In: Statistics and Probability
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.