WEATHER AND CHANGE IN WEIGHT OF BEE COLONY 



39 



deviation of X due to each variable to the total deviation of X. 

 represents all residual or unknown factors. From such data we have 

 several simultaneous equations; as many in number as there are 

 variables considered. 



The following simultaneous equations are obtained: 



r X A = a + br AB +cr AC 

 rxB = ar A B+l +cr BC 

 r X c = ar A c+'brBc + c 



T.3 



Fio. 12. — Graphical representation of quantities and their relations involved in the correlation of facto 

 of increase of weight of the colony during the spring and fall honey flows 



By solving these simultaneous equations the values of the path 

 coefficients a, h, and c are derived. The total extent to which X is 

 determined by the variables A, B, and C is obtained from the follow- 

 ing formula (Wright) : 



l—d t = ar AX + hr BX + cr C x 



Applying this method to the correlations and other data obtained 

 relating to changes in weight of the colonies during the spring honey 

 flow (Table 2) and those for the fall honey flow (Table 5), calcu- 



