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Journal : E-Jurnal Matematika

PERAMALAN PENGGUNAAN LISTRIK DI PROVINSI BALI MENGGUNAKAN METODE ARIMA I GEDE GANA ARIAWAN; I WAYAN SUMARJAYA; MADE SUSILAWATI
E-Jurnal Matematika Vol. 14 No. 3 (2025)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2025.v14.i03.p487

Abstract

This study aims to forecast electricity consumption in the Province of Bali using the ARIMA (Autoregressive Integrated Moving Average) method. The forecasting process is based on monthly electricity usage data spanning from January 2015 to June 2024. The initial analysis revealed a significant upward trend, with a notable decline in usage during 2020, coinciding with the COVID-19 pandemic. To address the issue of non-stationarity in the data, a differencing process was applied until stationarity was achieved, as confirmed by the Augmented Dickey-Fuller (ADF) test. Model identification was conducted using ACF and PACF plots, and several ARIMA models were evaluated based on their Akaike Information Criterion (AIC) values. The ARIMA(0,1,1) model was selected as the most suitable model due to its lowest AIC value and its compliance with diagnostic assumptions, including uncorrelated residuals (verified by the Ljung-Box test) and normally distributed residuals (confirmed by the Shapiro-Wilk test). The forecasting results demonstrated that the selected model provides stable predictions for the subsequent 12 months. This study is expected to contribute to effective planning and management of electricity demand in the Bali region.
METODE REGRESI MULTILEVEL UNTUK MENGIDENTIFIKASI FAKTOR-FAKTOR LAMA MASA STUDI MAHASISWA FMIPA UNIVERSITAS UDAYANA UTAMI, DEWA AYU MADE SRI WIJAYATI; SUSILAWATI, MADE; SUKARSA, I KOMANG GDE
E-Jurnal Matematika Vol. 15 No. 1 (2026)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2026.v15.i01.p497

