Prayusta, Bayu Dewanda Setyabudi (2017) Kajian Analisis Regresi Polinomial Derajat Dua Berkelompok. Sarjana thesis, Universitas Brawijaya.
Abstract
Analisis regresi memodelkan hubungan fungsional antara peubah respon dengan peubah prediktor. Tidak jarang peubah prediktor bersifat kuantitatif maupun kualitatif yang berbentuk kelompok atau tingkatan. Analisis regresi polinomial derajat dua berkelompok digunakan untuk memodelkan hubungan antara peubah respon dan peubah prediktor kuantitatif dan kualitatif di mana data cenderung membentuk kurva kuadratik. Peubah prediktor kualitatif sebagai peubah boneka disandikan 0 dan 1. Tiga model regresi yang dibentuk yaitu model regresi polinomial (2) menggunakan interaksi antara tinggi tanaman dan tinggi tanaman2 dengan lokasi, model regresi polinomial (2) menggunakan interaksi antara tinggi tanaman dengan lokasi dan model regresi polinomial (2) menggunakan interaksi antara tinggi tanaman2 dengan lokasi. Perbedaan model terletak pada letak peubah boneka, pembentukan matriks pada metode kuadrat terkecil dan interaksi antar peubah prediktor. Berdasarkan data sekunder diketahui bahwa interaksi pada tinggi tanaman (cm) dan lokasi tanam (Luwu Timur dan Pinrang) berpengaruh terhadap bobot gabah kering giling (ton/ha). Merujuk pada hasil analisis diperoleh model yang sesuai yaitu
English Abstract
Regression analysis models the functional relationship between response variable and predictor variable. Predictor variable are sometimes quantitative or qualitative in terms of group levels. Polynomial (2) regression analysis by group is used to model the relationship between response variable and predictor variable qualitative or quantitative which has quadratic data pattern. Qualitative predictor variables as dummy variables are coded as 0 and 1. Three group of polynomial regression models were applied to data: polynomial (2) interaction between height and height2 with location, polynomial (2) interaction between height with location and polynomial (2) interaction between and height2 with location. The difference of models lies in locating of dummy variable, the formation of the matrix on the ordinary least square and the interactions between predictor variables. Based on secondary data, it were found out that height (cm) and planting location (Luwu Timur and Pinrang) affect the production of hull (ton/ha). Based on analysis an appropriate model is
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/FMIPA/2017/305/051706457 |
| Uncontrolled Keywords: | Regresi Polinomial (2), Berkelompok, Peubah Boneka, Interaksi |
| Subjects: | 500 Natural sciences and mathematics > 519 Probabilities and applied mathematics > 519.5 Statistical mathematics > 519.53 Descriptive statistics, multivariate analysis, analysis of variance and covariance > 519.536 Regression analysis |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Statistika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 23 Oct 2017 01:36 |
| Last Modified: | 23 Nov 2021 07:44 |
| URI: | http://repository.ub.ac.id/id/eprint/4129 |
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