1. (Based on Stock & Watson “Introduction to Econometrics” 6th ed., Exercise 4.1 and 5.1.) Suppose...
1. (Based on Stock & Watson “Introduction to Econometrics” 6th ed., Exercise 4.1 and 5.1.) Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimate the simple linear regression: TestScore d = 520.4−5.82 × CS, n = 100, R^2 = 0.08. (20.4) (2.21)
(d) Name one factor in the error term and discuss its correlation with class size and average test score.
(e) Construct 95% and 90% confidence intervals for β1.
(f) Calculate the p-value for the two-sided test of the null hypotheis H0 : β1 = 0. Do you reject the null hypothesis at the 95% level? At the 1% level?
(g) Calculate the p-value for the hypotheses H0 : β1 = −5.6 v.s. H1 : β1 6= −5.6. Without doing any additional calculations, determine whether −5.6 is contained in the 95% confidence interval for β1.
(h) Construct a 99% confidence interval for β0.