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ETC2410 - ETC5241 - BEX2410 - Introductory econometrics - S1 2025
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In the following models, and are variables and and are parameters, and is an unobserved population error.
In which models can the parameters be estimated (following a suitable transformation if necessary) using ordinary least squares?
Let
where is a dummy variable which takes on value of 1 if an individual is Catholic, zero otherwise; and is a dummy variable which takes on a value of 1 if an individual lives in an urban area, zero if they live in a rural area.
What is the predicted number of kids for an individual who is Catholic and lives in an urban area?
Let
where is a dummy variable which takes on value of 1 if an individual is Catholic, zero otherwise; and is a dummy variable which takes on a value of 1 if an individual lives in an urban area, zero if they live in a rural area.
What does measure?
Suppose that a 95% confidence interval for the regression coefficient is given by . Is the regressor statistically significant in a two-sided test at the 5% significance level?
Suppose that we estimate a linear regression equation with 3 explanatory variables and a constant, using a sample of 65 observations, and we obtain an R-squared = 0.3177. Compute to two decimal places the sample value of the F statistic for testing the joint significance of the regressors.
The following equation reports the results of a multiple regression model estimated using OLS: The standard error of the regression is reported to be and its total sum of squares is also reported to be . Based on this information,
Suppose we use OLS to estimate the parameters of the model explained in the previous question and we denote the estimated model by: and we denote the standard error of by . The statistic has:
Using the data explained in the previous question we have estimated the following equation using OLS: where the number in parentheses below each parameter estimate is its standard error. Which one of the following statements is correct?
In the multiple regression of the previous question, the F-statistic for the overall significance of the model has an