21. Height versus Head Circumference (Refer to Problem 23, Section 4.1) A pediatrician wants to determine the relation that exists between a child's height, x, and head circumfer- ence, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the following data. Height..x (inches) 27.75 24.5 25.5 26 25 Head Circumference. y (inches) Height, x (inches) 17.5 17.1 17.1 17.3 16.9 27.75 17.6 Source: Denise Slucki, student at Joliet Junior College 26.5 27 26.75 26.75 27.5 Head Circumference, y (inches) 17.3 17.5 17.3 17.5 17.5 (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Use the regression equation to predict the head circum- ference of a child who is 25 inches tall. (d) Compute the residual based on the observed head cir- cumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average?
21. Height versus Head Circumference (Refer to Problem 23, Section 4.1) A pediatrician wants to determine the relation that exists between a child's height, x, and head circumfer- ence, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the following data. Height..x (inches) 27.75 24.5 25.5 26 25 Head Circumference. y (inches) Height, x (inches) 17.5 17.1 17.1 17.3 16.9 27.75 17.6 Source: Denise Slucki, student at Joliet Junior College 26.5 27 26.75 26.75 27.5 Head Circumference, y (inches) 17.3 17.5 17.3 17.5 17.5 (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Use the regression equation to predict the head circum- ference of a child who is 25 inches tall. (d) Compute the residual based on the observed head cir- cumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average?
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21. Height versus Head Circumference (Refer to Problem 23,
Section 4.1) A pediatrician wants to determine the relation
that exists between a child's height, x, and head circumfer-
ence, y. She randomly selects 11 children from her practice,
measures their heights and head circumferences and obtains
the following data.
Height,.x
(inches)
27.75
24.5
25.5
Head
26
25
Circumference,
y (inches)
17.5
17.1
17.1
17.3
16.9
27.75
17.6
Source: Denise Slucki, student at Joliet Junior College
Height, .x
(inches)
26.5
27
26.75
26.75
27.5
Head
Circumference, y
(inches)
17.3
17.5
17.3
17.5
17.5
(a) Find the least-squares regression line treating height as
the explanatory variable and head circumference as the
response variable.
(b) Interpret the slope and y-intercept, if appropriate.
(c) Use the regression equation to predict the head circum-
ference of a child who is 25 inches tall.
(d) Compute the residual based on the observed head cir-
cumference of the 25-inch-tall child in the table. Is the
head circumference of this child above average or below
average?
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