Deck 7: Multiple Regression Analysis With Qualitative Information

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سؤال
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?

A)1
B)5
C)6
D)4
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سؤال
The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = <strong>The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings =   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 inclusion of another binary variable in this model that takes a value of 1 if a person is uneducated, will give rise to the problem of _____.</strong> A)omitted variable bias B)self-selection C)dummy variable trap D)heteroskedastcity <div style=padding-top: 35px> 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 inclusion of another binary variable in this model that takes a value of 1 if a person is uneducated, will give rise to the problem of _____.

A)omitted variable bias
B)self-selection
C)dummy variable trap
D)heteroskedastcity
سؤال
Which of the following Gauss-Markov assumptions is violated by the linear probability model?

A)The assumption of constant variance of the error term.
B)The assumption of zero conditional mean of the error term.
C)The assumption of no exact linear relationship among independent variables.
D)The assumption that none of the independent variables are constants.
سؤال
Consider the following regression equation: y = <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> 0+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> 1x1+ …+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> k xk + u In which of the following cases, the dependent variable is binary?

A)y indicates the gross domestic product of a country
B)y indicates whether an adult is a college dropout
C)y indicates household consumption expenditure
D)y indicates the number of children in a family
سؤال
Which of the following is true of dependent variables?

A)A dependent variable can only have a numerical value.
B)A dependent variable cannot have more than 2 values.
C)A dependent variable can be binary.
D)A dependent variable cannot have a qualitative meaning.
سؤال
A binary variable is a variable whose value changes with a change in the number of observations.
سؤال
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 + <strong>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   <sub>0</sub> > 0, _____.</strong> A)uneducated people have higher savings than those who are educated B)educated people have higher savings than those who are not educated C)individuals with lower income have higher savings D)individual with lower income have higher savings <div style=padding-top: 35px> 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 <strong>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   <sub>0</sub> > 0, _____.</strong> A)uneducated people have higher savings than those who are educated B)educated people have higher savings than those who are not educated C)individuals with lower income have higher savings D)individual with lower income have higher savings <div style=padding-top: 35px> 0 > 0, _____.

A)uneducated people have higher savings than those who are educated
B)educated people have higher savings than those who are not educated
C)individuals with lower income have higher savings
D)individual with lower income have higher savings
سؤال
In a self-selection problem, the explanatory variables can be:​

A)​endogenous.
B)​exogenous.
C)​independent.
D)​random.
سؤال
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.

A)Chow statistic
B)t statistic
C)​ <strong>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.</strong> A)Chow statistic B)t statistic C)​   statistic D)​LM statistic <div style=padding-top: 35px> statistic
D)​LM statistic
سؤال
In the following regression equation, y is a binary variable: y = <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant <div style=padding-top: 35px> 0+ <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant <div style=padding-top: 35px> 1x1+… <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant <div style=padding-top: 35px> k xk+ u
In this case, the estimated slope coefficient, <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant <div style=padding-top: 35px> measures _____.

A)the predicted change in the value of y when x1 increases by one unit, everything else remaining constant
B)the predicted change in the value of y when x1 decreases by one unit, everything else remaining constant
C)the predicted change in the probability of success when x1 decreases by one unit, everything else remaining constant
D)the predicted change in the probability of success when x1 increases by one unit, everything else remaining constant
سؤال
If the p-value of an F statistic 2.63 is 0.034, then we can say that the problem of interest is significant at the 5% level.​
سؤال
A binary response is the most extreme form of a discrete random variable that takes on:​

A)​only two values, zero and one.
B)​only one value, zero.
C)​only one value, one.
D)​any value.
سؤال
Consider the following regression equation: y = <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> 0+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> 1x1 + … + <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family <div style=padding-top: 35px> kxk + u In which of the following cases, is 'y' a discrete variable?

A)y indicates the gross domestic product of a country
B)y indicates the total volume of rainfall during a year
C)y indicates household consumption expenditure
D)y indicates the number of children in a family
سؤال
Which of the following is true of Chow test?

A)It is a type of t test.
B)It is a type of sign test.
C)It is only valid under homoskedasticty.
D)It is only valid under heteroskedasticity.
سؤال
Which of the following problems can arise in policy analysis and program evaluation using a multiple linear regression model?

A)There exists homoskedasticity in the model.
B)The model can produce predicted probabilities that are less than zero and greater than one.
C)The model leads to the omitted variable bias as only two independent factors can be included in the model.
D)The model leads to an overestimation of the effect of independent variables on the dependent variable.
سؤال
Which of the following is true of dummy variables?

A)A dummy variable always takes a value less than 1.
B)A dummy variable always takes a value higher than 1.
C)A dummy variable takes a value of 0 or 1.
D)A dummy variable takes a value of 1 or 10.
سؤال
In a regression model, which of the following will be described using a binary variable?

A)Whether it rained on a particular day or it did not
B)The volume of rainfall during a year
C)The percentage of humidity in air on a particular day
D)The concentration of dust particles in air
سؤال
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 + <strong>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 _____.</strong> A)the group of educated people B)the group of uneducated people C)the group of individuals with a high income D)the group of individuals with a low income <div style=padding-top: 35px> 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 _____.

