Question: From September 20, 2022 to October 06, 2022, what proportion of days had the 5, 10, 20-day Exponential Moving Average lines of Welltower in short alignment? (Unit: %) (Smoothing factor alpha = 2 / (n + 1); Require 4n data points to warm up; Use the first data point as the initial value) Using unadjusted prices, write down the indicator formula, collect the raw data, calculate the answer, and keep four decimal places. Please list the raw data and key calculation process.
Formula: EMA_t = \alpha * P_t + (1 - \alpha) * EMA_{t-1}, \quad \alpha = 2 / (n + 1)
Data:
date,close,high,open
2022-05-25,88.94999694824219,89.25,88.12000274658203
2022-05-26,88.58000183105469,90.18000030517578,89.72000122070312
2022-05-27,90.16999816894533,90.3499984741211,88.94000244140625
2022-05-31,89.08999633789062,89.68000030517578,89.25
2022-06-01,88.16000366210938,89.1500015258789,88.94999694824219
2022-06-02,88.87000274658203,88.95999908447266,87.87999725341797
2022-06-03,88.0,88.94999694824219,88.62000274658203
2022-06-06,87.13999938964844,88.70999908447266,88.70999908447266
2022-06-07,89.30000305175781,89.44999694824219,86.91000366210938
2022-06-08,85.9800033569336,89.08999633789062,88.93000030517578
2022-06-09,83.2300033569336,85.8499984741211,85.2699966430664
2022-06-10,82.06999969482422,83.2300033569336,82.41000366210938
2022-06-13,77.8499984741211,80.83000183105469,80.26000213623047
2022-06-14,77.44999694824219,78.61000061035156,77.80000305175781
2022-06-15,78.44999694824219,79.4800033569336,78.20999908447266
2022-06-16,77.69999694824219,78.86000061035156,77.41000366210938
2022-06-17,77.6500015258789,79.12999725341797,77.41999816894531
2022-06-21,78.68000030517578,80.55000305175781,78.05999755859375
2022-06-22,79.7699966430664,80.95999908447266,78.12999725341797
2022-06-23,81.70999908447266,82.08000183105469,80.25
2022-06-24,83.36000061035156,83.86000061035156,82.06999969482422
2022-06-27,83.16999816894531,84.66999816894531,83.11000061035156
2022-06-28,82.87999725341797,84.76000213623047,83.77999877929688
2022-06-29,83.2300033569336,83.69000244140625,82.68000030517578
2022-06-30,82.3499984741211,83.48999786376953,82.8499984741211
2022-07-01,83.20999908447266,83.41000366210938,81.94000244140625
2022-07-05,82.36000061035156,82.8499984741211,82.7300033569336
2022-07-06,81.66999816894531,83.45999908447266,82.7300033569336
2022-07-07,81.72000122070312,82.45999908447266,81.55999755859375
2022-07-08,82.11000061035156,82.73999786376953,81.75
2022-07-11,82.11000061035156,82.5999984741211,82.0199966430664
2022-07-12,82.44000244140625,83.5199966430664,81.66999816894531
2022-07-13,81.91000366210938,82.19999694824219,81.54000091552734
2022-07-14,80.0999984741211,81.66000366210938,80.5
2022-07-15,81.22000122070312,81.4800033569336,81.19000244140625
2022-07-18,80.79000091552734,81.83000183105469,81.4800033569336
2022-07-19,82.12999725341797,82.30999755859375,81.18000030517578
2022-07-20,81.38999938964844,82.5999984741211,82.02999877929688
2022-07-21,81.33000183105469,81.33999633789062,81.05000305175781
2022-07-22,82.83000183105469,83.19999694824219,82.27999877929688
2022-07-25,84.12000274658203,84.19000244140625,82.55000305175781
2022-07-26,84.91999816894531,85.31999969482422,84.58999633789062
2022-07-27,84.52999877929688,85.62000274658203,84.68000030517578
2022-07-28,85.9800033569336,86.04000091552734,85.02999877929688
2022-07-29,86.33999633789062,86.83000183105469,86.0
2022-08-01,85.9800033569336,86.70999908447266,86.16000366210938
2022-08-02,83.66999816894531,86.33000183105469,85.83000183105469
2022-08-03,82.41000366210938,84.58000183105469,83.87000274658203
2022-08-04,81.0,82.5,82.5
2022-08-05,80.68000030517578,80.9800033569336,80.5
2022-08-08,81.5999984741211,82.41000366210938,81.6500015258789
