Question: How many times did the price break below the 60-day Triple Exponential Moving Average line for Merck & Co. from September 04, 2022 to January 03, 2023? (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
2021-04-01,73.55915832519531,73.6259536743164
2021-04-05,73.47328186035156,73.96946716308594
2021-04-06,72.3187026977539,73.38740539550781
2021-04-07,72.63359069824219,72.59542083740234
2021-04-08,72.03244018554688,72.59542083740234
2021-04-09,72.81488800048828,72.05152893066406
2021-04-12,72.72901153564453,72.87213897705078
2021-04-13,72.92938995361328,72.4904556274414
2021-04-14,72.90076446533203,72.80534362792969
2021-04-15,73.14885711669922,72.5667953491211
2021-04-16,73.9217529296875,73.71183013916016
2021-04-19,74.1030502319336,74.14122009277344
2021-04-20,74.97137451171875,74.12213897705078
2021-04-21,75.60114288330078,75.31488800048828
2021-04-22,74.38931274414062,75.38167572021484
2021-04-23,74.31298065185547,74.29389190673828
2021-04-26,73.97901153564453,74.29389190673828
2021-04-27,73.8167953491211,73.8740463256836
2021-04-28,73.55915832519531,74.05534362792969
2021-04-29,70.30534362792969,72.04198455810547
2021-04-30,71.08778381347656,70.20992279052734
2021-05-03,72.5,70.85877990722656
2021-05-04,72.5095443725586,72.59542083740234
2021-05-05,74.14122009277344,72.614501953125
2021-05-06,74.21755981445312,73.89312744140625
2021-05-07,74.8187026977539,74.43701934814453
2021-05-10,74.5896987915039,75.20992279052734
2021-05-11,73.91221618652344,74.26526641845703
2021-05-12,74.42748260498047,74.15076446533203
2021-05-13,75.08587646484375,74.32251739501953
2021-05-14,74.7042007446289,75.43893432617188
2021-05-17,76.21183013916016,75.0667953491211
2021-05-18,75.74427795410156,75.70610809326172
2021-05-19,75.72518920898438,75.31488800048828
2021-05-20,76.0114517211914,75.31488800048828
2021-05-21,75.55343627929688,76.26908111572266
2021-05-24,75.4103012084961,75.88740539550781
2021-05-25,73.95037841796875,75.38167572021484
2021-05-26,73.6927490234375,73.99809265136719
2021-05-27,72.4427490234375,73.95037841796875
2021-05-28,72.41412353515625,72.53816986083984
2021-06-01,71.73664093017578,72.57633972167969
2021-06-02,72.39503479003906,71.86068725585938
2021-06-03,73.91000366210938,73.22000122070312
2021-06-04,74.11000061035156,74.19999694824219
2021-06-07,72.80000305175781,74.13999938964844
2021-06-08,72.4000015258789,72.94999694824219
2021-06-09,74.04000091552734,73.0
2021-06-10,76.13999938964844,75.2300033569336
2021-06-11,76.2699966430664,76.70999908447266
2021-06-14,75.44999694824219,75.73999786376953
2021-06-15,75.69999694824219,75.5
2021-06-16,76.61000061035156,76.22000122070312
2021-06-17,77.2300033569336,76.33999633789062
2021-06-18,76.61000061035156,76.73999786376953
2021-06-21,76.75,76.88999938964844
2021-06-22,76.19000244140625,76.58999633789062
2021-06-23,75.58000183105469,75.8499984741211
2021-06-24,76.36000061035156,75.7300033569336
2021-06-25,77.19999694824219,76.05999755859375
2021-06-28,76.86000061035156,77.25
2021-06-29,77.20999908447266,77.0
2021-06-30,77.7699966430664,77.4000015258789
2021-07-01,77.98999786376953,77.6500015258789
2021-07-02,78.5999984741211,78.04000091552734
2021-07-06,78.11000061035156,78.13999938964844
2021-07-07,78.55999755859375,78.41000366210938
2021-07-08,78.12000274658203,77.7699966430664
2021-07-09,77.98999786376953,78.41999816894531
2021-07-12,77.55000305175781,77.55000305175781
2021-07-13,77.61000061035156,77.4000015258789
2021-07-14,77.62000274658203,77.5999984741211
2021-07-15,77.9000015258789,77.62000274658203
2021-07-16,78.0199966430664,78.01000213623047
2021-07-19,77.05000305175781,77.80999755859375
