Penentuan Derajat Optimum Interpolasi pada Metode Lagrange dan Metode Newton Gregory dalam Mengestimasi Kasus Pasien Sembuh dari Covid-19 di Indonesia

Julian, Muhammad; Ambarwati, Lukita; Mahatma, Yudi

doi:10.21009/jmt.4.1.2

Cited by 3 publications

(5 citation statements)

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“…From Table 3, it can also be concluded that the 2 nd order polynomial interpolation method is the most effective to use in forecasting gold prices because the smallest MAE, RMSE, and MAPE values are 6.895, 4.562, and 0.434% respectively. The results of this study are in line with the research of (Lamabelawa, 2019;Muhammad Julian et al, 2022). This suggests that a polynomial of 2 nd order has been able to model and forecast gold price fluctuations well.…”

Section: Conclusion and Suggestionsupporting

confidence: 88%

“…MAE, RMSE, and MAPE are measures of forecasting error used to measure how far the forecasting results are from the actual value. The smaller the MAE, RMSE, and MAPE values, the more accurate the polynomial interpolation forecasting model used (Lamabelawa, 2019;Muhammad Julian et al, 2022). The following are the formulas given for MAE, RMSE, and MAPE:…”

Section: Evaluating the Accuracy Of The Polynomial Interpolation Modelmentioning

confidence: 99%

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Gold Price Fluctuation Forecasting Based on Newton and Lagrange Polynomial Interpolation

Maharani,

Azka,

Darlena

2023

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Gold is a highly valuable commodity and an investment opportunity for many people. However, thereare often significant fluctuations in gold prices that affect investment decisions. Various mathematicalforecasting methods have been developed to anticipate gold price fluctuations. This study uses historicaldaily data of gold prices during January-May 2023. The method used in this study is the Newton andLagrange polynomial interpolation method with several orders to analyze data and forecast gold pricefluctuations. The purpose of this study is to compare the performance and accuracy of the order levels ofthe Newton and Lagrange polynomial interpolation forecasting models. In this study, the test data pointsand orders are selected so that a range is formed that matches the amount of data available. The testorders used in this study include orders 2, 3, 5, 6, and 10. This study found that the 2nd order polynomialinterpolation method is more effective and accurate in forecasting gold price fluctuations compared tothe higher orders tested. This is indicated by the results of the calculation of MAE, RMSE, and MAPEvalues in 2nd order polynomial interpolation which are smaller than in 3rd, 5th, 6th, and 10th orderpolynomial interpolation. This suggests that a polynomial of 2nd order has been able to model andforecast gold price fluctuations well. However, it is important to remember that these conclusions arebased on the data and methods used in this study. Variability in forecasting results can occur dependingon the quality of the data, the time period used, and the interpolation method applied, among others.Therefore, further research and wider testing needs to be conducted to validate these conclusions.

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Section: Conclusion and Suggestionsupporting

confidence: 88%

Section: Evaluating the Accuracy Of The Polynomial Interpolation Modelmentioning

confidence: 99%

Gold Price Fluctuation Forecasting Based on Newton and Lagrange Polynomial Interpolation

Maharani,

Azka,

Darlena

2023

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“…Jika Polinomial Newton menggunakan data yang berjarak sama maka Polinomial Newton Gregory Maju dapat ditulis sebagai Persamaan (3) berikut (Pratiwi, et. al., 2017;Julian, et. al., 2022, Balqis, et.…”

Section: Polinomial Newton Gregory Majuunclassified

“…Penurunan rumus Interpolasi Polinomial Newton Gregory Mundur sama dengan penurunan rumus Interpolasi Polinomial Newton Gregory Maju, dengan demikian diperoleh persamaan Interpolasi Polinomial Newton Gregory Mundur sebagai berikut Julian, et. al., 2022):…”

Section: Polinomial Newton Gregory Mundurunclassified

Implementasi Metode Polinomial Newton Gregory untuk Mengestimasi Produksi Tanaman Biofarmaka di Kalimantan Barat

