To perform residual analysis, follow these steps: 1. Fit the Model: Use an appropriate statistical model to predict the outcome of interest based on explanatory variables. 2. Calculate Residuals: Compute the residuals for each observation. 3. Plot Residuals: Create various plots such as residual vs. fitted values, residuals vs. each predictor variable, and Q-Q plots. 4. Interpret the Plots: Examine the plots for any discernible patterns or deviations from assumptions.