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Unformatted text preview: 220 Multiple Regression Models CHAPTER 14: INTRODUCTION TO MULTIPLE REGRESSION 1. In a multiple regression problem involving two independent variables, if b 1 is computed to be +2.0, it means that a) the relationship between X 1 and Y is significant. b) the estimated average of Y increases by 2 units for each increase of 1 unit of X 1 , holding X 2 constant. c) the estimated average of Y increases by 2 units for each increase of 1 unit of X 1 , without regard to X 2 . d) the estimated average of Y is 2 when X 1 equals zero. ANSWER: b TYPE: MC DIFFICULTY: Easy KEYWORDS: slope, interpretation 2. The coefficient of multiple determination r 2 Y .12 a) measures the variation around the predicted regression equation. b) measures the proportion of variation in Y that is explained by X 1 and X 2 . c) measures the proportion of variation in Y that is explained by X 1 holding X 2 constant. d) will have the same sign as b 1 . ANSWER: b TYPE: MC DIFFICULTY: Easy KEYWORDS: coefficient of multiple determination, interpretation 3. In a multiple regression model, the value of the coefficient of multiple determination a) has to fall between 1 and +1. b) has to fall between 0 and +1. c) has to fall between 1 and 0. d) can fall between any pair of real numbers. ANSWER: b TYPE: MC DIFFICULTY: Easy KEYWORDS: coefficient of multiple determination, properties 4. In a multiple regression model, which of the following is correct regarding the value of the adjusted 2 r ? a) It can be negative. b) It has to be positive. c) It has to be larger than the coefficient of multiple determination. d) It can be larger than 1. ANSWER: a TYPE: MC DIFFICULTY: Moderate 221 Multiple Regression Models KEYWORDS: adjusted rsquare, properties TABLE 141 A manager of a product sales group believes the number of sales made by an employee ( Y ) depends on how many years that employee has been with the company ( X 1 ) and how he/she scored on a business aptitude test ( X 2 ). A random sample of 8 employees provides the following: Employee Y X 1 X 2 1 100 10 7 2 90 3 10 3 80 8 9 4 70 5 4 5 60 5 8 6 50 7 5 7 40 1 4 8 30 1 1 5. Referring to Table 141, for these data, what is the value for the regression constant, b ? a) 0.998 b) 3.103 c) 4.698 d) 21.293 ANSWER: d TYPE: MC DIFFICULTY: Moderate KEYWORDS: intercept, estimation 6. Referring to Table 141, for these data, what is the estimated coefficient for the variable representing years an employee has been with the company, b 1 ? a) 0.998 b) 3.103 c) 4.698 d) 21.293 ANSWER: b TYPE: MC DIFFICULTY: Moderate KEYWORDS: slope, estimation 7. Referring to Table 141, for these data, what is the estimated coefficient for the variable representing scores on the aptitude test, b 2 ?...
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 Fall '07
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