A)the group of educated people
B)the group of uneducated people
C)the group of individuals with a high income
D)the group of individuals with a low income
سؤال
A _____ variable is used to incorporate qualitative information in a regression model.

A)dependent
B)continuous
C)binomial
D)dummy
سؤال
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= <strong>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) _____.</strong> A)dependent variable B)ordinal variable C)continuous variable D)Poisson variable <div style=padding-top: 35px> 0+ <strong>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) _____.</strong> A)dependent variable B)ordinal variable C)continuous variable D)Poisson variable <div style=padding-top: 35px> 0​Rating + other factors. The variable 'Rating' is a(n) _____.

A)dependent variable
B)ordinal variable
C)continuous variable
D)Poisson variable
سؤال
Consider the model: log(wage) = <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> female + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> exper + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?

A) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px>
B) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px>
C) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px>
D) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   <div style=padding-top: 35px>
سؤال
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.
سؤال
The dummy variable coefficient for a particular group represents the estimated difference in intercepts between that group and the base group.
سؤال
The multiple linear regression model with a binary dependent variable is called the linear probability model.
سؤال
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.​
سؤال
Consider the model: log (wage) = <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> female + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> graduate + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?

A) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px>
B) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px>
C) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px>
D) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px> + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   <div style=padding-top: 35px>
سؤال
Consider the following regression equation: graduate = <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. <div style=padding-top: 35px> + <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. <div style=padding-top: 35px> female + <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. <div style=padding-top: 35px> score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. <div style=padding-top: 35px> measure?

A)The predicted difference in probability of graduating between male and female students, all else equal.
B)The predicted change in probability of graduating when score increases by 1, all else equal.
C)The predicted probability of graduating for female students.
D)The predicted probability of graduating for male students.
سؤال
A dummy variable trap arises when a single dummy variable describes a given number of groups.
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Deck 7: Multiple Regression Analysis With Qualitative Information
1
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?

A)1
B)5
C)6
D)4
D
2
The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings = <strong>The following simple model is used to determine the annual savings of an individual on the basis of his annual income and education. Savings =   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 inclusion of another binary variable in this model that takes a value of 1 if a person is uneducated, will give rise to the problem of _____.</strong> A)omitted variable bias B)self-selection C)dummy variable trap D)heteroskedastcity 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 inclusion of another binary variable in this model that takes a value of 1 if a person is uneducated, will give rise to the problem of _____.

A)omitted variable bias
B)self-selection
C)dummy variable trap
D)heteroskedastcity
C
3
Which of the following Gauss-Markov assumptions is violated by the linear probability model?

A)The assumption of constant variance of the error term.
B)The assumption of zero conditional mean of the error term.
C)The assumption of no exact linear relationship among independent variables.
D)The assumption that none of the independent variables are constants.
A
4
Consider the following regression equation: y = <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family 0+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family 1x1+ …+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates whether an adult is a college dropout C)y indicates household consumption expenditure D)y indicates the number of children in a family k xk + u In which of the following cases, the dependent variable is binary?

A)y indicates the gross domestic product of a country
B)y indicates whether an adult is a college dropout
C)y indicates household consumption expenditure
D)y indicates the number of children in a family
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Which of the following is true of dependent variables?

A)A dependent variable can only have a numerical value.
B)A dependent variable cannot have more than 2 values.
C)A dependent variable can be binary.
D)A dependent variable cannot have a qualitative meaning.
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6
A binary variable is a variable whose value changes with a change in the number of observations.
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7
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 + <strong>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   <sub>0</sub> > 0, _____.</strong> A)uneducated people have higher savings than those who are educated B)educated people have higher savings than those who are not educated C)individuals with lower income have higher savings D)individual with lower income have higher savings 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 <strong>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   <sub>0</sub> > 0, _____.</strong> A)uneducated people have higher savings than those who are educated B)educated people have higher savings than those who are not educated C)individuals with lower income have higher savings D)individual with lower income have higher savings 0 > 0, _____.

A)uneducated people have higher savings than those who are educated
B)educated people have higher savings than those who are not educated
C)individuals with lower income have higher savings
D)individual with lower income have higher savings
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8
In a self-selection problem, the explanatory variables can be:​

A)​endogenous.
B)​exogenous.
C)​independent.
D)​random.
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9
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.

A)Chow statistic
B)t statistic
C)​ <strong>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.</strong> A)Chow statistic B)t statistic C)​   statistic D)​LM statistic statistic
D)​LM statistic
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10
In the following regression equation, y is a binary variable: y = <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant 0+ <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant 1x1+… <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant k xk+ u
In this case, the estimated slope coefficient, <strong>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 _____.</strong> A)the predicted change in the value of y when x<sub>1</sub> increases by one unit, everything else remaining constant B)the predicted change in the value of y when x<sub>1</sub> decreases by one unit, everything else remaining constant C)the predicted change in the probability of success when x<sub>1</sub> decreases by one unit, everything else remaining constant D)the predicted change in the probability of success when x<sub>1</sub> increases by one unit, everything else remaining constant measures _____.

