Height versus Head Circumference A pediatrician wants to determine the relation that may
Chapter 4, Problem 27(choose chapter or problem)
Height versus Head Circumference A pediatrician wants to determine the relation that may exist between a childs height and head circumference. She randomly selects eleven 3-year-old children from her practice, measures their heights and head circumference, and obtains the data shown in the table on the next page.Height(inches)HeadCircumference(inches)Height(inches)HeadCircumference(inches)27.75 17.5 26.5 17.324.5 17.1 27 17.525.5 17.1 26.75 17.326 17.3 26.75 17.525 16.9 27.5 17.527.75 17.6Source: Denise Slucki, student at Joliet Junior College(a) If the pediatrician wants to use height to predict headcircumference, determine which variable is the explanatoryvariable and which is the response variable.(b) Draw a scatter diagram.(c) Compute the linear correlation coefficient between theheight and head circumference of a child.(d) Does a linear relation exist between height and headcircumference?
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