Least Square Approximation of Percentage Body Fat for Black Women

Abstract

This work analyzes the least square model describing the response variable (Percentage Body Fat) with twoindependent variables, the Body Mass Index (BMI) and the Skin-fold. We show that with little disturbance of themodel, generated six parameters were obtained which approximate the percentage body fat. The result obtainedfrom MATLAB inbuilt function was compared with that of MAPLE programming and the approximation of themodel was significantly equal. We also considered the goodness of fit test, the test hypothesis at five percentlevel of significance for z, z and z- Ù. It was discovered that it was a good fit for the three values of Z. Thesignificance of the test shows that z, z and z- Ùwhere less than the critical points, hence falls within theacceptance region of the 2tab c .Key words: Body Mass index, Skin-fold, percentage body fat, essential body fat, storage body fat, bioelectricalimpedance analysis,