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Fourier Analysis of YRCW (YRC Worldwide Inc)


YRCW (YRC Worldwide Inc) appears to have interesting cyclic behaviour every 60 weeks (8785.565*sine), 64 weeks (8041.306*cosine), and 88 weeks (7820.279*sine).

YRCW (YRC Worldwide Inc) has an average price of 108,466.8 (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.

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

Fourier Analysis

Using data from 1/3/2000 to 6/18/2018 for YRCW (YRC Worldwide Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0108,466.8   0 
1-19,643.41 162,323.8 (1*2π)/964964 weeks
2-56,699.06 -31,562.64 (2*2π)/964482 weeks
331,543.69 5,678.558 (3*2π)/964321 weeks
4-6,780.78 19,030.53 (4*2π)/964241 weeks
5-3,444.194 7,524.343 (5*2π)/964193 weeks
6-8,009.473 -6.25298 (6*2π)/964161 weeks
78,549.333 -3,631.191 (7*2π)/964138 weeks
84,477.723 13,141.94 (8*2π)/964121 weeks
9-7,735.403 3,688.045 (9*2π)/964107 weeks
103,247.977 -2,596.838 (10*2π)/96496 weeks
112,775.711 7,820.279 (11*2π)/96488 weeks
12-3,826.672 1,281.307 (12*2π)/96480 weeks
132,582.53 2,260.194 (13*2π)/96474 weeks
14-2,060.857 -69.53478 (14*2π)/96469 weeks
158,041.306 2,880.229 (15*2π)/96464 weeks
16-5,758.438 8,785.565 (16*2π)/96460 weeks
17-762.5997 -4,932.721 (17*2π)/96457 weeks
183,144.741 3,302.102 (18*2π)/96454 weeks
191,400.071 1,149.287 (19*2π)/96451 weeks
201,038.777 4,749.91 (20*2π)/96448 weeks
21-539.7385 1,176.091 (21*2π)/96446 weeks
22850.352 3,929.75 (22*2π)/96444 weeks
23-1,941.221 836.5256 (23*2π)/96442 weeks
242,244.354 1,952.04 (24*2π)/96440 weeks
25-1,130.773 3,240.97 (25*2π)/96439 weeks
26-178.9583 2,389.675 (26*2π)/96437 weeks
27-2,580.901 1,577.971 (27*2π)/96436 weeks
28626.1369 732.3439 (28*2π)/96434 weeks
29-2,583.6 1,986.226 (29*2π)/96433 weeks
30-62.6643 -1,044.637 (30*2π)/96432 weeks
31-773.5281 820.787 (31*2π)/96431 weeks
32910.1642 -821.2844 (32*2π)/96430 weeks
33936.8778 868.8676 (33*2π)/96429 weeks
341,850.308 2,219.891 (34*2π)/96428 weeks
35-2,811.533 2,392.047 (35*2π)/96428 weeks
36380.268 -1,902.083 (36*2π)/96427 weeks
371,101.229 1,730.817 (37*2π)/96426 weeks
38-60.46921 690.6021 (38*2π)/96425 weeks
39652.4822 633.4044 (39*2π)/96425 weeks
401,527.71 2,012.918 (40*2π)/96424 weeks
41-1,431.452 3,590.757 (41*2π)/96424 weeks
42-3,071.762 -275.9223 (42*2π)/96423 weeks
43621.5811 -830.5078 (43*2π)/96422 weeks
44-1,036.176 973.5096 (44*2π)/96422 weeks
45.94334 -1,676.173 (45*2π)/96421 weeks
461,849.717 177.0886 (46*2π)/96421 weeks
471,273.941 2,269.492 (47*2π)/96421 weeks
48-2,401.366 1,518.168 (48*2π)/96420 weeks
49334.6348 -1,565.841 (49*2π)/96420 weeks
50381.8813 1,092.67 (50*2π)/96419 weeks
