Question: A pediatrician wanted to find a linear model that relates a childs height,H, to head circumference, C. She randomly selects nine children from her practice,

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.

(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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a b Using the LINear REGression program the line of best fit is CH 037... View full answer

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