Scenario: A pediatrician wants to determine the relation that may exist between a child’s height and head circumference. She randomly selects eleven 3-year old children from her practice, measures their heights and head circumference, and obtains the data shown below: height (inches) Head Circumference (inches) 27.75 17.5 24.5 17.1 25.5 17.1 26 17.3 25 16.9 25.75 17.6 26.5 17.3 27 17.5 26.75 17.3 26.75 17.5 27.5 17.5 a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. c. Draw the best fit line on the scatter diagram. d. Does this scatter diagram show a positive, negative, or no relationship between a child’s height and the head circumference?
Scenario: A pediatrician wants to determine the relation that may exist between a child’s height and head circumference. She randomly selects eleven 3-year old children from her practice, measures their heights and head circumference, and obtains the data shown below: height (inches) Head Circumference (inches) 27.75 17.5 24.5 17.1 25.5 17.1 26 17.3 25 16.9 25.75 17.6 26.5 17.3 27 17.5 26.75 17.3 26.75 17.5 27.5 17.5 a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. c. Draw the best fit line on the scatter diagram. d. Does this scatter diagram show a positive, negative, or no relationship between a child’s height and the head circumference?
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
Section11.3: Shapes Of Distributions
Problem 8Q
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Scenario: A pediatrician wants to determine the relation that may exist between a child’s height and head circumference. She randomly selects eleven 3-year old children from her practice, measures their heights and head circumference, and obtains the data shown below:
| height (inches) | Head Circumference (inches) |
| 27.75 | 17.5 |
| 24.5 | 17.1 |
| 25.5 | 17.1 |
| 26 | 17.3 |
| 25 | 16.9 |
| 25.75 | 17.6 |
| 26.5 | 17.3 |
| 27 | 17.5 |
| 26.75 | 17.3 |
| 26.75 | 17.5 |
| 27.5 | 17.5 |
a. If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is response variable.
b. Draw a
c. Draw the best fit line on the scatter diagram.
d. Does this scatter diagram show a positive, negative, or no relationship between a child’s height and the head circumference?
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