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Practice Quiz Chapter 12
Quiz Content
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Of the following selections, which of the following can't be said about multiple regression?
a) It accounts for the multiple relationships between independent variables
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b) It allows researchers to sort out how much of the variation in the dependent variable is attributable to each independent variable alone
correct
incorrect
c) It does not allow researchers to sort out how much of the variation in the dependent variable is attributable to each independent variable alone
correct
incorrect
d) It allows for the researcher to control for other independent variables used in a regression
correct
incorrect
e) It predicts the relationship between each independent variable and the dependent variable, while holding constant the other independent variables in the regression
correct
incorrect
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Which one of the following selections is not useful for understanding the idea of "controlling for" or "holding constant"?
a) The slope coefficient shows the predicted changes in the independent variable from an dependent variable while controlling for another dependent variable
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b) The slope coefficient shows the predicted changes in the dependent variable due to an independent variable while controlling for another independent variable
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c) It shows the changes in the dependent variable due an independent variable while holding another independent variable constant
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incorrect
d) The predicted value on the dependent variable is shown on the vertical axis
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e) The general pattern of multiple regression predicted is the equivalent of a two-dimensional flat plane in 3-D
correct
incorrect
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What is the formula for using multiple regression predict a value for the dependent variable?
a) y = a + b1x1+ b2x2
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b) ? = a + b1x1+ b2x2
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c) x = a + b1x1+ b2x2
correct
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d) ? = a + b1x1+ b2x2
correct
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e) ? = b + a1x1+ a2x2
correct
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One of the following selections is not true of multiple regressionwhich one is it?
a) Lets researchers sort out the unique relationship between each independent variable and the dependent variable while accounting for all the relationships between all the independent variables
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b) There will be a single constant coefficient which shows the value of the dependent variable when all the independent variables are zero
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c) Each independent variable will have a slope coefficient which shows the change in the dependent variable associated with a one-unit increase in the independent variable after control for the other independent variables
correct
incorrect
d) There will be two constant coefficients which both show the value of the dependent variable when all the independent variables are zero
correct
incorrect
e) Multiple regression can incorporate many independent variables
correct
incorrect
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What is model specification?
a) Specifying whether the regression relies on independent or dependent variables
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b) Choosing the regression model that best fits the data
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c) The decision researchers make about how many dependent variables to include in the regression
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d) The decisions researchers make about which dependent variables to use in regression
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e) The decisions researchers make about which independent variables to use in regression
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incorrect
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One of the following selections is not a step necessary for calculating the predicted value on the dependent variable using multiple linear regressionwhich one is it?
a) Identify the constant coefficient from the multiple linear regression
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b) Identify the slope coefficient of the first dependent variable in the multiple linear regression
correct
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c) Identify the slope coefficient of the first independent variable in the multiple linear regression
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d) Multiply the slope coefficient of the first independent variable by the value on the first independent variable for the specific case
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e) Identify the value on the first independent variable for the specific case you want to make a prediction for
correct
incorrect
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How is it possible to estimate the proportion of the relationship between an independent variable and a dependent variable that is unique to that independent variable alone?
a) By accounting for the correlations between each of the independent variables and the correlations between the other independent variables and the dependent one
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b) By accounting for the correlations between each of the dependent variables and the correlations between the other independent variables and the dependent one
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c) By accounting for the correlations between the dependent variables and at least three independent variables
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d) By accounting for the correlations between the independent variable and at least three dependent variables
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e) By accounting for the correlations between a ratio-level variable and a nominal-level one
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Calculate the constant coefficient for multiple linear regression using the following information: the mean of variable 1 is -437.55, the mean of variable 2 is 6.50, the partial slope coefficient for variable 1 is 27.12, the partial slope coefficient for variable 2 is 862.74, and ? is 45,476.81? What is a?
a) 517,356
correct
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b) 0.51736
correct
incorrect
c) 517.36
correct
incorrect
d) 5,1735.36
correct
incorrect
e) 51,735.36
correct
incorrect
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Calculate the constant coefficient for multiple linear regression using the following information: the mean of variable 1 is 1437.55, the mean of variable 2 is 676.50, the partial slope coefficient for variable 1 is 47.12, the partial slope coefficient for variable 2 is 36.36, and ? is 155,876? What is a?
a) 63,541.10
correct
incorrect
b) 6,351.10
correct
incorrect
c) 635, 410
correct
incorrect
d) 6,354,100
correct
incorrect
e) 6.35
correct
incorrect
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Calculate the partial slope coefficient for multiple linear regression using the following information: the correlation between the first independent variable and the dependent variable is 0.5967, the correlation between the first independent variable and the second one is 0.2751, the correlation between the second independent variable and the dependent variable is 0.3614, and, finally, the standard deviation of the dependent variable is 34970.38 and the standard deviation for the first independent variable is 693.84. What is bx1?
a) 271.2
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b) 2.71
correct
incorrect
c) 27.12
correct
incorrect
d) 2,712
correct
incorrect
e) 21.27
correct
incorrect
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Calculate the partial slope coefficient for the second independent variable using the same information from the question above. What is bx2?
a) 86,274.40
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b) 8.627
correct
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c) 8,627.40
correct
incorrect
d) 862,740
correct
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e) 862.74
correct
incorrect
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What is a beta coefficient?
a) A non-standardized slope coefficient
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b) A non-standardized partial slope coefficient
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c) A standardized partial slope coefficient
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d) A standardized slope coefficient
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e) A standardized multiple regression
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When thinking about standardized slope coefficients, if one standard deviation of the variable "people's annual wages" is $34,970.38 then how many standard deviations is $27.13?
