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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 4 545.3 6-8 7 583.0 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- 700 700 15 15 650 650 10 10 600 600 5- 5 550 550 5 10 15 20 10 15 20 550 600 650 700 750 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at all. The scatterplot shows a curved pattern.

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 4 545.3 6-8 7 583.0 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- 700 700 15 15 650 650 10 10 600 600 5- 5 550 550 5 10 15 20 10 15 20 550 600 650 700 750 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at all. The scatterplot shows a curved pattern.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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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 4 545.3 6-8 7 583.0 9-11 10 666.3 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 20 750 750 700 700 15 15 650 650 10 10 600 600 5 550 550 10 15 20 5 10 15 20 550 600 650 700 750 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at allI. O The scatterplot shows a curved 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 4 545.3 6-8 7 583.0 9-11 10 666.3 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 20 750 750 700 700 15 15 650 650 10 10 600 600 5 550 550 10 15 20 5 10 15 20 550 600 650 700 750 550 600 650 700 750 Does the pattern in the scatterplot look linear? O The scatterplot shows a linear pattern. O The scatterplot shows no pattern at allI. O The scatterplot shows a curved 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.) ý = 493.4244+14.6442x (c) Calculate the five residuals. (Round your answers to three decimal places.) Representative Age (x) Residual 4 |-4.90 7 |-13.116 25 10 13.5 9.903 17 |-15.830 Construct a residual plot. Residual 40 Residual Residual Residual 40 40 40 20 20 20 20 -20 - 20 - 20 -20 5 10 15 5 10 15 5 10 15 5 10 15 (i V
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.) ý = 493.4244+14.6442x (c) Calculate the five residuals. (Round your answers to three decimal places.) Representative Age (x) Residual 4 |-4.90 7 |-13.116 25 10 13.5 9.903 17 |-15.830 Construct a residual plot. Residual 40 Residual Residual Residual 40 40 40 20 20 20 20 -20 - 20 - 20 -20 5 10 15 5 10 15 5 10 15 5 10 15 (i V
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