SME_8e_Ch_18_Section_1 - 1 CHAPTER 18 SECTION 1: MODEL...

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Unformatted text preview: 1 CHAPTER 18 SECTION 1: MODEL BUILDING MULTIPLE CHOICE 1. The model y = + 1 x 1 + 2 x 2 + 3 x 1 x 2 + 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 = + 1 x + 2 x 2 +.........+ p x p + is referred to as a polynomial model with: a. one predictor variable. b. p predictor variables. c. ( p + 1) predictor variables. d. x predictor variables. ANS: A PTS: 1 REF: SECTION 18.1 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 ? a. 3 and 5 b. 5 and 3 c. 6 and 3 d. 3 and 6 ANS: C PTS: 1 REF: SECTION 18.1 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: a. 56 b. 22 c. 50 d. An amount that depends on the value of x 2 ANS: B PTS: 1 REF: SECTION 18.1 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 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: a. predicted value of y for any positive value of x . b. predicted value of y when x = 2. c. estimated change in y when x increases by 1 unit . d. intercept where the response surface strikes the x-axis. ANS: B PTS: 1 REF: SECTION 18.1 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: a.- 5 b. +5 c. 10 d.- 10 ANS: D PTS: 1 REF: SECTION 18.1 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: a. 92 b. 85 c. 20 d. an amount that depends on the value of x 1 . ANS: C PTS: 1 REF: SECTION 18.1 9. For the following regression equation y 8 = 10 + 3 x 1 + 4 x 2 , a unit increase in x 2 increases the value of y on average by: a. 4 b. 7 c. 17 d. an amount that depends on the value of x 1 ....
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This note was uploaded on 09/28/2010 for the course FINOPMGT 250 taught by Professor Kumar during the Spring '10 term at University of Massachusetts Boston.

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SME_8e_Ch_18_Section_1 - 1 CHAPTER 18 SECTION 1: MODEL...

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