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 = 0.353, n = 15

Answer 1

Given
significance level = 0.05
linear correlation coefficient (r) = 0.353,
sample size (n) = 15
degrees of freedom = n - 2 = 15 - 2 = 13

We can find the critical value from the table = 0.514

Remember if |r| approaches 1, your data becomes more and more correlated.
Since r in the problem statemnet = 0.353, which is smaller in absolute value than the critical r value (0.514), you would say that your data is NOT significantly correlated.

please upvote if this helped