July, 1921] THE SEEDLING OF PHASEOLUS VULGARIS 
ferences between correlations for groups of bundles lying on the same side 
and those lying on different sides of the nodal complex. 
(1) The correlation coefficients between primary double bundles and 
number of bundles in the epicotyl, Vp^, as set forth in the first section of table 
3, are in part positive and in part negative in sign. For the most part they 
can not be considered statistically significant. The average value of those 
for trimerous seedlings is —.0226 while that for dimerous seedlings is 
+ .0768. 
(2) For the correlation between the number of intercalary bundles 
and the number of bundles in the epicotyl, fie, shown in the second section 
of table 3, the coefficients are not in general certainly significant in com- 
Table 3. Coefficients of correlation between number of primary double bundles, number of 
intercalary bundles and total number of bundles at base of hypocotyl, 
and number of bundles in central region of epicotyl 
Character of Seed- 
lings and Line 
N 
Correlation for 
Primary Double Bundles 
Correlation for 
Intercalary Bundles 
Correlation for 
Total Bundles 
''he 
Trimerous 
Line 75 
142 
+.053=t.056 
0.93 
+ .I26±.056 
2.27 
+.i82±.o55 
3-33 
Line 93 
-.087 ±.054 
1.61 
-.055 ±.054 
1. 01 
-.I48±.053 
2.79 
Line 98 
183 
+ .008=t:.050 
0.70 
+.070=b.050 
1.42 
+ .099 ±.049 
2.01 
Line 139 
106 
— .io5dz.o64 
1.63 
+.oi6=b.o65 
0.25 
-.095 ±.065 
1.47 
Line 143 
221 
+ .oi8±.045 
0,40 
+.233 ±.043 
5-44 
+ .190^.044 
4.34 
Dimerous 
Line 75 
142 
-.ii5±.05o 
2.07 
-.043 ±.057 
0.75 
-.054=b.056 
0.96 
Line 93 
+.084^.054 
1-55 
+ .i32±.053 
2.48 
H-.167i.053 
3.16 
Line 98 
183 
+.239d=.047 
5.08 
+ .i09±.049 
2.21 
+.205 ±.048 
4.29 
Line 139 
+ .i64d=.038 
4-37 
+.145^-038 
3.84 
+.i75±.037 
4.68 
Line 143 
420 
+ .oi2±.033 
0.38 
+.i34±-032 
4.15 
+.12 1 ±.032 
3-73 
parison with their probable errors. Two of the ten are indeed negative in 
sign. The coefficients for line 143 in both trimerous and dimerous seedlings 
and possibly that for line 139 in the dimerous seedlings may be significant. 
The fact that eight of the ten coefficients are positive suggests that there is a 
slight relationship between the number of intercalary bundles at the base of 
the hypocotyl and the number of vascular elements in the central region of 
the epicotyl. The general average is -{-.0780 for the trimerous and +.0954 
for the dimerous. 
This suggestion is only slightly strengthened by inspection of the two 
sets of diagrams on which the regression equations are presented and drawn 
with the empirical means. Diagram 3 pictures the results for trimerous 
seedlings while the comparable representations for dimerous seedlings are 
shown on diagram 4. These show that while the slope showing the change 
in the number of bundles in the hypocotyl associated with variations in the 
number of intercalary bundles at the base of the epicotyl is very steep, it is 
practically nothing for the epicotyl, thus indicating a very close relationship 
in the former case but the practical absence of interdependence in the 
latter. 
