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ANALISIS REGRESI

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Deskripsi matakuliah
Mempelajari :
Analisis regresi linear sederhana
Analisis regresi linear berganda
Asumsi-asumsi dalam regresi
Estimasi koefisien dan persamaan regresi
Inferensi dan interpretasi dalam regresi
Analisis variansi pada regresi
Pendekatan matriks dalam analisis regresi
Jumlah kuadrat ekstra
Analisis korelasi
Regresi lain (regresi polinomial, regresi
dummy,regresi logistik, regresi PLS)













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Referensi
Neter, John. 1990. Applied Linear Statistical Models :
Regression, Analysis of Variance, and Experimental
Design . Irwin : Boston
Model linier terapan I dan II (terjemahan)
Sumantri, B. (1997). Model Linear Terapan, Buku I.
Jurusan Statistika: FMIPA IPB
Sumantri, B. (1997). Model Linear Terapan, Buku II.
Jurusan Statistika: FMIPA IPB
Myers, R.H. (1996). Classical and Modern Regression with

Applications. Boston : PWS-KENT Publishing Company
Sembiring. (1995). Analisis Regresi , Bandung : ITB

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Kontrak perkuliahan

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Intro…
Why study statistics?
Make decision without complete informations
Understanding population, sample
Parameter, statistic
Descriptive and inferential statistics

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glossary
A population is the collection of all items of interest or

under investigation
N represents the population size

A sample is an observed subset of the population
n represents the sample size

A parameter is a specific characteristic of a population
Mean, Variance, Standard Deviation, Proportion, etc.

A statistic is a specific characteristic of a sample
Mean, Variance, Standard Deviation, Proportion, etc.

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Population vs. Sample
Population
a b

Sample


cd
b

ef gh i jk l m n

gi

o p q rs t u v w
x y

c

o

z

n
r

u


y

Values calculated using
population data are called
parameters

Values computed from sample
data are called statistics
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Examples of Populations
Incomes of all families living in yogyakarta
All women with pregnancy problem.
Grade point averages of all the students in your
university


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Random sampling
Simple random sampling is a procedure in which

each member of the population is chosen
strictly by chance,
each member of the population is equally
likely to be chosen, and
every possible sample of n objects is
equally likely to be chosen
The resulting sample is called a random sample
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Descriptive and Inferential Statistics

Two branches of statistics:
Descriptive statistics
Collecting, summarizing, and processing data to
transform data into information

Inferential statistics

Provide the bases for predictions, forecasts, and
estimates that are used to transform information
into knowledge and decision

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Descriptive Statistics
Collect data
e.g., Survey

Present data
e.g., Tables and graphs

Summarize data
e.g., Sample mean =

�X
n

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i

Inferential Statistics
Estimation
e.g., Estimate the population mean
weight using the sample mean
weight
Hypothesis testing
e.g., Test the claim that the
population mean weight is 120
pounds

Inference is the process of drawing conclusions or making decisions about a
population based on sample results
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The Decision Making Process
Decision


Knowledge

Experience, Theory,
Literature, Inferential
Statistics, Computers

Information
Descriptive Statistics,
Probability, Computers

Begin Here:
Identify the
Problem

Data

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Independent and Dependent
Variable

Example case:
A real estate agent wishes to examine the
relationship between the selling price of a house
($1000s) and its size(measured in square feets)
Dependent variable (Y) = house price in $1000s
Independent variable (X) = house’size
Dependent variable : response variable
Independent variable : predictor variable
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Sample Data for House
Price Model
House Price in $1000s
(Y)
245
312
279
308
199
219

405
324
319
255

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Square feets
(X)
1400
1600
1700
1875
1100
1550
2350
2450
1425
1700

Scatter plot

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Graphical Presentation
House price model: scatter plot and
regression line
Slope
= 0.10977

Intercept
= 98.248

house price 98.24833  0.10977 (square feets)
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Bagaimana mendapatkan
persamaan garis regresi ?
Next
Bawa kalkulator setiap perkuliahan regresi

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