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)

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

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.

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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Terima Kasih

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