APFIVE Defining an Influential Point
Which of the following statements best describes an influential point in a regression analysis?
A
A point with a very large residual but an $$x$$-value near the mean, resulting in little change to the regression line if removed.
B
A point with an extreme $$x$$-value that, despite having a small residual, causes a significant change in the slope when removed.
C
A point whose removal does not alter the regression line noticeably because it is consistent with the overall pattern.
D
A point that lies perfectly on the regression line, thereby having no impact on the slope.
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