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

13.3 21.9 9.7 25 5.4 13.2 20.9 18.5 20 15.4 25 9.7 6.4 20.2 21.8 23.1 23 11.4 14.9 18.4 15.1 15 16.8

Midterm

59.811 87.539 53.728 96.283 39.174 66.092 89.729 78.985 86.2 73.274 93.25 52.257 43.984 79.762 84.258 92.911 87.82 45.034 71.869 76.704 60.431 65.15 77.208

Approximately what percentage of the variation in the Midterm grade isaccounted for by the HW3 grade in this model?

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