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Unusual points Each of the four scatterplots that follow

Chapter 8, Problem 25E

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QUESTION:

Problem 25E

Unusual points Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:

1) In what way is the point unusual? Does it have high leverage, a large residual, or both?

2) Do you think that point is an influential point?

3) If that point were removed, would the correlation become stronger or weaker? Explain.

4) If that point were removed, would the slope of the regression line increase or decrease? Explain.

a)

b)

c)

d)

Questions & Answers

QUESTION:

Problem 25E

Unusual points Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:

1) In what way is the point unusual? Does it have high leverage, a large residual, or both?

2) Do you think that point is an influential point?

3) If that point were removed, would the correlation become stronger or weaker? Explain.

4) If that point were removed, would the slope of the regression line increase or decrease? Explain.

a)

b)

c)

d)

ANSWER:

Problem 25E

Unusual points. Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:

1) In what way is the point unusual? Does it have high leverage, a large residual, or both?

2) Do you think that point is an influential point?

3) If that point were removed, would the correlation become stronger or weaker? Explain.

4) If that point were removed, would the slope of the regression line increase or decrease? Explain.

                                                               Step by Step Solution

Step 1 of 5

Given:

The four scatter plots showing the cluster of points and one “stray” point is provided.

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