Question: For Uber from September 04, 2022 to January 26, 2023, what percentage of days had the high less than the 5-day Exponential Moving Average line? (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
2022-08-08,31.850000381469727,32.95500183105469,32.33000183105469
2022-08-09,31.059999465942383,31.549999237060547,31.3700008392334
2022-08-10,32.79999923706055,33.189998626708984,32.439998626708984
2022-08-11,32.2400016784668,33.36000061035156,33.15999984741211
2022-08-12,32.470001220703125,32.7599983215332,32.59000015258789
2022-08-15,32.4900016784668,32.90999984741211,32.099998474121094
2022-08-16,32.380001068115234,32.724998474121094,32.08000183105469
2022-08-17,30.71999931335449,31.709999084472656,31.649999618530277
2022-08-18,30.149999618530277,30.6200008392334,30.559999465942383
2022-08-19,29.01000022888184,29.56999969482422,29.5
2022-08-22,28.0,28.80500030517578,28.34000015258789
2022-08-23,27.809999465942383,28.674999237060547,28.059999465942383
2022-08-24,28.709999084472656,29.21999931335449,27.93000030517578
2022-08-25,29.6200008392334,29.63999938964844,28.88999938964844
2022-08-26,28.57999992370605,29.709999084472656,29.51000022888184
2022-08-29,28.739999771118164,29.190000534057617,28.100000381469727
2022-08-30,28.709999084472656,29.290000915527344,29.18000030517578
2022-08-31,28.76000022888184,29.8799991607666,29.11000061035156
2022-09-01,28.920000076293945,28.950000762939453,28.170000076293945
2022-09-02,29.049999237060547,29.63500022888184,29.5
2022-09-06,28.88999938964844,29.3700008392334,29.34000015258789
2022-09-07,30.030000686645508,30.149999618530277,28.90999984741211
2022-09-08,30.68000030517578,30.899999618530277,29.420000076293945
2022-09-09,31.780000686645508,32.04999923706055,31.0
2022-09-12,32.5,32.619998931884766,31.950000762939453
2022-09-13,31.31999969482422,31.780000686645508,30.690000534057617
2022-09-14,33.04999923706055,33.13999938964844,31.25
2022-09-15,33.130001068115234,34.32500076293945,32.95000076293945
2022-09-16,31.93000030517578,32.14500045776367,30.959999084472656
2022-09-19,31.489999771118164,31.979999542236328,31.440000534057617
2022-09-20,31.489999771118164,32.560001373291016,31.489999771118164
2022-09-21,30.46999931335449,31.674999237060547,31.450000762939453
2022-09-22,28.57999992370605,30.190000534057617,30.190000534057617
2022-09-23,27.81999969482422,28.34000015258789,28.01000022888184
2022-09-26,26.88999938964844,28.15999984741211,27.709999084472656
2022-09-27,27.56999969482422,28.489999771118164,27.670000076293945
2022-09-28,28.040000915527344,28.15999984741211,27.43000030517578
2022-09-29,26.420000076293945,27.71999931335449,27.65999984741211
2022-09-30,26.5,27.309999465942383,26.15999984741211
2022-10-03,26.71999931335449,26.899999618530277,26.76000022888184
2022-10-04,29.190000534057617,29.25,27.625
2022-10-05,29.18000030517578,29.649999618530277,28.479999542236328
2022-10-06,29.729999542236328,30.239999771118164,29.200000762939453
2022-10-07,28.06999969482422,28.86000061035156,28.82999992370605
2022-10-10,27.530000686645508,28.450000762939453,28.239999771118164
2022-10-11,24.65999984741211,26.049999237060547,25.545000076293945
2022-10-12,25.979999542236328,26.114999771118164,25.049999237060547
2022-10-13,25.0,26.024999618530277,24.46999931335449
2022-10-14,24.709999084472656,26.06999969482422,25.649999618530277
