Question: For AT&T between February 22, 2025 and June 29, 2025, how many times did the price break below the 20-day Triple Exponential Moving Average line? (Smoothing factor alpha = 2 / (n + 1); Require 6n 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: TEMA = 3 * EMA1 - 3 * EMA2 + EMA3; EMA1 = EMA_n(P); EMA2 = EMA_n(EMA1); EMA3 = EMA_n(EMA2)
Data:
date,close,open
2024-08-29,19.76000022888184,19.799999237060547
2024-08-30,19.899999618530277,19.76000022888184
2024-09-03,20.43000030517578,19.93000030517578
2024-09-04,20.56999969482422,20.489999771118164
2024-09-05,20.649999618530277,20.709999084472656
2024-09-06,20.96999931335449,20.649999618530277
2024-09-09,21.5,20.959999084472656
2024-09-10,21.709999084472656,21.450000762939453
2024-09-11,21.450000762939453,21.6200008392334
2024-09-12,21.59000015258789,21.32999992370605
2024-09-13,21.63999938964844,21.56999969482422
2024-09-16,22.270000457763672,21.84000015258789
2024-09-17,21.780000686645508,22.06999969482422
2024-09-18,21.729999542236328,21.84000015258789
2024-09-19,21.36000061035156,21.649999618530277
2024-09-20,21.540000915527344,21.299999237060547
2024-09-23,21.489999771118164,21.540000915527344
2024-09-24,21.59000015258789,21.3799991607666
2024-09-25,21.559999465942383,21.6200008392334
2024-09-26,21.649999618530277,21.489999771118164
2024-09-27,21.899999618530277,21.71999931335449
2024-09-30,22.0,22.0
2024-10-01,22.1299991607666,21.93000030517578
2024-10-02,22.190000534057617,22.049999237060547
2024-10-03,22.049999237060547,22.1299991607666
2024-10-04,21.90999984741211,21.700000762939453
2024-10-07,21.780000686645508,21.90999984741211
2024-10-08,21.86000061035156,21.920000076293945
2024-10-09,21.93000030517578,21.8700008392334
2024-10-10,21.21999931335449,21.600000381469727
2024-10-11,21.3700008392334,21.299999237060547
2024-10-14,21.26000022888184,21.36000061035156
2024-10-15,21.51000022888184,21.38999938964844
2024-10-16,21.709999084472656,21.520000457763672
2024-10-17,21.729999542236328,21.559999465942383
2024-10-18,21.850000381469727,21.729999542236328
2024-10-21,21.65999984741211,21.8799991607666
2024-10-22,21.5,21.25
2024-10-23,22.489999771118164,21.239999771118164
2024-10-24,22.200000762939453,22.399999618530277
2024-10-25,21.82999992370605,22.299999237060547
2024-10-28,22.11000061035156,21.920000076293945
2024-10-29,22.18000030517578,21.989999771118164
2024-10-30,22.020000457763672,22.1299991607666
2024-10-31,22.540000915527344,22.059999465942383
2024-11-01,22.1200008392334,22.530000686645508
2024-11-04,21.920000076293945,22.13999938964844
2024-11-05,22.049999237060547,21.899999618530277
2024-11-06,22.31999969482422,22.11000061035156
2024-11-07,22.040000915527344,22.38999938964844
2024-11-08,22.34000015258789,22.049999237060547
2024-11-11,22.309999465942383,22.280000686645508
2024-11-12,22.149999618530277,22.209999084472656
2024-11-13,22.299999237060547,22.170000076293945
2024-11-14,22.25,22.299999237060547
2024-11-15,22.68000030517578,22.239999771118164
2024-11-18,22.989999771118164,22.790000915527344
2024-11-19,22.729999542236328,22.8799991607666
2024-11-20,22.82999992370605,22.799999237060547
2024-11-21,22.979999542236328,22.799999237060547
2024-11-22,23.18000030517578,23.049999237060547
2024-11-25,23.100000381469727,23.149999618530277
2024-11-26,23.09000015258789,22.940000534057617
2024-11-27,23.270000457763672,23.200000762939453
2024-11-29,23.15999984741211,23.270000457763672
