12 
BULLETIN" 504, U. S. DEPARTMENT OF AGRICULTURE. 
*Wc=+-48, and 
'pw.vc I '*<-> 
the coefficient is +.20. Similarly, r pw j= + .50, and r pw j d = + .43 
o.cd= +.49; ^.^=+.39, and r pw . r/d =+.42 
and ^.^-+-46; ^./ c =-f.85, and r pwJcd = +.83 
r pw .vfc= +-91, and r pw . vfcd = +.97. 
The remainder of the coefficients will not be taken up in detail, for 
the same reasoning may be applied as has been used for those between 
profit and weight. The notation is consistent throughout, and the 
arrangement is such that any desired coefficient can be found. 
There does not seem to be any relation between cost at weaning 
time and any of the other factors considered, except profit, and since 
cost at weaning time had more influence on profit than any of the 
others, it might be of interest to know the relationship that would 
have existed between profit and the other factors if the initial cost 
had been constant. 
The coefficients are as follows: 
Tpw.C 
Tpv.c- 
rpf.c. 
Tpd-c. 
+.48 
+ .25 
-.38 
+ .16 
From these coefficients, it is evident that if the initial cost of all 
the calves had been the same, the most important factor in deter- 
mining the profit would have been the weight when marketed; the 
other factors in the order of their importance being the total value of 
feed consumed, the price per pound, and the date of sale. How- 
ever, the correlation between profit and date of sale is still too small 
to be important. 
The statement has already been made that the apparent correla- 
tion between weight and value per hundredweight (7*= +.56) is due 
to the effect of other factors. A study of the coefficients obtained 
when these other factors are taken into consideration shows that 
when the influence of date of sale is eliminated, the coefficient is re- 
duced to +.31 ; when the influence of the value of feed consumed is 
eliminated, the coefficient becomes +.35; and when the two factors 
are taken into account simultaneously, the coefficient is +.14. This 
shows that the quantity of feed consumed per head was responsible 
for nearly as much of this correlation as was the date of sale, and 
that the two together account for practically the whole of it. In 
other words, the value of feed consumed and the date of sale need 
to be considered simultaneously here, because the later the date of 
sale, the longer is the feeding period, and consequently the greater 
the quantity and value of feed consumed. 
The gross correlation between date of sale and value per pound is 
shown by the coefficient +.61, and that between total value of feed 
consumed per head and value per pound, by the coefficient +.65. 
