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# Fourier Analysis of BERY (Berry Global Group)

BERY (Berry Global Group) appears to have interesting cyclic behaviour every 25 weeks (1.7301*sine), 21 weeks (1.3746*sine), and 23 weeks (1.0862*sine).

BERY (Berry Global Group) has an average price of 35.42 (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 10/4/2012 to 5/29/2018 for BERY (Berry Global Group), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
035.42372   0
12.63935 -14.97949 (1*2π)/296296 weeks
2-.9401 -8.9274 (2*2π)/296148 weeks
3-2.20855 -3.06842 (3*2π)/29699 weeks
4-1.00149 -4.19586 (4*2π)/29674 weeks
5-1.00983 -2.00461 (5*2π)/29659 weeks
6-1.02826 -2.12759 (6*2π)/29649 weeks
7.34404 -2.10367 (7*2π)/29642 weeks
8-.70946 -1.06665 (8*2π)/29637 weeks
9-.08852 -1.44435 (9*2π)/29633 weeks
10-.78673 -.56015 (10*2π)/29630 weeks
11-.15129 -.60216 (11*2π)/29627 weeks
12-.0504 -1.73014 (12*2π)/29625 weeks
13.31002 -1.08617 (13*2π)/29623 weeks
14-.41869 -1.37464 (14*2π)/29621 weeks
15-.5333 -.21344 (15*2π)/29620 weeks
16.34045 -.67762 (16*2π)/29619 weeks
17-.29609 -.83479 (17*2π)/29617 weeks
18-.13252 -.68909 (18*2π)/29616 weeks
19-.20603 -.6113 (19*2π)/29616 weeks
20-.27879 -.38933 (20*2π)/29615 weeks
21-.37 -.24814 (21*2π)/29614 weeks
22-.40843 -.43982 (22*2π)/29613 weeks
23-.0188 -.67194 (23*2π)/29613 weeks
24-.37125 -.57261 (24*2π)/29612 weeks
25-.17775 -.08904 (25*2π)/29612 weeks
26.01644 -.17632 (26*2π)/29611 weeks
27.05979 -.15154 (27*2π)/29611 weeks
28.01657 -.47474 (28*2π)/29611 weeks
29-.11818 -.37492 (29*2π)/29610 weeks
30-.23175 -.1723 (30*2π)/29610 weeks
31-.06453 -.35189 (31*2π)/29610 weeks
32-.01637 -.24743 (32*2π)/2969 weeks
33-.11434 -.1476 (33*2π)/2969 weeks
34-.09718 -.36209 (34*2π)/2969 weeks
35-.18018 -.31543 (35*2π)/2968 weeks
36.06992 -.28483 (36*2π)/2968 weeks
37-.03249 -.21063 (37*2π)/2968 weeks
38-.08497 -.20401 (38*2π)/2968 weeks
39-.1082 -.32421 (39*2π)/2968 weeks
40-.30113 -.19048 (40*2π)/2967 weeks
41.09179 -.03544 (41*2π)/2967 weeks
42.08254 -.1418 (42*2π)/2967 weeks
43-.07623 -.27344 (43*2π)/2967 weeks
44-.01796 -.08611 (44*2π)/2967 weeks
45.04432 -.34855 (45*2π)/2967 weeks
46-.08205 -.34785 (46*2π)/2966 weeks
47-.06937 -.34064 (47*2π)/2966 weeks
48-.13622 -.33469 (48*2π)/2966 weeks
49.02412 -.24204 (49*2π)/2966 weeks
50-.05116 -.21252 (50*2π)/2966 weeks
51-.14794 -.20572 (51*2π)/2966 weeks
52-.21388 -.2575 (52*2π)/2966 weeks
53-.08549 -.13516 (53*2π)/2966 weeks
54-.06814 -.37083 (54*2π)/2965 weeks
55-.16419 -.2482 (55*2π)/2965 weeks
56-.0941 -.15722 (56*2π)/2965 weeks
57-.13296 -.31448 (57*2π)/2965 weeks
58-.09971 -.18307 (58*2π)/2965 weeks
59-.22409 -.27938 (59*2π)/2965 weeks
60-.15879 -.12023 (60*2π)/2965 weeks
61-.22075 -.07741 (61*2π)/2965 weeks
62-.1902 -.12811 (62*2π)/2965 weeks
63-.09296 -.28941 (63*2π)/2965 weeks
64-.24841 -.14255 (64*2π)/2965 weeks
65-.11596 -.2196 (65*2π)/2965 weeks
