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Fourier Analysis of ADUS (Addus HomeCare Corporation)


ADUS (Addus HomeCare Corporation) appears to have interesting cyclic behaviour every 20 weeks (1.0112*sine), 31 weeks (.8402*sine), and 34 weeks (.6141*sine).

ADUS (Addus HomeCare Corporation) has an average price of 14.71 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 10/28/2009 to 11/28/2016 for ADUS (Addus HomeCare Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.70555   0 
1-.16874 -11.94938 (1*2π)/371371 weeks
2.81306 .02313 (2*2π)/371186 weeks
3-.85069 -2.96291 (3*2π)/371124 weeks
41.15408 1.39488 (4*2π)/37193 weeks
51.9401 -1.39852 (5*2π)/37174 weeks
6.70896 -.70258 (6*2π)/37162 weeks
7.3447 -1.63255 (7*2π)/37153 weeks
8-.11551 -.87394 (8*2π)/37146 weeks
9.42179 -.69707 (9*2π)/37141 weeks
10.06369 -.53812 (10*2π)/37137 weeks
11.34303 -.61406 (11*2π)/37134 weeks
12.14842 -.84016 (12*2π)/37131 weeks
13-.20224 -.57966 (13*2π)/37129 weeks
14-.07104 -.56621 (14*2π)/37127 weeks
15-.16718 -.49086 (15*2π)/37125 weeks
16-.19228 -.50522 (16*2π)/37123 weeks
17-.06363 -.23337 (17*2π)/37122 weeks
18.58029 -.54302 (18*2π)/37121 weeks
19-.29755 -1.0112 (19*2π)/37120 weeks
20-.30955 -.27424 (20*2π)/37119 weeks
21-.15091 -.28943 (21*2π)/37118 weeks
22.02253 .01141 (22*2π)/37117 weeks
23.30368 -.48047 (23*2π)/37116 weeks
24.10416 -.2352 (24*2π)/37115 weeks
25.26921 -.44314 (25*2π)/37115 weeks
26-.13595 -.41277 (26*2π)/37114 weeks
27-.00342 -.15059 (27*2π)/37114 weeks
28.06324 -.14316 (28*2π)/37113 weeks
29.24625 -.42862 (29*2π)/37113 weeks
30-.06202 -.27958 (30*2π)/37112 weeks
31.13077 -.57308 (31*2π)/37112 weeks
32-.34227 -.48215 (32*2π)/37112 weeks
33-.06697 -.07848 (33*2π)/37111 weeks
34-.01697 -.23578 (34*2π)/37111 weeks
35.11752 -.03726 (35*2π)/37111 weeks
36.22911 -.35252 (36*2π)/37110 weeks
37-.02248 -.43939 (37*2π)/37110 weeks
38.16749 -.33663 (38*2π)/37110 weeks
39-.26129 -.49447 (39*2π)/37110 weeks
40-.11174 -.1305 (40*2π)/3719 weeks
41-.13808 -.28835 (41*2π)/3719 weeks
42.02401 .02739 (42*2π)/3719 weeks
43.04854 -.21617 (43*2π)/3719 weeks
44.03608 -.19148 (44*2π)/3718 weeks
45-.0363 -.44567 (45*2π)/3718 weeks
46-.10672 -.20772 (46*2π)/3718 weeks
47-.07507 -.2479 (47*2π)/3718 weeks
48-.09401 -.17432 (48*2π)/3718 weeks
49-.07228 -.28338 (49*2π)/3718 weeks
50-.24283 -.21653 (50*2π)/3717 weeks
51-.15014 -.0093 (51*2π)/3717 weeks
52-.06808 -.20779 (52*2π)/3717 weeks
53-.13895 -.11815 (53*2π)/3717 weeks
54.05913 -.1636 (54*2π)/3717 weeks
55-.17578 -.13174 (55*2π)/3717 weeks
56.08734 -.15152 (56*2π)/3717 weeks
57-.11321 -.39688 (57*2π)/3717 weeks
58-.17 -.18478 (58*2π)/3716 weeks
59-.12445 -.24182 (59*2π)/3716 weeks
60-.29579 -.1806 (60*2π)/3716 weeks
61-.10764 -.02825 (61*2π)/3716 weeks
62-.09565 -.22005 (62*2π)/3716 weeks
63-.15862 .06547 (63*2π)/3716 weeks
64.02612 -.15977 (64*2π)/3716 weeks
65-.1751 -.10273 (65*2π)/3716 weeks
