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Unformatted text preview: lature 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 Write the least squares prediction equation. ŷ = 35.178 + 0.22073x1 + 0.3353x2 + 0.0930x3 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 1 Topic: Multiple regression model 1-1440 Chapter 01 - An Introduction to Business Statistics 118. 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 usefulness of variable x1 in the model at α = .05. Calculate the t statistic and state your conclusions. t = 3.10. We reject H0 and conclude that x1 is making a significant contribution to predicting y. t-025,32 = 2.036 t = 0.22073/0.07131 3.10 > 2.036, reject H0 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 5 Topic: Significance of an independent variable 1-1441 Chapter 01 - An Introduction to Business Statistics 119. 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 Determine the 90% interval for β2 and interpret its meaning (0.0135, 0.6571) We are 90% confident that as β2 increases by 1 year, the mathematics test score will increase by at least 0.0135 points and at most by 0.6571 points. (b2 ± tsb2) = (0.3353 ± 1.693 (0.1901) = (0.3353 ± 0.3218) = 0.0135 to 0.6571 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 5 Topic: Significance of an independent variable 1-1442 Chapter 01 - An Introduction to Business Statistics 120. 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 Based on the multiple regression model given above, estimate the mathematics test score and calculate the value of the residual, if the percentage of teachers with a mathematics degree is 50.0, the average age is 43 and the average salary is 48,300 (48.3). The actual mathematics test score for these factors is 68.50. Estimated test score = 65.12 and residual = 3.38 ŷ = 35.178 + 0.22073 (50) + 0.3353 (43) + 0.0930 (48.3) = 65.12 e = 68.50 - 65.12 = 3.38 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 9 Topic: Residual analysis 1-1443 Chapter 01 - An Introduction to Business Statistics 121. 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 Additional information related to this point estimate of 65.12 is given below. Predicted Values for New Observations 50% with math degree, average age of 43 and average salary is 48.3 New Determine the 95% confidence interval for this estimate and interpret its meaning. 1-1444 Chapter 01 - An Introduction to Business Statistics 61.69 to 68.55. We are...
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This document was uploaded on 01/20/2014.

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