Question: Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression. Test Score =

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression. Test Score = 520.4-5.82 x CS, R2 = 0.08, SFR - 11.5. (20.4) (2.21)

a. Construct a 95% confidence interval for B, the regression slope coef- ficient.

b. Calculate the p-value for the two-sided test of the null hypothesis H: B = 0. Do you reject the null hypothesis at the 5% level? At the 1% level?

c. Calculate the p-value for the two-sided test of the null hypothesis Ho: B =-5.6. Without doing any additional calculations, determine whether -5.6 is contained in the 95% confidence interval for B.

d. Construct a 99% confidence interval for B

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