What effect does the circled point have on the standard deviation of the residuals?
A guidance counselor wants to determine if there is a
relationship between a student's number of absences,
x, and their grade point average (GPA), y. The data
that were collected are displayed in the scatterplot
and the least-squares regression line was calculated
One student with 2 absences has a GPA of 1.8. This
point is circled on the graph.
GPA and Absences
O This point will increase the value of the standard
deviation of the residuals because it has a large
positive residual.
O This point will increase the value of the standard
deviation of the residuals because it has a large
negative residual.
O This point will not affect the value of the standard
deviation of the residuals because it has a large
positive residual
O This point will decrease the value of the standard
deviation of the residuals because it has a large
negative residual
4.8
44
40
3.6
32
GPA
28
24
20
D
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