A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. Calculate the correlation coefficient using technology.

HW3 Midterm

13.1 59.811

21.9 87.539

8.8 53.728

24.3 95.283

5.4 39.174

13.2 66.092

20.9 89.729

18.5 78.985

20 86.2

15.4 73.274

25 93.25

9.7 52.257

6.4 43.984

20.9 81.23

21.34 83.345

23.4 92.923

22.9 88.88

11.7 53.267

14.9 71.869

18.4 76.704

15.1 70.431

15 65.15

16.8 77.208