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(a) he pediatrician warts to use height to predict head Apediatrician warts to determine the relation that may exist betweena child's height and head circumference. She randomly selects 8 chidren ciroumference, determine which variable is the explanatory variable trom her practice, measures heir height and head circumference, and cbtains the data shown in the table. Complete parts (a) hrough le) to he ight and which is the response variabie O The explanatory variable is height and the response variable is head circumference Height (in) Head Cireumference (in) 275 25.75 265 25 25 275 173 169 173 169 175 174 • The explanatory variable is head circumference and the response variable is height ) Draw a scater dagram. Which of the following represents the data? 26.75 26 27 25 17.1 OA 173 Click here to see the Table of Orical Values for Comelation Coefficient Critical Values for Comelation Coeficient 30997 40950 70.754 80.707 10062 11 0602 12 0576 (e) Compute the linear comelation coeficient between the height and head circumference of a child. 14 0532 15 0.514 16 0497 1704 180.468 190.456 20 0444 21 0433 22 0423 23 0413 24 0404 25 0.396 (Round to three decimal places as needed.) (4) Does a linear relation exist between height and head Giroumference? (Round to three decimal places as needed) OA Yes, the variables height and head ciroumference are positively associated because ris negatve and the absolute value of the corelation coeficient is greater than the criical value. OB. No, the variabies height and head oircumference are not inearly related because r is positive and the absolute value of the comrelation coefficient is less than the oritical value, 26 0388 27 0381 26 0.374 29 0367 30 0361 OC. No, the variables height and head circumference are not inearty related because ris negative and the absolute value

(a) he pediatrician warts to use height to predict head Apediatrician warts to determine the relation that may exist betweena child's height and head circumference. She randomly selects 8 chidren ciroumference, determine which variable is the explanatory variable trom her practice, measures heir height and head circumference, and cbtains the data shown in the table. Complete parts (a) hrough le) to he ight and which is the response variabie O The explanatory variable is height and the response variable is head circumference Height (in) Head Cireumference (in) 275 25.75 265 25 25 275 173 169 173 169 175 174 • The explanatory variable is head circumference and the response variable is height ) Draw a scater dagram. Which of the following represents the data? 26.75 26 27 25 17.1 OA 173 Click here to see the Table of Orical Values for Comelation Coefficient Critical Values for Comelation Coeficient 30997 40950 70.754 80.707 10062 11 0602 12 0576 (e) Compute the linear comelation coeficient between the height and head circumference of a child. 14 0532 15 0.514 16 0497 1704 180.468 190.456 20 0444 21 0433 22 0423 23 0413 24 0404 25 0.396 (Round to three decimal places as needed.) (4) Does a linear relation exist between height and head Giroumference? (Round to three decimal places as needed) OA Yes, the variables height and head ciroumference are positively associated because ris negatve and the absolute value of the corelation coeficient is greater than the criical value. OB. No, the variabies height and head oircumference are not inearly related because r is positive and the absolute value of the comrelation coefficient is less than the oritical value, 26 0388 27 0381 26 0.374 29 0367 30 0361 OC. No, the variables height and head circumference are not inearty related because ris negative and the absolute value

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Just parts B, C, and D

A pediatrician wants to determine the relation that may exist between a (a) If the pediatrician wants to use height to predict head child's height and head circumference. She randomly selects 8 children ciroumference, determine which variable is the explanatory variable from her practice, measures their height and head oiroumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. and which is the response variable. The explanatory variable is height and the response variable is head circumference. Height (in.) Head Circumference (in.)o 27.5 17.3 The explanatory variable is head circumference and the response variable is height. 25.75 16.9 26.5 17.3 25 25 16.9 (b) Draw a scatter diagram. Which of the following represents the data? 27.5 17.5 26.75 17.4 OA. OB. 26 27.25 17.1 17.3 17.6 E Click here to see the Table of Critoal Values for Correlation Coeficient. 16.9 Criical Values for Comelation Coefficient Cr. n Cire. in) 3 0.997 4 0.950 50.878 6 0811 70.754 8 0.707 9 10.000 10 0.632 11 l0,602 12 0.576 130.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.48 19 0.456 20 0.444 21 0.433 22 0.423 23 0413 24 0.404 Oc. 1767 (e) Compute the linear correlation coefficient between the height and head circumference of a child. (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.) OA. 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. 25 10.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 OB. No, the variabies height and head circumference are not linearly related because ris positive and the absolute value of the correlation coefficient is less than the critical value, OC. No, the variables height and head circumference are not inearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value, OD. 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 criical value.
Transcribed Image Text:A pediatrician wants to determine the relation that may exist between a (a) If the pediatrician wants to use height to predict head child's height and head circumference. She randomly selects 8 children ciroumference, determine which variable is the explanatory variable from her practice, measures their height and head oiroumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. and which is the response variable. The explanatory variable is height and the response variable is head circumference. Height (in.) Head Circumference (in.)o 27.5 17.3 The explanatory variable is head circumference and the response variable is height. 25.75 16.9 26.5 17.3 25 25 16.9 (b) Draw a scatter diagram. Which of the following represents the data? 27.5 17.5 26.75 17.4 OA. OB. 26 27.25 17.1 17.3 17.6 E Click here to see the Table of Critoal Values for Correlation Coeficient. 16.9 Criical Values for Comelation Coefficient Cr. n Cire. in) 3 0.997 4 0.950 50.878 6 0811 70.754 8 0.707 9 10.000 10 0.632 11 l0,602 12 0.576 130.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.48 19 0.456 20 0.444 21 0.433 22 0.423 23 0413 24 0.404 Oc. 1767 (e) Compute the linear correlation coefficient between the height and head circumference of a child. (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.) OA. 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. 25 10.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 OB. No, the variabies height and head circumference are not linearly related because ris positive and the absolute value of the correlation coefficient is less than the critical value, OC. No, the variables height and head circumference are not inearly related because r is negative and the absolute value of the correlation coefficient is less than the critical value, OD. 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 criical value.
Expert Solution
Step 1

Solution:

let x= Head Circumference and y = Height 

x y x2 y2 xy
17.3 27.5 299.29 756.25 475.75
16.9 25.75 285.61 663.0625 435.175
17.3 26.6 299.29 707.56 460.18
16.9 25.25 285.61 637.5625 426.725
17.5 27.5 306.25 756.25 481.25
17.4 26.75 302.76 715.5625 465.45
17.1 26 292.41 676 444.6
17.3 27.25 299.29 742.5625 471.425

 n= 8 observation

∑x=137.7∑y= 212.6∑x2= 2370.51∑y2= 5654.81∑xy=3660.555

 

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