$$\mathrm { r } = 0.543 , \mathrm { n } = 25$$
A) Critical values: $\mathrm { r } = \pm 0.487$, no significant linear correlation
B) Critical values: $r = \pm 0.396$, significant linear correlation
C) Critical values: $r = \pm 0.487$, significant linear correlation
D) Critical values: $r = \pm 0.396$, no significant linear correlation

Question

Quizplus · Accepted Answer

We need to compare the calculated value of r (0.543) with the critical value of r to determine if there is a significant linear correlation or not.

For a sample size of n=25, the critical value of r for a two-tailed test with significance level of 0.05 is 0.396. If the calculated value of r is greater than 0.396 or less than -0.396, the correlation is significant.

Since 0.543 is greater than 0.396, we can conclude that there is a significant linear correlation. Therefore, the only choice that corresponds to a significant correlation with the correct critical values is B.

r=0.543,n=25\mathrm { r } = 0.543 , \mathrm { n } = 25r=0.543,n=25

$\mathrm { r } = 0.543 , \mathrm { n } = 25$