Deck 15: Multiple Regression

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Question
Multiple regression is one of the most widely used multivariate statistical techniques for analyzing three or more variables.
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Question
Full model specification means that all variables are measured that affect the dependent variable.
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A nomothetic mode of explanation isolates the most important factors.
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The search for parsimonious explanations often leads analysts to first identify different categories of factors that most affect their dependent variable.
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The error term accounts for all variables not specified in the model.
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The assumption of full model specification is that variables not specified in the model are justifiably omitted only when their cumulative effect on the dependent variable is zero.
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Each of the regression coefficients is interpreted as its effect on the dependent variable, controlled for the effect of all of the other independent variables included in the regression.
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It is okay for independent variables not to be correlated with the dependent variables, as long as they are highly correlated with each other.
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The error term plot shows the relationship between the predicted dependent variable and the error term.
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The lack of a pattern in the error term plot that is distributed around (0,0) indicates that the net effect of all variables excluded from the model on the dependent variable is zero.
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In multiple regression, the adjusted R2 controls for the number of dependent variables.
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Values of R2 adjusted below .20 are considered to suggest weak model fit, those between .20 and .40 indicate moderate fit, those above .40 indicate strong fit, and those above .65 indicate very strong model fit.
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Standardized coefficients enable analysts to draw inferences about the relative impact of different independent variables on the dependent variable.
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It is common to compare β coefficients across different models.
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The global F-test examines the overall effect of all independent variables jointly on the dependent variable.
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A dummy variable can have only two values.
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If a nominal variable has five categories, an analyst would include up to four dummy variables in a regression model.
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The regression coefficient of a dummy variable is interpreted as the effect of that variable on the dependent variable, controlled for all other variables in the model.
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Outliers can affect the slope of regression coefficients.
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Outliers are observations whose multiple regression residuals exceed three standard deviations.
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When two variables are multicollinear, they are strongly correlated with each other.
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When two variables are strongly correlated with each other, they are also multicollinear.
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Curvelinearity is indicated by residuals that are linearly related to each other.
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Curvelinearity is addressed by transforming one of the independent variables.
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Heteroscedasticity occurs when one of the dependent variables is linearly related to the independent variable.
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Heteroscedasticity is addressed by transforming both the dependent and the independent variables.
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It is okay to include irrelevant variables as long as they are significant.
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The effect of omitting a relevant variable is to inflate the value of variables that are included.
Question
Autocorrelation is common with time series data.
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Deck 15: Multiple Regression
1
Multiple regression is one of the most widely used multivariate statistical techniques for analyzing three or more variables.
True
2
Full model specification means that all variables are measured that affect the dependent variable.
False
3
A nomothetic mode of explanation isolates the most important factors.
True
4
The search for parsimonious explanations often leads analysts to first identify different categories of factors that most affect their dependent variable.
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5
The error term accounts for all variables not specified in the model.
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6
The assumption of full model specification is that variables not specified in the model are justifiably omitted only when their cumulative effect on the dependent variable is zero.
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7
Each of the regression coefficients is interpreted as its effect on the dependent variable, controlled for the effect of all of the other independent variables included in the regression.
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8
It is okay for independent variables not to be correlated with the dependent variables, as long as they are highly correlated with each other.
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9
The error term plot shows the relationship between the predicted dependent variable and the error term.
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10
The lack of a pattern in the error term plot that is distributed around (0,0) indicates that the net effect of all variables excluded from the model on the dependent variable is zero.
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11
In multiple regression, the adjusted R2 controls for the number of dependent variables.
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12
Values of R2 adjusted below .20 are considered to suggest weak model fit, those between .20 and .40 indicate moderate fit, those above .40 indicate strong fit, and those above .65 indicate very strong model fit.
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13
Standardized coefficients enable analysts to draw inferences about the relative impact of different independent variables on the dependent variable.
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14
It is common to compare β coefficients across different models.
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15
The global F-test examines the overall effect of all independent variables jointly on the dependent variable.
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16
A dummy variable can have only two values.
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17
If a nominal variable has five categories, an analyst would include up to four dummy variables in a regression model.
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18
The regression coefficient of a dummy variable is interpreted as the effect of that variable on the dependent variable, controlled for all other variables in the model.
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19
Outliers can affect the slope of regression coefficients.
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20
Outliers are observations whose multiple regression residuals exceed three standard deviations.
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21
When two variables are multicollinear, they are strongly correlated with each other.
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22
When two variables are strongly correlated with each other, they are also multicollinear.
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23
Curvelinearity is indicated by residuals that are linearly related to each other.
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24
Curvelinearity is addressed by transforming one of the independent variables.
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25
Heteroscedasticity occurs when one of the dependent variables is linearly related to the independent variable.
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26
Heteroscedasticity is addressed by transforming both the dependent and the independent variables.
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27
It is okay to include irrelevant variables as long as they are significant.
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28
The effect of omitting a relevant variable is to inflate the value of variables that are included.
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29
Autocorrelation is common with time series data.
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