a) 0.000776
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b) 0.076
correct
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c) 0.0076
correct
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d) 0.776
correct
incorrect
e) 0.0000776
correct
incorrect
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When thinking about standardized slope coefficients again, if one standard deviation of the variable "number of hours worked on the job" is 693.84 then how many standard deviations is 1 hour?
a) 0.1441
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b) 0.001441
correct
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c) 1,414
correct
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d) 0.000141
correct
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e) 0.0000141
correct
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Which of the following statements can't be said about ß?
a) It makes it possible to compare the relative strength of the relationship between different independent variables and the dependent variable
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b) The ß incorporates the slope coefficient of an independent variable
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c) The ß incorporates the standard deviation of that independent variable
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d) The ß incorporates the standard deviation of that dependent variable
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e) The ß incorporates the slope coefficient of the dependent variable
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Researchers consider several things when they decide which attribute or category to use as a reference groupwhich one of the following selections is not one of these things?
a) Researchers only need to create one dummy variable for categorical variables with only two attributes
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b) A relatively high proportion of cases should have the attribute
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c) A relatively low proportion of cases should have the attribute
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d) Choosing an attribute that is theoretically useful to make comparisons with is also important
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e) Avoid using general categories such as "other" or "something else"
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What are dummy variables?
a) Variables capable of incorporating count variables as independent variables in regression equations
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b) Variables capable of incorporating categorical variables as independent variables in regression equations
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c) Variables capable of incorporating continuous variables as independent variables in regression equations
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d) Variables capable of incorporating categorical variables as dependent variables in regression equations
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e) Variables capable of incorporating ratio-level variables as independent variables in regression equations
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What does rescaling a variable mean?
a) To adjust the units of the slope coefficient
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b) To adjust the units for both the independent and the dependent variable
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c) To adjust the units of the correlation coefficient
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d) To adjust the units of an dependent variable
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e) To adjust the units of an independent variable
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Reporting the results of regressions requires some additional writing strategieswhich of the following selections is not one of them?
a) Always note that each slope coefficient predicts the relationship between the respective independent variable and the dependent variable, controlling for the other independent variables in the regression
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b) Don't list every single independent variable utilized if there are too many for a reasonable review of each one
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c) List all the independent variables the first time you mention controlling in a paragraph, then simply say "controlling for the other variables in the model" in the remainder of the paragraph
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d) If you are using dummy variables to incorporate a categorical independent variable into a regression, you only need to list the original categorical variable and not each of the dummy variables individually
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e) List all the independent variables every time you mention them in the results
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What is another name for dummy variables?
a) Dichotomous
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b) Independent binary
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c) Categorical binary
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d) Binary categorical
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e) Unitary categorical
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In Canadian surveys, the measurement of disability relies on assessing how much difficulty a person has doing everyday tasks and how often these difficulties limit their daily activities; the definition does not consider self-identification.
a) True
correct
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b) False
correct
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The best way to assess how multiple independent variables are related to a dependent variable is to perform a series of simple linear regressions that each predict the relationship between a different independent variable and the same dependent variable.
a) True
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b) False
correct
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The plane of best fit for multiple linear regression is the one that minimizes the sum of squared differences of each case from the plane.
a) True
correct
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b) False
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A multiple regression predicts the plane of best fit, but it is still a linear regression because it predicts straight-line relationships between variables.
a) True
correct
incorrect
b) False
correct
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Subscript numbers are used to keep track of the different dependent variables and their respective slope coefficients.
a) True
correct
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b) False
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The multiple regression determines how much of the variation in the dependent variable is uniquely attributable to each independent variable alone, and accounts for correlation between them.
a) True
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b) False
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The main advantage of using multiple regression is that it lets researchers sort out the unique relationship between each independent variable and the dependent variable, while accounting for the relationships between all the independent variables.
a) True
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b) False
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Researchers seek to build regression models that capture all the predictors of an independent variable but exclude non-meaningful dependent variables.
a) True
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b) False
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The starting point for selecting independent variables should always be the most current knowledge about what the dependent variable is related to.
a) True
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b) False
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Typically, omitting an important independent variable from a regression makes the slope coefficients of other independent variables higher or lower than they would be if the variable were not omitted.
a) True
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b) False
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Concerns about model specification and omitted variable bias motivate researchers to carefully consider which independent variables they will use in a regression.
a) True
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b) False
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To account for correlation between two independent variables in multiple regression, researchers rely on two other relationships: the Pearson's correlation between two independent variables and the Pearson's correlation between the second independent variable and the dependent one.
a) True
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b) False
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Standardized slope coefficients are necessary when slope coefficients are all measured in the same units.
a) True
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b) False
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A standardized slope coefficient shows the "rise" in the dependent variable measured in standard deviations associated with a one standard deviation increase in the independent variable.
a) True
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b) False
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Independent variables with two different standard deviations have different potential influences on the dependent variable.
a) True
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b) False
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The independent variable with the largest absolute standardized slope coefficient has the weakest relationship with the dependent variable.
a) True
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b) False
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When an independent variable is a dummy variable the regression slope coefficient shows the change in the dependent variable associated with having some characteristic.
a) True
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b) False
correct
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Categorical variables with more than two attributes can also be used as independent variables in a regression using more dummy variables.
a) True
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b) False
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Researchers typically create dummy variables by recoding the original variable into new variables multiple times.
a) True
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b) False
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Researchers tend to spend very little time developing and refining multiple regression models as they try to use these models to accurately capture the social characteristics and processes related to the dependent variable.
a) True
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b) False
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