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# Fourier Analysis of YRCW (Yellow Corporation)

YRCW (Yellow Corporation) appears to have interesting cyclic behaviour every 143 weeks (10353.1*sine), 195 weeks (8327.005*sine), and 134 weeks (7873.136*cosine).

YRCW (Yellow Corporation) has an average price of 117,974.8 (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 3/17/1980 to 4/5/2021 for YRCW (Yellow Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0117,974.8   0
1-82,573.82 44,892.42 (1*2π)/21432,143 weeks
2-7,043.309 73,350.7 (2*2π)/21431,072 weeks
311,593.74 -44,951.77 (3*2π)/2143714 weeks
4-37,225.23 2,129.781 (4*2π)/2143536 weeks
520,151.59 16,836.16 (5*2π)/2143429 weeks
65,989.208 -22,136.85 (6*2π)/2143357 weeks
7-3,535.276 15,214.44 (7*2π)/2143306 weeks
81,402.39 9,888.447 (8*2π)/2143268 weeks
9-2,743.944 -7,469.428 (9*2π)/2143238 weeks
10-3,948.577 4,738.548 (10*2π)/2143214 weeks
113,057.213 -8,327.005 (11*2π)/2143195 weeks
125,927.556 7,415.772 (12*2π)/2143179 weeks
132,471.548 -2,797.582 (13*2π)/2143165 weeks
141,596.707 7,818.573 (14*2π)/2143153 weeks
15545.3636 10,353.1 (15*2π)/2143143 weeks
16-7,873.136 -5,492.049 (16*2π)/2143134 weeks
17-2,152.139 7,037.601 (17*2π)/2143126 weeks
18855.3069 -6,252.46 (18*2π)/2143119 weeks
19-1,700.872 1,817.11 (19*2π)/2143113 weeks
20-1,344.228 2,124.69 (20*2π)/2143107 weeks
212,319.057 -4,701.792 (21*2π)/2143102 weeks
22-2,878.855 2,700.597 (22*2π)/214397 weeks
234,066.225 -801.2184 (23*2π)/214393 weeks
24-131.1039 105.7664 (24*2π)/214389 weeks
25-1,504.785 1,374.518 (25*2π)/214386 weeks
264,260.952 1,460.05 (26*2π)/214382 weeks
27-2,387.218 -589.6683 (27*2π)/214379 weeks
28959.2417 3,209.62 (28*2π)/214377 weeks
29-965.8416 1,063.416 (29*2π)/214374 weeks
30411.7251 69.00115 (30*2π)/214371 weeks
31-4,594.461 238.3269 (31*2π)/214369 weeks
32808.3097 -2,150.065 (32*2π)/214367 weeks
336,540.902 -1,214.887 (33*2π)/214365 weeks
34-4,520.393 1,639.608 (34*2π)/214363 weeks
354,113.464 4,008.223 (35*2π)/214361 weeks
36227.97 -1,537.698 (36*2π)/214360 weeks
37-3,578.35 1,907.388 (37*2π)/214358 weeks
382,553.324 2,389.955 (38*2π)/214356 weeks
39-985.3129 -631.6856 (39*2π)/214355 weeks
40-2,907.911 1,352.05 (40*2π)/214354 weeks
41389.8422 -1,077.662 (41*2π)/214352 weeks
42453.1223 873.7989 (42*2π)/214351 weeks
43-1,151.949 -1,602.139 (43*2π)/214350 weeks
44798.4572 -34.59827 (44*2π)/214349 weeks
452,514.269 2,088.912 (45*2π)/214348 weeks
46-2,776.773 725.1093 (46*2π)/214347 weeks
47-354.8421 -1,894.183 (47*2π)/214346 weeks
482,174.147 1,706.176 (48*2π)/214345 weeks
49240.995 334.2925 (49*2π)/214344 weeks
50-1,830.413 1,269.106 (50*2π)/214343 weeks
51228.4042 440.1466 (51*2π)/214342 weeks
