Pemodelan Nilai Tukar Rupiah terhadap Dolar AS Menggunakan Ridge Regression dengan Koreksi Autokorelasi Prais Winsten
DOI:
https://doi.org/10.20956/ejsa.v7i1.45517Keywords:
Autocorrelation, Multicollinearity, Prais Winsten, Ridge Regression, Rupiah Exchange Rate Against the US DollarAbstract
Linear regression is a statistical method used to analyze the relationship between dependent and independent variables. Parameter estimation is generally obtained through the Ordinary Least Square (OLS) method, which produces unbiased and efficient estimates. However, the presence of multicollinearity and autocorrelation can render OLS estimates suboptimal. The Ridge Regression method combined with Prais Winsten correction can to produce more accurate parameter estimates than OLS. Unlike the subjective approach in determining the bias constant () through Ridge Trace, this study determines the optimal value by minimizing the Mean Square Error (MSE). The results show that the Ridge Regression model with Prais Winsten autocorrelation correction has an Adjusted R² of 78% and a Root Mean Square Error (RMSE) of Rp364,389. Four independent variables are found to have a significant effect on the exchange rate of the Indonesian Rupiah against the United States Dollar (USD), namely money supply, interest rate, exports, and imports.
References
Gujarati, D. N., & Porter, D. C. Basic Econometrics. 5th ed., McGraw Hill Irwin, United States, 2010.
Budi, A. D. A. S., Septiana, L., & Mahendra, B. E. P. Memahami Asumsi Klasik dalam Analisis Statistik: Sebuah Kajian Mendalam tentang Multikolinearitas, Heterokedastisitas, dan Autokorelasi dalam Penelitian. Jurnal Multidisiplin West Science, 3(1), 1-11, 2021.
Greene, W. Econometric Analysis. 5th ed., Prentice Hall, New Jersey, 2003.
Hoerl, A. E., & Kennard, R. W. Ridge Regression: Biassed Estimation for Nonorthogonal Problems. Technometrics, 12 (1), 55-67, 1970.
Rosyadi, M. Z. Penerapan Metode Regresi Ridge untuk Mengatasi Masalah Multikolinearitas Pada Kasus Indeks Pembangunan Manusia di Provinsi Jawa Tengah. Tugas Akhir, Universitas Islam Indonesia, Yogyakarta, 2018.
Sari, C. D. P. Kombinasi Metode Ridge Regression dan Generalized Least Square untuk Penanganan Asumsi Multikolinieritas dan Autokorelasi (Studi Kasus Jumlah Kasus Covid-19 di ASEAN). Tugas Akhir, Universitas Brawijaya, Malang, 2021.
Lestari, P. S., Martha, S., & Debataraja, N. N. Penerapan Metode Regresi Ridge Pada Kasus Angka Kematian Bayi di Provinsi Jawa Timur. Buletin Ilmiah Math. Stat. dan Terapannya, 11(4), 603-610, 2022.
Habibah, A. N. Perbandingan Akurasi Penduga Generalized Least Square Menggunakan Penduga Koefisien Autokorelasi Cochrane-Orcutt Iterative dan Prais Winsten Pada Kasus Autokorelasi. Tugas Akhir, Universitas Brawijaya, Malang, 2017.
Avedish, D., Wibowo, F. T., Azmi, N. U., Nada, Q., & Sarpini. Peran Nilai Tukar Rupiah dan Fluktuasi Valuta Asing Terhadap Ketahanan Ekonomi Indonesia. Jurnal Kajiam dan Penalaran Ilmu Manajemen, 3(1), 223-235, 2025.
Miftahudin, H. Ini Deretan 10 Mata Uang Terendah di Dunia, Rupiah Nomor Berapa? MetroTv, Jakarta Barat, 2025.
Bank Indonesia. Kurs Transaksi Bank Indonesia. 2025.
Pardasia, S., & Syafri. Analisis Faktor yang Mempengaruhi Nilai Tukar. Jurnal Ekonomi Trisakti, 4(1), 187-196, 2024.
Montgomery, D. C., Peck, E. A., & Vining, G. G. Introduction to Linear Regression Analysis. 5th ed., John Wiley and Sons, Kanada, 2012.
Pitaloka, R. A., Sugito, & Rahmawati, R. Perbandingan Metode ARIMA Box-Jenkins dengan ARIMA Ensemble Pada Peramalan Nilai Impor Provinsi Jawa Tengah. Jurnal Gaussian, 8(2), 194-207, 2019.
Draper, N., & Smith, H. Applied Regression Analysis. 3rd ed., John Wiley and Sons, Kanada, 1998.
Kutner, M. H., Nachtsheim, C. J., Neter, J., & Li, W. Applied Linear Statistical Models. 5th ed., McGraw-Hill Irwin, New York, 2005.
Hodson, T. O. Root-Mean-Square Error (RMSE) or Mean Absolute Error (MAE): When to use them or not. Geoscientific Model Development, 15(14), 81–87, 2022.
Waldi, I., & Amar, S. Pengaruh Inflasi, Tingkat Bunga, Emas Dunia, Dan Utang Luar Negeri Terhadap Nilai Tukar Rupiah. Ecosains: Jurnal Ilmiah Ekonomi Dan Pembangunan, 9(2), 114-124, 2020.
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