Question 1

When a relationship between two variables is significant, but disappears when a third control variable is introduced, it is considered a
A) spurious relationship
B) antecedent relationship
C) intervening relationship
D) suppressor relationship

Accepted Answer

When a relationship between two variables disappears or becomes weaker when a third control variable is introduced, it is known as a spurious relationship. This is because the initial relationship was not a causal one but was influenced by the presence of the third variable which acted as a confounding variable. The control variable was responsible for suppressing the initial relationship between the variables of interest.

Question 2

A partial correlation is the relationship between X and Y when a control variable is introduced.

Accepted Answer

A partial correlation is a measure of the relationship between two variables while controlling for the effects of one or more additional variables.

Question 3

Here is some output from a regression analysis:
 $\text { Model Summary }$
$\begin{array}{|l|r|r|}
\hline & R & R \text { Square } \
\hline & .436^{a} & .190 \
\hline
\end{array}$
a. Predictors: (Constant), Age When First Married, 
Number of Brothers and Sisters, Age of Respondent $\begin{array}{|l|r|r|r|}
\hline 
&\text { Standardized } \
&\text { Coefficients }\
Model&\text { Beta } &  t& {\text { Sig. }} \
\hline 
1 \quad  \text{Number of Brothers and Sisters}&.152 & 5.787 & .000 \
 ~\quad\text{Age of Respondent}&.299 & 11.338 & .000 \
~ \quad\text{Age When First Married}&-.283 & -10.802 & .000 \
\hline
\end{array}$
-What is the research question that is being analyzed here?

Accepted Answer

Is there a relationship between the number of children respondents have and the number of siblings they have, their age, and the age when first married?

Question 4

Here is some output from a regression analysis: $\text { Model Summary }$ $\begin{array}{|l|r|r|} \hline & R & R \text { Square } \ \hline & .436^{a} & .190 \ \hline \end{array}$ a. Predictors: (Constant), Age When First Married, Number of Brothers and Sisters, Age of Respondent $\begin{array}{|l|r|r|r|} \hline &\text { Standardized } \ &\text { Coefficients }\ Model&\text { Beta } & t& {\text { Sig. }} \ \hline 1 \quad \text{Number of Brothers and Sisters}&.152 & 5.787 & .000 \ ~\quad\text{Age of Respondent}&.299 & 11.338 & .000 \ ~ \quad\text{Age When First Married}&-.283 & -10.802 & .000 \ \hline \end{array}$ -Put into words what R² is telling us:

Accepted Answer

The answer of Here is some output from a regression...

Question 5

Here is some output from a regression analysis:
 $\text { Model Summary }$
$\begin{array}{|l|r|r|}
\hline & R & R \text { Square } \
\hline & .436^{a} & .190 \
\hline
\end{array}$
a. Predictors: (Constant), Age When First Married, 
Number of Brothers and Sisters, Age of Respondent $\begin{array}{|l|r|r|r|}
\hline 
&\text { Standardized } \
&\text { Coefficients }\
Model&\text { Beta } &  t& {\text { Sig. }} \
\hline 
1 \quad  \text{Number of Brothers and Sisters}&.152 & 5.787 & .000 \
 ~\quad\text{Age of Respondent}&.299 & 11.338 & .000 \
~ \quad\text{Age When First Married}&-.283 & -10.802 & .000 \
\hline
\end{array}$
-Which of the three independent variables is the best predictor? How can you tell?

Accepted Answer

The answer of Here is some output from a regression...

Question 6

Here is some output from a regression analysis:
 $\text { Model Summary }$
$\begin{array}{|l|r|r|}
\hline & R & R \text { Square } \
\hline & .436^{a} & .190 \
\hline
\end{array}$
a. Predictors: (Constant), Age When First Married, 
Number of Brothers and Sisters, Age of Respondent $\begin{array}{|l|r|r|r|}
\hline 
&\text { Standardized } \
&\text { Coefficients }\
Model&\text { Beta } &  t& {\text { Sig. }} \
\hline 
1 \quad  \text{Number of Brothers and Sisters}&.152 & 5.787 & .000 \
 ~\quad\text{Age of Respondent}&.299 & 11.338 & .000 \
~ \quad\text{Age When First Married}&-.283 & -10.802 & .000 \
\hline
\end{array}$
-At your press conference, what would you tell the eager reporters about what you found in your study?

Accepted Answer

The answer of Here is some output from a regression...

Quiz 9: Analyzing Data: Multiple Variables

When a relationship between two variables is significant, but disappears when a third control variable is introduced, it is considered a

A partial correlation is the relationship between X and Y when a control variable is introduced.