The paper referenced in the previous exercise also gave the 6-minute walk distances for 248 girls age 3 to 18 years. The median 6-minute walk times for girls for the five age groups were
- a. With x = Representative age and y = Median distance walked in 6 minutes, construct a
scatterplot . - b. How does the pattern in the scatterplot for girls differ from the pattern in the scatterplot for boys from the previous exercise?
- c. Find the equation of the least-squares line that describes the relationship between median distance walked in 6 minutes and representative age for girls.
- d. Calculate the five residuals and construct a residual plot.
5.36 ● The data in the accompanying table is from the paper “Six-Minute Walk Test in Children and Adolescents” (The Journal of Pediatrics [2007]: 395–399). 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.
- a. With x = Representative age and y = Median distance walked in 6 minutes, construct a scatterplot. Does the pattern in the scatterplot look linear?
- b. Find the equation of the least-squares line that describes the relationship between median distance walked in 6 minutes and representative age.
- c. Calculate the five residuals and construct a residual plot. (Hint: See Examples 5.7 and 5.8.)
- d. Are there any unusual features in the residual plot?
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