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 27.5 25.5 27.75 17.5 17.1 26 250 16.9 17.6 17.3 B. Ho: B1 =0 H;: P, *0 OC. Ho: Po =0 H;: Po *0 O D. Ho: Po =0 H;: Bo >0 Determine the P-value for this hypothesis test. P-value = 0.005 (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 a = 0.01. O B. 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 a = 0.01. OC. Reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. O D. Do not reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance a = 0.01. (e) Use technology construct a 95% confidence interval the slope the true least-squares regression line. Lower bound: Upper bound:
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 27.5 25.5 27.75 17.5 17.1 26 250 16.9 17.6 17.3 B. Ho: B1 =0 H;: P, *0 OC. Ho: Po =0 H;: Po *0 O D. Ho: Po =0 H;: Bo >0 Determine the P-value for this hypothesis test. P-value = 0.005 (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 a = 0.01. O B. 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 a = 0.01. OC. Reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01. O D. Do not reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance a = 0.01. (e) Use technology construct a 95% confidence interval the slope the true least-squares regression line. Lower bound: Upper bound:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
What is:
- Lower bound
- Upper bound
- Suppose a child has a height of 26.5 inches. What would be a good guess for the child's head circumference?
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
27.5
25.5 27.75
26
250
17.5
17.1
17.6
17.3
16.9
.....
в. Но: В1 -
= 0
H7: B1 #0
C. Ho: Po = 0
H4: Bo #0
D. Ho: Bo = 0
H1: Bo >
Determine the P-value for this hypothesis test.
P-value = 0.005 (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 a = 0.01.
B. 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 a 0.01.
C. Reject Ho and conclude that a linear relation does not exist between a child's height and head circumference at the level of significance a = 0.01.
D. Do not reject Ho and conclude that a linear relation exists between a child's height and head circumference at the level of significance a = 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:
(Pouno to three dooimel ploces os no eded )
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt