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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

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

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.

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