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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.