2022-08-09,82.66000366210938,82.80000305175781,81.73999786376953
2022-08-10,83.30999755859375,83.48999786376953,82.55000305175781
2022-08-11,81.2300033569336,83.19000244140625,82.75
2022-08-12,82.69000244140625,82.79000091552734,81.9800033569336
2022-08-15,81.69000244140625,82.87999725341797,82.66999816894531
2022-08-16,80.66000366210938,81.58000183105469,81.5
2022-08-17,81.56999969482422,81.87999725341797,80.16000366210938
2022-08-18,80.0,81.9800033569336,81.58000183105469
2022-08-19,79.58000183105469,80.18000030517578,79.83999633789062
2022-08-22,79.13999938964844,79.41000366210938,78.77999877929688
2022-08-23,77.1500015258789,79.11000061035156,78.87999725341797
2022-08-24,77.51000213623047,78.19000244140625,76.97000122070312
2022-08-25,78.83999633789062,78.87000274658203,77.94000244140625
2022-08-26,77.33000183105469,78.9800033569336,78.9800033569336
2022-08-29,76.9000015258789,77.66999816894531,77.05999755859375
2022-08-30,76.11000061035156,77.51000213623047,76.94999694824219
2022-08-31,76.6500015258789,77.62000274658203,76.86000061035156
2022-09-01,76.58000183105469,76.62000274658203,76.2300033569336
2022-09-02,75.83000183105469,77.56999969482422,77.12000274658203
2022-09-06,76.27999877929688,77.0,76.43000030517578
2022-09-07,77.66999816894531,77.80999755859375,76.23999786376953
2022-09-08,76.37000274658203,78.19999694824219,77.2699966430664
2022-09-09,77.58999633789062,77.6500015258789,76.68000030517578
2022-09-12,78.26000213623047,79.27999877929688,78.05000305175781
2022-09-13,75.20999908447266,77.33999633789062,77.0
2022-09-14,73.9800033569336,75.18000030517578,74.61000061035156
2022-09-15,72.73999786376953,74.2300033569336,73.88999938964844
2022-09-16,72.81999969482422,72.95999908447266,72.55999755859375
2022-09-19,71.23999786376953,72.9800033569336,71.9800033569336
2022-09-20,69.55999755859375,70.68000030517578,70.37999725341797
2022-09-21,68.98999786376953,70.87000274658203,70.04000091552734
2022-09-22,68.25,68.83000183105469,68.70999908447266
2022-09-23,66.70999908447266,68.56999969482422,67.37000274658203
2022-09-26,65.7699966430664,66.47000122070312,66.41000366210938
2022-09-27,64.30999755859375,66.80000305175781,66.38999938964844
2022-09-28,65.41999816894531,65.93000030517578,64.9800033569336
2022-09-29,63.33000183105469,64.95999908447266,64.62999725341797
2022-09-30,64.31999969482422,64.66999816894531,63.70000076293945
2022-10-03,65.37999725341797,65.87000274658203,65.0999984741211
2022-10-04,64.37999725341797,66.33000183105469,65.36000061035156
2022-10-05,62.31999969482422,63.59000015258789,63.4900016784668
2022-10-06,59.7599983215332,62.18000030517578,61.97999954223633

Indicator data:
date,5-day,10-day,20-day
2022-06-23,79.94293407101091,80.6221288030605,82.7365608703476
2022-06-24,81.08195625079114,81.11992367711343,82.79593608368131
2022-06-27,81.7779702235092,81.49266449381014,82.83156104418265
2022-06-28,82.14531256681212,81.74490681373884,82.83617401649077
2022-06-29,82.50687616351928,82.01492436704697,82.87368157272343
2022-06-30,82.45458360038656,82.07584693196954,82.82380699190415
2022-07-01,82.7063887617486,82.28205641424283,82.86058719119639
2022-07-05,82.59092604461625,82.2962280862626,82.81291227873498
2022-07-06,82.28395008605928,82.18236810129582,82.70406331589787
2022-07-07,82.09596713094056,82.09830139573351,82.61034311635551
2022-07-08,82.1006449574109,82.10042852566407,82.56269144911704
2022-07-11,82.10376350839113,82.10216890469816,82.51957803590128
2022-07-12,82.2158431527295,82.16359318409962,82.51199940785413
2022-07-13,82.11389665585614,82.11748599828321,82.45466647968796
2022-07-14,81.44259726194446,81.7506700847992,82.23041238391968
2022-07-15,81.36839858153068,81.65418483678172,82.13418274932764