66-.03049 -.1165 (66*2π)/3716 weeks
67-.15557 -.12196 (67*2π)/3716 weeks
68-.12917 .04961 (68*2π)/3715 weeks
69.02625 -.11989 (69*2π)/3715 weeks
70-.15938 -.14454 (70*2π)/3715 weeks
71-.12115 -.10769 (71*2π)/3715 weeks
72-.18355 -.05837 (72*2π)/3715 weeks
73-.03387 -.02921 (73*2π)/3715 weeks
74-.06251 -.0526 (74*2π)/3715 weeks
75.00892 -.13361 (75*2π)/3715 weeks
76-.06715 -.10125 (76*2π)/3715 weeks
77-.04895 -.15604 (77*2π)/3715 weeks
78-.18731 -.0338 (78*2π)/3715 weeks
79-.05575 .01843 (79*2π)/3715 weeks
80-.11344 -.02897 (80*2π)/3715 weeks
81-.0089 .07604 (81*2π)/3715 weeks
82.04799 -.14035 (82*2π)/3715 weeks
83-.16467 -.04493 (83*2π)/3714 weeks
84-.03839 .00808 (84*2π)/3714 weeks
85-.06593 -.01582 (85*2π)/3714 weeks
86-.05102 -.04381 (86*2π)/3714 weeks
87-.02749 -.00895 (87*2π)/3714 weeks
88.00556 -.14128 (88*2π)/3714 weeks
89-.13554 -.04229 (89*2π)/3714 weeks
90-.04372 .00989 (90*2π)/3714 weeks
91-.03858 .00496 (91*2π)/3714 weeks
92.04312 -.07312 (92*2π)/3714 weeks
93-.05102 -.1636 (93*2π)/3714 weeks
94-.1036 -.10438 (94*2π)/3714 weeks
95-.08403 -.05622 (95*2π)/3714 weeks
96-.11056 -.0312 (96*2π)/3714 weeks
97-.07256 .06661 (97*2π)/3714 weeks
98.00329 -.00159 (98*2π)/3714 weeks
99-.01511 -.01223 (99*2π)/3714 weeks
100-.00828 -.03968 (100*2π)/3714 weeks
101-.03857 -.05747 (101*2π)/3714 weeks
102.05145 -.02593 (102*2π)/3714 weeks
103-.05795 -.10991 (103*2π)/3714 weeks
104-.00198 -.00907 (104*2π)/3714 weeks
105-.00898 -.12876 (105*2π)/3714 weeks
106.00435 -.07591 (106*2π)/3714 weeks
107-.10049 -.08437 (107*2π)/3713 weeks
108-.03751 .01306 (108*2π)/3713 weeks
109-.07386 -.10615 (109*2π)/3713 weeks
110.00461 -.03205 (110*2π)/3713 weeks
111.03615 -.1917 (111*2π)/3713 weeks
112-.10106 -.09415 (112*2π)/3713 weeks
113-.03461 -.09938 (113*2π)/3713 weeks
114-.11381 -.11204 (114*2π)/3713 weeks
115-.06662 -.06109 (115*2π)/3713 weeks
116-.08249 -.04548 (116*2π)/3713 weeks
117-.03903 -.09596 (117*2π)/3713 weeks
118-.0627 -.13301 (118*2π)/3713 weeks
119-.09601 -.11375 (119*2π)/3713 weeks
120-.12038 -.01793 (120*2π)/3713 weeks
121-.02504 .02282 (121*2π)/3713 weeks
122-.03693 -.03554 (122*2π)/3713 weeks
123-.03313 -.05187 (123*2π)/3713 weeks
124-.07907 -.10602 (124*2π)/3713 weeks
125-.10702 -.05863 (125*2π)/3713 weeks
126-.14481 -.03687 (126*2π)/3713 weeks
127-.05767 -.00194 (127*2π)/3713 weeks
128-.08947 -.01366 (128*2π)/3713 weeks
129-.0114 -.0507 (129*2π)/3713 weeks
130-.10461 -.07284 (130*2π)/3713 weeks
131.02653 -.04196 (131*2π)/3713 weeks
132-.07543 -.16184 (132*2π)/3713 weeks
133-.12126 -.02958 (133*2π)/3713 weeks
134-.07581 -.05768 (134*2π)/3713 weeks
135-.10808 -.00119 (135*2π)/3713 weeks
136-.00751 -.035 (136*2π)/3713 weeks
137-.03879 -.13801 (137*2π)/3713 weeks
138-.0993 -.10907 (138*2π)/3713 weeks
139-.14055 -.03477 (139*2π)/3713 weeks
140-.10534 .02212 (140*2π)/3713 weeks
141-.06423 .01395 (141*2π)/3713 weeks
142-.0569 -.04338 (142*2π)/3713 weeks
