Exam 7: Multiple Regression Analysis With Qualitative Information: Binary or Dummy Variables

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A dummy variable trap arises when a single dummy variable describes a given number of groups.

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The sum of squared residuals form of the F statistic can be computed easily even when many independent variables are involved; this particular F statistic is usually called the _____ in econometrics.

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The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = β0 + The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = β<sub>0</sub> +   <sub>0</sub> Edu + β<sub>1</sub>Inc + u The variable 'Edu' takes a value of 1 if the person is educated and the variable 'Inc' measures the income of the individual. ​ Refer to the model above. The benchmark group in this model is _____. 0 Edu + β1Inc + u The variable 'Edu' takes a value of 1 if the person is educated and the variable 'Inc' measures the income of the individual. ​ Refer to the model above. The benchmark group in this model is _____.

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The income of an individual in Budopia depends on his ethnicity and several other factors which can be measured quantitatively. If there are 5 ethnic groups in Budopia, how many dummy variables should be included in the regression equation for income determination in Budopia?

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A _____ variable is used to incorporate qualitative information in a regression model.

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Which of the following Gauss-Markov assumptions is violated by the linear probability model?

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A binary response is the most extreme form of a discrete random variable that takes on:​

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A binary variable is a variable whose value changes with a change in the number of observations.

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A problem that often arises in policy and program evaluation is that individuals (or firms or cities) choose whether or not to participate in certain behaviors or programs.

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Which of the following is true of Chow test?

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Which of the following is true of dummy variables?

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The multiple linear regression model with a binary dependent variable is called the linear probability model.

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Consider the following regression equation: y = Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+ …+   <sub>k</sub> x<sub>k </sub>+ u In which of the following cases, the dependent variable is binary? 0+ Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+ …+   <sub>k</sub> x<sub>k </sub>+ u In which of the following cases, the dependent variable is binary? 1x1+ …+ Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+ …+   <sub>k</sub> x<sub>k </sub>+ u In which of the following cases, the dependent variable is binary? k xk + u In which of the following cases, the dependent variable is binary?

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Consider the following regression equation: y = Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1 </sub>+ … +   <sub>k</sub>x<sub>k </sub>+ u In which of the following cases, is 'y' a discrete variable? 0+ Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1 </sub>+ … +   <sub>k</sub>x<sub>k </sub>+ u In which of the following cases, is 'y' a discrete variable? 1x1 + … + Consider the following regression equation: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1 </sub>+ … +   <sub>k</sub>x<sub>k </sub>+ u In which of the following cases, is 'y' a discrete variable? kxk + u In which of the following cases, is 'y' a discrete variable?

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Which of the following problems can arise in policy analysis and program evaluation using a multiple linear regression model?

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The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = β0 + The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = β<sub>0</sub> +   <sub>0</sub> Edu + β<sub>1</sub>Inc + u The variable 'Edu' takes a value of 1 if the person is educated and the variable 'Inc' measures the income of the individual. ​ ​ Refer to the above model. If   0 > 0, _____. 0 Edu + β1Inc + u The variable 'Edu' takes a value of 1 if the person is educated and the variable 'Inc' measures the income of the individual. ​ ​ Refer to the above model. If The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = β<sub>0</sub> +   <sub>0</sub> Edu + β<sub>1</sub>Inc + u The variable 'Edu' takes a value of 1 if the person is educated and the variable 'Inc' measures the income of the individual. ​ ​ Refer to the above model. If   0 > 0, _____. 0 > 0, _____.

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The quarterly increase in an employee's salary depends on the rating of his work by his employer and several other factors as shown in the model below: Increase in salary= The quarterly increase in an employee's salary depends on the rating of his work by his employer and several other factors as shown in the model below: Increase in salary=   0+   0​Rating + other factors. The variable 'Rating' is a(n) _____. 0+ The quarterly increase in an employee's salary depends on the rating of his work by his employer and several other factors as shown in the model below: Increase in salary=   0+   0​Rating + other factors. The variable 'Rating' is a(n) _____. 0​Rating + other factors. The variable 'Rating' is a(n) _____.

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In the following regression equation, y is a binary variable: y = In the following regression equation, y is a binary variable: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+…   <sub>k</sub> x<sub>k</sub>+ u In this case, the estimated slope coefficient,   measures _____. 0+ In the following regression equation, y is a binary variable: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+…   <sub>k</sub> x<sub>k</sub>+ u In this case, the estimated slope coefficient,   measures _____. 1x1+… In the following regression equation, y is a binary variable: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+…   <sub>k</sub> x<sub>k</sub>+ u In this case, the estimated slope coefficient,   measures _____. k xk+ u In this case, the estimated slope coefficient, In the following regression equation, y is a binary variable: y =   <sub>0</sub>+   <sub>1</sub>x<sub>1</sub>+…   <sub>k</sub> x<sub>k</sub>+ u In this case, the estimated slope coefficient,   measures _____. measures _____.

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The parameters in a linear probability model can be interpreted as measuring the change in the probability that y = 1 due to a one-unit increase in an explanatory variable.​

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In a regression model, which of the following will be described using a binary variable?

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