1. The data are taken from Mazess, R. B., Peppler, W. W., and Gibbons, M. Total body composition by dualphoton (153Gd) a

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1 The Data Are Taken From Mazess R B Peppler W W And Gibbons M Total Body Composition By Dualphoton 153gd A 1 (74.68 KiB) Viewed 90 times

1. The data are taken from Mazess, R. B., Peppler, W. W., and Gibbons, M. Total body composition by dualphoton (153Gd) absorptiometry. American Journal of Clinical Nutrition, 40, 834-839, 1983. A new method of measuring the body fat percentage is investigated. The body fat, age (between 23 and 61 years), and gender (4 males and 14 females) of 18 normal adults are listed below. Y =% Fat X₁ = Age X₂ = Gender 9.5 23 27.9 23 7.8 27 17.8 27 31.4 39 25.9 41 27.4 45 25.2 49 31.1 50 34.7 53 42.0 53 29.1 54 32.5 56 30.3 33.0 33.8 41.1 34.5 57 58 58 60 61 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 000 (a) Graph body fat against age and gender. (b) Consider a regression model with age and gender as the explanatory variables using F-test at a = 0.05. (c) Interpret the results, and discuss the effects of age and gender using t-test at a = 0.05. (d) Is it useful to include an interaction term for age and gender?