2022-10-17,25.940000534057617,26.26499938964844,25.26000022888184
2022-10-18,27.61000061035156,27.709999084472656,27.06999969482422
2022-10-19,27.530000686645508,27.729999542236328,27.059999465942383
2022-10-20,27.8700008392334,28.68000030517578,27.31999969482422
2022-10-21,28.020000457763672,28.434999465942383,27.5
2022-10-24,27.649999618530277,27.979999542236328,27.709999084472656
2022-10-25,28.36000061035156,28.545000076293945,28.0
2022-10-26,28.200000762939453,28.979999542236328,28.170000076293945
2022-10-27,27.81999969482422,28.76000022888184,28.399999618530277
2022-10-28,27.5,27.8799991607666,27.809999465942383
2022-10-31,26.56999969482422,27.729999542236328,27.61000061035156
2022-11-01,29.75,31.0,30.06999969482422
2022-11-02,28.809999465942383,30.15999984741211,29.56999969482422
2022-11-03,28.729999542236328,29.520000457763672,28.030000686645508
2022-11-04,28.38999938964844,29.725000381469727,29.440000534057617
2022-11-07,27.690000534057617,28.825000762939453,28.70499992370605
2022-11-08,27.440000534057617,28.32999992370605,27.56999969482422
2022-11-09,26.549999237060547,28.0049991607666,27.309999465942383
2022-11-10,28.850000381469727,29.31999969482422,28.3799991607666
2022-11-11,29.149999618530277,30.434999465942383,28.950000762939453
2022-11-14,29.06999969482422,29.700000762939453,28.850000381469727
2022-11-15,31.56999969482422,31.815000534057617,30.25
2022-11-16,30.040000915527344,31.15999984741211,30.950000762939453
2022-11-17,28.8799991607666,29.5,29.100000381469727
2022-11-18,28.959999084472656,29.405000686645508,29.209999084472656
2022-11-21,28.25,28.709999084472656,28.520000457763672
2022-11-22,28.07999992370605,28.32999992370605,28.270000457763672
2022-11-23,28.790000915527344,28.940000534057617,28.36000061035156
2022-11-25,28.5,28.8799991607666,28.709999084472656
2022-11-28,27.76000022888184,28.655000686645508,28.11000061035156
2022-11-29,27.76000022888184,28.229999542236328,28.049999237060547
2022-11-30,29.13999938964844,29.13999938964844,27.799999237060547
2022-12-01,28.34000015258789,29.600000381469727,29.21999931335449
2022-12-02,28.75,28.780000686645508,27.3799991607666
2022-12-05,27.700000762939453,28.86000061035156,28.40999984741211
2022-12-06,26.920000076293945,27.86000061035156,27.700000762939453
2022-12-07,26.399999618530277,26.8700008392334,26.61000061035156
2022-12-08,26.450000762939453,27.030000686645508,26.520000457763672
2022-12-09,26.549999237060547,26.959999084472656,26.399999618530277
2022-12-12,27.030000686645508,27.229999542236328,26.420000076293945
2022-12-13,26.979999542236328,28.45499992370605,28.030000686645508
2022-12-14,27.46999931335449,27.81999969482422,27.06999969482422
2022-12-15,26.239999771118164,27.11000061035156,26.979999542236328
2022-12-16,25.96999931335449,26.450000762939453,26.059999465942383
2022-12-19,24.950000762939453,26.020000457763672,26.020000457763672
2022-12-20,24.959999084472656,25.280000686645508,24.71999931335449
2022-12-21,25.36000061035156,25.670000076293945,25.149999618530277
2022-12-22,24.63999938964844,25.100000381469727,24.93000030517578
2022-12-23,24.63999938964844,24.725000381469727,24.459999084472656
2022-12-27,24.399999618530277,24.700000762939453,24.290000915527344
2022-12-28,24.59000015258789,24.71999931335449,24.209999084472656
2022-12-29,24.90999984741211,25.375,24.75
