Question: Calculate the percentage of days where Hasbro's low was less than its 5-day Weighted Moving Average line from April 15, 2021 to March 31, 2022. (Unit: %) (Weights are 1, 2, ..., n) 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: WMA_n = \sum_{i=0}^{n-1} (n-i) * P_{t-i} / \sum_{j=1}^{n} j
Data:
date,close,open,low,high
2021-04-09,95.23999786376952,96.33000183105467,94.7300033569336,96.83000183105467
2021-04-12,97.11000061035156,94.79000091552734,94.36000061035156,97.2699966430664
2021-04-13,98.83999633789062,96.62999725341795,95.66999816894533,100.47000122070312
2021-04-14,99.98999786376952,98.26000213623048,97.38999938964844,100.29000091552734
2021-04-15,99.01000213623048,100.31999969482422,98.83999633789062,100.36000061035156
2021-04-16,98.0,99.5,97.97000122070312,99.6500015258789
2021-04-19,98.01000213623048,98.0,96.87999725341795,98.66999816894533
2021-04-20,96.7300033569336,98.16999816894533,96.1500015258789,98.26000213623048
2021-04-21,97.69000244140624,96.75,96.56999969482422,98.4499969482422
2021-04-22,98.4800033569336,97.66000366210938,97.1500015258789,98.95999908447266
2021-04-23,97.1500015258789,99.37000274658205,96.7699966430664,100.51000213623048
2021-04-26,97.0199966430664,97.20999908447266,95.58999633789062,97.58999633789062
2021-04-27,98.3499984741211,96.75,95.7300033569336,99.8499984741211
2021-04-28,98.0,98.61000061035156,96.7699966430664,98.61000061035156
2021-04-29,99.08999633789062,98.80999755859376,98.0199966430664,99.51000213623048
2021-04-30,99.4499969482422,98.23999786376952,98.12999725341795,99.47000122070312
2021-05-03,99.36000061035156,99.70999908447266,98.45999908447266,100.4800033569336
2021-05-04,98.1999969482422,99.44000244140624,97.81999969482422,99.54000091552734
2021-05-05,99.37999725341795,98.11000061035156,98.04000091552734,99.75
2021-05-06,99.43000030517578,99.79000091552734,98.6999969482422,100.12000274658205
2021-05-07,99.1500015258789,99.75,99.11000061035156,100.41999816894533
2021-05-10,99.38999938964844,99.76000213623048,99.05999755859376,101.0999984741211
2021-05-11,98.20999908447266,99.23999786376952,97.83000183105467,100.02999877929688
2021-05-12,94.76000213623048,98.16999816894533,94.58000183105467,98.70999908447266
2021-05-13,96.30999755859376,94.9499969482422,94.9499969482422,97.0999984741211
2021-05-14,96.3000030517578,96.05999755859376,95.41999816894533,97.05999755859376
2021-05-17,96.08000183105467,96.36000061035156,94.87000274658205,96.43000030517578
2021-05-18,94.9800033569336,96.0199966430664,94.91999816894533,96.4800033569336
2021-05-19,93.83999633789062,94.37000274658205,92.75,94.66999816894533
2021-05-20,94.8000030517578,93.54000091552734,93.1999969482422,95.0
2021-05-21,94.05999755859376,94.66000366210938,93.94000244140624,95.18000030517578
2021-05-24,94.12000274658205,94.4499969482422,93.66999816894533,94.4499969482422
2021-05-25,94.04000091552734,94.43000030517578,93.88999938964844,94.87999725341795
2021-05-26,94.83000183105467,94.3000030517578,94.04000091552734,95.0
2021-05-27,95.91999816894533,94.9800033569336,94.76000213623048,96.18000030517578
2021-05-28,95.97000122070312,96.43000030517578,95.1999969482422,96.43000030517578
2021-06-01,96.29000091552734,96.5,95.5999984741211,96.76000213623048
2021-06-02,95.45999908447266,96.4000015258789,94.9499969482422,96.66000366210938
