Question

Answer true or false and state why.

1. The least-squares estimators are always BLUE and BUE.

2, In large samples the usually standardized ratios follow the
t-distribution.

3. If we rescale the dependent variable in regression by dividing
by 100, the new coefficient and their estimates will be multiplied
by 100.

4. In choosing between models we always seek to maximize
R^2.

(h) In choosing between models we always seek to maximize R2.

3

Answer #1

1. True. The least sqaure estimators are always BLUE and BUE. Because we obtained these estimators by using all the standard assumptions.

2. False. In large samples the usually standardized ratios does not follow the t-distribution. Because t- distribution can be applied for sample size < 30.

3. False. If we rescale the dependent variable in regression by dividing by 100, the new coefficient and their estimates will be divided by 100.

4. True. Because R^{2} is the explanation of
dependent variable by independent variable. So, in choosing between
models we always seek to maximize R^2

True or False. Explain your answer:
d) Least squares estimates of the regression coefficients b0,
b1, . . . bn are chosen to maximize R2 .
e) If all the explanatory variables are uncorrelated, the
variance inflation factor (VIF) for each explanatory variable will
be 1.
) b0 and b1 from a simple linear regression model are
independent.

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