2024-12-02,22.700000762939453,23.149999618530277
2024-12-03,23.739999771118164,23.40999984741211
2024-12-04,23.530000686645508,23.670000076293945
2024-12-05,23.82999992370605,23.61000061035156
2024-12-06,23.8799991607666,23.82999992370605
2024-12-09,23.3700008392334,23.899999618530277
2024-12-10,23.51000022888184,23.40999984741211
2024-12-11,23.479999542236328,23.43000030517578
2024-12-12,23.36000061035156,23.57999992370605
2024-12-13,23.6299991607666,23.3700008392334
2024-12-16,22.84000015258789,23.709999084472656
2024-12-17,22.82999992370605,22.799999237060547
2024-12-18,22.479999542236328,22.799999237060547
2024-12-19,22.56999969482422,22.51000022888184
2024-12-20,22.75,22.59000015258789
2024-12-23,22.84000015258789,22.670000076293945
2024-12-24,22.950000762939453,22.84000015258789
2024-12-26,22.959999084472656,22.93000030517578
2024-12-27,22.86000061035156,22.8799991607666
2024-12-30,22.61000061035156,22.780000686645508
2024-12-31,22.770000457763672,22.6200008392334
2025-01-02,22.82999992370605,22.82999992370605
2025-01-03,22.670000076293945,22.899999618530277
2025-01-06,22.600000381469727,22.76000022888184
2025-01-07,22.200000762939453,22.540000915527344
2025-01-08,22.18000030517578,22.1299991607666
2025-01-10,21.690000534057617,21.8799991607666
2025-01-13,21.559999465942383,21.6299991607666
2025-01-14,21.799999237060547,21.520000457763672
2025-01-15,21.90999984741211,21.979999542236328
2025-01-16,22.020000457763672,22.0
2025-01-17,22.290000915527344,22.09000015258789
2025-01-21,22.489999771118164,22.209999084472656
2025-01-22,22.31999969482422,22.3799991607666
2025-01-23,22.530000686645508,22.34000015258789
2025-01-24,22.71999931335449,22.549999237060547
2025-01-27,24.13999938964844,23.5
2025-01-28,24.399999618530277,24.059999465942383
2025-01-29,24.229999542236328,24.709999084472656
2025-01-30,24.020000457763672,24.170000076293945
2025-01-31,23.729999542236328,24.01000022888184
2025-02-03,24.25,23.690000534057617
2025-02-04,24.25,24.209999084472656
2025-02-05,24.46999931335449,24.459999084472656
2025-02-06,24.450000762939453,24.5
2025-02-07,24.540000915527344,24.450000762939453
2025-02-10,24.86000061035156,24.61000061035156
2025-02-11,25.149999618530277,24.899999618530277
2025-02-12,25.36000061035156,25.149999618530277
2025-02-13,25.6299991607666,25.46999931335449
2025-02-14,25.8700008392334,25.670000076293945
2025-02-18,26.06999969482422,25.709999084472656
2025-02-19,26.239999771118164,26.21999931335449
2025-02-20,26.149999618530277,26.200000762939453
2025-02-21,26.6200008392334,26.07999992370605
2025-02-24,26.739999771118164,26.6200008392334
2025-02-25,26.649999618530277,26.8700008392334
2025-02-26,26.56999969482422,26.559999465942383
2025-02-27,26.899999618530277,26.63999938964844
2025-02-28,27.40999984741211,27.0
2025-03-03,27.71999931335449,27.270000457763672
2025-03-04,26.21999931335449,27.799999237060547
2025-03-05,26.18000030517578,26.06999969482422
2025-03-06,26.729999542236328,26.21999931335449
2025-03-07,27.1200008392334,26.670000076293945
2025-03-10,27.280000686645508,27.11000061035156
2025-03-11,26.01000022888184,26.46999931335449
2025-03-12,25.71999931335449,25.6299991607666
2025-03-13,26.09000015258789,25.790000915527344
2025-03-14,26.57999992370605,25.799999237060547
2025-03-17,26.82999992370605,26.56999969482422
2025-03-18,26.61000061035156,26.799999237060547
2025-03-19,26.84000015258789,26.649999618530277
2025-03-20,26.790000915527344,26.899999618530277