2021-06-03,95.56999969482422,95.48999786376952,94.1500015258789,95.75
2021-06-04,95.23999786376952,95.63999938964844,94.13999938964844,95.83000183105467
2021-06-07,94.75,95.62000274658205,94.47000122070312,95.6500015258789
2021-06-08,96.37000274658205,95.16000366210938,94.41000366210938,96.8000030517578
2021-06-09,95.4000015258789,96.75,95.33000183105467,96.8000030517578
2021-06-10,96.22000122070312,95.62999725341795,95.20999908447266,96.48999786376952
2021-06-11,97.47000122070312,96.3000030517578,96.05999755859376,97.63999938964844
2021-06-14,95.5,97.2300033569336,94.94000244140624,97.62999725341795
2021-06-15,95.12000274658205,95.37999725341795,94.43000030517578,95.44000244140624
2021-06-16,94.0,95.06999969482422,93.62000274658205,95.06999969482422
2021-06-17,91.83999633789062,93.98999786376952,90.80999755859376,94.13999938964844
2021-06-18,91.02999877929688,91.0500030517578,90.5500030517578,92.0
2021-06-21,92.16000366210938,91.26000213623048,90.8000030517578,92.76000213623048
2021-06-22,92.87000274658205,92.11000061035156,91.0500030517578,93.18000030517578
2021-06-23,92.70999908447266,92.98999786376952,92.51000213623048,93.3499984741211
2021-06-24,93.18000030517578,92.94000244140624,92.87999725341795,93.77999877929688
2021-06-25,93.54000091552734,93.33000183105467,92.8000030517578,93.6999969482422
2021-06-28,93.61000061035156,94.0,93.37000274658205,94.56999969482422
2021-06-29,94.0,93.97000122070312,93.52999877929688,94.62000274658205
2021-06-30,94.5199966430664,94.20999908447266,93.66999816894533,94.5999984741211
2021-07-01,95.33999633789062,94.9000015258789,94.8499984741211,95.77999877929688
2021-07-02,96.6500015258789,95.6500015258789,95.52999877929688,96.83999633789062
2021-07-06,95.62000274658205,96.45999908447266,94.56999969482422,96.69000244140624
2021-07-07,96.93000030517578,95.75,95.52999877929688,97.11000061035156
2021-07-08,96.88999938964844,96.19000244140624,95.38999938964844,97.2300033569336
2021-07-09,97.9800033569336,97.62999725341795,97.22000122070312,98.25
2021-07-12,98.1500015258789,97.58999633789062,97.22000122070312,98.26000213623048
2021-07-13,97.56999969482422,98.16000366210938,97.27999877929688,98.31999969482422
2021-07-14,97.79000091552734,97.6500015258789,97.3000030517578,98.41999816894533
2021-07-15,94.8000030517578,97.7300033569336,94.51000213623048,97.8499984741211
2021-07-16,94.04000091552734,94.56999969482422,93.61000061035156,94.8499984741211
2021-07-19,91.8000030517578,93.04000091552734,90.81999969482422,93.4499969482422
2021-07-20,94.0,92.16000366210938,91.91000366210938,94.38999938964844
2021-07-21,94.22000122070312,94.37000274658205,93.83999633789062,95.29000091552734
2021-07-22,93.23999786376952,94.1999969482422,92.86000061035156,94.1999969482422
2021-07-23,92.41000366210938,93.68000030517578,91.68000030517578,93.68000030517578
2021-07-26,103.72000122070312,98.0999984741211,96.87999725341795,104.88999938964844
2021-07-27,101.37000274658205,102.81999969482422,100.33999633789062,103.45999908447266
2021-07-28,99.87999725341795,101.4000015258789,99.75,102.69000244140624
2021-07-29,100.48999786376952,100.51000213623048,99.36000061035156,100.76000213623048
2021-07-30,99.44000244140624,99.87000274658205,99.18000030517578,101.5
2021-08-02,99.6500015258789,100.06999969482422,99.47000122070312,101.5999984741211
