MATHEMATICS: J. R. MINER 93 
TABLE I 
Parabolas 
X 
y 
X 
yx 
1st 
2nd 
3rd 
7 
3 
1 
3 
3 
3 
57.5 
11.0 
-14.1 
8 
7 
2 
14 
28 
56 
54.3 
30.9 
32.2 
9 
35 
3 
105 
315 
945 
51.2 
46.6 
62.2 
10 
101 
4 
404 
1,616 
6,464 
48.0 
58.1 
78.4 
11 
89 
5 
445 
2,225 
11,125 
44.9 
65.4 
83.1 
12 
94 
6 
564 
3,384 
20,304 
41.7 
68.5 
78.9 
13 
70 
7 
490 
3,430 
24,010 
38.5 
67.5 
68.0 
14 
46 
8 
368 
2^944 
23^552 
35.4 
62.2 
53.0 
15 
30 
9 
270 
2,430 
21 870 
32.2 
52.8 
36.2 
16 
15 
10 
150 
1^500 
15,000 
29.1 
39.1 
20.0 
17 
4 
11 
44 
484 
5,324 
25.9 
21.3 
6.8 
18 
5 
12 
60 
720 
8,640 
22.8 
-0.7 
-0.8 
19 
1 
13 
13 
169 
2,197 
19.6 
-26.9 
-0.7 
Totals 
500 
2,930 
19,248 
139,490 
if 0 = 501.031015 M 2 = 19190.3584 
/ = 13 
Ml = 2929.06288 = 138630.787 
(i) . 
Co = 0.344561Mo - 0.0382340Mi = 60.6459 
ci = -0.03823401fo + 0.00546199iri = -3.15791 
(ii) . 
Co = 0.935607Mo - 0. 275217^1 + 0.0169273^2 = -13.1046 
ci = -0.275217Mo + 0.1004811fi - 0.00678709^2 = 
26.1762 
C2 = 0.0169273Jfo - 0.00678709iri + 0.000484792^2 = 
-2.095379 
(iii) . 
Co = 2.1585691fo - 1.173878Jl/i + O.172O6OM2 - 0.00738727if3 
= -79.062 
ci = -lA73S7SMo + 0. 760838^1 - 0.120782^2 +0.00542834^3 
= 75.0781 
C2 = 0.172060ilfo - 0.120782ilfi + 0.02016331^2 -0.000937074^3 
= -10.53703 
Cs = -0.00738727ifo + 0.00542834Mi - 0.000937074^2 
+ 0.0000446226M3 = 0.401978 
1 Papers from the Biological Laboratory of the Maine Agricultural Experiment Station 
No. 106. 
2 Pearson, K., Biometrika, Cambridge, 2, 1902, (1-23). 
^Elderton, W. P., Frequency Curves and Correlation, London, 1907, pp. 172. 
4 Thiele, T. N., Forelaesninger over Almindelig lagttagelslaere, Kj^benhavn, 1889. 
5 Pearson, K., Biometrika, Cambridge, 1, 1902, (265-303). 
