Question: 5.1 Suppose a researcher, using data on class size (CS) and average test scores from 50 third-grade classes, estimates the OLS regression TestScore = 640.3

5.1 Suppose a researcher, using data on class size (CS) and average test scores from 50 third-grade classes, estimates the OLS regression TestScore = 640.3 - 4.93 * CS, R2 = 0.11, SER = 8.7.

123.52 12.022

a. Construct a 95% confidence interval for b1, the regression slope coefficient.

b. Calculate the p-value for the two-sided test of the null hypothesis 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 : b1 = -5.0. Without doing any additional calculations, determine whether -5.0 is contained in the 95% confidence interval for b1.

d. Construct a 90% confidence interval for b0.

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