2021-07-20,76.16999816894531,77.19000244140625
2021-07-21,76.38999938964844,76.31999969482422
2021-07-22,76.52999877929688,76.5999984741211
2021-07-23,77.54000091552734,76.80000305175781
2021-07-26,77.23999786376953,77.45999908447266
2021-07-27,77.8499984741211,77.16999816894531
2021-07-28,78.33000183105469,77.86000061035156
2021-07-29,76.93000030517578,77.55000305175781
2021-07-30,76.87000274658203,77.12000274658203
2021-08-02,76.18000030517578,76.93000030517578
2021-08-03,76.41000366210938,76.36000061035156
2021-08-04,75.4800033569336,76.48999786376953
2021-08-05,75.58999633789062,75.5199966430664
2021-08-06,75.44000244140625,75.62000274658203
2021-08-09,75.31999969482422,75.8499984741211
2021-08-10,75.19000244140625,75.1500015258789
2021-08-11,75.20999908447266,75.58000183105469
2021-08-12,76.04000091552734,75.12000274658203
2021-08-13,76.72000122070312,76.36000061035156
2021-08-16,77.93000030517578,76.7300033569336
2021-08-17,78.83000183105469,77.9000015258789
2021-08-18,77.79000091552734,78.87999725341797
2021-08-19,78.45999908447266,77.70999908447266
2021-08-20,78.68000030517578,78.52999877929688
2021-08-23,78.37999725341797,79.11000061035156
2021-08-24,77.72000122070312,78.2699966430664
2021-08-25,77.06999969482422,77.80999755859375
2021-08-26,76.56999969482422,77.11000061035156
2021-08-27,76.30000305175781,76.80999755859375
2021-08-30,76.5,76.30000305175781
2021-08-31,76.29000091552734,76.79000091552734
2021-09-01,76.18000030517578,76.22000122070312
2021-09-02,77.12000274658203,76.4800033569336
2021-09-03,77.26000213623047,77.26000213623047
2021-09-07,75.9800033569336,76.58999633789062
2021-09-08,75.36000061035156,75.97000122070312
2021-09-09,73.81999969482422,75.19000244140625
2021-09-10,73.44999694824219,73.9800033569336
2021-09-13,73.18000030517578,73.7699966430664
2021-09-14,72.11000061035156,73.05000305175781
2021-09-15,72.80999755859375,72.08000183105469
2021-09-16,71.97000122070312,73.0199966430664
2021-09-17,71.68000030517578,71.19000244140625
2021-09-20,71.93000030517578,71.16000366210938
2021-09-21,71.97000122070312,72.4800033569336
2021-09-22,72.04000091552734,72.33000183105469
2021-09-23,73.05000305175781,72.68000030517578
2021-09-24,73.61000061035156,73.58999633789062
2021-09-27,73.36000061035156,73.51000213623047
2021-09-28,73.31999969482422,73.55000305175781
2021-09-29,75.08999633789062,73.61000061035156
2021-09-30,75.11000061035156,75.58000183105469
2021-10-01,81.4000015258789,81.55999755859375
2021-10-04,83.0999984741211,84.16999816894531
2021-10-05,81.5999984741211,82.77999877929688
2021-10-06,80.66000366210938,81.5
2021-10-07,81.94000244140625,81.54000091552734
2021-10-08,80.62999725341797,81.66999816894531
2021-10-11,79.93000030517578,81.63999938964844
2021-10-12,79.58999633789062,80.18000030517578
2021-10-13,78.94999694824219,79.58999633789062
2021-10-14,78.33000183105469,78.97000122070312
2021-10-15,78.33000183105469,78.19999694824219
2021-10-18,77.1500015258789,78.73999786376953
2021-10-19,79.48999786376953,78.7300033569336
2021-10-20,81.06999969482422,79.31999969482422
2021-10-21,81.16999816894531,81.11000061035156
2021-10-22,81.1500015258789,81.1500015258789
2021-10-25,81.66000366210938,81.02999877929688
2021-10-26,82.25,81.9000015258789
2021-10-27,81.54000091552734,82.4800033569336
2021-10-28,86.55000305175781,83.37999725341797
2021-10-29,88.05000305175781,86.48999786376953
2021-11-01,87.83999633789062,88.05000305175781
2021-11-02,89.0199966430664,88.2300033569336
2021-11-03,88.68000030517578,88.7699966430664
2021-11-04,90.54000091552734,90.37000274658205
2021-11-05,81.61000061035156,82.29000091552734
