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# Fourier Analysis of EDE (Empire District Electric Compan)

EDE (Empire District Electric Compan) appears to have interesting cyclic behaviour every 207 weeks (1.0392*sine), 228 weeks (1.0297*sine), and 163 weeks (.3898*cosine).

EDE (Empire District Electric Compan) has an average price of 7.92 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 5/3/1973 to 12/27/2016 for EDE (Empire District Electric Compan), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.92367   0
13.04506 -6.75733 (1*2π)/22782,278 weeks
21.55168 -3.34023 (2*2π)/22781,139 weeks
31.16417 -2.38652 (3*2π)/2278759 weeks
4.77578 -2.14749 (4*2π)/2278570 weeks
5.61633 -1.88845 (5*2π)/2278456 weeks
6-.03029 -1.87131 (6*2π)/2278380 weeks
7.40287 -.85918 (7*2π)/2278325 weeks
8.4002 -1.27552 (8*2π)/2278285 weeks
9.38724 -1.16816 (9*2π)/2278253 weeks
10.21337 -1.02973 (10*2π)/2278228 weeks
11.0516 -1.03918 (11*2π)/2278207 weeks
12-.02221 -.58504 (12*2π)/2278190 weeks
13.34552 -.6067 (13*2π)/2278175 weeks
14.38984 -.59001 (14*2π)/2278163 weeks
15.28838 -.87656 (15*2π)/2278152 weeks
16.14003 -.73298 (16*2π)/2278142 weeks
17.17564 -.66323 (17*2π)/2278134 weeks
18.11211 -.61093 (18*2π)/2278127 weeks
19.25289 -.60448 (19*2π)/2278120 weeks
20.16394 -.66426 (20*2π)/2278114 weeks
21.14769 -.67617 (21*2π)/2278108 weeks
22.09661 -.62788 (22*2π)/2278104 weeks
23.12346 -.70331 (23*2π)/227899 weeks
24-.00054 -.65142 (24*2π)/227895 weeks
25-.12628 -.64674 (25*2π)/227891 weeks
26.01296 -.49965 (26*2π)/227888 weeks
27-.08548 -.64004 (27*2π)/227884 weeks
28-.25859 -.53763 (28*2π)/227881 weeks
29-.13679 -.32354 (29*2π)/227879 weeks
30-.01102 -.44156 (30*2π)/227876 weeks
31-.24616 -.46603 (31*2π)/227873 weeks
32-.15155 -.32019 (32*2π)/227871 weeks
33-.20706 -.36588 (33*2π)/227869 weeks
34-.27217 -.17039 (34*2π)/227867 weeks
35-.04096 -.13613 (35*2π)/227865 weeks
36-.09323 -.22737 (36*2π)/227863 weeks
37-.00062 -.13516 (37*2π)/227862 weeks
38-.01578 -.294 (38*2π)/227860 weeks
39-.13618 -.19631 (39*2π)/227858 weeks
40-.03623 -.11369 (40*2π)/227857 weeks
41.00971 -.1684 (41*2π)/227856 weeks
42.00861 -.12595 (42*2π)/227854 weeks
43.08673 -.15818 (43*2π)/227853 weeks
44.03289 -.23443 (44*2π)/227852 weeks
45.0214 -.15265 (45*2π)/227851 weeks
46.03809 -.21079 (46*2π)/227850 weeks
47.0148 -.1444 (47*2π)/227848 weeks
48.1359 -.17146 (48*2π)/227847 weeks
49.0561 -.30361 (49*2π)/227846 weeks
50-.01853 -.18625 (50*2π)/227846 weeks
51.03138 -.21455 (51*2π)/227845 weeks
52-.00109 -.18247 (52*2π)/227844 weeks
53.04774 -.20749 (53*2π)/227843 weeks
54.02478 -.26155 (54*2π)/227842 weeks
55-.10502 -.20144 (55*2π)/227841 weeks
56-.01693 -.12567 (56*2π)/227841 weeks
57.00535 -.11249 (57*2π)/227840 weeks
58.05231 -.15035 (58*2π)/227839 weeks
59.04012 -.16247 (59*2π)/227839 weeks
60.03483 -.17108 (60*2π)/227838 weeks
61.05225 -.16632 (61*2π)/227837 weeks
62.05987 -.20011 (62*2π)/227837 weeks
63.00533 -.22683 (63*2π)/227836 weeks
64-.00414 -.14778 (64*2π)/227836 weeks
65.05797 -.20734 (65*2π)/227835 weeks
66-.02255 -.22614 (66*2π)/227835 weeks
67-.03994 -.13903 (67*2π)/227834 weeks
68.05495 -.17477 (68*2π)/227834 weeks
69-.01188 -.21824 (69*2π)/227833 weeks
70-.0127 -.19609 (70*2π)/227833 weeks
