A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data
A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below.
Transcribed Image Text:A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head
circumferences, and obtains the accompanying data. Complete parts (a) through (g) below.
Click the icon to view the children's data.
Data table
...
(a) Find the least-squares regression line treating height as the explanatory variable and head circumfe
Height (inches), x
Head Circumference (inches), y
28
17.4
y =x+ (D
24.5
17.1
(Round the slope to three decimal places and round the constant to one decimal place as needed.)
25.25
17.0
(b) Interpret the slope and y-intercept, if appropriate.
26
17.5
24.25
16.8
First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to comp
28.25
17.6
O A. For every inch increase in head circumference, the height increases by
in., on average.
26.5
17.2
(Round to three decimal places as needed.)
27
17.4
O B. For every inch increase in height, the head circumference increases by
in., on average.
26.75
17.2
(Round to three decimal places as needed.)
26.75
17.4
27.5
17.4
O C. For a head circumference of 0 inches, the height is predicted to be
in.
(Round to three decimal places as needed.)
D. For a height of 0 inches, the head circumference is predicted to be
in.
(Round to three decimal places as needed)
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