# Table 1 List of excluded countries due to insufficient data on BMI

Country / Territory UN code Adult pop. (2005)
Other non-specified areas (Taiwan) 158 18,405,317
Serbia 688 8,037,649
China, Hong Kong SAR 344 5,840,953
Puerto Rico 630 2,936,606
Occupied Palestinian Territory 275 1,928,679
Réunion 638 582,423
Montenegro 499 502,268
China, Macao SAR 446 401,495
Martinique 474 313,280
Western Sahara 732 301,959
French Polynesia 258 185,626
New Caledonia 540 168,610
Netherlands Antilles 530 143,172
French Guiana 254 130,255
Channel Islands 830 124,942
Guam 316 119,046
Mayotte 175 101,272
United States Virgin Islands 850 84,706
Aruba 533 79,238
TOTAL:   40,726,117
1. Formula for estimating the expected (average) weight (W) in a specific age-sex group where mean and variance of BMI and of height.
2. Using the following notation for each individual values of BMI and W: $b=\left(BMI-\overline{BMI}\right)\phantom{\rule{0.12em}{0ex}}\text{and}\phantom{\rule{0.75em}{0ex}}h=\left(H-\overline{H}\right)$
3. The expected weight in a group of individuals would be: $\begin{array}{l}E\left(W\right)=E\left(BMI×{H}^{2}\right)=E\left(\left(\overline{BMI}+b\right)×{\left(\overline{H}+h\right)}^{2}\right)=E\left(\left(\overline{BMI}+b\right)×\left({\overline{H}}^{2}+{h}^{2}+2\overline{H}h\right)\right)\\ =E\left({\overline{H}}^{2}\overline{BMI}+{h}^{2}\overline{BMI}+2\overline{H}h\overline{BMI}+{\overline{H}}^{2}b+{h}^{2}b+2\overline{H}hb\right)\\ ={\overline{H}}^{2}\overline{BMI}+E\left({h}^{2}\right)\overline{BMI}+E\left(h\right)2\overline{H}\overline{BMI}+E\left(b\right){\overline{H}}^{2}+E\left(b{h}^{2}\right)+E\left(hb\right)2\overline{H}\\ ={\overline{H}}^{2}\overline{BMI}+E\left({h}^{2}\right)\overline{BMI}+E\left(b{h}^{2}\right)+E\left(hb\right)2\overline{H}\end{array}$
4. Assuming that Height and BMI are independent: $COV\left(H,BM\right)=0⇒E\left(hb\right)=0$
5. Assuming that the variance of Height is constant in all values of BMI: $E\left(b{h}^{2}\right)=0$
6. Therefore the above equation simplifies to: $\phantom{\rule{0.5em}{0ex}}E\left(W\right)=\overline{BMI}×\left({\overline{H}}^{2}+V\left(H\right)\right)$ 