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.

Midterm 59.8 87.5 53.7 96.3 39.2 66.1 89.7 79 86.2 73.3 93.3 52.3 44 79.8 84.3 92.9 87.8 45 71.9 76.7 60.4 65.2 77.2

HW3 13.3 21.9 9.7 25 5.4 13.2 20.9 18.5 20 15.4 25 9.7 6.4 20.2 21.8 23.1 23 11.4 14.9 18.4 15.1 15 16.8

Find the predicted midterm score when the homework 3 score is 19.5. Do not round until the end, then round answer to 2 decimal places.