114 A BIOMETRIC STUDY OF BASAL METABOLISM IN MAN. 



alike. Thus the differences between the correlations and partial 

 correlations for the two sexes are : 



Correlation. Partial correlation. 



Men -0.3062^0.0524 



Women . . . - 0.2034 0.0637 



0.1028 0.0825 



-0.4995 0.0434 

 -0.5016 0.0497 



0.0021*0.0660 



The fact that correction for stature and body-weight has made the 

 constants sensibly identical gives us great confidence in the reality of 

 the physiological law connecting age change and metabolism. 



TABLE 40. Comparison of gross correlation between age and heat-production and partial 

 correlation between age and heat-production for constant stature, constant weight, 



and constant stature and weight. 



Having considered the intensity of the interrelationship of age and 

 total heat-production as measured on a universal standard scale, we 

 may now consider the actual amount of change in metabolism which 

 takes place with increase in age. This can best be done by expressing 

 the relationship in the form of regression equations. In these predic- 

 tion equations a = age in years, h = total heat per 24 hours, h k = heat- 

 production per 24 hours in calories per kilogram, and h D = heat-produc- 

 tion per 24 hours in calories per square meter of body-surface by the 

 Du Bois height-weight chart. Inserting the proper values in the linear 

 equations given on page 14 of Chapter II, we have the following values : 



Men, original series, athletes, N = 16 



h =2825.88 -43.03 a 



25.071 +0.025 a 



^=30.219-0.169 a 



Men, original series, others, N = 62 



h = 1671.89 -2.45 a 

 Men, original series, whole series, N = 89 



h = 1878.72 -9.19 a ^=29.241 -0.134 a 



Men, original series, Gephart and Du Bois selection, N = 72 



h = 1928.41 -11.85 a h k =28.322-0.098 a 



Men, first supplementary series, N = 28 



h = 1698.79 -3.65 a A fc =30.111 -0.167 a 



A D = 1119.61-6.17a 

 ^ = 1019.08-3.63a 

 h D = 1045.07 -4.38 a 

 A D = 1061 .81 -5.25 a 

 A D = 1013.81 -4.04 a 



