Applied Statistics and Probability for Engineers

12-2 HYPOTHESIS TESTS IN MULTIPLE LINEAR REGRESSION 431 relationship found is an appropriate model for predicting pull strength ...

432 CHAPTER 12 MULTIPLE LINEAR REGRESSION If H 0 : j0 is not rejected, this indicates that the regressor xjcan be deleted from ...

12-2 HYPOTHESIS TESTS IN MULTIPLE LINEAR REGRESSION 433 The main diagonal element of the matrix corresponding to is C 22 0.0000 ...

434 CHAPTER 12 MULTIPLE LINEAR REGRESSION For the full model(including both  1 and  2 ), we know that In addition, the regress ...

12-2 HYPOTHESIS TESTS IN MULTIPLE LINEAR REGRESSION 435 EXAMPLE 12-5 Consider the wire bond pull strength data in Example 12-1. ...

436 CHAPTER 12 MULTIPLE LINEAR REGRESSION 12-13. Consider the regression model fit to the soil shear strength data in Exercise 1 ...

12-3 CONFIDENCE INTERVALS IN MULTIPLE LINEAR REGRESSION 437 12-3 CONFIDENCE INTERVALS IN MULTIPLE LINEAR REGRESSION 12-3.1 Confi ...

438 CHAPTER 12 MULTIPLE LINEAR REGRESSION 12-3.2 Confidence Interval on the Mean Response We may also obtain a confidence interv ...

12-4 PREDICTION OF NEW OBSERVATIONS 439 The estimated mean response at this point is found from Equation 12-35 as The variance o ...

440 CHAPTER 12 MULTIPLE LINEAR REGRESSION the point x 0. This must include the error in estimating the mean at that point, as we ...

12-5 MODEL ADEQUACY CHECKING 441 EXERCISES FOR SECTIONS 12-3 AND 12-4 12-26. Consider the soil absorption data in Exercise 12-2. ...

442 CHAPTER 12 MULTIPLE LINEAR REGRESSION Figure 12-7 Plot of residuals against yˆ. helpful to plot the residuals against variab ...

12-5 MODEL ADEQUACY CHECKING 443 Either the relationship between strength and wire length is not linear (requiring that a term i ...

444 CHAPTER 12 MULTIPLE LINEAR REGRESSION Under the usual assumptions that the model errors are independently distributed with m ...

12-5 MODEL ADEQUACY CHECKING 445 We would like to examine the influential points to determine whether they control many model pr ...

446 CHAPTER 12 MULTIPLE LINEAR REGRESSION EXERCISES FOR SECTION 12-5 12-36. Consider the regression model for the NFL data in Ex ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 447 12-43. In Exercise 12-24 we fit a model to the response PITCH in the heat treat ...

448 CHAPTER 12 MULTIPLE LINEAR REGRESSION We will fit the model The yvector, Xmatrix, and vector are as follows: Solving the no ...

12-6 ASPECTS OF MULTIPLE REGRESSION MODELING 449 In fitting polynomials, we generally like to use the lowest-degree modelconsist ...

450 CHAPTER 12 MULTIPLE LINEAR REGRESSION 12-6.2 Categorical Regressors and Indicator Variables The regression models presented ...