PEOCEEDINOS OF SECTION ti 



531 



Talking the mule (ixperieucc iov lt\e piirjxise of illustriitioii. we 

 have the following procedure foi' (ietennining tiie values of a, 7, /?. 

 and c: — 



Ta/Ae VI. 



X. 





 1 

 2 

 3 

 4 



Differencing the^^e values successively wo have — 



Table VII 



y 4. /3(c— 1) — —-03561 



7 + /3c(c— 1) = - -00488 



7 + /5c2(c-l) = - -00100 



7 + ficHc—i) - - -00057 



Differencing agnin we obtain — 



Table VIII. 



/3(c — 1)2 = -03073 

 /3c(c — 1)2 = -00388 

 /3c2(c-l)2 = -00043 

 These latter le-ults give us fhe most prol>nl!le v.ilue of c~ 

 •00388 + • 00043 _ • 043 1 _ . ^.^^-g 

 •03073 + -00388 ~ ^3461 

 Similarly, for the most probable value of /3 we have — 



-03073 + -00388 + -00043 03504 ,»miM 



(c3 _ i)(,. _ 1) — -99807 X -87547 ~~ 



To determine the most probable values of a and y, the most 

 satisfactory course is to compute the values of /3c^, /3c, ftc^, /3c^, and 

 fic'^ from the values of /3 and c now obtained, and to substract these 

 values from t-be successive items in Table YI. 



This operation gives — 



Table IX. 



