CORN AND HOG CORRELATIONS 
11 
Table 1. — The values of the corn and hog variables, 1871 to 1915, inclusive, on 
which the present investigation is based 
[These values, together with the trends, are shown graphically in Figures 1 to 15, inclusive] 
Cora 
Western hog pack 
Hogs, miscel- 
laneous 
© 
1? 
'© 
Price per 
100 
pounds 
Live 
weight 
per hog 
Number 
packed 
Weight of 
pack, pounds 
Total 
number 
packed 
© 
Pi 
S 1 
ar 
© 
9 
.a 
.a 
s. 

p. 
© 
a 
© 
© 
a 
© 
© 
a 
© 
© 
c 
© 
0. 
a 
c3 
a 
i 
"o 
w 
a 
a 
a 
a 
a 
c 
s 
a 
B-s 
£ 
>H 
D 
H< 
3 
£ 
3 
£ 
=3 
fe 
£ 
* 
h 
Millions 
Bu. 
Millions 
Cts. 
Lbs. 
Lbs. 
Ms. 
Ms. 
Millions 
Millions 
Ms. 
Ms. 
1870 . . 
39.3 
36.1 
28.3 
29.1 
1,111 
1,051 
49.4 
43.4 
1 _ 
1871— 
$4.12 
285 
250 
4,832 
1, 3751 5,082| 
5.61 
1872 . _ 
37.3 
30.8 
1,149 
35.3 
3.73 
291 
506 
5,410 

1,5721 5,916| 
4.01 
1873 _. 
41.8 
23.8 
995 
44.2 
4.34 
269 
1,063 
5,466 
1,469 6,529 
3.67 
1874.. 
44.5 
20.7 
921 
58.4 
6.66 
262 
1,200 
5,566 
1,459! 6,767 
3.98 
1875... 
49.4 
29.5 
1,457 
36.7 
7.05 
272 
1,262 
4,880 
1,328 6,142 
4.80 
1876... 
54. 9| 26. 2 
1,438 
34.0 
5.74 
270! 2,308 
5,101 
1,377! 7,409 
6.00 
1877... 
57.3 
26.7 
1,530 
34.8 
3.99 
283 2,543' 6,505 
1,8381 9,049 
5.66 
1878... 
59.6 
26.9 
1.604 
31.7 
2.85 
271 
3,378 .7,481 
3,03010,859 
4.85 
1879... 
62.4 
29.2 
1,821 
37.1 
| 4.18 
266 
4,051 6,950 
1,850 ill, 002 
3,827 
3.18 
1880... 
61.8 
27.6 
1,706 39.6 
$4.20 4.64 
260 
5,324 6,919 
1,79612,243 
3,910 
4.28 
1881... 
63.2 
18.6 
1,176 63.6 
5.65 6.06 
263 4,804! 5,748 
1,51010,551 
3,920 
4.70 
1882— 
64.0 
24.6 
1,575| 48.5 
7.20 6.28 
267 
3,211; 6,132 
1,637 9,343 
3,783 
5.97 
1883... 
66.1 
22.7 
1,500 
42.4 
5.60! 5.18 
251 
3,781! 5,402 
1,358! 9,183 
4,072i 6.75 
1884... 
66.9 
25.8 
1,725 
35.7 
5.35 4.29 
267 
4,059 6,460 
1,72210,519 
4,208 5.57 
1885... 
69.6 
26.5 
1,844 
32.8 
3.90 3.66 
259 
4,965 6,299 
1,63111,264 4,562; 5.02 
1886... 
71.4 
22.0 
1,571 
36.6 
4.10 4.19 
251 
5,644 6,439 
1,618 12, 083 '4, 900! 4.26 
1887... 
67.7 
20.1 
1,362 
44.4 
4.75 5.04 
242 
5,612 5,921 
1,435 11, 533 4,857 4.48 
1888... 
70.2 
26.3 
1,847 
34.1 
5.58 4.99 
263 
5,315; 5,484 
1,44510,799 4,851 4.98 
1889... 
72.1 
27.0 
1,946 
27.4 
4.30 3.66 
246 
251 
6,882 6,664 
1,695 
1,672 13, 545 '5, 361 1 5.79 
1890... 
70.4 
20.7 
1,460 
50.0 
3.91 3.54 
238 
240 
9,540 8,173 
2,275 
1, 95917,71316, 253' 4.72 
1891... 
74.5 
27.6 
2,056 
39.7 
4.48 3.91 
222 
248 
6,696! 7,761 
1,485 
1,922 14, 458 16, 456! 4.15 
1892... 
72.6 
23.6 
1,714 
38.8 
5.03 6.54 
222 
228 
7,757; 4,634 
1,725 
1,055 12, 391 15, 806 i 4.60 
1893— 
74.4 
22.9 
1,708! 35.9 
6.33 5.26 
240 
248 
6,721' 4,884 
1,616 
l,212ill, 605 5,184! 0.41 
1894... 
