Statistical Analysis and Modeling

Description: Statistical Analysis and Modeling Quiz
Number of Questions: 15
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Tags: statistics probability regression modeling
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Which statistical method is used to estimate the population mean when the sample size is large and the population is normally distributed?

  1. t-test

  2. z-test

  3. chi-square test

  4. F-test


Correct Option: B
Explanation:

The z-test is used to estimate the population mean when the sample size is large and the population is normally distributed.

What is the probability of getting a head when flipping a fair coin?

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/5


Correct Option: A
Explanation:

The probability of getting a head when flipping a fair coin is 1/2.

Which regression model is used to predict a continuous response variable based on one or more continuous predictor variables?

  1. Linear regression

  2. Logistic regression

  3. Poisson regression

  4. Decision tree


Correct Option: A
Explanation:

Linear regression is used to predict a continuous response variable based on one or more continuous predictor variables.

What is the difference between supervised and unsupervised learning in machine learning?

  1. Supervised learning uses labeled data, while unsupervised learning uses unlabeled data.

  2. Supervised learning is used for classification tasks, while unsupervised learning is used for clustering tasks.

  3. Supervised learning is used for regression tasks, while unsupervised learning is used for classification tasks.

  4. Supervised learning is used for clustering tasks, while unsupervised learning is used for regression tasks.


Correct Option: A
Explanation:

Supervised learning uses labeled data, while unsupervised learning uses unlabeled data.

Which statistical method is used to test the independence of two categorical variables?

  1. t-test

  2. z-test

  3. chi-square test

  4. F-test


Correct Option: C
Explanation:

The chi-square test is used to test the independence of two categorical variables.

What is the probability of getting a sum of 7 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24


Correct Option: A
Explanation:

The probability of getting a sum of 7 when rolling two fair dice is 1/6.

Which regression model is used to predict a binary response variable based on one or more predictor variables?

  1. Linear regression

  2. Logistic regression

  3. Poisson regression

  4. Decision tree


Correct Option: B
Explanation:

Logistic regression is used to predict a binary response variable based on one or more predictor variables.

What is the difference between a population and a sample in statistics?

  1. A population is the entire group of individuals or objects being studied, while a sample is a subset of the population.

  2. A population is the entire group of individuals or objects being studied, while a sample is a larger group of individuals or objects being studied.

  3. A population is a subset of the entire group of individuals or objects being studied, while a sample is the entire group of individuals or objects being studied.

  4. A population is a larger group of individuals or objects being studied, while a sample is a subset of the entire group of individuals or objects being studied.


Correct Option: A
Explanation:

A population is the entire group of individuals or objects being studied, while a sample is a subset of the population.

Which statistical method is used to test the hypothesis that the mean of a population is equal to a specified value?

  1. t-test

  2. z-test

  3. chi-square test

  4. F-test


Correct Option: A
Explanation:

The t-test is used to test the hypothesis that the mean of a population is equal to a specified value.

What is the probability of getting a sum of 11 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24


Correct Option: C
Explanation:

The probability of getting a sum of 11 when rolling two fair dice is 1/18.

Which regression model is used to predict a count response variable based on one or more predictor variables?

  1. Linear regression

  2. Logistic regression

  3. Poisson regression

  4. Decision tree


Correct Option: C
Explanation:

Poisson regression is used to predict a count response variable based on one or more predictor variables.

What is the difference between a parameter and a statistic in statistics?

  1. A parameter is a numerical characteristic of a population, while a statistic is a numerical characteristic of a sample.

  2. A parameter is a numerical characteristic of a sample, while a statistic is a numerical characteristic of a population.

  3. A parameter is a qualitative characteristic of a population, while a statistic is a qualitative characteristic of a sample.

  4. A parameter is a qualitative characteristic of a sample, while a statistic is a qualitative characteristic of a population.


Correct Option: A
Explanation:

A parameter is a numerical characteristic of a population, while a statistic is a numerical characteristic of a sample.

Which statistical method is used to test the hypothesis that the variance of a population is equal to a specified value?

  1. t-test

  2. z-test

  3. chi-square test

  4. F-test


Correct Option: D
Explanation:

The F-test is used to test the hypothesis that the variance of a population is equal to a specified value.

What is the probability of getting a sum of 2 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24


Correct Option:
Explanation:

The probability of getting a sum of 2 when rolling two fair dice is 1/36.

Which regression model is used to predict a response variable based on a set of decision rules?

  1. Linear regression

  2. Logistic regression

  3. Poisson regression

  4. Decision tree


Correct Option: D
Explanation:

Decision tree is used to predict a response variable based on a set of decision rules.

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