REM B LVL 1 Flashcards
In Advanced Mathematics, it converts a
discrete-time signal, which is a
sequence of real or complex numbers,
into a complex frequency-domain
representation.
A. Z-transform
B. Borel Transform
C. Laplace Transform
A. Z-transform
In Advanced Mathematics, it is an
integral transform that converts a
function of a real variable t to a complex
variable s.
A. Laplace Transform
B. Borel Transform
C. Fourier Transform
D. Z-transform
A. Laplace Transform
If a power series has a positive radius of convergence and sum that is identically zero throughout its interval of
convergence, then each coefficient of
the series must be
A. Negative
B. Zero
C. One
B. Zero
Which of the following statements
describes the sequence
(REM MATH B LVL 1 FIGURE)
A. The sequence is monotonic.
B. The sequence if unbounded.
C. The sequence is bounded.
D. The sequence converges to a number less
than 1.
C. The sequence is bounded.
As n increases, the value of an =(0.5,0.866,1,0.866,0.5,0,-0.5, -0.866,-1,-0.5, 0,0.5,0.866, 1…).
Thus, the sequence is divergent, is not
monotone and bounded.
Indicate the nature of the second order
equation
(REM MATH B LVL 1 FIGURE)
A. Parabolic differential equation
B. Hyperbolic differential equation
C. Elliptic differential equation
A. Parabolic differential equation
Determine the nature of the second
order equation
(REM MATH B LVL 1 FIGURE)
A. Hyperbolic differential equation
B. Elliptic differential equation
C. None of these
D. Parabolic differential equation
A. Hyperbolic differential equation
The PDE A d^2 u/dx^2 + B d^2 u/dxdy +
C d^2 u/dy^2 +D= 0 is hyperbolic if.
A. B^2-4AC=0
B. B^2-4AC>0
C. B^2-4AC<0
B. B^2-4AC>0
___ is one of the
mathematical equations for an
indefinite function of one or more than one variables that relate the values of the function. Differentiation of an equation in various orders.
A. Simultaneous Differential equation
B. Heat equation
C. Bessel’s differential equation
D. Legendre’s Polynomial
A. Simultaneous Differential equation
It is also known as characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it, often denoted by 入.
A. Eigenvector
B. Gauss-Jordan Elimination
C. Matrix Inversion
A. Eigenvector
It is the sum of the area of each
rectangle within a given interval under
the curve of a function.
A. Lagrange Theorem
B. Trapezoidal Rule
C. Simpson’s Rule
D. Midpoint Rule
D. Midpoint Rule
The approximation of the derivative at x:
f’(x)=(f(x+h)-f(x))/h; is called
A. Forward differencing
B. Centered differencing
C. Backward differencing
D. Both Forward differencing and Centered
differencing
A. Forward differencing
The approximation of the derivative at x:
f’(x)=(f(x+h)-f(x-h))/2h; is called
A. Both Forward differencing and Centered
differencing
B. Forward differencing
C. Centered differencing
D. Backward differencing
C. Centered differencing
Which of the following numerical
methods is more accurate in evaluating
definite integral
A. Lagrange Theorem
B. Midpoint Rule
C. Trapezoidal Rule
D. Simpson’s Rule
D. Simpson’s Rule
The approximation of the derivative of x:
f’(x)=(f(x)-f(x-h))/h; is called.
A. Forward differencing
B. Backward differencing
C. Both Forward differencing and Centered
differencing
B. Backward differencing
Approximation of the value of definite
integral by using trapezoids rather than
rectangles.
A. Midpoint Rule
B. Trapezoidal Rule
C. Lagrange Theorem
B. Trapezoidal Rule
What are external data sources for
analysis?
A. Data obtained from public databases
and third parties
B. Data collected from customer surveys
C. Data generated and collected within your
organization
A. Data obtained from public databases
and third parties
It divides the data into 100 equal
regions.
A. Decile
B. Inter-Quartile Range
C. Percentile
D. Population
C. Percentile
Which of the following external data
sources can provide insights into
consumer sentiment and social
behavior?
A. Production records
B. Social media platforms
C. Employee performance data
B. Social media platforms
Social media platforms generate usergenerated content that can be analyzed to gain insights into consumer
sentiment, public opinion, trends, and
social behavior.
What is the characteristic of first-party
data collected from customer surveys?
A. It is available in government portals
B. It is purchased from third-party
organizations
C. It is unstructured and unreliable
D. It is directly collected by the company
from customers
D. It is directly collected by the company
from customers
First-party data collected from
customer surveys is a form of data
directly collected by the company from
its customers. It is structured and
provides valuable insights into
customer preferences, opinions, and
experiences.
What type of interview provides the
greatest flexibility?
A. Structured interviews
B. Unstructured interviews
C. Semi-structured interviews
D. Comparative interviews
B. Unstructured interviews
Unstructured interviews provide the
greatest flexibility, as there are no
predetermined questions. The
conversation flows naturally, allowing
participants to share their perspectives and provide insights on various aspects related to the topic.
A study in which a sample is used to make an interference to a conceptual (future) population.
A. Analytic Study
B. Retrospective Study
C. Enumerative Study
D. Observational Study
A. Analytic Study
Analytic Study - a sample is used to make an
interference to a conceptual (future) population.
Enumerative Study - a sample is used to make an interference to the population from which the sample is selected.
Retrospective Study - uses either all of a sample of the historical process data archived over some period of time.
Observational Study - a person observes the process or population, disturbing it as little possible,and records the quantities of interest.
What type of data can be found in
academic research publications?
A. Data collected through experiments,
surveys, or simulations
B. Financial ratios and indicators
C. Manufacturing data and production logs
A. Data collected through experiments,
surveys, or simulations
Academic research publications provide
access to data collected through
experiments, surveys, simulations, or
observational studies relevant to
specific fields.
One in which every member of the
population has an equal likelihood of
appearing.
A. Random Sample
B. Sample
C. Probability
A. Random Sample
Probability is an area of study which involves predicting the relative likelihood of various outcomes.
A sample is a chosen part of the
population in question.
Statistics is a collection of numbers.
A random sample is one in which every member of the population has an equal likelihood of appearing
Data analysis is the process of:
A. Collecting data from various sources
B. Presenting data in visual charts and
graphs.
C. Manipulating and exploring data to
extract meaningful insights.
C. Manipulating and exploring data to
extract meaningful insights.
Data analysis involves manipulating and
exploring data to extract meaningful
insights, draw conclusions, and support decision-making. It includes techniques such as statistical analysis, regression analysis, neural networks, and text
analysis.
It divides the data into 10 equal regions.
A. Population
B. Decile
C. Percentile
B. Decile
What is one of the key tasks in data
cleaning?
A. Aggregating data from numerous sources
B. Identifying major gaps in the data
C. Extracting irrelevant data points
C. Extracting irrelevant data points
One of the key tasks in data cleaning is
to remove irrelevant data points that
have no bearing on the intended
analysis. This helps to streamline the dataset and focus only on the relevant observations for accurate analysis.
It is the mean of the squares of the
deviations of each measurement from
the mean of the population.
A. Interquartile Range
B. Variance
C. Standard Deviation
B. Variance
The interquartile range is the difference between the upper quartile and the lower quartile.
One simple measure of variability is the
sample range, the difference between the smallest item and the largest item in each sample.
Variance is the mean of the squares of the deviations of each measurement from the mean of the population.
Standard deviation is defined as the square
root of the variance.
It represents the average of the sample
population.
A. Mode
B. Quantile
C. Median
D. Mean
D. Mean
Mode is the value which appears most
frequently.
Median divides a sample of data in a way that 50% of the values are smaller than the median and 50% of values are bigger (or equal).
Mean represents the average of the sample
population.
Quantile is a value that divides the sample into
two parts.
What role does data analysis play in
decision-making?
A. Data analysis supports decision-
making based on evidence.
B. Data analysis ensures data accuracy and
reliability.
C. Data analysis collects data for reference.
A. Data analysis supports decision-
making based on evidence.
Data analysis supports decision-making
by providing evidence-based insights
and actionable information. It helps
make informed decisions and supports
identifying areas for improvement.
An area of study which involves
predicting the relative likelihood of
various outcomes.
A. Probability
B. Random Sample
C. Sample
A. Probability
Probability is an area of study which involves predicting the relative likelihood of various outcomes.
A sample is a chosen part of the
population in question.
Statistics is a collection of numbers.
A random sample is one in which every member of the population has an equal likelihood of appearing.
