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

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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 (frst 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 di±erence. Lecture 19 – p.2
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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 Frst-order probabilistic model y = β 0 + β 1 x + ε where y = Dependent or response variable, x = Independent or predictor variable. Lecture 19 – p.3
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This note was uploaded on 06/06/2011 for the course STAT 515 taught by Professor Zhao during the Spring '10 term at South Carolina.

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

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