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Use the following results obtained from a simple

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Unformatted text preview: ll hypothesis C. t = 5.29, reject null hypothesis D. t = 2.00, reject null hypothesis t = 5.2938, reject H0 b1 = 14/14 = 1 1-1238 Chapter 01 - An Introduction to Business Statistics AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 4 Topic: Significance of the slope 1-1239 Chapter 01 - An Introduction to Business Statistics 83. 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 Calculate the 95% confidence interval for the slope. A. (0.564 1.436) B. (-.630 2.63) C. (.579 1.421) D. (.001 1.999) b1 = 14/14 = 1 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 4 Topic: Significance of the slope 1-1240 Chapter 01 - An Introduction to Business Statistics 84. 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 Calculate the correlation coefficient. A. .778 B. .252 C. 1.000 D. .882 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 6 Topic: Correlation 1-1241 Chapter 01 - An Introduction to Business Statistics 85. 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 Calculate the coefficient of determination. A. .778 B. .0635 C. 1.00 D. .882 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 6 Topic: Coefficient of determination 1-1242 Chapter 01 - An Introduction to Business Statistics 86. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The simple linear regression equation is and the strength is measured in pounds per square inch. Determine the predicted value of y when x = 4. A. 4 B. 5 C. 2 D. 6 = 1 + 1X. The time is in minutes = 1 + 1(4) = 5 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 87. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The simple linear regression equation is = 1 + 1X. The time is in minutes and the strength is measured in pounds per square inch. Provide a managerial interpretation of the Y-intercept. A. As time heated increase by one minute, the strength increases by 1lb. per sq. inch. B. This is the direct relationship between X and Y. C. If the metal is not heated, the estimated average metal strength is 1lb. per sq. inch. D. Y-intercept cannot be interpreted. AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 1-1243 Chapter 01 - An Introduction to Business Statistics 88. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The simple linear regression equation is = 1 + 1X. The time is in minutes and the strength is measured in pounds per square inch. Provide a managerial interpretation of the slope. A. As time heated increase by one minute, the strength increases by 1lb. per sq. inch B. This is the direct relationship between X and Y C. If the metal is not heated, the estimated average metal strength is 1lb. per sq. inch. D. Y-intercept cannot be interpreted AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 89. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The simple linear regression equation is = 1 + 1X. The time is in minutes and the strength is measured in pounds per square inch. The 95% confidence interval for the slope is from .564 to 1.436. Can we reject β1 = 0? A. Reject H0 B. Fail to reject H0 AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Hard Learning Objective: 4 Topic: Significance of the slope 1-1244 Chapter 01 - An Introduction to Business Statistics 90. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The sample size consists of ten metal sheets. The simple linear regression equation is = 1 + 1X. The time is in minutes and the strength is measured in pounds per square inch. One of the ten metal sheets was heated for 4 minutes and the resulting strength was 6 lbs. per square inch. Calculate the value of the residual for this observation. A. 2 B. 1 C. -4 D. 0 = 1 + 1(4) = 5 e=6-5=1 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 1 Topic: Simple Linear Regression 91. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Partial results based on a sample of 10 metal sheets are given below. The simple linear regression equation is = 1 + 1X . T...
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