Height versus Head Circumference A paediatrician 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 who 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 |
Source Denise Slucki, student at Joliet Junior College
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