143-.05726 -.04853 (143*2π)/3713 weeks
144-.08741 -.05142 (144*2π)/3713 weeks
145-.16871 -.00927 (145*2π)/3713 weeks
146-.10308 .0371 (146*2π)/3713 weeks
147-.03169 .01471 (147*2π)/3713 weeks
148-.0406 -.02567 (148*2π)/3713 weeks
149-.02479 -.03846 (149*2π)/3712 weeks
150-.11852 -.12446 (150*2π)/3712 weeks
151-.19938 .00482 (151*2π)/3712 weeks
152-.10465 .05303 (152*2π)/3712 weeks
153-.10641 .04399 (153*2π)/3712 weeks
154-.00861 .00984 (154*2π)/3712 weeks
155-.09024 -.08081 (155*2π)/3712 weeks
156-.07365 .05543 (156*2π)/3712 weeks
157-.04366 -.06356 (157*2π)/3712 weeks
158-.13912 -.00026 (158*2π)/3712 weeks
159-.01756 -.01313 (159*2π)/3712 weeks
160-.08699 -.03121 (160*2π)/3712 weeks
161-.04361 .03555 (161*2π)/3712 weeks
162-.07727 -.03954 (162*2π)/3712 weeks
163-.12121 .00455 (163*2π)/3712 weeks
164-.09759 .06355 (164*2π)/3712 weeks
165-.05719 .00943 (165*2π)/3712 weeks
166-.06101 .05241 (166*2π)/3712 weeks
167.02903 -.04551 (167*2π)/3712 weeks
168-.13073 -.0707 (168*2π)/3712 weeks
169-.07287 .02155 (169*2π)/3712 weeks
170-.10604 -.02318 (170*2π)/3712 weeks
171-.06343 .03024 (171*2π)/3712 weeks
172-.06091 .03858 (172*2π)/3712 weeks
173.01973 -.02242 (173*2π)/3712 weeks
174-.09825 -.07036 (174*2π)/3712 weeks
175-.01437 .00234 (175*2π)/3712 weeks
176-.09244 -.0732 (176*2π)/3712 weeks
177-.13166 .048 (177*2π)/3712 weeks
178-.03612 .08727 (178*2π)/3712 weeks
179.01882 -.03652 (179*2π)/3712 weeks
180-.09552 -.02323 (180*2π)/3712 weeks
181-.04102 -.01744 (181*2π)/3712 weeks
182-.14105 .01712 (182*2π)/3712 weeks
183-.02281 .07014 (183*2π)/3712 weeks
184-.10373 -.01086 (184*2π)/3712 weeks
185-.02632 .11115 (185*2π)/3712 weeks
186-.02632 -.11115 (186*2π)/3712 weeks
187-.10373 .01086 (187*2π)/3712 weeks
188-.02281 -.07014 (188*2π)/3712 weeks
189-.14105 -.01712 (189*2π)/3712 weeks
190-.04102 .01744 (190*2π)/3712 weeks
191-.09552 .02323 (191*2π)/3712 weeks
192.01882 .03652 (192*2π)/3712 weeks
193-.03612 -.08727 (193*2π)/3712 weeks
194-.13166 -.048 (194*2π)/3712 weeks
195-.09244 .0732 (195*2π)/3712 weeks
196-.01437 -.00234 (196*2π)/3712 weeks
197-.09825 .07036 (197*2π)/3712 weeks
198.01973 .02242 (198*2π)/3712 weeks
199-.06091 -.03858 (199*2π)/3712 weeks
200-.06343 -.03024 (200*2π)/3712 weeks
201-.10604 .02318 (201*2π)/3712 weeks
202-.07287 -.02155 (202*2π)/3712 weeks
203-.13073 .0707 (203*2π)/3712 weeks
204.02903 .04551 (204*2π)/3712 weeks
205-.06101 -.05241 (205*2π)/3712 weeks
206-.05719 -.00943 (206*2π)/3712 weeks
207-.09759 -.06355 (207*2π)/3712 weeks
208-.12121 -.00455 (208*2π)/3712 weeks
209-.07727 .03954 (209*2π)/3712 weeks
210-.04361 -.03555 (210*2π)/3712 weeks
211-.08699 .03121 (211*2π)/3712 weeks
212-.01756 .01313 (212*2π)/3712 weeks
213-.13912 .00026 (213*2π)/3712 weeks
214-.04366 .06356 (214*2π)/3712 weeks
215-.07365 -.05543 (215*2π)/3712 weeks
216-.09024 .08081 (216*2π)/3712 weeks
217-.00861 -.00984 (217*2π)/3712 weeks
