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=-0.816, n=5
A) Critical values: r= $\pm$ 0.878 , significant linear correlation
B) Critical values: r= $\pm$ 0.878 , no significant linear correlation
C) Critical values: r=0.950 , significant linear correlation
D) Critical values: r= $\pm$ 0.950 , no significant linear correlation

Question

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=-0.816, n=5
A) Critical values:  r= $\pm$ 0.878 , significant linear correlation
B) Critical values:  r=  $\pm$ 0.878 , no significant linear correlation
C) Critical values:  r=0.950 , significant linear correlation
D) Critical values:  r= $\pm$ 0.950 , no significant linear correlation

Quizplus · Accepted Answer

For a sample size of n=5 and a significance level of 0.05, the critical values of r (for a two-tailed test) are approximately $\pm$ 0.878. Since the given r value of -0.816 does not exceed the critical value in absolute terms, it does not represent a significant linear correlation.

Given the Linear Correlation Coefficient R and the Sample