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.
-$$\mathrm { r } = 0.803 , \mathrm { n } = 9$$
A) Critical values: $r = - 0.666$, no significant linear correlation
B) Critical values: $\mathrm { r } = 0.666$, no significant linear correlation
C) Critical values: $r = \pm 0.666$, significant linear correlation
D) Critical values: $r = \pm 0.666$, no significant linear correlation

Question

Quizplus · Accepted Answer

For a sample size of $n = 9$ and a significance level of $0.05$, the critical values of $r$ are approximately $\pm 0.666$. Since the given $r = 0.803$ is greater than $0.666$, it represents a significant linear correlation.

Given the Linear Correlation Coefficient R and the Sample Size r=0.803,n=9\mathrm { r } = 0.803 , \mathrm { n } = 9r=0.803,n=9

Given the Linear Correlation Coefficient R and the Sample Size $\mathrm { r } = 0.803 , \mathrm { n } = 9$