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=-0.148, n = 15

Solution

df = 15-1 = 13, alpha = 0.05, two sided critical values 0.514 from critical values table

Since |r| = 0.148 is not greater than critical value, we fail to reject null, correlation is not significant.