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(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)

(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)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 11.2EP
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answer part e only

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 OD. Ho: Po=0 Hi Bo=0 27.75 17.6 27 27.5 25.5 26.75 17.5 17.5 17.1 17.3 Determine the P-value for this hypothesis test P-value = 0.009 (Round to three decimal places as needed.) What is the conclusion that can be drawn? A. Reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance α = 0.01. OB. Do not reject Ho 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. OC. Do not reject Ho 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 Ho 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. (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: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 OD. Ho: Po=0 Hi Bo=0 27.75 17.6 27 27.5 25.5 26.75 17.5 17.5 17.1 17.3 Determine the P-value for this hypothesis test P-value = 0.009 (Round to three decimal places as needed.) What is the conclusion that can be drawn? A. Reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance α = 0.01. OB. Do not reject Ho 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. OC. Do not reject Ho 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 Ho 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. (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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