BULLETIN 504, U. S. DEPARTMENT OF AGRICULTURE. 
Table II. — Calculation of coefficient of correlation between profit and weight 
per head. 
Farm Xo. 
Profit 
per head. 1 
X. 
[ 
Weight 
per head. 
y. 
Y 2 - 
xy. 
Pounds. 
1 
+S12.07 
+11.29 
+127.69 
785 
- 49 
+2, 401 
- 553.7 
2 
- 22.98 
-23.76 
566.44 
750 
- 84 
7,056 
+ 1,999.2 
3 
+ 2.79 
+ 2.01 
4.00 
690 
-144 
20. 736 
- 288.0 
4 
+ 6.07 
+ 5.29 
28.09 
820 
- 14 
196 
- 74.2 
5 
- 14.05 
-14.83 
219. 04 
852 
+ 18 
324 
- 266. 4 
6 
- 9.93 
-10.71 
114.49 
1,000 
+ 166 
27, 556 
- 1,776.2 
7 
+ 13.68 
+ 12.90 
166.41 
825 
- 9 
81 
- 116.1 
8 
+ 15.15 
+14.37 
207.36 
825 
- 9 
81 
- 129.6 
9 
+ 27.42 
+26.64 
707.56 
800 
- 34 
1,156 
- 904.4 
10 
- 8.92 
- 9.70 
94.09 
875 
+ 41 
1,681 
- 397. 7 
11 
- 19.09 
-19.87 
396.01 
922 
+ 88 
7,724 
- 1,751.2 
12 
-1- 18.75 
+17.97 
324.00 
810 
- 24 
576 
- 432.0 
13 
- 7.07 
— 7.85 
62.41 
1,080 
+246 
60,516 
- 1,943.4 
14 
+ 13.53 
+12.75 
163.84 
1,048 
+214 
45,796 
+ 2,739.2 
15 
+ 38.15 
+37.37 
1.398.76 
1,012 
+178 
31. 684 
+ 6,657.2 
16 
+ 9.83 
+ 9.05 
81.00 
1.000 
+166 
27. 556 
+ 1,494.0 
17 
+ 19.05 
+18.27 
334.89 
807 
- 27 
729 
- 494.1 
18 
- 5.73 
- 6.51 
42.25 
915 
+ 81 
6,561 
- 526. 5 
19 
- 2.39 
- 3.17 
10.24 
910 
+ 76 
5, 776 
- 243.2 
20 
+ 10.93 
+10.15 
104.04 
890 
+ 56 
3,136 
+ 571.2 
21 
+ 9.67 
+ 8.89 
79.21 
876 
+ 42 
1,764 
+ 373.8 
22 
- 3.65 
— 4.43 
19.36 
988 
+154 
23,716 
- 677. 6 
23 
+ 49.37 
+48.59 
2,361.96 
1,050 
+216 
46, 656 
+10.497.6 
24 
- 7.28 
- 8.06 
65.61 
798 
- 36 
1.296 
+ 291.6 
25 
- 43.00 
-43.78 
1,918.44 
675 
-159 
25,281 
+ 6.964.2 
26 
+ 5.65 
+ 4.87 
24.01 
689 
-145 
21.025 
- 710.5 
27 
+ 0.59 
- 0.19 
.04 
860 
+ 26 
676 
5.2 
28 
- 7.71 
- 8.49 
72.25 
746 
- 88 
7, 744 
+ 748. 
29 
- 2.78 
- 3.56 
12.96 
850 
+ 16 
256 
- 57.6 
30 
- 1.36 
- 2.14 
4.41 
890 
+ 56 
3,136 
- 117.6 
31 
+ 6.76 
+ 5.98 
36.00 
859 
+ 25 
625 
+ 150. 
