Two hundred and eighty boys completed a test that measures the distance that the subject can walk on a flat, hard surface in 6 minutes. For each age group shown in the table, the median distance walked by the boys in that age group is also given.
Age Group |
Representative |
Median Six-Minute |
3–5 |
4 |
545.3 |
6–8 |
7 |
583.0 |
9–11 |
10 |
667.3 |
12–15 |
13.5 |
701.1 |
16–18 |
17 |
727.6 |
(a) Find the equation of the least-squares regression line that describes the relationship between median distances walked in 6 minutes and representative age. (Round your values to three decimal places.) =
(b) Compute the five residuals. (Round your answers to three decimal places.)
Representative |
Residual |
4 |
|
7 |
|
10 |
|
13.5 |
|
17 |