218-.10641 -.04399 (218*2π)/3712 weeks
219-.10465 -.05303 (219*2π)/3712 weeks
220-.19938 -.00482 (220*2π)/3712 weeks
221-.11852 .12446 (221*2π)/3712 weeks
222-.02479 .03846 (222*2π)/3712 weeks
223-.0406 .02567 (223*2π)/3712 weeks
224-.03169 -.01471 (224*2π)/3712 weeks
225-.10308 -.0371 (225*2π)/3712 weeks
226-.16871 .00927 (226*2π)/3712 weeks
227-.08741 .05142 (227*2π)/3712 weeks
228-.05726 .04853 (228*2π)/3712 weeks
229-.0569 .04338 (229*2π)/3712 weeks
230-.06423 -.01395 (230*2π)/3712 weeks
231-.10534 -.02212 (231*2π)/3712 weeks
232-.14055 .03477 (232*2π)/3712 weeks
233-.0993 .10907 (233*2π)/3712 weeks
234-.03879 .13801 (234*2π)/3712 weeks
235-.00751 .035 (235*2π)/3712 weeks
236-.10808 .00119 (236*2π)/3712 weeks
237-.07581 .05768 (237*2π)/3712 weeks
238-.12126 .02958 (238*2π)/3712 weeks
239-.07543 .16184 (239*2π)/3712 weeks
240.02653 .04196 (240*2π)/3712 weeks
241-.10461 .07284 (241*2π)/3712 weeks
242-.0114 .0507 (242*2π)/3712 weeks
243-.08947 .01366 (243*2π)/3712 weeks
244-.05767 .00194 (244*2π)/3712 weeks
245-.14481 .03687 (245*2π)/3712 weeks
246-.10702 .05863 (246*2π)/3712 weeks
247-.07907 .10602 (247*2π)/3712 weeks
248-.03313 .05187 (248*2π)/3711 weeks
249-.03693 .03554 (249*2π)/3711 weeks
250-.02504 -.02282 (250*2π)/3711 weeks
251-.12038 .01793 (251*2π)/3711 weeks
252-.09601 .11375 (252*2π)/3711 weeks
253-.0627 .13301 (253*2π)/3711 weeks
254-.03903 .09596 (254*2π)/3711 weeks
255-.08249 .04548 (255*2π)/3711 weeks
256-.06662 .06109 (256*2π)/3711 weeks
257-.11381 .11204 (257*2π)/3711 weeks
258-.03461 .09938 (258*2π)/3711 weeks
259-.10106 .09415 (259*2π)/3711 weeks
260.03615 .1917 (260*2π)/3711 weeks
261.00461 .03205 (261*2π)/3711 weeks
262-.07386 .10615 (262*2π)/3711 weeks
263-.03751 -.01306 (263*2π)/3711 weeks
264-.10049 .08437 (264*2π)/3711 weeks
265.00435 .07591 (265*2π)/3711 weeks
266-.00898 .12876 (266*2π)/3711 weeks
267-.00198 .00907 (267*2π)/3711 weeks
268-.05795 .10991 (268*2π)/3711 weeks
269.05145 .02593 (269*2π)/3711 weeks
270-.03857 .05747 (270*2π)/3711 weeks
271-.00828 .03968 (271*2π)/3711 weeks
272-.01511 .01223 (272*2π)/3711 weeks
273.00329 .00159 (273*2π)/3711 weeks
274-.07256 -.06661 (274*2π)/3711 weeks
275-.11056 .0312 (275*2π)/3711 weeks
276-.08403 .05622 (276*2π)/3711 weeks
277-.1036 .10438 (277*2π)/3711 weeks
278-.05102 .1636 (278*2π)/3711 weeks
279.04312 .07312 (279*2π)/3711 weeks
280-.03858 -.00496 (280*2π)/3711 weeks
281-.04372 -.00989 (281*2π)/3711 weeks
282-.13554 .04229 (282*2π)/3711 weeks
283.00556 .14128 (283*2π)/3711 weeks
284-.02749 .00895 (284*2π)/3711 weeks
285-.05102 .04381 (285*2π)/3711 weeks
286-.06593 .01582 (286*2π)/3711 weeks
287-.03839 -.00808 (287*2π)/3711 weeks
288-.16467 .04493 (288*2π)/3711 weeks
289.04799 .14035 (289*2π)/3711 weeks
290-.0089 -.07604 (290*2π)/3711 weeks
291-.11344 .02897 (291*2π)/3711 weeks
292-.05575 -.01843 (292*2π)/3711 weeks
293-.18731 .0338 (293*2π)/3711 weeks
294-.04895 .15604 (294*2π)/3711 weeks
