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 d. Determine the coefficient of determination (R 2 ) and interpret it. e. Test the significance of the relationship at the 5% significance level. f. What is the value of the standard error of the estimate (se). Then, comment on the fitness of the linear regression model?
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
d. Determine the coefficient of determination (R 2 ) and interpret it.
e. Test the significance of the relationship at the 5% significance level.
f. 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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