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More unusual points Each of the following scatterplots
Chapter 8, Problem 26E(choose chapter or problem)
Problem 26E
More unusual points Each of the following scatterplots 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 26E
More unusual points Each of the following scatterplots 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:
Step 1 of 4
a) The stray point has a lower -value than the other points. The point will be very influential, because it lies far removed from the general pattern. The correlation would be stronger by the removal. The slope would be increase.