# OSU BUSMGT 2320 - statistics (36 pages)

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- Pages:
- 36
- School:
- Ohio State University
- Course:
- Busmgt 2320 - Decision Sciences: Statistical Techniques

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Model Building 721 CHAPTER 19 MODEL BUILDING SECTIONS 1 MULTIPLE CHOICE QUESTIONS In the following multiple choice questions please circle the correct answer 1 The model y 0 1 x1 2 x 2 3 x1 x 2 is referred to as 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 ANSWER b 2 2 p The model y 0 1 x 2 x p x 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 ANSWER a 3 For the following regression equation y 20 8 x1 5 x 2 3x1 x 2 which combination of x1 and x 2 respectively results in the largest average value of y a 3 and 5 722 Chapter Nineteen b 5 and 3 c 6 and 3 d 3 and 6 ANSWER c 4 Which of the following statements is false regarding the graph of the third order polynomial model y b0 b1 x b2 x 2 b3 x 3 e a When b3 is negative y decreases over the range of x b When b3 is positive y increases over the range of x c The number of real life applications of this model is quite large Statistics practitioners often encounter problems involving more than one curvature reversal d The coefficients b1 and b2 determine the position of the curvature changes while the coefficient b0 determines the point at which the curve interacts the y axis ANSWER c 5 For the following regression equation y 50 10 x1 4 x 2 6 x1 x 2 a unit increase in x 2 while holding x1 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 ANSWER b 6 Suppose that the sample regression line of the first order model is y 8 2 x1 3 x 2 If we examine the relationship between y and x1 for four different values of x2 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

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