51427.9218 86.61124 (51*2π)/96419 weeks
52-741.7038 1,123.096 (52*2π)/96419 weeks
53219.9832 -1,215.069 (53*2π)/96418 weeks
54947.3596 765.2316 (54*2π)/96418 weeks
55252.0923 564.5013 (55*2π)/96418 weeks
56-547.2747 -208.2012 (56*2π)/96417 weeks
572,620.514 -426.2607 (57*2π)/96417 weeks
58-478.2053 3,327.932 (58*2π)/96417 weeks
59-1,043.604 -2,078.289 (59*2π)/96416 weeks
603,133.662 1,021.283 (60*2π)/96416 weeks
61-559.6307 2,300.573 (61*2π)/96416 weeks
62-487.6816 1,057.482 (62*2π)/96416 weeks
63-1,657.816 -199.3245 (63*2π)/96415 weeks
641,162.127 -805.2237 (64*2π)/96415 weeks
65-525.0331 457.2922 (65*2π)/96415 weeks
661,638.699 -1,245.796 (66*2π)/96415 weeks
67972.0205 1,458.808 (67*2π)/96414 weeks
681,094.353 -6.44787 (68*2π)/96414 weeks
691,040.892 1,814.501 (69*2π)/96414 weeks
70344.9055 1,316.904 (70*2π)/96414 weeks
71-680.225 1,689.312 (71*2π)/96414 weeks
72-529.6586 -334.2753 (72*2π)/96413 weeks
731,017.047 708.3109 (73*2π)/96413 weeks
74-448.7151 1,187.286 (74*2π)/96413 weeks
75407.6948 57.38884 (75*2π)/96413 weeks
76149.5398 2,098.259 (76*2π)/96413 weeks
77-2,127.947 270.9415 (77*2π)/96413 weeks
78290.8019 -1,566.648 (78*2π)/96412 weeks
791,729.913 899.0787 (79*2π)/96412 weeks
80-1,113.617 1,659.181 (80*2π)/96412 weeks
81-600.723 -1,330.563 (81*2π)/96412 weeks
821,594.579 -3.79466 (82*2π)/96412 weeks
83714.332 1,321.993 (83*2π)/96412 weeks
84-566.4487 1,136.248 (84*2π)/96411 weeks
85-273.6194 -221.2163 (85*2π)/96411 weeks
86521.2631 488.0565 (86*2π)/96411 weeks
87-260.1032 502.4804 (87*2π)/96411 weeks
88295.0002 -157.9521 (88*2π)/96411 weeks
89693.8932 839.4717 (89*2π)/96411 weeks
90-359.9592 661.2634 (90*2π)/96411 weeks
91256.6411 328.5687 (91*2π)/96411 weeks
92-344.602 480.0117 (92*2π)/96410 weeks
93674.8758 -60.49637 (93*2π)/96410 weeks
94-63.11456 1,639.994 (94*2π)/96410 weeks
95-1,213.856 -423.5398 (95*2π)/96410 weeks
961,039.355 -297.937 (96*2π)/96410 weeks
9730.39879 1,034.38 (97*2π)/96410 weeks
98-384.8267 46.94565 (98*2π)/96410 weeks
99390.3754 -180.9122 (99*2π)/96410 weeks
100388.1964 838.9863 (100*2π)/96410 weeks
101-491.061 -161.0051 (101*2π)/96410 weeks
1021,183.757 264.0625 (102*2π)/9649 weeks
103-491.166 1,050.361 (103*2π)/9649 weeks
104252.124 -211.8886 (104*2π)/9649 weeks
10528.1915 913.6276 (105*2π)/9649 weeks
106-391.119 -54.9 (106*2π)/9649 weeks
107358.3447 13.91945 (107*2π)/9649 weeks
10869.83881 593.4473 (108*2π)/9649 weeks
109-346.4448 -273.642 (109*2π)/9649 weeks
110833.1874 -131.4007 (110*2π)/9649 weeks
111504.155 519.8317 (111*2π)/9649 weeks
112250.588 702.9785 (112*2π)/9649 weeks
113108.4018 84.88981 (113*2π)/9649 weeks
114845.9265 1,144.445 (114*2π)/9648 weeks
