Data Table Height (inches), x Head 27.5 24.75 25.75 26

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(b)

Data Table
Height (inches), x Head Circumference (inches), y
27.5
17.5
24.75
17.1
25.75
26
24.5
27.75
26.75
27.25
26.5
26.5
27.75
17.2
17.6
16.9
17.6
17.3
17.5
17.3
17.5
17.5
Transcribed Image Text:Data Table Height (inches), x Head Circumference (inches), y 27.5 17.5 24.75 17.1 25.75 26 24.5 27.75 26.75 27.25 26.5 26.5 27.75 17.2 17.6 16.9 17.6 17.3 17.5 17.3 17.5 17.5
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.
(a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.
y = 0.165 x + (13)
(Round the slope to three decimal places and round the constant to one decimal place as needed.)
(b) Interpret the slope and y-intercept, if appropriate.
First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. For every inch increase in head circumference, the height increases by
in., on average.
(Round to three decimal places as needed.)
OB. For a height of 0 inches, the head circumference is predicted to be
(Round to three decimal places as needed.)
O C. For a head circumference of 0 inches, the height is predicted to be
(Round to three decimal places as needed.)
in.
in.
O D. For every inch increase in height, the head circumference increases by
(Round to three decimal places as needed.)
in., on average.
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. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. y = 0.165 x + (13) (Round the slope to three decimal places and round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For every inch increase in head circumference, the height increases by in., on average. (Round to three decimal places as needed.) OB. For a height of 0 inches, the head circumference is predicted to be (Round to three decimal places as needed.) O C. For a head circumference of 0 inches, the height is predicted to be (Round to three decimal places as needed.) in. in. O D. For every inch increase in height, the head circumference increases by (Round to three decimal places as needed.) in., on average.
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