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Height versus Head Circumference A pediatrician wants to
Chapter 7, Problem 27AYU(choose chapter or problem)
Problem 27AYU
Height versus Head Circumference 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 in the table on the next page.
|
Height (inches) |
Head Circumference (inches) |
Height (inches) |
Head Circumference (inches) |
27.75 |
17.5 |
26.5 |
17.3 |
24.5 |
17.1 |
27 |
17.5 |
25.5 |
17.1 |
26.75 |
17.3 |
26 |
17.3 |
26.75 |
17.5 |
25 |
16.9 |
27.5 |
17.5 |
27.75 |
17.6 |
|
|
Denise Slucki, student at Joliet Junior College
(a)If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable.
(b)Draw a scatter diagram.
(c)Compute the linear correlation coefficient between the height and head circumference of a child.
(d)Does a linear relation exist between height and head circumference?
Questions & Answers
QUESTION:
Problem 27AYU
Height versus Head Circumference 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 in the table on the next page.
|
Height (inches) |
Head Circumference (inches) |
Height (inches) |
Head Circumference (inches) |
27.75 |
17.5 |
26.5 |
17.3 |
24.5 |
17.1 |
27 |
17.5 |
25.5 |
17.1 |
26.75 |
17.3 |
26 |
17.3 |
26.75 |
17.5 |
25 |
16.9 |
27.5 |
17.5 |
27.75 |
17.6 |
|
|
Denise Slucki, student at Joliet Junior College
(a)If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable.
(b)Draw a scatter diagram.
(c)Compute the linear correlation coefficient between the height and head circumference of a child.
(d)Does a linear relation exist between height and head circumference?
ANSWER:Answer:
Step 1 of 2
Given, 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 in the table on the next page.
Height |
Head |
Height |
Head |
(inches) |
Circumference |
(inches) |
Circumference |
|
(inches) |
|
(inches) |
27.75 |
17.5 |
26.5 |
17.3 |
24.5 |
17.1 |
27 |
17.5 |
25.5 |
17.1 |
26.75 |
17.3 |
26 |
17.3 |
26.75 |
17.5 |
25 |
16.9 |
27.5 |
17.5 |
27.75 |
17.6 |
|
|
(a)If the pediatrician wants to use height to predict head circumference,
Height is the explanatory variable and Head circumference is the response variable.
(b)
