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 = -0.802, n = 5

Solution

from r-critical-values table, we see that for n=5, df=n-2=3, critical value at alpha=0.05 is 0.878 (two tailed )

Since given r is not less than -0.878 nor more than 0.878, we fail to reject null

Correlation is not significant