8:35 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. (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. Data Table 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 17.9 17.5 17.7 28.25 26.75 27 26 26 27.5 2 | 46 | - 41% LTE2 Print 17.5 17.7 17.8 Done X average. ., on average. , fill in the answer box to average. average. (c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. y = 0.194 in. (Round to two decimal places as needed.)

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8:35
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.
(a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the
response variable.
Data Table
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.
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
17.7
17.5
17.7
17.8
26
26
27.5
(Round to
Print
two decimal places as needed.)
|||
LTE 2.1 4G
=
Done
O
X
average.
(c) Use the regression equation to predict the head circumference of a child who is 25 inches tall.
y = 0.194 in.
., on average.
41%
fill in the answer box to
average.
average.
Transcribed Image Text:8:35 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. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. Data Table 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. 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 17.7 17.5 17.7 17.8 26 26 27.5 (Round to Print two decimal places as needed.) ||| LTE 2.1 4G = Done O X average. (c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. y = 0.194 in. ., on average. 41% fill in the answer box to average. average.
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