66-.2104 -.11414 (66*2π)/2964 weeks
67-.07767 -.10578 (67*2π)/2964 weeks
68-.17285 -.11427 (68*2π)/2964 weeks
69-.09527 -.08704 (69*2π)/2964 weeks
70-.19949 -.1423 (70*2π)/2964 weeks
71-.21173 -.18942 (71*2π)/2964 weeks
72-.21755 .00596 (72*2π)/2964 weeks
73-.08044 -.16141 (73*2π)/2964 weeks
74-.07885 -.12426 (74*2π)/2964 weeks
75-.17114 -.13597 (75*2π)/2964 weeks
76-.12755 .0042 (76*2π)/2964 weeks
77.00952 -.14613 (77*2π)/2964 weeks
78-.24233 -.10738 (78*2π)/2964 weeks
79-.06631 -.04011 (79*2π)/2964 weeks
80-.08708 -.13103 (80*2π)/2964 weeks
81-.21398 -.09383 (81*2π)/2964 weeks
82-.11544 -.01014 (82*2π)/2964 weeks
83-.06421 -.06649 (83*2π)/2964 weeks
84-.01188 -.16473 (84*2π)/2964 weeks
85-.17163 -.11901 (85*2π)/2963 weeks
86-.15201 -.03109 (86*2π)/2963 weeks
87-.14952 .01152 (87*2π)/2963 weeks
88-.17161 -.03676 (88*2π)/2963 weeks
89-.11341 -.02625 (89*2π)/2963 weeks
90-.14049 -.06477 (90*2π)/2963 weeks
91-.03611 -.02753 (91*2π)/2963 weeks
92-.11576 .02552 (92*2π)/2963 weeks
93.06624 .07731 (93*2π)/2963 weeks
94-.05847 -.13026 (94*2π)/2963 weeks
95-.0407 -.105 (95*2π)/2963 weeks
96-.0871 -.14933 (96*2π)/2963 weeks
97-.01036 -.12747 (97*2π)/2963 weeks
98-.13693 -.05544 (98*2π)/2963 weeks
99-.09885 -.06463 (99*2π)/2963 weeks
100-.03551 -.09995 (100*2π)/2963 weeks
101-.17724 -.15852 (101*2π)/2963 weeks
102-.1142 -.11218 (102*2π)/2963 weeks
103-.19782 -.06545 (103*2π)/2963 weeks
104-.08438 -.06165 (104*2π)/2963 weeks
105-.20253 -.10408 (105*2π)/2963 weeks
106-.21525 -.11716 (106*2π)/2963 weeks
107-.16479 -.06485 (107*2π)/2963 weeks
108-.18061 .00359 (108*2π)/2963 weeks
109-.00478 .05489 (109*2π)/2963 weeks
110-.08344 -.09086 (110*2π)/2963 weeks
111-.11629 -.00982 (111*2π)/2963 weeks
112-.11871 .01295 (112*2π)/2963 weeks
113-.10051 -.08731 (113*2π)/2963 weeks
114-.16139 -.03078 (114*2π)/2963 weeks
115-.03602 -.03488 (115*2π)/2963 weeks
116-.15451 -.08634 (116*2π)/2963 weeks
117-.08405 -.05702 (117*2π)/2963 weeks
118-.19884 -.01344 (118*2π)/2963 weeks
119-.10904 -.04515 (119*2π)/2962 weeks
120-.07839 -.02643 (120*2π)/2962 weeks
121-.07109 -.07553 (121*2π)/2962 weeks
122-.10528 .01494 (122*2π)/2962 weeks
123-.13335 .00993 (123*2π)/2962 weeks
124-.23555 .00485 (124*2π)/2962 weeks
125-.03971 -.02154 (125*2π)/2962 weeks
126-.16697 -.06699 (126*2π)/2962 weeks
127-.11277 -.03437 (127*2π)/2962 weeks
128-.17125 -.01666 (128*2π)/2962 weeks
129-.07453 .03197 (129*2π)/2962 weeks
130-.15372 -.00522 (130*2π)/2962 weeks
131-.10463 -.02362 (131*2π)/2962 weeks
132-.15394 .01285 (132*2π)/2962 weeks
133-.03923 .01885 (133*2π)/2962 weeks
134-.13152 .06525 (134*2π)/2962 weeks
135-.00414 -.01901 (135*2π)/2962 weeks
136-.15212 -.13242 (136*2π)/2962 weeks
137-.09431 .08166 (137*2π)/2962 weeks
138-.19144 -.02531 (138*2π)/2962 weeks
139-.0757 .05995 (139*2π)/2962 weeks
140-.0944 .01167 (140*2π)/2962 weeks
141-.11256 .02277 (141*2π)/2962 weeks
142-.12038 .07858 (142*2π)/2962 weeks