A)the predicted change in the value of y when x1 increases by one unit, everything else remaining constant
B)the predicted change in the value of y when x1 decreases by one unit, everything else remaining constant
C)the predicted change in the probability of success when x1 decreases by one unit, everything else remaining constant
D)the predicted change in the probability of success when x1 increases by one unit, everything else remaining constant
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11
If the p-value of an F statistic 2.63 is 0.034, then we can say that the problem of interest is significant at the 5% level.​
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12
A binary response is the most extreme form of a discrete random variable that takes on:​

A)​only two values, zero and one.
B)​only one value, zero.
C)​only one value, one.
D)​any value.
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13
Consider the following regression equation: y = <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family 0+ <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family 1x1 + … + <strong>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?</strong> A)y indicates the gross domestic product of a country B)y indicates the total volume of rainfall during a year C)y indicates household consumption expenditure D)y indicates the number of children in a family kxk + u In which of the following cases, is 'y' a discrete variable?

A)y indicates the gross domestic product of a country
B)y indicates the total volume of rainfall during a year
C)y indicates household consumption expenditure
D)y indicates the number of children in a family
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14
Which of the following is true of Chow test?

A)It is a type of t test.
B)It is a type of sign test.
C)It is only valid under homoskedasticty.
D)It is only valid under heteroskedasticity.
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15
Which of the following problems can arise in policy analysis and program evaluation using a multiple linear regression model?

A)There exists homoskedasticity in the model.
B)The model can produce predicted probabilities that are less than zero and greater than one.
C)The model leads to the omitted variable bias as only two independent factors can be included in the model.
D)The model leads to an overestimation of the effect of independent variables on the dependent variable.
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16
Which of the following is true of dummy variables?

A)A dummy variable always takes a value less than 1.
B)A dummy variable always takes a value higher than 1.
C)A dummy variable takes a value of 0 or 1.
D)A dummy variable takes a value of 1 or 10.
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17
In a regression model, which of the following will be described using a binary variable?

A)Whether it rained on a particular day or it did not
B)The volume of rainfall during a year
C)The percentage of humidity in air on a particular day
D)The concentration of dust particles in air
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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 + <strong>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 _____.</strong> A)the group of educated people B)the group of uneducated people C)the group of individuals with a high income D)the group of individuals with a low income 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 _____.

A)the group of educated people
B)the group of uneducated people
C)the group of individuals with a high income
D)the group of individuals with a low income
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19
A _____ variable is used to incorporate qualitative information in a regression model.

A)dependent
B)continuous
C)binomial
D)dummy
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20
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= <strong>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) _____.</strong> A)dependent variable B)ordinal variable C)continuous variable D)Poisson variable 0+ <strong>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) _____.</strong> A)dependent variable B)ordinal variable C)continuous variable D)Poisson variable 0​Rating + other factors. The variable 'Rating' is a(n) _____.

A)dependent variable
B)ordinal variable
C)continuous variable
D)Poisson variable
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Consider the model: log(wage) = <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   female + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   exper + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?

A) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +
B) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +
C) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +
D) <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +   + <strong>Consider the model: log(wage) =   +   female +   exper +   female * exper + u, where exper is the years of work experience, and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the difference in the return of experience between men and women?</strong> A)   B)   +   C)   +   +   D)   +
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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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The dummy variable coefficient for a particular group represents the estimated difference in intercepts between that group and the base group.
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The multiple linear regression model with a binary dependent variable is called the linear probability model.
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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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Consider the model: log (wage) = <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   female + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   graduate + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?

A) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +
B) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +
C) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +
D) <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +   + <strong>Consider the model: log (wage) =   +   female +   graduate +   female * graduate + u , where graduate is a dummy variable (1 if the person has graduated from college, and 0 otherwise), and female is a dummy variable (1 if the person is female, and 0 otherwise). Which of the following measures the return of graduating from college for men?</strong> A)   +   B)   +   C)   +   D)   +
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Consider the following regression equation: graduate = <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. + <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. female + <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does <strong>Consider the following regression equation: graduate =   +   female +   score + u where graduate is a dummy variable (1 if the person graduated from college, and 0 otherwise), female is a dummy variable (1 if the person is female, and 0 otherwise), and score is the college admission test score. What does   measure?</strong> A)The predicted difference in probability of graduating between male and female students, all else equal. B)The predicted change in probability of graduating when score increases by 1, all else equal. C)The predicted probability of graduating for female students. D)The predicted probability of graduating for male students. measure?

A)The predicted difference in probability of graduating between male and female students, all else equal.
B)The predicted change in probability of graduating when score increases by 1, all else equal.
C)The predicted probability of graduating for female students.
D)The predicted probability of graduating for male students.
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28
A dummy variable trap arises when a single dummy variable describes a given number of groups.
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افتح القفل للوصول البطاقات البالغ عددها 28 في هذه المجموعة.