2021-11-08,82.68000030517578,80.41000366210938
2021-11-09,82.72000122070312,83.62000274658203
2021-11-10,84.01000213623047,83.30999755859375
2021-11-11,84.0199966430664,83.91999816894531
2021-11-12,84.0,83.83999633789062
2021-11-15,83.69000244140625,84.1500015258789
2021-11-16,84.11000061035156,83.66999816894531
2021-11-17,82.5999984741211,84.37000274658203
2021-11-18,83.05000305175781,82.30000305175781
2021-11-19,80.69999694824219,82.37000274658203
2021-11-22,81.63999938964844,81.0
2021-11-23,82.80000305175781,81.48999786376953
2021-11-24,82.27999877929688,82.80000305175781
2021-11-26,79.16000366210938,78.7300033569336
2021-11-29,74.88999938964844,76.41999816894531
2021-11-30,74.91000366210938,74.75
2021-12-01,74.44000244140625,75.52999877929688
2021-12-02,73.88999938964844,74.37999725341797
2021-12-03,73.33999633789062,74.08999633789062
2021-12-06,73.41999816894531,73.30000305175781
2021-12-07,72.27999877929688,72.02999877929688
2021-12-08,73.20999908447266,72.54000091552734
2021-12-09,72.86000061035156,73.44000244140625
2021-12-10,72.62000274658203,73.12000274658203
2021-12-13,73.41999816894531,72.37000274658203
2021-12-14,73.72000122070312,72.36000061035156
2021-12-15,75.29000091552734,73.70999908447266
2021-12-16,75.91000366210938,75.5
2021-12-17,75.69000244140625,76.55999755859375
2021-12-20,76.41000366210938,75.69999694824219
2021-12-21,75.54000091552734,76.25
2021-12-22,76.16000366210938,75.44000244140625
2021-12-23,75.7300033569336,76.30000305175781
2021-12-27,76.56999969482422,76.0
2021-12-28,76.80999755859375,76.68000030517578
2021-12-29,76.94999694824219,76.80000305175781
2021-12-30,77.13999938964844,77.12000274658203
2021-12-31,76.63999938964844,77.13999938964844
2022-01-03,76.87000274658203,76.58000183105469
2022-01-04,77.01000213623047,76.4000015258789
2022-01-05,78.87999725341797,77.26000213623047
2022-01-06,78.83000183105469,78.79000091552734
2022-01-07,80.30000305175781,78.86000061035156
2022-01-10,82.37000274658203,80.54000091552734
2022-01-11,81.66999816894531,82.41999816894531
2022-01-12,81.19999694824219,81.08000183105469
2022-01-13,81.31999969482422,80.93000030517578
2022-01-14,81.37999725341797,81.5999984741211
2022-01-18,81.54000091552734,81.0999984741211
2022-01-19,81.29000091552734,80.9800033569336
2022-01-20,80.75,80.7300033569336
2022-01-21,79.9800033569336,81.2699966430664
2022-01-24,78.83000183105469,79.7699966430664
2022-01-25,79.45999908447266,78.41999816894531
2022-01-26,79.13999938964844,79.38999938964844
2022-01-27,80.58000183105469,78.41999816894531
2022-01-28,80.9000015258789,79.54000091552734
2022-01-31,81.4800033569336,81.0199966430664
2022-02-01,81.91999816894531,81.95999908447266
2022-02-02,82.01000213623047,81.80000305175781
2022-02-03,79.01000213623047,81.6500015258789
2022-02-04,78.55999755859375,78.51000213623047
2022-02-07,77.58000183105469,78.79000091552734
2022-02-08,76.91000366210938,77.0999984741211
2022-02-09,76.52999877929688,77.16999816894531
2022-02-10,76.55999755859375,76.36000061035156
2022-02-11,76.63999938964844,76.4000015258789
2022-02-14,76.47000122070312,76.62999725341797
2022-02-15,77.80999755859375,77.51000213623047
2022-02-16,77.22000122070312,77.19999694824219
2022-02-17,76.36000061035156,76.8499984741211
2022-02-18,76.37000274658203,76.31999969482422
2022-02-22,75.94999694824219,76.45999908447266
2022-02-23,75.83999633789062,76.19000244140625
2022-02-24,73.51000213623047,75.0999984741211
2022-02-25,76.31999969482422,74.19999694824219
2022-02-28,76.58000183105469,75.83000183105469
2022-03-01,76.33999633789062,76.5
2022-03-02,76.66999816894531,76.30999755859375
2022-03-03,77.1500015258789,76.7699966430664
