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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Part III- Linear Relationship
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?
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