2022-12-30,24.729999542236328,24.850000381469727,24.420000076293945
2023-01-03,25.36000061035156,25.75,25.3700008392334
2023-01-04,25.90999984741211,25.96999931335449,25.729999542236328
2023-01-05,25.549999237060547,26.01000022888184,25.729999542236328
2023-01-06,26.399999618530277,26.540000915527344,25.86000061035156
2023-01-09,27.399999618530277,28.049999237060547,27.299999237060547
2023-01-10,28.040000915527344,28.25,27.399999618530277
2023-01-11,28.350000381469727,28.520000457763672,28.239999771118164
2023-01-12,29.030000686645508,29.184999465942383,28.850000381469727
2023-01-13,29.440000534057617,29.5,28.68000030517578
2023-01-17,29.200000762939453,29.780000686645508,29.440000534057617
2023-01-18,28.959999084472656,30.09000015258789,29.950000762939453
2023-01-19,29.030000686645508,29.28499984741211,28.46999931335449
2023-01-20,30.36000061035156,30.38999938964844,29.299999237060547
2023-01-23,30.530000686645508,31.11000061035156,30.6299991607666
2023-01-24,29.93000030517578,31.200000762939453,28.51000022888184
2023-01-25,30.290000915527344,30.399999618530277,29.21999931335449
2023-01-26,30.020000457763672,30.64699935913086,30.530000686645508

Indicator data:
date,5-day,high
2022-08-12,32.20605007218727,32.7599983215332
2022-08-15,32.30070060761378,32.90999984741211
2022-08-16,32.3271340944476,32.724998474121094
2022-08-17,31.791422500749896,31.709999084472656
2022-08-18,31.244281540010025,30.6200008392334
2022-08-19,30.499521102967297,29.56999969482422
2022-08-22,29.6663474019782,28.80500030517578
2022-08-23,29.04756475663293,28.674999237060547
2022-08-24,28.93504286591284,29.21999931335449
2022-08-25,29.163362190353027,29.63999938964844
2022-08-26,28.968908101470703,29.709999084472656
2022-08-29,28.892605324686524,29.190000534057617
2022-08-30,28.831736577948572,29.290000915527344
2022-08-31,28.807824461592997,29.8799991607666
2022-09-01,28.845216333159982,28.950000762939453
2022-09-02,28.91347730112684,29.63500022888184
2022-09-06,28.905651330634043,29.3700008392334
2022-09-07,29.280434449304533,30.149999618530277
2022-09-08,29.746956401261617,30.899999618530277
2022-09-09,30.424637829722915,32.04999923706055
2022-09-12,31.116425219815277,32.619998931884766
2022-09-13,31.18428337815159,31.780000686645508
2022-09-14,31.806188664454577,33.13999938964844
2022-09-15,32.2474594656748,34.32500076293945
2022-09-16,32.14163974550846,32.14500045776367
2022-09-19,31.924426420711697,31.979999542236328
2022-09-20,31.779617537513857,32.560001373291016
2022-09-21,31.343078129460736,31.674999237060547
2022-09-22,30.422052060875842,30.190000534057617
2022-09-23,29.55470127219197,28.34000015258789
2022-09-26,28.666467311344128,28.15999984741211
2022-09-27,28.300978105837494,28.489999771118164
2022-09-28,28.213985709067444,28.15999984741211
2022-09-29,27.615990498142946,27.71999931335449
2022-09-30,27.243993665428633,27.309999465942383
2022-10-03,27.06932888140392,26.899999618530277
2022-10-04,27.776219432288485,29.25
2022-10-05,28.244146389917585,29.649999618530277
2022-10-06,28.739430774023834,30.239999771118164
2022-10-07,28.516287080957298,28.86000061035156
2022-10-10,28.18752494952004,28.450000762939453
2022-10-11,27.0116832488174,26.049999237060547
2022-10-12,26.667788679957045,26.114999771118164
2022-10-13,26.111859119971363,26.024999618530277
2022-10-14,25.644572441471794,26.06999969482422