295-.06715 .10125 (295*2π)/3711 weeks
296.00892 .13361 (296*2π)/3711 weeks
297-.06251 .0526 (297*2π)/3711 weeks
298-.03387 .02921 (298*2π)/3711 weeks
299-.18355 .05837 (299*2π)/3711 weeks
300-.12115 .10769 (300*2π)/3711 weeks
301-.15938 .14454 (301*2π)/3711 weeks
302.02625 .11989 (302*2π)/3711 weeks
303-.12917 -.04961 (303*2π)/3711 weeks
304-.15557 .12196 (304*2π)/3711 weeks
305-.03049 .1165 (305*2π)/3711 weeks
306-.1751 .10273 (306*2π)/3711 weeks
307.02612 .15977 (307*2π)/3711 weeks
308-.15862 -.06547 (308*2π)/3711 weeks
309-.09565 .22005 (309*2π)/3711 weeks
310-.10764 .02825 (310*2π)/3711 weeks
311-.29579 .1806 (311*2π)/3711 weeks
312-.12445 .24182 (312*2π)/3711 weeks
313-.17 .18478 (313*2π)/3711 weeks
314-.11321 .39688 (314*2π)/3711 weeks
315.08734 .15152 (315*2π)/3711 weeks
316-.17578 .13174 (316*2π)/3711 weeks
317.05913 .1636 (317*2π)/3711 weeks
318-.13895 .11815 (318*2π)/3711 weeks
319-.06808 .20779 (319*2π)/3711 weeks
320-.15014 .0093 (320*2π)/3711 weeks
321-.24283 .21653 (321*2π)/3711 weeks
322-.07228 .28338 (322*2π)/3711 weeks
323-.09401 .17432 (323*2π)/3711 weeks
324-.07507 .2479 (324*2π)/3711 weeks
325-.10672 .20772 (325*2π)/3711 weeks
326-.0363 .44567 (326*2π)/3711 weeks
327.03608 .19148 (327*2π)/3711 weeks
328.04854 .21617 (328*2π)/3711 weeks
329.02401 -.02739 (329*2π)/3711 weeks
330-.13808 .28835 (330*2π)/3711 weeks
331-.11174 .1305 (331*2π)/3711 weeks
332-.26129 .49447 (332*2π)/3711 weeks
333.16749 .33663 (333*2π)/3711 weeks
334-.02248 .43939 (334*2π)/3711 weeks
335.22911 .35252 (335*2π)/3711 weeks
336.11752 .03726 (336*2π)/3711 weeks
337-.01697 .23578 (337*2π)/3711 weeks
338-.06697 .07848 (338*2π)/3711 weeks
339-.34227 .48215 (339*2π)/3711 weeks
340.13077 .57308 (340*2π)/3711 weeks
341-.06202 .27958 (341*2π)/3711 weeks
342.24625 .42862 (342*2π)/3711 weeks
343.06324 .14316 (343*2π)/3711 weeks
344-.00342 .15059 (344*2π)/3711 weeks
345-.13595 .41277 (345*2π)/3711 weeks
346.26921 .44314 (346*2π)/3711 weeks
347.10416 .2352 (347*2π)/3711 weeks
348.30368 .48047 (348*2π)/3711 weeks
349.02253 -.01141 (349*2π)/3711 weeks
350-.15091 .28943 (350*2π)/3711 weeks
351-.30955 .27424 (351*2π)/3711 weeks
352-.29755 1.0112 (352*2π)/3711 weeks
353.58029 .54302 (353*2π)/3711 weeks
354-.06363 .23337 (354*2π)/3711 weeks
355-.19228 .50522 (355*2π)/3711 weeks
356-.16718 .49086 (356*2π)/3711 weeks
357-.07104 .56621 (357*2π)/3711 weeks
358-.20224 .57966 (358*2π)/3711 weeks
359.14842 .84016 (359*2π)/3711 weeks
360.34303 .61406 (360*2π)/3711 weeks
361.06369 .53812 (361*2π)/3711 weeks
362.42179 .69707 (362*2π)/3711 weeks
363-.11551 .87394 (363*2π)/3711 weeks
364.3447 1.63255 (364*2π)/3711 weeks
365.70896 .70258 (365*2π)/3711 weeks
3661.9401 1.39852 (366*2π)/3711 weeks
3671.15408 -1.39488 (367*2π)/3711 weeks
368-.85069 2.96291 (368*2π)/3711 weeks
369.81306 -.02313 (369*2π)/3711 weeks

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