BULLETIN 504, U. S. DEPARTMENT OF AGRICULTUEE. 



Table II. — Calculation of coefficient of correlation between profit and weight 



per head. 



Farm Xo. 



Profit 

 per head.i 



X. 



X2. 



Weight 

 per head. 



y- 



y'- 



xy. 











Pounds. 









1 



+$12.07 



+11.29 



+127. Cg 



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. 



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 



+ l.i.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 



+ 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 



+ 748.0 



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 



+ 150.0 



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 



+ U.15 



+ 10.37 



108. 16 



800 



- 34 



1, 156 



- 3,53.6 



38 



- 43.71 



-44.49 



1,980.25 



740 



- 94 



8.836 



+ 4,183.0 



39 



+ 18.15 



+ 17.37 



302. 76 



700 



-134 



17, 9,56 



- 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 



4- 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, 856 



+ 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 



2:5.04 



827 



- 7 



49 



33.6 



67 



+ 21.73 



+ 20.95 



441.00 



950 



+116 



13, 456 



+ 2,436.0 





Average, 





18, 4.52. 16 



Average, 





660, 257 



+30,457.6 





+0.78 





ffi=.S16.60 



834 





(7-j/=991bs. 





Xxy 



+.304,57.6 



n<rx<ry (67)(16.60)(99) 

 .Br=±.6745 -7l!=±,076 



= +0,277 



lA plu.s sign before the quantity in tliis 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)2=127.69, and (+11.3) )-49)= -553.7. 



