256 



Journal of Agricultural Research 



Vol. Ill, No. 3 



CALCULATION OF RELATIVE VOLUMES 



After having determined the density of the several samples of milk and 

 cream at the various temperatures, the observations for each sample were 

 reduced by the method of least squares, as already stated, and the 

 value of £>35 , <t, and ^ determined for each sample. The values are 

 shown in Table IV. The method of reducing the observations to 



obtain constants in the assumed equations- 

 ^ — is as follows: 



-namely, values D^^„, cr, and 





(Q = /- 

 ic,c,a+ic^p=ycM. 



5001^ + 0= —0.1990. 

 + 40,000 jff= —0.140. 

 ot= —0.000398. 

 (3= —0.0000035. 



n 

 Xm= density at mean temperature = 

 Z)„ = mean of densities. 

 n = number of obsen^ations = 4. 



D,-iD,)„.) 



D„ 



■D,,-. = D„ 



12 



;S. 



X„ 



1)35. = 1 .02995 + 0.00044 = 1 .03039. 



Dt = D^. + a{t-35)+^{t-35y-- 



Dt = 1 .03039 - 0.000398 (/ - 35) - 0.0000035 (; - 35)' 



Calculation for Dt 



