Exam 1 5380 BUAL
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Lamar University *
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Course
BUAL-538
Subject
Statistics
Date
Feb 20, 2024
Type
docx
Pages
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Exam 1
1.
Researchers may gain insight into the characteristics of a population by examining a a.
Mathematical model describing the population
b.
Sample of the population
c.
Description of the population
d.
Replica
2.
Coding males as 1 and females as 0 in a data set illustrates the use of
a.
Nominal variables
b.
Dummy variables
c.
Numerical variables
d.
Ordinal variables
3.
The interquartile range (IQR) represents what percent of the observations?
a.
Lower 25%
b.
Middle 50%
c.
Upper 75%
d.
Upper 90%
e.
100%
4.
Expressed in percentiles, the interquartile range is the difference between the
a.
10
th
and 60
th
percentiles
b.
15 and 65
th
percentiles
c.
20
th
and 70
th
percentiles
d.
25
th
and 75
th
percentiles
e.
35
th
and 85
th
percentiles
5.
Data that arise from counts are called
a.
Continuous data
b.
Nominal data
c.
Counted data
d.
Discrete data
6.
How is the median defined if the number of observations is even?
a.
The average of the two middle observations
b.
The difference between the two middle observations
c.
The most frequent observation
d.
The difference between the highest and smallest observation
7.
A sample of a population taken at one particular point in time is categorized as:
a.
Categorical
b.
Discrete
c.
Cross-sectional
d.
Time-series
8.
What is the most common type of chart for showing the distribution of a numerical variable?
a.
Time series graph
b.
Histogram
c.
Bin
d.
Box plot
9.
In a generic box plot, the x
inside the box indicated the location of the
a.
Mean
b.
Median
c.
Minimum value
d.
Maximum value
10. Which of the following are the three most common measures of central tendency?
a.
Mean, median, mode
b.
Mean, variance, and standard deviation
c.
Mean, median, and variance
d.
Mean, median, and standard deviation
e.
First quartile, second quartile, and third quartile
11. In order for the characteristics of a sample to be generalized to the entire population, it should be:
a.
Symbolic of the population
b.
Atypical of the population
c.
Representative of the population
d.
Illustrative of the population
12. Categorizing age variables as “young,” “Middle-aged,” and “elderly” is an example of
a.
Counting
b.
Ordering
c.
Value adding
d.
Binning
e.
Categorizing
13. The average score for a class of 30 students was 75. The 20 male students in the class averaged 70. The 10 female students in the class averaged
a.
75
b.
85
c.
60
d.
70
e.
80
14.
Gender
and State
are examples of which type of data?
a.
Discrete data
b.
Continuous data
c.
Categorical data
d.
Ordinal data
15. If a value represents the 95
th
percentile, this means that
a.
95% of all values are below this value
b.
95% of all values are above this value
c.
05% of the time you will observe this value
d.
There is a 5% chance that this value is incorrect
e.
There is a 95% chance that this value is correct
16. In a regression analysis, the variables used to help explain or predict the response variable are called the
a.
Independent variables
b.
Dependent variables
c.
Regression variables
d.
Statistical variables
17. A multiple regression analysis including 50 data points and 5 independent variables results in ∑
e
1
2
40
. The multiple standard error of estimate will be:
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a.
0.901
b.
0.888
c.
0.800
d.
0.953
e.
0.894
18. The percentage of variation (
R
2
) can be interpreted as the fraction (or percent) of variation
of the
a.
Explanatory variable explained by the independent variable
b.
Explanatory variable explained by the regression line
c.
Response variable explained by the regression line
d.
Error explained by the regression line
19. Outliers are observations that
a.
Lie outside the sample
b.
Render the study useless
c.
Lie outside the typical pattern of points on a scatterplot
d.
Disrupt the entire linear trend
20. Is/are especially helpful in identifying outliers
a.
Linear regression
b.
Regression analysis
c.
Normal curves
d.
Scatterplots
e.
Multiple regression
21. In linear regression, we can have an interaction variable. Algebraically, the interaction variable is the other variables in the regression equation
a.
Sum
b.
Ratio
c.
Product
d.
Mean
22. The correlation value ranges from
a.
0 to +1
b.
-1 to +1
c.
-2 to +2
d.
-Y to +Y
23. The percentage of variation (
R
2
) ranges from
a.
0 to +1
b.
-1 to +1
c.
-2 to +2
d.
-1 to 0
24. In regression analysis, if there are several explanatory variables, it is called:
a.
Simple regression
b.
Multiple regression
c.
Compound regression
d.
Composite regression
25. In multiple regression, the coefficients reflect the expected change in:
a.
Y
when the associated X
value increases by one unit
b.
X when the associated Y
value increases by one unit
c.
Y
when the associated X
value decreases by one unit
d.
X
when the associated Y
value decreases by one unit
26. The appropriate hypothesis test for an ANOVA test is:
a.
H
0
: all
B
0, H
: at least one B
= 0
b.
H
0
: all B
= 0, H
: at least one B
= 0
c.
H
0
: at least one B
0, H
: all B
= 0
d.
H
0
: at least one B
= 0, H
: all B
0
27. In the standardized value (
b
i
−
B
i
)
s
b
i
, the symbol s
b
i
represents the:
a.
