Chapter 15 questions and solutions (1)

Chapter 15 questions and solutions (1) - CHAPTER Fifteen...

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CHAPTER Fifteen MULTIPLE REGRESSION MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, circle the correct answer. 1. A multiple regression model has the form Y = 5 + 6X + 7W As X increases by 1 unit (holding W constant), Y is expected to a. increase by 11 units b. decrease by 11 units c. increase by 6 units d. decrease by 6 units Answer: c 31. For a multiple regression model, SST = 200 and SSE = 50. The multiple coefficient of determination is a. 0.25 b. 4.00 c. 250 d. 0.75 Answer: d 32. In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 120 and SSE = 42. The coefficient of determination is a. 0.81 b. 0.11 c. 0.35 d. 0.65 Answer: d Exhibit 15-1 1
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2 Chapter Fifteen Below you are given a partial Minitab output based on a sample of 25 observations. Coefficient Standard Error Constant 145.321 48.682 X 1 25.625 9.150 X 2 -5.720 3.575 X 3 0.823 0.183 1. Refer to Exhibit 15-1. The estimated regression equation is a. Y = β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 + ε b. E(Y) = β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 c. Y = 145.321 + 25.625X 1 - 5.720X 2 + 0.823X 3 d. Y = 48.682 + 9.15X 1 + 3.575X 2 + 0.183X 3 Answer: c 2. Refer to Exhibit 15-1. The interpretation of the coefficient on X 1 is that a. a one unit change in X 1 will lead to a 25.625 unit change in Y b. a one unit change in X 1 will lead to a 25.625 unit increase in Y when all other
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Chapter 15 questions and solutions (1) - CHAPTER Fifteen...

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