What Is the Difference Between Chebyshev's Theorem and the Empirical

question 89

Multiple Choice

What is the difference between Chebyshev's theorem and the empirical rule?

• A)The empirical rule applies to all data sets,whether their distributions are symmetric and bell-shaped or not.
• B)Chebyshev's theorem applies to all data sets except those that have approximately a symmetric and bell-shaped distribution.
• C)The empirical rule applies to all data sets,whereas Chebyshev's theorem is appropriate when the data have approximately a symmetric and bell-shaped distribution.
• D)Chebyshev's theorem applies to all data sets,whereas the empirical rule is only appropriate when the data have approximately a symmetric and bell-shaped distribution.

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Definitions:

Simple Linear Regression

A statistical method for modeling the relationship between a single independent variable and a single dependent variable, assuming a linear relationship.

Residuals

The differences between observed values and the values predicted by a statistical model, indicating the model's accuracy.

Fitted Values

Predicted values calculated from a model that represent the estimated response given the predictors.

Simple Linear Regression

A statistical method that models the relationship between two variables by fitting a linear equation to observed data.