A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) below. E Click here to see the Table of Critical Values for Correlation Coefficient. Height (in.) Head Circumference (in.) E 27.25 17.6 25.75 17.2 26.5 17.3 25.25 17.1 27.75 17.5 26.5 17.4 26.25 17.2 27 17.3 ... The explanatory variable is head circumference and the response variable is height. (b) Draw a scatter diagram. Choose the correct graph below. OA. В. O C. OD. 28- A 28- 17.6- 17.6- 16.9+ 25 Circ. (in.) 16.9H 25+ 16.9 25 + 16.9 Circ. (in.) 25 28 17.6 17.6 28 Height (in.) Height (in.) (c) Compute the linear correlation coefficient between the height and head circumference of a child. r= (Round to three decimal places as needed.) Circ (in.) Circ (in.) Height (in.) Height (in.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question
A pediatrician wants to determine the relation that may exist between a child's
height and head circumference. She randomly selects 8 children from her
practice, measures their height and head circumference, and obtains the data
shown in the table. Complete parts (a) through (e) below.
E Click here to see the Table of Critical Values for Correlation Coefficient.
Height (in.) Head Circumference (in.) E
27.25
17.6
25.75
17.2
26.5
17.3
25.25
17.1
27.75
17.5
26.5
17.4
26.25
17.2
27
17.3
...
The explanatory variable is head circumference and the response variable is height.
(b) Draw a scatter diagram. Choose the correct graph below.
OA.
В.
O
C.
OD.
28-
A
28-
17.6-
17.6-
16.9+
25
Circ. (in.)
16.9H
25+
16.9
25
+
16.9
Circ. (in.)
25
28
17.6
17.6
28
Height (in.)
Height (in.)
(c) Compute the linear correlation coefficient between the height and head circumference of a child.
r=
(Round to three decimal places as needed.)
Circ (in.)
Circ (in.)
Height (in.)
Height (in.)
Transcribed Image Text:A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) below. E Click here to see the Table of Critical Values for Correlation Coefficient. Height (in.) Head Circumference (in.) E 27.25 17.6 25.75 17.2 26.5 17.3 25.25 17.1 27.75 17.5 26.5 17.4 26.25 17.2 27 17.3 ... The explanatory variable is head circumference and the response variable is height. (b) Draw a scatter diagram. Choose the correct graph below. OA. В. O C. OD. 28- A 28- 17.6- 17.6- 16.9+ 25 Circ. (in.) 16.9H 25+ 16.9 25 + 16.9 Circ. (in.) 25 28 17.6 17.6 28 Height (in.) Height (in.) (c) Compute the linear correlation coefficient between the height and head circumference of a child. r= (Round to three decimal places as needed.) Circ (in.) Circ (in.) Height (in.) Height (in.)
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