Homework Help is Here – Start Your Trial Now!
Math
Statistics
11.2.1 Diabetes and obesity are serious health concerns in the United States and much of the developed world. Measuring the amount of body fat a person carries is one way to monitor weight control progress, but measuring it accurately involves either expensive X-ray equipment or a pool in which to dunk the subject. Instead body mass index (BMI) is often used as a proxy for body fat because it is easy to measure: BMI = mass(kg)/ (height(m))² = 703 mass(lb)/(height(in))². In a study of 250 men at Brigham Young University, both BMI and body fat were mea- sured. Researchers found the following summary statistics: n n E x = 6322.28 Σ x ² = 162674.18 i=1 i=1 n Σ.y; = 4757.90 i=1 n Σy? = 107679.27 i=1 n Σ.xy; = 125471.10 i=1 a. Estimate the error standard deviation. b. Estimate the standard deviation of the slope. c. What is the value of the t-statistic for the slope? d. Test the hypothesis that ß₁ = 0 at x = 0.05. What is the P-value for this test?

11.2.1 Diabetes and obesity are serious health concerns in the United States and much of the developed world. Measuring the amount of body fat a person carries is one way to monitor weight control progress, but measuring it accurately involves either expensive X-ray equipment or a pool in which to dunk the subject. Instead body mass index (BMI) is often used as a proxy for body fat because it is easy to measure: BMI = mass(kg)/ (height(m))² = 703 mass(lb)/(height(in))². In a study of 250 men at Brigham Young University, both BMI and body fat were mea- sured. Researchers found the following summary statistics: n n E x = 6322.28 Σ x ² = 162674.18 i=1 i=1 n Σ.y; = 4757.90 i=1 n Σy? = 107679.27 i=1 n Σ.xy; = 125471.10 i=1 a. Estimate the error standard deviation. b. Estimate the standard deviation of the slope. c. What is the value of the t-statistic for the slope? d. Test the hypothesis that ß₁ = 0 at x = 0.05. What is the P-value for this test?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 8CR
See similar textbooks
icon
Related questions
Question
Solve by hand without the use of any softwares or programs
11.2.1 Diabetes and obesity are serious health concerns in the United States and much of the developed world. Measuring the amount of body fat a person carries is one way to monitor weight control progress, but measuring it accurately involves either expensive X-ray equipment or a pool in which to dunk the subject. Instead body mass index (BMI) is often used as a proxy for body fat because it is easy to measure: BMI = mass(kg)/ (height(m))² = 703 mass(lb)/(height(in))². In a study of 250 men at Brigham Young University, both BMI and body fat were mea- sured. Researchers found the following summary statistics: n n Σ* = 6322.28 Σx = 162674.18 i=1 i=1 n n Σy; = 4757.90 Σy = 107679.27 i=1 i=1 n Σxy = 125471.10 i=1 a. Estimate the error standard deviation. b. Estimate the standard deviation of the slope. c. What is the value of the t-statistic for the slope? d. Test the hypothesis that ß₁ = 0 at α = = 0.05. What is the P-value for this test?
Transcribed Image Text:11.2.1 Diabetes and obesity are serious health concerns in the United States and much of the developed world. Measuring the amount of body fat a person carries is one way to monitor weight control progress, but measuring it accurately involves either expensive X-ray equipment or a pool in which to dunk the subject. Instead body mass index (BMI) is often used as a proxy for body fat because it is easy to measure: BMI = mass(kg)/ (height(m))² = 703 mass(lb)/(height(in))². In a study of 250 men at Brigham Young University, both BMI and body fat were mea- sured. Researchers found the following summary statistics: n n Σ* = 6322.28 Σx = 162674.18 i=1 i=1 n n Σy; = 4757.90 Σy = 107679.27 i=1 i=1 n Σxy = 125471.10 i=1 a. Estimate the error standard deviation. b. Estimate the standard deviation of the slope. c. What is the value of the t-statistic for the slope? d. Test the hypothesis that ß₁ = 0 at α = = 0.05. What is the P-value for this test?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS