Suppose that a researcher, using data on class size (CS) and average test scores from 103 third-grade classes, estimates the OLS regression TestScore = 546.420 + (-6.1110) × CS, R² = 0.07, SER = 12.1. A classroom has 22 students. The regression's prediction for that classroom's average test score is 411.98. (Round your response to two decimal places.) Last year a classroom had 19 students, and this year it has 23 students. The regression's prediction for the change in the classroom average test score is - 24.44. (Round your response to two decimal places.) The sample average class size across the 103 classrooms is 22.47. The sample average of the test scores across the 103 classrooms is 409.11. (Hint: Review the formulas for the OLS estimators.) (Round your response to two decimal places.) The sample standard deviation of test scores across the 103 classrooms is (Hint: Review the formulas for the R² and SER.) (Round your response to one decimal place.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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Suppose that a researcher, using data on class size (CS) and average test scores
from 103 third-grade classes, estimates the OLS regression
TestScore = 546.420 + (-6.1110) × CS, R² = 0.07, SER = 12.1.
A classroom has 22 students. The regression's prediction for that classroom's
average test score is 411.98. (Round your response to two decimal places.)
Last year a classroom had 19 students, and this year it has 23 students.
The regression's prediction for the change in the classroom average test score is
- 24.44. (Round your response to two decimal places.)
The sample average class size across the 103 classrooms is 22.47.
The sample average of the test scores across the 103 classrooms is 409.11. (Hint:
Review the formulas for the OLS estimators.) (Round your response to two decimal
places.)
The sample standard deviation of test scores across the 103 classrooms is
(Hint: Review the formulas for the R² and SER.) (Round your response to one
decimal place.)
Transcribed Image Text:Suppose that a researcher, using data on class size (CS) and average test scores from 103 third-grade classes, estimates the OLS regression TestScore = 546.420 + (-6.1110) × CS, R² = 0.07, SER = 12.1. A classroom has 22 students. The regression's prediction for that classroom's average test score is 411.98. (Round your response to two decimal places.) Last year a classroom had 19 students, and this year it has 23 students. The regression's prediction for the change in the classroom average test score is - 24.44. (Round your response to two decimal places.) The sample average class size across the 103 classrooms is 22.47. The sample average of the test scores across the 103 classrooms is 409.11. (Hint: Review the formulas for the OLS estimators.) (Round your response to two decimal places.) The sample standard deviation of test scores across the 103 classrooms is (Hint: Review the formulas for the R² and SER.) (Round your response to one decimal place.)
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