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A ss error b total variance c ms error d explained

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Unformatted text preview: ion 72. A _______________ is a method or a process of estimating a relationship between a dependent variable (Y) and a single independent variable (X). A. Chi-square analysis B. Simple linear regression analysis C. One-way ANOVA D. Correlation analysis AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 73. A ______________________ measures the strength of the relationship between a dependent variable (Y) and an independent variable (X). A. Coefficient of determination B. Correlation coefficient C. Slope D. Standard error AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Learning Objective: 6 Topic: Correlation 1-1230 Chapter 01 - An Introduction to Business Statistics 74. If the points are tightly distributed around the regression line on a scatter diagram, then we can conclude that the changes in the value of the dependent variable _________ the independent variable (X). A. have no relationship with B. are explained by C. always inversely related to D. always positively related to AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 1 Topic: Simple Linear Regression 75. After plotting the data point s on a scatter diagram, we have observed an inverse relationship between the independent variable (X) and the dependent variable (Y). Therefore, we can expect both the sample slope and the __________ to be a negative value. A. Coefficient of determination B. Correlation coefficient C. Slope D. Standard error AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 6 Topic: Correlation 1-1231 Chapter 01 - An Introduction to Business Statistics 76. Use the following results obtained from a simple linear regression analysis with 12 observations. = 37.2895 - (1.2024) X 2 r = .6744 sb = .2934 Test to determine if there is a significant negative relationship between the independent and dependent variable at α = .05. Give the test statistic and the resulting conclusion. A. Reject H0, t = -4.10 B. Fail to reject H0, t = 4.10 C. Reject H0, t = -1.783 D. Fail to reject H0, t = 1.783 There is a significant negative relationship between dependent and independent variable. AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 4 Topic: Significance of the slope 1-1232 Chapter 01 - An Introduction to Business Statistics 77. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Find the estimated y-intercept. A. 1 B. 4.45 C. 10.04 D. 1.289 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 2 Topic: Simple Linear Regression 1-1233 Chapter 01 - An Introduction to Business Statistics 78. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Find the estimated y intercept and slope and write the equation of the least squares regression line. A. 14 - 68x B. 2 + 0x C. 0 + 1x D. 1 + 1x AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 2 Topic: Simple Linear Regression 1-1234 Chapter 01 - An Introduction to Business Statistics 79. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Determine SSE, SS (Total) A. 10, 14 B. 4, 18 C. 14, 18 D. 17, 18 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression 1-1235 Chapter 01 - An Introduction to Business Statistics 80. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Determine the value of the F statistic. A. 28 B. 7 C. 14 D. 12.6 F = 28 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 8 Topic: Simple Linear Regression 1-1236 Chapter 01 - An Introduction to Business Statistics 81. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Determine the standard error. A. 3.74 B. 0.707 C. 2.65 D. 0.500 s = .707 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 3 Topic: Simple Linear Regression 1-1237 Chapter 01 - An Introduction to Business Statistics 82. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Results based on 10 metal sheets are given below. Use the simple linear regression model. = 30 = 104 = 40 = 178 = 134 Find the t statistic and test H0: B1 ≤ 0 vs. Ha: B1 > 0 at α = .05. A. t = 1.414, fail to reject null hypothesis B. t = 6.00, reject nu...
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