115-1,274.678 1,051.233 (115*2π)/9648 weeks
116-169.9693 -835.9083 (116*2π)/9648 weeks
117569.6691 694.0567 (117*2π)/9648 weeks
118-849.5322 244.2296 (118*2π)/9648 weeks
119246.1396 -725.869 (119*2π)/9648 weeks
120733.9189 212.455 (120*2π)/9648 weeks
121318.5045 581.3962 (121*2π)/9648 weeks
122-120.7236 327.0071 (122*2π)/9648 weeks
123349.2223 182.6432 (123*2π)/9648 weeks
124-222.9382 634.7412 (124*2π)/9648 weeks
125-82.21808 -472.9283 (125*2π)/9648 weeks
126770.168 415.4148 (126*2π)/9648 weeks
127-240.9559 393.2557 (127*2π)/9648 weeks
128369.3251 -5.05466 (128*2π)/9648 weeks
129253.1578 417.9788 (129*2π)/9647 weeks
130220.4943 538.0198 (130*2π)/9647 weeks
131-465.5324 396.9098 (131*2π)/9647 weeks
13282.32533 -392.5483 (132*2π)/9647 weeks
133411.5986 139.1162 (133*2π)/9647 weeks
134570.3507 2.83309 (134*2π)/9647 weeks
135725.2795 1,027.144 (135*2π)/9647 weeks
136-690.8705 799.8287 (136*2π)/9647 weeks
137108.5069 -253.0048 (137*2π)/9647 weeks
13846.22708 993.9612 (138*2π)/9647 weeks
139-879.5197 -349.4323 (139*2π)/9647 weeks
140633.8356 -184.0331 (140*2π)/9647 weeks
141-67.97238 69.08559 (141*2π)/9647 weeks
142816.3773 223.2272 (142*2π)/9647 weeks
143-528.6455 771.9297 (143*2π)/9647 weeks
144118.5817 -666.3028 (144*2π)/9647 weeks
145528.1923 535.2509 (145*2π)/9647 weeks
146-29.2743 -55.83246 (146*2π)/9647 weeks
147622.9481 363.9193 (147*2π)/9647 weeks
14826.17813 492.6804 (148*2π)/9647 weeks
14947.13802 407.2375 (149*2π)/9646 weeks
150-96.2168 194.9816 (150*2π)/9646 weeks
15163.25651 247.912 (151*2π)/9646 weeks
152-58.31042 175.3962 (152*2π)/9646 weeks
153-66.2088 88.07184 (153*2π)/9646 weeks
154102.3906 -120.8928 (154*2π)/9646 weeks
155388.6639 12.14658 (155*2π)/9646 weeks
156362.4342 428.2397 (156*2π)/9646 weeks
157-45.91969 212.9487 (157*2π)/9646 weeks
158352.3803 318.3159 (158*2π)/9646 weeks
159-269.4591 319.186 (159*2π)/9646 weeks
160297.4821 -65.29671 (160*2π)/9646 weeks
161105.4281 477.3046 (161*2π)/9646 weeks
162-151.3536 214.146 (162*2π)/9646 weeks
163-49.47851 -148.3949 (163*2π)/9646 weeks
164439.5446 154.7829 (164*2π)/9646 weeks
165-100.6193 338.0833 (165*2π)/9646 weeks
1668.43365 -157.4487 (166*2π)/9646 weeks
167616.2599 -1.56714 (167*2π)/9646 weeks
168123.1616 901.9554 (168*2π)/9646 weeks
169-504.124 -158.0493 (169*2π)/9646 weeks
170386.7076 45.06573 (170*2π)/9646 weeks
171-55.71027 -41.84264 (171*2π)/9646 weeks
172511.0552 206.7038 (172*2π)/9646 weeks
173-184.6267 115.434 (173*2π)/9646 weeks
174713.7728 -2.83847 (174*2π)/9646 weeks
175-43.87896 943.1876 (175*2π)/9646 weeks
176-660.5678 -110.7511 (176*2π)/9645 weeks
177244.2087 -645.678 (177*2π)/9645 weeks
