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lecture19

# lecture19 - LECTURE XIX STAT 515 April 1 2010 University of...

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LECTURE XIX STAT 515 April 1, 2010 University of South Carolina Lecture 19 – p.1

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Simple linear regression Deterministic model vs Probabilistic model Simple regression model (first coined by Francis Galton ) is about the relationship of two variables in the population. say, Height vs IQ index Here is a more interesting example, it is known that the response time to certain stimulus is related to the percentage of a certain drug in the bloodstream. One may believe this relationship is deterministic, but after some careful thinking, you may change your mind. Given a certain percentage of the drug, there may still be some variability in the response time, either due to some other hidden causes, or just simply to individual difference. Lecture 19 – p.2
The simple linear regression model So we shall be mostly interested in the mean of certain variable, given the other variable. In statistics, you may often hear response variable and predictors. In symbols, y = 1 . 5 x + Random error A first-order probabilistic model y = β 0 + β 1 x + ε where y = Dependent or response variable, x = Independent or predictor variable.

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lecture19 - LECTURE XIX STAT 515 April 1 2010 University of...

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