2025-03-21,27.020000457763672,26.809999465942383
2025-03-24,26.959999084472656,26.86000061035156
2025-03-25,27.309999465942383,26.96999931335449
2025-03-26,27.649999618530277,27.40999984741211
2025-03-27,28.200000762939453,27.770000457763672
2025-03-28,28.18000030517578,28.350000381469727
2025-03-31,28.280000686645508,28.26000022888184
2025-04-01,28.479999542236328,28.399999618530277
2025-04-02,28.13999938964844,28.40999984741211
2025-04-03,28.600000381469727,28.540000915527344
2025-04-04,26.63999938964844,28.0
2025-04-07,26.82999992370605,25.18000030517578
2025-04-08,26.38999938964844,27.020000457763672
2025-04-09,26.46999931335449,26.09000015258789
2025-04-10,26.38999938964844,26.239999771118164
2025-04-11,26.790000915527344,26.57999992370605
2025-04-14,27.200000762939453,26.6299991607666
2025-04-15,27.5,27.5
2025-04-16,27.020000457763672,27.739999771118164
2025-04-17,27.149999618530277,27.18000030517578
2025-04-21,26.32999992370605,27.15999984741211
2025-04-22,26.959999084472656,26.0
2025-04-23,27.190000534057617,26.540000915527344
2025-04-24,27.530000686645508,27.170000076293945
2025-04-25,26.809999465942383,27.459999084472656
2025-04-28,27.26000022888184,26.899999618530277
2025-04-29,27.299999237060547,27.100000381469727
2025-04-30,27.700000762939453,27.600000381469727
2025-05-01,27.63999938964844,27.5
2025-05-02,27.61000061035156,27.600000381469727
2025-05-05,27.51000022888184,27.559999465942383
2025-05-06,28.15999984741211,27.540000915527344
2025-05-07,28.100000381469727,28.040000915527344
2025-05-08,27.46999931335449,28.0
2025-05-09,27.84000015258789,27.559999465942383
2025-05-12,27.01000022888184,27.09000015258789
2025-05-13,26.450000762939453,27.049999237060547
2025-05-14,26.440000534057617,26.43000030517578
2025-05-15,27.32999992370605,26.600000381469727
2025-05-16,27.71999931335449,27.3700008392334
2025-05-19,28.020000457763672,27.76000022888184
2025-05-20,27.780000686645508,28.049999237060547
2025-05-21,27.46999931335449,27.68000030517578
2025-05-22,27.229999542236328,27.57999992370605
2025-05-23,27.420000076293945,27.479999542236328
2025-05-27,27.38999938964844,27.36000061035156
2025-05-28,27.5,27.3799991607666
2025-05-29,27.3799991607666,27.479999542236328
2025-05-30,27.799999237060547,27.38999938964844
2025-06-02,27.93000030517578,27.649999618530277
2025-06-03,27.959999084472656,27.88999938964844
2025-06-04,27.36000061035156,27.959999084472656
2025-06-05,27.76000022888184,27.43000030517578
2025-06-06,28.07999992370605,27.770000457763672
2025-06-09,27.86000061035156,27.82999992370605
2025-06-10,28.420000076293945,27.90999984741211
2025-06-11,28.34000015258789,28.479999542236328
2025-06-12,28.270000457763672,28.46999931335449
2025-06-13,28.190000534057617,28.229999542236328
2025-06-16,27.96999931335449,28.149999618530277
2025-06-17,27.649999618530277,27.850000381469727
2025-06-18,27.65999984741211,27.76000022888184
2025-06-20,27.770000457763672,27.68000030517578
2025-06-23,28.200000762939453,27.799999237060547
2025-06-24,28.280000686645508,28.15999984741211
2025-06-25,27.920000076293945,28.13999938964844
2025-06-26,28.0,27.979999542236328
2025-06-27,28.07999992370605,28.0

Indicator data:
date,20-day,close
2024-11-19,22.68397268896044,22.729999542236328
2024-11-20,22.76273362846745,22.82999992370605
2024-11-21,22.86261509321753,22.979999542236328
2024-11-22,22.9924863421591,23.18000030517578
2024-11-25,23.07389510945232,23.100000381469727