52-44.28876 73.33234 (52*2π)/214341 weeks
53-1,829.461 -690.7963 (53*2π)/214340 weeks
54828.2844 680.4978 (54*2π)/214340 weeks
55382.1547 -1,484.718 (55*2π)/214339 weeks
56821.8117 386.004 (56*2π)/214338 weeks
571,023.16 2,082.498 (57*2π)/214338 weeks
58-1,856.294 1,485.781 (58*2π)/214337 weeks
59-651.839 -1,215.066 (59*2π)/214336 weeks
60-1,509.312 -1,128.541 (60*2π)/214336 weeks
613,554.482 105.3098 (61*2π)/214335 weeks
62-562.2736 1,916.461 (62*2π)/214335 weeks
63-1,741.71 -339.8782 (63*2π)/214334 weeks
64-3.07498 592.0089 (64*2π)/214333 weeks
651,149.259 -1,206.021 (65*2π)/214333 weeks
66-1,255.31 574.2307 (66*2π)/214332 weeks
671,080.837 -338.1966 (67*2π)/214332 weeks
681,312.056 1,213.919 (68*2π)/214332 weeks
69-1,214.965 901.4451 (69*2π)/214331 weeks
70-1,407.91 -212.2394 (70*2π)/214331 weeks
711,148.726 -149.5022 (71*2π)/214330 weeks
72-167.3372 -335.7524 (72*2π)/214330 weeks
73448.9631 1,112.988 (73*2π)/214329 weeks
74-1,184.087 248.1582 (74*2π)/214329 weeks
75-43.82568 161.6999 (75*2π)/214329 weeks
76401.1792 -1,344.374 (76*2π)/214328 weeks
77-797.2349 717.8267 (77*2π)/214328 weeks
781,355.992 673.6459 (78*2π)/214327 weeks
79-330.0753 -1,248.863 (79*2π)/214327 weeks
80-418.0242 1,516.621 (80*2π)/214327 weeks
81319.8466 231.5598 (81*2π)/214326 weeks
82-683.2379 -1,544.614 (82*2π)/214326 weeks
831,246.371 762.6962 (83*2π)/214326 weeks
84-181.9964 508.191 (84*2π)/214326 weeks
85384.1775 -95.42383 (85*2π)/214325 weeks
86-267.9009 917.4584 (86*2π)/214325 weeks
87-103.3238 -484.9968 (87*2π)/214325 weeks
8864.87892 355.6438 (88*2π)/214324 weeks
89906.2913 898.9618 (89*2π)/214324 weeks
90-2,068.55 -148.4439 (90*2π)/214324 weeks
91385.3064 -299.9093 (91*2π)/214324 weeks
921,434.598 -974.5562 (92*2π)/214323 weeks
93-1,418.282 1,274.541 (93*2π)/214323 weeks
942,739.044 -465.482 (94*2π)/214323 weeks
95-1,638.636 1,710.072 (95*2π)/214323 weeks
96-534.4263 -134.1895 (96*2π)/214322 weeks
97189.5636 197.2537 (97*2π)/214322 weeks
98-493.8566 -1,247.6 (98*2π)/214322 weeks
99366.4141 402.0742 (99*2π)/214322 weeks
1002,056.724 124.053 (100*2π)/214321 weeks
101-983.8342 1,672.134 (101*2π)/214321 weeks
102-911.4548 513.3126 (102*2π)/214321 weeks
103-10.66928 -1,159.377 (103*2π)/214321 weeks
104-209.0084 1,451.954 (104*2π)/214321 weeks
105289.239 -1,472.361 (105*2π)/214320 weeks
106-557.2834 1,111.861 (106*2π)/214320 weeks
10798.31203 524.6799 (107*2π)/214320 weeks
108-208.8456 -1,530.892 (108*2π)/214320 weeks
109-525.7503 606.0659 (109*2π)/214320 weeks
1101,626.266 -319.8784 (110*2π)/214319 weeks
111-204.2589 849.3514 (111*2π)/214319 weeks
112-511.3373 -85.60799 (112*2π)/214319 weeks
113221.7661 685.6309 (113*2π)/214319 weeks
