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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 11238 Chapter 01  An Introduction to Business Statistics
AACSB: Analytic
Bloom's: Application
Difficulty: Hard
Learning Objective: 4
Topic: Significance of the slope 11239 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 11240 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 11241 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 11242 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 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. AACSB: Reflective Thinking
Bloom's: Analysis
Difficulty: Easy
Learning Objective: 1
Topic: Simple Linear Regression 11243 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. Yintercept 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 11244 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=65=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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