g3 Flashcards

(60 cards)

1
Q

Response Variable.

A

dependent variable

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2
Q

Unexplained Responses.

A

error

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3
Q

Explanatory Variable.

A

Independent Variable

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4
Q

Line used to represent the relationship between response and explanatory
variable

A

. Linear Relationship

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5
Q

A mathematical representation (or mathematical model) of observed data.

A

Statistical Model

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6
Q

What is the purpose of a simple linear regression model?

A

C) To predict values of an output variable based on an input variable

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7
Q

What is the definition of the slope in linear regression?

A

D) The change in the response variable for a unit change in the explanatory variable

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8
Q

What effect does adding an additional explanatory variable to a linear regression have on the
slope of the original variable?

A

D) It increases the slope of the original variable

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9
Q

If the slope of a linear regression is 2, what does it mean?

A

For a unit increase in the explanatory variable, the response variable increases by 2

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10
Q

If the slope of a linear regression is negative, what can we say about the relationship between
the explanatory and response variables?

A

B) There is a negative relationship

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11
Q

If two variables have a positive association, the slope is

A

positive

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12
Q

If two variables have a negative association, the slope is

A

negative

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13
Q

if two variables are not associated, then the slope is

A

0 (and the line is horizontal)

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14
Q

The point where the line or curve crosses the axis of the graph.

A

Intercept

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15
Q

a measure of its steepness.

A

Slope

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16
Q

The best way to find violations and errors is to examine the plot themselves.

t orr f

A

true

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17
Q

The regression line can be plotted anywhere on the graph even at points when it
doesn’t make sense.
true or false

A

false

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18
Q

Violations against normality mainly revolves around errors when it comes to the
normal distribution of plotted data.

A

true

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19
Q

You can transform the formula of some variables in the software you are using in
case that your data is not linear.

A

true

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20
Q

An outlier does not affect the appearance of the graph at all.

A

false

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21
Q

A term given to a data that lies outside the normal expected data pattern.

A

Outlier

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22
Q

The type of error which refers to the rejection of a null hypothesis that is actually true in
the population.

A

type 1 error

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23
Q

The violation concerned with the independent variables and samples used.

A

b. Violation against Independence

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24
Q

The concept which assures that the values of the samples received doesn’t affect other
samples.

A

independence

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25
Graphs that present the relationship between two variables of data using a two-dimensional plane/cartesian coordinate system to represent the data.
Scatterplot
26
The state of data wherein the samples collected follow the normal distribution pattern when plotted.
Normality
27
The concept which refers to the inclination of two or more variables to change at the same rate, which when plotted, shows a straight line.
Linearity
28
The probability that the null hypothesis will be rejected.
Power
29
The sample size of a hypothesis test depends on these two factors.
Power and Type 1 error.Power and Type 1 error.
30
1. It is a crucial step in identifying and solving the main problem of the study.
Describing the Data
31
a graph that presents the relationship between two variables of the data.
C. Scatter Plot
32
used by scatter plots to represent the data.
Two-Dimensional Plane
33
4. Scatter plots are used as a _________________.
Graphical Summary
34
What can be seen on the horizontal axis of a scatter plot?
Independent Variable
35
What can be seen on the vertical axis of a scatter plot?
B. Dependent Variable
36
is a measure between two variables of how much one variable changes when the other variable changes.
Association
37
8. If one variable increases as the other variable increases, the association is ___________.
Positive
38
9. If one variable decreases as the other variable increases, the association is
negative
39
10. What do you call the point in a scatter plot?
observation
40
is a statistical measure that describes the relationship between two variables.
A. Correlation
41
12. Correlation is used as a ___________.
C. Numerical Summary
42
This is the numerical value of correlation that indicates a perfectly positive relationship between two variables.
A. +1
43
14. This is the numerical value of correlation that indicates no relationship between two variables.
B. 0
44
15. This is the numerical value of correlation that indicates a perfectly negative relationship between two variables.
C. -1
45
True or False: The regression formula represents the relationship between the dependent and independent variables.
True
46
True or False: The prediction equation is used to estimate the value of the dependent variable based on the values of the independent variables.
True
47
True or False: Heteroscedasticity is a violation of the assumption that the variance of the error terms is constant across all levels of the independent variables.
True
48
True or False: In a regression model, the coefficients represent the average change in the dependent variable for a one-unit change in the independent variable, holding other variables constant.
True
49
True or False: The Ordinary Least Squares (OLS) method is used to estimate the coefficients in a linear regression model.
True
50
True or False: If heteroscedasticity is present in a regression model, the standard errors of the coefficients can be biased.
True
51
True or False: Transforming variables (e.g., taking the logarithm) is a common technique for addressing heteroscedasticity.
True
52
True or False: Weighted Least Squares (WLS) is a regression technique that can be used to correct for heteroscedasticity.
True
53
True or False: A scatter plot of residuals against predicted values can be used to visually detect heteroscedasticity.
True
54
10. True or False: The Breusch-Pagan test is a statistical test used to formally detect heteroscedasticity.
True
55
True or False: Heteroscedasticity always leads to biased coefficient estimates in a regression model.
False
56
True or False: If heteroscedasticity is detected, it is always necessary to take corrective action before interpreting the regression results.
False
57
True or False: Robust standard errors are used to correct the standard errors in cases of heteroscedasticity.
True
58
True or False: In some cases, heteroscedasticity may not significantly affect the validity of the regression results, especially when the sample size is very large.
True
59
True or False: The Goldfeld-Quandt test is a statistical test used to formally detect heteroscedasticity.
True
60