Abstract

Hierarchical data is data that has a multilevel structure, where individuals belong to certain groups and variables are measured at different levels. Analysis of hierarchical data without considering group membership may result in bias due to violation of the independence assumption. Multilevel regression analysis is a statistical method to overcome this problem by modeling the data structure at several levels. This study aims to apply three-level multilevel regression analysis to identify factors that affect the study duration of undergraduate students at FMIPA Udayana University. In this data structure, students are at the first level, grouped into classes at the second level, and the classes are in study programs at the third level. The model uses random intercepts as well as exploring random slopes to assess differences in the influence of independent variables between study programs.
Co-Authors AA Sudharmawan, AA Abdillah Arif Nasution Ade Widyaningsih Adelia Yuniarti Adinda Audy Sita Mayzandy Agung Wijanarko, Agung Ahmad Mumtaz Tauba Ahmad, Zuhad ALEXANDER JOSEPH RIADI Andini Ni Kadek ANNA FITRIANI Anresangsya Pria Satvika Antesty, Sella Arnes Yuli Vandika Asmara Santhi, Ni Kadek Wulanda Asri Ady Bakri As’ady, Mustofa Bagus Hari Sugiharto Bakkara, Bonica Nisra Br Barus, Eka Valencia Cahyono, Ari Nugroho Cernan,Chr, A, Liu Chrisna Anzella Jacob Citra Annisa Rahmania DAIMATUL KHOIRIYAH Dani Prasetyo Deri Apriadi DESAK AYU WIRI ASTITI Desak Putu Eka Nilakusmawati Detti Meilandri DEWA AYU DWI ASTUTI Dewa, Saroja Sari Diana Anggraini Kusumawati Diana Diana Diva, Made Tresia Pramasta Duffin Dwi Dersmi Selan DWI LARAS RIYANTINI Eddy Silamat, Eddy Eka N Kencana EKA N. KENCANA Eknoe, Arwilda Eko Nur Hermansyah Endi Rustendi EVI NOVIYANTARI FATIMAH Fachrurazi Fadil Mas’ud Fatmasari, Ria Kristia Febriyanti, Ni Wayan Atik FELINA CHANTIKA PUTRI G. K. GANDHIADI G. K. GANDHIADI G.K. GANDHIADI Gusti Ayu Ariska Citra Dewi GUSTI AYU RATIH ASTARI Handrianus Akoit Hartono Hartono Hellena Hendarta Hendarta, Hellena Hugo Prasetyo Winotoatmojo I GEDE GANA ARIAWAN I Gusti Ayu Made Srinadi I GUSTI AYU MADE VALENTINA DEWI I GUSTI NGURAH SENTANA PUTRA I KOMANG GDE SUKARSA I PUTU ARISTA YASA I Putu Eka Nila Kencana I Putu Winada Gautama I WAYAN RIAN PRATAMA I WAYAN SUMARJAYA I Wayan Sumarjaya I.G.A. DIAH SULASIH IDA AYU SRI PADMINI Ika Fitrianita IMAMUDDIN KAMIL INA AZIZAH KADRI IPW Gautama IRA INDRIYANTI iswanto IYOS ALFRANTA SURBAKTI Jamaluddin Majid Johannes P Kumagaya Johnny Chandra Juliani Tandi Tumbiri JULIE THERESYA PELAMONIA KADEK YUSA MAHENDRA Karol Octrisdey Kartika Sari Kastini, Ni Wayan Ketut Jayanegara Kharisma Dewi, Ni Putu Dian KOMANG CANDRA IVAN KOMANG KOKOM SUCAHYATI DEWI P Kosasih, Eva Kusiyah Lesmana, Tera Liza Utama LUH GEDE UDAYANI LUH PUTU IDA HARINI LUH PUTU SAFITRI PRATIWI Luluk Sarifah M ARRIE KUNILASARI ELYNA Made Ayu Asri Oktarini Putri MADE AYU DWI OCTAVANNY MADE NARYMURTI WIDYASTUTI Maria Lodika Long Masnoni, Masnoni Ma’mun, Akhmad Haqiqi Meilandri, Detti Meliance Bria Melkianus Ratu MILATUS SHOLIKHA Miltiades Dewifortuna Pulo MIRA AYU NOVITA SARI MODANA LOLITA Muhamad Risal Tawil Muhammad Prasha Risfi Silitonga Musran Munizu Nadiya Yunan Naswan Hadilia Neneng Widayati Nggandung, Yeheskial NI KADEK AYU PUJI ASTUTI NI KADEK DWI ARISYA AFRILIANTI NI KADEK ENDAH YANITA UTARI Ni Ketut Tari Tastrawati Ni Komang Jeni Frika Yanti Ni Luh Gede Arun Dayanti Purwa NI LUH GEDE WIDIADNYANI NI LUH PUTU RATNA KUMALASARI Ni Luh Putu Suciptawati NI LUH WIWIN YUNIARTI NI MADE ARY DHARMA WIDYA ASTUTI Ni Made Deviani Prisilia NI MADE PUSPASARI NI MADE SRI KUSUMAWARDHANI NI MADE SRI SUGIANTARI NI MADE SUKMA PERTIWI NI MADE SURYA JAYANTI NI NENGAH RIKA PUSPITA NI NYOMAN UTAMI DEWI Ni Nyoman Widiasih NI PUTU IIN VINNY DAYANTI NI PUTU NADYA AGUSVIANI NI PUTU PREMA DEWANTI NI WAYAN ARI SUNDARI NI WAYAN DIAH SIHMAWATI NI WAYAN WIDYA EKARANI NI WAYAN YUNI CAHYANI Niken Savitri Primasari Nilakusmawati, DPE ningrum, dedah - Ningrum, Endah Prawesti Nurhanimah Nurmahadi Nurul Ilma Nurul Iman, Nurul Nurwijayanti Nyoman Wendri Octavanny, Made Ayu Dwi PALUPI PURNAMA SARI Pardede, Mahadi Parlindungan Dongoran PRISCELLA PURBA Pulo, Miltiades Dewifortuna PUTRI DAMEYANTI Putu Edi Dimas Saputra PUTU OKA SURYA ARSANA Putu Rama Hari Bagaskara P. Ramli Semmawi Retnawati Siregar Rinovian Rais Rudy Irwansyah Sahri, Yulian Santoso, FahrulImam Sari Purnamayanti, Ni Gusti Ayu Kadek Siti Aisyah Hanim, Siti Aisyah Siti Hawa SITTI HAJAR Srinadi, I Gusti Ayu Srinadi, IGAM Suciptawati, NLP Suryati Sutama Wisnu Dyatmika Syunikitta, Mirwanti Thalib, Najdah Tita Safitriawati Ulfatun Farika Novitasari Usmany, Paul UTAMI, DEWA AYU MADE SRI WIJAYATI Utami, Eva Yuniarti Veronika Nitsae Wagiyo Widianti, Nyoman Yasir Maulana, Yasir ZAKIAH NURLAILA Zein Ghozali