High School

Body fat percentage is a common means of monitoring a person progress during a diet or exercise program. A researcher wonders if they can predict the body fat percentage of a man based on the circumference of their abdomen. They take a random sample of 20 men and measure their body fat percentage and abdomen circumference, in cm. The results are stored in the file bodyfat excel file (given below in text). bodyfat excel file: ID body fat abdomen 1 15.2 84.3 2 21.3 100.5 3 30.4 109 4 18.7 97.6 5 19.2 95.1 6 16.5 83.9 7 28 104.2 8 30.7 102.4 9 13.9 90 10 12.3 85.2 11 34.3 115.9 12 26.2 98.8 13 16.5 88.2 14 21.9 148.1 15 8 81.9 16 20.4 92 17 32.3 105.5 18 17 79.7 19 9.4 77.6 20 13.8 86.6 Questions: (a) Identify the dependent and independent variables in this scenario.

Answer :

Final answer:

The dependent variable in this scenario is the body fat percentage, while the independent variable is the abdomen circumference.

Explanation:

In this scenario, the dependent variable is the body fat percentage of the man. This is the variable that is being measured and is expected to change based on the independent variable. The independent variable in this scenario is the abdomen circumference of the man. This is the variable that is being manipulated or controlled by the researcher.

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