A student is interested in the relationship between age (in years) and height (in centimeters) among students at her middle school. She randomly samples 30 students. The equation of the least-squares line is and the 95% confidence interval for slope is (2.05, 7.05). What is the correct interpretation of the confidence interval? A. 95% of all the sampled students grew between 2.05 and 7.05 centimeters per year. B. 95% of all the students at the middle school grew between 2.05 and 7.05 centimeters per year. C. There is a 95% probability that the slope of the true least-squares regression line relating age and height is between 2.05 and 7.05 centimeters per year. D. It can be stated with 95% confidence that the slope of the true least-squares regression line relating age and height is captured in the interval from 2.05 to 7.05 centimeters per year. E. If samples of size 30 were taken repeatedly, about 95% of those samples would have a slope relating age and height within the interval from 2.05 to 7.05 centimeters per year.
A student is interested in the relationship between age (in years) and height (in centimeters) among students at her middle school. She randomly samples 30 students. The equation of the least-squares line is and the 95% confidence interval for slope is (2.05, 7.05). What is the correct interpretation of the confidence interval? A. 95% of all the sampled students grew between 2.05 and 7.05 centimeters per year. B. 95% of all the students at the middle school grew between 2.05 and 7.05 centimeters per year. C. There is a 95% probability that the slope of the true least-squares regression line relating age and height is between 2.05 and 7.05 centimeters per year. D. It can be stated with 95% confidence that the slope of the true least-squares regression line relating age and height is captured in the interval from 2.05 to 7.05 centimeters per year. E. If samples of size 30 were taken repeatedly, about 95% of those samples would have a slope relating age and height within the interval from 2.05 to 7.05 centimeters per year.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
Question
A student is interested in the relationship between age (in years) and height (in centimeters) among students at her middle school. She randomly samples 30 students. The equation of the least-squares line is and the 95% confidence interval for slope is (2.05, 7.05). What is the correct interpretation of the confidence interval?
A. 95% of all the sampled students grew between 2.05 and 7.05 centimeters per year.
B. 95% of all the students at the middle school grew between 2.05 and 7.05 centimeters per year.
C. There is a 95% probability that the slope of the true least-squares regression line relating age and height is between 2.05 and 7.05 centimeters per year.
D. It can be stated with 95% confidence that the slope of the true least-squares regression line relating age and height is captured in the interval from 2.05 to 7.05 centimeters per year.
E. If samples of size 30 were taken repeatedly, about 95% of those samples would have a slope relating age and height within the interval from 2.05 to 7.05 centimeters per year.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill