Question 1

To obtain the t-statistic of a regression equation, one must ______.

Accepted Answer

A)  divide the standard error of the slope by the partial slope coefficient 
B)  divide the partial slope coefficient by the standard error of the slope 
C)  divide the mean square for the regression model by the mean square for the residuals 
D)  divide the mean square for the residual by the mean square for the regression model 
A)  divide the standard error of the slope by the partial slope coefficient 
B)  divide the partial slope coefficient by the standard error of the slope 
C)  divide the mean square for the regression model by the mean square for the residuals 
D)  divide the mean square for the residual by the mean square for the regression model B

Question 2

You can determine which independent variable has the strongest effect on the dependent variable by comparing unstandardized partial slope coefficients.

Accepted Answer

A) True 
 B)False  False

Question 3

Which of the following is NOT an assumption of the multivariate regression model?

Accepted Answer

A)  The dependent variable is measured at the interval/ratio level. 
B)  The relationship between the independent and dependent variables is linear. 
C)  The independent variables are not highly correlated among themselves. 
D)  The error term is correlated with each of the independent variables. 
A)  The dependent variable is measured at the interval/ratio level. 
B)  The relationship between the independent and dependent variables is linear. 
C)  The independent variables are not highly correlated among themselves. 
D)  The error term is correlated with each of the independent variables. D

Question 4

When the independent variables are too highly correlated in a regression equation, they are considered to be?

Accepted Answer

A)  partial coefficients 
B)  spurious 
C)  inter-leveraging 
D)  multicollinear 
A)  partial coefficients 
B)  spurious 
C)  inter-leveraging 
D)  multicollinear

Question 5

The following diagram suggests that the relationship between X and Y is spurious due to Z

Accepted Answer

A) True 
 B)False

Question 6

To use the multiple regression equation the dependent variables and all of the independent variables have to be measured at the interval or ratio level.

Accepted Answer

A) True 
 B)False

Question 7

One remedy for multicollinearity is to ______.

Accepted Answer

A)  remove all of the troublesome variables 
B)  increase the sample size 
C)  remove one of the troublesome variables and re-estimate the equation 
D)  obtain the partial slope coefficient 
A)  remove all of the troublesome variables 
B)  increase the sample size 
C)  remove one of the troublesome variables and re-estimate the equation 
D)  obtain the partial slope coefficient

Question 8

With a regression equation with two independent variables, an R2 of .42 indicates that ______.

Accepted Answer

A)  both of the independent variables explain 18% of the variation in the dependent variable 
B)  both of the independent variables cause 42% of the dependent variable 
C)  both of the independent variables explain 42% of the variation in the dependent variable 
D)  both of the independent variables cause 18% of the dependent variable 
A)  both of the independent variables explain 18% of the variation in the dependent variable 
B)  both of the independent variables cause 42% of the dependent variable 
C)  both of the independent variables explain 42% of the variation in the dependent variable 
D)  both of the independent variables cause 18% of the dependent variable

Question 9

For Model 1, the R2 equals .23 and for Model 2 the R2 = .35. This means that ______.

Accepted Answer

A)  Model 2 explains an extra 12% of the variation in the dependent variable 
B)  Model 1 explains an extra 12% of the variation in the dependent variable 
C)  Model 1 was spurious and thus not explaining enough of the variation in the dependent variable 
D)  Model 1 was multicollinear and thus not explaining enough of the variation in the dependent variable 
A)  Model 2 explains an extra 12% of the variation in the dependent variable 
B)  Model 1 explains an extra 12% of the variation in the dependent variable 
C)  Model 1 was spurious and thus not explaining enough of the variation in the dependent variable 
D)  Model 1 was multicollinear and thus not explaining enough of the variation in the dependent variable

Question 10

The null hypothesis of a regression equation with three independent variables can be stated as ______.

Accepted Answer

A) $\beta_{1}, \beta_{2}, \beta_{3} \neq 0$ B) $\beta_{1}, \beta_{2}, \beta_{3}=0$ C) $\beta_{1}, \beta_{2}, \beta_{3}>0$ D) $\beta_{1}, \beta_{2}, \beta_{3}<0$ A) $\beta_{1}, \beta_{2}, \beta_{3} \neq 0$ B) $\beta_{1}, \beta_{2}, \beta_{3}=0$ C) $\beta_{1}, \beta_{2}, \beta_{3}>0$ D) $\beta_{1}, \beta_{2}, \beta_{3}<0$

Question 11

Which of the following is NOT one of the things that need to exist before we conclude that a causal connection exists between two variables?

Accepted Answer

A)  nonspuriousness 
B)  correlation 
C)  temporal order 
D)  multicollinearity 
A)  nonspuriousness 
B)  correlation 
C)  temporal order 
D)  multicollinearity

Question 12

As compared to the R2, the adjusted R2 ______.

Accepted Answer

A)  takes into account the number of observations 
B)  takes into account multicollinearity 
C)  takes into account spuriousness 
D)  takes into account the number of independent variables in the regression equation 
A)  takes into account the number of observations 
B)  takes into account multicollinearity 
C)  takes into account spuriousness 
D)  takes into account the number of independent variables in the regression equation

Question 13

Why is multicollinearity a problem?

Accepted Answer

A)  It induces a spurious relationship between the independent variables and the dependent variables. 
B)  It is difficult to identify which of the collinear variables are influencing the dependent variable. 
C)  It increases type I error. 
D)  It reduces the standard errors. 
A)  It induces a spurious relationship between the independent variables and the dependent variables. 
B)  It is difficult to identify which of the collinear variables are influencing the dependent variable. 
C)  It increases type I error. 
D)  It reduces the standard errors.

Question 14

Calculation of the standardized partial slopes is obtained by ______.

Accepted Answer

A)  dividing the standard deviation of the dependent variable by the standard deviation of the independent variable 
B)  dividing the standard deviation of the independent variable by the standard deviation of the dependent variable 
C)  dividing the variance of the dependent variable by the variance of the independent variable 
D)  dividing the variance of the independent variable by the variance of the dependent variable 
A)  dividing the standard deviation of the dependent variable by the standard deviation of the independent variable 
B)  dividing the standard deviation of the independent variable by the standard deviation of the dependent variable 
C)  dividing the variance of the dependent variable by the variance of the independent variable 
D)  dividing the variance of the independent variable by the variance of the dependent variable

Question 15

The following diagram suggests that the relationship between X and Y is properly temporally ordered where the independent variables comes before the dependent variable.

Accepted Answer

A) True 
 B)False

Question 16

Given a multiple regression model with four independent variables, which of the following standardized partial slopes would have the strongest relationship with the dependent variable.

Accepted Answer

A)  3.25 
B)  1.26 
C)  -2.36 
D)  -4.65. 
A)  3.25 
B)  1.26 
C)  -2.36 
D)  -4.65.

Question 17

A partial slope coefficient is ______.

Accepted Answer

A)  the effect of the independent variable on the dependent variable 
B)  the effect of the independent variable on the dependent variable after controlling for other independent variables 
C)  the partial effect of the independent variable on the dependent variable 
D)  the effect of the dependent variable on the independent variable 
A)  the effect of the independent variable on the dependent variable 
B)  the effect of the independent variable on the dependent variable after controlling for other independent variables 
C)  the partial effect of the independent variable on the dependent variable 
D)  the effect of the dependent variable on the independent variable

Question 18

Explain the issues that arise with multicollinearity.

Accepted Answer

(Answers need to include inability to de

Question 19

In a study, researchers find that ice cream consumption predicts increased crime. However, once they control for summertime (which also predicts crime), the relationship goes away. This is an example of ______.

Accepted Answer

A)  nonspuriousness 
B)  temporal order 
C)  correlation 
D)  spuriousness 
A)  nonspuriousness 
B)  temporal order 
C)  correlation 
D)  spuriousness

Question 20

A researcher is analyzing whether the rate of unlawful breaking is effected by the percent of poverty, percent male, percent nonwhite, and the percent of individuals between the ages of 15 and 24 residing in the census block. Given the following SPSS output, what would the researcher conclude? State the null and alternative hypotheses, discuss the F-statistic, the R2, R2 change, the beta coefficients, and which variable significantly affect the dependent variable.
 $\begin{array}{|l|l|l|l|l|l|l|l|l|l|}
\hline\
\hline  \text { Mod } & & \text { R } & \text { Adjust } & \text { Std. Error } & \text { R } & & & &\text { Sig. F }\
&&\text { Squar } & \text { ed R } & \text { of the } & \text { Square } & & & \
\text { el } & \text { S } & \text { e } & \text { Square} & \text {  Estimate } & \text { Change } & \text { F Change } & \text { df1 } & \text { df2 } & \text { Change } \\
\hline 1 & .195^{\mathrm{a}} & .038 & .031 & 1843.30459 & .038 & 5.294 & 2 & 267 & .006 \
2 & 407 \mathrm{~b} & 166 & 153 & 1723.12310 & 128 & 20.272 & 2 & 265 & .000\
\hline
\end{array}$ a. Predictors: (Constant), percent nonwhite, percent poverty
b. Predictors: (Constant), percent nonwhite, percent poverty, percent 15 to 24, percent male $\begin{array}{|l|l|l|l|l|l|} 
\hline \text { Model }& \text {Sum of Squares } & \text { df } & \text { Mean Square }& \text { F }& \text { Sig. }  \
\hline 1 \text { Regression } & 35977621.414 & 2 & 17988810.707 &5.294 & .006^{\mathrm{b}} \
\text { Residual } & 907205072.766 & 267 & 3397771.808 \
\text { Total } & 943182694.179 & 269 & \
\hline 2 \text { Regression } & 156357090.146 & 4 & 39089272.537&13.165 & .000^{\mathrm{c}} \
\text { Residual } & 786825604.033 & 265 & 2969153.223 \
\text { Total } & 943182694.179 & 269 & \
\hline
\end{array}$ a. Dependent Variable: rateofubev
b. Predictors: (Constant), percent nonwhite, percent poverty
c. Predictors: (Constant), percent nonwhite, percent poverty, percent 15 to 24, percent male $\begin{array}{l}
 
\begin{array}{|l|l|l|l|}
\hline &\text { Unstandardized }&&\text { Standardized }\
 &\text { Coefficients }& &\text { Coefficients }\
\hline  \text { Model }& \text { B } & \text { Std. Error }&\text { Beta } \
\hline1\text { (Constant) } & 76.230 & 258.075 \
\text { percentpoverty } & 27.276 & 8.606&.239 \
\hline \text { percentnonwhite } & -5.544 & 4.157&-.101 \
\hline 2\text { (Constant) } & -5080.529 & 1006.335 \
\text { percentpoverty } & 21.254 & 8.173 &.186\
\hline \text { percentnonwhite } & 246 & 3.991 &.004 \
\text { percent15to24 } & -39.467 & 17.899&-.126 \
\text { percentmale } & 116.906 & 19.763&.340\
\hline
\end{array}
\begin{array}{l|l|}
\hline\
\
 t & \text { Sig. } \
\hline .295 & .768 \
3.169 & .002 \
\hline-1.334 & .183 \
\hline-5.049 & .000 \
2.601 & .010 \
\hline .062 & .951 \
\hline-2.205 & .028 \
5.916 & .000 \
\hline
\end{array}
\end{array}$ a. Dependent Variable: rateofubev

Accepted Answer

*H₀ : β₁, β₂, β₃, β₄ = 0 or R² = 0 H₁ : β₁, β₂, β

To obtain the t-statistic of a regression equation, one must ______.

You can determine which independent variable has the strongest effect on the dependent variable by comparing unstandardized partial slope coefficients.

Which of the following is NOT an assumption of the multivariate regression model?

When the independent variables are too highly correlated in a regression equation, they are considered to be?

The following diagram suggests that the relationship between X and Y is spurious due to Z

To use the multiple regression equation the dependent variables and all of the independent variables have to be measured at the interval or ratio level.