178739.5699 69.71328 (178*2π)/9645 weeks
179462.3376 193.1041 (179*2π)/9645 weeks
180648.4895 829.1832 (180*2π)/9645 weeks
181-716.9321 674.4791 (181*2π)/9645 weeks
1826.95086 -359.569 (182*2π)/9645 weeks
18343.45933 150.6496 (183*2π)/9645 weeks
184412.3897 -98.8819 (184*2π)/9645 weeks
185-56.23611 473.6212 (185*2π)/9645 weeks
186280.9429 -371.3296 (186*2π)/9645 weeks
187372.2755 602.8957 (187*2π)/9645 weeks
18844.43553 -4.39539 (188*2π)/9645 weeks
189172.0115 449.3074 (189*2π)/9645 weeks
190121.5206 -109.3192 (190*2π)/9645 weeks
191317.6023 609.8854 (191*2π)/9645 weeks
192-239.4876 126.9704 (192*2π)/9645 weeks
193101.5854 112.8042 (193*2π)/9645 weeks
194223.6475 68.29704 (194*2π)/9645 weeks
195-29.04118 519.2361 (195*2π)/9645 weeks
196-258.2406 -285.0428 (196*2π)/9645 weeks
197637.6155 -19.26692 (197*2π)/9645 weeks
198128.5683 620.535 (198*2π)/9645 weeks
199-211.9281 216.4997 (199*2π)/9645 weeks
200-253.0481 33.32563 (200*2π)/9645 weeks
201135.3093 -474.8892 (201*2π)/9645 weeks
202588.729 230.1611 (202*2π)/9645 weeks
203-24.90694 281.6616 (203*2π)/9645 weeks
20442.01876 -40.82231 (204*2π)/9645 weeks
205389.8472 -36.48623 (205*2π)/9645 weeks
206153.8994 355.5998 (206*2π)/9645 weeks
207244.6576 -147.3494 (207*2π)/9645 weeks
208541.4974 619.2455 (208*2π)/9645 weeks
209-452.092 460.5785 (209*2π)/9645 weeks
210-30.91036 -353.9206 (210*2π)/9645 weeks
211481.0651 170.7757 (211*2π)/9645 weeks
2127.85409 268.7824 (212*2π)/9645 weeks
213196.1599 234.0896 (213*2π)/9645 weeks
214-335.8138 109.1104 (214*2π)/9645 weeks
215541.5081 -413.9505 (215*2π)/9644 weeks
216402.3232 872.3479 (216*2π)/9644 weeks
217-641.5769 126.5771 (217*2π)/9644 weeks
218216.6092 -448.6273 (218*2π)/9644 weeks
219419.8336 203.9717 (219*2π)/9644 weeks
22083.66031 151.1758 (220*2π)/9644 weeks
221214.7484 114.2426 (221*2π)/9644 weeks
222129.9844 145.1975 (222*2π)/9644 weeks
223233.1505 149.7109 (223*2π)/9644 weeks
2243.11595 235.7396 (224*2π)/9644 weeks
225233.0139 -143.7933 (225*2π)/9644 weeks
226419.7003 456.8712 (226*2π)/9644 weeks
227-129.823 328.2715 (227*2π)/9644 weeks
228-51.75826 72.86228 (228*2π)/9644 weeks
229276.1439 -22.13251 (229*2π)/9644 weeks
23057.02138 544.951 (230*2π)/9644 weeks
231-224.3557 -117.967 (231*2π)/9644 weeks
232156.9132 106.2165 (232*2π)/9644 weeks
233147.0553 -210.6954 (233*2π)/9644 weeks
234479.9399 551.9323 (234*2π)/9644 weeks
235-508.0277 186.722 (235*2π)/9644 weeks
236223.6884 -209.2467 (236*2π)/9644 weeks
23761.19656 138.1841 (237*2π)/9644 weeks
238175.3052 27.01411 (238*2π)/9644 weeks
239-59.33992 65.44509 (239*2π)/9644 weeks
240394.7871 -313.9761 (240*2π)/9644 weeks
241584.937 594.809 (241*2π)/9644 weeks
