A common objective for many school administrators is to increase the number of students
taking SAT and ACT tests from their school. The data from each state from 2003 are
reflected in the scatterplot.
a. Write a few sentences describing the association.
b. Estimate the correlation. $r =$________
c. If the point in the top left corner (4, 1215) were removed, would the correlation become
stronger, weaker, or remain about the same? Explain briefly.
d. If the point in the very middle (38, 1049) were removed, would the correlation become
stronger, weaker, or remain about the same? Explain briefly.

Question

A common objective for many school administrators is to increase the number of students
taking SAT and ACT tests from their school. The data from each state from 2003 are
reflected in the scatterplot.  
a. Write a few sentences describing the association.
b. Estimate the correlation. $r =$________ 
c. If the point in the top left corner (4, 1215) were removed, would the correlation become
stronger, weaker, or remain about the same? Explain briefly.
d. If the point in the very middle (38, 1049) were removed, would the correlation become
stronger, weaker, or remain about the same? Explain briefly.

Quizplus · Accepted Answer

The Answer is a. There is a moderate, negative, linear association between the percent of students
taking the SAT test and the total SAT score. It appears that the states with a larger
percentage of students taking the SAT test have lower average total scores.
b. r = -0.76 (answers between -0.6 and -0.9 are acceptable)
c. If the point in the top left corner (4, 1215) were removed, the correlation would
become stronger because the remaining points show a pattern with slightly less
scatter.
d. If the point in the very middle (38, 1049) were removed, the correlation would
remain about the same; this point does not contribute much to the scatter.

A Common Objective for Many School Administrators Is to Increase r=r =r=

A Common Objective for Many School Administrators Is to Increase $r =$