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 27.75 17.6 27.5 25.5 17.1 25 260 17.3 17.5 16.9 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of Bo and B1- Bo s bo = 11.2571 (Round to four decimal places as needed.) B1 sb, = 0.2286 (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate, s. Se = 0.0756 (Round to four decimal places as needed.) (c) A normal probability plot suggests that the residuals are normally distributed. Use technology to determine sp. = 0.0310 (Round to four decimal places as needed.)

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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
27.75
17.6
260
17.3
27.5
25.5
25
17.5
17.1
16.9
(a) Treating height as the explanatory variable, x, use technology to determine the estimates of Bo and B1
Bo bo = 11.2571 (Round to four decimal places as needed.)
B1 b, = 0.2286 (Round to four decimal places as needed.)
(b) Use technology to compute the standard error of the estimate, se
= 0.0756 (Round to four decimal places as needed.)
Se
%3D
(c)A normal probability plot suggests that the residuals are normally distributed. Use technology to determine s,.
= 0.0310
(Round to four decimal places as needed)
Transcribed Image Text: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 27.75 17.6 260 17.3 27.5 25.5 25 17.5 17.1 16.9 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of Bo and B1 Bo bo = 11.2571 (Round to four decimal places as needed.) B1 b, = 0.2286 (Round to four decimal places as needed.) (b) Use technology to compute the standard error of the estimate, se = 0.0756 (Round to four decimal places as needed.) Se %3D (c)A normal probability plot suggests that the residuals are normally distributed. Use technology to determine s,. = 0.0310 (Round to four decimal places as needed)
ad circumterence. She randomly selects
Height (inches), x
Head Circumference (inches), y 176
rence. The data are summarized below Complete parts (a) through (f) below.
25.5 25
17.1
27 75
27.5
17.5
26
17.3
16.9
O A. Reject H, and conclude that a linear relation does not exist between a child's height and head circumference at the level of
B. Reject H, and conclude that a linear relation exists between a child's height and head circumference at the level of significa
O C. Do not reject H, and conclude that a linear relation exists between a child's height and head circumference at the level of si
O D. Do not reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the le
(e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line.
Lower bound:
Upper bound:
(Round to three decimal places as needed.)
Transcribed Image Text:ad circumterence. She randomly selects Height (inches), x Head Circumference (inches), y 176 rence. The data are summarized below Complete parts (a) through (f) below. 25.5 25 17.1 27 75 27.5 17.5 26 17.3 16.9 O A. Reject H, and conclude that a linear relation does not exist between a child's height and head circumference at the level of B. Reject H, and conclude that a linear relation exists between a child's height and head circumference at the level of significa O C. Do not reject H, and conclude that a linear relation exists between a child's height and head circumference at the level of si O D. Do not reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the le (e) Use technology to construct a 95% confidence interval about the slope of the true least-squares regression line. Lower bound: Upper bound: (Round to three decimal places as needed.)
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