This chapter contains sections titled: Linear Regression Polynomial Approximations to Elementary Functions Polynomial Regression Fitting a Mechanistic Model to Data Linear Regression after Transformation Prediction following Regression Testing for Lack of Fit in a Regression with Replicated Data at Each Level of x Bootstrap with Regression Jackknife with regression Jackknife after Bootstrap Serial correlation in the residuals Piecewise Regression Robust Fitting of Linear Models Model Simplification The Multiple Regression Model