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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 11165 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 11166 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) 11167 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 11168 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 Yintercept.
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. Yintercept 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. Yintercept 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 11169 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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 Winter '14

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