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.) O 27.5 25.5 26.25 25.25 17.2 17 17.1 17 27.5 26.25 25.75 17.6 17.4 17.1 26.75 17.4 (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. Choose the correct answer below The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference.

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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Critical Values for Correlation Coefficient
3 0.007
4 0.950
5 0.878
0.997
0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
18 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.390
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
7
8
Transcribed Image Text:Critical Values for Correlation Coefficient 3 0.007 4 0.950 5 0.878 0.997 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 18 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.390 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 7 8
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.)
27.5
17.2
25.5
17
26.25
17.1
25.25
17
27.5
17.6
26.25
17.4
25.75
17.1
26.75
17.4
(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. Choose the correct answer below.
The explanatory variable is head circumference and the response variable is height.
The explanatory variable is height and the response variable is head circumference.
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.) 27.5 17.2 25.5 17 26.25 17.1 25.25 17 27.5 17.6 26.25 17.4 25.75 17.1 26.75 17.4 (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. Choose the correct answer below. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference.
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