A sample of 15, 10 years old children was taken to study whether watching television reduces the amount of physical exercise, causing weight gains. The number of kilograms each child was overweight by was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed in the table below.Television(hours) 42 34 25 35 37 38 31 33 19 29 38 28 29 36 18Overweight (Kg) 8 3 0 0 6 6 3 3 -4 4 4 2 1 6 -3Use an appropriate plot to investigate the relationship between Television(hours) and Overweight (KG). Briefly explain the selection of each variable on the X and Y axes and why? Calculate and interpret the coefficient of correlation (r) between Television(hours) and Overweight (KG). Estimate a simple linear regression model and present the estimated linear equation. Then, interpret the coefficient estimates of the linear model. Determine the coefficient of determination (R2 ) and interpret it.Test the significance of the relationship at the 5% significance level. What is the value of the standard error of the estimate (Se). Then, comment on the fitness of the linear regression model?

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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 sample of 15, 10 years old children was taken to study whether watching television reduces the amount of physical exercise, causing weight gains. The number of kilograms each child was overweight by was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed in the table below.

Television(hours) 42 34 25 35 37 38 31 33 19 29 38 28 29 36 18

Overweight (Kg) 8 3 0 0 6 6 3 3 -4 4 4 2 1 6 -3

Use an appropriate plot to investigate the relationship between Television(hours) and Overweight (KG). Briefly explain the selection of each variable on the X and Y axes and why?
Calculate and interpret the coefficient of correlation (r) between Television(hours) and Overweight (KG).
Estimate a simple linear regression model and present the estimated linear equation. Then, interpret the coefficient estimates of the linear model.
Determine the coefficient of determination (R² ) and interpret it.
Test the significance of the relationship at the 5% significance level.
What is the value of the standard error of the estimate (S_e). Then, comment on the fitness of the linear regression model?

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