Indian Mathematical Equations and Data Science

Description: This quiz covers Indian Mathematical Equations and Data Science. It includes questions on various mathematical equations and concepts used in data science.
Number of Questions: 15
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Tags: indian mathematics data science mathematical equations
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Which of the following is an example of an Indian mathematical equation?

  1. The Pythagorean theorem

  2. The Fibonacci sequence

  3. The Pascal triangle

  4. The Brahmagupta's formula


Correct Option: D
Explanation:

The Brahmagupta's formula is an ancient Indian mathematical equation that gives the solution to the quadratic equation $ax^2 + bx + c = 0$.

What is the name of the Indian mathematician who developed the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Fibonacci


Correct Option: D
Explanation:

Fibonacci was an Italian mathematician who developed the Fibonacci sequence in the 13th century. However, the sequence was known in India centuries before Fibonacci's time.

Which of the following is an example of a data science technique that uses mathematical equations?

  1. Linear regression

  2. Logistic regression

  3. Decision trees

  4. All of the above


Correct Option: D
Explanation:

Linear regression, logistic regression, and decision trees are all data science techniques that use mathematical equations to model and predict data.

What is the name of the Indian mathematician who developed the Pascal triangle?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Pascal


Correct Option: D
Explanation:

Pascal was a French mathematician who developed the Pascal triangle in the 17th century. However, the triangle was known in India centuries before Pascal's time.

Which of the following is an example of a mathematical equation that is used in data science to measure the similarity between two data points?

  1. The Euclidean distance

  2. The Manhattan distance

  3. The cosine similarity

  4. All of the above


Correct Option: D
Explanation:

The Euclidean distance, the Manhattan distance, and the cosine similarity are all mathematical equations that are used in data science to measure the similarity between two data points.

What is the name of the Indian mathematician who developed the Brahmagupta's formula?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Fibonacci


Correct Option: C
Explanation:

Brahmagupta was an Indian mathematician who developed the Brahmagupta's formula in the 7th century.

Which of the following is an example of a data science technique that uses mathematical equations to cluster data points?

  1. K-means clustering

  2. Hierarchical clustering

  3. DBSCAN

  4. All of the above


Correct Option: D
Explanation:

K-means clustering, hierarchical clustering, and DBSCAN are all data science techniques that use mathematical equations to cluster data points.

What is the name of the Indian mathematician who developed the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Fibonacci


Correct Option: D
Explanation:

Fibonacci was an Italian mathematician who developed the Fibonacci sequence in the 13th century. However, the sequence was known in India centuries before Fibonacci's time.

Which of the following is an example of a mathematical equation that is used in data science to predict the value of a target variable?

  1. The linear regression equation

  2. The logistic regression equation

  3. The decision tree equation

  4. All of the above


Correct Option: D
Explanation:

The linear regression equation, the logistic regression equation, and the decision tree equation are all mathematical equations that are used in data science to predict the value of a target variable.

What is the name of the Indian mathematician who developed the Pascal triangle?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Pascal


Correct Option: D
Explanation:

Pascal was a French mathematician who developed the Pascal triangle in the 17th century. However, the triangle was known in India centuries before Pascal's time.

Which of the following is an example of a data science technique that uses mathematical equations to reduce the dimensionality of data?

  1. Principal component analysis

  2. Singular value decomposition

  3. Factor analysis

  4. All of the above


Correct Option: D
Explanation:

Principal component analysis, singular value decomposition, and factor analysis are all data science techniques that use mathematical equations to reduce the dimensionality of data.

What is the name of the Indian mathematician who developed the Brahmagupta's formula?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Fibonacci


Correct Option: C
Explanation:

Brahmagupta was an Indian mathematician who developed the Brahmagupta's formula in the 7th century.

Which of the following is an example of a data science technique that uses mathematical equations to detect outliers in data?

  1. Z-score

  2. Grubbs' test

  3. Dixon's test

  4. All of the above


Correct Option: D
Explanation:

Z-score, Grubbs' test, and Dixon's test are all data science techniques that use mathematical equations to detect outliers in data.

What is the name of the Indian mathematician who developed the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Fibonacci


Correct Option: D
Explanation:

Fibonacci was an Italian mathematician who developed the Fibonacci sequence in the 13th century. However, the sequence was known in India centuries before Fibonacci's time.

Which of the following is an example of a mathematical equation that is used in data science to measure the uncertainty of a prediction?

  1. The mean squared error

  2. The root mean squared error

  3. The coefficient of determination

  4. All of the above


Correct Option: D
Explanation:

The mean squared error, the root mean squared error, and the coefficient of determination are all mathematical equations that are used in data science to measure the uncertainty of a prediction.

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