Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression: TestScore = 520.4 – 5.82 × CS, R2 = 0.08, SER = 11.5. a. A classroom has 22 students. What is the regression's prediction for that classroom's average test score? b. Last year a classroom had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score? c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms? (Hint: Review the formulas for the OLS estimators.)
Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression: TestScore = 520.4 – 5.82 × CS, R2 = 0.08, SER = 11.5. a. A classroom has 22 students. What is the regression's prediction for that classroom's average test score? b. Last year a classroom had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score? c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms? (Hint: Review the formulas for the OLS estimators.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Transcribed Image Text:Suppose that a researcher, using data on class size (CS) and average test
scores from 100 third-grade classes, estimates the OLS regression:
TestScore = 520.4 – 5.82 × CS, R = 0.08, SER = 11.5.
a. A classroom has 22 students. What is the regression's prediction for
that classroom's average test score?
b. Last year a classroom had 19 students, and this year it has 23 students.
What is the regression's prediction for the change in the classroom
average test score?
c. The sample average class size across the 100 classrooms is 21.4. What
is the sample average of the test scores across the 100 classrooms?
(Hint: Review the formulas for the OLS estimators.)
d. What is the sample standard deviation of test scores across the 100
classrooms? (Hint: Review the formulas for the R2 and SER.)
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