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Fourier Analysis of Z (Zillow Group, Inc.)


Z (Zillow Group, Inc.) appears to have interesting cyclic behaviour every 7 weeks (.4201*sine), 9 weeks (.4097*sine), and 7 weeks (.3687*cosine).

Z (Zillow Group, Inc.) has an average price of 29.82 (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 8/3/2015 to 3/13/2017 for Z (Zillow Group, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
029.81577   0 
11.15613 -7.39336 (1*2π)/8585 weeks
21.13116 1.27079 (2*2π)/8543 weeks
3-1.51165 -1.84515 (3*2π)/8528 weeks
4-1.12664 .03618 (4*2π)/8521 weeks
5.08057 -.90834 (5*2π)/8517 weeks
6-.53928 -.39977 (6*2π)/8514 weeks
7-.09995 -1.06761 (7*2π)/8512 weeks
8.45019 -1.01098 (8*2π)/8511 weeks
9.35461 .18108 (9*2π)/859 weeks
10.06997 -.40974 (10*2π)/859 weeks
11-.00955 -.32482 (11*2π)/858 weeks
12-.36875 .11381 (12*2π)/857 weeks
13-.07775 -.42013 (13*2π)/857 weeks
14-.17662 -.40421 (14*2π)/856 weeks
15.01804 -.40931 (15*2π)/856 weeks
16-.24892 -.19777 (16*2π)/855 weeks
17.28107 -.01166 (17*2π)/855 weeks
18.05235 .07494 (18*2π)/855 weeks
19-.1642 -.03153 (19*2π)/854 weeks
20-.02226 -.37149 (20*2π)/854 weeks
21-.19101 -.14805 (21*2π)/854 weeks
22-.35302 .0838 (22*2π)/854 weeks
23-.01594 -.07273 (23*2π)/854 weeks
24-.23304 -.31151 (24*2π)/854 weeks
25-.05463 -.3141 (25*2π)/853 weeks
26-.16024 -.24206 (26*2π)/853 weeks
27.03748 -.35372 (27*2π)/853 weeks
28.07799 .04157 (28*2π)/853 weeks
29-.21812 .12282 (29*2π)/853 weeks
30.09909 -.05405 (30*2π)/853 weeks
31-.22172 .12324 (31*2π)/853 weeks
32-.34866 .01499 (32*2π)/853 weeks
33-.2549 .02687 (33*2π)/853 weeks
34-.07565 -.14977 (34*2π)/853 weeks
35.04335 -.04172 (35*2π)/852 weeks
36-.17129 -.35423 (36*2π)/852 weeks
37-.06979 -.07446 (37*2π)/852 weeks
38-.02421 .03694 (38*2π)/852 weeks
39.05348 -.05073 (39*2π)/852 weeks
40.00811 .07985 (40*2π)/852 weeks
41-.16696 .13676 (41*2π)/852 weeks
42-.3246 .09877 (42*2π)/852 weeks
43-.3246 -.09877 (43*2π)/852 weeks
44-.16696 -.13676 (44*2π)/852 weeks
45.00811 -.07985 (45*2π)/852 weeks
46.05348 .05073 (46*2π)/852 weeks
47-.02421 -.03694 (47*2π)/852 weeks
48-.06979 .07446 (48*2π)/852 weeks
49-.17129 .35423 (49*2π)/852 weeks
50.04335 .04172 (50*2π)/852 weeks
51-.07565 .14977 (51*2π)/852 weeks
52-.2549 -.02687 (52*2π)/852 weeks
53-.34866 -.01499 (53*2π)/852 weeks
54-.22172 -.12324 (54*2π)/852 weeks
55.09909 .05405 (55*2π)/852 weeks
56-.21812 -.12282 (56*2π)/852 weeks
57.07799 -.04157 (57*2π)/851 weeks
58.03748 .35372 (58*2π)/851 weeks
59-.16024 .24206 (59*2π)/851 weeks
60-.05463 .3141 (60*2π)/851 weeks
61-.23304 .31151 (61*2π)/851 weeks
62-.01594 .07273 (62*2π)/851 weeks
63-.35302 -.0838 (63*2π)/851 weeks
64-.19101 .14805 (64*2π)/851 weeks
65-.02226 .37149 (65*2π)/851 weeks
66-.1642 .03153 (66*2π)/851 weeks
67.05235 -.07494 (67*2π)/851 weeks
68.28107 .01166 (68*2π)/851 weeks
69-.24892 .19777 (69*2π)/851 weeks
70.01804 .40931 (70*2π)/851 weeks
71-.17662 .40421 (71*2π)/851 weeks
72-.07775 .42013 (72*2π)/851 weeks
73-.36875 -.11381 (73*2π)/851 weeks
74-.00955 .32482 (74*2π)/851 weeks
75.06997 .40974 (75*2π)/851 weeks
76.35461 -.18108 (76*2π)/851 weeks
77.45019 1.01098 (77*2π)/851 weeks
78-.09995 1.06761 (78*2π)/851 weeks
79-.53928 .39977 (79*2π)/851 weeks
80.08057 .90834 (80*2π)/851 weeks
81-1.12664 -.03618 (81*2π)/851 weeks
82-1.51165 1.84515 (82*2π)/851 weeks
831.13116 -1.27079 (83*2π)/851 weeks

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