Data Science 1 Final Exam Multiple Choice
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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?

<p>It tells you how many times you have to multiply a number to itself (B)</p> Signup and view all the answers

What is a set in set theory?

<p>A collection of similar objects (A)</p> Signup and view all the answers

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

<p>2.5 ∈ {1,2,3} (B)</p> Signup and view all the answers

What is a subset in set theory?

<p>A is a subset of B and B is called the superset of A (B)</p> Signup and view all the answers

What is a rule of matrix multiplication?

<p>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 (A)</p> Signup and view all the answers

What is NOT a correct way to compare a vector?

<p>Use matrix multiplication to compare vectors (D)</p> Signup and view all the answers

What is the purpose of using negative indexes in R?

<p>To exclude elements from a vector (A)</p> Signup and view all the answers

What is a simple event in probability?

<p>An outcome of a procedure that cannot be broken down further (C)</p> Signup and view all the answers

What is an event in probability?

<p>A collection of outcomes of a procedure (A)</p> Signup and view all the answers

What is a procedure in probability?

<p>An act that leads to a result (B)</p> Signup and view all the answers

How do you select a single element from a vector?

<p>Use parentheses to select vector elements by their position (A)</p> Signup and view all the answers

What is a fundamental characteristic of a vector?

<p>It is an object with both magnitude and direction (D)</p> Signup and view all the answers

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

<p>To represent data in multiple dimensions (C)</p> Signup and view all the answers

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

<p>A square matrix (B)</p> Signup and view all the answers

What is the most accurate description of a vector?

<p>A 1-dimensional array representing a series of numbers (C)</p> Signup and view all the answers

What is the term for individual members of a vector?

<p>Components (A)</p> Signup and view all the answers

What is the purpose of breaking down a vector?

<p>To analyze the data in multiple dimensions (D)</p> Signup and view all the answers

What is the relationship between a vector and a matrix?

<p>A vector can be extended to a matrix (D)</p> Signup and view all the answers

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

<p>Using a vector (C)</p> 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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Multiple choice questions for the final examination of Data Science 1 course at Kwangwoon University, covering data analysis concepts.

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