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.