Section 31 Multiple Linear Regression: Multiple Variables
31.1 Statistical Model
\[ \large y_{i} = \beta_0 + \beta_1 x_{1i} + \beta_2 x_{2i} + ... + \beta_p x_{pi} + \epsilon_{i} \]
31.3 Important Questions
Are BMI, Age and other predictors useful to predict SBP?
What are the magnitude and direction of these effects?
How strong are the evidence?
Are there other predictors to explain the variability in SBP?
How many predictors will be useful to predict SBP?
How do we develop the model?
How to decide for predictors to be incorporated in the model?