2018 Summer Online Statistics Homework: Section 4.1 Score: 0.5 of 1 pt Madison K

Question

2018 Summer Online Statistics Homework: Section 4.1 Score: 0.5 of 1 pt Madison Kramber&18/14189:14 PM Homework 11 of 20 (20 complete) HW Score: 86.79%, 17.36 of 20 p 4.1.27-T Question Help A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table 27.75 25.5 26.5 25.5 27 25 28.75 17.3 17.1 17.2 17 17.5 17.3 17.2 17.3 EEB Click here to see the Table of Critical Values for Correlation Coefficient 16 16. 17.6 25 28 Height (n) Height in) (c) Compute the lnear correlation coefficient between the height and head circumference of a child r = .842 Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All Final Check 3 5 7 8 9

Explanation / Answer

the linera correlation coefficient=r=cov(x,y)/(sd(x)*sd(y))=0.0895/(0.7648*0.1409)=0.830

following information has been generatede using ms-excel

Height(x) Head(y) 27.75 17.3 25.5 17.1 26.5 17.2 25.5 17 27.25 17.5 26.75 17.3 26 17.2 27 17.3 n= 8 8 sd= 0.7648 0.1409 cov(x,y)= 0.0895 corr=r= 0.8303

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