2024-11-26,23.133475942013,23.09000015258789
2024-11-27,23.224359500160567,23.270000457763672
2024-11-29,23.26552055271082,23.15999984741211
2024-12-02,23.17513411375711,22.700000762939453
2024-12-03,23.3665403022922,23.739999771118164
2024-12-04,23.464390265212774,23.530000686645508
2024-12-05,23.61743797405919,23.82999992370605
2024-12-06,23.75045354766764,23.8799991607666
2024-12-09,23.72138402875262,23.3700008392334
2024-12-10,23.728297944640047,23.51000022888184
2024-12-11,23.720972791974802,23.479999542236328
2024-12-12,23.67897311514534,23.36000061035156
2024-12-13,23.71018170815826,23.6299991607666
2024-12-16,23.52669797384957,22.84000015258789
2024-12-17,23.370463047182486,22.82999992370605
2024-12-18,23.14948423635461,22.479999542236328
2024-12-19,22.990809497778464,22.56999969482422
2024-12-20,22.907595810274728,22.75
2024-12-23,22.863499358337346,22.84000015258789
2024-12-24,22.856958788412673,22.950000762939453
2024-12-26,22.855346233964184,22.959999084472656
2024-12-27,22.82924024948926,22.86000061035156
2024-12-30,22.74423170088717,22.61000061035156
2024-12-31,22.71761804645212,22.770000457763672
2025-01-02,22.713117501673498,22.82999992370605
2025-01-03,22.66967867057185,22.670000076293945
2025-01-06,22.617773888927346,22.600000381469727
2025-01-07,22.473531308007917,22.200000762939453
2025-01-08,22.35270586494591,22.18000030517578
2025-01-10,22.129741651766125,21.690000534057617
2025-01-13,21.917317201005073,21.559999465942383
2025-01-14,21.81045668747461,21.799999237060547
2025-01-15,21.756892840489563,21.90999984741211
2025-01-16,21.747102657668403,22.020000457763672
2025-01-17,21.814519796472716,22.290000915527344
2025-01-21,21.926536296343528,22.489999771118164
2025-01-22,21.97834775646877,22.31999969482422
2025-01-23,22.0787718816312,22.530000686645508
2025-01-24,22.213194339529004,22.71999931335449
2025-01-27,22.693673212691326,24.13999938964844
2025-01-28,23.15477825280867,24.399999618530277
2025-01-29,23.485957278628028,24.229999542236328
2025-01-30,23.6984054892325,24.020000457763672
2025-01-31,23.791680407358612,23.729999542236328
2025-02-03,23.99695912009357,24.25
2025-02-04,24.158559135769895,24.25
2025-02-05,24.340830794979997,24.46999931335449
2025-02-06,24.47723796965809,24.450000762939453
2025-02-07,24.604197216081356,24.540000915527344
2025-02-10,24.78281607205028,24.86000061035156
2025-02-11,24.99558404440269,25.149999618530277
2025-02-12,25.214996591102555,25.36000061035156
2025-02-13,25.45477715166635,25.6299991607666
2025-02-14,25.702784139435753,25.8700008392334
2025-02-18,25.946448914081067,26.06999969482422
2025-02-19,26.17811098293434,26.239999771118164
2025-02-20,26.331930029571833,26.149999618530277
2025-02-21,26.566971539762037,26.6200008392334
2025-02-24,26.777423276260723,26.739999771118164
2025-02-25,26.91285878248372,26.649999618530277
2025-02-26,26.98935665103498,26.56999969482422
2025-02-27,27.12419358038649,26.899999618530277
2025-02-28,27.353704223811434,27.40999984741211
2025-03-03,27.608656080864016,27.71999931335449
2025-03-04,27.414494942412475,26.21999931335449
2025-03-05,27.23207361713813,26.18000030517578
2025-03-06,27.21409395518158,26.729999542236328
2025-03-07,27.29046269852994,27.1200008392334
2025-03-10,27.38489923346342,27.280000686645508
2025-03-11,27.123402284196565,26.01000022888184
2025-03-12,26.82580740683054,25.71999931335449
2025-03-13,26.671898334058994,26.09000015258789
2025-03-14,26.66837970744682,26.57999992370605
