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...

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	26.5	26.75	25.5	27.5	25
Head Circumference (inches), y	17.3	17.3	17.1	17.5	16.9

(a) Use technology to determine sb1.

sb1=_____?

(Round to four decimal places as needed.)

(b) Test whether a linear relation exists between height and head circumference at the

α=0.01

level of significance. State the null and alternative hypotheses for this test.

Choose the correct answer below.

A. H0: β1=0 H1: β1>0

B. H0: β0=0 H1: β0≠0

C. H0: β0=0 H1: β0>0

D. H0: β1=0 H1: β1≠0

Determine the P-value for this hypothesis test.

P-value=____?

(Round to three decimal places as needed.)

What is the conclusion that can be drawn?

A. Do not reject H0 and conclude that a linear relation does not exist

between a child's height and head circumference at the level of significance

α=0.01.

B. Do not reject H0 and conclude that a linear relation exists

between a child's height and head circumference at the level of significance

α=0.01.

C. Reject H0 and conclude that a linear relation exists

between a child's height and head circumference at the level of significance

α=0.01.

D. Reject H0 and conclude that a linear relation does not exist

between a child's height and head circumference at the level of significance

α=0.01.

Jun 09, 2022

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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...

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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...

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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...