A pediatrician wants to determine the relation that may exist between a child's height and head Height (in.) Head Circumference (in.) = circumference. She randomly selects 8 children from her practice, measures their height and 27.5 17.4 head circumference, and obtains the data shown in the table. Complete parts (a) through (e) 25.75 17.1 below. 26.5 17.2 @ Click here to see the Table of Critical Values for Correlation Coefficient. 25.75 16.9 27.75 17.5 26.75 17.3 25.75 17.2 27 17.4 (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. Choose the correct answer below. ( The explanatory variable is height and the response variable is head circumference. () The explanatory variable is head circumference and the response variable is height. (b) Draw a scatter diagram. Choose the correct graph below. A O B. Oc OD A A A A - 176 | Q 17.6 A Q 28 Q\\ 228 Q z E g $ : } : L Q . B _ HEH 16.91e: > 25; > 25 > 25 28 g 25 28 o 16.9 17.6 o 16.9 17.6 o Circ. (in.) Height (in.) Height (in.) Circ. (in.) (c) Compute the linear correlation coefficient between the height and head circumference of a child. r=(0.3 (Round to three decimal places as needed.) (d) Does a linear relation exist between height and head circumference? Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value, O B. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value, @c. Yes, there appears to be a positive linear association because r is positive and is less than the critical value, |0.6|. () D. No, there is no linear association since r is positive and is less than the critical value