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
13.1	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
20.2	79.762
21.8	84.258
23.1	92.911
22	87.82
11.4	54.034
14.9	71.869
18.4	76.704
15.1	70.431
15	65.15
16.8	77.208

Find the predicted midterm score when the homework 3 score is 15. Do not round until the end, then round answer to 3 decimal places.

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