PHYSICAL AND PHYSIOLOGICAL MEASUREMENTS. 



79 



In the original series of women we find a slight negative correlation 

 between pulse-rate and gaseous exchange, the women with the slower 

 pulse showing the higher carbon-dioxide excretion. For oxygen con- 

 sumption the correlation is sensibly zero. The second series shows a 

 substantial positive correlation. The slight negative relationship 

 between pulse-rate and carbon-dioxide excretion in the original series 

 of women naturally pulls down the positive correlation in the supple- 

 mentary series, so that a resultant low positive correlation is obtained 

 in the total series of women. 



The correlation between pulse-rate and oxygen consumption is more 

 intimate than that between pulse-rate and carbon-dioxide excretion. 



If we determine the partial correlation between pulse-rate and 

 gaseous exchange for constant body-weight by the formulas 



w~po 



T T T 



* po ' wp wo 



Vi- 



r 2 



' wp 



A/1 r 2 

 v -L I wo 



w'pc 



v Y 



pc ' wp ' we 



A/1 _ r 2 A/1 _ r 2 

 A ' wp A 'we 



we find the results set forth in table 20. 



TABLE 20. Comparison of partial correlations between pulse-rate and gaseous exchange for 

 constant body-iceight with gross correlations between pulse-rate and gaseous exchange. 



In general, correction for body-weight has increased the intensity 

 of relationship between pulse-rate and gaseous exchange. This indi- 

 cates that the relationship is a real physiological one, and not merely 

 the incidental resultant of the correlation of both pulse-rate and 

 gaseous exchange with body-mass. The partial correlations for the 

 two series of women are now in agreement as far as signs are con- 

 cerned. These relationships will be analyzed more minutely on the 

 basis of total calories produced. 



