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Final answer:The pediatrician is conducting a statistical study to determine if a correlation exists between a child's height and head circumference. This involves plotting the data and calculating a correlation coefficient, a method demonstrated in the length-weight relationship for American Boys and Girls.Explanation:The pediatrician in this scenario is conducting a study on the correlation betweenchildren's heightandhead circumference. This type of research is often seen in Statistics, a branch of Mathematics, where relationships between two variables are explored.For the pediatrician to conclude the relationship, she must calculate the correlation coefficient, a statistical measure that expresses the degree of linear relationship between two variables. Looking across several we can see examples of how this is done in practice, comparing height and weight in children. In this case, however, height and head circumference are being compared instead.In essence, the pediatrician would plot the height (in inches) against the head circumference (in inches) and observe if a positive, negative, or no correlation exists between these two measurements. This would provide valuable information for the pediatrician and may have potential implications on further medical studies related to child growth.Learn more about Statistics in Medicine here:brainly.com/question/29383638#SPJ11...