Deck 13: Regression Analysis
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Deck 13: Regression Analysis
1
Linear regression analysis goes beyond Pearson's product moment correlation because of its ability to _________________ the value of one variable from another variable.
A) predict
B) lower
C) raise
D) correlate
A) predict
B) lower
C) raise
D) correlate
A
2
_________________ uses correlation as a basis to predict the value of one variable from the value of a second variable or combination of several variables.
A) linear regression analysis
B) multilinear regression analysis
C) curvilinear regression analysis
D) correlation
A) linear regression analysis
B) multilinear regression analysis
C) curvilinear regression analysis
D) correlation
A
3
A ___________________ can be used to estimate what the dependent variable would be if you know the value of the independent variable.
A) X-Y relationship line
B) regression line
C) correlation line
D) fitting line
A) X-Y relationship line
B) regression line
C) correlation line
D) fitting line
B
4
_______________________ occurs when there is a strong relationship among the independent variables in a multiple regression.
A) multicollinearity
B) variance of inflation
C) normality
D) homoscedasticity
A) multicollinearity
B) variance of inflation
C) normality
D) homoscedasticity
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5
The _______________________ is a line of the plot which best represents the pattern of the relationship.
A) X-Y relationship line
B) correlation line
C) line of best fit
D) fitting line
A) X-Y relationship line
B) correlation line
C) line of best fit
D) fitting line
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6
In the regression equation, when X = 0 , what is the value of Y?
A) a
B) b
C) X
D) Y
A) a
B) b
C) X
D) Y
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7
What element of the regression equation provides information about the direction of the relationship?
A) X
B) Y
C) a
D) b
A) X
B) Y
C) a
D) b
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8
Simple linear regression assumes that the relationship between in the independent and dependent variables is linear. This assumption is known as what?
A) Linear requirement
B) Linearity
C) Bivariate linearity
D) Linear development
A) Linear requirement
B) Linearity
C) Bivariate linearity
D) Linear development
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9
Jennifer is performing an analysis in which the outside temperature and days until next holiday are used to predict the number of employees who take the day off. This is an example of what type of regression?
A) multiple regression
B) simple linear regression
C) bivariate regression
D) curvilinear regression
A) multiple regression
B) simple linear regression
C) bivariate regression
D) curvilinear regression
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10
The differences between the regression line and the observed values are known as ___________________.
A) residual sum of squares
B) total sum of squares
C) line of best fit
D) residuals
A) residual sum of squares
B) total sum of squares
C) line of best fit
D) residuals
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11
Typically, X is assigned to represent the ______________________ variable and Y is assigned to represent the ___________________ variable.
A) outcome; predictor
B) predictor; outcome
C) outcome; independent
D) dependent; independent
A) outcome; predictor
B) predictor; outcome
C) outcome; independent
D) dependent; independent
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12
___________________ refers to the assumption that the degree of random noise in the dependent variable remains the same regardless of the values of the independent variables.
A) normality
B) linearity
C) homoscedasticity
D) regression
A) normality
B) linearity
C) homoscedasticity
D) regression
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13
In linear regression, the variable being used to predict the outcome variable is the __________________ variable.
A) independent
B) dependent
C) extraneous
D) control
A) independent
B) dependent
C) extraneous
D) control
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14
In the regression equation, 'a' represents the _______________________.
A) dependent variable
B) independent variable
C) intercept
D) slope
A) dependent variable
B) independent variable
C) intercept
D) slope
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15
You are trying to predict students test scores based on their hours spent studying. This is an example of what type of regression analysis?
A) multiple regression
B) simple linear regression
C) complex linear regression
D) curvilinear regression
A) multiple regression
B) simple linear regression
C) complex linear regression
D) curvilinear regression
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16
What is the basic formula for a bivariate regression?
A) Y = b + aX
B) X = b + aY
C) Y = a + bX
D) X = a + bY
A) Y = b + aX
B) X = b + aY
C) Y = a + bX
D) X = a + bY
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17
The ____________________ is used to measure the amount of variance in one variable explained by another variable.
A) intercept
B) slope
C) critical coefficient
D) coefficient of determination
A) intercept
B) slope
C) critical coefficient
D) coefficient of determination
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18
Simple linear regression uses what level of measurement?
A) categorical
B) nominal
C) ordinal
D) continuous
A) categorical
B) nominal
C) ordinal
D) continuous
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19
________________________ are scores that have a mean of 0 and a standard deviation of 1.
A) b-scores
B) z-scores
C) residuals
D) coefficients
A) b-scores
B) z-scores
C) residuals
D) coefficients
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20
When dummy coding, the category designated at the dummy variable with a value of 0 is called the ________________.
A) zero group
B) dummy group
C) independent group
D) reference group
A) zero group
B) dummy group
C) independent group
D) reference group
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21
Identify a research question for which you would like to use a regression analysis. Why is regression your choice for such a question? Is your question suited to a bivariate or multiple linear regression?
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22
Normality is the assumption in linear regression that the dependent variable is continuous and normally distributed.
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23
By finding relationship between cultural competency and number of diversity trainings attended, Emily hopes to gain support for more diversity trainings.
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24
What are the assumptions of a linear regression? How do they vary or seem similar to other statistical tests?
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25
The coefficient of determination can take a value ranging from 0 to 1.
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26
In the regression equation, the slope is represented by what symbol?
A) Y
B) X
C) a
D) b
A) Y
B) X
C) a
D) b
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27
R2 is calculated as _____________________.
A) 1 - (total sum of squares/residual sum of squares)
B) 1 + (total sum of squares/residual sum of squares)
C) 1 - (residual sum of squares/total sum of squares)
D) 1 + (residual sum of squares/total sum of squares)
A) 1 - (total sum of squares/residual sum of squares)
B) 1 + (total sum of squares/residual sum of squares)
C) 1 - (residual sum of squares/total sum of squares)
D) 1 + (residual sum of squares/total sum of squares)
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28
In Mary's case she wants to predict the volunteer hours based on the volunteers' level of income. In this example, volunteer hours is the independent variable.
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29
In linear regression the independent variable is often referred to as the outcome variable.
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30
Describe how the regression line is related to the regression equation. How can one predict values based on the regression equation?
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31
The regression line determines the prediction of the dependent variable from the independent variable.
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32
Normality is assumed with a linear regression.
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33
Residual sum of squares is abbreviated as RSS
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34
A common method of visually representing the data in a regression analysis is through the use of a __________________.
A) boxplot
B) frequency polygon
C) scatterplot
D) histogram
A) boxplot
B) frequency polygon
C) scatterplot
D) histogram
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35
Multiple regression analysis has two variables of interest, one dependent and one independent.
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36
In a linear regression the variable that is being predicted, is the __________________ variable.
A) independent
B) dependent
C) extraneous
D) control
A) independent
B) dependent
C) extraneous
D) control
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37
Correlation, chi square and linear regression are all interested in looking at the _________________ between variables.
A) relationships
B) differences
C) frequency distributions
D) normal distributions
True/False
A) relationships
B) differences
C) frequency distributions
D) normal distributions
True/False
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38
It is possible to integrate categorical variables into the regression equation as dummy variables.
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