143-.00725 .03322 (143*2π)/2962 weeks
144-.06779 .02431 (144*2π)/2962 weeks
145-.00782 .03371 (145*2π)/2962 weeks
146-.06475 .07391 (146*2π)/2962 weeks
147-.0647 .08179 (147*2π)/2962 weeks
148-.0327   (148*2π)/2962 weeks
149-.0647 -.08179 (149*2π)/2962 weeks
150-.06475 -.07391 (150*2π)/2962 weeks
151-.00782 -.03371 (151*2π)/2962 weeks
152-.06779 -.02431 (152*2π)/2962 weeks
153-.00725 -.03322 (153*2π)/2962 weeks
154-.12038 -.07858 (154*2π)/2962 weeks
155-.11256 -.02277 (155*2π)/2962 weeks
156-.0944 -.01167 (156*2π)/2962 weeks
157-.0757 -.05995 (157*2π)/2962 weeks
158-.19144 .02531 (158*2π)/2962 weeks
159-.09431 -.08166 (159*2π)/2962 weeks
160-.15212 .13242 (160*2π)/2962 weeks
161-.00414 .01901 (161*2π)/2962 weeks
162-.13152 -.06525 (162*2π)/2962 weeks
163-.03923 -.01885 (163*2π)/2962 weeks
164-.15394 -.01285 (164*2π)/2962 weeks
165-.10463 .02362 (165*2π)/2962 weeks
166-.15372 .00522 (166*2π)/2962 weeks
167-.07453 -.03197 (167*2π)/2962 weeks
168-.17125 .01666 (168*2π)/2962 weeks
169-.11277 .03437 (169*2π)/2962 weeks
170-.16697 .06699 (170*2π)/2962 weeks
171-.03971 .02154 (171*2π)/2962 weeks
172-.23555 -.00485 (172*2π)/2962 weeks
173-.13335 -.00993 (173*2π)/2962 weeks
174-.10528 -.01494 (174*2π)/2962 weeks
175-.07109 .07553 (175*2π)/2962 weeks
176-.07839 .02643 (176*2π)/2962 weeks
177-.10904 .04515 (177*2π)/2962 weeks
178-.19884 .01344 (178*2π)/2962 weeks
179-.08405 .05702 (179*2π)/2962 weeks
180-.15451 .08634 (180*2π)/2962 weeks
181-.03602 .03488 (181*2π)/2962 weeks
182-.16139 .03078 (182*2π)/2962 weeks
183-.10051 .08731 (183*2π)/2962 weeks
184-.11871 -.01295 (184*2π)/2962 weeks
185-.11629 .00982 (185*2π)/2962 weeks
186-.08344 .09086 (186*2π)/2962 weeks
187-.00478 -.05489 (187*2π)/2962 weeks
188-.18061 -.00359 (188*2π)/2962 weeks
189-.16479 .06485 (189*2π)/2962 weeks
190-.21525 .11716 (190*2π)/2962 weeks
191-.20253 .10408 (191*2π)/2962 weeks
192-.08438 .06165 (192*2π)/2962 weeks
193-.19782 .06545 (193*2π)/2962 weeks
194-.1142 .11218 (194*2π)/2962 weeks
195-.17724 .15852 (195*2π)/2962 weeks
196-.03551 .09995 (196*2π)/2962 weeks
197-.09885 .06463 (197*2π)/2962 weeks
198-.13693 .05544 (198*2π)/2961 weeks
199-.01036 .12747 (199*2π)/2961 weeks
200-.0871 .14933 (200*2π)/2961 weeks
201-.0407 .105 (201*2π)/2961 weeks
202-.05847 .13026 (202*2π)/2961 weeks
203.06624 -.07731 (203*2π)/2961 weeks
204-.11576 -.02552 (204*2π)/2961 weeks
205-.03611 .02753 (205*2π)/2961 weeks
206-.14049 .06477 (206*2π)/2961 weeks
207-.11341 .02625 (207*2π)/2961 weeks
208-.17161 .03676 (208*2π)/2961 weeks
209-.14952 -.01152 (209*2π)/2961 weeks
210-.15201 .03109 (210*2π)/2961 weeks
211-.17163 .11901 (211*2π)/2961 weeks
212-.01188 .16473 (212*2π)/2961 weeks
213-.06421 .06649 (213*2π)/2961 weeks
214-.11544 .01014 (214*2π)/2961 weeks
215-.21398 .09383 (215*2π)/2961 weeks
216-.08708 .13103 (216*2π)/2961 weeks
217-.06631 .04011 (217*2π)/2961 weeks
