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Questions in this quiz (13)
1In the simple linear regression model, the regression slope
- Aindicates by how many percent Y increases, given a one percent increase in X.
- Bwhen multiplied with the explanatory variable will give you the predicted Y.
- Cindicates by how many units Y increases, given a one unit increase in X.
- Drepresents the elasticity of Y on X.
2The normal approximation to the sampling distribution of β hat 1 is powerful because
- Amany explanatory variables in real life are normally distributed.
- Bit allows econometricians to develop methods for statistical inference.
- Cmany other distributions are not symmetric.
- Dis implies that OLS is the BLUE estimator for β1.
3Multiplying the dependent variable by 100 and the explanatory variable by 100,000 leaves the
- AOLS estimate of the slope the same.
- BOLS estimate of the intercept the same.
- Cregression R2 the same.
- Dvariance of the OLS estimators the same.
4Changing the units of measurement, e.g. measuring testscores in 100s, will do all of the following EXCEPT for changing the
- Aresiduals
- Bnumerical value of the slope estimate
- Cinterpretation of the effect that a change in X has on the change in Y
- Dnumerical value of the intercept
5To decide whether the slope coefficient indicates a "large" effect of X on Y, you look at the
- Asize of the slope coefficient
- Bregression R2
- Ceconomic importance implied by the slope coefficient
- Dvalue of the intercept
6The confidence interval for the sample regression function slope
- Acan be used to conduct a test about a hypothesized population regression function slope.
- Bcan be used to compare the value of the slope relative to that of the intercept.
- Cadds and subtracts 1.96 from the slope.
- Dallows you to make statements about the economic importance of your estimate.
7The proof that OLS is BLUE requires all of the following assumptions with the exception of:
- Athe errors are homoskedastic.
- Bthe errors are normally distributed.
- CE(ui I Xi) = 0 .
- Dlarge outliers are unlikely.
8When there are omitted variables in the regression, which are determinants of the dependent variable, then
- Ayou cannot measure the effect of the omitted variable, but the estimator of your included variable(s) is (are) unaffected.
- Bthis has no effect on the estimator of your included variable because the other variable is not included.
- Cthis will always bias the OLS estimator of the included variable.
- Dthe OLS estimator is biased if the omitted variable is correlated with the included variable.
9When you have an omitted variable problem, the assumption that E(ui Xi) = 0 is violated. This implies that
- Athe sum of the residuals is no longer zero.
- Bthere is another estimator called weighted least squares, which is BLUE.
- Cthe sum of the residuals times any of the explanatory variables is no longer zero.
- Dthe OLS estimator is no longer consistent.
10The formula for the standard error of the regression coefficient, when moving from one explanatory variable to two explanatory variables,
- Astays the same.
- Bchanges, unless the second explanatory variable is a binary variable.
- Cchanges.
- Dchanges, unless you test for a null hypothesis that the addition regression coefficient is zero.
11To decide whether Yi = β0 + β1X + ui or ln(Yi) = β0 + β1X + ui fits the data better, you cannot consult the regression R2 because
- Aln(Y) may be negative for 0<Y<1.
- Bthe TSS are not measured in the same units between the two models.
- Cthe slope no longer indicates the effect of a unit change of X on Y in the log-linear model.
- Dthe regression R2 can be greater than one in the second model.
12To test whether or not the population regression function is linear rather than a polynomial of order r,
- Acheck whether the regression R2 for the polynomial regression is higher than that of the linear regression.
- Bcompare the TSS from both regressions.
- Clook at the pattern of the coefficients: if they change from positive to negative to positive, etc., then the polynomial regression should be used.
- Duse the test of (r-1) restrictions using the F-statistic.
13In the model Yi = β0 + β1X1 + β2X2 + β3(X1 × X2) + ui, the expected effect change in Y /change in X1 is
- Aβ1 + β3X2.
- Bβ1.
- Cβ1 + β3.
- Dβ1 + β3X1.
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