114-173.7775 -1.12662 (114*2π)/214319 weeks
115-91.86144 5.36065 (115*2π)/214319 weeks
116-1,173.242 -17.17919 (116*2π)/214318 weeks
1171,326.313 -67.90845 (117*2π)/214318 weeks
118-616.1763 -552.965 (118*2π)/214318 weeks
119356.7608 604.6941 (119*2π)/214318 weeks
12093.84316 24.53488 (120*2π)/214318 weeks
121221.6186 -80.05609 (121*2π)/214318 weeks
122111.4189 700.9476 (122*2π)/214318 weeks
123-814.4955 12.12715 (123*2π)/214317 weeks
12486.16356 -333.2627 (124*2π)/214317 weeks
125978.5582 121.0424 (125*2π)/214317 weeks
126-793.8001 -229.7823 (126*2π)/214317 weeks
127255.1107 1,571.467 (127*2π)/214317 weeks
128362.9466 -997.5971 (128*2π)/214317 weeks
129-1,647.395 -39.09949 (129*2π)/214317 weeks
1301,014.055 549.3162 (130*2π)/214316 weeks
131793.4903 -1,136.87 (131*2π)/214316 weeks
132-1,158.57 711.1412 (132*2π)/214316 weeks
1331,261.275 895.742 (133*2π)/214316 weeks
134-532.8549 -985.8714 (134*2π)/214316 weeks
135-349.6977 940.965 (135*2π)/214316 weeks
136390.0896 13.39692 (136*2π)/214316 weeks
137-806.3064 -372.2286 (137*2π)/214316 weeks
1381,015.351 -488.072 (138*2π)/214316 weeks
139-356.6896 751.5908 (139*2π)/214315 weeks
140793.8945 549.2936 (140*2π)/214315 weeks
141-1,040.117 -501.4601 (141*2π)/214315 weeks
142-114.4041 291.4416 (142*2π)/214315 weeks
143746.931 -173.698 (143*2π)/214315 weeks
144139.4987 -109.5533 (144*2π)/214315 weeks
145-361.6122 442.1719 (145*2π)/214315 weeks
146262.2005 892.5016 (146*2π)/214315 weeks
14762.09285 -960.2015 (147*2π)/214315 weeks
148-837.4108 896.8982 (148*2π)/214314 weeks
149441.897 -148.4547 (149*2π)/214314 weeks
150-452.2742 146.0316 (150*2π)/214314 weeks
151-260.7839 -1,094.06 (151*2π)/214314 weeks
152466.0094 594.5361 (152*2π)/214314 weeks
153881.8116 -147.1903 (153*2π)/214314 weeks
154-911.2328 708.2543 (154*2π)/214314 weeks
155113.3763 -402.6766 (155*2π)/214314 weeks
156-208.5731 119.0205 (156*2π)/214314 weeks
157495.051 -38.79377 (157*2π)/214314 weeks
158-735.7889 -711.3959 (158*2π)/214314 weeks
1591,417.257 695.972 (159*2π)/214313 weeks
160-354.6701 150.5684 (160*2π)/214313 weeks
161-426.0726 128.0682 (161*2π)/214313 weeks
162234.0381 126.5394 (162*2π)/214313 weeks
163184.2064 -357.6262 (163*2π)/214313 weeks
164-549.0787 466.8459 (164*2π)/214313 weeks
165742.0185 -485.3864 (165*2π)/214313 weeks
166169.448 621.4304 (166*2π)/214313 weeks
167-1,100.193 91.05987 (167*2π)/214313 weeks
168634.9841 -358.6622 (168*2π)/214313 weeks
169394.7813 -790.1537 (169*2π)/214313 weeks
170-92.5463 1,464.221 (170*2π)/214313 weeks
171356.2845 -354.9017 (171*2π)/214313 weeks
172-939.614 -387.3094 (172*2π)/214312 weeks
173922.1929 509.4494 (173*2π)/214312 weeks
174-3.06381 -755.8387 (174*2π)/214312 weeks
