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Statistics 면접 질문과 답변

Ques 21. What is the coefficient of determination (R-squared) in regression analysis?

The coefficient of determination, denoted as R-squared, measures the proportion of the variance in the dependent variable that is predictable from the independent variables. It ranges from 0 to 1.

Example:

If R-squared is 0.75, 75% of the variance in the dependent variable is explained by the independent variables.

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Ques 22. Define skewness in statistics.

Skewness measures the asymmetry of the probability distribution of a real-valued random variable. A negative skewness indicates a distribution that is skewed to the left, and a positive skewness indicates a distribution that is skewed to the right.

Example:

A dataset with a long tail to the right has positive skewness.

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Ques 23. What is the purpose of a t-test?

A t-test is used to determine if there is a significant difference between the means of two groups. It is often applied when the sample size is small and the population standard deviation is unknown.

Example:

Comparing the average scores of two groups of students who were taught using different methods.

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Ques 24. Define outlier in the context of statistical analysis.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It may indicate a data entry error, measurement error, or a rare event.

Example:

In a dataset of exam scores, a score of 120 when others range from 50 to 100 may be an outlier.

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Ques 25. What is the purpose of a box plot (box-and-whisker plot)?

A box plot is used to display the distribution and spread of a dataset. It shows the median, quartiles, and potential outliers in a compact visual format.

Example:

Comparing the distribution of salaries in different departments using box plots.

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