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A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly select a children from her practice, measures the height and head orcumference and obtain the data shown as the table Complete pots (a) mrough (e) below Cick here to see the Table of Croce Values for Correion Coefficient 25.15 Height (.) Head Circumference 27 17 17 25 17 3575 121 278 16 2025 174 2626 171 27 173 CHE (c) Compute the inear correlation coefficient between the height and head circumference of a child O (Round to three decimal places as needed)
0 25.75 27.5 26.25 26.25 27 17.1 17,6 174 17.1 173 (d) Does a linear relation exist between height and head circumference? Select the correct choice below and in the answer box to complete your choice (Round to three decimal places as needed) O A No, the variables height and head circumference are not linearly related because rispostive and the absolute value of the correlation coefficient is less than the chocal, OB Yes, the variables height and head circumference are positively associated because ris negative and the absolute value of the correlation coefficient is greater than the calle OC No, the variables height and head circumference are not linearly related because is negative and the absolute value of the correlation coefficient is less than the critical OD. Yes, the variables height and head circumference are positively associated because is positive and the absolute value of the correlation coefficient is greater than the rate
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Convert the last four data values to 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 coefficientista The conversion to centimeters (Round to three decimal places as needed.)
Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 100.632 11 0.602 120.576 13 0.553 14 0.532 15 0.514 160.497 17 | 0.482 Print Done
е 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 1 0.396 26 0.388 27 | 0.381 28 0.374 29 0.367 30 0.361 n Print Done