175-97.59196 810.9305 (175*2π)/214312 weeks
176765.429 -46.0549 (176*2π)/214312 weeks
177-645.7037 -198.188 (177*2π)/214312 weeks
178245.5998 785.4282 (178*2π)/214312 weeks
179658.9913 -621.4382 (179*2π)/214312 weeks
180-850.4605 648.4625 (180*2π)/214312 weeks
181496.3895 309.1633 (181*2π)/214312 weeks
182-263.2734 -815.3814 (182*2π)/214312 weeks
18366.04689 829.8911 (183*2π)/214312 weeks
184255.8795 -861.6636 (184*2π)/214312 weeks
185390.544 481.2739 (185*2π)/214312 weeks
186642.7649 668.5137 (186*2π)/214312 weeks
187-995.1588 156.6236 (187*2π)/214311 weeks
188354.8665 280.8853 (188*2π)/214311 weeks
189-295.739 -130.442 (189*2π)/214311 weeks
190-20.95495 -117.9942 (190*2π)/214311 weeks
191200.9439 421.2991 (191*2π)/214311 weeks
192-64.61238 -154.1241 (192*2π)/214311 weeks
193-289.4556 269.9451 (193*2π)/214311 weeks
19411.95441 -293.0974 (194*2π)/214311 weeks
195492.9708 -216.8133 (195*2π)/214311 weeks
196-230.6428 474.2124 (196*2π)/214311 weeks
197758.6248 -68.78072 (197*2π)/214311 weeks
198-457.2763 552.6545 (198*2π)/214311 weeks
199-180.7709 191.7481 (199*2π)/214311 weeks
200141.7464 -232.1209 (200*2π)/214311 weeks
201-76.71802 150.207 (201*2π)/214311 weeks
20222.63977 294.629 (202*2π)/214311 weeks
203-224.5295 202.0137 (203*2π)/214311 weeks
204-96.70647 -558.6653 (204*2π)/214311 weeks
20550.54602 367.43 (205*2π)/214310 weeks
206212.1982 14.30925 (206*2π)/214310 weeks
20777.29236 -38.80382 (207*2π)/214310 weeks
208-733.4192 289.2141 (208*2π)/214310 weeks
209740.8438 -171.0377 (209*2π)/214310 weeks
210-422.4616 -402.7193 (210*2π)/214310 weeks
211113.4322 300.5321 (211*2π)/214310 weeks
212994.5878 151.7834 (212*2π)/214310 weeks
213-1,091.007 116.7993 (213*2π)/214310 weeks
214337.3432 152.2533 (214*2π)/214310 weeks
215188.7913 -452.0966 (215*2π)/214310 weeks
216113.947 187.9516 (216*2π)/214310 weeks
217358.7605 514.2145 (217*2π)/214310 weeks
218-267.8651 137.4104 (218*2π)/214310 weeks
219-401.6503 261.1206 (219*2π)/214310 weeks
220173.8472 -348.3339 (220*2π)/214310 weeks
221-472.2522 66.67168 (221*2π)/214310 weeks
222333.0933 -478.4739 (222*2π)/214310 weeks
223919.8463 158.0372 (223*2π)/214310 weeks
224-631.3703 525.9537 (224*2π)/214310 weeks
225151.4526 366.6629 (225*2π)/214310 weeks
226-105.9179 -422.7824 (226*2π)/21439 weeks
227-294.2222 -100.6015 (227*2π)/21439 weeks
228478.028 576.1826 (228*2π)/21439 weeks
229-206.551 -621.9352 (229*2π)/21439 weeks
230140.2874 141.1991 (230*2π)/21439 weeks
231284.7169 520.248 (231*2π)/21439 weeks
232-249.0791 62.43774 (232*2π)/21439 weeks
233-509.5245 -589.095 (233*2π)/21439 weeks
234788.2854 228.1599 (234*2π)/21439 weeks
235-16.31212 -86.64212 (235*2π)/21439 weeks