71-.03151 -.18887 (71*2π)/227832 weeks
72-.02133 -.20595 (72*2π)/227832 weeks
73-.05346 -.19644 (73*2π)/227831 weeks
74-.10439 -.17622 (74*2π)/227831 weeks
75-.06961 -.11492 (75*2π)/227830 weeks
76-.0678 -.12045 (76*2π)/227830 weeks
77-.03966 -.11864 (77*2π)/227830 weeks
78-.06172 -.12467 (78*2π)/227829 weeks
79-.05705 -.11545 (79*2π)/227829 weeks
80-.05275 -.05001 (80*2π)/227828 weeks
81-.00108 -.10013 (81*2π)/227828 weeks
82-.01519 -.1038 (82*2π)/227828 weeks
83-.04581 -.08024 (83*2π)/227827 weeks
84.02366 -.05204 (84*2π)/227827 weeks
85-.00873 -.1267 (85*2π)/227827 weeks
86.00746 -.0743 (86*2π)/227826 weeks
87.00703 -.09297 (87*2π)/227826 weeks
88.00638 -.10223 (88*2π)/227826 weeks
89.01617 -.10458 (89*2π)/227826 weeks
90.02598 -.13634 (90*2π)/227825 weeks
91-.02689 -.11991 (91*2π)/227825 weeks
92.01754 -.10098 (92*2π)/227825 weeks
93-.00247 -.13239 (93*2π)/227824 weeks
94-.01712 -.11135 (94*2π)/227824 weeks
95.00386 -.12861 (95*2π)/227824 weeks
96-.04113 -.13366 (96*2π)/227824 weeks
97-.03892 -.07526 (97*2π)/227823 weeks
98-.01195 -.08251 (98*2π)/227823 weeks
99.00008 -.05569 (99*2π)/227823 weeks
100.04147 -.11226 (100*2π)/227823 weeks
101-.03811 -.12002 (101*2π)/227823 weeks
102-.01442 -.07505 (102*2π)/227822 weeks
103.00063 -.08339 (103*2π)/227822 weeks
104-.01093 -.08311 (104*2π)/227822 weeks
105.02778 -.0707 (105*2π)/227822 weeks
106.01955 -.11397 (106*2π)/227821 weeks
107-.00601 -.10377 (107*2π)/227821 weeks
108-.0063 -.09658 (108*2π)/227821 weeks
109.00822 -.0882 (109*2π)/227821 weeks
110.00132 -.12221 (110*2π)/227821 weeks
111-.01851 -.10715 (111*2π)/227821 weeks
112.00451 -.10432 (112*2π)/227820 weeks
113-.02487 -.11911 (113*2π)/227820 weeks
114-.02914 -.08875 (114*2π)/227820 weeks
115.0051 -.09538 (115*2π)/227820 weeks
116-.00942 -.13465 (116*2π)/227820 weeks
117-.05898 -.12566 (117*2π)/227819 weeks
118-.07909 -.0837 (118*2π)/227819 weeks
119-.038 -.05279 (119*2π)/227819 weeks
120-.05605 -.05936 (120*2π)/227819 weeks
121-.01509 -.0316 (121*2π)/227819 weeks
122.01284 -.07338 (122*2π)/227819 weeks
123-.03805 -.07876 (123*2π)/227819 weeks
124-.01301 -.0381 (124*2π)/227818 weeks
125.00635 -.05851 (125*2π)/227818 weeks
126.01327 -.06314 (126*2π)/227818 weeks
127.00272 -.09449 (127*2π)/227818 weeks
128-.03156 -.08596 (128*2π)/227818 weeks
129-.00638 -.04553 (129*2π)/227818 weeks
130.01336 -.0699 (130*2π)/227818 weeks
131.01375 -.0941 (131*2π)/227817 weeks
132-.01346 -.11828 (132*2π)/227817 weeks
133-.06195 -.08633 (133*2π)/227817 weeks
134-.04077 -.05584 (134*2π)/227817 weeks
135-.02285 -.04469 (135*2π)/227817 weeks
136.01016 -.04867 (136*2π)/227817 weeks
137.00263 -.0903 (137*2π)/227817 weeks
138-.02155 -.08751 (138*2π)/227817 weeks
139-.02153 -.0734 (139*2π)/227816 weeks
140-.02977 -.07341 (140*2π)/227816 weeks
141-.01802 -.06628 (141*2π)/227816 weeks
142-.01711 -.07053 (142*2π)/227816 weeks
143-.01838 -.06375 (143*2π)/227816 weeks
144-.00661 -.08026 (144*2π)/227816 weeks
145-.05296 -.06927 (145*2π)/227816 weeks
146-.02066 -.03196 (146*2π)/227816 weeks
147-.011 -.06469 (147*2π)/227815 weeks
148-.02017 -.05285 (148*2π)/227815 weeks
149-.02138 -.06451 (149*2π)/227815 weeks
150-.03479 -.04014 (150*2π)/227815 weeks
151-.00638 -.01367 (151*2π)/227815 weeks
