If two variables are uncorrelated, the sample correlation coefficient will be r = 0.00.

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The sample correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. While a value of r = 0.00 suggests no linear correlation, it does not guarantee that the variables are completely uncorrelated; they might still have a non-linear relationship. Additionally, due to sampling variability, two uncorrelated variables in the population might not have a sample correlation coefficient exactly equal to 0.

If Two Variables Are Uncorrelated, the Sample Correlation Coefficient Will