23659.93912 -28.79488 (236*2π)/21439 weeks
237603.9603 298.9337 (237*2π)/21439 weeks
238-109.5518 282.6152 (238*2π)/21439 weeks
239-28.5206 408.5327 (239*2π)/21439 weeks
240-115.1624 91.99065 (240*2π)/21439 weeks
241-115.5787 -117.0759 (241*2π)/21439 weeks
242-146.4914 435.0219 (242*2π)/21439 weeks
243210.7993 -406.2358 (243*2π)/21439 weeks
244-98.35614 80.05974 (244*2π)/21439 weeks
245293.3173 614.5826 (245*2π)/21439 weeks
246-461.3885 -257.1201 (246*2π)/21439 weeks
24781.15607 210.2401 (247*2π)/21439 weeks
248-126.0632 -341.3207 (248*2π)/21439 weeks
249108.3315 262.4453 (249*2π)/21439 weeks
250284.6924 -313.1422 (250*2π)/21439 weeks
251336.6363 455.6562 (251*2π)/21439 weeks
252-576.3676 492.609 (252*2π)/21439 weeks
253201.1785 129.151 (253*2π)/21438 weeks
254-737.0515 -580.7212 (254*2π)/21438 weeks
255129.5828 207.7386 (255*2π)/21438 weeks
256787.3333 -324.9236 (256*2π)/21438 weeks
257-596.7731 154.4822 (257*2π)/21438 weeks
258428.9521 595.6522 (258*2π)/21438 weeks
259-351.4763 -423.9489 (259*2π)/21438 weeks
260-227.1441 -67.95084 (260*2π)/21438 weeks
261408.8706 40.68016 (261*2π)/21438 weeks
262266.5887 -290.0377 (262*2π)/21438 weeks
263-287.2515 429.8516 (263*2π)/21438 weeks
264643.096 43.84042 (264*2π)/21438 weeks
265-567.8947 45.55256 (265*2π)/21438 weeks
266270.4621 68.79679 (266*2π)/21438 weeks
26781.0843 -94.89402 (267*2π)/21438 weeks
26888.51547 195.2878 (268*2π)/21438 weeks
269157.6263 209.8972 (269*2π)/21438 weeks
270-385.4781 -32.44617 (270*2π)/21438 weeks
271512.1064 -4.48473 (271*2π)/21438 weeks
272-22.6949 378.5447 (272*2π)/21438 weeks
273-250.7148 63.35122 (273*2π)/21438 weeks
27439.89463 298.4697 (274*2π)/21438 weeks
275-105.3974 -144.3683 (275*2π)/21438 weeks
276-450.1964 79.79585 (276*2π)/21438 weeks
277190.6479 -218.1788 (277*2π)/21438 weeks
278380.2872 -379.9326 (278*2π)/21438 weeks
279-6.86243 537.204 (279*2π)/21438 weeks
280180.5759 352.1813 (280*2π)/21438 weeks
281-444.8241 -267.2039 (281*2π)/21438 weeks
28230.9778 19.06517 (282*2π)/21438 weeks
283321.6549 50.91373 (283*2π)/21438 weeks
28461.08249 79.687 (284*2π)/21438 weeks
285-316.755 376.1823 (285*2π)/21438 weeks
28657.00238 -219.5991 (286*2π)/21437 weeks
287-124.5116 148.3151 (287*2π)/21437 weeks
288-29.08071 -236.1558 (288*2π)/21437 weeks
28971.74872 -6.31079 (289*2π)/21437 weeks
290202.4374 186.7633 (290*2π)/21437 weeks
291-59.54379 -215.2822 (291*2π)/21437 weeks
292-21.85464 263.3569 (292*2π)/21437 weeks
293350.6337 21.57115 (293*2π)/21437 weeks
294-365.7395 67.76817 (294*2π)/21437 weeks
295185.4093 38.80531 (295*2π)/21437 weeks
296-7.15586 112.598 (296*2π)/21437 weeks
297-29.2756 51.1483 (297*2π)/21437 weeks
298-233.8498 -95.36997 (298*2π)/21437 weeks
