Question

Explain how to determine whether a sample correlation coefficient indicates that the population correlation coefficient is significant.

Answer 1

The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.

• Correlation coefficients are used in determining the significance of a population and the strength of the relationship between two variables.

• This relationship can either be strong, weak, or not exist.

• The correlation coefficient can have values between 0 and 1 inclusive.  The population correlation coefficient is significant if the correlation is closer to 1, less significant is closer to zero, and not significant at all if the correlation coefficient is zero.

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