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F15-IntroductoryMLR

F15-IntroductoryMLR - PubH 7405 REGRESSION ANALYSIS...

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PubH 7405: REGRESSION ANALYSIS INTRODUCTORY MULTIPLE REGRESSION
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SIMPLE LINEAR REGRESSION The method we have learned so far is called SIMPLE LINEAR REGRESSION ” ( & simple correlation). It’s “ linear because we assume that the relationship is represented by a straight line. It’s “ simple because it only allows us to investigate the role of “ one predictor at a time” (& its effect on the response).
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Most of the times, we have more than just two measurements ; may be only one “Response” but many Predictors at least many “ Potential Predictors ”. Then you could ask why predicting the response from just one predictor? Or, if there are more than one predictors, then which predictor? Or which would be the most valuable one? Can we take advantage of their availability to use them all?
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In a study of Lung Health using FEV (Forced Expiratory Volume) as the Outcome or Response Variable, we could investigate the role of Age, Height, and Weight, etc… as potential predictors .
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In investigating “ severity ” of prostate cancer, potential predictors include age at diagnosis and level of serum acid phosphatase, X-ray reading , grade (pathology reading of a biopsy of the tumor obtained by needle), and stage (a rough measure of the size and location of the tumor obtained by palpation with fingers via the rectum).
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