92 A BIOMETRIC STUDY OF BASAL METABOLISM IN MAN. 



We now turn to the partial correlations between weight and heat 

 for constant stature. When we say we determine the correlation 

 between body-weight and total heat-production for constant stature 

 we mean that we determine from the whole material at our disposal, 

 by the use of appropriate formulas, the correlation which would be 

 found (within the limits of the probable errors of random sampling) 

 if it were possible to sort our materials into groups of individuals of 

 approximately like stature without so reducing the number of individ- 

 uals in the groups as to render untrustworthy the correlation between 

 weight and total heat-production. 



The physical relationships involved in such determinations should 

 be borne clearly in mind. If we determine the correlation between 

 weight and total heat-production in individuals of constant height it 

 is clear that the heavier individuals must be the " heavier set," plumper 

 or fatter individuals. 



-ZSOO 



-2300 



-Z/00 



1900 



-1700 



-1500 



-1300 



1100 



1 



77 



87 



37 



BODY WEIGHT IN KILOGRAMS 



DIAGRAM 13. Mean total daily heat-productions of adults, varying in body-weight. 



Obtaining the partial correlations for weight and total heat per 

 24 hours for constant stature by 



s'wh 



' wh 'ws 'sh 



_ r 2 Vl 'i 



1 WS * ' 



we find the following values for infants : 



For males 0.7520 0.041 1 0.5493 0.0660 



For females 0.8081 0.0357 0.4937 0.0778 



For both 0.7833 0.0269 0.5313 0.0499 



Correction for stature has very considerably reduced the correlation 

 between body- weight and total heat-production. In the case of boy 

 babies there is a reduction of 0.2027 or about 27 per cent, in the case 



