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. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.. C... y = 0.194 x + (12.5) (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. OA. 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.) C. For a head circumference of 0 inches, the height is predicted to be (Round to three decimal places as needed.) D. For every inch increase in height, the head circumference increases by 0.194 in., on average. (Round to three decimal places as needed.) OE. It is not appropriate to interpret the slope. Interpret the y-intercept, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OB. For every inch increase in height, the head circumference increases by (Round to one decimal place as needed.) in. OA. For a head circumference of 0 inches, the height is predicted to be in. (Round to one decimal place as needed.) ata Table in. Height (inches), x Head Circumference (inches), y D 27.75 17.8 24.75 17.3 25.75 17.4 26.25 17.7 25 17.1 28.25 17.9 26.75 17.5 27 26 26 27.5 17.7 17.5 17.7 17.8 ⒸC. For every inch increase in head circumference, the height increases by 12.5 in., on average. (Round to one decimal place as needed.) in., on average. X

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6:24
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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.
(a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the
response variable.
y = 0.194 x + (12.5)
(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.
OA. For every inch increase in head circumference, the height increases by in., on average.
(Round to three decimal places as needed.)
B. For a height of 0 inches, the head circumference is predicted to be
(Round to three decimal places as needed.)
OC. For a head circumference of 0 inches, the height is predicted to be
(Round to three decimal places as needed.)
D. For every inch increase in height, the head circumference increases by 0.194 in., on average.
(Round to three decimal places as needed.)
OE. It is not appropriate to interpret the slope.
B. For every inch increase in height, the head circumference increases by
(Round to one decimal place as needed.)
Interpret the y-intercept, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
OA. For a head circumference of 0 inches, the height is predicted to be in.
(Round to one decimal place as needed.)
Data Table
Height (inches), x Head Circumference (inches), y
17.8
17.3
17.4
17.7
17.1
17.9
17.5
Vo) 1
LTE2.II 4G.
27.75
24.75
25.75
26.25
25
28.25
26.75
27
26
26
27.5
OC. For every inch increase in head circumference, the height increases by 12.5 in., on average.
(Round to one decimal place as needed.)
|||
=
Print
17.7
17.5
17.7
17.8
in.
Done
in.
O
0
in., on average.
Transcribed Image Text:6:24 59% 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. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. y = 0.194 x + (12.5) (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. OA. For every inch increase in head circumference, the height increases by in., on average. (Round to three decimal places as needed.) B. For a height of 0 inches, the head circumference is predicted to be (Round to three decimal places as needed.) OC. For a head circumference of 0 inches, the height is predicted to be (Round to three decimal places as needed.) D. For every inch increase in height, the head circumference increases by 0.194 in., on average. (Round to three decimal places as needed.) OE. It is not appropriate to interpret the slope. B. For every inch increase in height, the head circumference increases by (Round to one decimal place as needed.) Interpret the y-intercept, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For a head circumference of 0 inches, the height is predicted to be in. (Round to one decimal place as needed.) Data Table Height (inches), x Head Circumference (inches), y 17.8 17.3 17.4 17.7 17.1 17.9 17.5 Vo) 1 LTE2.II 4G. 27.75 24.75 25.75 26.25 25 28.25 26.75 27 26 26 27.5 OC. For every inch increase in head circumference, the height increases by 12.5 in., on average. (Round to one decimal place as needed.) ||| = Print 17.7 17.5 17.7 17.8 in. Done in. O 0 in., on average.
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