Question
In: Statistics and Probability
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through (f) below. Height (inches), x 27.75 26.75 27 25 27.5 Head Circumference (inches), y 17.6 17.3 17.5 16.9 17.5 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to four decimal places as needed.) beta 1almost equalsb 1equals nothing (Round to four decimal places as needed.)
Solutions
Expert Solution
Using Minitab software, (Stat -> Regression -> Regression -> Fit Regression Model), we get the following output :
The estimated regression equation is :
Head Circumference = 10.567 + 0.2535*Height
So, estimated y intercept = 
estimated slope = 
orchestra answered 2 years agoRelated Solutions
A pediatrician wants to determine the relation that may exist between a? child's height and head...
A pediatrician wants to determine the relation that may exist
between a? child's height and head circumference. She randomly
selects 8 children from her? practice, measures their height and
head? circumference, and obtains the data shown in the table.
Complete parts? (a) through? (e) to the right. Height? (in.) Head
Circumference? (in.) 27 17.4 25.5 17.2 26 17.2 25.75 17 27.75 17.5
26.5 17.2 26.25 17.2 26.75 17.4 LOADING... Click here to see the
Table of Critical Values for Correlation...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. A normal probability
plot suggests that the residuals are normally distributed. Complete
parts (a) and (b) below.
Height_(inches)_-_x Head
Circumference_(inches)_-_y
27.75 17.6
27 17.5
27.5 17.5
25.5 17.1
25 16.9
(a) Use technology to determine sb1.
sb1=__?__
(Round to four decimal places as needed.)
(b) Test...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. Complete parts (a)
through (f) below.
Height (inches), x
25
27
26.5
27.5
25.5
Head Circumference (inches), y
16.9
17.5
17.3
17.5
17.1
(a) Treating height as the explanatory variable, X, use
technology to determine the estimates of β0 and β1.
β0 ≈b0 = ____ (Round...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 8 children from her practice, measures their height and
head circumference, and obtains the data shown in the table.
Complete parts (a) through (e) to the right. Height (in.) Head
Circumference (in.) 27.75 17.4 25 17.1 26.25 17.3 25.75 17 27.5
17.4 26.25 17.2 26 17.1 26.75 17.4 LOADING... Click here to see the
Table of Critical Values for Correlation...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects five 3-year-old children from her practice, measures their
height and head circumference and obtains the data shown in the
table:
height
27.75 24.5 25.5 26 25
head circumferences(in)
17.5 17.1 17.1 17.3 16.9
(a) if the pediatrician wants to use height to predict head
circumference, determine which variable is the explanatory variable
and which is the response variable:
(b)Draw a...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. A normal probability
plot suggests that the residuals are normally distributed. Complete
parts (a) and (b) below. Height (inches), x 25 27.5 27 25.5 26
Head Circumference (inches), y 16.9 17.5 17.5 17.1 17.3 (a) Use
technology to determine s Subscript b 1. s Subscript b...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. A normal probability
plot suggests that the residuals are normally distributed. Complete
parts (a) and (b) below. Height (inches), x 27.75 24.5 27.5 27
26.5 Head Circumference (inches), y 17.6 17.1 17.5 17.5 17.3 (a)
Use technology to determine s Subscript b 1. s Subscript b...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. A normal probability
plot suggests that the residuals are normally distributed. Complete
parts (a) and (b) below.
Height (inches), x
27 24.5 27.75 26.5 27.5
Head Circumference (inches), y
17.5 17.1 17.6 17.3 17.5
(a) Use technology to determine sb1
sb1= ______
(Round to four decimal...
A pediatrician wants to determine the relation that may exist between a child's height and head...
A pediatrician wants to determine the relation that may exist
between a child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. Complete parts (a)
through (f) below.
Height_(inches)_-_x
Head_Circumference_(inches)_-_y
25 16.9
27 17.5
27.75 17.6
27.5 17.5
26.5 17.3
a) Treating height as the explanatory variable, x, use
technology to determine the estimates of
beta 0β0
and
beta 1β1.
beta 0β0almost equals≈b 0b0equals=nothing
(Round to four decimal...
A pediatrician wants to determine the relation that may exist between a? child's height and head...
A pediatrician wants to determine the relation that may exist
between a? child's height and head circumference. She randomly
selects 5 children and measures their height and head
circumference. The data are summarized below. Complete parts? (a)
through? (f) below.
Height (inches), x
25
27.75
26.75
25.5
26.5
Head Circumference (inches), y
16.9
17.6
17.3
17.1
17.3
a) Treating height as the explanatory variable,
x, use technology to determine the estimates of β0 and β1.
(b) Use technology to compute...
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