Introduction to Linear Regression Analysis. Douglas C. Montgomery

href="#ulink_1719156e-a35f-557a-8bd8-406091d0c0c1">D.3 IMPORTING DATA FROM AN EXCEL FILE D.4 OUTPUT COMMAND D.5 LOG FILE D.6 ADDING VARIABLES TO AN EXISTING SAS DATA SET

      25  APPENDIX E: INTRODUCTION TO R TO PERFORM LINEAR REGRESSION ANALYSIS E.1 BASIC BACKGROUND ON R E.2 BASIC DATA ENTRY E.3 BRIEF COMMENTS ON OTHER FUNCTIONALITY IN R E.4 R COMMANDER

      26  REFERENCES

      27  INDEX

      28  WILEY SERIES IN PROBABILITY AND STATISTICS

      29  END USER LICENSE AGREEMENT

      List of Illustrations

      1 Chapter 1Figure 1.1 (a) Scatter diagram for delivery volume. (b) Straight-line relation...Figure 1.2 How observations are generated in linear regression.Figure 1.3 Linear regression approximation of a complex relationship.Figure 1.4 Piecewise linear approximation of a complex relationship.Figure 1.5 The danger of extrapolation in regression.Figure 1.6 Acetone–butyl alcohol distillation column.Figure 1.7 The designed experiment for the distillation column.Figure 1.8 Regression model-building process.

      2 Chapter 2Figure 2.1 Scatter diagram of shear strength versus propellant age, Example 2....Figure 2.2 Situations where the hypothesis H₀: β₁ = 0 is not rejected.Figure 2.3 Situations where the hypothesis H₀: β₁ = 0 is rejected.Figure 2.4 The upper and lower 95% confidence limits for the propellant data....Figure 2.5 The 95% confidence and prediction intervals for the propellant data...Figure 2.6 Scatter diagram of satisfaction versus severity.Figure 2.7 JMP output for the simple linear regression model for the patient s...Figure 2.8 JMP output for the model relating team wins to team ERA for the 201...Figure 2.9 Two influential observations.Figure 2.10 A point remote in x space.Figure 2.11 An outlier.Figure 2.12 Scatter diagrams and regression lines for chemical process yield a...Figure 2.13 True relationship between yield and temperature.Figure 2.14 Scatter diagram of shelf-stocking data.Figure 2.15 The confidence and prediction bands for the shelf-stocing data.

      3 Chapter 3Figure 3.1 (a) The regression plane for the model E(y) = 50 + 10x₁ + 7x₂. (b) ...Figure 3.2 (a) Three-dimensional plot of regression model E(y) = 50 + 10x₁ + 7Figure 3.3 (a) Three-dimensional plot of the regression model , (b) The conto...Figure 3.4 Scatterplot matrix for the delivery time data from Example 3.1.Figure 3.5 Three-dimensional scatterplot of the delivery time data from Exampl...Figure 3.6 A geometrical interpretation of least squares.Figure 3.7 A matrix of scatterplots.Figure 3.8 Joint 95% confidence region for β₀ and β₁ for the rocket ...Figure 3.9 JMP output for the multiple linear regression model for the patient...Figure 3.10 JMP output for the model relating team wins to team ERA and team e...Figure 3.11 An example of extrapolation in multiple regression.Figure 3.12 Scatterplot of cases and distance for the delivery time data.Figure 3.13 Data on two regressors.Figure 3.14 (a) A data set with multicollinearity. (b) Orthogonal regressors....Figure 3.15 Sampling distribution of .Figure 3.16 Plot of y versus x₁.

      4 Chapter 4Figure 4.1 Example of a pure leverage point.Figure 4.2 Example of an influential point.Figure 4.3 Normal probability plots: (a) ideal; (b) light-tailed distribution;...Figure 4.4 Normal probability plot of the externally studentized residuals for...Figure 4.5 Patterns for residual plots: (a) satisfactory; (b) funnel; (c) doub...Figure 4.6 Plot of externally studentized residuals versus predicted for the d...Figure 4.7 Plot of externally studentized residuals versus the regressors for ...Figure 4.8 Prototype residual plots against time displaying autocorrelation in...Figure 4.9 Partial regression plots for the delivery time data.Figure 4.10 Plot of xi versus xj.Figure 4.11 Plot of regressor x₁ (cases) versus regressor x₂ (distance for the...Figure 4.12 Plot of externally studentized residuals by site (city) for the de...Figure 4.13 Externally studentized residual plots for the rocket propellant da...Figure 4.14 Residual plots for the rocket propellant data with observations 5 ...Figure 4.15 Data illustrating lack of fit of the straight-line model.Figure 4.16 JMP output for the simple linear regression model relating satisfa...

      5 Chapter 5Figure 5.1 Scatter diagram of the energy demand (kW) versus energy usage (kWh)...Figure 5.2 Plot of R-student values ti versus fitted values , Example 5.1.Figure 5.3 Plot of R-student values ti versus fitted values