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Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010 STAT 100 1

Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

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Jan 12, 2010STAT 1003 Theory of Smoothing Smoothing amplifies signal but introduces bias by cutting off peaks and valleys

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Page 1: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Using Graphs for Information Extraction

Gasoline Consumption Example

Jan 12, 2010 STAT 100 1

Page 2: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Jan 12, 2010 STAT 100 2

Gasoline Consumption

Each Fill - record kms and litres of fuel used

Smooth--->SeasonalPattern

Page 3: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Jan 12, 2010 STAT 100 3

Theory of Smoothing

Smoothing amplifies signal but introduces bias

by cutting off peaks and valleys

Page 4: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Jan 12, 2010 STAT 100 4

Illustration of Effect – Artificial Data

Page 5: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Jan 12, 2010 STAT 100 5

Intro to smoothing with context …

Page 6: Using Graphs for Information Extraction Gasoline Consumption Example Jan 12, 2010STAT 1001

Jan 12, 2010 STAT 100 6

Suggests follow-up

1. How do you choose the amount of smoothing to produce useful information?

2. Why does a seasonal pattern occur?