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. What effect does the circled point have on the standard deviation of the residuals? This point will increase the value of the standard deviation of the residuals because it has a large positive residual. OThis point will increase the value of the standard deviation of the residuals because it has a large negative residual. GPA and Absences 4.8 OThis point will not affect the value of the standard deviation of the residuals because it has a large 44 4.0 positive residual. 3.6 OThis point will decrease the value of the standard 3.2 deviation of the residuals because it has a large 2.8 negative residual. 2.4 GPA

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least-squares regression line was calculated. One
student with 2 absences has a GPA of 1.8. This point is
circled on the graph.
deviation of the residuals because it has a large
positive residual.
This point will increase the value of the standard
deviation of the residuals because it has a large
GPA and Absences
negative residual.
4.8
OThis point will not affect the value of the standard
4.4
deviation of the residuals because it has a large
4.0
positive residual.
OThis point will decrease the value of the standard
deviation of the residuals because it has a large
3.6
3.2
2.8
negative residual.
2.4
2.0
1.6
14
2.
4 6 8
10
Absences (Days)
12 14 16
GPA
Transcribed Image Text:least-squares regression line was calculated. One student with 2 absences has a GPA of 1.8. This point is circled on the graph. deviation of the residuals because it has a large positive residual. This point will increase the value of the standard deviation of the residuals because it has a large GPA and Absences negative residual. 4.8 OThis point will not affect the value of the standard 4.4 deviation of the residuals because it has a large 4.0 positive residual. OThis point will decrease the value of the standard deviation of the residuals because it has a large 3.6 3.2 2.8 negative residual. 2.4 2.0 1.6 14 2. 4 6 8 10 Absences (Days) 12 14 16 GPA
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.
What effect does the circled point have on the standard
deviation of the residuals?
This point will increase the value of the standard
deviation of the residuals because it has a large
positive residual.
OThis point will increase the value of the standard
deviation of the residuals because it has a large
GPA and Absences
negative residual.
4.8
This point will not affect the value of the standard
deviation of the residuals because it has a large
44
4.0
positive residual.
3.6
This point will decrease the value of the standard
deviation of the residuals because it has a large
3.2
2.8
negative residual.
19
2.4
2.0
GPA
Transcribed Image Text: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. What effect does the circled point have on the standard deviation of the residuals? This point will increase the value of the standard deviation of the residuals because it has a large positive residual. OThis point will increase the value of the standard deviation of the residuals because it has a large GPA and Absences negative residual. 4.8 This point will not affect the value of the standard deviation of the residuals because it has a large 44 4.0 positive residual. 3.6 This point will decrease the value of the standard deviation of the residuals because it has a large 3.2 2.8 negative residual. 19 2.4 2.0 GPA
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