2022-03-04,77.83000183105469,76.68000030517578
2022-03-07,77.7300033569336,77.01000213623047
2022-03-08,76.94999694824219,77.25
2022-03-09,77.79000091552734,77.62000274658203
2022-03-10,77.88999938964844,77.62999725341797
2022-03-11,78.26000213623047,78.31999969482422
2022-03-14,77.77999877929688,77.9000015258789
2022-03-15,78.63999938964844,77.68000030517578
2022-03-16,78.12000274658203,78.95999908447266
2022-03-17,78.94000244140625,78.1500015258789
2022-03-18,79.11000061035156,79.18000030517578
2022-03-21,79.05999755859375,79.66999816894531
2022-03-22,79.30000305175781,79.2699966430664
2022-03-23,79.7300033569336,79.30000305175781
2022-03-24,80.41000366210938,80.04000091552734
2022-03-25,81.33999633789062,80.58999633789062
2022-03-28,81.20999908447266,81.37000274658203
2022-03-29,81.56999969482422,81.66000366210938
2022-03-30,82.4000015258789,81.83999633789062
2022-03-31,82.05000305175781,82.9000015258789
2022-04-01,83.5199966430664,82.19000244140625
2022-04-04,83.48999786376953,83.5
2022-04-05,83.72000122070312,83.66000366210938
2022-04-06,84.97000122070312,84.36000061035156
2022-04-07,86.80000305175781,85.75
2022-04-08,87.68000030517578,86.63999938964844
2022-04-11,86.62999725341797,88.31999969482422
2022-04-12,85.62999725341797,86.0
2022-04-13,86.12999725341797,85.80000305175781
2022-04-14,86.91000366210938,86.12999725341797
2022-04-18,86.06999969482422,86.41999816894531
2022-04-19,85.79000091552734,85.97000122070312
2022-04-20,86.45999908447266,85.5199966430664
2022-04-21,86.2300033569336,86.41000366210938
2022-04-22,84.58999633789062,85.86000061035156
2022-04-25,85.44000244140625,84.58999633789062
2022-04-26,84.4800033569336,85.76000213623047
2022-04-27,84.41000366210938,84.30000305175781
2022-04-28,88.58000183105469,85.75
2022-04-29,88.69000244140625,88.66000366210938
2022-05-02,87.6500015258789,88.72000122070312
2022-05-03,87.0999984741211,86.98999786376953
2022-05-04,88.5199966430664,86.56999969482422
2022-05-05,88.01000213623047,88.41999816894531
2022-05-06,88.38999938964844,87.73999786376953
2022-05-09,87.63999938964844,87.5
2022-05-10,87.80999755859375,88.12000274658203
2022-05-11,89.19000244140625,87.41999816894531
2022-05-12,90.83000183105467,89.8499984741211
2022-05-13,90.41000366210938,90.6999969482422
2022-05-16,92.31999969482422,90.79000091552734
2022-05-17,93.0,92.30999755859376
2022-05-18,92.0999984741211,92.55999755859376
2022-05-19,92.08999633789062,91.25
2022-05-20,93.5500030517578,92.4499969482422
2022-05-23,93.83000183105467,93.58999633789062
2022-05-24,94.63999938964844,94.25
2022-05-25,93.75,94.36000061035156
2022-05-26,92.30999755859376,94.23999786376952
2022-05-27,93.08000183105467,92.27999877929688
2022-05-31,92.02999877929688,91.91000366210938
2022-06-01,91.13999938964844,91.66999816894533
2022-06-02,90.0,91.12999725341795
2022-06-03,89.91000366210938,89.73999786376953
2022-06-06,89.83999633789062,90.16999816894533
2022-06-07,90.4800033569336,90.1500015258789
2022-06-08,89.4800033569336,90.58000183105467
2022-06-09,88.0,89.25
2022-06-10,87.18000030517578,87.16999816894531
2022-06-13,85.0,85.70999908447266
2022-06-14,84.5,84.7699966430664
2022-06-15,84.62999725341797,84.55999755859375
2022-06-16,84.88999938964844,83.7699966430664
2022-06-17,84.62000274658203,84.63999938964844
2022-06-21,88.02999877929688,86.05000305175781
2022-06-22,89.16000366210938,88.04000091552734
2022-06-23,92.0,90.0
2022-06-24,93.12999725341795,93.25
2022-06-27,94.41000366210938,93.1999969482422
2022-06-28,91.88999938964844,94.11000061035156
2022-06-29,92.51000213623048,92.30999755859376
2022-06-30,91.16999816894533,91.6500015258789
