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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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