69.4 
19.3 
1,340 45.1 
4.98 4.28 
230 
233 8,812 7,192 
2,027 
1,674 16, 00415, 616' 5.98 
1895... 
85.6 
27.0 
2, 311 1 25.0 
4.41 3.68 
227 
241 
8,195 6,816 
1,856 
1,64115,011:5,470; 4.97 
1896— 
86.6 
28.9 
2, 503 i 21.3 
3.30 3.30 
241 
245 
9.980 1 6,949 
2,403 
I,70l!l6,929j5,747: 4.35 
1897... 
88.1 
24.3 
2.145J 26.0 
3.70 3.53 
239 
235 
11,760! 8,441 
2,812 
1,987|20,201 15,933 4.10 
1898... 
88.3 
25.6 
2,261 28.4 
3.85 3.52 
231 
233 
13,932 9,720 
3,223 
2,261 
23,652:6,142 
4.39 
1899... 
94.9 
25.9 
2,455i 29.9 
4.00 4.29 
231 
236 
13,525 8,676 
3,130 
2,045 
22, 201 !5, 970 
4.40 
1900... 
95.0 
26.4 
2,505' 35.1 
5.12 5.02 
229 
230 
14,323: 9,278 
3,276 
2,137 
23,601)5,379 
5.00 
1901— 
94.6 
17.0 
1,6071 60.0 
5.92 5.97 
219 
206 
15,07110,340 
3,308 
25, 412 14, 985 
6.20 
1902... 
95.5 
27.4 
2, 621 1 40.0 
7.06 6.44 
223 
224 
12,147 8,459 
2,710 
1,895 
20,60614,641 
7.03 
1903... 
90.7 
25.8 
2,339 42.1 
6.11 4.74 
231 
223 
12,877 9,499 
2,975 
2,123 
22,376 5,242 
7.78 
1904... 
93.3 
27. 
2,521 
43.7 
5.16 4.67 
222 
222 
13,46210,457 
2,990 
2, 319 23, 918 ! 5, 773 
6.15 
1905... 
93.6 
29.3 
2,744 
40.7 
5.37 5.27 
222 
222 
15,07910,496 
3,343 
2, 333 125, 575 J5, 698 
5.99 
1906... 
93.6 
30.9 
2,896 
39.2 
6.33 6.46 
223 
223 
15,736 9,694 
3,511 
2, 161 25, 431 j5, 548 
6.18 
1907... 
95.0 
26.5 
2,512! 50. 9| 6.20 4.47 
230 
221 
16,80611,175 
3,869 
2,470 27,9816,419 
7.62 
1908... 
95.6 
26.6 
2,545, 60.01 5.87 5.87 
212 
209 
17,457 11. 54C 
3.697 
2,410 28, 997 16, 201 
6.05 
1909... 
98.4 
26.1 
2,572! 58.6! 7.42 8.30 
212 
212 
15,437 8,725 
3,265 
1,853124,162 5,761 
6.55 
1910... 
104.0 
27.7 
2,886 48.0; 9.08 7.58 
230 
231 
13,014 8,741 
2,990 
2,017 
21,756 
4,756 
9.17 
1911— 
105.8 
23.9 
2,531 61.8 6.49 6.12 
226 
212 
17, 733 12, 186 
3,999 
2,583 
29, 918 
6,165 
9.37 
1912... 
107.1 
29.2 
3,125 48.7 7.47 7.53 
218 
224 
14,96510,619 
3,270 
2,373 
25,584 
6,129 
8.00 
1913— 
105.8 
23.1 
2,447; 69.1 8.43 7.98 
221 
215 
16, 878 10, 744 
3,736 
2,323 
27,622 6,097 
9.86 
1914... 
103.4 
25.8 
2, 673 1 64. 4 ! 8.29 6.74 
236 
216 
14,82712,559 
3,504 
2, 718 :27, 386 16, 859 10. 40 
1915— 
106.2 
28.2 
2,995 57.5 7.33 7.05 
228 
204 
17,128il5,475 
3,909 
3, 153 132,602 6, 703 1 9.87 
The object of the present study is to find the way in which the 
annual fluctuations of these various quantities are related to one 
another. In order to use the recognized methods of measuring cor- 
relation it is necessary to get rid of the long-period trends. As an 
illustration, consider the case of western winter live weight and pork 
(figs. 10 and 12). Average live weight has been falling rather steadily 
since 1870 because of the changes in the type of hog demanded by 
the market. Pork production has been rising as the population of 
the country has increased. A direct calculation of the correlation 
between live weight and pork would thus show a strong negative cor- 