29983.09629 90.60876 (299*2π)/21437 weeks
300383.7868 -561.1857 (300*2π)/21437 weeks
301-190.2519 742.9701 (301*2π)/21437 weeks
302440.5428 -250.003 (302*2π)/21437 weeks
303-230.8403 220.8693 (303*2π)/21437 weeks
304-171.3132 296.4574 (304*2π)/21437 weeks
305165.0221 -212.5781 (305*2π)/21437 weeks
306-108.8583 -206.0367 (306*2π)/21437 weeks
307-35.32628 505.3018 (307*2π)/21437 weeks
308365.6055 -357.1382 (308*2π)/21437 weeks
309-285.8292 -48.85632 (309*2π)/21437 weeks
310309.5737 539.015 (310*2π)/21437 weeks
31138.20656 -185.3559 (311*2π)/21437 weeks
312-246.5281 143.9918 (312*2π)/21437 weeks
313-.90704 -19.87862 (313*2π)/21437 weeks
314236.3451 184.3246 (314*2π)/21437 weeks
3153.06217 -205.1363 (315*2π)/21437 weeks
316-309.6057 412.0896 (316*2π)/21437 weeks
317301.9876 10.40694 (317*2π)/21437 weeks
318-145.4891 -197.6946 (318*2π)/21437 weeks
319-357.7879 295.6203 (319*2π)/21437 weeks
320308.3712 -108.53 (320*2π)/21437 weeks
321-126.0923 -484.4455 (321*2π)/21437 weeks
322257.1577 348.679 (322*2π)/21437 weeks
323319.1921 209.7074 (323*2π)/21437 weeks
324-317.3371 154.3654 (324*2π)/21437 weeks
325-229.1353 -158.9536 (325*2π)/21437 weeks
326381.3743 222.5165 (326*2π)/21437 weeks
327-222.8277 -109.2385 (327*2π)/21437 weeks
328-76.43847 153.8369 (328*2π)/21437 weeks
3295.95759 -97.65673 (329*2π)/21437 weeks
33066.23614 11.81473 (330*2π)/21436 weeks
331-151.9474 -6.84469 (331*2π)/21436 weeks
33263.0582 -296.0437 (332*2π)/21436 weeks
333456.0721 164.581 (333*2π)/21436 weeks
334-63.41502 216.7893 (334*2π)/21436 weeks
335-79.59177 100.6857 (335*2π)/21436 weeks
336-125.2533 41.08294 (336*2π)/21436 weeks
33789.16595 -231.8307 (337*2π)/21436 weeks
338224.0572 80.49637 (338*2π)/21436 weeks
339177.7203 284.9174 (339*2π)/21436 weeks
340-295.6711 299.155 (340*2π)/21436 weeks
341-153.0186 -28.65905 (341*2π)/21436 weeks
342-299.7611 -232.1169 (342*2π)/21436 weeks
343178.4207 -251.9869 (343*2π)/21436 weeks
344379.0356 -163.9755 (344*2π)/21436 weeks
345121.3503 438.1402 (345*2π)/21436 weeks
346153.2303 25.71554 (346*2π)/21436 weeks
347-473.6389 396.1013 (347*2π)/21436 weeks
34828.24056 -499.8273 (348*2π)/21436 weeks
349391.0688 131.7456 (349*2π)/21436 weeks
350-108.1907 144.2275 (350*2π)/21436 weeks
351-83.31916 417.8545 (351*2π)/21436 weeks
352-273.7599 -324.467 (352*2π)/21436 weeks
35331.29671 -237.4835 (353*2π)/21436 weeks
35454.40493 147.0464 (354*2π)/21436 weeks
355324.1983 -272.4237 (355*2π)/21436 weeks
356-93.61922 177.5978 (356*2π)/21436 weeks
357215.6089 -46.34822 (357*2π)/21436 weeks
358225.7793 304.4248 (358*2π)/21436 weeks
359-329.2437 -24.05095 (359*2π)/21436 weeks
360280.9261 109.1261 (360*2π)/21436 weeks
361-255.3703