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# In a simple linear regression analysis the

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Unformatted text preview: intercept of the regression line D. Correlation coefficient E. Standard error AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 32. In simple regression analysis, the quantity squares. A. Total B. Explained C. Unexplained D. Error E. Standard Error AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Simple Linear Regression 1-1208 is called the __________ sum of Chapter 01 - An Introduction to Business Statistics 33. A simple regression analysis with 20 observations would yield ________ degrees of freedom error and _________ degrees of freedom total. A. 1, 20 B. 18, 19 C. 19, 20 D. 1, 19 E. 18, 20 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Learning Objective: 4 Topic: Simple Linear Regression 34. The correlation coefficient may assume any value between A. 0 and 1 B. -∞ and ∞ C. 0 and 8 D. -1, and 1 E. -1, and 0 AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Learning Objective: 6 Topic: Correlation 1-1209 Chapter 01 - An Introduction to Business Statistics 35. The following results were obtained as a part of simple regression analysis: r2= .9162 F statistic from the F table = 3.59 Calculated value of F from the ANOVA table = 81.87 = .05 p-value = .000 The null hypothesis of no linear relationship between the dependent variable and the independent variable A. is rejected B. cannot be tested with the given information C. is not rejected D. is not an appropriate null hypothesis for this situation AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 8 Topic: Simple Linear Regression 36. In simple regression analysis, if the correlation coefficient is a positive value, then A. The Y intercept must also be a positive value. B. The coefficient of determination can be either positive or negative, depending on the value of the slope. C. The least squares regression equation could either have a positive or a negative slope. D. The slope of the regression line must also be positive. E. The standard error of estimate can either have a positive or a negative value. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Correlation 1-1210 Chapter 01 - An Introduction to Business Statistics 37. In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 is also rejected. This statement is ___________ true. A. Always B. Never C. Sometimes AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 7 Topic: Significance of the slope 38. The following results were obtained from a simple regression analysis: = 37.2895 - (1.2024)X r2= .6744 sb = .2934 For each unit change in X (independent variable), the estimated change in Y (dependent variable) is equal to: A. -1.2024 B. .6774 C. 37.2895 D. .2934 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 1 Topic: Simple Linear Regression 1-1211 Chapter 01 - An Introduction to Business Statistics 39. The following results were obtained from a simple regression analysis: = 37.2895 - (1.2024)X r = .6744 sb = .2934 When X (independent variable) is equal to zero, the estimated value of Y (dependent variable) is equal to: A. -1.2024 B. .6774 C. 37.2895 D. .2934 2 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 40. The following results were obtained from a simple regression analysis: = 37.2895 - (1.2024)X r2= .6744 sb = .2934 ____________ is the proportion of the variation explained by the simple linear regression model. A. -1.2024 B. .6774 C. 37.2895 D. .2934 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 6 Topic: Coefficient of determination 1-1212 Chapter 01 - An Introduction to Business Statistics 41. When the constant variance assumption holds, a plot of the residual versus x: A. Fans out B. Funnels in C. Fans out, but then funnels in D. Forms a horizontal band pattern E. Suggests an increasing error variance AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 9 Topic: Residual analysis 42. Which of the following is a violation of the independence assumption? A. Negative autocorrelation B. A pattern of cyclical error terms over time C. Positive autocorrelation D. A pattern of alternating error terms over time E. All of the above AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 9 Topic: Residual analysis 1-1213 Chapter 01 - An Introduction to Business Statistics 43. For the same set of observations on a specified dependent variable two different independent variables were used to develop two separate simple linear regression models. A portion of the results is presented below. Based on the results given above, we can conclude that: A. A prediction based on Model 1 is better than a prediction based on Model 2. B. A prediction based on Model 2 is better than a prediction...
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