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.