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SME_8e_Ch_18_Section_1 - CHAPTER 18 SECTION 1 MODEL...

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1 CHAPTER 18 SECTION 1: MODEL BUILDING MULTIPLE CHOICE 1. The model y = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 1 x 2 + ε is referred to as a: a. first-order model with two predictor variables with no interaction. b. first-order model with two predictor variables with interaction. c. second-order model with three predictor variables with no interaction. d. second-order model with three predictor variables with interaction. ANS: B PTS: 1 REF: SECTION 18.1 2. The model y = β 0 + β 1 x + β 2 x 2 + ......... + β p x p + ε is referred to as a polynomial model with: 3. For the following regression equation y 8 = 20 + 8 x 1 + 5 x 2 + 3 x 1 x 2 , which combination of x 1 and x 2 , respectively, results in the largest average value of y ? 4. For the following regression equation y 8 = 50 + 10 x 1 - 4 x 2 - 6 x 1 x 2 , a unit increase in x 2 , while holding x 1 constant at a value of 3, decreases the value of y on average by: 5. Suppose that the sample regression line of the first-order model is y 8 = 8 + 2 x 1 + 3 x 2 . If we examine the relationship between y and x 1 for four different values of x 2 , we observe that the: a. effect of x 1 on y remains the same no matter what the value of x 2 . b. effect of x 1 on y remains the same no matter what the value of x 1 . c. only difference in the four equations produced is the coefficient of x 2 . d. Cannot answer this question without more information. ANS: A PTS: 1 REF: SECTION 18.1
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2 6. Suppose that the sample regression equation of a second-order model is given by y 8 = 2.50 + 0.15 x + 0.45 x 2 . Then, the value 4.60 is the: 7. For the following regression equation y 8 = 75 + 20 x 1 - 15 x 2 + 5 x 1 x 2 , a unit increase in x 2 , while holding x 1 constant at 1, changes the value of y on average by: 8. For the following regression equation y 8 = 100 - 12 x 1 + 5 x 2 - 4 x 1 x 2 , a unit increase in x 1 , while holding x 2 constant at a value of 2, decreases the value of y on average by:
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