242-377.3262 400.7699 (242*2π)/9644 weeks
243103.7152 -124.8117 (243*2π)/9644 weeks
24457.68039 293.356 (244*2π)/9644 weeks
245-79.16824 68.54638 (245*2π)/9644 weeks
246-113.3909 75.59949 (246*2π)/9644 weeks
247-99.82733 -264.1094 (247*2π)/9644 weeks
248437.53 -223.1614 (248*2π)/9644 weeks
249198.0923 439.3152 (249*2π)/9644 weeks
250-288.9564 -274.4221 (250*2π)/9644 weeks
251722.5659 -158.1113 (251*2π)/9644 weeks
25212.9213 545.1247 (252*2π)/9644 weeks
253-44.04961 -213.7207 (253*2π)/9644 weeks
254245.8479 90.65726 (254*2π)/9644 weeks
25572.48412 -93.16418 (255*2π)/9644 weeks
256382.1992 -42.64088 (256*2π)/9644 weeks
257412.643 258.2883 (257*2π)/9644 weeks
258-101.7937 485.7389 (258*2π)/9644 weeks
259-211.2945 -299.3023 (259*2π)/9644 weeks
260434.1628 -104.1779 (260*2π)/9644 weeks
261321.0434 84.39452 (261*2π)/9644 weeks
262260.9549 493.4991 (262*2π)/9644 weeks
263-470.0096 39.59658 (263*2π)/9644 weeks
264351.6432 -425.0141 (264*2π)/9644 weeks
265289.1453 298.4394 (265*2π)/9644 weeks
266-35.34277 -52.37008 (266*2π)/9644 weeks
267185.626 -73.40366 (267*2π)/9644 weeks
268216.8172 -199.7743 (268*2π)/9644 weeks
269441.6809 32.39928 (269*2π)/9644 weeks
270247.7735 -136.2947 (270*2π)/9644 weeks
271853.0646 136.8907 (271*2π)/9644 weeks
272210.6838 656.9304 (272*2π)/9644 weeks
27334.07738 293.2144 (273*2π)/9644 weeks
274-154.3283 67.51303 (274*2π)/9644 weeks
275418.2037 -212.0566 (275*2π)/9644 weeks
276382.2006 396.8198 (276*2π)/9643 weeks
277121.6295 229.1358 (277*2π)/9643 weeks
27864.72928 234.5226 (278*2π)/9643 weeks
279197.28 -113.9868 (279*2π)/9643 weeks
280577.9845 479.1485 (280*2π)/9643 weeks
281-345.93 513.0209 (281*2π)/9643 weeks
2821.11761 -179.0255 (282*2π)/9643 weeks
283170.9866 73.83553 (283*2π)/9643 weeks
284344.8193 117.1581 (284*2π)/9643 weeks
285-5.25505 438.8644 (285*2π)/9643 weeks
286-101.0102 -81.43345 (286*2π)/9643 weeks
287253.5595 -34.47811 (287*2π)/9643 weeks
288321.2834 156.0829 (288*2π)/9643 weeks
289151.08 291.0081 (289*2π)/9643 weeks
290109.9036 268.9432 (290*2π)/9643 weeks
291-175.595 149.5469 (291*2π)/9643 weeks
292305.8855 -161.4387 (292*2π)/9643 weeks
293193.6553 510.6315 (293*2π)/9643 weeks
294-168.2979 49.89482 (294*2π)/9643 weeks
29595.44691 113.6654 (295*2π)/9643 weeks
29639.62676 -23.30786 (296*2π)/9643 weeks
297114.7723 205.1734 (297*2π)/9643 weeks
298-36.36859 -187.2937 (298*2π)/9643 weeks
299490.1363 178.9892 (299*2π)/9643 weeks
300-135.6669 211.7622 (300*2π)/9643 weeks
301313.144 30.96124 (301*2π)/9643 weeks
302-122.8448 334.0561 (302*2π)/9643 weeks
303-22.80103 -149.0502 (303*2π)/9643 weeks
30494.0508 -138.1161 (304*2π)/9643 weeks
305583.1406 -96.8606 (305*2π)/9643 weeks
