Question

The director of graduate admissions in a state college is analyzing the relationship between scores in the GRE and student performance in graduate school, as measured by a student’s GPA. The table below shows a sample of 10 students.

GRE	1,870	1,310	80	700	1,310	1,360	640	420	780	1,630
GPA	3.0	2.3	2.3	3.2	2.3	2.0	3.1	3.0	3.9	3.8

Which of the following statements is correct?

• The correlation coefficient between GRE and GPA is positive and weak; namely it is 7.889.

• The correlation coefficient between GRE and GPA is positive and strong; namely it is 0.021.

• The correlation coefficient between GRE and GPA is negative and strong; namely it is −782.

• The correlation coefficient between GRE and GPA is negative and weak; namely it is −0.654.

Answer 1

Let's use excel:

First enter the given data in excel rows

Then use the "=CORREL(range of first row, range of second row)"

Look the following image:

and enter then we get the following output

From the above output, the correct choice is

The correlation coefficient between GRE and GPA is positive and strong; namely it is 0.021.