# A Proper Outlier Detection For the Attached Figure

I am wondering how I could detect the red points as outliers using an algorithm (best method for this scenario) not through visualization since it is clear that they are outliers in the figure. Sometimes the red points are close to blue points but still very clear that the trend of data is broken like the attached one (80-90).

[0.00141879500243899,0.00178697795331762,0.00127892495577177,0.00143570026155573,0.00153525992083240,0.00141777922735790,0.00152684591126789,0.00148885286898430,0.00147674740998246,0.00171508938382390,0.00165398976301962,0.00142538361585036,0.00153910246593531,0.00175399308385697,0.00134698941964965,0.00172515548793911,0.00149595587129531,0.00180172725031118,0.00159037639551324,0.00187032999673476,0.00162790342840977,0.00184600681551365,0.00135449709645852,0.00176929230036940,0.00153284963291986,0.00142926162224541,0.00159764194281474,0.00163851042007631,0.00176726005837321,0.00154359218169479,0.00149738650032808,0.00152516973826902,0.00175781634013908,0.00193870678151384,0.00134159374501505,0.00166629459390643,0.00188211161641099,0.00142375632598846,0.00137379155155053,0.00183054686766502,0.00160358781806976,0.00143105342415080,0.00142689725164074,0.00133488790173896,0.00133731094914472,0.00157740531444255,0.00176267948564612,0.00158566715398123,0.00168298974941153,0.00188913573739626,0.00152608364331322,0.00161781941692366,0.00170761490900949,0.00128898986929469,0.00142269915268986,0.00153236250883160,0.00134121959772013,0.00138340739578642,0.00163948156950012,0.00158019133687677,0.00181565712864830,0.00159289331356989,0.00149272763991994,0.00150116573044485,0.00154147840865167,0.00158596715872812,0.00121074317389216,0.00156105400252430,0.00131969571973573,0.00150953288527507,0.00149105878102976,0.00147152491535477,0.00185102147226634,0.00142891794335564,0.00138431150537657,0.00151693760998362,0.00151919782691779,0.00109257864093704,0.00161380666227643,0.00190699585602371,0.000820445758286120,0.000798119153983038,0.000839861185604018,0.000861822463118421,0.000859391873730350,0.000990174686493857,0.000848612912439895,0.000916179621359871,0.00106081255138086,0.00117911733587858,0.00154535094976525,0.00144471958801459,0.00151941232953032,0.00150116342904493,0.00150758186003230,0.00174635072071058,0.00165893906442366,0.00184780915258433,0.00188991692005409,0.00150433295701926]


Thanks.

• Can you include the data used to make the chart? – Edmund May 2 '19 at 21:32
• Yes. I added in the main post. – Arkan May 3 '19 at 5:02