analisis statistika (stk511) · 09-10-2019 · analisis regresi (simple linear regression) in many...
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Dr. Kusman Sadik, M.Si
Sekolah Pascasarjana Departemen Statistika IPB
Semester Ganjil 2019/2020
Analisis Statistika (STK511)
IPB University─ Bogor Indonesia ─ Inspiring Innovation with Integrity
Analisis Regresi (Simple Linear Regression)
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In many investigations, two or more variables are
observed for each experimental unit in order to
determine:
1. Whether the variables are related.
2. How strong the relationships appear to be.
3. Whether one variable of primary interest can be
predicted from observations on the others.
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Regression analysis concerns the study of
relationships between quantitative variables with
the object of identifying, estimating, and validating
the relationship.
The estimated relationship can then be used to
predict one variable from the value of the other
variable(s).
Studies of relation among variables abound in
virtually all disciplines of science and the
humanities.3
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A regression problem involving a single predictor
(also called simple regression) arises when we
wish to study the relation between two variables
x and y and use it to predict y from x.
The variable x acts as an independent variable
whose values are controlled by the
experimenter.
The variable y depends on x and is also
subjected to unaccountable variations or errors.
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x = variabel bebas, variabel penjelas, variabel input
y = variabel tidak bebas, variabel respon
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β0 : Nilai Y pada saat x bernilai 0.
Perhatikan, pada beberapa keadaan,
parameter ini tidak bisa diinterpretasikan.
Mengapa?
β1 : Besarnya perubahan y apabila x berubah
sebesar satu satuan unit
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Sum of Squares due to Error (SSE) ---- Jumlah Kuadrat Galat (JKG)
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s = 2.821
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The regression equation is
y = - 1,07 + 2,74 x
Predictor Coef SE Coef T P
Constant -1,071 2,751 -0,39 0,707
x 2,7408 0,4411 6,21 0,000
S = 2,82074 R-Sq = 82,8% R-Sq(adj) = 80,7%
Analysis of Variance
Source DF SS MS F P
Regression 1 307,25 307,25 38,62 0,000
Residual Error 8 63,65 7,96
Total 9 370,90
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Ilustrasi: Lihat Johnson, Example 9, hl.464
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Selesaikan soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban Anda pada No.1 di
atas.
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Selesaikan soal ini menggunakan Minitab, kemudian bandingkan
hasilnya dengan jawaban Anda pada No.4 di atas.
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Pustaka
Johnson, R.A. and Bhattacharyya, G.K. 2010.
Statistics, Principles and Methods 6th. John Wiley
& Sons, Inc., New York.
Montgomery, D.C. 2013. Design and Analysis of
Experiments 8th. John Wiley & Sons, Inc., Canada.
Pustaka lain yang relevan.
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Bisa di-download di
kusmansadik.wordpress.com
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Terima Kasih
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