Almira,

Yundari,

Im’roah

2023

J. Eurekamatika

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Biopharmaceutical plants or known as medicinal plants are types of plants that have functions and efficacious as medicines and are used to cure or prevent various diseases. Empirically, the use of biopharmaceutical plants is believed to be efficacious and passed on as a cultural wealth from generation to generation through tradition. Previous research has shown that some people in West Kalimantan still use biopharmaceutical plants as an alternative to traditional medicine. So, there needs to be an estimate of the number of production biopharmaceutical plants in West Kalimantan using Newton Gregory Polynomial Interpolation. Methode of The Newton Gregory Polynomial has two types, namely Forward Newton Gregory Polynomial and Backward Newton Gregory Polynomial. The accuracy of the two methods can be seen from the results of the relative error analysis. The simulation with the Newton Gregory Backward Polynomial, the average of relative error is 0,5338, while the implementation with the Newton Gregory Forward Polynomial, the average of relative error is 0,6569.Keywords: Newton Gregory Polynomial, Newton Gregory Polynomial, Mean Relative Error. AbstrakTanaman biofarmaka atau dikenal dengan nama tanaman obat adalah jenis-jenis tanaman yang memiliki khasiat sebagai obat dan dipergunakan untuk penyembuhan ataupun mencegah berbagai penyakit. Pemanfaatan tanaman biofarmaka secara empiris diyakini kemanjurannya dan diwariskan sebagai kekayaan budaya turun melalui tradisi. Penelitian terlebih dahulu membuktikan bahwa sebagian masyarakat di Kalimantan Barat masih menggunakan tanaman biofarmaka sebagai alternative pengobatan tradisional. Maka dari itu diperlukan adanya pengestimasian jumlah produksi tanaman biofarmaka Provinsi Kalimantan Barat menggunakan Interpolasi Polinomial Newton Gregory. Interpolasi Polinomial Newton Gregory memiliki dua jenis, yaitu Polinomial Newton Gregory Maju dan Polinomial Newton Gregory Mundur. Hasil simulasi estimasi menunjukkan bahwa Polinomial Newton Gregory Mundur, diperoleh rata-rata galat relatif sebesar 0,5338, Sedangkan implementasi dengan menggunakan Polinomial Newton Gregory Maju diperoleh rata-rata galat relatif 0,6569.

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“…Kebisingan dalam jangka waktu yang lama bisa menyebabkan beberapa gangguan kesehatan (Siswati, 2017) [3]. Penilitian ini dilakukan dengan tujuan untuk mengetahui volume kendaraan pada ruas Jalan Raya Pantura pada ruas Kecamatan Pucuk -Kecamatan Sukodadi tahun 2023, mengetahui besar tingkat kebisingan yang ditimbulkan pada Jalan Raya Pantura pada ruas Kecamatan Pucuk -Kecamatan Sukodadi pada tahun 2023, mengetahui korelasi antara volume kendaraan dengan tingkat kebisingan [5] pada Jalan Raya Pantura pada ruas Kecamatan Pucuk -Kecamatan Sukodadi pada tahun 2023, dan memetakan volume kendaraan dan kebisingan di Jalan Raya Pantura pada ruas Kecamatan Pucuk -Kecamatan Sukodadi pada tahun 2023.…”

Section: Pendahuluanunclassified

Analisis Kebisingan di Jalan Raya Pantura Kecamatan Pucuk - kecamatan sukodadi (perbandingan metode regresi linear dan newton forward)

Putri,

Wibisana

2023

SIPIL SAINS

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Transportasi adalah suatu pergerakan baik manusia ataupun barang dari suatu tempat ke suatu tujuan. Pada proses pergerakan tersebut tentu dibutuhkan sebuah sarana pengangkut untuk mempermudah berupa kendaraan yang mana dalam pengoperasiannya dapat menimbulkan suara-suara seperti suara mesin yang kelur melalui knalpot maupun klakson. Kebisingan sendiri berasal dari kata bising yang artinya semua bunyi yang mengalihkan perhatian, mengganggu, atau berbahaya bagi kegiatan sehari-hari, bising umumnya didefinisikan sebagai bunyi yang tidak diinginkan dan juga dapat menyebabkan polusi lingkungan. (David Cornwell 1998).Maka dari itu perlu dipandang untuk dilakukan penelitian perhitungan tingkat kebisingan yang terjadi masih dapat tertolerir atau sudah melampaui ambang batas sehingga perlu dilakukan suatu kegiatan yang perlu dilakukan untuk mengurangi dampak negative dari kebisingan tersebut. Analisa kebisingan tersebut dilakukan di jam sibuk baik pagi hari ataupun sore hari yang memungkinkan terjadinya kenaikan intensitas polusi suara kebisingan di jalan raya yang berasal dari sepeda motor (MC) kendaraan ringan (LV). analisa ini dilakukan dengan menggunakan 2 metode yakni metode Regresi linear dengan

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Penentuan Derajat Optimum Interpolasi pada Metode Lagrange dan Metode Newton Gregory dalam Mengestimasi Kasus Pasien Sembuh dari Covid-19 di Indonesia

Cited by 3 publications

References 0 publications

Gold Price Fluctuation Forecasting Based on Newton and Lagrange Polynomial Interpolation

Gold Price Fluctuation Forecasting Based on Newton and Lagrange Polynomial Interpolation

Implementasi Metode Polinomial Newton Gregory untuk Mengestimasi Produksi Tanaman Biofarmaka di Kalimantan Barat

Analisis Kebisingan di Jalan Raya Pantura Kecamatan Pucuk - kecamatan sukodadi (perbandingan metode regresi linear dan newton forward)

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