During the first recitation class of the semester, a teaching
assistant asked each of the 12 students in his statistics section
to rate his or her math phobia on a scale from 0-10. Later, the TA
paired those phobia ratings with the students' scores on their
first exam. The data in the following table; graph the scatterplot
in order to answer the questions that follow the table.
a. Do you expect a positive or negative correlation? Do you
expect the magnitude of the correlation to be fairly low, rather
high, or moderate?
b. What characteristics of the pattern that you can see in the
scatterplot prevents the correlation from being very close to
perfect?
Phobia rating (X) 5 1 5 7 0 1 3 8 5 10 6 2
Exam 1 (Y) 94 96 87 75 91 93 90 77 97 78 89 88