Skip to main content

Apa Itu Analisis Regresi Linier Berganda?


What (Apa?)

Analisis regresi linier berganda adalah metode statistik yang digunakan untuk menganalisis hubungan antara satu variabel dependen (Y) dengan dua atau lebih variabel independen (X₁, X₂, …, Xₙ) (Gujarati & Porter, 2020).
Model dasarnya:


Y = β₀ + β₁X₁ + β₂X₂ + … + βₙXₙ + ε

di mana:

  • Y = variabel dependen
  • X₁, X₂, …, Xₙ = variabel independen
  • β₀ = intercept
  • β₁, β₂, …, βₙ = koefisien regresi
  • ε = error/residual

Why (Mengapa?)

🔹 Membantu memprediksi nilai variabel dependen.
🔹 Mengetahui pengaruh masing-masing variabel independen terhadap Y.
🔹 Berguna dalam pengambilan keputusan berbasis data.

Who (Siapa yang menggunakan?)

👨‍💼 Ekonom & peneliti bisnis → untuk memprediksi penjualan atau profit.
⚕️ Ahli kesehatan → analisis pengaruh gaya hidup terhadap penyakit.
🎓 Akademisi → riset pendidikan & sosial.
🤖 Data scientist → pemodelan prediktif dasar.

Where (Di mana dipakai?)

📈 Ekonomi & bisnis: prediksi permintaan barang.
🏥 Kesehatan: analisis faktor risiko penyakit.
📚 Pendidikan: prediksi prestasi akademik.
🌱 Pertanian: pengaruh pupuk, curah hujan, dan tanah terhadap hasil panen.

How (Bagaimana cara dilakukan?)

  1. Menentukan variabel dependen & independen.
  2. Menguji asumsi klasik (normalitas, multikolinearitas, heteroskedastisitas, autokorelasi).
  3. Mengestimasi parameter dengan metode Ordinary Least Squares (OLS).
  4. Uji signifikansi (Uji F dan Uji t).
  5. Interpretasi koefisien regresi.

Jenis Regresi Linier Berganda

  1. Regresi Linier Berganda Klasik (OLS)
    – Asumsi data memenuhi syarat klasik.
  2. Regresi dengan Transformasi (Log, Square, Interaction)
    – Digunakan bila hubungan tidak sepenuhnya linier.
  3. Stepwise Regression
    – Seleksi variabel independen terbaik.
  4. Robust Regression
    – Digunakan jika ada outlier atau asumsi klasik dilanggar.

Contoh Penerapan

Seorang peneliti ingin mengetahui pengaruh pendapatan (X₁) dan biaya iklan (X₂) terhadap penjualan produk (Y).
Hasil model:


Y = 5 + 0.7X₁ + 0.4X₂

Interpretasi:

  • Koefisien 0.7 → setiap kenaikan pendapatan 1 juta meningkatkan penjualan 0.7 unit.
  • Koefisien 0.4 → setiap kenaikan biaya iklan 1 juta meningkatkan penjualan 0.4 unit.

Kesimpulan

Analisis regresi linier berganda adalah metode penting dalam statistik inferensial untuk menganalisis pengaruh simultan beberapa variabel independen terhadap variabel dependen.
Metode ini banyak digunakan di bidang ekonomi, bisnis, kesehatan, pendidikan, dan ilmu sosial, serta menjadi dasar dalam pemodelan prediktif modern.

📖 Referensi (Scopus, 5 Tahun Terakhir)

  • Asteriou, D., & Hall, S. G. (2021). Applied econometrics. Palgrave Macmillan.
  • Gujarati, D. N., & Porter, D. C. (2020). Basic econometrics (6th ed.). McGraw-Hill.
  • Alhassan, A. L., Li, L., & Owusu, A. (2022). Determinants of bank profitability: A multiple regression approach. International Review of Financial Analysis, 80, 102051. https://doi.org/10.1016/j.irfa.2022.102051
  • Wang, Y., Xu, D., & Chen, H. (2021). Application of multiple regression models in medical data analysis. BMC Medical Research Methodology, 21(1), 112. https://doi.org/10.1186/s12874-021-01299-3
  • Kurniawan, R., & Yunanto, A. (2020). Multiple linear regression analysis for economic growth factors in Indonesia. Procedia Computer Science, 179, 480–487. https://doi.org/10.1016/j.procs.2020.01.029
Please check our service, if you need help to publish your article in Scopus, Copernicus or even Sinta journal. 



Labels:

Comments

Post a Comment

Popular posts from this blog

Download Agile Processes in Software Engineering and Extreme Programming – Workshops

 This open access book comprises research workshop papers presented at XP 2022 and XP 2023, which are the 23rd and 24th International Conferences on Agile Software Development. The conferences took place on June 13-17, 2022, at the IT University of Copenhagen, Denmark, and on June 13-16, 2023, in Amsterdam, Netherlands. XP is a leading conference that brings together research and practice in agile software development. The forum is a distinct gathering where agile researchers, practitioners, thought leaders, coaches, and trainers convene to showcase and deliberate on their latest innovations, research findings, experiences, issues, difficulties, and trends. XP conferences offer a casual setting for acquiring knowledge and stimulating discussions, catering to both newcomers and experienced practitioners of agile methodologies. Download Agile Processes in Software Engineering and Extreme Programming – Workshops The workshops that occurred in 2022 were as follows: The next events in...
Post a Comment
Read more

Download 66 Simple Rules for Entrepreneurs

This freely available book is your passport to achieving entrepreneurial triumph! Acquire pragmatic strategies to adopt an entrepreneurial mindset, identify potential prospects, establish crucial connections, craft captivating narratives, and expand your business endeavor. Uncover the strategies for conquering obstacles, effectively handling pressure, and navigating the process of decision-making in the ever-changing realm of entrepreneurship. Whether you possess extensive experience as an entrepreneur or are a novice in the field, these uncomplicated tools will direct you towards achieving success in the intricate entrepreneurial environment. Bid farewell to daunting choices and welcome a streamlined approach to realizing your entrepreneurial vision! This book also distinguishes itself from a textbook by abstaining from the use of intricate illustrations. Although examples might assist in making abstract concepts more tangible, we prefer to directly focus on the tangible aspects. Pre...
Post a Comment
Read more

Download Palgrave Studies in Sub-National Governance

This series examines the requirements and customs of cities and regions as well as the formal structures of subnational governance and democracy. In books, edited compilations, and Palgrave Pivots will examine how territorial government will develop in the future. concept of territory-based democracy; how hybrid forms of functional governance and territorial government affect established institutions between public ideals, representational democracy, and government; what changes may be made to local and regional democracies to make them more effective; and what kinds of frameworks can be created to support minority groups' participation in urban decision-making.  Download Palgrave Studies in Sub-National Governance The series' books will also look at various forms of government, such as "quadruple" governance, "triple helix" governance, and the possibility of "multiple helix" governance. The show will also address societal topics such as energy tra...
Post a Comment
Read more