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

Quizplus · Accepted Answer

For a sample size of $n = 5$, the degrees of freedom (df) is $n - 2 = 3$. At a significance level of 0.05 (two-tailed), the critical value of $r$ for $df = 3$ is approximately $\pm 0.878$. Since the given $r = -0.816$ is within the range of $\pm 0.878$, it does not exceed the critical values, indicating no significant linear correlation.

Given the Linear Correlation Coefficient R and the Sample Size r=−0.816,n=5r = - 0.816 , n = 5r=−0.816,n=5

Given the Linear Correlation Coefficient R and the Sample Size $r = - 0.816 , n = 5$