CORN AND HOG CORRELATIONS 
49 
Table 9. — The equations expressing the correlations within the central system of 
variables, corn price (P), summer hog price (S), winter hog price (W), and hog 
breeding (B) as the resultant of path coefficients) — Continued 
{Actual correlations are given in the second column, breeding being represented in parentheses by summer 
weight of the same year and winter pack of the following year. The calculated correlations are given in 
the last column] 
Calcu- 
lated 
value 
r B B n 
r« B ni 
Twb 1 ' 
r BB n 
r BB IV 
Twb" 
^bb" 
r«t> v 
r W u v 
r Bu v 
(-0.49, -0.45) = 
(-0.63,-0.58) = 
(-0.31,-0.18) = 
(+0. 07, +0. 20) ■ 
(-0.01,-0.36) = 
(-. ,+0.51) = 
(- , +0.48) = 
(-. ,-0. 01) = 
= +0.69 
+0.76 
= +0.36 
K-0. 12, -0.08): 
= (+0. 33, +0. 1 1) = 
= +0. 24 
= -0.09 
= -0.11 
= -0. 32 
= (+0.24, +0. 11): 
= (+0. 13, ..) 
= -0. 26 
= -0.34 
(-0.04,..) 
^rBP+frBp'+wrBB 1 
= ?r B p+m 
■■ir±*H-j . 
■■mr b-b 1 
:br 9 B I1 +drwB I +er B p+/rBB I 
= ir BB II +jr B B I 
mr bb 11 
: &r B B 1II +dr w -B II +/?"BB 11 
: fr B B m +.7>BB 11 
mr BB ni 
= &r 8 B IV +drwB III +/r B B 111 
^'rBB^+jrBB 111 
■mr B B lv 
: &r 8 B v +drwB IV +/r B B IV 
:2>BB T +J>BB ,V 
■mrBB v 
^r B B VI +dr W B v +/r BB ^ 
^crap+Zrsp'+mrsB 1 
/irwp+irws+jrwB 1 
: 'r W p+mr W B 
= ar B p+&+cr 8 p I +dr 8 w I +er S p II +/r 
= &r S w I +cr W p+^+erwp I +/rw B 
■firw+irBs+jrsB 1 
■■lr aF +mr Ba 
■■ir BW *+jr WB 
■mrBVi 1 
= fr7 - s 8 I +cr 8 p+drws+er S p I +/r B8 ~. 
= 5r 8 w I +drww I +e7-wP+/r E w I 
■-ir B ^+jr Ba --- 
= ?«r E8 I 
^Bw'H-jrBw 1 
= mr B w" 
^rss^+drwsM-ersp+ZrBs 1 -■ 
: &r 8 w III +dr W w II +/r B w 11 
-0.32 
-0.75 
-0.43 
-0.05 
-0.57 
+0.20 
+0.37 
-0.02 
+0.23 
+0.01 
+0.32 
-0.12 
-0.21 
0.00 
-0.13 
0.00 
-0.18 
+0.64 
+0.65 
+0.32 
+0.04 
+0.39 
+0.31 
+0.01 
-0.03 
-0.25 
+0.30 
+0.17 
-0.14 
-0.20 
-0.22 
-0.11 
-0.05 
-0.22 
Having obtained those equations, approximate solutions for the 
13 variables were found by repeated trial. In view of the impossi- 
bility of fitting all the equations exactly, as well as the rather high 
probable errors of the correlations, the path coefficients were solved 
only to the nearest multiple of 0.05. The following are the results 
(Table 10) using primes to represent preceding years as in the dia- 
gram. 
Table 10. — The central system of path coefficients 
Hog breeding (B) 
a (Corn price) —0. 45 
c (Corn price') —0.85 
e (Corn price") — 0. 15 
b (Summer price) +0. 35 
d (Winter price') +0.65 
/ (Breeding') +0. 10 
Summer price (S) 
a (Corn price) +0.15 I i (Breeding') -0.40 
h (Corn price') +0. 50 I j (Breeding") _ -0.40 
Winter price (W) 
k (Corn price) 4-0. 45 | m (Breeding') —0.65 
I (Corn price') +0.25! 
