Prove That There Is No Smallest Positive Rational Number

question 48

Short Answer

Prove that there is no smallest positive rational number.

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Definitions:

Standard Error Of Estimate

A measure of the accuracy of predictions made with a regression model, specifically, it estimates the standard deviation of the error term.

Covariance

A measure that indicates the extent to which two variables change together. If the greater values of one variable mainly correspond with the greater values of the other variable, and the same holds for the lesser values, the covariance is positive; otherwise, it is negative.

Coefficient Of Correlation

A statistical measure that calculates the strength of the relationship between the relative movements of two variables.

Stronger Correlation

Indicates a more pronounced relationship between two variables, often implied by a correlation coefficient closer to -1 or 1.