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 |
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.
Solution: Find the predicted midterm score when the homework 3 score is 19.5.
Answer:
Explanation:
To find the predicted midterm score, we first need to find the least-squares regression equation.
Find the predicted midterm score when the homework 3 score is 19.5.
Answer: