Question: For KLA Corporation between April 15, 2024 and July 30, 2024, how many times did the price break below the 20-day Double Exponential Moving Average line? (Smoothing factor alpha = 2 / (n + 1); Require 5n 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: DEMA = 2 * EMA1 - EMA2; EMA1 = EMA_n(P); EMA2 = EMA_n(EMA1)
Data:
date,close,high,open
2023-11-17,544.5399780273438,546.2100219726562,531.77001953125
2023-11-20,557.75,559.4199829101562,542.2000122070312
2023-11-21,550.6900024414062,555.9400024414062,555.3699951171875
2023-11-22,554.1699829101562,562.8400268554688,556.3200073242188
2023-11-24,555.6400146484375,557.219970703125,552.469970703125
2023-11-27,556.9500122070312,562.0,555.3300170898438
2023-11-28,547.1400146484375,554.5999755859375,549.1599731445312
2023-11-29,544.0700073242188,557.5,556.3699951171875
2023-11-30,544.6199951171875,547.6599731445312,544.1199951171875
2023-12-01,549.0,550.22998046875,543.239990234375
2023-12-04,539.5900268554688,545.5,543.2000122070312
2023-12-05,537.22998046875,537.3699951171875,532.2899780273438
2023-12-06,528.6099853515625,545.5900268554688,544.5399780273438
2023-12-07,541.22998046875,543.3099975585938,535.0900268554688
2023-12-08,534.4299926757812,539.1799926757812,535.530029296875
2023-12-11,559.2100219726562,563.6099853515625,545.5599975585938
2023-12-12,561.0499877929688,564.4600219726562,558.2000122070312
2023-12-13,570.7000122070312,573.5599975585938,562.0999755859375
2023-12-14,582.4199829101562,586.3499755859375,575.0499877929688
2023-12-15,585.1300048828125,590.1500244140625,585.0
2023-12-18,576.72998046875,593.0,591.510009765625
2023-12-19,578.1099853515625,583.010009765625,579.8599853515625
2023-12-20,563.2999877929688,578.5,572.0499877929688
2023-12-21,580.4500122070312,582.1500244140625,575.5
2023-12-22,582.6500244140625,585.0,579.7000122070312
2023-12-26,591.3699951171875,593.9099731445312,586.9000244140625
2023-12-27,591.469970703125,594.8900146484375,594.1699829101562
2023-12-28,586.27001953125,597.4299926757812,597.0999755859375
2023-12-29,581.2999877929688,586.7000122070312,584.780029296875
2024-01-02,560.3900146484375,573.2100219726562,573.2100219726562
2024-01-03,552.5900268554688,558.25,552.0
2024-01-04,546.4400024414062,554.9000244140625,546.3900146484375
2024-01-05,544.3099975585938,551.3499755859375,548.1099853515625
2024-01-08,562.3599853515625,565.8900146484375,549.0599975585938
2024-01-09,556.3400268554688,561.6699829101562,555.0
2024-01-10,556.0900268554688,558.9500122070312,558.9500122070312
2024-01-11,562.1400146484375,565.4099731445312,557.0
2024-01-12,560.6099853515625,564.4199829101562,563.97998046875
2024-01-16,566.8099975585938,569.5900268554688,559.1199951171875
2024-01-17,562.5,564.0,564.0
2024-01-18,590.0,591.989990234375,579.2999877929688
2024-01-19,612.989990234375,616.97998046875,595.4199829101562
2024-01-22,623.0999755859375,628.2899780273438,618.530029296875
2024-01-23,619.3300170898438,622.969970703125,618.7899780273438
2024-01-24,638.4500122070312,646.1300048828125,635.760009765625
2024-01-25,641.6900024414062,658.780029296875,651.5
2024-01-26,599.3699951171875,625.9199829101562,624.0
2024-01-29,600.0800170898438,602.2000122070312,596.489990234375
2024-01-30,595.3499755859375,602.010009765625,595.02001953125
2024-01-31,594.0399780273438,601.989990234375,587.739990234375
2024-02-01,599.0999755859375,602.0399780273438,598.780029296875
2024-02-02,604.3200073242188,607.6300048828125,595.25
2024-02-05,614.8800048828125,615.0900268554688,607.3300170898438
2024-02-06,601.6199951171875,616.3699951171875,616.3699951171875
2024-02-07,608.9000244140625,612.5,609.4000244140625
2024-02-08,618.489990234375,624.7999877929688,608.9000244140625
2024-02-09,649.7999877929688,651.260009765625,629.1500244140625
2024-02-12,648.0499877929688,657.5599975585938,646.0999755859375
2024-02-13,641.0700073242188,649.469970703125,628.1699829101562
2024-02-14,653.8400268554688,661.8699951171875,650.0
2024-02-15,652.3800048828125,661.8200073242188,655.0
2024-02-16,661.3499755859375,677.469970703125,666.989990234375
2024-02-20,651.77001953125,660.989990234375,654.510009765625
2024-02-21,651.9199829101562,652.0700073242188,645.1699829101562
2024-02-22,683.77001953125,687.6900024414062,675.6599731445312
2024-02-23,668.8200073242188,687.5700073242188,683.0
2024-02-26,683.8200073242188,686.77001953125,675.6199951171875
2024-02-27,677.5800170898438,684.7000122070312,679.989990234375
2024-02-28,673.0,675.6300048828125,667.7000122070312
2024-02-29,682.2999877929688,684.0999755859375,682.4400024414062
2024-03-01,717.5700073242188,719.219970703125,688.280029296875
2024-03-04,717.8099975585938,728.0,724.75
2024-03-05,705.8699951171875,716.219970703125,712.3300170898438
2024-03-06,715.4600219726562,721.469970703125,711.77001953125
2024-03-07,723.260009765625,729.1500244140625,719.280029296875
2024-03-08,699.2100219726562,724.469970703125,722.8099975585938
2024-03-11,685.3800048828125,691.4299926757812,690.0499877929688
2024-03-12,698.4000244140625,698.8499755859375,691.719970703125
2024-03-13,688.7100219726562,695.6599731445312,690.5999755859375
2024-03-14,692.3300170898438,701.0,698.4600219726562
2024-03-15,683.9000244140625,691.8900146484375,686.8300170898438
2024-03-18,690.7000122070312,705.1699829101562,696.3300170898438
2024-03-19,681.0599975585938,686.0,677.7999877929688
2024-03-20,695.9500122070312,698.2100219726562,680.1599731445312
2024-03-21,713.1300048828125,727.6400146484375,716.8900146484375
2024-03-22,710.5599975585938,718.2899780273438,706.4299926757812
2024-03-25,699.72998046875,708.0999755859375,697.8499755859375
2024-03-26,688.4199829101562,707.4000244140625,705.0399780273438
2024-03-27,696.8699951171875,697.7000122070312,692.4000244140625
2024-03-28,698.5700073242188,699.8200073242188,696.8699951171875
2024-04-01,710.8800048828125,718.1799926757812,700.0
2024-04-02,693.9299926757812,697.260009765625,694.22998046875
2024-04-03,697.530029296875,707.1300048828125,690.1799926757812
2024-04-04,672.75,707.8499755859375,706.280029296875
2024-04-05,682.8400268554688,688.8300170898438,674.0700073242188
2024-04-08,690.8200073242188,692.4199829101562,688.3499755859375
2024-04-09,696.8300170898438,700.0,700.0
2024-04-10,687.1199951171875,695.0,685.9000244140625
2024-04-11,700.6099853515625,701.6300048828125,694.8300170898438
2024-04-12,680.780029296875,689.27001953125,684.4400024414062
2024-04-15,678.489990234375,698.7000122070312,689.8800048828125
2024-04-16,693.3099975585938,696.9199829101562,678.489990234375
2024-04-17,658.97998046875,684.8499755859375,681.77001953125
2024-04-18,644.219970703125,658.4099731445312,655.7899780273438
2024-04-19,628.1599731445312,647.7100219726562,646.2000122070312
2024-04-22,633.6400146484375,638.72998046875,635.3499755859375
2024-04-23,648.2100219726562,654.0,636.0399780273438
2024-04-24,656.5399780273438,668.1799926757812,659.780029296875
2024-04-25,672.9500122070312,677.719970703125,656.97998046875
2024-04-26,706.260009765625,710.260009765625,683.0
2024-04-29,713.9299926757812,715.97998046875,706.4099731445312
2024-04-30,689.2899780273438,717.72998046875,711.6400146484375
2024-05-01,666.0399780273438,691.72998046875,680.469970703125
2024-05-02,682.0499877929688,683.0,675.6400146484375
2024-05-03,696.5900268554688,704.0599975585938,695.0
2024-05-06,718.3800048828125,718.7000122070312,699.1599731445312
2024-05-07,714.3800048828125,723.3800048828125,716.6300048828125
2024-05-08,717.1500244140625,717.5999755859375,709.9199829101562
2024-05-09,710.6699829101562,720.0,718.77001953125
2024-05-10,718.27001953125,728.0,720.0
2024-05-13,714.1500244140625,720.0,720.0
2024-05-14,729.9199829101562,731.72998046875,707.25
2024-05-15,759.719970703125,760.3200073242188,737.9400024414062
2024-05-16,749.47998046875,763.9299926757812,760.0
2024-05-17,747.6799926757812,758.5700073242188,756.469970703125
2024-05-20,772.7999877929688,778.4400024414062,751.8800048828125
2024-05-21,765.1400146484375,769.9600219726562,760.0
2024-05-22,771.7100219726562,772.969970703125,770.3800048828125
2024-05-23,765.0999755859375,790.52001953125,788.5800170898438
2024-05-24,779.0599975585938,783.1099853515625,774.1699829101562
2024-05-28,786.1400146484375,791.9600219726562,785.52001953125
2024-05-29,772.3599853515625,780.0700073242188,768.22998046875
2024-05-30,770.1300048828125,776.5700073242188,768.9400024414062
2024-05-31,759.530029296875,776.2899780273438,770.719970703125
2024-06-03,754.1500244140625,771.6400146484375,771.47998046875
2024-06-04,750.5599975585938,756.2999877929688,750.47998046875
2024-06-05,784.969970703125,787.5399780273438,770.3900146484375
2024-06-06,779.260009765625,787.3200073242188,780.3300170898438
2024-06-07,768.969970703125,787.9099731445312,787.5
2024-06-10,794.3800048828125,795.97998046875,761.0999755859375
2024-06-11,798.1599731445312,798.6599731445312,793.3200073242188
2024-06-12,827.8099975585938,831.5399780273438,806.8800048828125
2024-06-13,830.030029296875,832.989990234375,816.02001953125
2024-06-14,824.8400268554688,826.5399780273438,815.0
2024-06-17,848.8800048828125,851.6799926757812,826.4099731445312
2024-06-18,863.3099975585938,876.5499877929688,849.0
2024-06-20,829.5900268554688,864.1900024414062,863.3699951171875
2024-06-21,816.5499877929688,835.3400268554688,830.030029296875
2024-06-24,793.97998046875,815.510009765625,813.77001953125
2024-06-25,818.0399780273438,820.239990234375,800.8699951171875
2024-06-26,813.2999877929688,826.9000244140625,814.3800048828125
2024-06-27,814.8699951171875,826.4500122070312,819.469970703125
2024-06-28,824.510009765625,841.4099731445312,826.4400024414062
2024-07-01,827.7899780273438,828.9400024414062,823.1900024414062
2024-07-02,839.1099853515625,839.969970703125,819.4000244140625
2024-07-03,853.3300170898438,859.6599731445312,839.9400024414062
2024-07-05,855.2100219726562,859.0700073242188,855.3400268554688
2024-07-08,866.5499877929688,869.0599975585938,857.1199951171875
2024-07-09,874.9000244140625,879.8900146484375,872.5999755859375
2024-07-10,892.3499755859375,894.77001953125,877.8499755859375
2024-07-11,852.9500122070312,896.3200073242188,896.3200073242188
2024-07-12,857.719970703125,879.5399780273438,853.8499755859375
2024-07-15,858.1199951171875,876.8499755859375,858.52001953125
2024-07-16,867.1799926757812,868.7999877929688,861.3099975585938
2024-07-17,781.75,829.0800170898438,817.25
2024-07-18,787.0599975585938,797.0900268554688,793.780029296875
2024-07-19,762.5499877929688,795.5399780273438,785.4099731445312
2024-07-22,809.510009765625,811.72998046875,788.469970703125
2024-07-23,807.6599731445312,813.5,794.02001953125
2024-07-24,755.77001953125,798.739990234375,797.2999877929688
2024-07-25,762.8099975585938,791.7899780273438,767.5399780273438
2024-07-26,787.3900146484375,799.0,789.3499755859375
2024-07-29,778.5399780273438,810.47998046875,793.260009765625
2024-07-30,758.8900146484375,799.4500122070312,787.989990234375

Indicator data:
date,20-day,close
2024-01-16,562.7032222166298,566.8099975585938
2024-01-17,562.650242870507,562.5
2024-01-18,567.5941736745152,590.0
2024-01-19,576.0149935028576,612.989990234375
2024-01-22,585.0776120359249,623.0999755859375
2024-01-23,592.1571994847907,619.3300170898438
2024-01-24,601.6674533370261,638.4500122070312
2024-01-25,610.3738730533231,641.6900024414062
2024-01-26,610.1078445934547,599.3699951171875
2024-01-29,609.9214819764364,600.0800170898438
2024-01-30,608.8216042335737,595.3499755859375
2024-01-31,607.5614178742732,594.0399780273438
2024-02-01,607.3251066942103,599.0999755859375
2024-02-02,608.0040039246564,604.3200073242188
2024-02-05,610.4419760753973,614.8800048828125
2024-02-06,610.0724959855949,601.6199951171875
2024-02-07,611.0140153231407,608.9000244140625
2024-02-08,613.5052393205166,618.489990234375
2024-02-09,621.2695719087154,649.7999877929688
2024-02-12,627.5667277542409,648.0499877929688
2024-02-13,631.6411220011562,641.0700073242188
2024-02-14,637.378476710745,653.8400268554688
2024-02-15,641.9594959690851,652.3800048828125
2024-02-16,647.4312139830662,661.3499755859375
2024-02-20,650.2987168517367,651.77001953125
2024-02-21,652.6865871842097,651.9199829101562
2024-02-22,660.4121148545362,683.77001953125
2024-02-23,664.2360289840877,668.8200073242188
2024-02-26,670.1289290161257,683.8200073242188
2024-02-27,673.9450333382299,677.5800170898438
2024-02-28,676.2710021094285,673.0
2024-02-29,679.8324300944681,682.2999877929688
2024-03-01,689.1683650057907,717.5700073242188
2024-03-04,697.1118531940249,717.8099975585938
2024-03-05,701.6360972259938,705.8699951171875
2024-03-06,707.1177068303998,715.4600219726562
2024-03-07,713.09555116418,723.260009765625
2024-03-08,713.7183643511709,699.2100219726562
2024-03-11,711.5877539743049,685.3800048828125
2024-03-12,711.9678451763126,698.4000244140625
2024-03-13,710.3980978873404,688.7100219726562
2024-03-14,709.5730832261098,692.3300170898438
2024-03-15,707.2120810235887,683.9000244140625
2024-03-18,706.301489191138,690.7000122070312
2024-03-19,703.6658185985617,681.0599975585938
2024-03-20,704.004369174061,695.9500122070312
2024-03-21,707.3250012465089,713.1300048828125
2024-03-22,709.6296896972153,710.5599975585938
2024-03-25,709.5601032912359,699.72998046875
2024-03-26,707.3622779204057,688.4199829101562
2024-03-27,706.9242208629267,696.8699951171875
2024-03-28,706.7828273840825,698.5700073242188
2024-04-01,708.8256969500354,710.8800048828125
2024-04-02,707.4417789647239,693.9299926757812
2024-04-03,706.8394238441667,697.530029296875
2024-04-04,701.7666571311048,672.75
2024-04-05,699.1813209326868,682.8400268554688
2024-04-08,698.3643751131,690.8200073242188
2024-04-09,698.717449646487,696.8300170898438
2024-04-10,697.2278995750896,687.1199951171875
2024-04-11,698.3640447568217,700.6099853515625
2024-04-12,695.717186907863,680.780029296875
