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(d) Does a linear relation exist between height and head circumference? (Round to three decimal places as needed.) 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,. 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, (e) Convert the data to centimeters (1 inch = 2.54 cm), and recompute the linear correlation coefficient. What effect did the conversion have on the linear correlation coefficient? Convert the first four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) Convert the last four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) The new linear correlation coefficient is r= . The conversion to centimeters (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.) 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,. 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, (e) Convert the data to centimeters (1 inch = 2.54 cm), and recompute the linear correlation coefficient. What effect did the conversion have on the linear correlation coefficient? Convert the first four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) Convert the last four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) The new linear correlation coefficient is r= . The conversion to centimeters (Round to three decimal places as needed.)

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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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. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 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 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
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) to the right. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 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 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
(d) Does a linear relation exist between height and head circumference? (Round to three decimal places as needed.) 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, 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, (e) Convert the data to centimeters (1 inch = 2.54 cm), and recompute the linear correlation coefficient. What effect did the conversion have on the linear correlation coefficient? Convert the first four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) Convert the last four data values to centimeters. Height Head Circumference (centimeters) (centimeters) (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) The new linear correlation coefficient is r= The conversion to centimeters (Round to three decimal places as needed.)
Transcribed Image Text:(d) Does a linear relation exist between height and head circumference? (Round to three decimal places as needed.) 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, 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, (e) Convert the data to centimeters (1 inch = 2.54 cm), and recompute the linear correlation coefficient. What effect did the conversion have on the linear correlation coefficient? Convert the first four data values to centimeters. Height (centimeters) (centimeters) Head Circumference (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) Convert the last four data values to centimeters. Height Head Circumference (centimeters) (centimeters) (Type integers or decimals. Do not round. List the terms in the same order as they appear in the original list.) The new linear correlation coefficient is r= The conversion to centimeters (Round to three decimal places as needed.)
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