32 
+ 7.91 
+ 7.13 
50.41 
765 
- 69 
4,761 
- 489.9 
33 
+ 18.07 
+ 17.29 
299.29 
744 
- 90 
8,100 
- 1,557.0 
34 
+ 1.33 
+ 0.55 
.36 
700 
-134 
17, 956 
- 80.4 
35 
- 32.63 
-33.41 
1,115.56 
740 
- 94 
8,836 
+ 3,139.6 
36 
+ 12.97 
+12.19 
148.84 
800 
- 34 
1-156 
- 414.8 
37 
+ 11.15 
+10.37 
108. 16 
800 
- 34 
1,156 
- 353.6 
38 
- 43.71 
—44.49 
1,980.25 
740 
- 94 
8.836 
+ 4.1S3.0 
39 
+ 18.15 
+17.37 
302. 76 
700 
-134 
17, 956 
- 2.331.6 
40 
- 9.86 
-10.64 
112.36 
785 
- 49 
2.401 
+ 519.4 
41 
+ 2.18 
+ 1.40 
1.96 
656 
-178 
31.684 
- 249.2 
42 
+ 23.99 
+23.21 
556. 96 
925 
+ 91 
8,281 
+ 2,111.2 
43 
- 22.97 
-23.75 
566.44 
766 
- 68 
4, 624 
+ 1,618.4 
44 
- 12.73 
-13.63 
184.96 
750 
- 84 
7.056 
+ 1,142.4 
45 
+ 11.80 
+ 11.02 
121.00 
805 
- 29 
841 
- 319.0 
46 
- 22.90 
-23.68 
561.69 
924 
+ 90 
8.100 
- 2,133.0 
47 
+ 0.27 
- 0.51 
.25 
800 
- 34 
1,156 
+ 17.0 
48 
+ 5.37 
+ 4.59 
21.16 
800 
- 34 
1,156 
- 156.4 
49 
+ 5.33 
+ 4.55 
21.16 
862 
+ 28 
784 
+ 128.8 
50 
+ 2. 82 
+ 2.04 
4.00 
800 
- 34 
1,156 
68.0 
51 
+ 16.68 
+15.90 
252.81 
840 
+ 6 
36 
+ 95.4 
52 
- 7.07 
- 7.85 
60.84 
840 
+ 6 
36 
- 46.8 
53 
- 3.09 
- 3.87 
15.21 
650 
-184 
33.S56 
+ 717.6 
54 
- 24.04 
-24.82 
615.04 
775 
- 59 
3,481 
+ 1,463.2 
55 
- 10.45 
-11.23 
125.44 
741 
- 93 
8,649 
+ 1,041.6 
56 
+ 2.83 
+ 2.05 
4.00 
768 
- 66 
4.356 
- 132.0 
57 
- 0.09 
- 0.87 
.81 
1,060 
+226 
51.076 
- 203.4 
58 
+ 3.88 
+ 3.10 
9.61 
900 
+ 66 
4,356 
+ 204.6 
59 
- 6.42 
- 7.20 
51.84 
793 
- 41 
1,681 
+ 295.2 
60 
- 8.37 
- 9.15 
84.64 
855 
+ 21 
441 
- 193. 2 
61 
- 27.61 
-28.36 
806.56 
850 
+ 16 
256 
- 454.4 
62 
+ 1.64 
+ 0.86 
.81 
915 
+ 81 
6,561 
+ 72.9 
63 
- 0.18 
- 0.96 
1.00 
811 
- 23 
529 
+ 23.0 
64 
- 1.00 
- 1.78 
3.24 
775 
- 59 
3,481 
+ 106.2 
65 
+ 8.00 
+ 7.22 
51.84 
742 
- 92 
8,464 
- 662.4 
66 
+ 5.55 
+ 4.77 
23.04 
827 
— 7 
49 
33.6 
67 
+ 21.73 
+20.95 
441.00 
950 
+116 
13, 456 
+ 2,436.0 
Average, 
18.452.16 
Average, 
660. 257 
+30,457.6 
+0.78 
<rx=$16.60 
834 
<r y =991bs. 
:xu 
+30457.6 
'~mr x a v (67) (10.60) (99) 
Er= ± .6745 l -^L= ± .076 
+0.277 
1 A plus sign before the quantity in this column indicates a profit, a minus sign a loss. 
The quantities in the column headed x are given to two places of decimals, but it was 
found that the use of one decimal place would give the quantities in the x- and xy 
columns with sufficient accuracy, and the computations were made accordingly. Thus, 
for farm No. 1, (11.3) s =127.69, and (+11.3) )-49)= —553.7. 