2024-04-15,692.999573667686,678.489990234375
2024-04-16,693.3317819953513,693.3099975585938
2024-04-17,687.3758606832259,658.97998046875
2024-04-18,679.5652668152322,644.219970703125
2024-04-19,669.9375902268384,628.1599731445312
2024-04-22,662.671607468501,633.6400146484375
2024-04-23,659.1034769444587,648.2100219726562
2024-04-24,657.5949226254305,656.5399780273438
2024-04-25,659.3273372440551,672.9500122070312
2024-04-26,666.9116732573497,706.260009765625
2024-04-29,674.8684471340954,713.9299926757812
2024-04-30,677.2662711245646,689.2899780273438
2024-05-01,675.1204871975137,666.0399780273438
2024-05-02,676.1859083923074,682.0499877929688
2024-05-03,679.7488936392986,696.5900268554688
2024-05-06,686.7711168801511,718.3800048828125
2024-05-07,692.0805457734807,714.3800048828125
2024-05-08,697.1315735046132,717.1500244140625
2024-05-09,700.2723705437608,710.6699829101562
2024-05-10,704.3164093425937,718.27001953125
2024-05-13,707.0060076141546,714.1500244140625
2024-05-14,712.133258686537,729.9199829101562
2024-05-15,721.8976204948409,759.719970703125
2024-05-16,728.3761347689472,749.47998046875
2024-05-17,733.5442980621763,747.6799926757812
2024-05-20,742.460056195249,772.7999877929688
2024-05-21,748.6440710724999,765.1400146484375
2024-05-22,755.0477303263067,771.7100219726562
2024-05-23,759.2417585491462,765.0999755859375
2024-05-24,765.2605313709257,779.0599975585938
2024-05-28,771.596985385893,786.1400146484375
2024-05-29,774.4161002899823,772.3599853515625
2024-05-30,776.3006299569266,770.1300048828125
2024-05-31,775.864427377778,759.530029296875
2024-06-03,774.3832321078888,754.1500244140625
2024-06-04,772.3359611971341,750.5599975585938
2024-06-05,776.7047348892563,784.969970703125
2024-06-06,779.3201348237496,779.260009765625
2024-06-07,779.5938666856987,768.969970703125
2024-06-10,784.3311101156497,794.3800048828125
2024-06-11,788.9858446240817,798.1599731445312
2024-06-12,798.2580841359879,827.8099975585938
2024-06-13,806.5190561463078,830.030029296875
2024-06-14,812.5531935454353,824.8400268554688
2024-06-17,821.965141791496,848.8800048828125
2024-06-18,832.5315186242751,863.3099975585938
2024-06-20,835.3432607923488,829.5900268554688
2024-06-21,835.2272128602106,816.5499877929688
2024-06-24,830.8684763756113,793.97998046875
2024-06-25,831.3304762625042,818.0399780273438
2024-06-26,830.7282557352427,813.2999877929688
2024-06-27,830.362010619204,814.8699951171875
2024-06-28,831.6704428708526,824.510009765625
2024-07-01,833.2715761392466,827.7899780273438
2024-07-02,836.5860507500859,839.1099853515625
2024-07-03,841.9017505504971,853.3300170898438
2024-07-05,846.6978527834469,855.2100219726562
2024-07-08,852.7582583355482,866.5499877929688
2024-07-09,859.3591115142916,874.9000244140625
2024-07-10,868.0690156931474,892.3499755859375
2024-07-11,868.2717417199627,852.9500122070312
2024-07-12,869.1640180404074,857.719970703125
2024-07-15,869.8631960799911,858.1199951171875
2024-07-16,871.9725617786895,867.1799926757812
2024-07-17,858.1583017486578,781.75
2024-07-18,847.1202489750783,787.0599975585938
2024-07-19,833.0935395914543,762.5499877929688
2024-07-22,829.4903320248563,809.510009765625
2024-07-23,826.023932591146,807.6599731445312
2024-07-24,813.6066484133263,755.77001953125
2024-07-25,804.194431040234,762.8099975585938
2024-07-26,800.5732363952786,787.3900146484375
2024-07-29,795.8839232807578,778.5399780273438
2024-07-30,788.3233453087211,758.8900146484375

Answer: 14.0