Applied Statistics and Probability for Engineers

12-1 MULTIPLE LINEAR REGRESSION MODEL 411 Assess regression model adequacy Test hypotheses and construct confidence intervals o ...

412 CHAPTER 12 MULTIPLE LINEAR REGRESSION In general, the dependent variableor responseYmay be related to kindependentor regress ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 413 and the corresponding two-dimensional contour plot. Notice that, although this model i ...

414 CHAPTER 12 MULTIPLE LINEAR REGRESSION These plots indicate that the expected change in Ywhen x 1 is changed by one unit (say ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 415 regression coefficients, The normal Equations can be solved by any method appropriate ...

416 CHAPTER 12 MULTIPLE LINEAR REGRESSION For the model Y 0  1 x 1  2 x 2 , the normal Equations 12-10 are Inserting the ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 417 12-1.3 Matrix Approach to Multiple Linear Regression In fitting a multiple regression ...

418 CHAPTER 12 MULTIPLE LINEAR REGRESSION Note that there are pk1 normal equations in pk1 unknowns (the values of Furthermor ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 419 to fit the regression model above to these data. The Xmatrix and yvector for this mode ...

420 CHAPTER 12 MULTIPLE LINEAR REGRESSION or Therefore, the fitted regression model with the regression coefficients rounded to ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 421 Computers are almost always used in fitting multiple regression models. Table 12-4 pre ...

422 CHAPTER 12 MULTIPLE LINEAR REGRESSION which is symmetric (C 10 C 01 ,C 20 C 02 , and C 21 C 12 ) because (XX)^1 is symm ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 423 The slope estimate is about twice the magnitude of its standard error, and are conside ...

424 CHAPTER 12 MULTIPLE LINEAR REGRESSION Table 12-5 National Football League 1976 Team Performance Team yx 1 x 2 x 3 x 4 x 5 x ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 425 Table 12-6 Gasoline Mileage Performance for 25 Automobiles Automobile yx 1 x 2 x 3 x 4 ...

426 CHAPTER 12 MULTIPLE LINEAR REGRESSION (c) Compute the standard errors of the regression coefficients. (d) Predict power cons ...

12-1 MULTIPLE LINEAR REGRESSION MODEL 427 (SOAKPCT, SOAKTIME), and carbon concentration and duration of the diffuse cycle (DIFFP ...

428 CHAPTER 12 MULTIPLE LINEAR REGRESSION 12-2 HYPOTHESIS TESTS IN MULTIPLE LINEAR REGRESSION In multiple linear regression prob ...

12-2 HYPOTHESIS TESTS IN MULTIPLE LINEAR REGRESSION 429 We should reject H 0 if the computed value of the test statistic in Equa ...

430 CHAPTER 12 MULTIPLE LINEAR REGRESSION A computational formula for SSRmay be found easily. Now since we may rewrite Equation ...