10) Scatter Plot and Correlation: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects eleven 3-year-old children from her practice, measures their heights and head circumference (both measured in inches) and obtains the data shown below. Height Head Circumference Height Head Circumference 27.75 17.5 26.5 17.3 24.5 17.1 27 17.5 25.5 17.1 26.75 17.3 26 17.3 26.75 17.5 25 16.9 27.5 17.5 27.75 17.6 Source Denise Slucki, Student at Joliet Jr. College 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. b. Draw a scatter diagram of the data. c. Determine the linear correlation coefficient between the height and head circumference of a child. Round to 4 decimals. d. Does a linear relation exit between the height and head circumference of a child? If so determine whether the variables will have a positive, negative or no correlation. (We will consider for now any correlation coefficient less than 0.75 in magnitude to have no correlation)