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.

HW3 Midterm

13.3 59.811

21.9 87.539

9.7 53.728

25 96.283

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

20.2 79.762

21.8 84.258

23.1 92.911

23 87.82

11.4 45.034

14.9 71.869

18.4 76.704

15.1 60.431

15 65.15

16.8 77.208

Based on your results, If your HW3 grades increases by 1 point, your Midterm grade, on average, increases by approximately how much?

Place your answer, rounded to 3 decimal places, in the blank. Do not use any stray punctuation marks or a dollar sign. For example, 34.567 would be a legitimate entry. ___