One remedy for multicollinearity is to ______.

With a regression equation with two independent variables, an R2 of .42 indicates that ______.

For Model 1, the R² equals .23 and for Model 2 the R² = .35. This means that ______.

The null hypothesis of a regression equation with three independent variables can be stated as ______.

Which of the following is NOT one of the things that need to exist before we conclude that a causal connection exists between two variables?

As compared to the R2, the adjusted R2 ______.

Why is multicollinearity a problem?

Calculation of the standardized partial slopes is obtained by ______.

The following diagram suggests that the relationship between X and Y is properly temporally ordered where the independent variables comes before the dependent variable.

Given a multiple regression model with four independent variables, which of the following standardized partial slopes would have the strongest relationship with the dependent variable.

A partial slope coefficient is ______.

Explain the issues that arise with multicollinearity.

In a study, researchers find that ice cream consumption predicts increased crime. However, once they control for summertime (which also predicts crime), the relationship goes away. This is an example of ______.

The Importance of Statistics in the Criminological Sciences or Why Do I Have to Learn This Stuff

Levels of Measurement and Aggregation

Data Visualization Techniques: Ways of Understanding Data Distributions

Measures of Central Tendency

Measures of Dispersion

Probability, Probability Distributions, and an Introduction to Inferential Statistics

Point Estimation and Confidence Intervals

From Estimation to Statistical Tests: Hypothesis Testing for One Population Mean and Proportion

Testing Hypotheses With Categorical Data

Hypothesis Tests Involving Two Population Means or Proportions

Hypothesis Involving Three or More Population Means: Analysis of Variance

Bivariate Correlation and Regression

Regression Analysis With a Dichotomous Dependent Variable: Logit Models

Filters

Exam 13: Controlling for a Third Variable: Multiple OlS Regression

To obtain the t-statistic of a regression equation, one must ______.

You can determine which independent variable has the strongest effect on the dependent variable by comparing unstandardized partial slope coefficients.

Which of the following is NOT an assumption of the multivariate regression model?

When the independent variables are too highly correlated in a regression equation, they are considered to be?

The following diagram suggests that the relationship between X and Y is spurious due to Z

To use the multiple regression equation the dependent variables and all of the independent variables have to be measured at the interval or ratio level.

One remedy for multicollinearity is to ______.

With a regression equation with two independent variables, an R2 of .42 indicates that ______.

For Model 1, the R2 equals .23 and for Model 2 the R2 = .35. This means that ______.

The null hypothesis of a regression equation with three independent variables can be stated as ______.

Which of the following is NOT one of the things that need to exist before we conclude that a causal connection exists between two variables?

As compared to the R2, the adjusted R2 ______.

Why is multicollinearity a problem?

Calculation of the standardized partial slopes is obtained by ______.

The following diagram suggests that the relationship between X and Y is properly temporally ordered where the independent variables comes before the dependent variable.

Given a multiple regression model with four independent variables, which of the following standardized partial slopes would have the strongest relationship with the dependent variable.

A partial slope coefficient is ______.

Explain the issues that arise with multicollinearity.

In a study, researchers find that ice cream consumption predicts increased crime. However, once they control for summertime (which also predicts crime), the relationship goes away. This is an example of ______.

The Importance of Statistics in the Criminological Sciences or Why Do I Have to Learn This Stuff

Levels of Measurement and Aggregation

Data Visualization Techniques: Ways of Understanding Data Distributions

Measures of Central Tendency

Measures of Dispersion

Probability, Probability Distributions, and an Introduction to Inferential Statistics

Point Estimation and Confidence Intervals

From Estimation to Statistical Tests: Hypothesis Testing for One Population Mean and Proportion

Testing Hypotheses With Categorical Data

Hypothesis Tests Involving Two Population Means or Proportions

Hypothesis Involving Three or More Population Means: Analysis of Variance

Bivariate Correlation and Regression

Regression Analysis With a Dichotomous Dependent Variable: Logit Models

Filters

For Model 1, the R² equals .23 and for Model 2 the R² = .35. This means that ______.