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

5.1 Suppose that 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 x CS, R2 = 0.11, SER = 8.7.

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 H0 : b1 = 0. Do you reject the null hypothesis (i) at the 5% level (ii) 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.

TestScore = 640.3 4.93 x CS, R2 = 0.11, SER = 8.7. (23.5) (2.02)

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