2025-03-17,26.72649718099403,26.82999992370605
2025-03-18,26.713341137480462,26.61000061035156
2025-03-19,26.758752253205596,26.84000015258789
2025-03-20,26.77969170595684,26.790000915527344
2025-03-21,26.853330313703708,27.020000457763672
2025-03-24,26.894911459698083,26.959999084472656
2025-03-25,27.016558398935288,27.309999465942383
2025-03-26,27.200983619889495,27.649999618530277
2025-03-27,27.490724295816868,28.200000762939453
2025-03-28,27.71787027781706,28.18000030517578
2025-03-31,27.9238819860484,28.280000686645508
2025-04-01,28.137783406788902,28.479999542236328
2025-04-02,28.217411492486033,28.13999938964844
2025-04-03,28.394326089656072,28.600000381469727
2025-04-04,28.02301665064807,26.63999938964844
2025-04-07,27.76163482814628,26.82999992370605
2025-04-08,27.428965251937107,26.38999938964844
2025-04-09,27.174736077835572,26.46999931335449
2025-04-10,26.945012168558456,26.38999938964844
2025-04-11,26.86127031863753,26.790000915527344
2025-04-14,26.900506569883902,27.200000762939453
2025-04-15,27.012000837768,27.5
2025-04-16,26.9799308938251,27.020000457763672
2025-04-17,26.9883662006117,27.149999618530277
2025-04-21,26.783639905034363,26.32999992370605
2025-04-22,26.781050331025046,26.959999084472656
2025-04-23,26.840698506979223,27.190000534057617
2025-04-24,26.97961494774347,27.530000686645508
2025-04-25,26.90791013503495,26.809999465942383
2025-04-28,26.967067254029292,27.26000022888184
2025-04-29,27.027016980558976,27.299999237060547
2025-04-30,27.18065400123851,27.700000762939453
2025-05-01,27.291096008862038,27.63999938964844
2025-05-02,27.373286016201938,27.61000061035156
2025-05-05,27.413741096940207,27.51000022888184
2025-05-06,27.61431524931369,28.15999984741211
2025-05-07,27.76125251563175,28.100000381469727
2025-05-08,27.715644016291638,27.46999931335449
2025-05-09,27.771693153378216,27.84000015258789
2025-05-12,27.59985188482507,27.01000022888184
2025-05-13,27.31197525847058,26.450000762939453
2025-05-14,27.073131659019573,26.440000534057617
2025-05-15,27.109318682794473,27.32999992370605
2025-05-16,27.241467288793775,27.71999931335449
2025-05-19,27.428329829416764,28.020000457763672
2025-05-20,27.519050998050496,27.780000686645508
2025-05-21,27.512208181891456,27.46999931335449
2025-05-22,27.443500490048766,27.229999542236328
2025-05-23,27.435952134392952,27.420000076293945
2025-05-27,27.421659677266966,27.38999938964844
2025-05-28,27.438256422056014,27.5
2025-05-29,27.42050944747661,27.3799991607666
2025-05-30,27.514744184763746,27.799999237060547
2025-06-02,27.62524796475379,27.93000030517578
2025-06-03,27.72262392322114,27.959999084472656
2025-06-04,27.64536440565694,27.36000061035156
2025-06-05,27.6845633034192,27.76000022888184
2025-06-06,27.798525285026283,28.07999992370605
2025-06-09,27.833294854569363,27.86000061035156
2025-06-10,28.00524879979612,28.420000076293945
2025-06-11,28.12305803624194,28.34000015258789
2025-06-12,28.19850624983714,28.270000457763672
2025-06-13,28.236342050277177,28.190000534057617
2025-06-16,28.206966251511226,27.96999931335449
2025-06-17,28.09681256386991,27.649999618530277
2025-06-18,28.006689770914633,27.65999984741211
2025-06-20,27.95959130974941,27.770000457763672
2025-06-23,28.031195128335586,28.200000762939453
2025-06-24,28.109214024822297,28.280000686645508
2025-06-25,28.078060429378468,27.920000076293945
2025-06-26,28.0716552177282,28.0
2025-06-27,28.085719451563538,28.07999992370605

Answer: 22.0