12:51 K 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 circumference as the response variable. y = x+ (Round the slope to three decimal places and round the constant to one decimal place as needed.) Height (inches), x Head Circumference (inches), y 27.5 17.4 24.5 17.0 25.75 17.0 26 24.25 27.75 26.25 Vol) 1 LTE2 27.25 26.5 17.5 16.8 17.5 17.2 17.4 ا... ا... 172 45% - X

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12:51
K
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 circumference as the
response variable.
y = x+
(Round the slope to three decimal places and round the constant to one decimal place as needed.)
Height (inches), x Head Circumference (inches), y
27.5
17.4
24.5
17.0
25.75
17.0
26
17.5
24.25
16.8
27.75
17.5
26.25
17.2
17.4
17.2
17.4
17.4
27.25
26.5
26.5
27.75
Vol) 1
LTE2
=
Print
ا... ا...
Done
45%
X
Transcribed Image Text:12:51 K 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 circumference as the response variable. y = x+ (Round the slope to three decimal places and round the constant to one decimal place as needed.) Height (inches), x Head Circumference (inches), y 27.5 17.4 24.5 17.0 25.75 17.0 26 17.5 24.25 16.8 27.75 17.5 26.25 17.2 17.4 17.2 17.4 17.4 27.25 26.5 26.5 27.75 Vol) 1 LTE2 = Print ا... ا... Done 45% X
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 oblains the accompanying dala. Complete
parts (a) through (g) below.
Click the icon to view the children's data.
24
Residual
Q
G
Residual
O A. Yes the calculated model can be used for any child's height.
OB. Yes this height is possible and within the scope of the model.
Q
O C. No-this height is outside the scope of the model.
OD. No this height is not possible.
E. More information regarding the child is necessary to make the decision.
Click to select your answer(s).
FT.
Residua
(f) Notice that two children are 26.5 inches tall. One has a head circumference of 17.3 inches; the other has a head circumference of 17.5 inches. How can this be?
O A. The only explanation is that the difference is due to the fact that one observation was of a boy, and one observation was of a girl.
OB. There is no logical explanation for this-the two observations in question should have had the same head circumference.
The only explanation is that the difference was caused by measurement error.
O C.
OD. For children with a height of 26.5 inches, head circumferences vary.
(g) Would it be reasonable to use the least-squares regression line to predict the head circumference of a child who was 32 inches tall? Why?
Q
Pro
20
Residual
Q
G
2
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 oblains the accompanying dala. Complete parts (a) through (g) below. Click the icon to view the children's data. 24 Residual Q G Residual O A. Yes the calculated model can be used for any child's height. OB. Yes this height is possible and within the scope of the model. Q O C. No-this height is outside the scope of the model. OD. No this height is not possible. E. More information regarding the child is necessary to make the decision. Click to select your answer(s). FT. Residua (f) Notice that two children are 26.5 inches tall. One has a head circumference of 17.3 inches; the other has a head circumference of 17.5 inches. How can this be? O A. The only explanation is that the difference is due to the fact that one observation was of a boy, and one observation was of a girl. OB. There is no logical explanation for this-the two observations in question should have had the same head circumference. The only explanation is that the difference was caused by measurement error. O C. OD. For children with a height of 26.5 inches, head circumferences vary. (g) Would it be reasonable to use the least-squares regression line to predict the head circumference of a child who was 32 inches tall? Why? Q Pro 20 Residual Q G 2
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