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All Journal Media Statistika SAINS DAN MATEMATIKA JURNAL SISTEM INFORMASI BISNIS Jurnal Gaussian Jurnal Transportasi Al-Ahwal: Jurnal Hukum Keluarga Islam JOIV : International Journal on Informatics Visualization Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control Jurnal Teknovasi : Jurnal Teknik dan Inovasi Mesin Otomotif, Komputer, Industri dan Elektronika Jurnal el-Qanuniy: Jurnal Ilmu-Ilmu Kesyariahan dan Pranata Sosial Al-Qadha: Jurnal Hukum Islam dan Perundang-Undangan Al-Manhaj: Jurnal Hukum dan Pranata Sosial Islam Infotek : Jurnal Informatika dan Teknologi Journal of Islamic Law STRATEGY : Jurnal Inovasi Strategi dan Model Pembelajaran El-Izdiwaj: Indonesian Journal of Civil and Islamic Family Law Al Hurriyah : Jurnal Hukum Islam Syarah: Jurnal Hukum Islam dan Ekonomi Yurisprudentia: Jurnal Hukum Ekonomi Jurnal Sultan : Riset Hukum Tata Negara Jurnal Fakta Hukum (JFH) Al-Zayn: Jurnal Ilmu Sosial & Hukum El-Sirry: Jurnal Hukum Islam dan Sosial Indonesian Journal of Humanities and Social Sciences Al-battar: Jurnal Pamungkas Hukum
Mustafid Mustafid
Departemen Statistika, Fakultas Sains Dan Matematika, Universitas Diponegoro
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Journal : SAINS DAN MATEMATIKA

 1 
Solving a system of linear equations by QR Factorization Method for Temperature and Altitude Regression Model against Spontaneous-Potential Widowati, Widowati; Setyawan, Agus; Mustafid, Mustafid; Nur, Muhammad; Sudarno, Sudarno; Harmoko, Udi; Adhy, Satriyo; Gunawan, Gunawan; Subagio, Agus; Tjahjana, Heru; Sulpiani, Ririn; Riyanto, Djalal Er; Suhartono, Suhartono; Mukid, Mochammad Abdul; Suseno, Jatmiko Endro
JURNAL SAINS DAN MATEMATIKA Volume 22 Issue 3 Year 2014
Publisher : JURNAL SAINS DAN MATEMATIKA

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Abstract

Many real problems can be represented in the form of multiple linear regression equation. One of those is the relationship between the variables of temperature and altitude of the spontaneous-potential. In order to determine the parameters of the regression equation, the least squares method was used. From here, there was obtained the system of linear equations. In this paper, to solve systems of linear equations, the exact method was used as the exact solution is certainly better than the approached solution. The method used was the QR factorization method. At the QR factorization, the system of linear equations was written in form of matrix equation. Then, the coefficient matrix which the number of rows is m and number of columns is n with linearly independent columns was factored into the matrix Q which has the same size with the matrix A, with orthonormal columns and matrix R was upper triangular. Furthermore, by backward substitution, it could be obtained the exact solution of linear equation system. As verification of this proposed method, a case study was given using data of temperature, altitude, and spontaneous-potential in the geothermal manifestations area, Gedongsongo, Mount Ungaran Semarang. From here, it was obtained the parameters of exact multiple linear regression model which states the relationship between temperature and altitude toward the spontaneous-potential.
Co-Authors Abdul Hoyyi Abdul Munir, Akmal Adestya Ayu Maharani Adi Wahyu Romariardi Adian Fatchur Rochim Agatha, Insani Tiara Agil Setyo Anggoro Agung Budiwirawan Agung Budiwirawan Agus Rusgiyono Agus Setyawan Agus Subagio Ahmad Lubis Ghozali Akbarizan Akbarizan Al Bajuri, Azzuhri Alan Prahutama Alfahari Anggoro, Alfahari Alfrianus Papuas Algifari, Muhammad Faiz Alifia Hana Linda Rachmawati Alifia Hanifah Mumtaz Amrina Rosyada Anak Agung Gede Sugianthara Anastasia Arinda Andi Gunawan Anisa, Darania Anwar, Alfiansyah Arief Rachman Hakim Aris Sugiharto Arisman Arisman Aulia Desy Deria Ayudya Tri Wahyuningtyas Bambang Haryadi Bambang Riyanto Bambang Riyanto Basuki Rahmat Masdi Siduppa Bayu Surarso Beta Noranita Budi Warsito Catur Edi Widodo Cynthia Damayanti Daniel Alfa Puryono Di Asih I Maruddani Diah Safitri Diandra Zakeshia Tiara Kannitha Djalal Er Riyanto Dwi Harti Pujiana Dwi Ispriyanti Dwi Putri Handayani Dwinta Rahmallah Pulukadang, Dwinta Rahmallah Dyna Marisa Khairina Edi Widodo, Edi Eko Adi Sarwoko Faiz Algifari, Muhammad Ferry Jie, Ferry Hasbi Yasin Hosen, Hosen Hsb, Putra Halomoan I Gusti Ngurah Antaryama Ibnu Widiyanto Ibrahim, Muhammad Rivani Imam Nur Sholihin Irfan Ismail Sungkar ISNUGROHO, AWING Jatmiko Endro Suseno Jayawarsa, A.A. Ketut Juwanda, Farikhin Kemas Muhammad Gemilang Khairunnas Rajab Kholidah Kholidah, Kholidah Leni Pamularsih Lulus Darwati, Lulus Mardona Siregar Meilia Kusumawardani, Meilia Moch. Abdul Mukid Muhammad Akhir Siregar Muhammad Nugroho Karim Amrulllah Muhammad Nur Mustafa, Mustafa Nathasa Erdya Kristy Nesari Nesari Nida Adelia Nova Delvia Nurul Fitria Fitria Rizani Oky Dwi Nurhayati Pipin Widyaningsih Prihati Prihati Puananndini, Dewi Asri Puspita Ayu Utami Puspita Kartikasari Putra, Firman Surya Putranto, Aldi Satya Qurtubi, Achmad Napis R Rizal Isnanto Radian Lukman Rangkuti, Nuraini Ratna Kencana Putri Redemtus Heru Tjahjana Rezky Dwi Hanifa Ririn Sulpiani Rita Rahmawati Rita Rahmawati Rizaldy Khair Rizky Parlika, Rizky Rosmiati Rosmiati Rukun Santoso Satriyo Adhy Silvia Julietty Sinaga Sinta Tridian Galih Siregar, Mardona Sobhan, Sobhan Sri Mulyani Stevanus Sandy Prasetyo Sudarno Sudarno Sudarno Sudarno Sugito Sugito Sulastri Sulastri Sumper Mulia Harahap, Sumper Mulia Suparti Suparti Supriyono Supriyono Suryono Suryono Syamsul Arifin Tarno Tarno Tatik Widiharih Thalita, Indah Tri Ernayanti Triastuti Wuryandari U.S, Supardi Udi Harmoko Windy Rohalidyawati Wulandari, Heni Dwi Yennylawati, Eng Yudie Irawan Yundari, Yundari Zega, Nesty Novita Sari