Mean of b
i
b.
Variance of b
i
c.
Standard error of b
i
d.
Degrees of freedom of b
i
28. Many statistical packages have three types of equation-building procedures. They are:
a.
Forward, linear, and non-linear
b.
Forward, backward, and stepwise
c.
Simple, complex, and stepwise
d.
Inclusion, exclusion, and linear
29. The appropriate hypothesis test for a regression coefficient is:
a.
H
0
: B
0, H
: B
=0
b.
H
0
: B
= 0, H
: B
0
c.
H
0
: B
= 1, H
: B
1
d.
None of these options
30. Which of the following definitions best describes parsimony?
a.
Explaining the most with the least
b.
Explaining the least with the most
c.
Being able to explain all of the change in the response variable
d.
Being able to predict the value of the response variable far into the future
31. Another term for constant error variance is:
a.
Homoscedasticity
b.
Heteroscedasticity
c.
Autocorrelation
d.
Multicollinearity
32. The test statistic in an ANOVA analysis is:
a.
The t
-statistic
b.
The z
-statistic
c.
The F
-statistic
d.
The Chi-square statistic
33. Which of the following is not
one of the assumptions of regression?
a.
There is a population regression line
b.
The response variable is not normally distributed
c.
The response variable is normally distributed
d.
The errors are probabilistically independent
34. If you can determine that the outlier is not really a member of the relevant population, then it is appropriate and probably best to:
a.
Average it
b.
Reduce it
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c.
Delete it
d.
Leave it
35. Which of the following is not
one of the assumptions of regression?
a.
The standard deviation of the response variable increases as the explanatory variables increase
36. What is the decision making process?
a.
A purposeful and goal-directed effort that uses a systematic process to choose among options
i.
Identify the problem and define it
ii.
Gather data
iii.
Analyze data
iv.
Identify the options/solutions
v.
Pros and cons of each options
vi.
Selection – make the decision
37. What is the modelling process?
a.
Involves creating a simplified representation of a real-world system or phenomenon using mathematical, statistical or computational techniques.
b.
Models are used to gain insights, make predictions, or understand complex relationships within the system.
38. Nominal Data
a.
Data that consists of names, labels, or categories
39. Ordinal data
a.
Categorical data with a natural order or ranking
40. Cross-sectional data
a.
Data collected at a single point in time
41. Time-series data
a.
Data collected over a sequence of time
42. Continuous data
a.
Data that can take on an infinite number of values within a given range (height, weight, temperature)
43. Discrete data
a.
Data that can only take on specific, separate values, typically integers (counts)
44. Frequency table
a.
A table for organizing a set of data that shows the number of times each item or number appears
45. Measure of central location
a.
A central value that best represents a distribution of data
b.
Measures of central location include the mean, median, and mode. Also called the measure of central tendency
46. Mean
a.
The average of a distribution, obtained by adding the scores and then dividing by the number of scores
47. Median
a.
The middle score in a distribution; half the scores are above it and half are below it
48. Mode
a.
The most frequently occurring score(s) in a distribution
49. Quartiles
a.
Values that divide a data set into four equal parts
50. Population standard deviation
a.
The square root of the population variance
51. Interquartile Range (IQR)
a.
The difference between the first and third quartiles
52. Empirical Rule
a.
The rule gives the approximate % of observations within 1 standard deviation (68%), 2 standard deviations (95%), and 2 standard deviations (99.7%) of the mean when the histogram is approximately a normal curve
53. Regression analysis asks:
a.
How a single variable depends on other relevant variables
54. In regression analysis, the variable we are trying to explain or predict is called the
a.
Dependent variable
55. In regression analysis, which of the following causal relationships are possible?
a.
X causes Y to vary
b.
Y causes X to vary
c.
Other variables cause X and Y to vary
56. An error term represents the vertical distance from any point to the a.
Population regression line
57. A scatterplot that appears as a shapeless mass of data points indicates
a.
No relationship among the variables
58. Correlation is a summary measure that indicates
a.
The strength of the linear relationship between pairs of variables
59. A correlation value of zero indicates
a.
No linear relationship
60. The covariance is not used as much as the correlation because
a.
It is difficult to interpret
61. A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are
a.
Highly correlated
62. The term autocorrelation refers to
a.
Time-series variables are usually related to their own past values
63. The weakness of scatterplots is that they
a.
Do not actually quantify the relationships between variables
64. In linear regression, we fit the least squares line to a set of values (or points on a scatterplot). The distance from the line to the point is called
a.
Residual
65. In linear regression, the fitter values is
a.
The predicted value of the dependent variable
66. In choosing the “best-fitting” line through a set in linear regression, we choose the one with the
a.
Smallest sum of squared residuals
67. The standard error of the estimate (Se) is essentially the
a.
Standard deviation of the residuals
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68. Approximately what percentage of the observed Y values are within one standard error of
the estimate of the corresponding fitted Y values
a.
67%
69. The percentage of variation can be interpreted as the fraction of variation of the
a.
Response variable explained by the regression line
70. Given the least squares regression line, which statement is true y=8-3x
a.
The relationship between X and Y is negative
71. In multiple regression, the constant
a.
Is the expected values of the dependent variable Y when all of the independent variables have the value zero
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