2022-10-17,25.743048472333736,26.26499938964844
2022-10-18,26.365365851673012,27.709999084472656
2022-10-19,26.753577463330515,27.729999542236328
2022-10-20,27.12571858863148,28.68000030517578
2022-10-21,27.42381254500888,28.434999465942383
2022-10-24,27.49920823618268,27.979999542236328
2022-10-25,27.786139027572307,28.545000076293945
2022-10-26,27.92409293936136,28.979999542236328
2022-10-27,27.889395191182317,28.76000022888184
2022-10-28,27.75959679412155,27.8799991607666
2022-10-31,27.363064427689107,27.729999542236328
2022-11-01,28.158709618459405,31.0
2022-11-02,28.37580623428707,30.15999984741211
2022-11-03,28.493870670270155,29.520000457763672
2022-11-04,28.45924691006292,29.725000381469727
2022-11-07,28.202831451394488,28.825000762939453
2022-11-08,27.948554478948864,28.32999992370605
2022-11-09,27.482369398319427,28.0049991607666
2022-11-10,27.93824639270286,29.31999969482422
2022-11-11,28.342164134645337,30.434999465942383
2022-11-14,28.5847759880383,29.700000762939453
2022-11-15,29.57985055696694,31.815000534057617
2022-11-16,29.733234009820407,31.15999984741211
2022-11-17,29.44882239346914,29.5
2022-11-18,29.285881290470314,29.405000686645508
2022-11-21,28.94058752698021,28.709999084472656
2022-11-22,28.653724992555492,28.32999992370605
2022-11-23,28.69915030021278,28.940000534057617
2022-11-25,28.63276686680852,28.8799991607666
2022-11-28,28.341844654166295,28.655000686645508
2022-11-29,28.147896512404813,28.229999542236328
2022-11-30,28.478597471486022,29.13999938964844
2022-12-01,28.432398365186646,29.600000381469727
2022-12-02,28.538265576791098,28.780000686645508
2022-12-05,28.258843972173885,28.86000061035156
2022-12-06,27.81256267354724,27.86000061035156
2022-12-07,27.341708321874922,26.8700008392334
2022-12-08,27.044472468896434,27.030000686645508
2022-12-09,26.879648058284474,26.959999084472656
2022-12-12,26.929765601071487,27.229999542236328
2022-12-13,26.946510248126437,28.45499992370605
2022-12-14,27.121006603202456,27.81999969482422
2022-12-15,26.82733765917436,27.11000061035156
2022-12-16,26.54155821056774,26.450000762939453
2022-12-19,26.01103906135831,26.020000457763672
2022-12-20,25.66069240239643,25.280000686645508
2022-12-21,25.56046180504814,25.670000076293945
2022-12-22,25.253640999914907,25.100000381469727
2022-12-23,25.049093796492752,24.725000381469727
2022-12-27,24.832729070505263,24.700000762939453
2022-12-28,24.751819431199475,24.71999931335449
2022-12-29,24.804546236603688,25.375
2022-12-30,24.779697338481235,24.850000381469727
2023-01-03,24.973131762438012,25.75
2023-01-04,25.285421124096047,25.96999931335449
2023-01-05,25.37361382841755,26.01000022888184
2023-01-06,25.715742425121796,26.540000915527344
2023-01-09,26.27716148959129,28.049999237060547
2023-01-10,26.86477463156998,28.25
2023-01-11,27.35984988153656,28.520000457763672
2023-01-12,27.91656681657288,29.184999465942383
2023-01-13,28.42437805573446,29.5
2023-01-17,28.682918958136128,29.780000686645508
2023-01-18,28.775279000248304,30.09000015258789
2023-01-19,28.860186229047372,29.28499984741211
2023-01-20,29.36012435614877,30.38999938964844
2023-01-23,29.75008313298102,31.11000061035156
2023-01-24,29.810055523712606,31.200000762939453
2023-01-25,29.97003732098419,30.399999618530277
2023-01-26,29.986691699910686,30.64699935913086

Answer: 80.0