Question: 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

Approximately what percentage of the variation in the Midterm grade is accounted for by the HW3 grade in this model? Place your answer, rounded to 1 decimal place, in the blank. Do not use any stray punctuation marks or a percentage sign. For example, 78.9 would be a legitimate entry. ___%

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