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If there is significant autocorrelation present in a

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Unformatted text preview: 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 1-1165 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 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 1-1166 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 null hypothesis C. t = 5.29, reject null hypothesis D. t = 2.00, reject null hypothesis 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) 1-1167 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 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 1-1168 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 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. 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 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 1-1169 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 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...
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