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Table 7 Comparison of linear (eq. (16)) and non-linear (eq. (9)) regression expressions for predicting body fat fraction from BMI and age.

From: Physiological models of body composition and human obesity

Subjects ± Age Linear (eq. (16)) Non-linear Model I (eq. (9))
   a b c MSR BMI0 f1 c MSR
Male Caucasians No -.198 .0145 ---- 0.00426 17.98 .612 ---- .00432
  Yes -.252 .0132 .00212 0.00278 20.23 .485 .00199 .00303
Male Caucasian No -.177 .0137 ----- .0040 17.50 .583 ---- .00407
+Hispanic+Black Yes -.239 .0131 .00187 0.00285 19.80 .481 .00176 .00304
Male Asian Yes -.188 .0129 .00173 0.00212 16.75 .423 .00173 .00224
Male Puerto Rican Yes -.187 .0122 .00167 0.00199 18.77 .523 .00153 .00198
Female Caucasian No 0.0141 .0116 ----- 0.00413 14.01 .732 ----- .00332
  Yes -.0524 .0107 .00191 0.00298 15.03 .625 .00154 .00259
Female Caucasian +Hispanic+Black No 0.0228 .0112 ------ .00371 14.03 .721 ----- .00291
  Yes -.0442 .01107 .00173 0.00275 15.00 .632 .00135 .00235
Female Asian Yes -.119 .0157 .00124 0.00145 12.97 .561 .00124 .00148
Female Puerto Rican Yes 0.0463 .00943 .000972 .00164 13.38 .629 .000757 .00150
  1. The regression parameters (either a, b and c; or BMI0, f1 and c) and the mean square residual error (MSR) for the different ethnic groups are listed.