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A Zero Population Correlation Coefficient Between a Pair of Random

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A zero population correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables.

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Definitions:

Consistent Estimator

A statistical property where an estimator of a parameter tends to converge to the true parameter value as the sample size increases.

Variance

A measure of variability that quantifies the spread of a set of data points around the mean.

Confidence Level

The probability or degree of certainty that a confidence interval would contain the true population parameter if the same procedure were repeated multiple times.

Confidence Interval

A range of values, derived from sample statistics, that is believed to contain the true population parameter with a specified level of confidence.

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