2021-08-03,100.37999725341795,100.0500030517578,98.66999816894533,100.87000274658205
2021-08-04,99.55999755859376,100.33999633789062,99.1500015258789,101.01000213623048
2021-08-05,99.06999969482422,99.61000061035156,98.41000366210938,99.7300033569336
2021-08-06,97.98999786376952,99.22000122070312,97.68000030517578,99.9499969482422
2021-08-09,98.1999969482422,98.27999877929688,97.91999816894533,98.95999908447266
2021-08-10,98.68000030517578,98.06999969482422,97.79000091552734,99.02999877929688
2021-08-11,98.70999908447266,98.5199966430664,97.7300033569336,99.05999755859376
2021-08-12,99.06999969482422,98.9800033569336,98.41000366210938,99.3499984741211
2021-08-13,100.26000213623048,99.33000183105467,99.04000091552734,100.2699966430664
2021-08-16,99.9800033569336,99.8499984741211,99.4800033569336,100.7699966430664
2021-08-17,97.30999755859376,99.4000015258789,96.25,99.4000015258789
2021-08-18,95.9499969482422,96.9499969482422,95.9000015258789,97.20999908447266
2021-08-19,94.77999877929688,96.3499984741211,94.29000091552734,97.2699966430664
2021-08-20,95.83999633789062,95.0999984741211,94.91000366210938,96.37999725341795
2021-08-23,97.18000030517578,96.06999969482422,96.06999969482422,97.58000183105467
2021-08-24,97.66000366210938,96.94000244140624,96.9000015258789,98.4499969482422
2021-08-25,98.44000244140624,98.01000213623048,97.69000244140624,98.83999633789062
2021-08-26,97.93000030517578,98.33999633789062,97.72000122070312,98.8499984741211
2021-08-27,98.4499969482422,97.66000366210938,97.51000213623048,98.87000274658205
2021-08-30,98.33000183105467,98.98999786376952,98.19000244140624,99.5199966430664
2021-08-31,98.30999755859376,98.55999755859376,97.73999786376952,98.73999786376952
2021-09-01,98.8499984741211,98.54000091552734,98.05999755859376,99.7699966430664
2021-09-02,98.94000244140624,99.08000183105467,98.44000244140624,99.44000244140624
2021-09-03,99.36000061035156,99.08999633789062,98.41000366210938,99.41000366210938
2021-09-07,100.20999908447266,99.79000091552734,99.48999786376952,100.9499969482422
2021-09-08,98.11000061035156,100.22000122070312,97.88999938964844,100.6500015258789
2021-09-09,98.04000091552734,98.20999908447266,97.6999969482422,99.0
2021-09-10,98.0199966430664,98.36000061035156,97.76000213623048,99.0199966430664
2021-09-13,97.55999755859376,98.27999877929688,97.13999938964844,98.63999938964844
2021-09-14,97.4800033569336,97.80999755859376,96.6999969482422,97.80999755859376
2021-09-15,98.5999984741211,97.2300033569336,96.76000213623048,98.79000091552734
2021-09-16,98.73999786376952,98.22000122070312,97.7699966430664,99.08999633789062
2021-09-17,97.52999877929688,98.18000030517578,96.52999877929688,98.66999816894533
2021-09-20,95.5999984741211,96.6999969482422,94.8499984741211,97.27999877929688
2021-09-21,92.86000061035156,96.19000244140624,92.83000183105467,97.52999877929688
2021-09-22,94.30999755859376,92.86000061035156,91.43000030517578,94.48999786376952
2021-09-23,94.6500015258789,94.93000030517578,94.58000183105467,96.0199966430664
2021-09-24,94.43000030517578,94.27999877929688,93.93000030517578,95.37999725341795
2021-09-27,94.06999969482422,94.2699966430664,93.9800033569336,95.5199966430664
2021-09-28,92.5199966430664,93.9800033569336,91.7300033569336,94.29000091552734
2021-09-29,92.23999786376952,92.87999725341795,92.12999725341795,93.23999786376952
