Lecture28_HH_PPTX - COMM 291 Applications of Statistics in Lecture edit Click to 28 Master subtitle style Section 201 M/W/F 10:00-11:00 1 1 The

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Click to edit Master subtitle style 5/10/10 Lecture 28 Section 201 M/W/F 10:00-11:00 COMM 291 Applications of Statistics in 1 1
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5/10/10 The Population and the Sample 2 2 § Chapter 8: We can model relationships by fitting a straight line to a sample of ordered pairs. § But, observation s differ from sample to sample: 0 1 ˆ y b b x = + 1 0,1 1,1 2 0,2 2 1,2 1 ˆ sample 1 ˆ sam ˆ ˆ Lines and are not necessarily the same ple . 2 y b b x y y b b x y = + = +
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5/10/10 The Population and the Sample 3 3 § We can imagine a true line that summarizes the relationship between x and y for the entire population , where l y is the population mean of y at a given value of x . NOTE: We are assuming an idealized case in which the points ( x , y ) are in fact exactly linear . 0 1 y x μ β = +
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5/10/10 The Population and the Sample 4 4 § For a given value x : § The value ŷ ( x ) obtained from a particular sample may not lie on the line µy . § The sampled ŷ s will be distributed about µy . § We can account for the error between ŷ and µy by adding the error l : 0 1 y x β ε = + +
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5/10/10 The Population and the Sample 5 5 § Regression Inference § Collect a sample and estimate the population o ’s by finding a regression line (Chapter 8): § The residuals e = y – ŷ are the sample
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This note was uploaded on 04/29/2010 for the course COMM 291 taught by Professor E.fowler during the Spring '10 term at The University of British Columbia.

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Lecture28_HH_PPTX - COMM 291 Applications of Statistics in Lecture edit Click to 28 Master subtitle style Section 201 M/W/F 10:00-11:00 1 1 The

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