218-.24233 .10738 (218*2π)/2961 weeks
219.00952 .14613 (219*2π)/2961 weeks
220-.12755 -.0042 (220*2π)/2961 weeks
221-.17114 .13597 (221*2π)/2961 weeks
222-.07885 .12426 (222*2π)/2961 weeks
223-.08044 .16141 (223*2π)/2961 weeks
224-.21755 -.00596 (224*2π)/2961 weeks
225-.21173 .18942 (225*2π)/2961 weeks
226-.19949 .1423 (226*2π)/2961 weeks
227-.09527 .08704 (227*2π)/2961 weeks
228-.17285 .11427 (228*2π)/2961 weeks
229-.07767 .10578 (229*2π)/2961 weeks
230-.2104 .11414 (230*2π)/2961 weeks
231-.11596 .2196 (231*2π)/2961 weeks
232-.24841 .14255 (232*2π)/2961 weeks
233-.09296 .28941 (233*2π)/2961 weeks
234-.1902 .12811 (234*2π)/2961 weeks
235-.22075 .07741 (235*2π)/2961 weeks
236-.15879 .12023 (236*2π)/2961 weeks
237-.22409 .27938 (237*2π)/2961 weeks
238-.09971 .18307 (238*2π)/2961 weeks
239-.13296 .31448 (239*2π)/2961 weeks
240-.0941 .15722 (240*2π)/2961 weeks
241-.16419 .2482 (241*2π)/2961 weeks
242-.06814 .37083 (242*2π)/2961 weeks
243-.08549 .13516 (243*2π)/2961 weeks
244-.21388 .2575 (244*2π)/2961 weeks
245-.14794 .20572 (245*2π)/2961 weeks
246-.05116 .21252 (246*2π)/2961 weeks
247.02412 .24204 (247*2π)/2961 weeks
248-.13622 .33469 (248*2π)/2961 weeks
249-.06937 .34064 (249*2π)/2961 weeks
250-.08205 .34785 (250*2π)/2961 weeks
251.04432 .34855 (251*2π)/2961 weeks
252-.01796 .08611 (252*2π)/2961 weeks
253-.07623 .27344 (253*2π)/2961 weeks
254.08254 .1418 (254*2π)/2961 weeks
255.09179 .03544 (255*2π)/2961 weeks
256-.30113 .19048 (256*2π)/2961 weeks
257-.1082 .32421 (257*2π)/2961 weeks
258-.08497 .20401 (258*2π)/2961 weeks
259-.03249 .21063 (259*2π)/2961 weeks
260.06992 .28483 (260*2π)/2961 weeks
261-.18018 .31543 (261*2π)/2961 weeks
262-.09718 .36209 (262*2π)/2961 weeks
263-.11434 .1476 (263*2π)/2961 weeks
264-.01637 .24743 (264*2π)/2961 weeks
265-.06453 .35189 (265*2π)/2961 weeks
266-.23175 .1723 (266*2π)/2961 weeks
267-.11818 .37492 (267*2π)/2961 weeks
268.01657 .47474 (268*2π)/2961 weeks
269.05979 .15154 (269*2π)/2961 weeks
270.01644 .17632 (270*2π)/2961 weeks
271-.17775 .08904 (271*2π)/2961 weeks
272-.37125 .57261 (272*2π)/2961 weeks
273-.0188 .67194 (273*2π)/2961 weeks
274-.40843 .43982 (274*2π)/2961 weeks
275-.37 .24814 (275*2π)/2961 weeks
276-.27879 .38933 (276*2π)/2961 weeks
277-.20603 .6113 (277*2π)/2961 weeks
278-.13252 .68909 (278*2π)/2961 weeks
279-.29609 .83479 (279*2π)/2961 weeks
280.34045 .67762 (280*2π)/2961 weeks
281-.5333 .21344 (281*2π)/2961 weeks
282-.41869 1.37464 (282*2π)/2961 weeks
283.31002 1.08617 (283*2π)/2961 weeks
284-.0504 1.73014 (284*2π)/2961 weeks
285-.15129 .60216 (285*2π)/2961 weeks
286-.78673 .56015 (286*2π)/2961 weeks
287-.08852 1.44435 (287*2π)/2961 weeks
288-.70946 1.06665 (288*2π)/2961 weeks
289.34404 2.10367 (289*2π)/2961 weeks
290-1.02826 2.12759 (290*2π)/2961 weeks
291-1.00983 2.00461 (291*2π)/2961 weeks
292-1.00149 4.19586 (292*2π)/2961 weeks
293-2.20855 3.06842 (293*2π)/2961 weeks
294-.9401 8.9274 (294*2π)/2961 weeks