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ANALISIS REGRESI opening regression

ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari : Analisis regresi linear sederhana Analisis regresi linear berganda Asumsi-asumsi

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Page 1: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

ANALISIS REGRESI

opening regression

Page 2: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

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)

opening regression

Page 3: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

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

opening regression

Page 4: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Kontrak perkuliahan

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Page 5: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Why study statistics?

Make decision without complete informations

Understanding population, sample

Parameter, statistic

Descriptive and inferential statistics

opening regression

Intro…

Page 6: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

glossaryA population is the collection of all items of interest or

under investigationN represents the population size

A sample is an observed subset of the populationn represents the sample size

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

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

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Page 7: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Population vs. Sample

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a b c d

ef gh i jk l m n

o p q rs t u v w

x y z

Population Sample

b c

g i n

o r u

y

Values calculated using population data are called parameters

Values computed from sample data are called statistics

Page 8: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Examples of PopulationsIncomes of all families living in yogyakarta

All women with pregnancy problem.

Grade point averages of all the students in your university

opening regression

Page 9: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

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

opening regression

Page 10: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Descriptive and Inferential Statistics

Two branches of statistics:

Descriptive statisticsCollecting, summarizing, and processing data to

transform data into information

Inferential statisticsProvide the bases for predictions, forecasts, and

estimates that are used to transform information into

knowledge and decision

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Page 11: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Descriptive Statistics

Collect data

e.g., Survey

Present data

e.g., Tables and graphs

Summarize data

e.g., Sample mean =

opening regression

iX

n

Page 12: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

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

opening regression

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

Page 13: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

The Decision Making Process

opening regression

Begin Here:

Identify the Problem

Data

Information

Knowledge

Decision

Descriptive Statistics,Probability, Computers

Experience, Theory,Literature, InferentialStatistics, Computers

Page 14: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

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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Page 15: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Sample Data for House Price Model

House Price in $1000s(Y)

Square feets (X)

245 1400

312 1600

279 1700

308 1875

199 1100

219 1550

405 2350

324 2450

319 1425

255 1700

opening regression

Page 16: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Scatter plot

opening regression

Page 17: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Graphical Presentation

House price model: scatter plot and regression line

s)f (square 0.10977 98.24833 price house eet

Slope = 0.10977

Intercept = 98.248

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Page 18: ANALISIS REGRESI opening regression. Deskripsi matakuliah Mempelajari :  Analisis regresi linear sederhana  Analisis regresi linear berganda  Asumsi-asumsi

Bagaimana mendapatkan persamaan garis regresi ?Next

Bawa kalkulator setiap perkuliahan regresi

opening regression