2021-09-30,89.22000122070312,92.6500015258789,88.81999969482422,92.66000366210938
2021-10-01,89.08999633789062,89.27999877929688,86.62999725341797,89.6500015258789
2021-10-04,86.6500015258789,89.54000091552734,86.05000305175781,89.54000091552734
2021-10-05,87.12000274658203,86.9800033569336,86.08000183105469,87.72000122070312
2021-10-06,87.91000366210938,86.56999969482422,86.30000305175781,88.0199966430664
2021-10-07,89.30999755859375,88.91999816894531,88.5199966430664,90.25
2021-10-08,90.0,89.70999908447266,89.70999908447266,90.76000213623048
2021-10-11,88.54000091552734,88.0,87.80999755859375,89.62000274658203
2021-10-12,88.05000305175781,88.87999725341797,87.0,89.44999694824219
2021-10-13,88.25,87.5,86.9000015258789,88.72000122070312
2021-10-14,91.3499984741211,89.16999816894531,88.94999694824219,92.02999877929688
2021-10-15,92.47000122070312,92.02999877929688,91.6500015258789,93.1500015258789
2021-10-18,92.62000274658205,92.18000030517578,91.6999969482422,93.31999969482422
2021-10-19,93.29000091552734,92.98999786376952,92.08000183105467,93.95999908447266
2021-10-20,91.0199966430664,93.25,90.81999969482422,93.25
2021-10-21,92.45999908447266,90.81999969482422,90.73999786376952,92.58999633789062
2021-10-22,89.5,93.62999725341795,88.76000213623047,93.87000274658205
2021-10-25,88.5,89.52999877929688,88.0199966430664,89.58999633789062
2021-10-26,91.36000061035156,91.5199966430664,90.66999816894533,94.12999725341795
2021-10-27,94.5999984741211,91.2300033569336,90.62000274658205,95.06999969482422
2021-10-28,96.58999633789062,94.9499969482422,94.0199966430664,96.66999816894533
2021-10-29,95.76000213623048,95.16000366210938,93.8000030517578,96.0999984741211
2021-11-01,94.9499969482422,95.87999725341795,94.58000183105467,96.0500030517578
2021-11-02,93.4499969482422,95.1999969482422,92.06999969482422,95.26000213623048
2021-11-03,93.5500030517578,93.37000274658205,92.69000244140624,94.76000213623048
2021-11-04,94.81999969482422,93.86000061035156,93.41999816894533,95.04000091552734
2021-11-05,96.0,95.12999725341795,95.0199966430664,96.19000244140624
2021-11-08,97.1999969482422,96.0,95.0,97.4499969482422
2021-11-09,97.63999938964844,97.20999908447266,96.8000030517578,97.9800033569336
2021-11-10,97.6500015258789,97.58999633789062,97.0199966430664,99.9000015258789
2021-11-11,98.22000122070312,97.58999633789062,96.83999633789062,98.76000213623048
2021-11-12,98.1999969482422,98.6500015258789,97.37000274658205,98.6500015258789
2021-11-15,99.08999633789062,98.75,98.33000183105467,99.79000091552734
2021-11-16,99.41999816894533,99.08999633789062,99.08999633789062,100.61000061035156
2021-11-17,100.70999908447266,99.01000213623048,99.01000213623048,101.04000091552734
2021-11-18,99.83000183105467,100.87999725341795,98.88999938964844,101.04000091552734
2021-11-19,100.4800033569336,100.0,99.3000030517578,100.5999984741211
2021-11-22,100.43000030517578,100.54000091552734,99.8000030517578,101.1999969482422
2021-11-23,99.5,100.37999725341795,98.5999984741211,100.91999816894533
2021-11-24,99.41999816894533,98.9800033569336,98.1500015258789,99.58000183105467
2021-11-26,98.75,98.25,97.7300033569336,99.58000183105467
2021-11-29,99.12999725341795,99.2300033569336,97.87999725341795,99.95999908447266
2021-11-30,96.91000366210938,98.33000183105467,96.37999725341795,98.7699966430664
