# Quiz 14: Multivariate Analysis

Political Science

Q 1Q 1

__________ means the strength, direction, and nature of the X-Y relationship depends on levels of the control variable.
A) Interaction
B) Multivariate
C) Control by grouping
D) Multicolinearity

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Multiple Choice

A

Q 2Q 2

___________ means that there is constant variance, or that the variation in Y is the same at each level of X.
A) Multicolinearity
B) Spurious
C) Homoscedasticity
D) Interaction

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Multiple Choice

C

Q 3Q 3

A ___________ variable is a hypothetical index that has just two values: 0 for the presence (or absence) of a factor and 1 for its absence (or presence).
A) Control
B) Third
C) Quantitative
D) Dummy

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Multiple Choice

D

Q 4Q 4

Each of the following is an important assumption about the errors terms in regression except:
A) Errors are uncorrelated with any X
B) Errors are systematic
C) Errors are mutually independent
D) The expected value of the errors is 0

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Multiple Choice

Q 5Q 5

A multivariate regression analysis requires a dependent variable with which level of measurement?
A) Nominal or ordinal
B) Nominal or ratio
C) Ordinal or interval
D) Interval or ratio

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Multiple Choice

Q 6Q 6

A _____________ relationship is one in which the association between two variables is caused by a third.
A) Causal
B) Spurious
C) Spatial
D) Logistic

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Multiple Choice

Q 7Q 7

A regression coefficient calculated from standardized variables is called a _________ regression coefficient, or, sometimes, a beta weight, and under certain, restricted circumstances might indicate the relative importance of each independent variable in explaining the variation in the dependent variable when controlling for all the other variables.
A) Standardized
B) Regularized
C) Interacted
D) Transformed

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Multiple Choice

Q 8Q 8

Each of the following is an important assumption about the errors terms in regression except:
A) Errors are uncorrelated with any X
B) Errors are systematic
C) Errors are mutually independent
D) The expected value of the errors is 0

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Multiple Choice

Q 9Q 9

In a multivariate cross-tabulation, we control for a third variable by ________.
A) Selection
B) Variance
C) Grouping
D) Means

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Multiple Choice

Q 10Q 10

Each of the following is key assumptions about the error term in a regression model, except:
A) Error variance is not constant (heteroscedasticity)
B) The expected value of the errors is 0: E(

_{i}) = 0 C) Errors are mutually independent: The correlation of _{i}with _{j}is zero D) Errors are uncorrelated with any XFree

Multiple Choice

Q 11Q 11

A logistic regression requires a ____________ dependent variable.
A) Ratio level
B) Dichotomous
C) Continuous
D) Constant

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Multiple Choice

Q 12Q 12

The results from a standardized regression and the results from an unstandardized regression are similar in each of the following ways, except:
A) r will be interpreted the same way
B) R

^{2}will be interpreted the same way C) The constant is interpreted the same way D) t-Tests are interpreted the same wayFree

Multiple Choice

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Short Answer

Q 14Q 14

In a ____________ model, the expected value of the binary dependent variable or (what is the same thing) the probability that Y equals 1 is a linear function of the independent variables.

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Short Answer

Q 15Q 15

_______ regression is a nonlinear model in which the log odds of one response as opposed to another is the dependent variable.

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Short Answer

Q 16Q 16

To measure goodness of fit with a logistic regression, we commonly use ________ R squared instead of R squared.

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Short Answer

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Essay

Q 18Q 18

When analyzing data with a regression, statisticians are often concerned with the residuals. What are residuals and why are they important?

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Essay

Q 19Q 19

Please explain how you can control the effects of a third variable in a multivariate cross-tabulation by grouping.

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Q 20Q 20

How would you test for statistical significance when performing a regression analysis using a t-test?

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Q 21Q 21

What is the advantage of using a multiple regression to measure the relationships between three independent variables and a dependent variable instead of using three bivariate regressions to measure the relationships between each of the three independent variables and the dependent variable?

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Q 22Q 22

Why is each β term in a multiple regression equation called a partial regression coefficient?

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Q 23Q 23

How can we use a nominal level variable like region (East, West, South, and Midwest) in a regression analysis? How would you manipulate the variable for inclusion in the regression equation?

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Q 24Q 24

How does standardizing a variable affect the interpretation of the variable in a regression?

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Q 26Q 26

Please interpret the following multiple regression output table by indicating how you would interpret all of the statistics and coefficients we discussed in class. Make sure you interpret the relationship between each independent variable and the dependent variable and assess statistical significance.

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