential Observations

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Stat Tutor
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Question 1

1:31

Question 1.1

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Incorrect. Since the vertical distance from the outlier to the regression line is small, the residual is small.
Correct. Since the vertical distance from the outlier to the regression line is small, the residual is small.
Incorrect. Try again.
2

Question 2

2:04

Question 1.2

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Incorrect. The distance from the outlier to the regression line is quite large, so the residual is large.
Correct. The distance from the outlier to the regression line is quite large, so the residual is large.
Incorrect. Try again.
2

Question 3

2:40

Question 1.3

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Incorrect. This outlier is a lot farther from the regression line than the other data points, so it has a large residual.
Correct. This outlier is a lot farther from the regression line than the other data points, so it has a large residual.
Incorrect. Try again.
2

Question 4

3:40

Question 1.4

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Incorrect. Since outliers affect sample means and sample standard deviations and they are used to find slope and y-intercept, slope and y-intercept are also affected by outliers.
Correct. Since outliers affect sample means and sample standard deviations and they are used to find slope and y-intercept, slope and y-intercept are also affected by outliers.
Incorrect. Try again.
2

Questions 5-7

4:00

Question 1.5

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Incorrect. This statement defines an influential point.
Correct. This statement defines an influential point.
Incorrect. Try again.
2

Question 1.6

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Incorrect. This is a correct statement.
Correct. This is a correct statement.
Incorrect. Try again.
2

Question 1.7

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Incorrect. Often an influential point has a large residual, but not always.
Correct. Often an influential point has a large residual, but not always.
Incorrect. Try again.
2

Applet

4:23