How to find the critical value of r?

Understand the Problem

The question is asking for the method to determine the critical value of the correlation coefficient (r), which is a statistical measure that describes the strength and direction of a relationship between two variables. The critical value is often determined based on the significance level and the degrees of freedom associated with the data set.

Answer

r = t / sqrt(t^2 + n - 2).

To find the critical value of r, use the formula r = t / sqrt(t^2 + n - 2) where t is the critical t-value for n - 2 degrees of freedom.

Answer for screen readers

To find the critical value of r, use the formula r = t / sqrt(t^2 + n - 2) where t is the critical t-value for n - 2 degrees of freedom.

More Information

Critical values of r are used to determine the strength and significance of a correlation in statistical analysis. The t-value is crucial in this calculation.

Tips

A common mistake is using the wrong degrees of freedom or not properly calculating the t-value, leading to an incorrect critical r value.

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