A pediatrician wants to determine the relation that may exist between a child's Height (in.) Head Circumference (in.) E 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. 27.25 17.6 25.75 17.2 26.5 17.3 E Click here to see the Table of Critical Values for Correlation Coefficient. 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. O B. OC. OD. 17.6- 28- 28- 17.6- 16.9 25 Height (in.) 25- 16.9 Height (in.) 16.9 28 17.6 16.9 17.6 25 28 Circ. (in.) Circ. (in.) (c) Compute the linear correlation coefficient between the height and head circumference of a child. (Round to three decimal places as needed.) (u) jybjaH (u) jybjaH Circ (in.)
A pediatrician wants to determine the relation that may exist between a child's Height (in.) Head Circumference (in.) E 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. 27.25 17.6 25.75 17.2 26.5 17.3 E Click here to see the Table of Critical Values for Correlation Coefficient. 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. O B. OC. OD. 17.6- 28- 28- 17.6- 16.9 25 Height (in.) 25- 16.9 Height (in.) 16.9 28 17.6 16.9 17.6 25 28 Circ. (in.) Circ. (in.) (c) Compute the linear correlation coefficient between the height and head circumference of a child. (Round to three decimal places as needed.) (u) jybjaH (u) jybjaH Circ (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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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.)
Transcribed Image Text:(inches)
y (inches)
(inches)
y (inches)
27.75
17.7
26.5
17.3
24.5
17.2
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
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