Applied Statistics and Probability for Engineers

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 451 which is a straight-line model with slope  1 and intercept. Thus, the model im ...

452 CHAPTER 12 MULTIPLE LINEAR REGRESSION The analysis of variance for this model is shown in Table 12-15. Note that the hypothe ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 453 regressors from a set that quite likely includes all the important variables, b ...

454 CHAPTER 12 MULTIPLE LINEAR REGRESSION We use the mean square error from the full K1 term model as an estimate of ^2 ; that ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 455 x 1 clarity to the previous three regressors, results in maximum R^2 adj(or mi ...

456 CHAPTER 12 MULTIPLE LINEAR REGRESSION Table 12-17 Minitab All Possible Regressions Output for the Wine Quality Data Best Sub ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 457 These models should now be evaluated further using residuals plots and the othe ...

458 CHAPTER 12 MULTIPLE LINEAR REGRESSION type I error rates) in several different runs to see if this substantially affects the ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 459 Backward Elimination The backward eliminationalgorithm begins with all Kcandida ...

460 CHAPTER 12 MULTIPLE LINEAR REGRESSION often be used. One way to avoid this problem is to use several different model-buildin ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 461 Multicollinearity arises for several reasons. It will occur when the analyst co ...

462 CHAPTER 12 MULTIPLE LINEAR REGRESSION (d) Compute the residuals from part (a) and use them to eval- uate model adequacy. 12- ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 463 (c) Forward selection. (d) Backward elimination. (e) Comment on the various mod ...

464 CHAPTER 12 MULTIPLE LINEAR REGRESSION (b) Use the t-statistic to test H 0 : j 0 versus H 1 : j 0 for each variable in th ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 465 Table 12-20 Observation Number yx 1 x 2 x 3 x 4 x 5 x 6 1 4540 2140 20640 30250 ...

466 CHAPTER 12 MULTIPLE LINEAR REGRESSION 12-69. Consider the jet engine thrust data in Exercise 12-64. (a) Use all possible reg ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 467 MIND-EXPANDING EXERCISES IMPORTANT TERMS AND CONCEPTS In the E-book, click on a ...

12-2.3 More about the Extra Sum of Squares Method (CD Only) The extra sum of squares method for evaluating the contribution of o ...

12-2 Now and so Therefore, this is an equivalent way to write the extra sum of squares. 12-6.5 Ridge Regression (CD Only) Since ...

12-3 The data will be coded by defining a new set of scaled regressor variables as where is the corrected sum of squares of the ...