306239.1767 530.4034 (306*2π)/9643 weeks
307118.9892 123.928 (307*2π)/9643 weeks
30816.86367 565.1521 (308*2π)/9643 weeks
309-399.7815 -153.5186 (309*2π)/9643 weeks
310377.7599 -72.5421 (310*2π)/9643 weeks
31125.26119 166.642 (311*2π)/9643 weeks
312243.1749 157.4019 (312*2π)/9643 weeks
313-183.3705 208.6055 (313*2π)/9643 weeks
314113.5375 -12.89119 (314*2π)/9643 weeks
315-225.3081 27.60789 (315*2π)/9643 weeks
316331.0328 -329.4423 (316*2π)/9643 weeks
317227.3208 234.7415 (317*2π)/9643 weeks
318158.5123 54.36079 (318*2π)/9643 weeks
31945.60144 34.92225 (319*2π)/9643 weeks
320487.6586 134.2305 (320*2π)/9643 weeks
321-330.3844 517.0408 (321*2π)/9643 weeks
322-45.47744 -524.7254 (322*2π)/9643 weeks
323478.7908 92.4759 (323*2π)/9643 weeks
324178.1068 182.7277 (324*2π)/9643 weeks
32572.16957 130.7284 (325*2π)/9643 weeks
326313.374 74.39484 (326*2π)/9643 weeks
327-20.54362 466.8203 (327*2π)/9643 weeks
328-122.9378 -189.6879 (328*2π)/9643 weeks
329411.0717 208.4684 (329*2π)/9643 weeks
330-262.3623 310.6412 (330*2π)/9643 weeks
33126.73891 -271.7442 (331*2π)/9643 weeks
332313.5197 167.6204 (332*2π)/9643 weeks
333-27.24527 224.6901 (333*2π)/9643 weeks
334-72.03523 102.088 (334*2π)/9643 weeks
335-155.0671 -55.44895 (335*2π)/9643 weeks
336104.5426 -257.6804 (336*2π)/9643 weeks
337222.461 27.47471 (337*2π)/9643 weeks
33881.79865 -112.1574 (338*2π)/9643 weeks
339342.9639 -49.60614 (339*2π)/9643 weeks
340366.2087 145.5703 (340*2π)/9643 weeks
34163.82602 490.6729 (341*2π)/9643 weeks
342-350.6459 -118.0665 (342*2π)/9643 weeks
343341.8478 -273.099 (343*2π)/9643 weeks
344298.2561 202.1536 (344*2π)/9643 weeks
34552.57927 105.2889 (345*2π)/9643 weeks
346200.3305 84.60431 (346*2π)/9643 weeks
347-7.35821 129.2461 (347*2π)/9643 weeks
348152.2849 30.73632 (348*2π)/9643 weeks
349-96.67886 -42.46758 (349*2π)/9643 weeks
350561.6875 -126.9815 (350*2π)/9643 weeks
351-55.01667 524.416 (351*2π)/9643 weeks
352108.3985 -346.4425 (352*2π)/9643 weeks
353438.7904 472.8138 (353*2π)/9643 weeks
354-278.8841 272.4085 (354*2π)/9643 weeks
355-104.4974 -36.87399 (355*2π)/9643 weeks
356-38.57325 -96.57019 (356*2π)/9643 weeks
357112.168 -154.2118 (357*2π)/9643 weeks
358181.1346 71.03646 (358*2π)/9643 weeks
359-173.7254 -175.2266 (359*2π)/9643 weeks
360634.3741 -447.2476 (360*2π)/9643 weeks
361468.9706 654.1742 (361*2π)/9643 weeks
362-323.9174 56.8769 (362*2π)/9643 weeks
363231.2083 -181.084 (363*2π)/9643 weeks
364278.3594 -57.53757 (364*2π)/9643 weeks
365419.2237 190.9703 (365*2π)/9643 weeks
366151.641 160.6384 (366*2π)/9643 weeks
367406.274 354.1562 (367*2π)/9643 weeks
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9451,400.071 -1,149.