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Unformatted text preview: the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance What is the explained variation?
1053.09
SS Regression = explained variation = 1053.09 AACSB: Analytic
Bloom's: Application
Difficulty: Easy
Learning Objective: 4
Topic: Multiple regression model 11434 Chapter 01  An Introduction to Business Statistics 112. A member of the state legislature has expressed concern about the differences in the
mathematics test scores of high school freshmen across the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance What is the mean square error?
58.08
MSE = 1858.50/32 AACSB: Analytic
Bloom's: Application
Difficulty: Easy
Learning Objective: 2
Topic: Multiple regression model 11435 Chapter 01  An Introduction to Business Statistics 113. A member of the state legislature has expressed concern about the differences in the
mathematics test scores of high school freshmen across the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance Calculate R2.
0.3617
R2 = 1053.09/2911.59 = 0.3617 AACSB: Analytic
Bloom's: Application
Difficulty: Medium
Learning Objective: 3
Topic: Coefficient of determination 11436 Chapter 01  An Introduction to Business Statistics 114. A member of the state legislature has expressed concern about the differences in the
mathematics test scores of high school freshmen across the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance Test the overall usefulness of the model at α = .01. Calculate F and make your decision.
F = 6.04, reject H0
MSR = 1053.09/3 = 351.03
MSE = 1858.50/32 = 58.08
F = MSR/MSE = 351.03/58.08 = 6.04
F.01,3,32 = 4.51 6.04 > 4.51, reject H0 AACSB: Analytic
Bloom's: Application
Difficulty: Hard
Learning Objective: 4
Topic: Overall F test 11437 Chapter 01  An Introduction to Business Statistics 115. A member of the state legislature has expressed concern about the differences in the
mathematics test scores of high school freshmen across the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance What is the number of observations in the sample?
n = 3 + 32 + 1 = 36 AACSB: Analytic
Bloom's: Application
Difficulty: Medium
Learning Objective: 1
Topic: Multiple regression model 11438 Chapter 01  An Introduction to Business Statistics 116. A member of the state legislature has expressed concern about the differences in the
mathematics test scores of high school freshmen across the state. She asks her research
assistant to conduct a study to investigate what factors could account for the differences. The
research assistant looked at a random sample of school districts across the state and used the
factors of percentage of mathematics teachers in each district with a degree in mathematics,
the average age of mathematics teachers and the average salary of mathematics teachers s = 7.62090
Analysis of Variance Calculate the adjusted R2.
0.3019
R2 = 1053.09/2911.59 = 0.3617
R2 adjusted = (0.3617  (3/35)(35/32) = (0.3617  0.0857)(1.0938) = 0.3019 AACSB: Analytic
Bloom's: Application
Difficulty: Medium
Learning Objective: 3
Topic: Coefficient of determination 11439 Chapter 01  An Introduction to Business Statistics 117. A member of the state legis...
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 Winter '14

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