(a) With x= representative age and y = median distance walked in 6 minutes, construct a scatterplot. y 20 20 750 750 15 700 700 15 650 650 10 10 600 600 550 550 o 550 600 650 700 750 5. 10 15 20 10 15 20 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a curved pattern. O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at all. (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 10 13.5 17 Construct a residual plot. Residual 40 Residual Residual 40 Residual 40 40 20 20 20 20 -20 - -20 -20 -20 10 15 10 15 10 15 10 15
(a) With x= representative age and y = median distance walked in 6 minutes, construct a scatterplot. y 20 20 750 750 15 700 700 15 650 650 10 10 600 600 550 550 o 550 600 650 700 750 5. 10 15 20 10 15 20 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a curved pattern. O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at all. (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 10 13.5 17 Construct a residual plot. Residual 40 Residual Residual 40 Residual 40 40 20 20 20 20 -20 - -20 -20 -20 10 15 10 15 10 15 10 15
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
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.
Representative
Age (Midpoint
of Age Group)
Median Six-Minute
Age Group
Walk Distance
(meters)
3-5
4
543.3
6-8
7
585.0
9-11
10
666.3
12-15
13.5
700.1
16-18
17
726.6
n 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
700
700
15
650-
650
10
10
600
600
5
550
550
X
550
600
650
700
750
10
15
20
5
10
15
20
550
600
650
700
750
Does the pattern in the scatterplot look linear?
O The scatterplot shows a curved pattern.
O The scatterplot shows a linear pattern.
O The scatterplot shows no pattern at all.
(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
10
15
10
15
5
10
15
5
10
15
(d) Are there any unusual features in the residual plot?
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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8e6950d-977a-445f-90aa-958a2c1a17c1%2F1d213aea-ac12-4a3f-af91-0c498ce0b193%2Fuzkbzdp_processed.png&w=3840&q=75)
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
4
543.3
6-8
7
585.0
9-11
10
666.3
12-15
13.5
700.1
16-18
17
726.6
n 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
700
700
15
650-
650
10
10
600
600
5
550
550
X
550
600
650
700
750
10
15
20
5
10
15
20
550
600
650
700
750
Does the pattern in the scatterplot look linear?
O The scatterplot shows a curved pattern.
O The scatterplot shows a linear pattern.
O The scatterplot shows no pattern at all.
(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
10
15
10
15
5
10
15
5
10
15
(d) Are there any unusual features in the residual plot?
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.
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.
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