Two hundred and eighty boys completed a test that measures the distance that the

Question

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 7 585.0

9–11 10 668.3

12–15 13.5 701.1

16–18 17 726.6

(b) Find the equation of the least-squares regression line that describes the relationship between median distance walked in 6 minutes and representative age. (Round your values to three decimal places.)

(c) Compute the five residuals. (Round your answers to three decimal places.)

(c) Compute the five residuals. (Round your answers to three decimal places.)

Representative
Age (x) Residual 4 7 10 13.5 17

Explanation / Answer

b)

equation of the line is y = 494.8138+14.60643*x

c)

SUMMARY OUTPUT Regression Statistics Multiple R 0.97206 R Square 0.944901 Adjusted R Square 0.926535 Standard Error 20.94615 Observations 5 ANOVA df SS MS F Significance F Regression 1 22572.19 22572.19 51.44761 0.005583 Residual 3 1316.224 438.7412 Total 4 23888.41 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 494.8138 22.97155 21.54029 0.000219 421.7081 567.9195 421.7081 567.9195 Representative Age (Midpoint of Age Group) 14.60643 2.036392 7.172699 0.005583 8.125719 21.08714 8.125719 21.08714

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