(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.) Representative Age (x) 4 7 10 13.5 17 Construct a residual plot. Residual

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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56.3

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
3-5
6-8
9-11
12-15
16-18
Representative
Age (Midpoint
of Age Group)
4
7
10
13.5
17
Median Six-Minute
Walk Distance
(meters)
543.3
583.0
666.3
701.1
726.6
Transcribed Image Text: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 3-5 6-8 9-11 12-15 16-18 Representative Age (Midpoint of Age Group) 4 7 10 13.5 17 Median Six-Minute Walk Distance (meters) 543.3 583.0 666.3 701.1 726.6
(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.)
+
ŷ
=
(c) Compute the five residuals. (Round your answers to three decimal places.)
Representative
Age (x)
4
7
10
13.5
17
Construct a residual plot.
Residual
Transcribed Image Text:(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.) + ŷ = (c) Compute the five residuals. (Round your answers to three decimal places.) Representative Age (x) 4 7 10 13.5 17 Construct a residual plot. Residual
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Follow-up Question
(d) Are there any unusual features in the plot?
There are no unusual features in the plot.
The residual plot reflects the sharp increase in the median distance walked between the representative ages of 10 and 13.5.
The residual plot reflects the sharp increase in the median distance walked between the representative ages of 7 and 10.
The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 7 and 10.
The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 10 and 13.5.
Transcribed Image Text:(d) Are there any unusual features in the plot? There are no unusual features in the plot. The residual plot reflects the sharp increase in the median distance walked between the representative ages of 10 and 13.5. The residual plot reflects the sharp increase in the median distance walked between the representative ages of 7 and 10. The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 7 and 10. The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 10 and 13.5.
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