Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade

Question:

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

a. Construct a 95% confidence interval for ph the regression slope coefficient.
b. Calculate the p-value for the two-sided test of the null hypothesis H0: Î²1 = 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 H0: Î²1 - 5.6. Without doing any additional calculations, determine whether - 5.6 is contained in the 95% confidence interval for Î²1.
d. Construct a 99% confidence interval for Î²0.