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# Fourier Analysis of APOL (Apollo Education Group Inc)

APOL (Apollo Education Group Inc) appears to have interesting cyclic behaviour every 4 weeks (.1791*cosine), 3 weeks (.1618*sine), and 4 weeks (.152*cosine).

APOL (Apollo Education Group Inc) has an average price of 8.74 (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 1/4/2016 to 2/6/2017 for APOL (Apollo Education Group Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.73898   0
1-.04503 -.30492 (1*2π)/5454 weeks
2.20402 -.71328 (2*2π)/5427 weeks
3-.32353 -.20858 (3*2π)/5418 weeks
4-.3311 -.06033 (4*2π)/5414 weeks
5-.01229 -.37088 (5*2π)/5411 weeks
6-.02634 -.14977 (6*2π)/549 weeks
7-.07999 .00443 (7*2π)/548 weeks
8-.11495 -.20084 (8*2π)/547 weeks
9-.03157 -.1275 (9*2π)/546 weeks
10-.00774 .04341 (10*2π)/545 weeks
11-.13414 -.0269 (11*2π)/545 weeks
12-.12352 -.08611 (12*2π)/545 weeks
13-.0663 -.01388 (13*2π)/544 weeks
14-.17912 .00827 (14*2π)/544 weeks
15-.15199 -.07043 (15*2π)/544 weeks
16-.0458 -.16185 (16*2π)/543 weeks
17-.10006 -.10324 (17*2π)/543 weeks
18-.11565 -.05854 (18*2π)/543 weeks
19.0012 -.0772 (19*2π)/543 weeks
20.06146 -.02572 (20*2π)/543 weeks
21-.04948 .01017 (21*2π)/543 weeks
22-.09156 .02216 (22*2π)/542 weeks
23-.02845 .01317 (23*2π)/542 weeks
24-.09514 .04537 (24*2π)/542 weeks
25-.13827 .04229 (25*2π)/542 weeks
26-.09853 -.03334 (26*2π)/542 weeks
27-.05019   (27*2π)/542 weeks
28-.09853 .03334 (28*2π)/542 weeks
29-.13827 -.04229 (29*2π)/542 weeks
30-.09514 -.04537 (30*2π)/542 weeks
31-.02845 -.01317 (31*2π)/542 weeks
32-.09156 -.02216 (32*2π)/542 weeks
33-.04948 -.01017 (33*2π)/542 weeks
34.06146 .02572 (34*2π)/542 weeks
35.0012 .0772 (35*2π)/542 weeks
36-.11565 .05854 (36*2π)/542 weeks
37-.10006 .10324 (37*2π)/541 weeks
38-.0458 .16185 (38*2π)/541 weeks
39-.15199 .07043 (39*2π)/541 weeks
40-.17912 -.00827 (40*2π)/541 weeks
41-.0663 .01388 (41*2π)/541 weeks
42-.12352 .08611 (42*2π)/541 weeks
43-.13414 .0269 (43*2π)/541 weeks
44-.00774 -.04341 (44*2π)/541 weeks
45-.03157 .1275 (45*2π)/541 weeks
46-.11495 .20084 (46*2π)/541 weeks
47-.07999 -.00443 (47*2π)/541 weeks
48-.02634 .14977 (48*2π)/541 weeks
49-.01229 .37088 (49*2π)/541 weeks
50-.3311 .06033 (50*2π)/541 weeks
51-.32353 .20858 (51*2π)/541 weeks
52.20402 .71328 (52*2π)/541 weeks