(CS) test Suppose that a researcher, using data on class size from 100 third-gra

Question

(CS) test Suppose that a researcher, using data on class size from 100 third-grade classes, estimates the OLS regression and average scores 4.1 TestScore-5204-582 (20.4) (2.21) Test Score-520.4-5.82 x CS,R 0.08 SER-11.5 Exercises133 a. A classroom has 22 students. What is the regression's prediction for 22 students. What is the regression's prediction fo 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 C. Construct a 95% confidence interval for ', the regression slope d. Calculate the p-value for the two-sided test of the null hypothesis average test score? coefficient. Ho ,-0. Do you reject the null hypothesis at the 5% level? At the 1% level? e. 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.)

Explanation / Answer

SOla:

for class=22

test score=520.4-5.82*CS

=520.4-5.82*22

=392.36

Solution:b:

slope=change iny/change in x

- 5.82 =chnage in y/4

change in y=23.28

the regression prediction for change in classroom average test score is 23.28

Solutionc:

95% confidence interval: -6.11767 -5.52233

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