PHYSICAL AND PHYSIOLOGICAL MEASUREMENTS. 



91 



smaller subdivisions show fluctuations from r = 0.58 for the 19 men of 

 the second supplementary series to r = 0.96 for the 16 athletes of the 

 original series. 



For women the results are somewhat lower. For the original series 

 the correlation is r=0.76, a value in good accord with that for men, 

 but the constant for the supplementary series is only r=0.45, a con- 

 stant lower than the minimum relationship found in the several group- 

 ings of men. The low value in this supplementary series has the effect 

 of reducing the measure of interdependence based on the original 

 female series when the two are combined, with the resultant correlation 

 of r =0.61 for the 103 women. 



TABLE 29. Comparison of correlation between weight and total heat-production and partial 

 correlation between weight and total heat-production with stature constant. 



The nature of the relationship between body-weight and total heat- 

 production is clearly brought out by diagram 13, which gives the aver- 

 age heat-productions for each weight grade for both men and women 

 (total series) and the theoretical heat-productions due to the straight- 

 line equations, 



For total men # = 136 



For total women . . . N = 103 



fc = 617.493 +15.824 w 

 h = 884.5276 + 8.227 w 



Thus heat-production increases 15.8 calories for each kilogram of 

 body-weight in the men and 8.2 calories for each kilogram of body- 

 weight in the women. 



The averages for the women are very irregular and apparently not 

 well represented by a straight-line equation. The agreement of the 

 empirical and the theoretical means in the case of the men is excellent 

 for the groups containing a considerable number of subjects, i.e., for 

 those from 45 to 77 kilograms in weight. 