152.02753 -.05006 (152*2π)/227815 weeks
153.00628 -.05937 (153*2π)/227815 weeks
154.0159 -.05889 (154*2π)/227815 weeks
155.0189 -.08387 (155*2π)/227815 weeks
156-.00569 -.08477 (156*2π)/227815 weeks
157-.01587 -.07183 (157*2π)/227815 weeks
158-.00639 -.08163 (158*2π)/227814 weeks
159-.03482 -.06943 (159*2π)/227814 weeks
160-.01645 -.05353 (160*2π)/227814 weeks
161-.01709 -.06832 (161*2π)/227814 weeks
162-.01501 -.05108 (162*2π)/227814 weeks
163.00767 -.06768 (163*2π)/227814 weeks
164-.03076 -.09102 (164*2π)/227814 weeks
165-.01768 -.05132 (165*2π)/227814 weeks
166-.02003 -.07411 (166*2π)/227814 weeks
167-.02535 -.05862 (167*2π)/227814 weeks
168-.01677 -.0656 (168*2π)/227814 weeks
169-.03315 -.05522 (169*2π)/227813 weeks
170-.01414 -.04376 (170*2π)/227813 weeks
171-.01031 -.06611 (171*2π)/227813 weeks
172-.04025 -.05336 (172*2π)/227813 weeks
173-.02662 -.03558 (173*2π)/227813 weeks
174.0103 -.04239 (174*2π)/227813 weeks
175-.015 -.03267 (175*2π)/227813 weeks
176.02569 -.02319 (176*2π)/227813 weeks
177.03785 -.07649 (177*2π)/227813 weeks
178-.00553 -.08966 (178*2π)/227813 weeks
179-.0156 -.07016 (179*2π)/227813 weeks
180-.01629 -.0647 (180*2π)/227813 weeks
181-.00179 -.06436 (181*2π)/227813 weeks
182-.00989 -.07991 (182*2π)/227813 weeks
183-.03965 -.07411 (183*2π)/227812 weeks
184-.01604 -.04265 (184*2π)/227812 weeks
185-.01209 -.07244 (185*2π)/227812 weeks
186-.02982 -.06635 (186*2π)/227812 weeks
187-.02226 -.06684 (187*2π)/227812 weeks
188-.02878 -.05619 (188*2π)/227812 weeks
189-.02991 -.05909 (189*2π)/227812 weeks
190-.03377 -.06384 (190*2π)/227812 weeks
191-.05114 -.0385 (191*2π)/227812 weeks
192-.01341 -.03036 (192*2π)/227812 weeks
193-.02507 -.0564 (193*2π)/227812 weeks
194-.02361 -.04698 (194*2π)/227812 weeks
195-.03836 -.04438 (195*2π)/227812 weeks
196-.03909 -.02563 (196*2π)/227812 weeks
197-.01677 -.01981 (197*2π)/227812 weeks
198-.00364 -.02787 (198*2π)/227812 weeks
199-.0063 -.0436 (199*2π)/227811 weeks
200-.0166 -.02689 (200*2π)/227811 weeks
201.01571 -.0351 (201*2π)/227811 weeks
202-.01277 -.05861 (202*2π)/227811 weeks
203-.00473 -.03858 (203*2π)/227811 weeks
204.00989 -.05214 (204*2π)/227811 weeks
205-.00912 -.06188 (205*2π)/227811 weeks
206-.0102 -.04996 (206*2π)/227811 weeks
207-.01369 -.06261 (207*2π)/227811 weeks
208-.01843 -.03339 (208*2π)/227811 weeks
209.00375 -.05849 (209*2π)/227811 weeks
210-.03205 -.06769 (210*2π)/227811 weeks
211-.0341 -.03825 (211*2π)/227811 weeks
212-.02916 -.03685 (212*2π)/227811 weeks
213-.01639 -.0259 (213*2π)/227811 weeks
214-.00936 -.03174 (214*2π)/227811 weeks
215.00197 -.02742 (215*2π)/227811 weeks
216.01404 -.04825 (216*2π)/227811 weeks
217-.00682 -.06579 (217*2π)/227810 weeks
218-.0213 -.04742 (218*2π)/227810 weeks
219-.00157 -.03721 (219*2π)/227810 weeks
220.00158 -.05037 (220*2π)/227810 weeks
221.00088 -.05466 (221*2π)/227810 weeks
222-.00465 -.06034 (222*2π)/227810 weeks
223-.00659 -.05225 (223*2π)/227810 weeks
224-.00161 -.05783 (224*2π)/227810 weeks
225-.00086 -.07293 (225*2π)/227810 weeks
226-.01273 -.07946 (226*2π)/227810 weeks
227-.03178 -.07477 (227*2π)/227810 weeks
228-.03604 -.06357 (228*2π)/227810 weeks
229-.04287 -.06129 (229*2π)/227810 weeks
230-.03545 -.04615 (230*2π)/227810 weeks
231-.02907 -.06103