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 4.8 4.4 4.0 3.6 3.2 2.8 24 2.0 1.6 0 2 4 6 8 10 12 14 16 Absences (Days) What effect does the circled point have on the standard deviation of the residuals? 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. This point will not affect the value of the standard deviation of the residuals because it has a large positive residual. This point will decrease the value of the standard deviation of the residuals because it has a large negative residual. GPA

MACROECONOMICS FOR TODAY
10th Edition
ISBN:9781337613057
Author:Tucker
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Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
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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
4.8
4.4
4.0
3.6
3.2
2.8
2.4
2.0
1.6
4 6 8 10 12 14
16
Absences (Days)
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.
This point will increase the value of the standard
deviation of the residuals because it has a large
negative residual.
This point will not affect the value of the standard
deviation of the residuals because it has a large
positive residual.
This point will decrease the value of the standard
deviation of the residuals because it has a large
negative residual.
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. GPA and Absences 4.8 4.4 4.0 3.6 3.2 2.8 2.4 2.0 1.6 4 6 8 10 12 14 16 Absences (Days) 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. This point will increase the value of the standard deviation of the residuals because it has a large negative residual. This point will not affect the value of the standard deviation of the residuals because it has a large positive residual. This point will decrease the value of the standard deviation of the residuals because it has a large negative residual. GPA
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