Given the linear correlation coefficient r and the sample si

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r = 0.105, n = 15

Thank you!!

Solution

df = n-2 = 13, critical values = 0.514 at 5% level (2 tailed)

Since |r| = 0.105 < r-critical, we fail to reject null. The correlation is not significant.