In: Statistics and Probability
Given the following information
n= 5 Σ Xt = 30 Σ Yt = 172 Σ Yt Xt = 980
Σ X2t = 205 Σ Y2t = 5162
Find the least squares estimates of α and β from
Yt = α + βXt + ut
The sum of squared residuals is 45.2691. What does the SSR tell us in general?
Find the unbiased estimate of the variance of ut. What does S2 tell us in general?
Test H0: β = 0 against H1: β > 0 at the 5% level of significance.
Calculate the 95% confidence interval for β.
Calculate the R2.