ST512 Topic 2 - Multiple linear regression

ST512 Topic 2 - Multiple linear regression - ST512 Topic 2...

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ST512 Topic 2: Multiple linear regression © K. Gross, 2009 p. 1 Topic 2. Multiple linear regression (MLR) Reading in QK: Section 6.1 Motivation : Just as SLR was used to characterize the relationship between a single predictor and a response, multiple linear regression (MLR) can be used to characterize the relationship between several predictors and a response. Example : BAC data. We also know each individual’s weight and gender: BAC weight gender beers 0.1 132 female 5 0.03 128 female 2 0.19 110 female 9 0.12 192 male 8 ... An SLR shows that there is an effect of weight on BAC also: To simultaneously characterize the effect that the variables “beers” and “weight” have on BAC, we might want to entertain a model with both predictors. In words, the model is BAC = intercept + (parameter associated with beers) * beers + (parameter associated with weight) * weight + error 150 200 250 0.05 0.10 0.15 weight BAC
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