2021-12-01,96.66000366210938,97.56999969482422,96.58999633789062,99.5199966430664
2021-12-02,98.66999816894533,96.9000015258789,96.26000213623048,99.0500030517578
2021-12-03,98.37000274658205,99.1500015258789,97.41000366210938,99.70999908447266
2021-12-06,98.62000274658205,98.47000122070312,98.33000183105467,100.0999984741211
2021-12-07,100.11000061035156,99.56999969482422,99.0199966430664,100.51000213623048
2021-12-08,100.93000030517578,100.4000015258789,99.94000244140624,101.18000030517578
2021-12-09,100.41000366210938,100.88999938964844,100.11000061035156,101.25
2021-12-10,100.81999969482422,100.91000366210938,100.25,102.1500015258789
2021-12-13,100.58000183105467,100.62000274658205,99.75,101.0
2021-12-14,100.4000015258789,100.23999786376952,99.47000122070312,100.98999786376952
2021-12-15,101.4000015258789,100.33999633789062,99.51000213623048,101.66999816894533
2021-12-16,101.23999786376952,101.88999938964844,101.12999725341795,102.79000091552734
2021-12-17,98.8499984741211,100.4800033569336,98.69000244140624,100.72000122070312
2021-12-20,95.97000122070312,97.86000061035156,95.0999984741211,97.9800033569336
2021-12-21,96.5199966430664,96.88999938964844,96.18000030517578,97.61000061035156
2021-12-22,96.62000274658205,96.79000091552734,95.94000244140624,97.30999755859376
2021-12-23,97.91999816894533,96.62000274658205,96.25,98.37000274658205
2021-12-27,99.33000183105467,98.11000061035156,97.43000030517578,99.4000015258789
2021-12-28,98.7300033569336,99.41999816894533,98.37999725341795,100.1500015258789
2021-12-29,99.51000213623048,98.98999786376952,98.73999786376952,99.70999908447266
2021-12-30,101.0199966430664,99.76000213623048,99.76000213623048,101.45999908447266
2021-12-31,101.77999877929688,100.88999938964844,100.83999633789062,101.91999816894533
2022-01-03,102.16999816894533,102.22000122070312,100.9000015258789,102.87000274658205
2022-01-04,103.91999816894533,102.48999786376952,102.33000183105467,105.36000061035156
2022-01-05,103.31999969482422,104.3000030517578,103.1500015258789,105.7300033569336
2022-01-06,103.1500015258789,103.31999969482422,102.3000030517578,103.8000030517578
2022-01-07,102.77999877929688,103.1500015258789,102.0500030517578,103.62999725341795
2022-01-10,101.4000015258789,101.77999877929688,100.33000183105467,102.33999633789062
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Indicator data:
date,5-day,low
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2022-03-08,90.63133087158204,87.38999938964844
2022-03-09,89.89933166503906,89.70999908447266
2022-03-10,89.30999806722005,88.12999725341797
2022-03-11,88.22733256022136,86.37999725341797
2022-03-14,87.66666514078776,86.30999755859375
2022-03-15,87.65199788411458,86.72000122070312
2022-03-16,88.28533070882162,87.83000183105469
2022-03-17,88.8239974975586,88.95999908447266
2022-03-18,89.20399881998698,88.36000061035156
2022-03-21,89.41666666666667,88.31999969482422
2022-03-22,89.38199971516927,88.97000122070312
2022-03-23,87.92066752115885,85.05000305175781
2022-03-24,86.90800069173177,84.38999938964844
2022-03-25,85.96666615804037,84.55000305175781
2022-03-28,84.97200012207031,83.19000244140625
2022-03-29,85.21866760253906,85.16000366210938
2022-03-30,85.00066731770833,83.97000122070312
2022-03-31,83.96399993896485,81.16000366210938

Answer: 15.5738