1) What is residual sum of squares in a regression?
2) Suppose you are estimating parameters of the following regression model:
Ŷt= 9941 + 0.25 X2t+ 15125 X3t
(6114) (0.121) (7349)
R2= 0.87, RSS = 10310
(The figures in parentheses are the estimated standard errors. RSS are residual sum of squares.)
(i) Comment on the explanatory power of the regression.
(ii) Using t-tests show whether individual coefficients are significantly different from zero at 5% level of significance.
(iii)Test whether the coefficient of X2issignificantly different from 1 at 5% level of significance.
(iv)Carry out an appropriate test to check ifcoefficients are jointly significant.
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