﻿208 



INDIANA UNIVERSITY STUDIES 



Equations of Condition. 



X - 



0.3060?/ 



- 0.6526p 



-0. 



170 



= 0 



X - 



0 . 2980?/ 



- 0 . 6882p 



- 0. 



257 



= 0 



X - 



0.2952?/ 



- 0.7001p 



- 0. 



124 



= 0 



X - 



0.2926?/ 



- 0.7110p 



- 0. 



093 



= 0 



X - 



0 . 2897?/ 



- 0.7235p 



- 0. 



079 



= 0 



X - 



0.2789?j 



- 0.7663/7 



-0. 



123 



= 0 



X - 



0.2761?/ 



- 0.7760p 



-0. 



043 



= 0 



X - 



0.2707?j 



- 0.7965p 



- 0. 



,001 



= 0 



X - 



0.2351?/ 



-0.9019p 



- 0, 



.092 



= 0 



X + 



0.2208?/ 



+ 0.7958p 



+ 0, 



,093 



= 0 



a; + 0.2235?/ + 0.8038p + 0.061 = 0 

 a: + 0 . 2262?/ + 0 . 8154p - 0 . 012 = 0 

 X + 0 . 2290?/ + 0 . 8252p + 0 . 094 = 0 

 x + 0.2318?/ + 0.8344p - 0.001 = 0 

 re + 0 . 2647?/ + 0 . 9257p + 0 . 158 = 0 



+ 0.2838?/ + 0.9611p + 0.178 = 0 

 X + 0.3003?/ + 0.9801p + 0.019 = 0 



Normal Equations. 



17a; - 0.5622?/+ 0.2254^- 0.306 =0 

 - 0 . 5622a: + 1 . 2185?/ + 3 . 6189p + 0 . 4103 = 0 

 + 0.2254X + 3.6189?/ + 11. 1186p + 1.1686 = 0 



x = - 0.01978 

 y = - 1.048 



V = +0.2363 Weight 0.1557 



Probable error of p = =^ 0. 1308 

 .'.p = +0.2363 -0.1308 



