Vol. 7, 1921 
PHYSIOLOGY: H. S. REED 
313 
The average length of 37 shoots on a group of lemon trees is given in 
the column headed % in table 1. The measurements were made each week 
for the first 21 weeks of their growth. From the observed length at inter- 
vals of a week the values of 
log flog — f— ) = log K + c log (t - 9.5) 
\ 135— x/ 
were ascertained and plotted (fig. 1). From the line thus obtained it 
was ascertained that log K= —1.05 and K— .0891. The value of c as 
determined by the slope was 1.35. 
Table 1 contains in the column headed %\ the values computed from the 
equation 
lQg 135 -* = - 0S91( ' ~ 9 - 5)1 ' 35, 
TABLE 1 
Growth op Lemon Shoots. Comparison of Observed and Calculated Values 
t 
X 
XI 
ft 
X2 
02 
WEEKS 
CM. 
CM. 
CM. 
CM. 
CM. 
1 
3.0 
3.2 
.2 
5.3 
2.3 
2 
4.9 
5.7 
.8 
7.6 
2.7 
3 
9.6 
9.6 
.0 
10.8 
1.2 
4 
15.6 
12.8 
-2.8 
15.1 
-0.5 
5 
25.8 
23.4 
-2.4 
20.9 
-4.9 
6 
37.3 
33.4 
-3.9 
28.5 
-8.8 
7 
46.8 
44.8 
-2.0 
37.8 
-9.0 
8 
56.5 
55.6 
-0.9 
48.9 
-7.6 
9 
65.2 
61.4 
-3.8 
61.2 
-4.0 
10 
73.5 
73.6 
.1 
73.8 
0.3 
11 
81.6 
79.4 
-2.2 
86.1 
4.5 
12 
91.4 
90.2 
-1.2 
97.2 
5.8 
13 
100.0 
101.7 
-1.7 
106.5 
6.5 
14 
110.9 
111.6 
.7 
114.1 
3.2 
15 
119.4 
122.2 
2.8 
119.9 
0.5 
16 
125.3 
125.4 
.1 
124.2 
-1.1 
17 
128.8 
129.3 
.5 
127.4 
-1.4 
18 
131.6 
131.8 
.2 
129.7 
-1.9 
19 
132.5 
133.1 
.6 
131.4 
-1.1 
21 
134.3 
134.5 
.2 
133.2 
-1.1 
Root-mean-square deviation 1 . 88 4 . 40 
The root-mean-square deviation of calculated from observed values was 
1 . 88 cm. 
In the column headed %% will be found values computed from the equation 
lo s i^=- 1635 ^- 9 - 5 )- 
The root-mean-square deviation of these values is 4.40 cm. 
