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MATLAB: An Introduction with Applications
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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Problem: Have you ever tried fitting some pants on the girth of your neck? We want to test the common notion that if a folded waistline of the pants fits the girth of the neck, then it also fits the person's waistline. The following shows the waistline's girth (Y) and neck's girth (X) in centimeters of 11 VSU students. Student Neck's girth (X) 1 28 2 29 3 4 5 6 7 8 9 10 11 29 29 30 30 32 34 35 35 36 Waistline's girth (Y) 55 59 65 68 64 71 66 71 68 72 74 1. 2. Compute the correlation coefficient and interpret the result. Find the regression equation and interpret the coefficients. Plot the regression equation on the scatter diagram. 3. 4. Perform an analysis of variance and test the significance of the linear relationship between the waistline's girth and the neck's girth using 5% level of significance. 5. What is the predicted girth of the waistline for a student with a neck girth of 35 centimeters? 6. Give the 95% confidence interval for the slope. Interpret the result. 7. Give the 95% confidence interval of the expected girth of the waistline with a Xo = 35 centimeters girth of the neck. 8. What is the new regression equation if every student's neck girth were multiplied by 2? 9. Discuss your observations on the regression equations you obtained in (2) and (8).
Transcribed Image Text:Problem: Have you ever tried fitting some pants on the girth of your neck? We want to test the common notion that if a folded waistline of the pants fits the girth of the neck, then it also fits the person's waistline. The following shows the waistline's girth (Y) and neck's girth (X) in centimeters of 11 VSU students. Student Neck's girth (X) 1 28 2 29 3 4 5 6 7 8 9 10 11 29 29 30 30 32 34 35 35 36 Waistline's girth (Y) 55 59 65 68 64 71 66 71 68 72 74 1. 2. Compute the correlation coefficient and interpret the result. Find the regression equation and interpret the coefficients. Plot the regression equation on the scatter diagram. 3. 4. Perform an analysis of variance and test the significance of the linear relationship between the waistline's girth and the neck's girth using 5% level of significance. 5. What is the predicted girth of the waistline for a student with a neck girth of 35 centimeters? 6. Give the 95% confidence interval for the slope. Interpret the result. 7. Give the 95% confidence interval of the expected girth of the waistline with a Xo = 35 centimeters girth of the neck. 8. What is the new regression equation if every student's neck girth were multiplied by 2? 9. Discuss your observations on the regression equations you obtained in (2) and (8).
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