2022-07-18,81.17559935952957,81.49706048746273,82.00616543182285
2022-07-19,81.49373199082571,81.61213989945459,82.01795893864143
2022-07-20,81.45915445709996,81.57175071585347,81.95815326730877
2022-07-21,81.41610358175154,81.52779637316279,81.89832932099885
2022-07-22,81.88740299818593,81.76456100187039,81.98706003624226
2022-07-25,82.63160291431797,82.1928231372725,82.190197437227
2022-07-26,83.39440133252708,82.6886731430312,82.4501784592954
2022-07-27,83.77293381478368,83.02345962235222,82.64825658500983
2022-07-28,84.508623662167,83.56101302863974,82.96556580138352
2022-07-29,85.11908122074155,84.0662827212308,83.28694013819371
2022-08-01,85.4060552661389,84.41423192772223,83.54342234950226
2022-08-02,84.82736956707438,84.27891669885369,83.55547718944922
2022-08-03,84.02158093208605,83.93911432853655,83.44638447255971
2022-08-04,83.01438728805738,83.40472990516626,83.21339547517307
2022-08-05,82.23625829376351,82.90932452334981,82.97211974469714
2022-08-08,82.02417168721604,82.67126524167186,82.8414415284518
2022-08-09,82.23611567884716,82.6692176817514,82.82416173165727
2022-08-10,82.59407630542935,82.78572311390455,82.87043181041312
2022-08-11,82.13938532259743,82.50286497627346,82.71420052912936
2022-08-12,82.32292436220038,82.53688996993397,82.71189594934621
2022-08-15,82.11195038860234,82.38291041929256,82.61457275811384
2022-08-16,81.62796814643802,82.06965464525925,82.42842332039912
2022-08-17,81.60864532923343,81.9788082906347,82.34666868939199
2022-08-18,81.07243021948895,81.61902496506475,82.12317643325942
2022-08-19,80.57495409001086,81.24829348615383,81.88096932828753
2022-08-22,80.09663585655673,80.86496728678921,81.61992457222667
2022-08-23,79.11442441299747,80.1895189666237,81.19421761543165
2022-08-24,78.57961698740847,79.70233408837038,80.84333995074581
2022-08-25,78.66641010423587,79.54554540646497,80.65254532095008
2022-08-26,78.22094067984214,79.1427193018449,80.33611260762672
2022-08-29,77.78062762852107,78.73495243348745,80.00886393317454
2022-08-30,77.22375195579791,78.25768846564455,79.6375436167152
2022-08-31,77.03250181249157,77.96538174932353,79.35301579854033
2022-09-01,76.88166848534595,77.71349449145646,79.08891923020836
2022-09-02,76.53111293391554,77.37104128047432,78.77854614457468
2022-09-06,76.44740821570932,77.17266991662387,78.54058925264346
2022-09-07,76.85493820012132,77.26309323522777,78.45767581610077
2022-09-08,76.69329304894157,77.10071314638309,78.25884980947994
2022-09-09,76.99219414525793,77.18967372665718,78.19514947885239
2022-09-12,77.41479680891544,77.38427889203413,78.20132592241221
2022-09-13,76.67986423410119,76.9889552906593,77.91643765213226
2022-09-14,75.77991060837866,76.44187312089099,77.54153914782762
2022-09-15,74.76660636017562,75.76880489232344,77.08424950172684
2022-09-16,74.11773747172515,75.23265849277813,76.67813047249803
2022-09-19,73.15849093573995,74.50672019659474,76.16021308119055
2022-09-20,71.95899314335789,73.60731608059456,75.53162112665751
2022-09-21,70.96932805016178,72.76780367753545,74.90860938733485
2022-09-22,70.06288536677452,71.94638482707445,74.27445611235058
2022-09-23,68.94525660600723,70.99431469205594,73.55403163350506
2022-09-26,67.88683661836029,70.04443868314874,72.812694967749
2022-09-27,66.69455693177144,69.00181302413874,72.00291426211515
2022-09-28,66.2697040108294,68.3505739595581,71.37596987228945
2022-09-29,65.28980328423783,67.43774266346657,70.60968720169566
2022-09-30,64.96653542109996,66.87088030553159,70.01066934389839
2022-10-03,65.10435603187264,66.59981065969274,69.56965295432882
2022-10-04,64.86290310572109,66.19620822218823,69.07540003043255
2022-10-05,64.01526863542213,65.49144303539478,68.43202856989842
2022-10-06,62.59684519745916,64.44936217832904,67.60612092719697

Answer: 71.6216