CORRELATED VARIABILITY. 53 



Log ^=9.5900512 Log A2 = 9.1801024 /i 2 -. 151392 



Log A;=9.2497412 Log A; 2 = 8. 4994824 & 2 = .031585 



Log fcfc =8.8397924 A 2 +fc 2 .182977 



fc 2 +fc 2 

 hk = . 069150 }Afc = .034575 J =.091489 



Log (450 X 203 - 275 X 185) = 4.607 1869 



Log HK = - log 2 TT - .091489 log e 



= 9.2018201 -M8.9613689 + 9.63778428] 

 = 9.2018201-0.0397332 = 9.1620869 



log 11 13) = 9.3521096 



Solving .03457 5r 2 +r-. 224962 = 0, 

 1 V/l +40034575 X .224962) 



-^034575)- 

 2 _ x = _ .848608 fc 2 - 1 = - .968415 Coeff . r 3 = .136967 



Coeff. 



24 



.024363r 4 + . 136967r 3 + .03457 5r 2 + r - .224962 = 0. 

 Applying Newton's approximation, we reach the result 

 r = .2217. 



fi744.Q 



E. r = ^^(75095 + 303530& 5 2 + 2813000 1 2 



n 5 w 



Log w = l 



-Iog(l-r2)-log2] 



} l 2 + j c 2-2rhk =0.152315, l-r 2 = 0.950850. 



Log ^o =9.20182 - 9.989056 - M9.637784 + 9.18274 - 9.978112 - 0.30103] 

 = 9.1779797 



. 

 Log ^^ = 9.828975 -4.569743 -9.177980 =4.081253. 



n'a>o 



^=0.358614 ^2=0.093794 



From Table IV: 



<f>2 



.358 .13983 .093 .03705 

 22.2 27.3 



.4 3.5 



<!>i = .14006 ^2 - .03736 



Log E. r = 4. 0812530 + ilog 74426. 858 

 E. r = 0.03289 



