Two hundred and eighty boys completed a test that measures

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
Age (Midpoint
of Age Group)

Median Six-Minute
Walk Distance
(meters)

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
Age ( x )

Residual

4

7

10

13.5

17

 

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