(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response 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) to the right. variable. O The explanatory variable is head circumference and the response variable is height. Height (in.) Head Circumference (in.) 27 25.5 26 25.75 7.75 6.5 6.25 6.75 17.4 17.2 17.2 17 17.5 17.2 17.2 G The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? OA. OB. 17.4 17.64 E Click here to see the Table of Critical Values for Correlation Coefficient. 16.9 16.9 Circ. (in) Circ. (in) OD. 17.6 28 16.9 25 16.9 Height (in) Height (in) (c) Compute the linear correlation coefficient between the height and head circumference of a child. r= 0.863 (Round to three decimal places as needed.) (d) Does a linear relation exist between height and head circumference? (Round to three decimal places as needed.) O A. Yes, the variables height and head circumference are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value, O B. No, the variables height and head circumference are not linearly related because r is positive and the absolute value of the correlation coefficien is less than the critical value, OC. No, the variables height and head circumference are not linearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value, O D. Yes, the variables height and head circumference are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value, Height (in): (u) ao

(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response 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) to the right. variable. O The explanatory variable is head circumference and the response variable is height. Height (in.) Head Circumference (in.) 27 25.5 26 25.75 7.75 6.5 6.25 6.75 17.4 17.2 17.2 17 17.5 17.2 17.2 G The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? OA. OB. 17.4 17.64 E Click here to see the Table of Critical Values for Correlation Coefficient. 16.9 16.9 Circ. (in) Circ. (in) OD. 17.6 28 16.9 25 16.9 Height (in) Height (in) (c) Compute the linear correlation coefficient between the height and head circumference of a child. r= 0.863 (Round to three decimal places as needed.) (d) Does a linear relation exist between height and head circumference? (Round to three decimal places as needed.) O A. Yes, the variables height and head circumference are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value, O B. No, the variables height and head circumference are not linearly related because r is positive and the absolute value of the correlation coefficien is less than the critical value, OC. No, the variables height and head circumference are not linearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value, O D. Yes, the variables height and head circumference are positively associated because r is negative and the absolute value of the correlation coefficient is greater than the critical value, Height (in): (u) ao

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 23PPS

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Solve question (d) please

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) to the right.
(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,
Height (in.) Head Circumference (in.)
17.4
17.2
O The explanatory variable is head circumference and the response variable
is height.
27
25.5
26
25.75
27.75
26.5
26.25
26.75
The explanatory variable is height and the response variable is head
circumference.
17.2
17
17.5
(b) Draw a scatter diagram. Which of the following represents the data?
17.2
OA.
OB.
17.2
17.4
28
17.6
Click here to see the Table of Critical Values for Correlation Coefficient.
16.9-
16.9
17.6
Circ. (in)
Circ. (in)
OD.
17.64
28-
16.94
25
Height (in)
169
Height (in)
(c) Compute the linear correlation coefficient between the height and head
circumference of a child.
r= 0.863
(Round to three decimal places as needed.)
(d) Does a linear relation exist between height and head circumference?
(Round to three decimal places as needed.)
O A. Yes, the variables height and head circumference are positively
associated because r is positive and the absolute value of the
correlation coefficient is greater than the critical value,
O B. No, the variables height and head circumference are not linearly related
because r is positive and the absolute value of the correlation coefficient
is less than the critical value,
O C. No, the variables height and head circumference are not linearly related
because r is negative and the absolute value of the correlation
coefficient is less than the critical value,
O D. Yes, the variables height and head circumference are positively
associated because r is negative and the absolute value of the
correlation coefficient is greater than the critical value,
(u) jybia
(u) aybiaH

Critical Values for Correlation Coefficient
3.
0.997
4 0.950
0.878
0.811
0.754
0.707
0.666
10 |0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
9.
8.
9.
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361

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