Data Science Final Exam Quiz: Multiple Choice Questions

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Questions and Answers

What is a C.A matrix?

A 4-dimensional representation of arrays of numbers

A 3-dimensional representation of arrays of numbers

A 2-dimensional representation of arrays of numbers

A 1-dimensional representation of arrays of numbers (correct)

What is a vector?

A 2-dimensional array representing a random series of numbers (correct)

A 1-dimensional array representing a random series of numbers

A 3-dimensional array representing a random series of numbers

A 4-dimensional array representing a random series of numbers

What does the ∑ symbol represent?

A universal symbol for subtraction

A universal symbol for division

A universal symbol for addition (correct)

A universal symbol for multiplication

What is an exponent in a graph?

It tells you how many times you have to multiply a number to itself Signup and view all the answers

What is a set in set theory?

A collection of similar objects Signup and view all the answers

How do you denote that an element is within a set?

2.5 ∈ {1,2,3} Signup and view all the answers

What is a subset in set theory?

A is a subset of B and B is called the superset of A Signup and view all the answers

What is a rule of matrix multiplication?

You can multiply matrices together if the second number in the first dimension pair is the same as the first number in the second dimension pair Signup and view all the answers

What is NOT a correct way to compare a vector?

Use matrix multiplication to compare vectors Signup and view all the answers

What is the purpose of using negative indexes in R?

To exclude elements from a vector Signup and view all the answers

What is a simple event in probability?

An outcome of a procedure that cannot be broken down further Signup and view all the answers

What is an event in probability?

A collection of outcomes of a procedure Signup and view all the answers

What is a procedure in probability?

An act that leads to a result Signup and view all the answers

How do you select a single element from a vector?

Use parentheses to select vector elements by their position Signup and view all the answers

What is a fundamental characteristic of a vector?

It is an object with both magnitude and direction Signup and view all the answers

What is the purpose of extending our notion of an array?

To represent data in multiple dimensions Signup and view all the answers

What is a matrix with the same number of rows and columns called?

A square matrix Signup and view all the answers

What is the most accurate description of a vector?

A 1-dimensional array representing a series of numbers Signup and view all the answers

What is the term for individual members of a vector?

Components Signup and view all the answers

What is the purpose of breaking down a vector?

To analyze the data in multiple dimensions Signup and view all the answers

What is the relationship between a vector and a matrix?

A vector can be extended to a matrix Signup and view all the answers

What is the concept of extending an array to represent multiple dimensions?

Using a vector Signup and view all the answers

Study Notes

Data Science Exam

The exam consists of 10 multiple-choice questions in English, with a total of 20 points.
Submission deadline is 12 June, 2024.

Vectors

Vectors are not broken into large lists or 1-dimensional arrays.
A vector is defined as an object with both magnitude and direction.
Vectors can be broken down into components, which are individual members of the vector.

Vectors and Matrices

A matrix is not a 1-dimensional array, but rather a 2-dimensional representation of arrays of numbers.
A matrix with the same number of rows and columns is called a square matrix.
To represent data in multiple dimensions, we can extend our notion of an array by using a matrix.

Arithmetic Symbols

The ∑ symbol is used for addition, not proportion.
In proportion, values can vary directly or indirectly.
The ∝ symbol represents values that are proportional to each other.
The right side of the ∑ symbol is usually something iterable.

Graphs

An exponent tells you how many times you have to multiply a number to itself.
In graphs, the x variable is the independent variable, and the y variable is the dependent variable.
The slope defines the rate of change among a large number of points.
Exponents and logarithms can help model growth or decline.

Set Theory

Set theory involves mathematical operations, not logarithmic level operations.
A set is a collection of similar objects.
An array in Python is not a set, but rather a list of key-indexed pairs.
A set can be thought of as a list in Python, but with no repeat objects.

Set Theory (continued)

The magnitude of a set is the number of elements in the set.
To denote that an element is within a set, use the ∈ symbol, not ∩.
A ⊆ B means A is a subset of B, and B is called the superset of A.
If A is a subset of B but A equals B, then A is called a proper subset of B.

Matrix Multiplication Rules

Matrix multiplication is not commutative.
You can multiply matrices together if the second number in the first dimension pair is the same as the first number in the second dimension pair.
In order to multiply matrices, their dimensions do not have to match up.
The resulting matrix will usually have dimensions equal to the outer numbers in the dimension pairs.

Comparing Vectors in R

You can compare a vector against a single scalar.
The comparison operators (==, !=, <, >) can perform an element-by-element comparison of two vectors.
The comparison operators can also compare a vector's element against a scalar.
R's two logical values, TRUE and FALSE, are often called Boolean values in Python.

Extracting Vector Elements

You can use positive indexes to select elements.
You can use negative indexes to exclude elements.
You can use parentheses to select vector elements by their position.
You cannot use matrix multiplication to select elements based on a condition.

Probability Definition

A procedure is not an act that leads to a result, but rather an act that produces outcomes.
An event is a collection of the outcomes of a procedure.
A simple event is an outcome/event of a procedure that cannot be broken down further.
The two-dimensional space of a procedure is the set of all possible outcomes.

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Description

Multiple choice questions for the final examination of Data Science 1 course at Kwangwoon University, covering data analysis concepts.

Data Science 1 Final Exam Multiple Choice