The relationship between a sample's correlation coefficient and the population correlation ($\rho$,"rho")is
A) analogous to the relationship between a sample mean and a population mean.
B) such that the correlation coefficient provides an estimate of rho.
C) such that the more sampling error there is for the correlation coefficient, the wider the confidence interval for rho.
D) all of these

Question

Quizplus · Accepted Answer

A) The relationship between a sample's correlation coefficient and the population correlation coefficient (rho) is analogous to the relationship between a sample mean and a population mean.
B) The correlation coefficient provides an estimate of rho.
C) As with any estimate based on a sample, the more sampling error there is for the correlation coefficient, the wider the confidence interval for rho. Therefore, the wider the confidence interval, the more uncertain we are about the population correlation.

The Relationship Between a Sample's Correlation Coefficient and the Population ρ\rhoρ

The Relationship Between a Sample's Correlation Coefficient and the Population $\rho$