2022-07-01,92.41999816894533,91.3000030517578
2022-07-05,92.63999938964844,92.44000244140624
2022-07-06,93.12999725341795,93.30999755859376
2022-07-07,93.01000213623048,92.94000244140624
2022-07-08,92.77999877929688,92.91000366210938
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Indicator data:
date,60-day,close
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2022-09-26,86.27349723392904,86.18000030517578
2022-09-27,86.11420391849592,85.83999633789062
2022-09-28,86.05684346016967,86.77999877929688
2022-09-29,85.99210161654698,86.63999938964844
2022-09-30,85.88430161642721,86.12000274658203
2022-10-03,85.92183248437736,87.55000305175781
2022-10-04,86.03916155629021,88.38999938964844
2022-10-05,86.15111357420126,88.38999938964844
2022-10-06,86.16751391770774,87.44000244140625
2022-10-07,86.20009182887118,87.5999984741211
2022-10-10,86.5066248044491,90.4800033569336
2022-10-11,86.84945279158053,91.0500030517578
2022-10-12,87.11178062071002,90.41999816894533
2022-10-13,87.55553338168156,92.48999786376952
2022-10-14,87.9422418919402,92.18000030517578
2022-10-17,88.48942140794327,94.12000274658205
2022-10-18,89.0483934601849,94.61000061035156
2022-10-19,89.44289996573872,93.26000213623048
2022-10-20,89.78125082552981,92.94000244140624
2022-10-21,90.35709602078775,95.66999816894533
2022-10-24,91.05679015186827,97.37000274658205
2022-10-25,91.74249104376052,97.70999908447266
2022-10-26,92.44891259565256,98.41000366210938
2022-10-27,93.2342293787014,99.73999786376952
2022-10-28,94.0643294596716,100.7699966430664
2022-10-31,94.87871525050853,101.1999969482422
2022-11-01,95.49992333277572,99.76000213623048
2022-11-02,96.04277088924566,99.4000015258789
2022-11-03,96.48438623840623,98.75
2022-11-04,96.93572806141503,99.1999969482422
2022-11-07,97.43591859840845,100.06999969482422
2022-11-08,98.03486376896635,101.5
2022-11-09,98.59837918439806,101.58999633789062
2022-11-10,99.14843501789406,101.88999938964844
2022-11-11,99.28304659274448,97.95999908447266
2022-11-14,99.63036434355276,100.3499984741211
2022-11-15,99.87777695702927,99.5999984741211
2022-11-16,100.13442123613099,99.93000030517578
2022-11-17,100.5947428274662,102.30999755859376
2022-11-18,101.20169571000427,104.2300033569336
2022-11-21,101.89418040233019,105.61000061035156
2022-11-22,102.65779141019212,106.9000015258789
2022-11-23,103.35718508304204,106.81999969482422
2022-11-25,104.0684666647279,107.5
2022-11-28,104.8162228816699,108.4499969482422
2022-11-29,105.54445293302817,108.83999633789062
2022-11-30,106.33876718728202,110.12000274658205
2022-12-01,107.0422675898274,109.8000030517578
2022-12-02,107.71376110644272,110.04000091552734
2022-12-05,108.32931888095668,110.01000213623048
2022-12-06,108.79235743259457,108.93000030517578
2022-12-07,109.32571232175451,110.08999633789062
2022-12-08,109.88662731622273,110.8499984741211
2022-12-09,110.20380746361765,108.77999877929688
2022-12-12,110.50795540018115,108.97000122070312
2022-12-13,110.9664463247642,110.91000366210938
2022-12-14,111.44554008974868,111.5500030517578
2022-12-15,111.70014899837443,109.62999725341795
2022-12-16,111.8865100713007,109.1999969482422
2022-12-19,112.07284464930389,109.44000244140624
2022-12-20,112.26208604751241,109.70999908447266
2022-12-21,112.56166606157439,111.11000061035156
2022-12-22,112.84363619097877,111.23999786376952
2022-12-23,113.15577076796434,111.86000061035156
2022-12-27,113.46186289356903,112.12000274658205
2022-12-28,113.63857241067447,111.08000183105467
2022-12-29,113.76851779177284,110.81999969482422
2022-12-30,113.89193225071917,110.9499969482422
2023-01-03,114.015065168958,111.13999938964844

Answer: 18.0