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 = 0.543, n = 25
a. Critical values: r = ±0.396, no significant linear correlation

b. Critical values: r = ±0.396, significant linear correlation

c. Critical values: r = ±0.487, significant linear correlation

d. Critical values: r = ±0.487, no significant linear correlation

Solution

As n = 25, then df = n - 2 = 23.

Hence at 0.05, two tailed, using a table,

rcrit = +/- 0.396

As r > 0.396, there is significant linear correlation.

Hence,

OPTION B: Critical values: r = ±0.396, significant linear correlation [ANSWER, B]