on a flat, nat age group table, the median dista age group Is also Representative Age (Midpoint of Age Group) Median Six-Minute Walk Distance (meters) Age Group 3-5 4 545.3 6-8 7 585.0 9-11 10 668.3 12-15 13.5 700.1 16-18 17 726.6 A USE SALT ») With x = representative age and y = median distance walked in 6 minutes, construct a scatterplot. y y y 20 - 20 750 750- 15 700 700 15 650 650 10 10 600 600 550 550 550 600 650 700 750 550 600 650 700 750 10 15 20 10 15 20 Does the pattern in the scatterplot look linear? O The scatterplot shows a curved pattern. O The scatterplot shows no pattern at all. The scatternlot showe a linear patte

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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.
Representative
Age (Midpoint
of Age Group)
Median Six-Minute
Age Group
Walk Distance
(meters)
3-5
545,3
6-8
585.0
9-11
10
668.3
12-15
13.5
700.1
16-18
17
726.6
In USE SALT
(a) With x = representative age and y = median distance walked in 6 minutes, construct a scatterplot.
y
y
y
y
20
20
750
750
15
15
700
700
650
650
10
10
600
600
5
550
550
550
600
650
700
750
550
600
650
700
750
5
10
15
20
10
15
20
Does the pattern in the scatterplot look linear?
O The scatterplot shows a curved pattern.
O The scatterplot shows no pattern at alI.
O The scatterplot shows a linear pattern.
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. Representative Age (Midpoint of Age Group) Median Six-Minute Age Group Walk Distance (meters) 3-5 545,3 6-8 585.0 9-11 10 668.3 12-15 13.5 700.1 16-18 17 726.6 In USE SALT (a) With x = representative age and y = median distance walked in 6 minutes, construct a scatterplot. y y y y 20 20 750 750 15 15 700 700 650 650 10 10 600 600 5 550 550 550 600 650 700 750 550 600 650 700 750 5 10 15 20 10 15 20 Does the pattern in the scatterplot look linear? O The scatterplot shows a curved pattern. O The scatterplot shows no pattern at alI. O The scatterplot shows a linear pattern.
(b) Find the equation of the least-squares line that describes the relationship between median distance walked in 6 minutes and representative age. (Round your values to four decimal places.)
(c) Calculate the five residuals. (Round your answers to three decimal places.)
Representative
Age (x)
Residual
4
7
10
13.5
17
Construct a residual plot.
Residual
Residual
Residual
Residual
40
40
40
40
20
20
20
20
- 20
- 20
- 20
- 20
5
10
15
5
10
15
5
10
15
5
10
15
(d) Are there any unusual features in the residual plot?
O There are no unusual features in the plot.
O The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 7 and 10.
O The residual plot reflects the sharp increase in the median distance walked between the representative ages of 10 and 13.5.
O The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 10 and 13.5.
O The residual plot reflects the sharp increase in the median distance walked between the representative ages of 7 and 10.
Transcribed Image Text:(b) Find the equation of the least-squares line that describes the relationship between median distance walked in 6 minutes and representative age. (Round your values to four decimal places.) (c) Calculate the five residuals. (Round your answers to three decimal places.) Representative Age (x) Residual 4 7 10 13.5 17 Construct a residual plot. Residual Residual Residual Residual 40 40 40 40 20 20 20 20 - 20 - 20 - 20 - 20 5 10 15 5 10 15 5 10 15 5 10 15 (d) Are there any unusual features in the residual plot? O There are no unusual features in the plot. O The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 7 and 10. O The residual plot reflects the sharp increase in the median distance walked between the representative ages of 10 and 13.5. O The residual plot reflects the sharp decrease in the median distance walked between the representative ages of 10 and 13.5. O The residual plot reflects the sharp increase in the median distance walked between the representative ages of 7 and 10.
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