A pediatrician wanted to find a linear model that relates a childs height,H, to head circumference, C.
Question:
A pediatrician wanted to find a linear model that relates a child’s height,H, to head circumference, C. She randomly selects nine children from her practice, measures their height and head circumference, and obtains the data shown. Let H represent the independent variable and C the dependent variable.
(a) Use a graphing utility to draw a scatter diagram.
(b) Use a graphing utility to find the line of best fit that models the relation between height and head circumference. Express the model using function notation.
(c) Interpret the slope.
(d) Predict the head circumference of a child that is 26 inches tall.
(e) What is the height of a child whose head circumference is 17.4 inches?
Height H (inches) ……………..…………………….. Head Circumference, C (inches)
25.25 ……………………………………………………………………………. 16.4
25.75 ……………………………………………………………………………. 16.9
25 ……………………………………….………………………………………. 16.9
27.75 ……………………………………………………………………………. 17.6
26.5 ………………………………………………………………………………. 17.3
27 …………………………………………..……………………………………. 17.5
26.75 ……………………………………….……………………………………. 17.3
26.75 ……………………………………….……………………………………. 17.5
27.5 ………………………………………………………………………………. 17.5
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